 Let m(j) be the third derivative of h(j). Factor m(s).
3*s*(s - 1)*(s + 2)
Let n be 283/84 + 2/(-7) + -3. Let g(b) be the first derivative of -1/4*b**2 - 3 - n*b**3 + 0*b. Factor g(t).
-t*(t + 2)/4
Let h(g) be the first derivative of -g**7/1260 + g**5/180 + g**3/3 - 4. Let f(n) be the third derivative of h(n). Factor f(z).
-2*z*(z - 1)*(z + 1)/3
Let f(w) be the first derivative of w**5/5 + 37*w**4/2 + 600*w**3 + 6875*w**2 - 15625*w + 122. Find g such that f(g) = 0.
-25, 1
Let s(j) = -j**2 + 5*j + 18. Let h be s(7). Let f(w) be the third derivative of -1/8*w**h + 1/20*w**5 + 0*w**3 - 5*w**2 + 0*w + 0. Factor f(i).
3*i*(i - 1)
Let m(z) be the first derivative of z**4/2 - 62*z**3/3 + 187*z**2 + 1734*z - 269. Let m(f) = 0. What is f?
-3, 17
Let -15/4*q**2 + 3/4*q**4 + 3 + q + 1/4*q**5 - 5/4*q**3 = 0. What is q?
-3, -2, -1, 1, 2
Let k = 37 + -32. Factor -5 - 10*d + 43*d - k*d**2 - 23*d.
-5*(d - 1)**2
Let 31/3*f**4 + 0 + 64/3*f**3 + 44/3*f**2 + 5/3*f**5 + 0*f = 0. Calculate f.
-11/5, -2, 0
Determine x, given that 140*x - 6751 - 3907 - 1007*x**2 + 1005*x**2 + 152*x = 0.
73
Let p(d) be the third derivative of -d**6/72 - d**5/36 + 5*d**4/8 + 5*d**3/2 + 19*d**2 - 2*d. Find l, given that p(l) = 0.
-3, -1, 3
Let f(u) be the first derivative of -4*u**3/5 - 231*u**2/10 - 57*u/5 + 124. Factor f(k).
-3*(k + 19)*(4*k + 1)/5
Suppose -x + 5*x = 4*x - 2*x. Factor x*n + 3/7*n**2 - 3/7.
3*(n - 1)*(n + 1)/7
Let q be (-69)/(-46)*(-4 - -1)/(-360). Let i(w) be the second derivative of q*w**5 + 5*w + 0 + 1/8*w**4 + 3/8*w**3 + 0*w**2. Factor i(l).
l*(l + 3)**2/4
Let x(k) be the first derivative of 40*k + 70/3*k**3 + 95/2*k**2 - 27 + 15/4*k**4. Let x(j) = 0. Calculate j.
-8/3, -1
Let c be (-2)/(-6)*135/90. Let x(t) be the first derivative of -1 - 1/12*t**3 - c*t + 3/8*t**2. Solve x(b) = 0 for b.
1, 2
Let g(m) = -2*m**2 + 8*m + 3. Let o be g(4). Solve 8*w + w**3 - 5*w + 3*w**2 - 5*w - 2*w**o = 0.
0, 1, 2
Let f(c) = -2*c**2 - c - 1. Let d(p) = -3*p**2 + 3*p + 4. Let z(u) = d(u) - 2*f(u). Suppose z(j) = 0. Calculate j.
-3, -2
Let f = 37 - 20. Let z = f + -13. Let 17*n**3 - 4*n**5 + 4*n**4 - 77*n**3 - 22*n**z - 10*n**4 - 36*n**2 = 0. What is n?
-3, -1, 0
Suppose 3*r = 4 + 5. Suppose -2*q + 5*q - 7*q**r + 18*q**3 - 14*q**3 = 0. Calculate q.
-1, 0, 1
Let w be -4*2 + -59 + 72. Let v(s) be the third derivative of -5*s**2 + 0*s - 1/96*s**4 + 0 + 1/120*s**w - 1/24*s**3. What is b in v(b) = 0?
-1/2, 1
Let v(d) = 13*d**4 - 20*d**3 - 7*d**2 + 10*d. Let b(t) = -8*t**4 + 13*t**3 + 5*t**2 - 6*t. Let p(g) = 8*b(g) + 5*v(g). What is w in p(w) = 0?
-2, -1, 0
Factor -2/9*z**3 - 8/3*z**2 - 26/3*z - 56/9.
-2*(z + 1)*(z + 4)*(z + 7)/9
Solve 45/2*o**2 - 3/4*o**4 + 42*o - 81/4*o**3 + 0 = 0 for o.
-28, -1, 0, 2
Let q(o) = o**3 + o**2 + o + 1. Let i(a) be the first derivative of -a**2 - a**3 - 1 - 3/2*a**4 - 5*a. Let s(z) = 2*i(z) + 14*q(z). Let s(g) = 0. What is g?
-2, -1
Let o = 21421/30 + -714. Let t(y) be the second derivative of 5*y - 1/9*y**4 + 1/9*y**3 + 0 + o*y**5 + 0*y**2. Find a, given that t(a) = 0.
0, 1
Let v = -2171 + 2177. Let q(b) be the first derivative of 0*b**3 + 0*b**4 + 1/9*b**v + 0*b - 5 - 2/15*b**5 + 0*b**2. Solve q(i) = 0.
0, 1
Let d(t) be the second derivative of -2*t**6/15 + t**5 - 2*t**4 - 8*t**3/3 + 16*t**2 + 23*t. Find h, given that d(h) = 0.
-1, 2
Let o(g) = 7*g - 22. Let s be o(4). Determine i so that s*i + 2*i**2 - 4 + 7*i - 11*i = 0.
-2, 1
Let z(b) be the third derivative of b**7/70 + 11*b**6/40 + 6*b**5/5 - b**4/2 - 16*b**3 + 253*b**2. Determine x, given that z(x) = 0.
-8, -2, 1
Factor 432/7*j + 3/7*j**2 + 15552/7.
3*(j + 72)**2/7
Let v(k) be the first derivative of 5*k**6/8 + 21*k**5/5 + 9*k**4 + 4*k**3 - 6*k**2 - 568. Solve v(o) = 0 for o.
-2, 0, 2/5
Let g = 285/4 + -71. Let u = 7/4 + -3/2. Determine m, given that m**3 - g*m**4 - 3/2*m**2 - u + m = 0.
1
Let a(o) be the second derivative of 0 + 10*o + 16*o**2 + 84*o**4 - 196/5*o**5 - 343/15*o**6 - 160/3*o**3. Let a(k) = 0. What is k?
-2, 2/7
Let f = -64114/3 + 21624. Let r = f + -9530/39. Factor 50/13*c**4 + 88/13*c**2 + r*c**3 + 0 + 16/13*c + 8/13*c**5.
2*c*(c + 2)**3*(4*c + 1)/13
Suppose 34 + 20 = 6*s. Determine g so that 2*g**2 + 24*g - 38*g**2 - 256*g**5 + 6*g**3 + 253*g**5 + s*g**4 = 0.
-2, 0, 1, 2
Let g = 43658/7 - 6236. Factor 0 + 5/7*p**2 - 1/7*p**3 - g*p.
-p*(p - 3)*(p - 2)/7
Let p(i) = 16*i**3 + 81*i**2 - 240*i + 100. Let a(r) = 15*r**3 + 80*r**2 - 240*r + 100. Let s(d) = -6*a(d) + 5*p(d). Let s(h) = 0. What is h?
-10, 1/2, 2
Let u(b) be the third derivative of b**7/70 - 3*b**6/40 + b**5/20 + 3*b**4/8 - b**3 - b**2 - 23. Solve u(w) = 0.
-1, 1, 2
Let s(u) be the second derivative of -u**4/20 + 9*u**3/10 - 6*u**2 - u + 246. Factor s(w).
-3*(w - 5)*(w - 4)/5
Suppose -4*q - 3 = v, -q = 4*q - 2*v - 6. Let y(o) be the third derivative of q + 1/144*o**4 + 0*o - 1/720*o**6 - 3*o**2 - 1/360*o**5 + 1/36*o**3. Factor y(g).
-(g - 1)*(g + 1)**2/6
Let y(j) = j**3 + 22*j**2 - 204*j + 11. Let i be y(7). Factor -22/5*s - 2/5*s**2 - i.
-2*(s + 1)*(s + 10)/5
Let q be 1/4 + 116/(-464). Determine k so that 0*k - 2/9*k**3 - 2/9*k**4 + 2/9*k**5 + 2/9*k**2 + q = 0.
-1, 0, 1
Let h be (-71)/(-23) + (-654)/7521. Let 3/5 - h*n**3 - 11/5*n**2 + 7/5*n = 0. Calculate n.
-1, -1/3, 3/5
Let r be ((-8)/10)/((-264)/60). Suppose 3351*b = 3345*b + 12. Factor r*u**b + 4/11*u + 2/11.
2*(u + 1)**2/11
Let v(l) = l**2 - 5*l + 9. Let w be v(5). Solve -19*s - 12*s**3 + 9*s**3 + 13*s + w*s = 0 for s.
-1, 0, 1
Let p(u) = u**2 + u - 3. Let n(r) = -3*r**2 - 25*r + 65. Let i(m) = 2*n(m) + 10*p(m). Find q such that i(q) = 0.
5
Suppose 2*o + 12 = z, 2*z - o - 21 = -0*z. Suppose -z*u + 7*u + 9 = 0. Factor v**3 + v**4 - v**3 + 2*v**4 - u*v**2.
3*v**2*(v - 1)*(v + 1)
Let m be (-11)/((-66)/7) + (-812)/840. Factor 0 + 1/5*s**2 - m*s**4 + 3/5*s - 3/5*s**3.
-s*(s - 1)*(s + 1)*(s + 3)/5
Suppose 0 = 13*q + 5 - 57. Let h(p) be the second derivative of -p + 0 + 1/5*p**q + 7/10*p**7 + 0*p**2 + 21/50*p**6 + 0*p**3 - 18/25*p**5. Factor h(o).
3*o**2*(o + 1)*(7*o - 2)**2/5
Let a(k) be the second derivative of -2*k**7/7 + 44*k**6/15 - 47*k**5/5 + 4*k**4 + 24*k**3 + 71*k. Solve a(g) = 0.
-2/3, 0, 2, 3
Let d = -35 + 77. Factor -d*o**2 + 21*o**2 + o**4 - 2*o**3 + 4 + 4*o + 18*o**2 + 0.
(o - 2)**2*(o + 1)**2
Let n(h) be the first derivative of -4*h**3/3 - 424*h**2 - 44944*h - 26. Solve n(b) = 0 for b.
-106
Let c(b) be the second derivative of 1/18*b**4 - 10*b - 5/9*b**3 + 4/3*b**2 + 0. Factor c(g).
2*(g - 4)*(g - 1)/3
Let h = -2271 - -2274. Let 4/15*t - 2/5*t**2 - 2/3*t**h + 0 = 0. What is t?
-1, 0, 2/5
Let b(i) be the second derivative of -i**7/42 - 2*i**6/5 - 47*i**5/20 - 13*i**4/3 + 8*i**3 + 32*i**2 - 17*i - 3. Solve b(l) = 0.
-4, -1, 1
Suppose 2 - 5 = -3*a, -v + 3*a - 1 = 0. Let f(m) be the first derivative of 5*m + m**5 - v - 10/3*m**3 - 5/2*m**4 + 5/2*m**2 + 5/6*m**6. Factor f(z).
5*(z - 1)**2*(z + 1)**3
Factor 224/3 + 20*s**2 + 1/3*s**3 + 76*s.
(s + 2)**2*(s + 56)/3
Let u(k) be the first derivative of 4*k**3/3 + 42*k**2 + 80*k - 80. Factor u(c).
4*(c + 1)*(c + 20)
Let d(l) be the second derivative of l**7/14 - l**6/2 + 9*l**5/20 + 9*l**4/4 - 105*l. Find a such that d(a) = 0.
-1, 0, 3
Suppose 3*f - 2*k - 36 = -0, -3*f + 5*k + 45 = 0. Suppose f*o + 8 = 8. Factor 2/11*m**2 + o*m - 2/11.
2*(m - 1)*(m + 1)/11
Let c(w) be the first derivative of w**6/21 + 2*w**5/7 + 2*w**4/7 + 185. Factor c(g).
2*g**3*(g + 1)*(g + 4)/7
Let i = 7249/5 + -1457. Let r = -139/20 - i. Factor 1/4 - 1/2*h + r*h**2.
(h - 1)**2/4
Let w = 56 - 20. Let y = w - 33. Factor -5*p - y + 15 - 10*p**2 - 7.
-5*(p + 1)*(2*p - 1)
Let r(j) = -j**2 - 2*j - 2. Let b(y) = -4*y**2 - y - 2. Let t(q) = 2*b(q) - 10*r(q). Solve t(d) = 0.
-8, -1
Let a(s) be the second derivative of 0*s**2 + 1/15*s**3 - s + 0 - 1/60*s**4. Factor a(n).
-n*(n - 2)/5
Let v(l) = 3*l**3 - 387*l**2 + 5326*l - 12686. Let o(y) = -4*y**3 + 580*y**2 - 7988*y + 19028. Let i(n) = -5*o(n) - 8*v(n). Determine p, given that i(p) = 0.
3, 23
Let t = 45548/15 + -3036. Determine o, given that -2/15*o + 2/3*o**3 + 2/5*o**2 + 0 - t*o**5 - 2/5*o**4 = 0.
-1, 0, 1/4, 1
Let x be (30/140*-4)/((-39)/28). Suppose 6*c - 2*c = 0. Factor c + 2/13*w - 10/13*w**2 + x*w**3.
2*w*(w - 1)*(4*w - 1)/13
Let u(c) = c**2 - 4*c + 5. Let t(o) = -3 + 2*o + 109*o**2 - 54*o**2 + 