+ 3*n**d - 15/2*n - 3 = 0. What is n?
-1, -2/5, 1
Suppose -1/12*s**3 + 0 + 1/3*s**2 + 0*s = 0. Calculate s.
0, 4
Factor 0*i**2 - 1/4*i**5 - 1/4*i**3 + 0 + 1/2*i**4 + 0*i.
-i**3*(i - 1)**2/4
Let r(b) = -b**3 + 3*b**2 + 6*b - 4. Let d be r(4). Let -2*n**2 + d*n - n - n**2 = 0. What is n?
0, 1
Let z = -41 + 45. Let p(x) be the third derivative of 2*x**2 + 0*x + 1/4*x**3 - 3/32*x**z + 0 + 1/80*x**5. Solve p(k) = 0.
1, 2
Let a(g) be the third derivative of -g**8/504 - g**7/105 + 2*g**5/45 + 4*g**2. Determine m so that a(m) = 0.
-2, 0, 1
Let p(s) = s**2 + 4*s + 1. Let z be p(-5). Suppose 0 = -3*l + 12 - z. What is u in 11*u - l*u**2 - 3*u - 2*u - 5*u + u**3 = 0?
0, 1
Let j(c) be the third derivative of -c**7/1155 + c**6/220 - c**4/33 + 13*c**2. Factor j(p).
-2*p*(p - 2)**2*(p + 1)/11
Let h(b) be the third derivative of 1/72*b**4 + 1/120*b**6 - b**2 + 0 + 1/60*b**5 + 0*b + 1/630*b**7 + 0*b**3. Suppose h(v) = 0. What is v?
-1, 0
Factor 64*m**2 - 2*m**3 + 2*m - 64*m**2.
-2*m*(m - 1)*(m + 1)
Suppose s - 4*s = -15. Let j(o) = 2*o**4 + o**3 + 7*o**2 - 5*o. Let w(n) = n**4 + 3*n**2 - 2*n. Let a(q) = s*w(q) - 2*j(q). Factor a(b).
b**2*(b - 1)**2
Let b(i) be the second derivative of -i**6/240 + i**5/120 + i**2 - 2*i. Let s(t) be the first derivative of b(t). Factor s(d).
-d**2*(d - 1)/2
Let q be 0 + 2 - (2 + 0). Let m(w) be the third derivative of -3*w**2 + q*w**3 + 0*w + 1/160*w**6 + 1/8*w**4 + 1/20*w**5 + 0. Solve m(p) = 0.
-2, 0
Suppose 5*o - 5 = 15. Let m be o/(-16) - (-2)/8. Factor -1/2*t**3 + 0*t + m + t**2.
-t**2*(t - 2)/2
Determine k so that -4 - 5*k - 3*k**2 - 4*k + 0 - 2 = 0.
-2, -1
Let q(x) be the second derivative of x**7/14 + x**6/10 - 9*x**5/10 + x**4/2 + 5*x**3/2 - 9*x**2/2 + 20*x. Find d, given that q(d) = 0.
-3, -1, 1
Let n(t) be the first derivative of -3*t**5/5 - 15*t**4/4 - 4*t**3 + 41. Suppose n(b) = 0. Calculate b.
-4, -1, 0
Suppose y - 3*y + 2*r = -18, -4*r = -y + 21. Suppose 5*x = 2*x - 5*s, y*x = s. Factor 0*t + x*t**2 + 0 - 2/9*t**3 + 2/3*t**5 - 4/9*t**4.
2*t**3*(t - 1)*(3*t + 1)/9
Let s(u) be the first derivative of 3*u**5/25 + 3*u**4/10 - 3*u**3/5 - 6*u**2/5 + 12*u/5 + 4. Factor s(i).
3*(i - 1)**2*(i + 2)**2/5
Let t(h) be the third derivative of -h**6/480 - h**5/80 - h**4/48 - 23*h**2. Factor t(r).
-r*(r + 1)*(r + 2)/4
Let y be 18 - (0 + 2 - 0). Let p be 2 + 0 - y/(-12). Find q such that 0*q**2 - p*q**4 + 0 + 0*q - 14/3*q**5 + 4/3*q**3 = 0.
-1, 0, 2/7
Factor -28/9*p**3 - 4/9 - 32/9*p**2 - 2/9*p**5 - 2*p - 4/3*p**4.
-2*(p + 1)**4*(p + 2)/9
Let v(n) be the second derivative of -n**4/60 + n**3/15 - n**2/10 - 6*n. Factor v(u).
-(u - 1)**2/5
Let q(a) be the second derivative of 3/20*a**5 + 1/4*a**4 + 1/6*a**3 + 0*a**2 - 9*a + 1/30*a**6 + 0. Factor q(u).
u*(u + 1)**3
Let c = 19 + -5. Let n be 6/(-9) + c/12. Factor -n*o**2 - 1/2*o + 1.
-(o - 1)*(o + 2)/2
Suppose -3*i + 30 - 6 = 0. Solve -c**2 - i - c**3 - c**4 - c**3 + 8 = 0 for c.
-1, 0
Find m, given that 6/5*m + 8/5 - 2/5*m**2 = 0.
-1, 4
Let g(s) be the second derivative of 1/21*s**7 - 1/15*s**6 + 0*s**2 + 1/6*s**4 + 2/3*s**3 + 2*s - 3/10*s**5 + 0. Factor g(z).
2*z*(z - 2)*(z - 1)*(z + 1)**2
Factor 4/3*f - 2/9*f**2 - 16/9.
-2*(f - 4)*(f - 2)/9
Let f(j) = 2*j**2 - j + 1. Let c be f(1). Suppose 2*d = -3*x + 4, 0 = d + 3*x - c. Factor 0*i - 10*i**2 - d*i - 7*i - i**3 - 2*i**3 - 2.
-(i + 1)*(i + 2)*(3*i + 1)
Let v(u) = -u**4 + 15*u**3 - 9*u**2. Let q(n) = -16*n**3 + 10*n**2. Let d(s) = 5*q(s) + 6*v(s). Factor d(g).
-2*g**2*(g - 1)*(3*g - 2)
Let o(i) be the second derivative of 1/3*i**4 + 0 + 0*i**2 - 8*i + 2/3*i**3. Factor o(d).
4*d*(d + 1)
Let n(b) = -10*b**3 - 12*b**2 - 22*b - 13. Let h(r) = -3*r**3 - 4*r**2 - 7*r - 4. Let o(x) = 14*h(x) - 4*n(x). Factor o(y).
-2*(y + 1)**2*(y + 2)
Let a(n) be the second derivative of n**4/15 + 7*n**3/30 + 3*n**2/20 - 14*n. Determine l so that a(l) = 0.
-3/2, -1/4
Let u(f) be the third derivative of 0 - 1/60*f**5 + 0*f + 6*f**2 + 1/3*f**3 - 1/24*f**4. Find k such that u(k) = 0.
-2, 1
Suppose -4*b + 8 = -2*v, -2*b - 4*v = -3*b - 5. Find w, given that 0 + 21/4*w**4 + 13/4*w**b + 0*w + 1/2*w**2 = 0.
-1/3, -2/7, 0
Suppose 3*h - 5*h + 8 = 0. Determine q, given that -4*q**3 + 12*q**4 - 2*q**2 - q**2 - 9*q**2 + h*q = 0.
-1, 0, 1/3, 1
Let f(n) = 5*n**2 + 7*n - 16. Let u(s) = -s**2 - 2*s + 4. Let o(l) = 2*f(l) + 9*u(l). Solve o(j) = 0 for j.
2
Let h(p) be the third derivative of 3*p**2 + 0*p**4 - 1/120*p**6 + 0 + 0*p**5 + 0*p + 0*p**3. Factor h(g).
-g**3
Let o(r) = r**3. Let w(j) = -90*j**3 - 21*j**2 + 12*j - 1. Let h(f) = 24*o(f) - 3*w(f). Factor h(u).
3*(2*u + 1)*(7*u - 1)**2
Let m(q) = 8*q**2 - 20. Let r(t) = 25*t**2 - 60. Let z(f) = -10*m(f) + 3*r(f). Factor z(l).
-5*(l - 2)*(l + 2)
Factor 22*l - 2 + 29 + 3*l**4 + 66*l**2 - 14*l**3 + 50*l + 38*l**3.
3*(l + 1)**2*(l + 3)**2
Let g be (78/(-27) - -2)/(-2). Let v(r) = -r**2 + 5*r + 8. Let z be v(6). Factor -2/9*p**z + 0 - g*p.
-2*p*(p + 2)/9
Factor -16/7 + 2/7*i**4 + 6/7*i**3 - 24/7*i - 4/7*i**2.
2*(i - 2)*(i + 1)*(i + 2)**2/7
Let g(j) be the first derivative of j**6/120 + j**5/5 + 2*j**4 + 32*j**3/3 + j**2 + 1. Let a(y) be the second derivative of g(y). What is r in a(r) = 0?
-4
Factor 1/5 - 2/5*x + 1/5*x**2.
(x - 1)**2/5
Factor 12*j - 9*j**2 + 5*j**2 + 9 + 7*j**2.
3*(j + 1)*(j + 3)
Factor 36*t**2 - 4*t - t**3 + 3*t - 15*t**2 - 19*t**2.
-t*(t - 1)**2
Suppose 6*k - 16 = k + p, -5*p = -k - 16. Suppose -5*c = -4*t - 108, -3*t + 78 = k*c - 2*t. Factor 8 - 3*f**4 - 11*f**2 - 28*f**2 - c - 18*f**3 - 36*f.
-3*(f + 1)**2*(f + 2)**2
Let n(k) be the third derivative of -k**5/300 + k**4/120 + k**3/15 - 22*k**2. Let n(b) = 0. What is b?
-1, 2
Let c = -2 + -8. Let m = 10 + c. Factor m + 2/5*q**3 + 2/5*q - 4/5*q**2.
2*q*(q - 1)**2/5
Factor -9 + 3*j**3 - 4*j**2 + j**2 - 3*j + 12.
3*(j - 1)**2*(j + 1)
Let j(l) be the third derivative of l**8/336 + l**7/30 + l**6/8 + 3*l**5/20 + 3*l**2. Find u, given that j(u) = 0.
-3, -1, 0
Let q(t) be the second derivative of t**4/24 - t**3/6 - 3*t**2/4 - 2*t. What is m in q(m) = 0?
-1, 3
Let z = -3 - -9. Let b = z + -3. Solve -6*t**2 + 2 + 2*t**b + 0 + 3*t + 3*t - 4 = 0 for t.
1
Let z(s) = s**3 + 8*s**2 + 2. Let h be z(-8). Determine g so that -2/3*g**h + 1/3*g - 1/3*g**3 + 2/3 = 0.
-2, -1, 1
Suppose 0*x = x - 4. Determine k so that -x + 0 - k**3 + k + 4 = 0.
-1, 0, 1
Let f be (-3)/10*14/(-378). Let v(b) be the third derivative of 0 - 3*b**2 + f*b**5 - 1/315*b**7 + 0*b**6 + 0*b + 0*b**4 + 0*b**3. Factor v(l).
-2*l**2*(l - 1)*(l + 1)/3
Let h = 0 + 2. Find i, given that -40 + 40 - 2*i**2 - h*i = 0.
-1, 0
Let q(r) = 14*r**2 + 26*r + 12. Suppose 8 = 3*v - 4*v. Let a(i) = -9*i**2 - 17*i - 8. Let s(z) = v*a(z) - 5*q(z). Find g, given that s(g) = 0.
-2, -1
Find q, given that -2/7*q + 0 + 8/7*q**2 = 0.
0, 1/4
Let u = 38/9 - 172/45. Find f such that u*f**2 - 12/5*f + 18/5 = 0.
3
Let -41*t + 17*t - t**2 + 6*t - 81 = 0. What is t?
-9
Let x(n) = 2*n. Let t be x(1). Suppose t*s = s + 3. Factor d**s - 2*d**4 + d**5 - 10*d + 10*d.
d**3*(d - 1)**2
Find s, given that 16/11*s**3 - 80/11*s + 12/11*s**2 + 2/11*s**4 + 50/11 = 0.
-5, 1
Determine q so that 0 - 1/4*q**3 + 1/4*q**2 + 1/2*q = 0.
-1, 0, 2
Suppose -2*z = -2, 4*g + z - 6*z = 15. Suppose -3*i = -2*f + 2, g*f - 18 = -i + 2*i. Solve 2/7*h**i - 2/7*h**4 + 0*h - 2/7*h**3 + 0 + 2/7*h**5 = 0 for h.
-1, 0, 1
Let q(b) be the second derivative of -b**6/10 + 3*b**5/20 + b**4/2 - 15*b. Factor q(c).
-3*c**2*(c - 2)*(c + 1)
Let j(y) be the first derivative of -10*y**3/27 + 2*y**2/9 - 3. What is b in j(b) = 0?
0, 2/5
Let u be -1 + 0 + 4/2. Let h(b) = -b**3 - b**2 - b + 1. Let r(m) = -2*m**4 + 8*m**3 + 12*m**2 + 8*m - 10. Let p(q) = u*r(q) + 8*h(q). Let p(y) = 0. What is y?
-1, 1
Let h(x) be the first derivative of -x**4/6 + 2*x**3/9 + x**2/3 - 2*x/3 - 4. Find v, given that h(v) = 0.
-1, 1
Let z(j) = -2*j. Let v be z(-1). Let c(r) = -9*r**2 + 15*r - 8. Let w(s) = -1. Let g(y) = v*w(y) - c(y). Factor g(u).
3*(u - 1)*(3*u - 2)
Let c(f) be the first derivative of 1/3*f**3 + 4*f + 2*f**2 + 4. Factor c(a).
(a + 2)**2
Let p = -12 + 18. Let 42*c**2 + 27*c**4 + 0 - 18*c - 39*c**3 - 40*c**3 - p*c**5 + 3 + 31*c**3 = 0. What is c?
1/2, 1
Let o(b) = b + 15. Let u be o(-12). Let v(c) be the third derivative of 0*c + 0*c**3 - u*c**2 - 1/24*c**4 - 1/60*c**5 + 0. Solve v(g) = 0.
-