*d**6 - 4*d + 1/50*d**o + 0 - 1/10*d**2 + 1/30*d**4 - 1/210*d**7. Factor r(t).
-(t - 1)**2*(t + 1)**3/5
Let z(s) be the third derivative of -3*s**6/10 + 8*s**5/5 + 11*s**4/24 - 121*s**3/6 - 207*s**2 - s. Factor z(n).
-(n + 1)*(6*n - 11)**2
Suppose -2*q - 2 = -6. Suppose -q*g = -r - 1, 0*r = -2*g - 4*r + 26. Suppose 2/7*j - 2/7 - 2/7*j**g + 2/7*j**2 = 0. What is j?
-1, 1
Determine v, given that -6*v**5 + 409 + 60*v**4 - 288*v - 25 - 25*v**4 - 117*v**3 - 30*v**3 + 46*v**4 - 906*v**2 = 0.
-2, -1, 1/2, 8
Let j(b) = 18*b - 5*b**2 - 20*b**2 - 4*b**2 - 17 + 11*b. Let q(d) = -10*d**2 + 10*d - 6. Let a(i) = 6*j(i) - 17*q(i). Let a(t) = 0. What is t?
0, 1
Find x, given that -2/7*x**4 + 0*x + 64/7*x**2 - 62/7*x**3 + 0 = 0.
-32, 0, 1
Let x(c) = 14*c**3 + 17*c**2 + 3*c + 11. Let w(z) = -5*z**3 - 6*z**2 - z - 4. Let b be 5/(-10)*(-22)/(-1). Let g(y) = b*w(y) - 4*x(y). Factor g(v).
-v*(v + 1)**2
Let o(x) be the second derivative of x**7/420 + 11*x**6/360 + x**5/10 + 7*x**4/12 - 13*x. Let z(f) be the third derivative of o(f). Factor z(q).
2*(q + 3)*(3*q + 2)
Let w(h) be the first derivative of h**4/16 + h**3/4 + 3*h**2/8 + h/4 + 367. Suppose w(z) = 0. What is z?
-1
Let g be 30/20*8/6. Suppose 5*t = -0*j - 2*j + 110, -j = -3*t + 77. Factor -31 - 2*f**g - t*f - f**2 - 17.
-3*(f + 4)**2
Suppose -3*v = -2 - 10. Suppose -21*q - 3 + 45 = 0. Solve 18*s**2 + 106*s**3 - s**v - 27 + q*s**4 - 98*s**3 = 0 for s.
-3, 1
Let j(u) be the third derivative of u**6/2160 - u**5/360 - u**4/48 + 2*u**3/3 - 21*u**2. Let p(b) be the first derivative of j(b). Factor p(r).
(r - 3)*(r + 1)/6
Let n = 731 + -731. Let b(y) be the third derivative of 0*y + 0 + 0*y**6 + 0*y**4 + n*y**3 + 1/70*y**7 - 1/20*y**5 - 6*y**2. Factor b(h).
3*h**2*(h - 1)*(h + 1)
Let u = -105 - -103. Let q = u - -10/3. Determine y so that -16/3*y**3 - q - 8*y - 12*y**2 = 0.
-1, -1/4
Let b(x) be the second derivative of 5*x**4/48 + 70*x**3/3 + 1960*x**2 - 411*x. What is h in b(h) = 0?
-56
Suppose -2246*o = -2254*o + 32. Let g = 451 - 3151/7. Solve 2*c**3 + 2*c**o + 0*c - 6/7*c**5 - g*c**2 + 0 = 0.
-1, 0, 1/3, 3
Let o(p) = 2*p**2 - 3*p. Let j be o(2). Suppose j*f + 0*w = 5*w + 20, 5*f + w - 77 = 0. Factor -3*c - 2 + 13*c**3 - 6*c**2 - f*c**3 - 3*c.
-2*(c + 1)**3
Let v(p) = -p**2 - 24*p + 55. Let a be v(2). Let k(c) be the first derivative of -1/8*c**2 + 1/2*c + 1 - 1/12*c**a. Determine d, given that k(d) = 0.
-2, 1
Let r(y) = 7*y**4 - 27*y**3 + 15*y**2 + 43*y. Let m(u) = 15*u**4 - 55*u**3 + 30*u**2 + 85*u. Let q(o) = -2*m(o) + 5*r(o). Solve q(j) = 0 for j.
-1, 0, 3
Let o be (((-1)/(-3))/(11/66))/(-2). Let j be 0/21 - (-1 + o)*1. Factor 0*t**3 + 3/7*t**4 - 9/7*t**j + 0 + 6/7*t.
3*t*(t - 1)**2*(t + 2)/7
Let r = 10634/3 + -3542. Factor r - 16/3*k + 10/3*k**3 - 14/3*k**2.
2*(k - 2)*(k + 1)*(5*k - 2)/3
Suppose 0 = 3*z - 4*w + 10, 4*z - 15 + 3 = -w. Let x be 3 + z + (-38)/14. Suppose -x*l**2 + 10/7*l - 2/7 + 8/7*l**3 = 0. Calculate l.
1/2, 1
Let 2/3*y**2 - 4*y - 182/3 = 0. Calculate y.
-7, 13
Factor 128/15 + 28/15*k**3 + 22/5*k**2 - 224/15*k + 2/15*k**4.
2*(k - 1)**2*(k + 8)**2/15
Factor 0 - 2/3*d + 1/6*d**4 + 1/2*d**3 + 0*d**2.
d*(d - 1)*(d + 2)**2/6
Let f(g) be the second derivative of g**7/42 - g**6/15 - 9*g**5/10 - 8*g**4/3 - 23*g**3/6 - 3*g**2 - 11*g + 4. Factor f(m).
(m - 6)*(m + 1)**4
Let v(t) be the first derivative of 9*t**6/5 - 192*t**5/25 + 53*t**4/6 + 4*t**3/45 - 52*t**2/15 - 16*t/15 - 109. What is j in v(j) = 0?
-2/9, 1, 2
Let w = -81 + 56. Let x = 28 + w. Determine v so that 21/4*v**4 + 81/4*v**2 - 69/4*v**x - 39/4*v + 3/2 = 0.
2/7, 1
Let r(c) be the first derivative of -8 + 0*c + 8/5*c**5 + 4*c**2 - 20/3*c**3 + c**4. Suppose r(p) = 0. Calculate p.
-2, 0, 1/2, 1
Factor -16 - 53 + 20 - 10*b**2 + 294*b - 67.
-2*(b - 29)*(5*b - 2)
Let n(l) be the first derivative of 1/6*l**3 - 1/4*l**4 + 0*l - 4 + 0*l**2 + 1/10*l**5. Factor n(b).
b**2*(b - 1)**2/2
Let i(q) be the third derivative of -q**5/12 - 45*q**4 - 9720*q**3 + 3*q**2 + 19. Factor i(k).
-5*(k + 108)**2
Suppose 50 + 2 = -13*f. Let k be (33/(-231))/(f/14). Factor -1/6*w**5 + 1/6*w**2 + 0*w + k*w**4 + 0 - 1/2*w**3.
-w**2*(w - 1)**3/6
Let j(q) be the first derivative of -7*q**6/30 - 9*q**5/20 + q**4 + 2*q**3/3 - 23*q - 32. Let i(m) be the first derivative of j(m). Factor i(c).
-c*(c - 1)*(c + 2)*(7*c + 2)
Let i(v) be the third derivative of -v**6/24 - 5*v**5/4 - 35*v**4/12 + 16*v**2. Solve i(x) = 0 for x.
-14, -1, 0
Factor 18*f**4 + 18*f**4 - 33*f**4 + 338*f + 390*f**2 + 80*f**3 + 169*f**2.
f*(f + 13)**2*(3*f + 2)
Let t(l) = 12*l**3 - 20*l**2 + 2*l + 22. Suppose 0 = -w + 2 - 0. Let x(a) = a**3 + a + 0*a - 3 + 4 - w*a. Let y(n) = t(n) - 6*x(n). Factor y(h).
2*(h - 2)**2*(3*h + 2)
Let d(u) be the second derivative of 5/24*u**4 - 5/6*u**3 - 5/84*u**7 + 0*u**2 - 1/12*u**6 + 3/8*u**5 + 11*u + 0. Let d(q) = 0. Calculate q.
-2, -1, 0, 1
Let b(d) be the second derivative of 27/2*d**2 + 3*d - 15/2*d**3 - 3/20*d**5 + 0 + 7/4*d**4. Factor b(v).
-3*(v - 3)**2*(v - 1)
Let r be (5/1 + -5)/(4/2). Suppose 0*q - 7*q = r. Factor 2/5*f**2 - 2/5*f**3 + q + 0*f.
-2*f**2*(f - 1)/5
Let i(p) be the first derivative of -4/25*p**5 + 2/5*p**2 - 1/5*p**4 + 0*p + 4/15*p**3 + 11. Suppose i(v) = 0. What is v?
-1, 0, 1
Let f(y) be the second derivative of y**7/3360 + y**6/360 + y**5/120 + y**3 - 25*y. Let z(b) be the second derivative of f(b). Factor z(i).
i*(i + 2)**2/4
Let u(j) be the second derivative of 9*j + 0 - 1/9*j**3 + 0*j**2 + 1/18*j**4. Factor u(t).
2*t*(t - 1)/3
Let k be (-716)/240 - (-17 + 14). Let w(o) be the third derivative of -1/24*o**3 + k*o**5 + o**2 - 1/192*o**4 + 0 - 1/192*o**6 + 0*o. Factor w(i).
-(i - 1)**2*(5*i + 2)/8
Let -9*q**2 + 15*q**3 + 0*q**2 - 40 - q**2 + 5*q**4 - 60*q = 0. What is q?
-2, -1, 2
Let w(q) be the first derivative of 1 + 0*q - 5/3*q**3 + 0*q**2 - 5/4*q**4 + q**5 + 5/6*q**6. Factor w(c).
5*c**2*(c - 1)*(c + 1)**2
Let x(q) be the second derivative of 0 + 3/100*q**5 - 1/10*q**3 + q + 1/50*q**6 + 3/5*q**2 - 3/20*q**4. Factor x(o).
3*(o - 1)**2*(o + 1)*(o + 2)/5
Solve -31/2*q**4 + 0 + 0*q + 0*q**2 - 1/2*q**5 - 15*q**3 = 0.
-30, -1, 0
Let s be -1 + ((-119)/(-35) - 4/10). Let t(u) be the second derivative of 1/6*u**3 - 1/30*u**6 + 1/12*u**4 - 1/20*u**5 + 0*u**s + 0 + 7*u. Factor t(h).
-h*(h - 1)*(h + 1)**2
Let y(m) be the first derivative of 2*m**6/3 + 8*m**5/5 - 5*m**4 - 8*m**3 - 116. Factor y(j).
4*j**2*(j - 2)*(j + 1)*(j + 3)
Let o be (1/(-7)*2)/((-3)/21). Solve p**3 + 20*p**o - 32*p**2 + 2*p**3 = 0 for p.
0, 4
Let s(y) = 12*y**2 + 4*y - 12. Let d(b) = -b**3 - 25*b**2 - 9*b + 25. Let i(q) = -2*d(q) - 5*s(q). Factor i(n).
2*(n - 5)*(n - 1)*(n + 1)
Let h = 42 + -40. What is s in -2 + s**h + 5*s**2 - 21*s + 14 + 3*s**3 = 0?
-4, 1
Let g = 164 - -17. Let z = g - 175. Find o such that 0*o - 9/2*o**2 - 3/2*o**3 + z = 0.
-2, 1
Let f(i) be the first derivative of -i**6/27 + 8*i**5/15 - 49*i**4/18 + 20*i**3/3 - 76*i**2/9 + 16*i/3 - 310. Solve f(u) = 0.
1, 2, 6
Let j = 899 + -899. Let z(b) be the second derivative of -8*b - 1/28*b**4 + j - 3/14*b**2 - 1/7*b**3. Factor z(q).
-3*(q + 1)**2/7
Let x(k) = -2*k - 5. Let u be x(-4). Solve -u + 4*a - 4*a**3 - 3*a**2 + a**4 - a**4 + 7 - a**4 = 0.
-2, -1, 1
Let b(p) = -2*p**3 - 5*p**4 + 3*p**5 - 2*p - p**3 + 5 - 3*p**3. Let k(z) = 3*z**5 - 4*z**4 - 6*z**3 - z + 4. Let s(r) = 4*b(r) - 5*k(r). Factor s(x).
-3*x*(x - 1)**2*(x + 1)**2
Let k(f) = -2*f**3 - 233*f**2 + 5*f. Let l(i) = -2*i**3 - 232*i**2 + 4*i. Let a(d) = -4*k(d) + 5*l(d). Factor a(z).
-2*z**2*(z + 114)
Let d(o) be the third derivative of -2/1155*o**7 - 13*o**2 - 1/220*o**6 + 0*o**5 + 0 + 0*o**3 + 1/132*o**4 + 0*o. Suppose d(w) = 0. Calculate w.
-1, 0, 1/2
Let j(r) = -r**2 - 12*r + 66. Let a be j(-16). Factor 4/15 - 2/15*g - 2/15*g**a.
-2*(g - 1)*(g + 2)/15
Let x(y) be the third derivative of -y**6/360 + y**5/30 + 25*y**4/72 + y**3 - y**2 - 33. Solve x(h) = 0 for h.
-2, -1, 9
Factor -30*c + 16*c**3 - 2*c**3 - 14*c**2 - 20795 - 2*c**4 + 20795.
-2*c*(c - 5)*(c - 3)*(c + 1)
Suppose -h - 2*n + 0*n = 0, 3*h + 4*n - 6 = 0. Factor 10*q**4 - h*q**2 - 2*q + 4*q**3 - 1 - 11*q**4 + 6*q.
-(q - 1)**4
Let s be (-270)/495*(1 - 12). Suppose -s = -282*w + 280*w. Solve 1/7*m**2 + 1/7*m**w + 3/7 - 5/7*m = 0 for m.
-3, 1
Let 24/11*v**2 + 2/11*v**3 + 58/11*v - 84/11 = 0. Calculate v