d**2 + 0*d = 0. What is d?
-1, 1
Let c(r) = 3*r**3 + 6*r**2 + 12*r + 9. Let q(o) = 2*o**3 + 3*o**2 + 6*o + 5. Let j(u) = -5*c(u) + 9*q(u). Suppose j(n) = 0. Calculate n.
-1, 0, 2
Let h(r) = -4*r - 72. Let l be h(-18). Factor 0*n**2 - 2/5*n**3 + l*n + 2/5*n**4 + 0.
2*n**3*(n - 1)/5
Suppose -44*y + 141*y**2 - 112*y**3 - 12 + 44*y**4 - 14*y**3 + 8*y - 11*y**4 = 0. What is y?
-2/11, 1, 2
Let i be (-9)/(-132)*(-24)/(-9). Suppose -4*c = -3*l + 16, 2*l - 3*c = -2*l + 19. Factor 0*y - i*y**l + 0 + 0*y**3 + 2/11*y**2.
-2*y**2*(y - 1)*(y + 1)/11
Let g = -9 - -19. Let v = -6 + g. Solve -3 + 1 + 2*s**4 - v*s**2 + 4 = 0.
-1, 1
Find u, given that 152/5*u**3 + 54872/5*u - 4332/5*u**2 - 260642/5 - 2/5*u**4 = 0.
19
Let l(i) be the second derivative of i**6/210 + i**5/140 - i**4/28 - i**3/42 + i**2/7 + 13*i. Suppose l(w) = 0. What is w?
-2, -1, 1
Let m = 23 + -229/10. Let v(i) be the second derivative of 0*i**3 + 1/21*i**7 + 4*i + 0 + 0*i**6 - m*i**5 + 0*i**2 + 0*i**4. Factor v(x).
2*x**3*(x - 1)*(x + 1)
Let h = 6 - 2. Suppose 4*o = -4*p + 5*p + 20, 3*p = -4*o + h. Solve 0*u**3 + u**2 + o + u**3 - 4*u**2 = 0 for u.
-1, 2
What is p in -4/3*p - 4/3*p**2 + 0 = 0?
-1, 0
Suppose -16*z + 17*z = 0. Let l(m) be the second derivative of 3*m + 1/6*m**4 + 0 + 1/10*m**5 + z*m**2 + 0*m**3. Factor l(a).
2*a**2*(a + 1)
Let y(i) be the second derivative of -i**5/180 - i**4/36 - i**3/18 - i**2 - 4*i. Let v(f) be the first derivative of y(f). Solve v(u) = 0.
-1
Let n(i) be the second derivative of i**9/3456 - 3*i**8/4480 + i**7/3360 - i**3/6 - 7*i. Let f(y) be the second derivative of n(y). Factor f(d).
d**3*(d - 1)*(7*d - 2)/8
Let s(f) be the third derivative of f**2 + 0*f**4 + 0*f**5 + 0*f**3 + 0*f - 1/140*f**7 + 0 + 0*f**6. Factor s(h).
-3*h**4/2
Let q be 5/3 + 2/6. Let o be 3/q*24/18. Determine s, given that 0 + 0*s + 1/3*s**o = 0.
0
Let o(c) be the first derivative of -c**6/75 + 3*c**5/50 - c**4/10 + c**3/15 + 5*c - 2. Let b(j) be the first derivative of o(j). Factor b(f).
-2*f*(f - 1)**3/5
Let a(v) be the first derivative of 2 + 2/5*v + 1/20*v**4 - 2/15*v**3 - 1/10*v**2. Suppose a(j) = 0. What is j?
-1, 1, 2
Let f = 15 - 11. Let s = f - 0. Factor 2*q**2 + 0*q**s + q**3 - 3*q**2 - q**5 + q**4.
-q**2*(q - 1)**2*(q + 1)
Let k(a) be the third derivative of 0*a - 1/15*a**5 + 0 + 1/4*a**4 + 1/105*a**7 + 1/56*a**8 + 1/3*a**3 - 1/10*a**6 + a**2. Find z such that k(z) = 0.
-1, -1/3, 1
Let m be (-2 - 4)*12/(-9). Suppose 2*i = -2*i + m. Factor -4*y - 2*y**3 + 0*y**3 + i + 6*y**2 - 2*y.
-2*(y - 1)**3
Let w(k) be the first derivative of -1/10*k**2 - 2/5*k - 2 + 1/15*k**3. Factor w(f).
(f - 2)*(f + 1)/5
Let s be 0*((-2)/(-5))/(4/(-5)). Let t(w) be the first derivative of -1/3*w**6 + 4 - 4/5*w**5 + s*w - 1/2*w**4 + 0*w**3 + 0*w**2. Solve t(r) = 0.
-1, 0
Determine g, given that -1/4*g**4 + 3/2*g**3 - 13/4*g**2 + 3*g - 1 = 0.
1, 2
Let y(h) = 11*h**2 - 5*h + 1. Let k = 9 + -26. Let f(d) = -4*d**2 + 2*d. Let o(n) = k*f(n) - 6*y(n). Solve o(v) = 0 for v.
-1, 3
Let n be (-9)/2*20/10. Let o be ((-5)/(-3))/((-12)/n). Factor 1/2*x**3 + 1/4 + x + o*x**2.
(x + 1)**2*(2*x + 1)/4
Let d be ((-8)/20)/(1/(-5)). Let h(v) = 5*v**2 - 5*v - v**d + v**2. Let c(o) = -o**2 + o. Let x(z) = 11*c(z) + 2*h(z). Suppose x(u) = 0. What is u?
0, 1
Let d(f) be the first derivative of 1/4*f**2 + 4 + 1/6*f**3 - 1/2*f - 1/8*f**4. Suppose d(c) = 0. What is c?
-1, 1
Let y(x) be the first derivative of x**3/27 - x/9 - 20. Suppose y(b) = 0. What is b?
-1, 1
Let p(w) be the second derivative of -3/20*w**5 + 0*w**2 - 1/2*w**4 - 1/2*w**3 - w + 0. Factor p(i).
-3*i*(i + 1)**2
Find f such that -1/2*f**3 + 0*f + 0 - 1/8*f**2 = 0.
-1/4, 0
Let u = 9 + -6. Factor 22*l - l**u - 22*l.
-l**3
Suppose 5*q + 3*o = 4 - 18, -4*o = 4*q + 16. Let f be (3 + -3)/(1*q). Factor -1/3 + f*z + 1/3*z**2.
(z - 1)*(z + 1)/3
Let m(v) be the third derivative of -v**8/1680 - v**7/525 - v**6/600 - 11*v**2. Factor m(u).
-u**3*(u + 1)**2/5
Let w(t) be the third derivative of -t**5/140 - t**4/7 - 8*t**3/7 - 8*t**2. What is n in w(n) = 0?
-4
Let n(h) be the third derivative of h**5/15 - h**4/6 - 4*h**3/3 + 9*h**2. Solve n(r) = 0 for r.
-1, 2
Let r(u) be the third derivative of 0 - 1/12*u**6 - 1/12*u**4 + 0*u + u**2 + 2/105*u**7 + 0*u**3 + 2/15*u**5. Factor r(p).
2*p*(p - 1)**2*(2*p - 1)
Factor -4/5*l + 6/5 + 2/15*l**2.
2*(l - 3)**2/15
Let w(s) = -2*s**2 - 5*s + 7. Let f(t) = 2*t**2 + 6*t - 8. Let g(u) = -3*f(u) - 4*w(u). Find a such that g(a) = 0.
-2, 1
Find j, given that 16/5 + 2/5*j**2 - 12/5*j = 0.
2, 4
Let r be ((-26)/12)/((-22)/(-44)) - -5. Determine l so that 4/3*l - 2 + r*l**2 = 0.
-3, 1
Let i = 22/35 - -82/315. Factor 4/9 + 2/9*t**3 + i*t**2 + 10/9*t.
2*(t + 1)**2*(t + 2)/9
Suppose -122*x + 118*x + 8 = 0. What is m in 8/7*m**x + 8/7*m**3 + 0*m + 0 + 2/7*m**4 = 0?
-2, 0
Let p(s) = 2*s**3 - 18*s**2 + 52*s - 28. Let r(o) = -2*o**3 + 18*o**2 - 53*o + 27. Let l(b) = 5*p(b) + 4*r(b). Let l(d) = 0. What is d?
1, 4
Let h(u) be the first derivative of u**6/840 - u**4/168 - 3*u**2/2 + 6. Let q(o) be the second derivative of h(o). Factor q(k).
k*(k - 1)*(k + 1)/7
Let u(g) be the third derivative of g**8/840 - g**6/150 + g**4/60 - 21*g**2. What is k in u(k) = 0?
-1, 0, 1
Factor 2*s**3 - 9*s**2 + s**4 + 7*s**3 + 0*s**4 - 4*s**4 + 3*s.
-3*s*(s - 1)**3
Let g(p) = 15*p**3 - 2*p**2 + 11*p + 2. Let a(y) = -7*y**3 + y**2 - 5*y - 1. Let m(z) = 13*a(z) + 6*g(z). Factor m(l).
-(l - 1)**2*(l + 1)
Let a = 33 - 29. Determine x, given that 1/4*x + 0*x**2 + 0*x**a - 1/2*x**3 + 1/4*x**5 + 0 = 0.
-1, 0, 1
Let k(q) be the third derivative of q**8/672 - q**6/240 + q**2. Determine u, given that k(u) = 0.
-1, 0, 1
Let a(m) = m**2 - 60*m + 5. Let h(o) = 2*o**2 - 60*o + 6. Let v(k) = -6*a(k) + 5*h(k). Factor v(d).
4*d*(d + 15)
Let i(a) = -a + 4. Let j be i(0). Find y, given that j*y**2 - 20*y**2 - 9*y + 13*y**2 = 0.
-3, 0
What is q in 0*q**2 - 1/6*q + 0*q**4 + 0 + 1/3*q**3 - 1/6*q**5 = 0?
-1, 0, 1
Let s be (9/2)/((-36)/366). Let g = s - -46. Factor -1/4*t + 0 - g*t**2.
-t*(t + 1)/4
Let c(u) be the third derivative of u**6/40 - u**5/20 - u**4/2 + 2*u**3 + 6*u**2. Factor c(r).
3*(r - 2)*(r - 1)*(r + 2)
Let l(q) = -4*q - 9. Let t be l(-9). Let k be 6/t - (-34)/9. Solve -k*n + 4*n - 2*n**2 = 0.
0
Factor 0 + 63/2*u**2 + 3/2*u**4 - 12*u**3 - 27*u.
3*u*(u - 3)**2*(u - 2)/2
Let n(d) be the third derivative of 0 + 0*d**7 + 1/1512*d**8 + 0*d**3 - 5*d**2 + 0*d**4 - 1/180*d**6 - 1/135*d**5 + 0*d. Find h such that n(h) = 0.
-1, 0, 2
Let v(k) = -4*k**3 - k**2 - 2*k - 1. Let h be v(-1). Determine b, given that 0*b + 0 + 0*b**3 + 2/3*b**h - 2/3*b**2 = 0.
-1, 0, 1
Let -2/3*y - 7*y**3 - 5/3*y**5 - 11/3*y**2 + 0 - 17/3*y**4 = 0. What is y?
-1, -2/5, 0
Suppose -3*m = -2*b - 33 - 14, 3*b + 33 = 2*m. Let a = 33/2 - m. Solve -3*o**3 + 3*o**2 - 3/2 - 3/2*o**4 + 3/2*o + a*o**5 = 0.
-1, 1
Let p(y) be the second derivative of 2*y**7/77 - y**6/15 + 5*y**4/33 - 2*y**3/11 + y**2/11 + 6*y. Find i such that p(i) = 0.
-1, 1/3, 1/2, 1
Let v(b) be the second derivative of b**4 - b**3 - 12*b**2 + 5*b. Let c(u) = u**3 - 37*u**2 + 19*u + 73. Let f(h) = 3*c(h) + 8*v(h). Solve f(q) = 0 for q.
-1, 3
Let w(q) be the first derivative of 1/3*q**6 + 4*q**2 + 4/5*q**5 - 3/2*q**4 + 0*q - 8/3*q**3 - 2. Suppose w(c) = 0. What is c?
-2, 0, 1
Let s(g) be the first derivative of -4*g**3/21 + 2*g**2/7 + 8*g/7 - 3. Factor s(i).
-4*(i - 2)*(i + 1)/7
Let z(n) be the first derivative of 25*n**4/32 + 5*n**3/4 - 9*n**2/4 + n - 43. Solve z(g) = 0.
-2, 2/5
Suppose -4*g = -4*h + 8, -5*h - g = -0*h + 2. Let k = h - -5. Determine j so that j**4 + 1/2*j**k + 0 - j**2 + 0*j**3 - 1/2*j = 0.
-1, 0, 1
Let a(d) be the second derivative of -d**6/150 + d**5/100 + d**4/60 - d**3/30 + 4*d. Let a(g) = 0. Calculate g.
-1, 0, 1
Suppose n + a = 6*a - 16, n + a - 8 = 0. Let -16/3*j**2 - 2/3*j**n + 8/3*j + 0 + 10/3*j**3 = 0. Calculate j.
0, 1, 2
Let h be 4/202 - 0/(-1). Let y = 95/303 + h. Find q such that -y*q**3 + 0 + 4/3*q**2 - 4/3*q = 0.
0, 2
Let q(y) = -y - 5. Let t be q(-7). Determine d so that -1 - 1 - 13*d**2 + 12*d**t - 3*d = 0.
-2, -1
Let v(g) = -g**3 + 4*g**2 - 4. Let m be v(3). Let r**3 - 4*r**2 + 3*r**2 - r**m + r**4 + 3 - 3 = 0. What is r?
-1, 0, 1
Factor 2/9*j**2 - 16/9 - 4/9*j.
2*(j - 4)*(j + 2)/9
Let x(g) be the first derivative of -9/2*g**4 - 3