 4/7*b**3 + 1/7*b**5 = 0. What is b?
-1, 1, 2
Let j = -15 + 16. Factor 2 + 1 - f**2 + j + 3*f - 6.
-(f - 2)*(f - 1)
Let k = -34 - -64. Let o - o**3 + 3 - k*o**2 + 50*o**2 - 24*o**2 + 1 = 0. Calculate o.
-4, -1, 1
Let v = -44153/7 - -6309. Find t, given that 4/7 - 6/7*t**3 - 8/7*t**2 + v*t = 0.
-2, -1/3, 1
Let w(o) = -12*o**4 + 5*o**3 + 5*o**2 - 5*o + 7. Let x(c) = 8*c**4 - 3*c**3 - 3*c**2 + 3*c - 5. Let m(g) = -5*w(g) - 7*x(g). Factor m(y).
4*y*(y - 1)**2*(y + 1)
Let l(p) be the first derivative of p**4/9 - 16*p**3/9 + 26*p**2/3 - 112*p/9 - 672. Factor l(u).
4*(u - 7)*(u - 4)*(u - 1)/9
Suppose 0 = 5*f - 101 - 44. Factor -56*n - 1 + 17 + 20*n**2 + f*n**2.
(7*n - 4)**2
Let m = -1959 + 9811/5. Factor m*u - 4/5 - 16/5*u**2.
-4*(2*u - 1)**2/5
Factor -114/7*d**2 - 20/7*d - 22/7*d**3 + 0.
-2*d*(d + 5)*(11*d + 2)/7
Let x(r) be the third derivative of r**6/540 + r**5/54 + r**4/27 - 317*r**2. Factor x(h).
2*h*(h + 1)*(h + 4)/9
Let h(k) be the second derivative of 5*k**4/12 + 215*k**3/3 + 9245*k**2/2 + k - 38. Factor h(c).
5*(c + 43)**2
Let v(w) be the first derivative of -w**6/14 + 3*w**5/5 - 6*w**4/7 - 16*w**3/7 - 29. Factor v(j).
-3*j**2*(j - 4)**2*(j + 1)/7
Let k(n) be the third derivative of -1/224*n**8 - 6*n**2 + 0 - 1/35*n**7 + 0*n**3 + 3/16*n**4 - 1/40*n**6 + 1/10*n**5 - 4*n. Determine t, given that k(t) = 0.
-3, -1, 0, 1
Let k(j) be the second derivative of -j**4/48 - 3*j**3/8 - 5*j**2/2 - 20*j - 3. Suppose k(d) = 0. Calculate d.
-5, -4
Let p(g) = 2*g**3 - 2*g**2 - 4*g + 2. Let d(n) = -2*n**2 + 1. Let j(v) = -2*d(v) + p(v). Suppose j(r) = 0. What is r?
-2, 0, 1
Let q(s) = -s**2 - 11*s + 3. Let x be q(-11). Let p(a) be the first derivative of 2/21*a**x - 4/7*a**2 + 6/7*a + 5. Factor p(y).
2*(y - 3)*(y - 1)/7
Let z(k) be the third derivative of 31*k**2 + 1/24*k**4 + 0*k**3 + 0 - 1/90*k**5 + 0*k - 1/360*k**6. Factor z(s).
-s*(s - 1)*(s + 3)/3
Let g be (-36)/6*2/(-6). Suppose 8*z + 34*z**3 - 30*z**3 - 24*z**g + 28*z = 0. What is z?
0, 3
Let y(v) be the second derivative of -2*v**6/15 - 33*v**5/5 - 58*v**4 - 664*v**3/3 - 432*v**2 + v + 363. Determine u so that y(u) = 0.
-27, -2
Let p = -84 - -68. Let v be (-9)/(-42)*p/(-12). What is l in 2/7*l**3 - 2/7*l**2 + 0 - 2/7*l + v*l**4 = 0?
-1, 0, 1
Let c(v) be the second derivative of -v**7/10 - v**6/10 + 69*v**5/100 + v**4/20 - 8*v**3/5 + 6*v**2/5 - 3*v + 54. Find g, given that c(g) = 0.
-2, -1, 2/7, 1
Let j = -53472/7 - -7640. What is f in j*f**4 + 0 - 10/7*f**3 + 4/7*f**2 + 0*f - 2/7*f**5 = 0?
0, 1, 2
Let t be 3/((-14)/(-22) + 1/(-2)). Factor 3*o + t*o**2 + 24*o**3 - 559*o**5 + 4*o + 10*o**4 + 560*o**5.
o*(o + 1)**3*(o + 7)
Let d be (-4)/(-14) - 10/(-14). Suppose 0 = 5*m + 2*p, m + 4*p + 0*p + 18 = 0. Find g, given that -g**3 - g + 21*g**m + 2*g + d - 22*g**2 = 0.
-1, 1
Let d(k) be the third derivative of 0*k + 1/4*k**4 + 30*k**2 + 0 - 1/2*k**3 - 1/20*k**5. Determine h so that d(h) = 0.
1
Let b(h) = h**3 + h + 1. Let p(t) = 12*t**3 + 28*t**2 - 48*t + 64. Let c be 68/(-17) + -1*(12 - 0). Let g(q) = c*b(q) + p(q). Solve g(l) = 0 for l.
2, 3
Let q(t) be the second derivative of -t**5/20 + t**4/8 - 6*t**2 + 6*t. Let w(g) be the first derivative of q(g). Factor w(a).
-3*a*(a - 1)
Let c(g) be the first derivative of -6*g**3/7 + 222*g**2/7 - 2738*g/7 + 328. Determine d, given that c(d) = 0.
37/3
Let i(d) be the first derivative of -d**5/10 - 3*d**4/8 + 3*d**3/2 - 5*d**2/4 + 86. Let i(u) = 0. What is u?
-5, 0, 1
Suppose -2*l + 2 + 10 = 0. Let p(u) be the second derivative of 0*u**3 + 0 - 1/10*u**l + 0*u**4 + 3/10*u**5 - 1/14*u**7 + u + 0*u**2. Factor p(q).
-3*q**3*(q - 1)*(q + 2)
Suppose 2/11*s**2 - 2/11*s - 24/11 = 0. Calculate s.
-3, 4
Let i be (-1 - (-1 - 1)) + 2/(-10). Let k(o) be the first derivative of 4/15*o**3 + i*o**2 + 2 + 0*o. Let k(z) = 0. What is z?
-2, 0
Let m be -1*23*(-3 + 2). Suppose 0 = 26*k - m*k. Factor -4/5*o - 2/5*o**2 + k.
-2*o*(o + 2)/5
Let m be (12/(-18))/(-2*(-2 + 3)). Let d(s) be the first derivative of -m*s - 2 + 1/3*s**2 - 1/9*s**3. Factor d(q).
-(q - 1)**2/3
Find j, given that -155/2*j**4 - 121/4*j**3 - 3*j**2 - 25/4*j**5 + 0 + 0*j = 0.
-12, -1/5, 0
Let l(t) be the third derivative of 1/630*t**7 + 14*t**2 + 0*t + 0*t**3 + 3/40*t**6 + 0 + 81/8*t**4 + 27/20*t**5. Factor l(r).
r*(r + 9)**3/3
Factor -727 + 42*s**2 - 100*s - 523 - 44*s**2.
-2*(s + 25)**2
Let x = 16 + -13. Factor x*n**2 + 4*n + n - 2*n.
3*n*(n + 1)
Factor 696*u**2 + 5*u**4 + 2*u**4 + 14 - 992*u**3 + 32*u**4 - 18*u**4 + 107*u**4 - 170*u.
2*(u - 7)*(4*u - 1)**3
Suppose 2*v + 1 = 45. Suppose -24 = 10*k - v*k. Factor 0 + 4/3*x**k + 4/3*x.
4*x*(x + 1)/3
Factor -12*a**2 + 56*a**3 + 42 + 14*a**3 + 29*a - 69*a**3.
(a - 7)*(a - 6)*(a + 1)
Let q(l) be the second derivative of -l**6/20 + 9*l**5/40 - l**3 + 2*l - 18. Find r such that q(r) = 0.
-1, 0, 2
Let m = -218 - -220. Let f be ((32/36)/8)/(m/12). Factor 14/3*t**3 - f + 3*t - 2*t**4 + 1/3*t**5 - 16/3*t**2.
(t - 2)*(t - 1)**4/3
Let l = 2926 + -623240/213. Let d = l - -3418/1065. What is t in 0 + 4/5*t**3 + d*t - 16/5*t**2 = 0?
0, 2
Let w be 42/4*-2*1. Let v be w/(-9) - (-2)/(-6). Determine k so that -5*k**2 + 2*k**4 + 6*k**3 + 5*k**2 + v*k + 6*k**2 = 0.
-1, 0
What is i in -7*i**2 + 3*i - i**3 - 30 - 3*i**3 + i**3 + 37*i**2 = 0?
-1, 1, 10
Let v be (-8)/(-30)*((-2)/4 + 3). Solve -2/3 - 4/3*d + 4/3*d**3 + 0*d**2 + v*d**4 = 0 for d.
-1, 1
Let s = -35 + 65. Suppose -25*q**3 - 8*q - 40 + 28*q + s*q**2 + 7*q**4 + 3*q**4 - 5*q**4 = 0. What is q?
-1, 2
Let a(j) be the third derivative of -12*j**2 + 0 + 1/30*j**5 + 0*j + 7/192*j**8 + 0*j**4 + 1/8*j**6 + 0*j**3 + 3/20*j**7. Factor a(x).
x**2*(x + 2)*(7*x + 2)**2/4
Suppose -4*z - 2 = 34. Let d(u) = u**2 + 8*u - 7. Let i be d(z). Factor -i*b + 0*b**2 + 4*b**2 + b**3 + 4*b + b**3.
2*b*(b + 1)**2
Factor -2/11*s**3 + 6/11*s**2 + 0*s - 8/11.
-2*(s - 2)**2*(s + 1)/11
Factor -3*p - 3*p**4 + 3403*p**3 - 3439*p**3 - 4*p - 33*p**2 + 7*p.
-3*p**2*(p + 1)*(p + 11)
Let m = 9304 + -9304. Factor 5/2*g**4 + 0*g + 0 - 5/3*g**3 + m*g**2.
5*g**3*(3*g - 2)/6
Let d(s) = -s**2 + 10*s + 15. Let r be d(11). Suppose 8 = r*y - 5*v, 2*v - 5*v = 0. Factor -6/5 + 26/5*w - 8/5*w**y.
-2*(w - 3)*(4*w - 1)/5
Let q be (-5)/(495/(-114)) - ((-371)/(-77) + -5). Let 13/3*b**2 + 1/3*b**4 - 4*b + q - 2*b**3 = 0. What is b?
1, 2
Let q = -946 + 948. Let t(p) = 2*p - 4. Let b be t(4). Suppose -4/7*j**3 + 2/7*j**q + 0*j + 2/7*j**b + 0 = 0. What is j?
0, 1
Let n = -2/605 + 486/605. Let t be -7*(-1)/2*48/42. Factor 4/5*v + 2/5 - n*v**3 + 0*v**2 - 2/5*v**t.
-2*(v - 1)*(v + 1)**3/5
Solve 15*t - 15*t + t**2 + 36 - 31*t - 6*t = 0 for t.
1, 36
Let k be 0/(2 + -4 - 0). Let -3*q**2 + 4*q**2 - 2*q + k*q**2 + q**2 = 0. Calculate q.
0, 1
Let l = 42947/4 - 10728. Factor -l + 75/4*u - 5/2*u**2.
-5*(u - 7)*(2*u - 1)/4
Let a = 608 + -5470/9. Let v = 1361/9 - 151. Factor -v*d + 4/9 - a*d**2.
-2*(d - 1)*(d + 2)/9
Let c = 1754 + -1754. Factor c - 2/7*p**2 - 4/7*p.
-2*p*(p + 2)/7
Let w be 7 - ((-4)/(-26) - (56736/(-2106))/4). Determine i so that 0 + w*i**3 - 1/9*i + 0*i**2 = 0.
-1, 0, 1
Suppose -9*y = -126 + 18. Let n be (y/(-40))/(6/(-8)). Factor n + 1/5*q**2 + 3/5*q.
(q + 1)*(q + 2)/5
Factor -150/11*o - 4/11 + 14*o**2.
2*(o - 1)*(77*o + 2)/11
Let d = 7/151 + 81/1510. Let o(z) be the first derivative of 1/5*z - 5 + d*z**2 - 1/15*z**3 - 1/20*z**4. Find j, given that o(j) = 0.
-1, 1
Suppose 2*a = 5*t - 10, 3*t + 2725*a - 2728*a = 6. Determine d, given that -1/5*d**t + 3/5*d + 2 = 0.
-2, 5
Factor 12*u**2 + 21*u + 21*u**3 + 36*u**2 + 12*u + 6 + 0*u**2.
3*(u + 1)**2*(7*u + 2)
Let u(l) be the second derivative of -l**7/420 + l**6/180 - 7*l**3/2 - 32*l. Let w(b) be the second derivative of u(b). Factor w(t).
-2*t**2*(t - 1)
Let j be 80/320 - 106/(-24). Solve -88/3*b**4 - 4 - j*b**5 - 64*b**3 - 82/3*b - 188/3*b**2 = 0.
-3, -1, -2/7
Suppose 3*f = -3*y - 6, f - 5*y = -7*y - 4. Let x(t) be the first derivative of 0*t - 2/45*t**5 + 0*t**2 + f*t**4 + 5 + 2/27*t**3. Factor x(o).
-2*o**2*(o - 1)*(o + 1)/9
Let x be ((-952)/204)/((-22)/6). Solve -x*m + 40/11*m**2 - 4/11 + 50/11*m**3 = 0 for m.
-1, -1/5, 2/5
Let a = 6 + -1. Let r = a + 3. Factor -4*q**4 - 5*q**3 + 45*q**3 - 46*q**4 - r*q**2.
-2*q**2*(5*q - 2)**2
Let j be 1407/2546*(-16)/(-6). Factor j*q - 2/19*q**2 - 98/19.
-2*(q - 7)**2/19
Factor -19/4*r**3 - 56*r +