3*a**5/20 - 133*a**2. Let u(d) be the third derivative of v(d). Factor u(n).
-n**3*(n + 1)**2/6
Let a = -465 + 651. Let v be (0 - 2) + a/341 + 2. What is z in 2/11*z**5 - 4/11*z**4 + 8/11*z + 0 - v*z**3 + 8/11*z**2 = 0?
-1, 0, 2
Let n(q) be the second derivative of 3/20*q**5 - 1/3*q**3 + 2 + 5*q + 1/30*q**6 - 1/42*q**7 + 0*q**2 - 1/12*q**4. Factor n(d).
-d*(d - 2)*(d - 1)*(d + 1)**2
Let u(c) be the first derivative of c**6/4 + 42*c**5/5 + 597*c**4/8 + 284*c**3 + 525*c**2 + 456*c - 13267. Suppose u(b) = 0. What is b?
-19, -4, -2, -1
Let q be ((-3971)/(-6897))/((-19)/(-18)). Let d be (24/330)/(2/5). Let -10/11*u + q*u**2 + d*u**4 - 8/11 + 10/11*u**3 = 0. Calculate u.
-4, -1, 1
Let h(p) be the second derivative of p**4/54 - 4*p**3/27 - 1299*p. Determine k so that h(k) = 0.
0, 4
Let i(k) = -k**3 - 22*k**2 + 21*k - 22. Let y be i(-23). Suppose -39*a = -35*a - y. Factor a*u**2 + 3*u**2 - 63*u**2 - 34*u + 0*u**3 - 8*u**3 + 12.
-2*(u + 1)*(u + 6)*(4*u - 1)
Let b(t) = -4*t**2 - 1023*t - 10533. Let z be b(-245). Let a be -1*2*(-2)/3. Solve 2/9*i**4 - 4/3*i**3 - 2 + 16/9*i**z + a*i = 0 for i.
-1, 1, 3
Let o(p) be the first derivative of p**6/1620 - p**5/45 + 58*p**3/3 - 83. Let u(i) be the third derivative of o(i). Determine h so that u(h) = 0.
0, 12
Let t(z) = 15*z + 9. Let j be t(-4). Let u = j + 59. Solve 5*d - 4*d**2 - u*d**3 - 2 - 125*d**4 + 3*d + 131*d**4 = 0 for d.
-1, 1/3, 1
Let r(u) = -116*u**3 + 2*u**2 - 6*u + 2. Let i be r(-3). Factor -4 + 29 - i*v**2 - 30*v + 3175*v**2.
5*(v - 5)*(v - 1)
Let p = -1465970/9 + 162886. Determine q so that -p + 0*q + 4/9*q**2 = 0.
-1, 1
Let m be (-4)/(-5)*(-711)/(-1422). Factor 1/5*o**2 + 3/5*o + m.
(o + 1)*(o + 2)/5
Let i(v) be the second derivative of -49*v**6/6 - 21*v**5/4 + 10*v**4 - 10*v**3/3 - 611*v. Factor i(t).
-5*t*(t + 1)*(7*t - 2)**2
Let f(b) be the first derivative of 3*b**3/2 - 51*b**2/8 - 9*b/4 + 250. Factor f(a).
3*(a - 3)*(6*a + 1)/4
Let m(r) = 111*r**2 - 17783*r + 48. Let s(j) = 41*j**2 - 5928*j + 18. Let k(z) = 3*m(z) - 8*s(z). Factor k(y).
5*y*(y - 1185)
Let q(l) = -2159*l + 27. Let v be q(-15). Let t = v - 420906/13. Let -60/13*g + t + 2/13*g**2 = 0. What is g?
15
Suppose -3022 = -350*y - 584*y - 220. What is m in -4/3*m + 4/3 - m**2 + 2/3*m**y + 1/3*m**4 = 0?
-2, 1
Suppose 2*l = 7*l. Suppose -3*a - 3*n - 9 = 0, 4*a - 7*n = -4*n + 23. Factor l + 8*w**2 - 11*w**a - 3 + 6.
-3*(w - 1)*(w + 1)
Suppose -30*l + 17*l - 10530 = 0. Let o = -4042/5 - l. Suppose -o - 34/5*f**2 - 2*f**3 - 32/5*f = 0. What is f?
-2, -1, -2/5
Let s(p) be the second derivative of -p**4 + 1/5*p**5 - 3*p - 2*p**2 + 2*p**3 - 10. Factor s(z).
4*(z - 1)**3
Let 45*d**2 - 12*d - 50 - 902 + 378*d**3 + 1062*d**2 - 524 + 3*d**4 = 0. Calculate d.
-123, -2, 1
Let k(g) = -13*g**2 - 434*g + 435. Let v(d) = 10*d**2 + 432*d - 434. Let x(s) = 2*k(s) + 3*v(s). Factor x(f).
4*(f - 1)*(f + 108)
Suppose 2669*g**2 - 20*g - 20*g - 1336*g**2 - 1338*g**2 + 240 = 0. Calculate g.
-12, 4
Let h(f) be the second derivative of f**6/6 - 25*f**5/4 + 535*f**4/12 - 715*f**3/6 + 150*f**2 - 1141*f. Factor h(w).
5*(w - 20)*(w - 3)*(w - 1)**2
Suppose -10760 = -6*d - 2*d. Solve -693*v + 3*v**2 - 730*v + 75 + d*v = 0.
1, 25
Let x be (1*(-2)/2)/(17 - 16). Let v(n) = 4*n**5 - 12*n**4 - 20*n**3 + 4*n + 4. Let b(r) = -r**3 + r + 1. Let a(d) = x*v(d) + 4*b(d). Factor a(f).
-4*f**3*(f - 4)*(f + 1)
Find d such that -20*d - 7743*d**3 + 150*d**2 + 5*d**4 + 3888*d**3 + 3920*d**3 - 200 = 0.
-10, -2, 1
Let h(s) = s**4 - s**3 - s. Let c(p) = 2*p**4 - 4*p**3 + p**2 - 2*p. Let w = -90 + 89. Let n(q) = w*c(q) + 3*h(q). Factor n(g).
g*(g - 1)*(g + 1)**2
Solve -200 + 2*v**5 + 2062/9*v**2 - 518/9*v**4 + 1630/9*v**3 - 2576/3*v = 0 for v.
-2, -2/9, 3, 25
Let j = 355 + -352. Suppose -2*k + 10 = j*k. Factor -h**4 - 1/2*h + h**k + 0 + 1/2*h**3.
-h*(h - 1)*(h + 1)*(2*h - 1)/2
Suppose -65*x = 4 + 2 - 6. Let y(p) be the first derivative of 2/9*p**3 + x*p + 2/3*p**2 + 2. Factor y(a).
2*a*(a + 2)/3
Let i be (-26)/(-39)*(-18)/(-4). Suppose -4*b - 11 = 9, i*b = 2*l - 15. Factor 1/2*c**4 - c**3 + c - 1/2 + l*c**2.
(c - 1)**3*(c + 1)/2
Let w be (-68)/(-14) + 22/7 + -3. Factor 2 - w - 4*d**2 + 3 - 4*d**3.
-4*d**2*(d + 1)
Let c(t) be the third derivative of t**10/136080 - t**9/34020 + t**8/30240 - t**4/8 + 62*t**2. Let f(u) be the second derivative of c(u). Factor f(l).
2*l**3*(l - 1)**2/9
Let h(n) = 2*n**2. Let v(g) = -17*g**2 + g + 1. Let d(y) = 36*h(y) + 4*v(y). Let u(x) = -x**2 - x - 2. Let b(m) = 5*d(m) + 15*u(m). Solve b(s) = 0 for s.
-2, 1
Let g(v) be the second derivative of 3*v**5/140 + 95*v**4/14 + 374*v**3/7 + 1116*v**2/7 - 4724*v. Suppose g(o) = 0. What is o?
-186, -2
Let -7*j**2 + j**2 - 13*j + 102*j**4 + 44 + 10*j - 100*j**4 - 59*j + 22*j**3 = 0. What is j?
-11, -2, 1
Let n(d) be the second derivative of -5*d**7/126 - 37*d**6/90 - 37*d**5/30 - d**4/9 + 44*d**3/9 + 16*d**2/3 - 22*d - 9. Suppose n(r) = 0. Calculate r.
-4, -2, -2/5, 1
Find l, given that -1/5 + 3/5*l + 1/5*l**2 - 3/5*l**3 = 0.
-1, 1/3, 1
Let s(x) be the second derivative of -x**4/30 - 69*x**3/5 + 418*x**2/5 + 9*x - 44. Factor s(k).
-2*(k - 2)*(k + 209)/5
Suppose 0 = -28*t - 14*t + 15*t + 81. Let f(z) be the first derivative of -16/5*z + 2/15*z**t + 2/5*z**2 + 29. Factor f(v).
2*(v - 2)*(v + 4)/5
Let g = -583/108 - -166/27. What is a in -1/2*a + 0 - g*a**2 + 0*a**3 + 1/4*a**4 = 0?
-1, 0, 2
Let a(w) be the third derivative of w**5/45 + 7*w**4/3 + 160*w**3/9 - 13*w**2 + 26*w. Factor a(q).
4*(q + 2)*(q + 40)/3
Let q(x) = x**2 - 4*x - 7. Let n be q(5). Let a be (-13)/26 - 1/n. Suppose -18*m**3 + 69*m + 6*m**3 - 36 + a*m**2 + 9*m**3 - 30*m**2 = 0. Calculate m.
-12, 1
Let k = -814493/2 - -407274. Let -2 - 27/2*z**4 - 53/2*z**2 - 5/2*z**5 - k*z**3 - 12*z = 0. What is z?
-2, -1, -2/5
Let d(p) be the third derivative of 3*p**5/10 - 9*p**4/16 + p**3/6 - 3422*p**2. Find h, given that d(h) = 0.
1/12, 2/3
Let l be 3/12*6*6 + (11718/(-98))/31. Let 2/7*d**2 + l + 18/7*d = 0. What is d?
-6, -3
Let t(l) = -6*l + 87. Let g be t(14). Factor -19*d**2 + 4*d + 2*d - 19*d**4 - 6*d**2 - 42*d**g + 8*d**4.
-d*(d + 1)*(d + 3)*(11*d - 2)
Let s be (-992)/(-128) + (-299)/52. Let 0 - 1/3*a**s + 8/3*a = 0. What is a?
0, 8
Let f(d) be the third derivative of -d**7/210 + 3*d**6/40 + d**5/4 - 161*d**4/24 - 49*d**3 + 3*d**2 + 4*d + 26. Determine w, given that f(w) = 0.
-3, -2, 7
Find i such that 127840432680 + 9817707*i - 22911841*i - 117089606*i - 7*i**3 + 44190*i**2 + 2*i**3 = 0.
2946
Let k(p) = -5*p**2 - 1092*p - 43245. Let n(w) = 20*w**2 + 4395*w + 172980. Let s(m) = -25*k(m) - 6*n(m). Factor s(h).
5*(h + 93)**2
Let b(o) be the first derivative of -2/7*o**2 + 1/21*o**4 + 2/21*o**3 - 11 - 1/35*o**5 + 11*o. Let c(v) be the first derivative of b(v). Factor c(j).
-4*(j - 1)**2*(j + 1)/7
Suppose 2*m + 4*h - 10 = 2*h, -5 = -m + h. Factor 6 + m + 160*k**2 - 32*k**3 + 27*k**3 - 1280*k - 11.
-5*k*(k - 16)**2
Let v = -132 + 134. Suppose 0 = 4*n - 3*q - 68, 4*n + 0*q = 5*q + 60. Factor 26 - v*i**3 + 9*i - n - i**3.
-3*(i - 2)*(i + 1)**2
Suppose -4*y - 5*p = -7, -60 = -5*y - 4*p - 49. Let 417*n**4 + 500/3 - 1600*n + 4295*n**2 - 6619/3*n**y - 27*n**5 = 0. Calculate n.
2/9, 5
Let d be 11 - 10/(-30)*-21. Suppose -d*j - 2 = 5*x, -6*x + 2*x = 2*j + 4. Let 4 + 1/4*n**3 + 2*n**j + 5*n = 0. Calculate n.
-4, -2
Suppose -56*m = -5*v - 57*m + 13, 6*m + 6 = -2*v. Factor -32/3 - 22*s - 2/3*s**v - 12*s**2.
-2*(s + 1)**2*(s + 16)/3
Let j(k) = -k**4 + 2*k**3 - k + 1. Let d(m) = -2*m**4 + 411*m**3 + 801*m**2 + 316*m - 67. Let q(v) = -3*d(v) - 15*j(v). Solve q(h) = 0.
-1, 1/7, 62
Let k(t) be the third derivative of 0*t + 1/2*t**4 - 48*t**2 - 20/3*t**3 + 0 + 1/15*t**5. Find o, given that k(o) = 0.
-5, 2
Let i(u) = 12*u**2 + 31*u - 5. Let n(k) = 38*k**2 + 94*k - 16. Suppose 3*t = -5*r - 5, 10*t - 7*t - 5*r = -25. Let z(m) = t*n(m) + 16*i(m). Factor z(y).
2*y*(y + 13)
Let c(z) be the third derivative of -1/540*z**5 + 0*z + 170*z**2 + 11/18*z**4 - 242/3*z**3 - 2. Factor c(y).
-(y - 66)**2/9
Let g(k) be the second derivative of 2/3*k**2 + 10/9*k**3 - 2/21*k**7 + 0 - 151*k + 2/3*k**4 - 14/45*k**6 - 2/15*k**5. Determine f, given that g(f) = 0.
-1, -1/3, 1
Let l(c) be the first derivative of c**6/72 + 13*c**5/48 - 35*c**4/48 - 88*c**3/3 + 93. Let i(k) be the third derivative of l(k). Sol