**3*(2*n + 1)
Let q(d) be the first derivative of 25 - d - 1/33*d**3 - 1/110*d**5 - 6/11*d**2 + 2/33*d**4. Let j(z) be the first derivative of q(z). Factor j(p).
-2*(p - 3)*(p - 2)*(p + 1)/11
Let j(h) be the first derivative of -10/7*h**3 + 6/35*h**5 + 4/7*h**2 - 28 + 24/7*h + 1/21*h**6 - 5/14*h**4. Let j(z) = 0. Calculate z.
-3, -2, -1, 1, 2
Let t(r) = -r**3 + 129*r**2 + 264*r - 260. Let l be t(131). Let c(n) be the first derivative of -n - 1/4*n**4 - 2 - 3/2*n**l - n**3. Find j such that c(j) = 0.
-1
Let b(v) be the first derivative of 36*v**4 + 32/3*v**3 + 0*v + 24 + 0*v**2 + 24*v**5 + 14/3*v**6. Find x such that b(x) = 0.
-2, -2/7, 0
Let w(n) be the first derivative of n**6/1980 + 5*n**5/66 + 625*n**4/132 - 40*n**3 + 117. Let c(p) be the third derivative of w(p). Factor c(h).
2*(h + 25)**2/11
Suppose s + 0*s = 3. Let d = 3993 + -3989. Factor v**s + d*v + 0*v - 2*v - 3*v**3.
-2*v*(v - 1)*(v + 1)
Let u(o) be the first derivative of -o**5/180 + o**4/18 - o**3/6 + 2*o**2/9 + 53*o - 10. Let j(c) be the first derivative of u(c). Find n such that j(n) = 0.
1, 4
Suppose 4*s + 1469 + 2383 = 0. Let n be (s/6 + 2)*(0 + -2). Let -2*g**4 - 2*g**2 - 317*g + n*g + 4*g**3 = 0. What is g?
0, 1
Let o(q) be the third derivative of q**6/1320 + 13*q**5/220 - 23*q**4/33 - 86*q**3/11 - 6314*q**2. Factor o(w).
(w - 6)*(w + 2)*(w + 43)/11
Let x(f) be the third derivative of -f**5/120 - 193*f**4/24 - 37249*f**3/12 - 199*f**2. Factor x(n).
-(n + 193)**2/2
Let k(g) = 2*g**2 - 7*g - 6. Let o(v) = v**2 - 5*v + 2. Let z(m) = 5*k(m) - 15*o(m). Factor z(n).
-5*(n - 6)*(n - 2)
Let q(n) be the third derivative of -3*n**2 + 0*n**4 + 0 - 1/210*n**5 + 2*n + 3/7*n**3. Factor q(g).
-2*(g - 3)*(g + 3)/7
Let p(a) be the second derivative of 0*a**5 - 4/3*a**3 + 11*a - 17/15*a**6 - 7 + 17/6*a**4 + 0*a**2 + 4/21*a**7. Determine y, given that p(y) = 0.
-1, 0, 1/4, 1, 4
Factor 117/7 + 1/7*q**4 + 74/7*q**2 + 212/7*q - 20/7*q**3.
(q - 13)*(q - 9)*(q + 1)**2/7
Let l(u) be the second derivative of -u**6/75 + 29*u**5/50 - 89*u**4/30 - 269*u**3/15 - 30*u**2 + 215*u + 8. Suppose l(n) = 0. What is n?
-1, 6, 25
Let c(t) be the second derivative of 0 - 1/72*t**4 + 88*t + 1/2*t**3 + 19/12*t**2. Find j such that c(j) = 0.
-1, 19
Find y, given that 95/4*y + 1/4*y**2 + 0 = 0.
-95, 0
Suppose 123*x + 907*x + 27*x**3 + 925*x**2 + 88*x**3 + 295*x + 460*x**2 + 55 = 0. What is x?
-11, -1, -1/23
Let m = -636 - -639. Solve 14 - 13 - 6*r - 5*r**2 - 1 + r**m = 0.
-1, 0, 6
Let a be (-78)/(-19) + (-1 - (-153)/171). Let m be ((a - 7) + 7)/(20/6). Factor -8/5*w**3 + 4/5 + 0*w**4 + 2/5*w**5 - 4/5*w**2 + m*w.
2*(w - 2)*(w - 1)*(w + 1)**3/5
Let i(n) = n**3 + 1. Suppose 11*q + 252 = -232. Let l(g) = -18*g**5 + 60*g**4 - 48*g**3 - 40*g**2 - 8*g - 22. Let k(f) = q*i(f) - 2*l(f). Solve k(d) = 0 for d.
-1/3, 0, 2
Suppose 5*p - 48 = -2*m - 0, -2*p = 4*m - 128. Let m*v**2 - v**4 - 2*v**2 - 6*v - 28*v**3 - 47*v**4 + 18*v**5 = 0. What is v?
-1, 0, 1/3, 3
Let y(a) = 4*a**2 - 3*a - 1. Let r be y(2). Suppose 6*k + 540 = r*k. Let 69*x**2 + 1225*x**5 - 174*x**2 + 210*x**4 + 65*x**2 - k*x**3 = 0. What is x?
-2/7, 0, 2/5
Let s(x) be the second derivative of 5*x**4/12 + 70*x**3/3 + 375*x**2/2 + 143*x - 4. Solve s(k) = 0.
-25, -3
Let v(x) be the second derivative of 12*x**2 + 7*x**3 + 0 + 28*x + 3/20*x**5 + 7/4*x**4. Solve v(z) = 0.
-4, -2, -1
Let h(c) = -69*c - 411. Let p be h(-6). Let l(z) be the third derivative of -24*z**2 + 7/30*z**5 - 1/6*z**4 + 0*z + 0*z**p + 0. Solve l(v) = 0.
0, 2/7
Let y(l) = l**2 + l. Let w(m) = -m**2 + 2*m**2 - m + 4*m. Let p = 4419 + -4416. Let b(n) = p*w(n) - 5*y(n). Factor b(h).
-2*h*(h - 2)
Let w(l) = 2*l**3 + 4*l**2 - 245*l + 53. Let z be w(10). What is i in 22/7*i**2 + 16/7*i + 2/7 - 40/7*i**z = 0?
-1/4, -1/5, 1
Let k = -35/1836 + 4319/1836. Let -6*s - k*s**3 + 11*s**2 - 8/3 = 0. What is s?
-2/7, 1, 4
Let u(t) be the third derivative of -t**6/720 - 103*t**5/120 - 10609*t**4/48 - 1092727*t**3/36 - 14*t**2 + 19*t. Factor u(n).
-(n + 103)**3/6
Let k(s) be the first derivative of 2/3*s**2 + 0*s + 48 + 1/6*s**4 - 2/3*s**3. Solve k(z) = 0 for z.
0, 1, 2
Suppose 0 = 9*y + 11*y - 40. Let -2*s - 15 - 5 - 4 - 19*s**y + 21*s**2 = 0. What is s?
-3, 4
Let n be (4 - -2)/(31/(372/123) + 14/(-4)). Find j, given that -4/9 + 4/9*j**4 + 0*j**2 - 8/9*j + n*j**3 = 0.
-1, 1
Factor -122*a + 3*a**4 - 75 + 53*a - 9*a + 72*a**2 + 78*a**3.
3*(a - 1)*(a + 1)**2*(a + 25)
Let t(n) be the second derivative of 2*n**6/3 + 54*n**5/5 - 71*n**4/3 + 8*n**3 - 4594*n. Solve t(j) = 0 for j.
-12, 0, 1/5, 1
Let t(m) be the first derivative of 4*m**2 + 1/2*m**4 - 56 + 8/3*m**3 + 0*m. Factor t(l).
2*l*(l + 2)**2
Let j(c) be the third derivative of c**7/1260 + c**6/45 - 59*c**4/24 + 39*c**2. Let l(q) be the second derivative of j(q). Factor l(r).
2*r*(r + 8)
Let f(j) be the second derivative of -35*j**4/12 + 5855*j**3/6 - 835*j**2 + 20*j - 29. Solve f(i) = 0.
2/7, 167
Let i(o) be the third derivative of -o**6/30 + 1511*o**5/15 - 95004*o**4 - 381024*o**3 + 642*o**2. Factor i(f).
-4*(f - 756)**2*(f + 1)
Let k(m) be the third derivative of 2*m**7/735 - m**6/210 - 4*m**5/105 + 2*m**4/21 + 551*m**2 + 2. Find t, given that k(t) = 0.
-2, 0, 1, 2
What is d in 280/9*d - 94/9 + 2/3*d**2 = 0?
-47, 1/3
Let u(v) be the first derivative of -81*v**4/7 + 59352*v**3/7 + 5656*v**2 + 8800*v/7 + 2122. Solve u(n) = 0.
-2/9, 550
Let 116793*v + v**3 + 684*v**2 + 11852352 - 24105*v + 63264*v = 0. Calculate v.
-228
Let o(m) = m**2 - 139*m + 542. Let r be o(4). Factor -2/5*p**r + 8/5*p - 8/5.
-2*(p - 2)**2/5
Let q be (-9)/(-9) + (-1)/(-2)*1. Suppose 306 = 123*c - 144*c + 327*c. Solve -q*t - c - 1/2*t**2 = 0.
-2, -1
Let c(n) be the first derivative of n**4/14 + 136*n**3/21 + 19*n**2 + 132*n/7 + 277. Determine j so that c(j) = 0.
-66, -1
Suppose 2*z = 5*m - 25, -3*z + 1082*m + 1 = 1080*m. Factor 0*r + 0 + r**4 + 3/4*r**3 + 0*r**2 + 1/4*r**z.
r**3*(r + 1)*(r + 3)/4
Let b(o) be the first derivative of -121 + 1/2*o - 57/8*o**2 - 59/12*o**3. Suppose b(u) = 0. What is u?
-1, 2/59
Let m = -71 + 123. Let p(d) = 5*d**2 + 2*d - 6. Let k(c) = -44*c**2 - 16*c + 54. Let g(a) = m*p(a) + 6*k(a). Solve g(u) = 0.
-1, 3
Determine o, given that -432/7*o**2 + 0 + 40/7*o**4 + 36/7*o**3 - 432/7*o + 4/7*o**5 = 0.
-6, -1, 0, 3
Let m(l) be the first derivative of -12 + 0*l**2 + 0*l**3 + 1/105*l**6 - 5*l + 0*l**5 - 1/42*l**4. Let t(w) be the first derivative of m(w). Factor t(g).
2*g**2*(g - 1)*(g + 1)/7
Let q(y) be the first derivative of 225/4*y**5 + 10*y**2 + 275/4*y**4 - 5 - 140/3*y**3 + 6*y. Let o(k) be the first derivative of q(k). Let o(r) = 0. What is r?
-1, 2/15
Suppose 8*r - 7*r - 4 = 2*d, 2*r + 4*d = 0. Let q(h) be the first derivative of 8*h**3 + 13 + 2/5*h**5 - 8*h**r - 3*h**4 + 0*h. Factor q(s).
2*s*(s - 2)**3
Let k(z) be the first derivative of -1/12*z**4 - 1/6*z**3 - 17 - 2*z + 0*z**2. Let g(q) be the first derivative of k(q). Determine m, given that g(m) = 0.
-1, 0
Factor 1/8*l**4 + 4899/4*l**2 - 1300*l + 199/8*l**3 - 2500.
(l - 2)*(l + 1)*(l + 100)**2/8
Let w(d) be the second derivative of -2/75*d**6 + d - 1/25*d**5 - 7/15*d**3 + 2/5*d**2 + 1/105*d**7 + 4/15*d**4 - 34. Suppose w(a) = 0. Calculate a.
-2, 1
Let q(k) = k**3 - 15*k**2 + 37*k + 133. Let i be q(7). Solve -1/3*f**2 + 1/3*f**4 + i - 1/3*f**3 + 1/3*f = 0 for f.
-1, 0, 1
Let t be (27 - 78)/(-153)*0. Suppose t + 4/3*r**4 + 0*r - 4*r**3 + 8/3*r**2 = 0. Calculate r.
0, 1, 2
What is o in 65*o**3 - 511*o**2 - 2202*o + 1572*o + 1076*o**2 = 0?
-126/13, 0, 1
Suppose 1 = 4*m - g - 10, 0 = 5*m + 4*g + 2. Factor -24937 - 23731 - 9911*j + 3*j**3 - 276*j**m - 7*j**3 + 3563*j.
-4*(j + 23)**3
Let q(o) be the first derivative of 6/13*o**5 + 40/13*o**4 + 1/39*o**6 + 240/13*o**2 - 43 + 224/13*o + 400/39*o**3. Suppose q(p) = 0. What is p?
-7, -2
Let f = 64 - 0. Determine y so that 21*y + 65*y**4 + f*y**4 + 9*y - 32*y**3 + 27 + 2*y**3 - 132*y**4 - 24*y**2 = 0.
-9, -1, 1
Suppose -9*a = 6*a + 4515. Let m = a + 304. Factor 0 - 1/5*o**m + 3/5*o + 2/5*o**2.
-o*(o - 3)*(o + 1)/5
Factor -1/5*s**2 + 18/5*s - 77/5.
-(s - 11)*(s - 7)/5
Determine u, given that 5/6*u**2 + 670/3 + 1345/6*u = 0.
-268, -1
Let x(y) = 3*y**2 + y + 1. Let u(a) = -13*a**2 - 12*a + 59. Let c(q) = -u(q) - 4*x(q). Let d be c(5). Factor 0 - 2*r + 1/2*r**3 + 0*r**d.
r*(r - 2)