25 = 0, -4*b - 8 = 0. What is p in -1/4*p + 1/2 + 1/2*p**4 + 1/2*p**3 - 1/4*p**r - p**2 = 0?
-1, 1, 2
Suppose -16*i + 14*i + 12 = 0. Find b, given that 50*b - i*b**2 - 42 + b**2 - 30 - 53 = 0.
5
Let x be (-7 - 23/(-3))*3. Let i(g) be the second derivative of 0*g**4 - 8*g - 1/15*g**3 + 0*g**x + 0 + 1/50*g**5. Let i(c) = 0. Calculate c.
-1, 0, 1
Suppose -48/23 - 22/23*t**2 + 68/23*t + 2/23*t**3 = 0. What is t?
1, 4, 6
Let u(s) be the first derivative of s**3/3 - 24*s**2 + 576*s - 74. Find q, given that u(q) = 0.
24
Let c = 22 - 22. Let h(u) be the first derivative of 3/5*u**5 + 3/4*u**4 - 3/2*u**2 - 5 - u**3 + c*u. Factor h(g).
3*g*(g - 1)*(g + 1)**2
Let j(t) be the first derivative of 0*t - 1/20*t**5 + 11 - 25/8*t**2 - 5/4*t**3 + 9/16*t**4. What is f in j(f) = 0?
-1, 0, 5
Let v(a) be the second derivative of -1/130*a**5 + 0*a**2 + 1/273*a**7 + 0*a**3 + 0*a**6 - 11*a + 0*a**4 + 0. Suppose v(w) = 0. What is w?
-1, 0, 1
Let 50/3 - 101/3*s + 52/3*s**2 - 1/3*s**3 = 0. Calculate s.
1, 50
Let i(f) be the third derivative of -f**9/3024 + f**7/168 + f**6/72 + 5*f**4/24 - 17*f**2. Let n(p) be the second derivative of i(p). Factor n(s).
-5*s*(s - 2)*(s + 1)**2
Suppose 898 = 4*h + 4*g + 874, -4*g + 14 = -h. Factor -72/7*a**h + 24/7*a - 2/7.
-2*(6*a - 1)**2/7
Let h(x) = 13*x - 139. Let p be h(11). Let r(m) be the first derivative of -2/7*m + 1/7*m**2 + 3/14*m**p + 10/21*m**3 - 1. Factor r(s).
2*(s + 1)**2*(3*s - 1)/7
Suppose 0 = -12*x - 14 + 50. Let r(m) be the second derivative of -1/4*m**4 + 0 + 0*m**2 + 1/2*m**x + 5*m. Factor r(s).
-3*s*(s - 1)
Factor -2/11*c**2 + 0 + 46/11*c.
-2*c*(c - 23)/11
Let h(s) be the first derivative of 2*s**3/21 - 24*s**2/7 - 104*s/7 + 147. Suppose h(k) = 0. Calculate k.
-2, 26
Let g be (30/(-8) - 0)/((-5)/20). Let n be 2/g + (-8)/(-165). Suppose 0*f**3 - n*f**5 + 2/11*f**4 + 0*f**2 + 0 + 0*f = 0. Calculate f.
0, 1
Let s(i) be the second derivative of -i**6/12 - 5*i**5/8 - 15*i**4/8 - 35*i**3/12 - 5*i**2/2 + 48*i + 2. What is z in s(z) = 0?
-2, -1
Let y = -1080/7 + 9769/63. Find b such that 16/9*b + 0 - 4/3*b**3 - y*b**4 + 4/9*b**2 - 1/9*b**5 = 0.
-4, -2, 0, 1
Let y(a) = a**2 - 7*a - 6. Let f be y(8). Suppose 2*r - 5*g + 6 = 0, f*r = -2*g + 2 + 6. Suppose -1/2*x - 1/2*x**r + 1/2*x**3 + 1/2 = 0. What is x?
-1, 1
Let d = -303 - -123. Let l be 280/d*(-6)/7. Factor 4/3*c**3 - 4/3*c - 4*c**2 + 8/3 + l*c**4.
4*(c - 1)**2*(c + 1)*(c + 2)/3
Let y be (465/(-651))/(10/(-42)). Solve 0 - 3*m**2 + 2/5*m**y - 8/5*m = 0 for m.
-1/2, 0, 8
Let y be (3/(-2))/((-15)/30). Determine o so that o + 3*o + o + 16*o**y + 3*o - 36*o**2 = 0.
0, 1/4, 2
Let n = -16007 - -32015/2. Factor x**2 + 0*x**3 - 1/2*x**4 + 0*x - n.
-(x - 1)**2*(x + 1)**2/2
Let g(h) = -9*h**4 + 6*h**3 + 9*h**2 - 30*h + 48. Let y(k) = 2*k**4 - k**3 - 2*k**2 + 6*k - 10. Let d(w) = -5*g(w) - 24*y(w). Suppose d(f) = 0. Calculate f.
-2, -1, 0, 1
Let h(o) be the second derivative of o**7/147 + 4*o**6/35 - 2*o**5/5 + o**4/21 + 9*o**3/7 - 2*o**2 - 17*o. Suppose h(l) = 0. Calculate l.
-14, -1, 1
Suppose -10*v - 11*v - 33 + 33 = 0. Determine y, given that -y**3 + 0 + v*y + 1/2*y**2 = 0.
0, 1/2
Let x = 712 + -39158/55. Let z(v) be the first derivative of 0*v + 0*v**4 - x*v**5 + 0*v**3 + 0*v**2 - 5. Suppose z(y) = 0. What is y?
0
Suppose -4*u + 14 = 6. Let l be 6/(-21) - (-4)/14. Factor 3*j**u - 2*j**2 + 1 - 2 + l*j**2.
(j - 1)*(j + 1)
Factor -9/7 + 8/7*t**2 + 6/7*t**3 + 1/7*t**4 - 6/7*t.
(t - 1)*(t + 1)*(t + 3)**2/7
Factor 15*s - s - 11*s - 3*s**2 + 0*s**2 + 0*s**2.
-3*s*(s - 1)
Let l = -1/3198 - -12799/22386. Determine z, given that 8/7 - 4/7*z**2 + l*z = 0.
-1, 2
Let t(n) be the first derivative of 0*n**2 - n + 5 + 1/30*n**4 + 2/15*n**3. Let w(u) be the first derivative of t(u). Factor w(k).
2*k*(k + 2)/5
Let b be (-368)/(-207) - -1*4/18. Factor 9*f**4 - 8*f**3 + 0*f**2 - 13*f**4 - 4*f**b.
-4*f**2*(f + 1)**2
Suppose -2*s + 30 = -5*q, -5*q + 42 = 5*s - q. Find w, given that 34 + 2*w - 3*w**2 + 4*w - s = 0.
-2, 4
Factor -10 + 45/2*w**2 + 15/2*w + 5*w**3.
5*(w + 1)*(w + 4)*(2*w - 1)/2
Let x(v) = -8*v + 66. Let d = -123 + 131. Let c be x(d). Factor -4/3*q + 8/3 + 1/6*q**c.
(q - 4)**2/6
Let o be (4 - 4) + -4 + 7 - 1. Suppose -13*x + 128 = -o. Find p, given that 4*p + 2/5*p**2 + x = 0.
-5
Factor -o**3 + 2/3*o**2 + 1/3*o**4 + 0 + 0*o.
o**2*(o - 2)*(o - 1)/3
Suppose -3*r**3 + 2*r**4 + 13*r - 4*r**4 + 3*r**4 + 3*r**2 - 14*r = 0. Calculate r.
0, 1
Let u(v) be the first derivative of v**7/84 + v**6/40 - v**5/20 - v**4/16 + v**3/12 - 3*v - 17. Let w(l) be the first derivative of u(l). Solve w(b) = 0.
-2, -1, 0, 1/2, 1
Let s(a) be the third derivative of a**5/240 + a**4/48 + a**3/24 - 36*a**2 + a. Determine g so that s(g) = 0.
-1
Let c(j) be the first derivative of j**7/14 - 4*j**6/15 + 11*j**5/30 - 2*j**4/9 + j**3/18 + 6*j + 11. Let w(r) be the first derivative of c(r). Factor w(s).
s*(s - 1)**2*(3*s - 1)**2/3
Let h = -75 - -189. Suppose -122*b + 0*b**2 + 2*b**3 + 16 - 4*b**2 + h*b = 0. Calculate b.
-2, 2
Let r(c) = c**2 - c - 1. Let l be 1/((-1)/1)*4/4. Let t(k) = 22*k**2 + 7*k + 4. Let b(w) = l*t(w) - 6*r(w). Factor b(n).
-(4*n - 1)*(7*n + 2)
Let j(m) = 7*m**4 + 11*m**3 - 4*m**2 - 8*m + 3. Let q(b) = 64*b**4 + 100*b**3 - 36*b**2 - 72*b + 28. Let i(d) = 28*j(d) - 3*q(d). Let i(h) = 0. Calculate h.
-2, -1, 0, 1
Let q = -4 + 6. Factor 3*l**3 - l**4 - 7*l + q*l**5 + 5*l + 2*l**5 + l**2 - 5*l**5.
-l*(l - 1)**2*(l + 1)*(l + 2)
Let g(k) be the first derivative of -k**9/1512 - k**8/2520 + 2*k**7/945 + k**6/405 + 7*k**3/3 + 9. Let r(j) be the third derivative of g(j). Factor r(v).
-2*v**2*(v - 1)*(3*v + 2)**2/9
Let y be (-8)/(-10) + (-16)/(-5). Suppose -y*x - 24 = -3*i - 4, 2*i = x + 5. Factor -2/3*a + a**2 + i.
a*(3*a - 2)/3
Suppose 4*f + 687 = -2*q + 679, 2*q + 14 = -f. What is y in -f*y + 9/4 - 1/4*y**2 = 0?
-9, 1
Let v be (33/(-88))/((-3)/2). Let m be (6/(-32))/((-27)/36). Factor 0 + 0*a + v*a**4 - 1/4*a**2 + 1/4*a**5 - m*a**3.
a**2*(a - 1)*(a + 1)**2/4
Let -14/3*r**4 - 128/3*r + 0 - 24*r**3 - 1/3*r**5 - 160/3*r**2 = 0. What is r?
-4, -2, 0
Suppose -16*g - 5*g = 0. Let f(b) be the third derivative of 0*b + 1/2*b**3 + 4*b**2 + 3/40*b**6 - 1/4*b**5 + g + 1/8*b**4. Factor f(l).
3*(l - 1)**2*(3*l + 1)
Let z(u) = u**2 - u - 1. Let m = -422 - -423. Let q(i) be the second derivative of i**4/4 - i**3/2 - i**2 - 2*i. Let b(r) = m*q(r) - 2*z(r). Factor b(c).
c*(c - 1)
Suppose -24*z = 3*z - 54. Let q(i) be the second derivative of 1/6*i**4 + 0 + 2*i + 1/40*i**5 + 1/3*i**3 + 0*i**z. Suppose q(o) = 0. What is o?
-2, 0
Factor -3/7*f**4 + 75/7*f - 81/7*f**2 + 33/7*f**3 - 24/7.
-3*(f - 8)*(f - 1)**3/7
Factor 8/9*q**2 + 0*q - 2/9*q**4 + 0 + 2/3*q**3.
-2*q**2*(q - 4)*(q + 1)/9
Factor 2*s + 0 + 11/6*s**2 - 1/6*s**3.
-s*(s - 12)*(s + 1)/6
Let r(x) be the third derivative of -2*x**2 + 0*x**3 + 0*x - 1/42*x**4 - 1/420*x**5 + 0. What is z in r(z) = 0?
-4, 0
Let l be 3 - (-2)/(-120)*717. Let f = l - -46/5. Determine h, given that -f*h**5 + 0 + 0*h**3 + 1/4*h**4 + 0*h + 0*h**2 = 0.
0, 1
Let m be ((-98)/(-28))/((-28)/(-16)). Let h be (-8)/(-3) - (-2)/6. Factor -h*v**2 - v**2 - 4*v**4 - 10*v**3 + m*v**3.
-4*v**2*(v + 1)**2
Find l, given that -12/19 - 2/19*l**2 + 10/19*l = 0.
2, 3
What is l in -46/11*l**2 + 72/11 - 2/11*l**4 - 18/11*l**3 - 6/11*l = 0?
-4, -3, 1
Let m = -42 - -30. Let q be 10/35 + m/(-7). Factor -q - 9*n + 8*n**3 - 2*n**4 + 18*n**4 - 12*n**2 - n.
2*(n - 1)*(2*n + 1)**3
Let w = 102 + -146. Let v be w/(-36) + (-2)/9. Factor -3 + v + 2 - 3*q**2.
-3*q**2
Let m(k) be the second derivative of -k**4/54 - 86*k**3/27 - 1849*k**2/9 - 184*k. Suppose m(o) = 0. Calculate o.
-43
Let s be 0/(6 + -3 - 2). Suppose s = -3*c - 4*g - 3, 3*g + 12 = 2*c + g. Factor 9*z**2 + 3*z**2 - 12*z**3 - c*z**2 + 3*z**2 + 4*z**4 - 4*z.
4*z*(z - 1)**3
Let v(l) = -l**4 - 2*l**3 - l - 1. Let a(o) = -4*o**4 - 70*o**3 - 95*o**2 - 23*o + 15. Let q(p) = -2*a(p) + 18*v(p). Suppose q(y) = 0. Calculate y.
-1, 2/5, 12
Suppose 20*q - 25*q = -10. Suppose 0 = -t + 5, -3*o + 5*t - 10 = q*o. Determine i so that 2/13*i**2 + 2/13*i**o - 2/13*i - 2/13 = 0.
-1, 1
Suppose 2*a = -4*i - 6 - 4, 0 = -5*i - 2*a - 12. Let x be (i + 1)/((-1)/17). Factor -8 - 6*v - x - 4*v - v**2.
-(v + 5)**2
Let q(g) be the third derivative of g**5/180 + g**4/72 - g**3/9 - 2*g**2 + 63*g. Fact