v**2 + 0 + 4/15*v = 0 for v.
0, 2
Let l be 4 + -6 + 3 + 2. Let u be (-3 - 10/(-2)) + l. Suppose -4*n**2 - 2*n + n**2 - n + 1 + u = 0. What is n?
-2, 1
Solve -1/5*s**4 + 3/5*s + 1/5*s**2 - 3/5*s**3 + 0 = 0 for s.
-3, -1, 0, 1
Let j(d) be the third derivative of -d**7/525 + d**6/150 + d**5/150 - d**4/30 + 27*d**2. Factor j(q).
-2*q*(q - 2)*(q - 1)*(q + 1)/5
Let i(n) be the third derivative of -n**5/120 - 5*n**4/48 + n**3/2 + 6*n**2 + n. Find s such that i(s) = 0.
-6, 1
Let g = -4 + 4. Factor g + 1/3*c**2 + 1/3*c.
c*(c + 1)/3
Let -209/6*c**3 - 25/6*c**5 - 20*c**4 - 10*c - 83/3*c**2 - 4/3 = 0. What is c?
-2, -1, -2/5
Let q(h) be the third derivative of h**10/176400 - h**9/105840 - h**5/20 - 3*h**2. Let p(j) be the third derivative of q(j). Suppose p(g) = 0. What is g?
0, 2/3
Suppose -22*x + 2 = -64. Let a(j) be the first derivative of -1/9*j**2 + 1/18*j**4 + 2/27*j**x - 2/9*j - 1. Factor a(u).
2*(u - 1)*(u + 1)**2/9
Suppose -i - 3*i = -16. Suppose -5*b - 3*l + 45 = 16, -i*b + 3*l + 7 = 0. Factor -2*f**2 - 4*f**2 - f + b*f**2 - f**3.
-f*(f + 1)**2
Let d(q) = q**3 - q**2 + q - 1. Let j(a) = -15*a**3 - 4*a**2 - 7*a + 6. Let t(v) = 6*d(v) + j(v). Factor t(c).
-c*(c + 1)*(9*c + 1)
Let i(b) = -36*b**3 + 11*b**2 + 10*b + 4. Let s(m) = 36*m**3 - 12*m**2 - 9*m - 3. Let j(q) = 3*i(q) + 4*s(q). Solve j(z) = 0.
-1/4, 0, 2/3
Factor 0*r**2 + 3/5*r**5 + 6/5*r**4 + 0 + 0*r + 3/5*r**3.
3*r**3*(r + 1)**2/5
Let a(v) be the second derivative of -9/140*v**5 + 1/14*v**3 + 0*v**2 + 1/28*v**4 - 1/49*v**7 - 1/14*v**6 - 5*v + 0. Find f such that a(f) = 0.
-1, 0, 1/2
Let v(y) = y**2 + 5*y - 9. Let m be v(-7). Find n such that -6*n**5 + 3*n**5 - 3*n**5 - m*n**3 - 15*n**4 - n**3 = 0.
-2, -1/2, 0
Let h(m) be the first derivative of m**5/5 - m**4/4 + 2*m**3 + 2*m**2 + 6*m + 1. Let n(s) = s**4 + 6*s**2 + 4*s + 5. Let q(u) = 4*h(u) - 5*n(u). Factor q(o).
-(o + 1)**4
What is c in 0*c**3 + 64 + 18*c**2 + 0 + 2*c**3 + 54*c - 10 = 0?
-3
Let y(b) be the third derivative of -1/70*b**5 + 1/140*b**6 + 0 + 1/84*b**4 + 0*b**3 - 1/735*b**7 + 0*b - 6*b**2. Determine n so that y(n) = 0.
0, 1
Let z(q) = q**3 + 5*q**2 + 3*q + 3. Let u be z(-4). Suppose -4*o = 2*d - 16, u + 3 = 5*d. Suppose -1/4*n**2 + 1/4*n**o + 0 - 1/4*n + 1/4*n**4 = 0. Calculate n.
-1, 0, 1
Let u(p) = p**3 + 8*p**2 + 2. Let g be u(-8). Solve -140/3*s**3 - 398/3*s**g + 98/3*s**4 - 184/3*s - 8 = 0 for s.
-1, -2/7, 3
Let y = -19/12 - -131/60. Factor 0*d + y*d**2 + 0 - 3/5*d**4 + 0*d**3.
-3*d**2*(d - 1)*(d + 1)/5
Let a(c) be the first derivative of c**7/105 + c**6/120 - c**5/30 - c**4/24 + c**2 - 4. Let h(z) be the second derivative of a(z). What is i in h(i) = 0?
-1, -1/2, 0, 1
Let v(w) be the first derivative of 3*w**5/5 + 21*w**4/4 + 15*w**3 + 27*w**2/2 - 6. Determine o so that v(o) = 0.
-3, -1, 0
Let g(b) = b**2 + 14*b + 2. Let y be g(-14). Let h(a) = 2*a - 1. Let m be h(y). Determine p so that 14/5*p**4 + 2*p**5 - 14/5*p**2 - 4/5*p + 0 - 6/5*p**m = 0.
-1, -2/5, 0, 1
Factor 2/17*c**5 + 0*c**2 + 0*c + 4/17*c**3 + 0 + 6/17*c**4.
2*c**3*(c + 1)*(c + 2)/17
Let m(x) be the second derivative of x**7/840 + x**6/360 + x**3/2 + x. Let v(r) be the second derivative of m(r). Factor v(t).
t**2*(t + 1)
Suppose 0 = 4*g - 3 + 27. Let i(t) = t**2 + t. Let h(u) = 8*u**4 - 6*u**3 - 2*u**2 - 3*u. Let r(n) = g*i(n) - 2*h(n). Let r(m) = 0. Calculate m.
0, 1/4, 1/2
Let r be -4*3/(-6) - -1. Suppose 2*n + r = 3*n. Factor 10*l**n - 4 - 10*l + 0*l**3 + 6*l**4 - 2*l**2 + 0.
2*(l - 1)*(l + 1)**2*(3*l + 2)
Let b(v) = v**3 - 7*v**2 + 2*v + 7. Let c be b(7). Suppose c = 5*n - y + 3, 2*y = 3*n - 15. Solve -11*i**3 - i**2 + 13*i**n - i**2 = 0 for i.
0, 1
Let a(c) be the second derivative of -c**6/12 + c**5/2 - 25*c**4/24 + 5*c**3/6 - 15*c. Find d, given that a(d) = 0.
0, 1, 2
Suppose 3*o - 9 = x - 4*x, 5*x + 17 = 3*o. Determine i so that -4/7*i + 2/7*i**o - 2/7*i**5 - 2/7*i**2 + 0 + 6/7*i**3 = 0.
-1, 0, 1, 2
Let m be (-5)/25*1 - (-118)/90. Let -m*f**2 - 2/9*f**4 + 8/9*f**3 + 4/9*f + 0 = 0. Calculate f.
0, 1, 2
Let l(b) be the first derivative of b**6/3 + 14*b**5/5 + 9*b**4 + 44*b**3/3 + 13*b**2 + 6*b + 17. Factor l(r).
2*(r + 1)**4*(r + 3)
Suppose -3*j - j = 3*j. Let h(a) be the first derivative of 1/6*a**6 + j*a**2 - 1/3*a**3 + 1/5*a**5 - 3 - 1/4*a**4 + 0*a. What is f in h(f) = 0?
-1, 0, 1
Let q(p) be the second derivative of p**7/105 + p**6/15 + p**5/5 + p**4/3 + p**3/3 - p**2 - 2*p. Let n(u) be the first derivative of q(u). Factor n(f).
2*(f + 1)**4
Let u(h) be the third derivative of -2*h**7/105 + h**6/30 + h**5/15 - h**4/6 - 9*h**2. Find t such that u(t) = 0.
-1, 0, 1
Let i(r) be the first derivative of -2/25*r**5 + 1/5*r**4 - 2/5*r**2 + 0*r**3 + 2/5*r - 3. Find c such that i(c) = 0.
-1, 1
Factor -3/10*f + 3/10*f**3 + 4/5*f**2 + 0.
f*(f + 3)*(3*f - 1)/10
Find f, given that 18/7 + 12/7*f + 2/7*f**2 = 0.
-3
Let r(c) = 3*c - 6. Let t be r(3). Determine l so that 0 + 5/2*l**t - 2*l**4 - 1/2*l**2 + 0*l = 0.
0, 1/4, 1
Let c(j) be the second derivative of j**5/30 - j**4/12 - 2*j**3/3 + j**2/2 - 8*j. Let i(z) be the first derivative of c(z). Factor i(v).
2*(v - 2)*(v + 1)
Factor 1/8*p**2 - 5/8*p + 1/8*p**3 + 3/8.
(p - 1)**2*(p + 3)/8
Let s(d) = -d**3 + 17*d**2 - 17*d - 1. Let a be s(16). Let h = -14 - a. Factor -2/9*k**4 + 2/9*k**2 + 0 - 2/9*k**h + 0*k + 2/9*k**5.
2*k**2*(k - 1)**2*(k + 1)/9
What is f in 6/7*f + 0 + 3/7*f**4 + 15/7*f**2 + 12/7*f**3 = 0?
-2, -1, 0
Suppose 0 = -u - 2 + 1. Let n = -1 - u. Factor -2*a**3 + n*a**3 - a**2 - a**2.
-2*a**2*(a + 1)
Let v be 12/(-42) + ((-320)/(-126))/5. Find j, given that 2/9*j**3 + 0 + 4/9*j**2 + v*j = 0.
-1, 0
Suppose 5*f - h - 4 = 2, -22 = -f - 5*h. Factor 9*p + 3 + 3*p**3 + 9*p**2 - 5*p**f + 0*p**2 + 5*p**2.
3*(p + 1)**3
Let h = -84 + 36. Let f be 2/7 - h/28. Factor 0 - 1/5*w + 1/5*w**f.
w*(w - 1)/5
Solve 0 - 4/5*q**2 - 2/5*q - 2/5*q**3 = 0 for q.
-1, 0
Suppose 0 = 3*s - 5*s + 6. Let 13*c**3 - 12*c - 2*c**3 - 2*c**s + 3*c**4 = 0. Calculate c.
-2, 0, 1
Solve 391 - 391 - 5*u**2 + 5*u = 0 for u.
0, 1
Let s = -242 + 244. Factor 0*l**s - 3/4*l + 1/4*l**3 - 1/2.
(l - 2)*(l + 1)**2/4
Let x(j) be the third derivative of -j**5/80 + 3*j**4/32 - j**3/4 - j**2. Factor x(b).
-3*(b - 2)*(b - 1)/4
Let a(p) be the first derivative of -p**8/1008 + p**7/630 + p**2 - 2. Let k(v) be the second derivative of a(v). Factor k(c).
-c**4*(c - 1)/3
Let h(p) be the second derivative of -p**5/10 + p**4/2 + p**3/3 - 3*p**2 - 8*p - 1. Factor h(u).
-2*(u - 3)*(u - 1)*(u + 1)
Suppose 0 = -2*f - 0*f - 4*q + 16, 0 = 3*f + 3*q - 12. Factor 0*a**3 - 1/3*a**4 + 0*a + 1/3*a**2 + f.
-a**2*(a - 1)*(a + 1)/3
Let d = 20 + -20. Solve d*m - 1/6*m**2 + 0 = 0.
0
Solve -52*c**2 - 8*c**3 - 4*c**4 - 16 - 14*c + 12*c - 46*c - 16*c**3 = 0.
-2, -1
Factor 16*v**3 - 849 + 8*v + 849 + 36*v**2.
4*v*(v + 2)*(4*v + 1)
Let o be 416/(-72) + 6 - 8/(-18). Suppose o*g**2 + 4/3 + 2*g = 0. Calculate g.
-2, -1
Let c = 2/511 + 331/45990. Let s(b) be the third derivative of -7/72*b**4 - 1/9*b**3 + 7/360*b**6 + 0 + c*b**5 + 0*b - 2*b**2. Solve s(y) = 0.
-1, -2/7, 1
Suppose 0 = -11*s + 7*s + 16. Factor -2/9*d**3 + 0*d + 2/9*d**s + 0 + 0*d**2.
2*d**3*(d - 1)/9
Let o(i) = -i**3 + 4*i**2 + 3*i - 6. Let x be o(4). Let v be 6/(-2) - (-26)/x. Let 2/3*q**4 + 0*q**3 - v*q**2 + 2/3 + 0*q = 0. Calculate q.
-1, 1
Let a(b) be the third derivative of -4*b**7/315 + 2*b**6/135 - b**5/180 - b**3/6 + b**2. Let i(g) be the first derivative of a(g). Let i(f) = 0. Calculate f.
0, 1/4
Let m = 0 - 0. Let g(c) = -2*c**2 - 11*c - 5. Let d be g(-5). Solve 0 + 0*k**2 + 2/7*k**5 + d*k + m*k**4 + 0*k**3 = 0.
0
Find d such that -160 + d - 5*d**3 - 258*d**2 - d + 288*d**2 = 0.
-2, 4
Let x be ((-4)/12)/(2/(-6)). Let r = 1 + x. Solve -2*f**3 - 1 - f**3 - f - r*f - 3*f**2 + 2*f**3 = 0.
-1
Suppose -l + 26 = -0*l + 5*a, 0 = -2*a + 8. Determine o, given that -l - 11 - 1 + 12*o - 2*o**2 = 0.
3
Let l(v) be the first derivative of 1/20*v**5 + 5 + 0*v + 0*v**2 + 1/12*v**3 + 1/8*v**4. Let l(z) = 0. What is z?
-1, 0
Let p(h) be the second derivative of h**6/165 + h**5/55 + h**4/66 - 7*h. Find t, given that p(t) = 0.
-1, 0
Factor -h - 342*h**5 + 337*h**5 - 5*h**4 + 25*h**2 + 11*h + 15*h**3.
-5*h*(h - 2)*(h + 1)**3
Suppose -3*s + 0*s = -15, 0 = -4*l - 2*s + 22. Factor 0*w + 21/4*w**4 + 5*w**l + 0 + w**2.
w**2*(3*w + 2)*(7*w