) - 8*p(b). Factor l(t).
-4*(t - 12)*(t - 2)**2*(t + 2)
Let a = -132081 - -132085. Factor 0*c + 2/17*c**a + 0*c**2 + 2/17*c**5 + 0 + 0*c**3.
2*c**4*(c + 1)/17
Let k(h) = -2*h**3 + 103*h**2 + 51*h + 125. Let z be k(52). Let s be z/584 + -2 + 518/208. Find x such that 10/13 - s*x - 2/13*x**2 = 0.
-5, 1
Suppose -5*p + 2*x + 130 - 28 = 0, -x + 39 = 2*p. Suppose 3*y + 12 = 0, -p*h + y = -21*h. What is v in 0*v**2 + 0 - 3/8*v**h + 9/8*v**3 - 3/2*v = 0?
-1, 0, 2
Factor 0 - 62/5*u**3 - 138/5*u**2 + 198/5*u + 2/5*u**4.
2*u*(u - 33)*(u - 1)*(u + 3)/5
Let s(h) be the second derivative of h**5/20 + 47*h**4/12 + 77*h**3 - 1967*h. Let s(p) = 0. What is p?
-33, -14, 0
Let x(f) be the second derivative of -4*f - 16*f**2 + 1/168*f**7 + 43/40*f**5 + 12*f**3 - 1/8*f**6 - 29/6*f**4 + 6. Suppose x(t) = 0. What is t?
1, 2, 4
Suppose -167*l + 340*l - 234 = 95*l. Factor 45*h**2 - 27/2*h**l + 3/2*h**4 + 36 - 66*h.
3*(h - 3)*(h - 2)**3/2
Let q(g) be the first derivative of -g**4/4 + 7*g**3/3 + 41*g**2/2 + 33*g + 3057. Find h, given that q(h) = 0.
-3, -1, 11
Let j(c) be the second derivative of -c**7/2016 + 11*c**6/576 - 3*c**5/16 - 5*c**4/6 + c**2/2 - 17*c - 3. Let l(m) be the third derivative of j(m). Factor l(t).
-5*(t - 9)*(t - 2)/4
Let a = -1037/13 - -217783/2730. Let o(c) be the third derivative of 1/6*c**4 + 0 - 28*c**2 + 0*c + 0*c**5 + 0*c**3 - 1/40*c**6 - a*c**7. Factor o(r).
-r*(r - 1)*(r + 2)**2
Find k, given that 14*k**3 + 115*k**2 - 1310*k + 561 - 161 + 69*k**2 + 142*k**2 - 6*k**4 = 0.
-8, 1/3, 5
Determine y, given that 8*y + 0*y**3 + 1/2*y**4 - 6*y**2 + 0 = 0.
-4, 0, 2
Let c(g) = -20*g**3 + 52441*g**2 - 34322085*g - 34374399. Let n(m) = 2*m**3 - 5244*m**2 + 3432208*m + 3437440. Let x(y) = -2*c(y) - 21*n(y). Factor x(b).
-2*(b - 1311)**2*(b + 1)
Let 23/3*p**3 + 0 - 25/3*p**2 + 1/3*p**5 - 8*p + 25/3*p**4 = 0. Calculate p.
-24, -1, 0, 1
Suppose -4270/3*b - 911645/3 - 5/3*b**2 = 0. What is b?
-427
Let x(b) be the third derivative of b**8/1008 - b**7/90 - b**6/24 + 127*b**5/180 + 7*b**4/36 - 20*b**3/3 - 4*b**2 + 572. Determine l so that x(l) = 0.
-4, -1, 1, 5, 6
Let v(h) be the third derivative of h**5/20 - 29*h**4/8 - 105*h**3 + 1591*h**2. Factor v(p).
3*(p - 35)*(p + 6)
Let p(f) be the first derivative of -f**4/4 - 7*f**3 - 39*f**2/2 + 123*f - 3. Let i(w) be the first derivative of p(w). Determine q, given that i(q) = 0.
-13, -1
Let f be 150/22 - (-18)/99 - 4. Let c(k) be the first derivative of 4/15*k**f + 6/5*k**2 + 0*k + 12. Factor c(h).
4*h*(h + 3)/5
Suppose 0 = 14*i + 8*i + 110. Let l(r) = 3*r**2 - 53*r + 55. Let u(s) = -2*s**2 + 26*s - 27. Let v(t) = i*u(t) - 3*l(t). Factor v(p).
(p - 1)*(p + 30)
Let o = 827 - 836. Let j be (-15)/o - (-77)/33. Find p such that 3/4*p**5 - p + 1/4*p**3 - 2 - 5/2*p**j + 9/2*p**2 = 0.
-1, -2/3, 1, 2
Suppose 2*p + 2*q - 2 = -8, 2*p + 15 = -5*q. Suppose 2*m + 3*m - 20 = p, -2*t - m + 38 = 0. Factor 8*u**2 - t*u**2 + 12*u**2.
3*u**2
Let b(o) = 2*o**2 - 2*o + 4. Let c(n) = 8*n**2 - 1206*n - 178782. Let s(g) = -5*b(g) + c(g). Factor s(x).
-2*(x + 299)**2
Let b(k) be the second derivative of -k**4/8 - 113*k**3/4 - 84*k**2 + 992*k. Factor b(n).
-3*(n + 1)*(n + 112)/2
Suppose -17 = 2*t - 641. Let q = 1265 - t. Find l such that -l**2 - 998*l - 4*l**2 - 40 + q*l = 0.
-8, -1
Let b(w) be the first derivative of -3*w**4/28 + 116*w**3/21 - 1159*w**2/14 + 722*w/7 + 493. Factor b(o).
-(o - 19)**2*(3*o - 2)/7
What is b in -252/13*b**2 + 2/13*b**3 - 976/13 + 984/13*b = 0?
2, 122
Determine q, given that -2156/5*q - 2152/5 - 4/5*q**2 = 0.
-538, -1
Suppose -8*m = 16*m + 1872. Let d = 860/11 + m. Factor -d*i**2 + 0 + 6/11*i.
-2*i*(i - 3)/11
Let g(w) be the second derivative of -1/63*w**7 + 32/9*w**4 - 29*w + 0*w**2 + 0 + 4/15*w**6 - 8/5*w**5 + 0*w**3. Solve g(r) = 0.
0, 4
Let n = -73769 - -73769. What is j in 5/3*j**3 - 2/3*j**2 - 2/3*j**4 + n*j + 0 = 0?
0, 1/2, 2
Find q such that 3/5*q**4 - 384/5 + 57/5*q**3 + 126/5*q**2 - 312/5*q = 0.
-16, -4, -1, 2
Let v(w) be the third derivative of w**5/60 - 160*w**4/3 + 204800*w**3/3 + 71*w**2 - 41. Determine j so that v(j) = 0.
640
Suppose 28*r - 39 - 45 = 0. Suppose 0 = 4*c - 2*l - 22, -r*l + 35 = -4*c + 60. Let 0*z + 0 - 1/2*z**3 + 1/2*z**5 + 2*z**2 - 2*z**c = 0. Calculate z.
-1, 0, 1, 4
Let b = -356286 + 356288. Let -18/11*l + 8/11 - 2/11*l**3 + 12/11*l**b = 0. Calculate l.
1, 4
Let j(a) = -a**2 + a + 1. Suppose -184 = -13*r + 36*r. Let f(i) = -12*i**2 - 288*i - 5468. Let z(d) = r*j(d) + f(d). Factor z(s).
-4*(s + 37)**2
Suppose -743*f + 329*f = -226*f. Determine y, given that f*y + 2/7*y**5 + 4/7*y**3 - 6/7*y**4 + 0 + 0*y**2 = 0.
0, 1, 2
Suppose u - 15 = 5*d, 0 = -d + 2*u + 2 + 4. Let s be (12/(-8) - d)/(1/6). Let 23 - 55*w + 0*w - 3 - s*w**2 = 0. What is w?
-4, 1/3
Let w = -9260 + 9260. Let n(p) be the first derivative of 0*p**2 - 3/14*p**4 + w*p + 2/35*p**5 + 4/21*p**3 - 4. Solve n(m) = 0.
0, 1, 2
Let t(f) be the third derivative of -2809*f**5/420 - 53*f**4/7 - 24*f**3/7 - 4744*f**2. Let t(k) = 0. Calculate k.
-12/53
Let n(p) be the first derivative of -p**7/7980 - p**6/684 - p**5/285 + 10*p**3/3 - 3*p + 27. Let x(v) be the third derivative of n(v). Factor x(y).
-2*y*(y + 1)*(y + 4)/19
Let k(f) be the first derivative of f**5/15 + f**4/12 - 5*f**3/9 + f**2/2 - 3076. Factor k(g).
g*(g - 1)**2*(g + 3)/3
Let s be (-2 + (-66)/(-55))/((-1)/(-10)) - 8/(-1). Let s - 3/7*h**3 - 3/7*h**2 + 18/7*h = 0. Calculate h.
-3, 0, 2
Let g(p) be the second derivative of p**6/180 - 52*p**5/15 + 2704*p**4/3 + 55*p**3/2 + 12*p - 1. Let m(a) be the second derivative of g(a). Factor m(s).
2*(s - 104)**2
Let d(m) be the second derivative of 1/110*m**5 + 35*m + 0*m**4 - 13/33*m**3 + 12/11*m**2 + 1. Determine h so that d(h) = 0.
-4, 1, 3
Determine r so that 125*r**2 - 128*r**2 + 601*r + 1620 - 2218*r = 0.
-540, 1
Let l = 1509/2 + -13501/18. Solve -8/3*r - 2/9*r**2 - l = 0 for r.
-10, -2
Let v be ((-12)/(-10)*((-546)/(-130))/21)/(6/45). Let a = 1/147 - -877/735. Suppose 6/5*g**4 + v*g**5 - 3/5*g - 36/5*g**2 - 6*g**3 + a = 0. Calculate g.
-1, 1/3, 2
Let y(r) be the first derivative of -r**7/945 - r**6/54 - 4*r**5/45 + 3*r**2/2 - 58. Let v(g) be the second derivative of y(g). Determine l so that v(l) = 0.
-6, -4, 0
Factor -1/6*n**4 + 0 - 104*n**2 + 17/2*n**3 - 338/3*n.
-n*(n - 26)**2*(n + 1)/6
Let b(x) = -9*x**3 - 78*x**2 + 5*x + 70. Let r = 532 + -528. Let u(s) = -125*s**3 - 1090*s**2 + 70*s + 980. Let p(v) = r*u(v) - 55*b(v). Factor p(a).
-5*(a - 1)*(a + 1)*(a + 14)
Let q be -5 + 2 - (-18)/4. Let u = 19318 - 19318. Factor -q*h**2 + u + 0*h.
-3*h**2/2
Let 5881*o**2 - 11735*o**2 + 5890*o**2 - 33*o - 3*o**3 = 0. What is o?
0, 1, 11
Let g(o) = 3775*o + 15108. Let n be g(-4). Factor -n + 2/19*r**3 + 160/19*r - 46/19*r**2.
2*(r - 19)*(r - 2)**2/19
Let i(v) be the third derivative of v**5/80 - 15*v**4/16 + 125*v**3/8 + 461*v**2. Determine z, given that i(z) = 0.
5, 25
Let r(b) be the first derivative of 14*b**5/45 + 13*b**4/9 + 2*b**3 + 4*b**2/9 - 8*b/9 + 992. Suppose r(x) = 0. What is x?
-2, -1, 2/7
Determine k so that 44/5*k - 4*k**3 - 1/5*k**4 - 83/5*k**2 + 84 = 0.
-14, -5, -3, 2
Factor -7719*d + 4895*d - 14176*d - 5*d**4 + 6675*d**2 - 630*d**3.
-5*d*(d - 5)**2*(d + 136)
Let f be -34 - 8476/(-2470)*10. Solve 2/19 - 2/19*k**2 - 6/19*k + f*k**3 = 0.
-1, 1/3, 1
Let w(d) = 33*d**2 - 3475*d + 794. Let k(i) = 68*i**2 - 6950*i + 1584. Let l(n) = -6*k(n) + 11*w(n). Determine r, given that l(r) = 0.
2/9, 77
Let r = -14299 - -14302. Find y, given that 2/3*y**4 - 8*y**r - 20/3*y + 14*y**2 + 0 = 0.
0, 1, 10
Let q be 1775/975 + (-12)/78 + 2/6. Let j(k) = -k**3 + 7*k**2 - 7*k + 6. Let m be j(6). Suppose 2/3*o**3 + m*o + 0 - 4/3*o**q = 0. Calculate o.
0, 2
Let j be (-1)/3 - ((-619)/3 - 0). Suppose 6*w**4 + 56 + 110*w**3 + 20*w**4 + 2*w**5 + 0*w**4 + j*w**2 + 176*w = 0. What is w?
-7, -2, -1
Let d(k) be the second derivative of 1/1980*k**6 + 0*k**2 + 16*k + k**3 - 1/110*k**5 + 0 + 3/44*k**4. Let q(m) be the second derivative of d(m). Factor q(t).
2*(t - 3)**2/11
Let f(a) be the second derivative of -a**5/140 + a**3/14 - 23*a**2 + 6*a. Let u(p) be the first derivative of f(p). Factor u(i).
-3*(i - 1)*(i + 1)/7
Let p(k) = 9*k. Let w be p(5). Let j = 47 - w. Suppose q**j + 2*q**3 - q**2 + 4*q**2 + 2*q = 0. What is q?
-1, 0
Let v(n) be the third 