/5 - 81*t**5/10 + 27*t**4/2 - 31*t**3/3 + 4*t**2 - t - 18. What is d in p(d) = 0?
1/3, 1, 4/3
Let v(s) be the first derivative of -s**6/36 + s**5/30 + s**4/24 - s**3/18 + 13. Factor v(d).
-d**2*(d - 1)**2*(d + 1)/6
Let a(y) = -y**2 - 18*y - 17. Let g be a(-17). Suppose g = -2*i + 8*i - 24. Factor -1/3*s**i + 0 + 1/3*s + 1/3*s**2 - 1/3*s**3.
-s*(s - 1)*(s + 1)**2/3
Suppose -4*o + 0 = -4. Let f = 3 + o. What is t in 0*t + 1/4*t**2 + 0*t**3 - 1/4*t**f + 0 = 0?
-1, 0, 1
Let x be 10/4 + 14/(-7). Let m(g) be the second derivative of 0 + x*g**2 + 11/6*g**4 + 17/30*g**6 - 7/5*g**5 - 4/3*g**3 - 2/21*g**7 - 2*g. Factor m(p).
-(p - 1)**4*(4*p - 1)
Suppose 10*f**2 + 10*f**3 - 16*f**2 - 8*f**2 + 6*f - 2*f**4 = 0. What is f?
0, 1, 3
Factor -2/3*c**2 + 0 + 2/3*c**5 - 2*c**4 + 2*c**3 + 0*c.
2*c**2*(c - 1)**3/3
Let t(z) be the first derivative of -z**8/8400 + z**6/1800 - z**3 + 1. Let w(k) be the third derivative of t(k). Let w(s) = 0. What is s?
-1, 0, 1
Let v(p) be the first derivative of 1/3*p**4 - 4 + 0*p**5 + 0*p**3 + 0*p - 1/3*p**2 - 1/9*p**6. Factor v(b).
-2*b*(b - 1)**2*(b + 1)**2/3
Let w be (3/(-9)*-3*1)/1. Let h(a) be the first derivative of 0*a**2 - w + 0*a + 2/15*a**3 + 1/5*a**4 + 2/25*a**5. Suppose h(t) = 0. Calculate t.
-1, 0
Suppose 3*n - 2 = 2*n. Suppose w - 2 + w**n + w**2 - 4*w - 3*w**2 = 0. What is w?
-2, -1
Let w(p) be the third derivative of p**6/780 - p**5/130 + p**4/52 - p**3/39 + 5*p**2. Suppose w(s) = 0. Calculate s.
1
Suppose b - 30 = -0*b + 2*n, 4*b - 84 = -4*n. Solve -4*s**4 + 16*s**3 - b*s**2 + 6*s + 0*s - 4 + 10*s = 0 for s.
1
Let i(f) be the second derivative of f**4/3 - 2*f**3/3 + 9*f. Find j such that i(j) = 0.
0, 1
Let s(q) = -q**2 + q + 1. Let t(m) = 10*m + 10. Let z(w) = 2*s(w) - t(w). Factor z(l).
-2*(l + 2)**2
Let f(g) = -2*g**2 - 10. Let c(l) = 6*l**2 - l + 9 - 7 + 27. Let p(b) = -6*c(b) - 17*f(b). Suppose p(h) = 0. What is h?
1, 2
Let x(g) be the third derivative of -g**5/30 - g**4/3 - 8*g**2. Suppose x(c) = 0. What is c?
-4, 0
Let q(m) = -20*m**4 - 17*m**3 + 9*m**2 - 23*m. Let y(b) = -7*b**4 - 6*b**3 + 3*b**2 - 8*b. Let g(z) = -6*q(z) + 17*y(z). Determine l, given that g(l) = 0.
-2, 0, 1
Let l(h) be the third derivative of -h**5/30 - h**4/8 - h**3/6 - 3*h**2. Factor l(o).
-(o + 1)*(2*o + 1)
Let c(x) be the first derivative of x**5/25 + x**4/6 + 2*x**3/15 + 3*x + 2. Let o(a) be the first derivative of c(a). Let o(u) = 0. Calculate u.
-2, -1/2, 0
Let f(l) be the second derivative of 0 + 0*l**2 + 1/120*l**5 + 2/3*l**3 + 1/720*l**6 + 0*l**4 - l. Let i(h) be the second derivative of f(h). Factor i(g).
g*(g + 2)/2
Let n be (1 - 1) + (-8)/(-2). Let v = 8 - n. Solve -6*b**v + 3*b**4 - b**5 + 2*b**4 = 0.
-1, 0
Let l = 22 - 8. Find q such that -8*q**3 + l*q**2 + q - 2 - 2*q + 0*q - 3*q = 0.
-1/4, 1
Let z(n) be the third derivative of n**8/336 - n**7/42 + n**6/12 - n**5/6 + 5*n**4/24 - n**3/6 + n**2 - 9. Factor z(g).
(g - 1)**5
Let z = 13/29 + -59/261. Factor z*b**2 + 0 - 2/9*b.
2*b*(b - 1)/9
Let f be 44/99 - (-1 + (-43)/45). Suppose -2/5*y**4 - 26/5*y**2 + f*y**3 + 24/5*y - 8/5 = 0. What is y?
1, 2
Let p(j) = 28*j**3 - 47*j**2 + 25*j + 4. Let c(o) = -28*o**3 + 48*o**2 - 24*o - 4. Let b(u) = -5*c(u) - 4*p(u). Suppose b(r) = 0. Calculate r.
-1/7, 1
Let q = 16 - 16. Let y(o) be the second derivative of 1/6*o**2 + 2*o + 0*o**3 - 1/18*o**4 + 1/90*o**6 + q*o**5 + 0. Factor y(x).
(x - 1)**2*(x + 1)**2/3
Suppose 0 = -5*n + 4*n + 5. Let p be -4 + 3 - n/(-4). Factor 1/2 + p*g**2 - 3/4*g.
(g - 2)*(g - 1)/4
Let h be -1 + 5/((-75)/(-18)). Let u = -3/10 - -1/2. Factor -h*t - 1/5 + u*t**3 + 1/5*t**2.
(t - 1)*(t + 1)**2/5
Let s(y) be the second derivative of -1/5*y**5 + y**2 - 7*y - 1/21*y**7 - 1/5*y**6 + 0 + y**3 + 1/3*y**4. Determine h so that s(h) = 0.
-1, 1
Let i be 6 - (-45)/(-10) - 2/2. Factor 1/4*f - 5/4*f**2 + 0 + 9/4*f**3 - 7/4*f**4 + i*f**5.
f*(f - 1)**3*(2*f - 1)/4
Suppose y + 11 = -4*u - 6, u = -5. Let m(k) be the first derivative of 0*k + k**2 - 2/3*k**y + 4. Factor m(s).
-2*s*(s - 1)
Factor -2/19*i**2 - 18/19 + 12/19*i.
-2*(i - 3)**2/19
Suppose -2*c - 3*c + 15 = 0. Let i(s) be the first derivative of 14*s**c + 4*s + 4*s**2 + 5*s**2 + 1 + 4*s**2. Factor i(r).
2*(3*r + 1)*(7*r + 2)
Let j = 2/1339 - -5350/4017. Solve 2/3*q**3 + 10/3*q - j - 8/3*q**2 = 0 for q.
1, 2
Let b(g) be the first derivative of 0*g - 1/4*g**2 + 1/18*g**3 + 4. Find a, given that b(a) = 0.
0, 3
Let x(c) = 23*c**4 - 165*c**3 - 76*c**2 + 155*c + 43. Let w(t) = t**4 + t**3 + t + 1. Let l(o) = -5*w(o) - x(o). Determine v so that l(v) = 0.
-1, -2/7, 1, 6
Solve 3/4*w**3 - 9/4*w**4 + 0 + 3/2*w**2 + 0*w = 0.
-2/3, 0, 1
Let k = 22/3 - 7. Let c = 7/12 - k. Let 1/4*o**3 + 1/4*o**2 - c*o + 0 - 1/4*o**4 = 0. What is o?
-1, 0, 1
Let t = 4 + -7. Let q = t - -6. Factor -2/7*i + 2/7*i**q + 0*i**2 + 0.
2*i*(i - 1)*(i + 1)/7
Let j be (8/(-10))/(8/(-20)). Let m = j - -1. Factor -3*a**3 + a - 2*a**2 + 2 - 4*a**m + 6*a**3.
-(a - 1)*(a + 1)*(a + 2)
Let r(v) = 3*v**4 - 6*v**3 + 12*v - 3. Let a = 6 - 5. Let l(w) = -w. Let x(j) = a*r(j) + 6*l(j). Factor x(u).
3*(u - 1)**3*(u + 1)
Find r such that 5/3*r**3 - 1/3*r**4 + 0 + 4/3*r - 8/3*r**2 = 0.
0, 1, 2
Let d(a) be the third derivative of -a**6/4 + 25*a**5/12 - 35*a**4/6 + 10*a**3/3 - 18*a**2. Factor d(z).
-5*(z - 2)**2*(6*z - 1)
Factor -4/7 + 1/7*g + 3/7*g**2.
(g - 1)*(3*g + 4)/7
Factor 0*k + 2/7*k**4 - 2/7*k**3 + 2/7*k**5 - 2/7*k**2 + 0.
2*k**2*(k - 1)*(k + 1)**2/7
Let z be 3/7 - (-15)/63. Let j be (6/(-2))/(6/(-4)). Let 0*c + 0 + 4/3*c**j - 2*c**3 + z*c**4 = 0. What is c?
0, 1, 2
Suppose -4*u - 2*z = 2, -2*z - 2 = -0*z. Suppose -5*l + 10 = u, -j + 5*j + l = 10. Determine q so that -2*q**3 + 2*q**j + 0 + 2/3*q**4 - 2/3*q = 0.
0, 1
Let x(i) be the third derivative of i**8/168 - 2*i**7/105 - i**6/20 + 4*i**5/15 - i**4/3 - 12*i**2. Let x(n) = 0. Calculate n.
-2, 0, 1, 2
Let a(m) = m**4 - 4*m**3 + 9*m**2 - 6*m. Let o(n) = -2*n**4 + 11*n**3 - 27*n**2 + 18*n. Let p(v) = 11*a(v) + 4*o(v). Factor p(c).
3*c*(c - 1)**2*(c + 2)
Let b = 8 - 4. Find f such that f**5 - 6*f**3 + 2*f**4 + 4*f**2 - f + 2*f**b - 2*f**5 = 0.
0, 1
Let f(m) = -m**3 - m**2 - m - 1. Let x be f(-2). Let b be x/(10/8) + -2. Let 0 + 2/3*y**3 - 2/3*y**b + 0*y = 0. Calculate y.
0, 1
Determine l so that -17*l**2 - 33*l**3 + 2*l**5 - 9*l**2 + 19*l**3 + 2*l**4 - 12*l = 0.
-2, -1, 0, 3
Let x(p) = 4*p - 4. Let w be x(2). Let d(a) be the first derivative of 0*a - 1/8*a**2 - 1 - 1/6*a**3 - 1/16*a**w. Find t such that d(t) = 0.
-1, 0
Let j(x) be the first derivative of 0*x**2 - 2/3*x**3 + 2*x - 4. Factor j(o).
-2*(o - 1)*(o + 1)
Let z(y) be the third derivative of y**8/504 - y**7/63 + y**6/20 - 7*y**5/90 + y**4/18 + 17*y**2. Determine f so that z(f) = 0.
0, 1, 2
Let g(f) be the second derivative of f**6/60 + 3*f**5/40 + f**4/12 - 10*f. Factor g(u).
u**2*(u + 1)*(u + 2)/2
Let b(v) be the third derivative of v**6/40 - v**5/4 + 7*v**4/8 - 3*v**3/2 + 9*v**2. Factor b(k).
3*(k - 3)*(k - 1)**2
Let j = 1 + 1. Let t be (-72)/45 - j/(-1). Let -t*m**4 + 0 + 2/5*m + 6/5*m**3 - 6/5*m**2 = 0. What is m?
0, 1
Find d, given that d**2 + 0 - 1/2*d = 0.
0, 1/2
Let h(i) = 2*i**2 - 26*i - 92. Let q be h(16). Factor 0*s**2 - 1/2*s**3 + 1/4*s + 0 + 0*s**q + 1/4*s**5.
s*(s - 1)**2*(s + 1)**2/4
Let q(f) be the third derivative of -1/360*f**6 + 0*f**5 + 0*f + 1/72*f**4 + 0*f**3 + f**2 + 0. Find i such that q(i) = 0.
-1, 0, 1
Let r(f) be the first derivative of -f**6/75 + f**5/25 - 2*f**3/15 + f**2/5 + f + 3. Let c(p) be the first derivative of r(p). Suppose c(x) = 0. Calculate x.
-1, 1
Let a(n) be the third derivative of -n**7/84 + n**6/480 + 7*n**5/240 + n**4/48 - 4*n**2. What is s in a(s) = 0?
-1/2, -2/5, 0, 1
Factor 64/3*y**4 - 28/3*y**2 + 32/3*y**3 + 4/3*y + 0.
4*y*(y + 1)*(4*y - 1)**2/3
Let n = -144 + 146. Factor 2/3*m**3 + 2/3*m**5 + 0*m**n + 0 + 0*m - 4/3*m**4.
2*m**3*(m - 1)**2/3
Suppose 6*o - 12 = 2*o. Solve 2*k**2 - k**2 - 4*k**o - k**2 = 0 for k.
0
Let n(g) be the third derivative of -g**5/30 - g**4/6 + g**3 - 12*g**2. What is f in n(f) = 0?
-3, 1
Let t = 1187/90 - -14/45. Let v = 14 - t. Solve -1/2*n**2 + n - v = 0.
1
Solve -3/5*u**3 + 0 - 3*u**2 - 9/5*u + 3/5*u**4 = 0 for u.
-1, 0, 3
Let d be (-4 - -1) + -3 + 2. Let x(q) = -7*q**4 - 3*q**3 - 4*q. Let t(w) = -8*w**4 - 4*w**3 - 5*w. Let z(r) = d*t(r)