 + 125*q**2/2 - 25*q + 17. Let l(g) be the first derivative of t(g). Solve l(y) = 0.
-5
Suppose -x - 14 = -3*u, 14 = 4*x + u + u. Let y(v) be the first derivative of 0*v - x + 15/2*v**2 + 5/3*v**3. What is i in y(i) = 0?
-3, 0
Let l = -14885/7 - -2127. Factor -2/7*p**3 + 2/7*p + l*p**2 - 4/7.
-2*(p - 2)*(p - 1)*(p + 1)/7
Let m(h) be the first derivative of h**3/3 + 8*h**2 - 136. Factor m(a).
a*(a + 16)
Suppose -5*b = 2*z - 11, -2*b = 2*z + 2*z + 2. Factor -8 + 5 - b*y**3 + 3*y**5 + 3.
3*y**3*(y - 1)*(y + 1)
Let a be (9/(-15))/((-7)/70). Let h(u) be the third derivative of 0 + 8/3*u**3 + 1/5*u**5 - u**4 - 2*u**2 + 0*u - 1/60*u**a. Solve h(i) = 0.
2
Let p(y) = 6*y**2 + 2*y - 10. Let h(w) = -7*w**2 - w + 11. Suppose -7 = 5*b + 6*z - 8*z, 16 = -4*z. Let u(j) = b*p(j) - 2*h(j). Let u(f) = 0. What is f?
-2, 1
Suppose 0 = x + a - 4, -4*a + 4 = 0. Factor -3*r**2 + 0*r**x + 0*r**3 + 4 + r**3 - 2*r**3.
-(r - 1)*(r + 2)**2
Let i = -86 - -79. Let h(q) = -4*q**2 + 2. Let o(f) = 13*f**2 - f - 7. Let c(w) = i*h(w) - 2*o(w). Find a, given that c(a) = 0.
-1, 0
Let m(p) be the third derivative of -121*p**6/270 - 11*p**5/9 - 8*p**4/9 - 8*p**3/27 - 69*p**2 + 3. Factor m(f).
-4*(f + 1)*(11*f + 2)**2/9
Suppose -3*l + 48 = l. Let u = l + -4. Determine c, given that u*c - c**2 - 4 - 4 - 2*c - 1 = 0.
3
Let c(i) be the third derivative of -i**7/525 + i**6/100 + 8*i**5/75 + i**4/5 + 110*i**2. Factor c(w).
-2*w*(w - 6)*(w + 1)*(w + 2)/5
Let m(b) = -4*b**2 + 46*b - 14. Let a(u) = -u**2 + 9*u - 3. Suppose 9*v - 3 = 8*v. Let o(f) = v*m(f) - 14*a(f). Factor o(s).
2*s*(s + 6)
Let v(g) be the third derivative of -g**8/2016 + 17*g**7/1260 - 2*g**6/15 + g**5/2 + 11*g**2 + 8*g. Find z, given that v(z) = 0.
0, 5, 6
Let a(v) be the second derivative of -v**4/54 - 56*v**3/27 - 784*v**2/9 - 673*v. Find c, given that a(c) = 0.
-28
Let q(m) be the first derivative of -m**6/210 + m**5/28 - 3*m**4/28 + m**3/6 - m**2/7 - 37*m - 27. Let s(u) be the first derivative of q(u). Factor s(z).
-(z - 2)*(z - 1)**3/7
Let c(k) be the second derivative of k**5/230 - k**4/69 - 13*k**3/69 - 10*k**2/23 + 105*k. Find a such that c(a) = 0.
-2, -1, 5
Let i(p) be the third derivative of 4*p**7/105 - 13*p**6/60 + p**5/10 + 4*p**4/3 - 4*p**3/3 + 5*p**2 + 10. Factor i(m).
2*(m - 2)**2*(m + 1)*(4*m - 1)
Factor -6/5*w + 3/5*w**3 + 0 - 3/5*w**2.
3*w*(w - 2)*(w + 1)/5
Let r(l) be the first derivative of -4*l**2 + 20 - 12*l - 4/9*l**3. Solve r(h) = 0 for h.
-3
Factor 0*n + 0 + 1/4*n**3 + 1/2*n**2.
n**2*(n + 2)/4
Factor 200/13 + 2/13*v**2 - 40/13*v.
2*(v - 10)**2/13
Let a = -6361/231 + -10/77. Let f = a + 29. Factor 2/9*k**4 + f*k**2 - 8/9*k**3 + 2/9 - 8/9*k.
2*(k - 1)**4/9
Factor -11*m**3 + 4*m**4 - 1/2*m**5 + 14*m**2 - 17/2*m + 2.
-(m - 4)*(m - 1)**4/2
Let u(z) be the second derivative of -6*z + 1/3*z**4 + 0*z**2 - 2/3*z**3 + 0. Factor u(l).
4*l*(l - 1)
Let v(y) = y**3 + 19*y**2 - 22*y - 37. Let o be v(-20). Let x(q) be the third derivative of -7/30*q**5 + 0*q - q**4 + 0 - 2*q**2 + 4/3*q**o. Factor x(d).
-2*(d + 2)*(7*d - 2)
Let 48*o**2 - 147*o - 7*o**3 + 4*o**3 + 144 + 76*o - 85*o = 0. Calculate o.
2, 12
Let o(t) = -t**2 + 2*t + 6. Let n be -2*(4 - 15/6). Let y(p) = p**2 - 2*p - 5. Let d(u) = n*o(u) - 2*y(u). Find w, given that d(w) = 0.
-2, 4
Let g(c) = 2*c - 4. Let a be g(4). Determine n so that 9*n**2 - a*n**2 - 3*n**2 - 2 + n**2 + n = 0.
-1, 2/3
Factor k + 15*k**3 - 1 - 17*k**3 + k**4 + 3*k - 2*k.
(k - 1)**3*(k + 1)
Let j(w) be the third derivative of 1/39*w**3 + 0 + 0*w**4 - 36*w**2 + 0*w - 1/390*w**5. Factor j(y).
-2*(y - 1)*(y + 1)/13
Find p such that -60/7*p + 36/7 - 39/7*p**2 + 18/7*p**5 - 87/7*p**4 + 132/7*p**3 = 0.
-2/3, 1, 3/2, 2
Suppose 0 = -4*l - 488 + 148. Let k be 2/10 - l/75. Solve 0 - 4/3*j**2 - 1/3*j**3 - k*j = 0.
-2, 0
Let 192/7*w**2 + 2/7*w - 2/7*w**3 - 192/7 = 0. What is w?
-1, 1, 96
Let d(g) = g**2 - g + 3. Let v(y) = -y**2 + y - 8. Let p(l) = 6*d(l) + 3*v(l). Factor p(n).
3*(n - 2)*(n + 1)
Suppose 0 = 3*c - 20 + 2. Let d be ((-54)/15)/(c/(-20)). Factor -2*s**4 + 4*s**4 - 3 - s**3 - d*s - 11*s**3 - 18*s**2 - 5*s**4.
-3*(s + 1)**4
Factor 22*q - 11*q**2 + 28*q**2 + 2*q**2 - 12*q + 6*q**2 + 5*q**4 + 20*q**3.
5*q*(q + 1)**2*(q + 2)
Let w be 3/2 - 5/(-2). Let 0*l**3 + 3*l**4 - 3*l**2 - 4*l**4 - w*l**3 - l**2 = 0. What is l?
-2, 0
Let x(l) be the first derivative of 2/15*l**5 + 14 - 1/6*l**4 + 0*l**3 + 0*l + 0*l**2. Find d, given that x(d) = 0.
0, 1
Let -8*o**5 - 29/2*o**2 + 28*o**4 + 2*o + 39/2*o**3 + 0 = 0. What is o?
-1, 0, 1/4, 4
Let d(s) = -12*s**2 + 35*s - 32. Let l(h) = 6*h**2 - 18*h + 16. Let f(k) = 2*d(k) + 5*l(k). Find v such that f(v) = 0.
4/3, 2
Let t(y) be the third derivative of y**5/12 + 115*y**4/12 + 75*y**3/2 - 152*y**2. What is v in t(v) = 0?
-45, -1
Let k(j) be the third derivative of 7/30*j**5 + 0 + 27*j**2 - 1/9*j**3 - 1/8*j**4 + 0*j + 49/360*j**6. Factor k(n).
(n + 1)*(7*n - 2)*(7*n + 1)/3
Suppose -z + 6*n - 2 = 3*n, 5*z + 4*n = 66. Let l(m) be the first derivative of -z + 4/3*m**3 + 2*m**2 + 0*m. Let l(t) = 0. Calculate t.
-1, 0
Let d(c) = 4*c - 14. Let s = -22 + 26. Let z be d(s). Factor -1/4*x**z - 1/2*x - 1/4.
-(x + 1)**2/4
Suppose 2 + 4 = -5*i + 21. Factor 2/3*b**i - 2/3*b - 2*b**2 + 2.
2*(b - 3)*(b - 1)*(b + 1)/3
Let i(d) = -15*d**5 - 52*d**4 + 190*d**3 - 204*d**2 + 89*d - 20. Let s(l) = -l**5 - l**3 - 2. Let t(r) = -i(r) + 3*s(r). Determine n, given that t(n) = 0.
-7, 1/2, 2/3, 1
Let w be (216/78)/18 - (-152)/26. Let z(s) be the third derivative of 1/2*s**3 + 1/16*s**5 + 0*s + 11*s**2 - 1/160*s**w + 0 - 1/4*s**4. Factor z(k).
-3*(k - 2)**2*(k - 1)/4
Let u(b) be the second derivative of -b**4/12 - 35*b**3/3 - 3*b - 146. Determine m, given that u(m) = 0.
-70, 0
Let u(g) be the first derivative of -g**6/90 - 3*g**5/10 - 3*g**4 - 12*g**3 - 9*g - 7. Let s(t) be the first derivative of u(t). Find q such that s(q) = 0.
-6, 0
Let p(o) = o**4 + o**3 + 1. Let d(h) = -12*h**4 + 16*h**3 - 32*h**2 - 24*h + 28. Let j(r) = -d(r) - 8*p(r). What is f in j(f) = 0?
-1, 1, 3
Suppose 3*a = 3*v + 33, -v - 41 = 5*a - 120. Find x such that -3 - a*x + 1 + 7 + 5 - 10*x**2 = 0.
-2, 1/2
Let n(c) be the first derivative of 7*c**4/18 - 8*c**3/3 + 20*c**2/3 - 64*c/9 + 107. Factor n(j).
2*(j - 2)**2*(7*j - 8)/9
Let y(v) be the second derivative of v**5/180 - v**3/18 + v**2 + 4*v. Let b(x) be the first derivative of y(x). Find m, given that b(m) = 0.
-1, 1
Suppose -13 = -6*o + 41. Let h be (o/36)/((-1)/(-4)). Factor -3/4*t**2 - 1/4*t**4 - t + h + t**3.
-(t - 2)**2*(t - 1)*(t + 1)/4
Let c(q) = -q**4 - 2*q**3 - q**2 + 2. Let o(n) = -12*n**4 + 18*n**3 - 111*n**2 - 2304*n + 6942. Let s(y) = 15*c(y) - o(y). Suppose s(w) = 0. Calculate w.
-12, 4
Let o = -6 - -10. Suppose -2*w - o = -2*r, 5*r + 9 = -w + 31. Factor -y - r*y**5 + 2*y**3 + 0*y**5 + 3*y**5.
-y*(y - 1)**2*(y + 1)**2
Let h(u) be the third derivative of 0 + 0*u + 1/6*u**4 - 7*u**2 - 2/45*u**5 - 2/9*u**3. Factor h(n).
-4*(n - 1)*(2*n - 1)/3
Let q = -3538 + 3540. Find f, given that 0*f**q + 0*f + 0 - 9/5*f**4 + 2/5*f**3 = 0.
0, 2/9
Let z be 2/(-9) + (-1424)/(-576) + -2. Let t(f) be the second derivative of -1/2*f**3 - z*f**4 + 0 + 0*f**2 - 4*f. Let t(h) = 0. What is h?
-1, 0
Suppose 0 = -0*c + 3*c. Suppose -h = -3 - c. Find x, given that 4*x**5 + 3*x + 2*x**2 - 4*x**h - 3*x**5 + 11 - 13 = 0.
-2, -1, 1
Solve -j - 3*j**2 + 3*j**3 + 4*j - j**2 - 16*j - 6 = 0.
-1, -2/3, 3
Let w(o) = 3*o**3 + 31*o**2 - 128*o + 132. Let s(m) = -16*m**3 - 156*m**2 + 640*m - 660. Let z(p) = -4*s(p) - 22*w(p). Let z(n) = 0. Calculate n.
-33, 2
Let x = 53/132 - -13/132. Factor -t**2 - x + 9/4*t.
-(t - 2)*(4*t - 1)/4
Let u = -41 - -43. Factor 3*m**2 - 6*m**2 - 5*m**3 - 6*m**2 + 4*m**u.
-5*m**2*(m + 1)
Let h(o) be the second derivative of 0*o**3 + 0*o**2 + 0 - 1/4*o**4 - 3/20*o**5 - 13*o. Factor h(a).
-3*a**2*(a + 1)
Suppose -2*z + 20 = 16*w - 12*w, 4*z - w - 4 = 0. Suppose 3 = -v + 2*v. Factor -v + 6*o - 1 - 3*o**z + 1.
-3*(o - 1)**2
Let r(w) be the second derivative of 7*w + 35/12*w**4 + 0*w**2 - 3 + 5/6*w**3. Factor r(c).
5*c*(7*c + 1)
Let t(k) = -k**3 - 2*k**2 - k. Let i(a) = 14*a**3 + 48*a**2 - 94*a - 80. Let y(w) = i(w) + 2*t(w). Solve y(d) = 0 for d.
-5, -2/3, 2
Let s(v) be the second derivative of -v**8/5040 + v**7/840 - v**6/540 - 11*v**3/3 + 20*v. Let d(l) be the