 149628877/168. Factor y + 272/3*f**3 + 2/3*f**4 + 4624*f**2 + 314432/3*f.
2*(f + 34)**4/3
Let k(d) = d**2 - 9*d + 6. Let u be k(0). Factor 13 - u + v - 2*v + 5*v**2 - 4*v**2 - 7*v.
(v - 7)*(v - 1)
Let x(q) be the second derivative of -q**5/6 + 15*q**4/8 + 104*q**2 + q + 55. Let i(y) be the first derivative of x(y). Solve i(s) = 0.
0, 9/2
Let y(w) = 700*w**2 - 11198*w - 32. Let m be y(16). Factor 0*d - 18/13*d**2 - 6/13*d**3 + m - 2/13*d**5 + 10/13*d**4.
-2*d**2*(d - 3)**2*(d + 1)/13
Let q(b) be the third derivative of b**9/75600 - b**8/25200 + 37*b**5/60 + 83*b**2. Let v(l) be the third derivative of q(l). Find d such that v(d) = 0.
0, 1
Find v such that -384 - 10*v**3 + 160*v**2 - 2*v**3 - 115*v - 381*v + 32*v = 0.
-2/3, 6, 8
Let r be 24 - 49/((-882)/180). Let x(i) be the second derivative of -1/12*i**3 + 0 - i**2 - r*i + 1/48*i**4. Factor x(q).
(q - 4)*(q + 2)/4
Let j(a) = -204*a**2 + 2*a + 5. Let y(u) = 183*u**2 - 2*u - 6. Let h(w) = 6*j(w) + 5*y(w). Solve h(m) = 0 for m.
0, 2/309
Let w(s) be the first derivative of 0*s**2 - 1/15*s**5 + 0*s - 5/9*s**3 + 195 - 1/2*s**4. Let w(y) = 0. Calculate y.
-5, -1, 0
Let f(w) = 4 + 2 - 2*w - 3*w - 3*w**2 - 12*w. Let r be f(-6). Find x such that 1/2*x**2 + r - 3*x + 1/2*x**3 = 0.
-3, 0, 2
Let t(g) be the first derivative of 2*g**3/9 + 220*g**2/3 + 24200*g/3 - 3153. Determine k, given that t(k) = 0.
-110
Let h(v) = -70*v**4 - 1060*v**3 - 1215*v**2 + 25*v + 25. Let t(x) = -3*x**4 + 2*x**3 - 4*x**2 + x + 1. Let w(q) = -h(q) + 25*t(q). Determine u so that w(u) = 0.
-1, 0, 223
Let x(h) be the first derivative of -44*h**3 - 18*h**4 - 4/5*h**5 + 0*h - 53 - 32*h**2. Solve x(y) = 0.
-16, -1, 0
Let j(z) = 323*z**2 + 12*z - 13. Let k be j(1). Suppose -2*v - 2 = k*y - 326*y, -2*v = 5*y - 16. Factor 8/5*s**3 - 1/5*s**5 + 4/5 - 2/5*s**y - 7/5*s - 2/5*s**4.
-(s - 1)**3*(s + 1)*(s + 4)/5
What is f in -81800*f**3 + 40899*f**3 + 120*f**2 + 40903*f**3 + 228 + 346*f = 0?
-57, -2, -1
Factor 188*r**2 - 136806*r + 6885902 - 116*r**3 + 718*r**2 - 69*r**3 + 183*r**3.
-2*(r - 151)**3
Suppose -509/2*n**3 - 695/2*n**4 - 100 + 7/2*n**5 + 895/2*n**2 + 251*n = 0. What is n?
-1, 2/7, 1, 100
Let v(p) be the first derivative of -p**6/9 - 3*p**5 - 52*p**4/3 + 68*p**3 + 144*p**2 - 576*p - 5366. Solve v(d) = 0 for d.
-12, -2, 3/2, 2
Let s(a) = -5*a**2 - 2*a + 5. Let t be s(4). Let j = 87 + t. Factor -3*l**3 - 4*l**3 + 8*l**2 + 2*l**3 + l**3 - 8*l**j + 4*l**5.
4*l**2*(l - 2)*(l - 1)*(l + 1)
Let d(s) be the third derivative of 116*s**2 + 0 + 3/5*s**4 + 0*s - 2/5*s**3 - 11/200*s**6 - 9/100*s**5. Suppose d(a) = 0. What is a?
-2, 2/11, 1
Let k(n) = -n**3 - 55*n**2 - 724*n + 96. Let g be k(-33). Let y(u) be the third derivative of 0 + g*u**2 + 4/9*u**4 + 0*u + 64/9*u**3 + 1/90*u**5. Factor y(f).
2*(f + 8)**2/3
Let l(p) be the second derivative of 9/20*p**5 + 1/4*p**4 + 0*p**2 - 7*p + 0*p**3 + 7 + 3/10*p**6 + 1/14*p**7. Factor l(i).
3*i**2*(i + 1)**3
Suppose -a + 0*a = -4. Suppose h - 10 = -a*h. Let -4*r + 8*r**3 + 19*r - 7*r - h*r**4 - 2 - 12*r**2 = 0. What is r?
1
Suppose 4*w = -4*q + 8, -3*w - 2*q - 5 = -12. Suppose -7*x = -6*x - 92. Suppose -22*f + 102*f - 42 + 20*f**w - 6 + x*f**2 = 0. What is f?
-3, -2, 2/5
Find d, given that -1089/5*d**2 + 1/5*d**3 + 435*d - 1087/5 = 0.
1, 1087
What is i in -2*i**2 + 10*i**2 - i**3 - 30*i + 6*i**2 + 7*i**2 - 10*i**2 = 0?
0, 5, 6
Let l = 69002 + -482214/7. Suppose 2/7*c**2 + l + 80/7*c = 0. What is c?
-20
Let i(x) = -31*x**2 - 8408*x + 8836808. Let z(m) = -166*m**2 - 42040*m + 44184040. Let y(w) = 16*i(w) - 3*z(w). Factor y(a).
2*(a - 2102)**2
Let n(g) = 837*g**2 + 16742*g + 42. Let u be n(-20). Factor -2/3*s**3 + 4*s**u + 0*s - 64/3.
-2*(s - 4)**2*(s + 2)/3
Let i(a) = 34*a**2 - 19. Let f be i(4). Factor -784 + b**5 + f*b**3 + 196*b**3 - 840*b + 57*b**4 + 118*b**3 + 727*b**2.
(b - 1)*(b + 1)**2*(b + 28)**2
Let i(k) be the first derivative of k**3/27 - 17*k**2/9 + 95*k/3 - 3111. Solve i(z) = 0 for z.
15, 19
Suppose -3409/5*r**2 - 1296/5 + 1224*r - 263*r**3 - 20*r**4 = 0. Calculate r.
-36/5, 1/4, 1
Suppose 56*i**4 - 4*i**5 - 240*i**3 + 54 + 424*i**2 + 35 - 36 + 43 - 332*i = 0. What is i?
1, 3, 8
What is x in 22*x**3 - 8267*x + 2*x**5 - 20*x**2 - 6*x**3 + 8249*x + 20*x**4 = 0?
-9, -1, 0, 1
Let c(w) be the first derivative of -w**4 + 200*w**3/3 - 194*w**2 + 192*w + 521. Suppose c(p) = 0. What is p?
1, 48
Let p(f) be the first derivative of -39/2*f**2 + 257 + 75/2*f + 1/2*f**3. Factor p(l).
3*(l - 25)*(l - 1)/2
Let f(u) be the second derivative of -u**7/420 + 77*u**6/300 - 149*u**5/100 + 221*u**4/60 - 293*u**3/60 + 73*u**2/20 - 4944*u. Let f(j) = 0. What is j?
1, 73
Let g be (-7 - 7)*(-25)/(-10)*20/(-150). Factor g*y**3 - 784/3 - 132*y**2 + 952*y.
2*(y - 14)**2*(7*y - 2)/3
Let w(s) = 28*s**3 - 1222*s**2 - 8297*s + 1543. Let q(t) = -27*t**3 + 1221*t**2 + 8298*t - 1542. Let r(b) = -5*q(b) - 6*w(b). Factor r(p).
-3*(p - 43)*(p + 6)*(11*p - 2)
Let m(h) = -61*h**3 - 90*h**2 + h**3 + 32*h - 10 - h**4 + 4. Let v(u) = -u**4 + u**3 - u**2 + 1. Let d(t) = -m(t) - 6*v(t). Factor d(c).
c*(c + 4)**2*(7*c - 2)
Let z be -2 + (-7 - (-84)/7). Let p be (-33)/165*(-21 + 1). Let -38/5*w**p - 28/5*w**2 + 2*w**5 + 2/5 + 2/5*w + 52/5*w**z = 0. Calculate w.
-1/5, 1
Suppose -4 = -11*g + 9*g. Suppose -5 = -g*b + 3. Factor 57*o - 4*o**3 - 67*o + 2*o**3 + 8*o**2 + b.
-2*(o - 2)*(o - 1)**2
Let p(w) be the third derivative of w**7/630 - 37*w**6/90 + 431*w**5/15 + 2812*w**4/9 + 11552*w**3/9 + 552*w**2. Factor p(s).
(s - 76)**2*(s + 2)**2/3
Let j(z) be the first derivative of -2306/21*z**3 + 20*z**4 - 162/7*z + 64 - 32/35*z**5 - 90*z**2. Factor j(k).
-2*(k - 9)**2*(4*k + 1)**2/7
Let a = -560 + 572. Suppose -120*x + 124*x - a = 0. Let 12/11*c**2 + 64/11 + 1/11*c**x + 48/11*c = 0. What is c?
-4
Let p(h) be the third derivative of 1/1008*h**8 - 1/135*h**7 + 1/54*h**6 + 8 + 0*h**4 + h**2 - 2/135*h**5 + 0*h + 0*h**3. Factor p(a).
a**2*(a - 2)**2*(3*a - 2)/9
Let g(q) be the first derivative of q**5/40 + 5*q**4/16 - 19*q**3/8 - 5*q**2/8 + 7*q + 3964. What is m in g(m) = 0?
-14, -1, 1, 4
Let g(o) = 8*o - 4. Let l be g(1). Determine q so that q**l + 0*q - 4 + 4 - 3*q**3 + 4*q = 0.
-1, 0, 2
Let f be ((-2)/(-5))/(1 + 13224/(-13240)). Let i = -329 + f. Factor 0 - 1/2*q + 1/2*q**3 + 0*q**i.
q*(q - 1)*(q + 1)/2
Find r, given that 2/15*r**2 - 2/15 + 2/15*r**3 - 2/15*r = 0.
-1, 1
Let r(g) = -3*g**5 - 21*g**4 + 23*g**3 + 31*g**2 - 5*g - 15. Let o(u) = -u**5 - u**4 + u**3 - u**2 - u - 3. Let z(n) = -10*o(n) + 2*r(n). Factor z(m).
4*m**2*(m - 6)*(m - 3)*(m + 1)
Let z(h) be the first derivative of h**7/14 - h**6/10 - 3*h**5/20 + h**4/4 + 3*h + 4. Let f(g) be the first derivative of z(g). Factor f(j).
3*j**2*(j - 1)**2*(j + 1)
Suppose -9*z + h = -43, 0 = 2*z + 4*h - 4062 + 4082. Factor 0 - 6*j**2 - 14/5*j**3 - 18/5*j - 2/5*j**z.
-2*j*(j + 1)*(j + 3)**2/5
Let h = -54 - -59. Suppose -h = 3*o - 4*o. Determine g so that 98 - 7*g**2 + o*g**2 - 28*g + 4*g**2 + 0*g**2 = 0.
7
Let w(p) be the first derivative of 2/3*p**3 + 8*p**2 + 118 + 32*p. Let w(d) = 0. Calculate d.
-4
Let p(x) be the third derivative of 0*x + 1/2*x**4 + 1/30*x**6 + 1/5*x**5 + 2/3*x**3 + 44*x**2 + 0. Let p(j) = 0. Calculate j.
-1
Let p = -44 - -43. Let q be p/20*-4 + 77/15. Factor 16/3*d - q - 4/3*d**2.
-4*(d - 2)**2/3
Let c(w) = 7*w**2 - 103*w + 300. Let o(f) = 120*f**2 - 1750*f + 5115. Let n(y) = 35*c(y) - 2*o(y). Solve n(q) = 0 for q.
3, 18
Suppose 2*i = -u + 5, -1 = -u - 3*i + 5. Factor 379*j**2 - 2*j**3 - 10*j**u - 147*j - 295*j**2.
-3*j*(2*j - 7)**2
Suppose 18*t + 22*t + 72 + 127 - 319 = 0. Let -5/4*h + 1/4*h**4 - 3/2 + 5/4*h**2 + 5/4*h**t = 0. What is h?
-3, -2, -1, 1
Suppose -2*a - 2*v = -0*v + 110, -4*v = 20. Let j = a - -59. Find y such that -2*y**4 - 4*y**3 - 11*y - 3*y**2 - 2*y**2 + j*y + y**4 = 0.
-2, -1, 0
Let o(w) = -w**3 + 21*w**2 + 100*w + 35. Let s be o(25). Let m be 90/s + 3 + -3. Solve 3/7*p**5 - 9/7 - m*p**3 + 3/7*p**4 + 6/7*p**2 + 15/7*p = 0 for p.
-3, -1, 1
Let f = -5407/340 + 1458/85. Factor -6 + 29/2*m + f*m**2.
(m + 12)*(5*m - 2)/4
Let i(a) be the second derivative of -a**5/80 + 1303*a**4/24 - 1697809*a**3/24 - 668*a - 1. Factor i(n).
-n*(n - 1303)**2/4
Let h(w) be the third derivative of 17/25*w**5 + 0*w + 9/5*w**4 - 8*w**3 + 8 + 7*w**2 + 3/100*w**6. Factor h(c).
6*(c +