13, 5*p + 7 = -4*i. Suppose 0 - 2/3*y**3 - 2/3*y + 4/3*y**i = 0. What is y?
0, 1
Let m be (-1 - 0)*(-11 - -7). What is a in 6*a**2 - a + 18*a**3 + 12*a**4 + 7*a**2 + m*a + 3*a**5 - a**2 = 0?
-1, 0
Let y(m) be the second derivative of m**8/5040 - m**7/2520 - 5*m**3/6 + 4*m. Let s(i) be the second derivative of y(i). Factor s(u).
u**3*(u - 1)/3
Let t(h) be the second derivative of h**5/20 - h**4/6 - h**3/2 - 20*h. Factor t(r).
r*(r - 3)*(r + 1)
Let t(l) = -l**2 - 10*l + 9*l + 0*l**2. Let i be t(0). Let -1/3*k**3 + 1/3*k**5 + 0 - 1/3*k**2 + i*k + 1/3*k**4 = 0. What is k?
-1, 0, 1
Suppose -3*m**2 + 0 + 8/3*m + 1/3*m**3 = 0. Calculate m.
0, 1, 8
Suppose -3*f - 2*d = 10, -5 = 3*f - 3*d + 4*d. Let b(r) be the third derivative of f*r - r**2 + 1/180*r**6 + 0*r**5 + 0*r**3 + 0 - 1/36*r**4. Factor b(s).
2*s*(s - 1)*(s + 1)/3
Suppose 33 + 23 = 14*g. Factor 2/7*q**g + 6/7*q**2 - 2/7*q + 0 - 6/7*q**3.
2*q*(q - 1)**3/7
Factor 0*h**2 - 2*h**2 + h**2 - 1 - 2*h.
-(h + 1)**2
Let i(d) = -9*d**3 - 9*d**2 + 14*d - 1. Let u(c) = 4*c**3 + 5*c**2 - 7*c + 1. Let m(w) = 6*i(w) + 10*u(w). Let m(h) = 0. Calculate h.
-1, -2/7, 1
Let q(r) = r**2 + 8*r + 3. Let z be q(-8). Suppose k + 4 = z*k. What is a in 2/5*a**2 - 4/5 + 12/5*a**3 - k*a = 0?
-2/3, -1/2, 1
Let l = -51 + 54. Find h, given that -1/5*h**2 + 0 + 0*h + 2/5*h**l - 1/5*h**4 = 0.
0, 1
Let o(q) = q**2 - 7*q + 9. Let g be o(6). Let z(u) = 2*u**3 + u**2 + u - 1. Let n(t) = -3*t**3 - t**2 - t + 1. Let x(d) = g*n(d) + 4*z(d). Factor x(r).
-(r - 1)**2*(r + 1)
Let f be (-140)/40*1/(-21). Let x(o) be the third derivative of -7/60*o**6 - f*o**4 - 3/10*o**5 + 3*o**2 + 0*o**3 + 0*o + 0. Factor x(p).
-2*p*(p + 1)*(7*p + 2)
Let u(m) be the third derivative of -m**9/151200 + m**7/12600 - m**5/30 + 3*m**2. Let b(a) be the third derivative of u(a). Factor b(g).
-2*g*(g - 1)*(g + 1)/5
Let l be -4 - ((-48)/4 + 5). Find h, given that -2/9*h**4 - 2/9*h**2 - 4/9*h**l + 0 + 0*h = 0.
-1, 0
Determine b so that 6*b**2 + 2/3 - 10/3*b - 14/3*b**3 + 4/3*b**4 = 0.
1/2, 1
Let j(t) be the second derivative of -5*t**7/42 + 4*t**6/15 + 9*t**5/20 - 2*t**4/3 - 2*t**3/3 - 2*t. Solve j(z) = 0.
-1, -2/5, 0, 1, 2
Let 7*o + 2*o - 16 + 3*o - 63*o**2 + 67*o**2 = 0. Calculate o.
-4, 1
Let r = 74 - 147/2. Factor 1/4 + r*x + 1/4*x**2.
(x + 1)**2/4
Let p be -1 + (3 - 464/185). Let m = -4/37 - p. Determine h so that 2/5*h**4 + 0*h**3 + 0*h + m - 4/5*h**2 = 0.
-1, 1
Suppose 4*f = -4*r + 2 + 30, -2*r - 3*f = -21. Suppose -24*k = -20*k - 8. Factor -3/2*m**k + 3/2*m + r.
-3*(m - 2)*(m + 1)/2
Factor -10*b**2 + 2*b**2 + 6*b**2 + 55*b**3 + 12*b**2.
5*b**2*(11*b + 2)
Let x = -26/3 - -131/15. Let i(r) be the second derivative of -3/50*r**5 + 0*r**2 - 1/75*r**6 + 0 - x*r**3 - 2*r - 1/10*r**4. Find s, given that i(s) = 0.
-1, 0
Let j = 377/99 + -37/11. Let y = j - 1/9. Factor 8/3*c**4 + 0 + 5/3*c**5 + 0*c - 2/3*c**2 + y*c**3.
c**2*(c + 1)**2*(5*c - 2)/3
Let h(v) be the third derivative of -v**5/15 + v**4/3 + 2*v**3 + 13*v**2. Determine s, given that h(s) = 0.
-1, 3
Suppose 31*l = 28*l + 6. Let -4/3*x**4 + x**3 + 0 - 4/3*x**5 - 1/3*x + 2/3*x**l = 0. What is x?
-1, 0, 1/2
Let a(u) be the second derivative of -u**7/14 - u**6/2 - 6*u**5/5 - u**4 + 32*u. Find m such that a(m) = 0.
-2, -1, 0
Let t be (-2)/13 + -8*1/(-52). Find v such that t + 5/4*v**3 - v + 2*v**2 = 0.
-2, 0, 2/5
Let q(u) be the third derivative of -1/210*u**7 + 0*u + 0 - 8*u**2 + 1/120*u**6 - 1/336*u**8 + 0*u**3 + 1/60*u**5 + 0*u**4. Let q(k) = 0. Calculate k.
-1, 0, 1
Let g = 4 - 2. Suppose -3 = -g*t - 1. Factor 3*k**2 + 0*k - t - 5*k**3 + k - 4*k**4 + 6*k**4.
(k - 1)**3*(2*k + 1)
Let w(c) be the second derivative of c**5/20 - c**4/2 + 5*c**3/6 + c**2 + 4*c. Let q be w(5). Factor -6*a**2 + 4 - 2*a**3 + a**3 + 2*a + 0*a**2 - a**3 + q*a**4.
2*(a - 2)*(a - 1)*(a + 1)**2
Let w(y) be the second derivative of y**8/1680 - y**7/210 + y**6/60 - y**5/30 + y**4/24 - y**3/2 + y. Let m(c) be the second derivative of w(c). Factor m(s).
(s - 1)**4
Factor 0 - 1/2*m**3 + m**2 - 1/2*m.
-m*(m - 1)**2/2
Let w be (-36)/(-32)*(-6)/(-9). What is z in 1/4 + w*z**2 + z = 0?
-1, -1/3
Let j(k) be the first derivative of 0*k + 3 - 4/33*k**3 + 0*k**4 - 1/33*k**6 + 4/55*k**5 + 1/11*k**2. Find l such that j(l) = 0.
-1, 0, 1
What is v in -5*v + 5*v**2 + 2 - v**4 + 4*v**3 - v**2 - 3*v**3 - v**2 = 0?
-2, 1
Suppose -2*k + 6*k = 0, -2*b - 14 = -5*k. Let o = 10 + b. Suppose 208/3*h**o - 4/3 - 44*h**2 - 152/3*h**4 + 14*h**5 + 38/3*h = 0. What is h?
2/7, 1/3, 1
Let k(w) be the first derivative of w**2 + 1/5*w**4 - 4/15*w**3 + 2 - 1/6*w**6 + 0*w + 1/10*w**5. Let z(t) be the second derivative of k(t). Factor z(i).
-2*(2*i + 1)*(5*i - 2)**2/5
Let i(d) be the first derivative of -d**5 + 13*d**4/4 + 2*d**3 - 10*d**2 - 8*d + 10. Solve i(v) = 0 for v.
-1, -2/5, 2
Let p be (-2)/1 + (0 - 0). Let t = p - -5. Factor t*r**5 + 3*r**4 - r**3 - r**4 - 4*r**5.
-r**3*(r - 1)**2
Let v = 32 + -29. Let i(x) be the second derivative of -1/10*x**5 - 1/2*x**2 + 0*x**4 + 1/30*x**6 + 1/3*x**v + 0 - 3*x. Determine k so that i(k) = 0.
-1, 1
Let p = -1 - -5. Let o(l) be the third derivative of 0*l**p + 1/300*l**6 + 0 - 1/525*l**7 + 0*l + 0*l**3 + 2*l**2 + 0*l**5. Factor o(j).
-2*j**3*(j - 1)/5
Find v such that -9*v**4 + 8*v**2 + 6*v**3 + 13*v**2 + 3*v**5 - 21*v**2 = 0.
0, 1, 2
Factor -1266*b**2 - 912*b**2 - 11*b - 54 - 2662*b**3 - 583*b.
-2*(11*b + 3)**3
Let u(y) be the third derivative of -1/240*y**5 + 0*y**3 + 0*y**4 - 1/1344*y**8 + 1/840*y**7 + 0 + 0*y - y**2 + 1/480*y**6. Factor u(i).
-i**2*(i - 1)**2*(i + 1)/4
Factor -n**4 - 6*n**2 + 9*n**3 - 10*n**4 + 8*n**4.
-3*n**2*(n - 2)*(n - 1)
Factor -2/9 + 2/3*s + 2/9*s**3 - 2/3*s**2.
2*(s - 1)**3/9
Factor 0 + 4/3*u**3 + 2/3*u**4 + 0*u + 2/3*u**2.
2*u**2*(u + 1)**2/3
Factor 2/17*n + 0 - 2/17*n**3 - 2/17*n**2 + 2/17*n**4.
2*n*(n - 1)**2*(n + 1)/17
Find h such that 0*h**2 + 2/7*h**4 + 2/7*h**3 + 0 + 0*h = 0.
-1, 0
Let a be -1*(-3 + 0/(-5)). Factor 0 - 4/7*j**2 - 2/7*j**a - 2/7*j.
-2*j*(j + 1)**2/7
Let u(r) be the first derivative of -10*r**6/3 - 21*r**5 - 205*r**4/4 - 185*r**3/3 - 75*r**2/2 - 10*r + 65. Solve u(w) = 0.
-2, -1, -1/4
Let v(k) be the third derivative of -k**5/20 + 3*k**4/2 - 18*k**3 - 8*k**2 - 2. Factor v(q).
-3*(q - 6)**2
Factor -3*y**2 + 7*y + 2*y**2 - 7*y.
-y**2
Let p(s) be the second derivative of s**5/40 + s**4/8 + s**3/4 - s**2/2 + 2*s. Let w(t) be the first derivative of p(t). Factor w(h).
3*(h + 1)**2/2
Let s(h) = -h**2 - 7*h - 10. Let q be ((-80)/8)/(-1 + 3). Let d be s(q). Factor d*j + 1/3*j**3 + 0 + 1/3*j**2.
j**2*(j + 1)/3
Let z(a) be the first derivative of 3/16*a**4 + 0*a**2 + 2 - 1/12*a**3 + 0*a. Let z(r) = 0. Calculate r.
0, 1/3
Let l be (-2 - (-16 - -19)) + (6 - -1). What is t in -9/4 + 3*t - 3/4*t**l = 0?
1, 3
Let f(p) be the second derivative of p**4/4 + 3*p**3/2 - 6*p. Factor f(g).
3*g*(g + 3)
Factor -1/4*w**3 + 1/4*w**2 + 0 + 1/4*w - 1/4*w**4.
-w*(w - 1)*(w + 1)**2/4
Let a(g) = -22*g**4 - 2*g**3 - 4*g**2 + 8*g - 8. Let t(u) = u**4 - u**3 + u**2 - u + 1. Let o = -11 + 3. Let f(q) = o*t(q) - a(q). Solve f(l) = 0 for l.
-1, 0, 2/7
Let 8/7*m + 0 - 12/7*m**2 + 2/7*m**3 + 3/7*m**4 - 1/7*m**5 = 0. What is m?
-2, 0, 1, 2
What is l in l**3 + 6*l**3 - 4*l**3 - 2*l**3 + l**2 = 0?
-1, 0
Let m(j) = -11*j**3 + 3*j**2 - 8. Let n be 6/39 + (-178)/(-26). Let k = 4 - n. Let f(b) = -4*b**3 + b**2 - 3. Let y(s) = k*m(s) + 8*f(s). Factor y(l).
l**2*(l - 1)
Let q = 5 + -4. Let s be 2/((-24)/(-4) + q). Factor 2/7*d**5 - s*d**4 + 4/7*d**2 - 4/7*d**3 - 2/7 + 2/7*d.
2*(d - 1)**3*(d + 1)**2/7
Let m(b) be the first derivative of -2*b**6/3 - 4*b**5/5 + b**4 + 4*b**3/3 + 12. Suppose m(d) = 0. Calculate d.
-1, 0, 1
Let m be (3/(-2))/((-1)/2). Let k(f) be the third derivative of 1/12*f**4 + 0*f**5 + 2*f**2 + 0 + 0*f - 1/60*f**6 + 0*f**m. Factor k(r).
-2*r*(r - 1)*(r + 1)
Let c(l) be the second derivative of -l**5/30 + l**4/6 - l**2/2 - 3*l. Let w(s) be the first derivative of c(s). Suppose w(r) = 0. Calculate r.
0, 2
Let t(i) = -i**4 - i**3 + i**2 - 1. Let c(o) = 4*o**3 - 2*o + 2. Let p(u) = 2*c(u) + 4*t(u). Suppose p(l) = 0. Calculate l.
-1, 0, 1
Let b(x) be the third derivative of -7/660*x**6 + 1/66*x**5 + 0 + 1/385*x**7 + 0*x**3 + 2*x**2 - 1/132*x**4 + 0*x. Factor b(m).
2*m*(m - 1)**2*(3*m - 1)/11
Let s(o) be the first 