ctor t(h).
-h**3*(h - 1)*(h + 3)
Let a be 161/(-966)*3*1*-4. Solve -3/2*f - 15/8*f**a + 0 - 3/8*f**3 = 0 for f.
-4, -1, 0
Let w(a) = 186*a + 155. Let u be w(-3). Let l = 2825/7 + u. Determine t so that l*t - 2/7*t**4 + 0 - 10/7*t**3 + 2/7*t**2 + 6/7*t**5 = 0.
-1, -2/3, 0, 1
Let i(s) be the first derivative of -1/4*s**4 + 0*s**2 + 181 + 4/15*s**3 + 1/25*s**5 + 0*s. Find d, given that i(d) = 0.
0, 1, 4
Let o(p) be the second derivative of p**6/360 - p**5/15 - 29*p**3/6 + 3*p. Let m(t) be the second derivative of o(t). What is u in m(u) = 0?
0, 8
Factor -13/5*c**4 - 16/5 - 1/5*c**5 - 58/5*c - 79/5*c**2 - 49/5*c**3.
-(c + 1)**3*(c + 2)*(c + 8)/5
Suppose 14*a - 6 = 5*j + 16*a, 4*j = a - 10. Let u be j - ((-68)/16)/((-49)/(-28)). Solve -u*f**4 + 3/7*f**3 + 9/7*f**2 - 3/7*f - 6/7 = 0 for f.
-1, 1, 2
Let h(q) be the first derivative of q**3/3 - 98*q**2 - 597*q - 3854. Find g, given that h(g) = 0.
-3, 199
Let h(p) be the second derivative of p**5/4 - 145*p**4/6 + 1600*p**3/3 + 15360*p**2 + 477*p. Factor h(f).
5*(f - 32)**2*(f + 6)
Suppose -17*q = 24*q - 49*q + 32. Let i(u) = 5*u**2 + 5*u - 5. Let z be i(5). Find r, given that 70*r**4 + 40*r + 71*r**q - 32 - 16*r**3 - z*r**4 + 12*r**2 = 0.
-4, -2, 1
Let k(z) be the first derivative of 5*z**4/22 - 938*z**3/11 + 98559*z**2/11 + 119286*z/11 - 876. Factor k(d).
2*(d - 141)**2*(5*d + 3)/11
Let j(h) = -h**3 + 67*h**2 + 8*h - 276. Let x(u) = 66*u**2 + 6*u - 276. Let c(q) = 3*j(q) - 2*x(q). Factor c(t).
-3*(t - 23)*(t - 2)*(t + 2)
Find k such that 5*k**2 + 1/4*k**3 + 16 + 17*k = 0.
-16, -2
Let n(p) be the third derivative of 76 + 1/330*p**5 + 2/33*p**4 + 2*p**2 + 0*p + 0*p**3. Suppose n(v) = 0. What is v?
-8, 0
Let b(t) be the first derivative of t**4/10 + 42*t**3/5 + 111*t**2 + 530*t - 4191. Factor b(n).
2*(n + 5)**2*(n + 53)/5
Find t such that 8/7 + 320/7*t - 162/7*t**2 = 0.
-2/81, 2
Let x(q) be the first derivative of 3*q**5/10 - 3*q**4/4 - 40*q**3 - 6284. Factor x(l).
3*l**2*(l - 10)*(l + 8)/2
Let g be -123*(-9)/1386*-22 + 18. Factor 72/7*p + g*p**3 - 60/7 - 27/7*p**2.
3*(p - 5)*(p - 2)**2/7
Let m = 239 - -153. Let b = 1178/3 - m. Factor 0*h**2 + b*h - 2/3*h**3 + 0.
-2*h*(h - 1)*(h + 1)/3
Suppose 4*b - 60 = -6*b. Factor -37268*y**2 + 5*y + 2*y + b + 37269*y**2.
(y + 1)*(y + 6)
Let j = 6743/17070 + 17/3414. Solve 0 + 32/5*d + j*d**2 = 0 for d.
-16, 0
Suppose -5*u = -o - 0*o - 125, 4*u = 12. Let c = o - -113. What is y in 3/2*y + 3/2*y**2 - c = 0?
-2, 1
Let x = -48111/5 - -527584/45. Let i = 2103 - x. Let -i*m + 0 + 4/3*m**2 - 2/9*m**3 = 0. Calculate m.
0, 1, 5
Let n be 2 + (-4 - -4)*1. Suppose 0*c = -q + 4*c + n, 10 = 5*q + 2*c. Factor 4*u**2 + q*u + 2*u**3 - 232 + 232.
2*u*(u + 1)**2
Let n = 1214 + -1221. Let p be -1*(-10 - -24)/n. Determine w so that -3/5*w**3 + 3/5*w - 18/5*w**p + 18/5 = 0.
-6, -1, 1
Let w(d) be the first derivative of 313 - 64*d - 40*d**2 + 2/5*d**5 + d**4 - 8*d**3. Suppose w(n) = 0. Calculate n.
-2, 4
Suppose -3*b = 39, 2*b = 5*f - 171 + 105. Factor -f*i**2 + 4*i**3 + 32/7*i - 4/7*i**4 + 0.
-4*i*(i - 4)*(i - 2)*(i - 1)/7
Let s(f) be the first derivative of -2*f**5/5 - f**4 + 38*f**3/3 + 32*f**2 - 96*f + 1476. Determine h, given that s(h) = 0.
-4, -3, 1, 4
Let b(p) be the second derivative of 0*p**2 + 2/57*p**3 + 4*p - 1/190*p**5 + 1/114*p**4 - 2. Factor b(f).
-2*f*(f - 2)*(f + 1)/19
Let t = 811/492 + 3/164. Let c = t + -35/39. Factor 12/13 + c*d + 2/13*d**2.
2*(d + 2)*(d + 3)/13
Suppose 2*o = 5*x + 2987, -2*o + 2*x + 3516 - 532 = 0. Determine h, given that 1476*h**3 - 25*h - 4 + 4 - 45*h**2 + 5*h**4 - o*h**3 = 0.
-1, 0, 5
Suppose 1271*s - 298 = 965 + 1279. Factor 1/2*g**s + 23 - 47/2*g.
(g - 46)*(g - 1)/2
Let y(c) = -8*c**3 + 335*c**2 + 764*c + 169. Let i(l) = 24*l**3 - 1008*l**2 - 2290*l - 506. Let q(x) = 3*i(x) + 10*y(x). Factor q(j).
-2*(j - 43)*(j + 2)*(4*j + 1)
Let d = -2172 - -2174. Let c(i) be the third derivative of 0*i + 13/132*i**4 + 0 - 13/330*i**5 - 17*i**d - 1/11*i**3 + 1/220*i**6. Find x such that c(x) = 0.
1/3, 1, 3
Suppose -14*i + 186 + 327 = -467. Let w(b) be the first derivative of -i*b**2 + 980*b + 5/3*b**3 + 3. Factor w(t).
5*(t - 14)**2
Let b(p) = 10*p**3 + 516*p**2 - 310*p - 204. Let x(o) = o**2. Let u(w) = b(w) - 12*x(w). What is z in u(z) = 0?
-51, -2/5, 1
Let g(o) = 2*o + 26. Let l be g(-13). Let z be 40*(1 + 1) + l + 0. Factor 12*j + 68 - 2*j**2 - j**2 - z.
-3*(j - 2)**2
Suppose 4*j - 2*s = -0*s + 734, 2*j + 4*s = 352. Find x such that 2*x**2 - 146*x - 6*x**2 + j*x = 0.
0, 9
Suppose -5318 = 25*p - 17493. Let o = 489 - p. Suppose -88/7*i**o - 16/7*i**5 - 68/7*i**4 - 4/7 - 16*i**3 - 32/7*i = 0. What is i?
-1, -1/4
Let p(n) be the first derivative of -n**6/3 - 93*n**5/5 - 316*n**4 - 1379*n**3 - 882*n**2 + 1268. Solve p(h) = 0.
-21, -4, -1/2, 0
Let r(v) be the first derivative of v**8/840 - v**7/105 + v**6/36 - v**5/30 - 2*v**3/3 - 3*v**2/2 - 74. Let u(x) be the third derivative of r(x). Factor u(y).
2*y*(y - 2)*(y - 1)**2
Let n = -12 + 13. Let g be 0 + (-12)/(-2) + (n - 4). Solve g*x**3 + 9 + 7 - 21*x + 6*x**2 - 4 = 0.
-4, 1
Let d(m) = -5*m**2 + 11*m + 6. Let c(o) = 7*o**2 - 11*o - 8. Let h(p) = -9*c(p) - 12*d(p). Determine z so that h(z) = 0.
-11, 0
Let z(c) be the third derivative of -c**4/24 - 19*c**2. Let d be z(0). Find b such that b + 4*b**3 + d*b - 9*b - 22*b**3 - 24*b**2 = 0.
-2/3, 0
Suppose 5*j = -257 + 7. Let i = 52 + j. Solve -3*q**3 + 13*q**i + 3*q**4 + 5*q**2 + 15*q - 6 - 27*q**2 = 0 for q.
-2, 1
Let p(s) = -s**3 - 3*s**2 + 2*s - 3. Let f be p(-4). Factor 14 + f*n**2 + 40*n - 2*n**2 - 24*n - n**2.
2*(n + 1)*(n + 7)
Let i(t) be the third derivative of t**6/420 - 2*t**5/35 + 11*t**4/84 - 66*t**2 - 2. Determine w so that i(w) = 0.
0, 1, 11
Let w(z) be the first derivative of -9*z**5/5 - 69*z**4/4 - 50*z**3 - 36*z**2 - 4172. Solve w(j) = 0 for j.
-4, -3, -2/3, 0
Let b(x) = 4*x**2 - 8*x - 12. Let a be b(5). Let t = 51 - a. Determine i, given that -2*i**t - 3*i**3 - 3*i - 6*i + 10*i**2 + 4*i = 0.
0, 1
Let f = 171217 - 342425/2. Find o, given that -f - 11/4*o - 1/4*o**2 = 0.
-9, -2
Suppose 0 = 3*d - 3*g - 3, -120*g = -125*g + 10. Let t(a) be the second derivative of 0 + 1/30*a**4 + 7*a + 2/5*a**d + 8/5*a**2. Factor t(i).
2*(i + 2)*(i + 4)/5
Suppose -192*a = -181*a - 22. Let h(t) be the second derivative of -3*t**4 - 13*t - 14*t**a - 1/5*t**5 - 10*t**3 + 0. Factor h(g).
-4*(g + 1)**2*(g + 7)
Let s(p) = p**3 - 4*p**2 + 53*p + 172. Let v be s(-3). Let g be (v/45)/(-10*(-1)/(-24)). Suppose 4*o**2 + g + 6*o + 2/3*o**3 = 0. Calculate o.
-4, -1
Suppose -4 = -3*q - q, -3*q = 5*t - 18. Factor -22*l**3 + 37*l**3 + 8*l**2 + l - 5*l - 19*l**t.
-4*l*(l - 1)**2
Let a(t) = 5*t**2 + 54*t - 140. Let j(u) be the first derivative of 5*u**3 + 82*u**2 - 420*u + 89. Let f(h) = 8*a(h) - 3*j(h). Factor f(w).
-5*(w - 2)*(w + 14)
Let n(h) = h**3 - h**2 + h - 2. Let w(r) = -7*r**3 - 548*r**2 - 6*r + 12. Let m(b) = 6*n(b) + w(b). Factor m(c).
-c**2*(c + 554)
Suppose -r + 716 = 4*n, 3*r - 2*r = 5*n + 689. Factor -9*d**2 + 0*d + 15*d**3 + r*d**4 - 707*d**4 + 12 - 15*d.
-3*(d - 4)*(d - 1)**2*(d + 1)
Let n(s) be the second derivative of -s**7/42 - 2*s**6/15 - s**5/4 - s**4/6 - 587*s. What is c in n(c) = 0?
-2, -1, 0
Let t be (-46)/(-10) - (-16)/40. Suppose 18 = t*c - 2. Factor 125 + 5*b**2 + c*b + 7*b + 48*b - 9*b.
5*(b + 5)**2
Suppose 87 = -t + 89. Determine l so that 690*l**2 - 1884*l**t - 96*l + 960*l**2 + 384 - 51*l**3 - 3*l**4 = 0.
-8, -2, 1
Let i(n) = 5*n**4 - 30*n**3 - 35*n**2 + 20. Let y = -54 - -55. Let a(k) = 2*k**2 + 17*k - 3*k**2 + y - k**3 - 17*k. Let t(z) = 20*a(z) - i(z). Factor t(l).
-5*l**2*(l - 3)*(l + 1)
Let x(i) = -i**2 + 33*i + 24. Let n be x(32). Factor -2*a**4 + 0*a**4 + 28*a**3 - 42*a**2 + 0*a**4 - n*a**2.
-2*a**2*(a - 7)**2
Suppose 216*d = 221*d. Factor d*z**3 - 108*z**2 - 2*z**3 - 11664 - 1674*z + 253*z - 523*z.
-2*(z + 18)**3
Let g = -7381/8 + 924. Suppose -2*l - 3*o + 14 = 19, -o = -4*l + 11. Solve -3/4*n**l - 1/8*n**3 - g*n - 3/4 = 0.
-3, -2, -1
Let k(w) be the first derivative of 125 - 2312*w - 34*w**2 - 1/6*w**3. Find v such that k(v) = 0.
-68
Let l(w) be the first derivative of w**6/180 - w**5/30 - 52*w**3 - 84. Let p(s) be the third derivative of l(s). Factor p(d).
2*d*(d - 2)
Let q(k) be the third derivative of k**5/30 - 725*k**4/3 + 2102500*k**3/3 + 