 = 7. Suppose -4*c - 2*m = -6, 2*m + 21 = n*c - 3*c. Determine h, given that -1/3*h**2 - 1/3*h**c + 0*h + 0 = 0.
-1, 0
Suppose -2*w - 2*w = 4*o, 4*o + 9 = -w. Let n be (1/w)/((-12)/(-18)). Determine a, given that 1/2*a**4 + 1/2*a**5 + 0*a + 0 - 1/2*a**2 - n*a**3 = 0.
-1, 0, 1
Factor 2*l**2 - 8/3 - 4/3*l**3 + 8/3*l - 2/3*l**4.
-2*(l - 1)**2*(l + 2)**2/3
Factor 10*g**4 + 7*g**3 - 6*g**4 + g**3 + 4*g**2.
4*g**2*(g + 1)**2
What is x in 1/6*x**4 + 1/6*x - 1/6*x**3 - 1/6*x**2 + 0 = 0?
-1, 0, 1
Let d(h) be the first derivative of 0*h + 1/300*h**5 - 1 + 1/900*h**6 + 0*h**2 + 0*h**4 - 1/3*h**3. Let f(l) be the third derivative of d(l). Factor f(n).
2*n*(n + 1)/5
Factor 1/2*a**3 - 3/4*a**4 + 1/4*a**2 + 0*a + 0.
-a**2*(a - 1)*(3*a + 1)/4
Let d be (17 - 15) + -1*16/10. Suppose -4/5 - d*u**2 + 6/5*u = 0. What is u?
1, 2
Solve 3*k + 0*k**2 + k - 16*k**4 + 8*k**3 + 36*k**3 + 4 - 36*k**2 = 0 for k.
-1/4, 1
Let c(q) be the second derivative of 0*q**4 - 3*q + 0 + 2*q**2 + 1/10*q**5 - q**3. Factor c(p).
2*(p - 1)**2*(p + 2)
Suppose 3*y - 25 = -2*y. Suppose 3*o - 5*s = 9 + 26, -o + y*s = -25. Factor 5*n**3 - 2*n**5 - o*n**3 + 2*n**3.
-2*n**3*(n - 1)*(n + 1)
Let w = 56 - 54. Find o such that 2/3*o**w - o - 2/3 = 0.
-1/2, 2
Suppose 2*d - 11 = -1, 0 = -4*l + 4*d - 4. Let c(j) be the first derivative of 0*j**l - j + 2/3*j**3 - 3 - 1/5*j**5 + 0*j**2. Determine o so that c(o) = 0.
-1, 1
Suppose -2*q = 3*m + 2*m - 65, 5*q = -2*m + 47. Let h be (-1)/(-3) + m/3. Factor 2*j - j**3 + 4*j**4 - 2*j**h - 2*j**2 - j**3.
2*j*(j - 1)**2*(j + 1)
Let i(q) be the first derivative of -q**3/18 + 2*q/3 - 5. Let i(m) = 0. Calculate m.
-2, 2
Let y(s) be the third derivative of -s**5/180 - 7*s**4/36 - 49*s**3/18 - 5*s**2. Solve y(r) = 0 for r.
-7
Let o(f) be the first derivative of -2/45*f**5 + 1/18*f**4 + 0*f - 1/9*f**2 + 2/27*f**3 - 1. Factor o(t).
-2*t*(t - 1)**2*(t + 1)/9
Let b(c) be the third derivative of -1/1008*c**8 + 0*c**4 + 1/360*c**6 + 0*c - 1/630*c**7 + 1/180*c**5 + 0*c**3 + 0 - c**2. Factor b(u).
-u**2*(u - 1)*(u + 1)**2/3
Let r be (-2 + 5)*(1 - (-3 - -3)). Determine h, given that -4/13 - 18/13*h - 10/13*h**2 + 18/13*h**r + 14/13*h**4 = 0.
-1, -2/7, 1
Let x(o) be the second derivative of -o**5/5 - 2*o**4/3 + 14*o**3/3 - 8*o**2 - 10*o. Determine s so that x(s) = 0.
-4, 1
Let w(s) = -s - 2. Let x be w(0). Let o be (6/(-3))/(x + 1). Factor -6*r**3 - 2*r**5 + 3*r + 7*r**5 - o*r**5.
3*r*(r - 1)**2*(r + 1)**2
Factor 3/2*u**2 + 1/2*u**3 + 0*u + 0.
u**2*(u + 3)/2
Suppose -4*b - 516 = 4*u, 2*u - 3*u + 3*b = 149. Let a = -529/4 - u. Solve 5/4*w**3 + 1/4*w**4 + 9/4*w**2 + 1/2 + a*w = 0.
-2, -1
Let k(h) be the second derivative of h**8/2688 + h**7/720 + h**6/720 - h**4/2 + 5*h. Let p(b) be the third derivative of k(b). Determine q so that p(q) = 0.
-1, -2/5, 0
Let r(i) be the second derivative of -i**7/126 - i**6/15 - 13*i**5/60 - i**4/3 - 2*i**3/9 + 7*i. Let r(x) = 0. Calculate x.
-2, -1, 0
Factor -3/2*y + 1 + 0*y**2 + 1/2*y**3.
(y - 1)**2*(y + 2)/2
Determine z so that -z + 3*z**2 - 4*z**2 - z**3 - z**2 = 0.
-1, 0
Let d(f) be the first derivative of f**6/18 - f**5/15 - f**4/2 + 14*f**3/9 - 11*f**2/6 + f + 14. Factor d(k).
(k - 1)**4*(k + 3)/3
Let z be -1 - ((-1)/(-4))/(35/(-1148)). Solve 4/5*b**2 + z + 24/5*b = 0 for b.
-3
Let n(w) be the first derivative of 1 - 1/20*w**5 - 1/6*w**4 + 0*w**2 - 1/6*w**3 + w. Let u(a) be the first derivative of n(a). Factor u(x).
-x*(x + 1)**2
Let z(s) be the first derivative of -34*s**3/9 - 5*s**2 + 4*s/3 + 3. Factor z(p).
-2*(p + 1)*(17*p - 2)/3
Let c = -276/17 + 5779/68. Factor 105/2*j**2 + 2 + 17*j + 125/4*j**4 + c*j**3.
(j + 1)*(5*j + 2)**3/4
Let n(q) be the first derivative of -5*q**4/4 + 10*q**3/3 - 5*q**2/2 + 9. Factor n(w).
-5*w*(w - 1)**2
Let g(s) = 3*s**3 + 4*s**2 - 4*s - 4. Let k(h) = -2*h**3 - 3*h**2 + 3*h + 3. Let t(a) = -3*g(a) - 4*k(a). Determine p so that t(p) = 0.
0
Solve 0 - 4/7*c - 2/7*c**2 = 0.
-2, 0
Let -25*b**2 - 3*b**3 - b**3 + 8*b**2 + 13*b**2 = 0. What is b?
-1, 0
Let g be (-8084)/(-10899) + (-16)/56. Let o = g + -2/173. Suppose o*v**2 + 0*v**3 + 0*v - 2/9 - 2/9*v**4 = 0. What is v?
-1, 1
Let s(y) = 3*y**4 + 5*y**3 + 18*y**2 + 18*y + 6. Let z(p) = 13*p**4 + 19*p**3 + 72*p**2 + 71*p + 23. Let l(v) = -9*s(v) + 2*z(v). Factor l(d).
-(d + 1)*(d + 2)**3
Factor -12*k**2 + 80 + 4*k**3 + 12*k - 41 - 43.
4*(k - 1)**3
Let d be (-379)/2555 - (-12)/21. Let a = d - -2/365. Suppose 6/7*f - 3/7*f**2 - a = 0. What is f?
1
Factor -4/7 + 2*r - 10/7*r**2.
-2*(r - 1)*(5*r - 2)/7
Let j(s) be the second derivative of -s**7/735 - s**6/140 - s**5/105 - s**2 - s. Let h(l) be the first derivative of j(l). Solve h(v) = 0 for v.
-2, -1, 0
Let c be 3/(-4)*310/93 + 4. Find f such that -1/2*f**2 + c - f = 0.
-3, 1
Factor 1/7*f - 1/7*f**4 - 1/7*f**3 + 1/7*f**2 + 0.
-f*(f - 1)*(f + 1)**2/7
Let p(g) be the second derivative of g**6/105 - g**5/35 + g**4/42 - 12*g. Factor p(m).
2*m**2*(m - 1)**2/7
Let v(q) be the first derivative of -q**2 + 0*q - 3 + 2/3*q**3. Suppose v(o) = 0. What is o?
0, 1
Let f(m) = 0*m + 3*m - 2 - m + 0. Let j be f(2). Solve -2*l**j + 6*l**5 - 2*l**4 + 0*l**2 + 4*l**4 + 2*l**5 - 8*l**3 = 0.
-1, -1/4, 0, 1
Let x = -491/196 + 1/196. Let y = 3 + x. Factor 1/4*f**3 + 1/4*f + y*f**2 + 0.
f*(f + 1)**2/4
Let p(a) be the third derivative of a**5/20 + a**4/2 + 2*a**3 + 11*a**2. Find s such that p(s) = 0.
-2
Let y(v) be the second derivative of v**5/70 - v**4/42 - v**3/21 + v**2/7 + 5*v. Factor y(r).
2*(r - 1)**2*(r + 1)/7
Let h = 15 - 20. Let y(n) = -4*n - 16. Let a be y(h). Determine c so that -8/9*c**5 + 0 + 0*c + 0*c**a - 2/9*c**2 + 2/3*c**3 = 0.
-1, 0, 1/2
Let h(p) be the third derivative of 1/360*p**6 + 4*p**2 + 0*p**4 + 1/630*p**7 + 0*p + 0 + 0*p**3 - 1/90*p**5. Suppose h(b) = 0. What is b?
-2, 0, 1
Let v(s) be the second derivative of s**7/2520 - s**5/120 + s**4/6 + 4*s. Let g(q) be the third derivative of v(q). Factor g(j).
(j - 1)*(j + 1)
Let d be (-5 - -1)/((-4)/(-24)). Let a be ((-6)/(-4))/((-9)/d). Factor -c**a - c**3 + 4*c - 4*c + c + c**2.
-c*(c - 1)*(c + 1)**2
Determine y, given that -y**3 - 3 + 113*y + 2*y**2 - 54*y + 1 - 58*y = 0.
-1, 1, 2
Let h be 58*5/(-75) + 4. Let t(w) be the first derivative of 0*w**2 - 2/9*w**3 + 1 + 0*w - 1/6*w**4 + 1/9*w**6 + h*w**5. Let t(o) = 0. Calculate o.
-1, 0, 1
Let q(u) be the second derivative of 1/8*u**3 - 3/16*u**4 - 2*u + 1/4*u**2 + 0. Find t, given that q(t) = 0.
-1/3, 2/3
Let s be (4/(-8))/(12/(-6)). Factor s*f**2 + 1/4*f + 0.
f*(f + 1)/4
Solve -2*n**2 - 2 + 3*n + 0 + 4*n - 3*n = 0.
1
Let w = -165 - -96. Let l = 211/3 + w. Suppose 2*g + 1/6*g**3 + l + g**2 = 0. What is g?
-2
Let a(s) be the first derivative of 2*s**6/45 - s**5/60 + 2*s + 1. Let p(r) be the first derivative of a(r). Factor p(l).
l**3*(4*l - 1)/3
Let x(z) = z**5 - z**4 - z**3 + z**2 - z + 1. Let y(q) = -9*q**5 + 19*q**4 + 23*q**3 - 3*q**2 + 13*q - 11. Let o(f) = -22*x(f) - 2*y(f). Factor o(a).
-4*a*(a + 1)**4
Factor -2/9*h + 0 + 0*h**4 + 4/9*h**3 + 0*h**2 - 2/9*h**5.
-2*h*(h - 1)**2*(h + 1)**2/9
Suppose -2*p = 5*g + 2*p - 27, 0 = -3*g + 3*p. Suppose -3*r = -2*r. Determine y so that 0*y - 2/9*y**2 + r + 2/3*y**g = 0.
0, 1/3
Let k = -383 - -386. Suppose 0 - 2/7*w**k - 2/7*w**2 + 2/7*w + 2/7*w**4 = 0. What is w?
-1, 0, 1
Suppose 3*m - 14 = 25. Let a = m - 10. Factor 1/2*i**a + 1/2*i**4 + 0*i + 0*i**2 + 0.
i**3*(i + 1)/2
Suppose -h - 13 = -2*x, 23 = x + x - 3*h. Let s(g) be the second derivative of -g - 1/6*g**3 + 1/60*g**5 + 0 + 0*g**x - 1/3*g**2. Determine i so that s(i) = 0.
-1, 2
Let j be ((-6)/16)/(60/(-8)). Let z(t) be the second derivative of -j*t**5 - t + 0*t**4 + 1/6*t**3 + 0*t**2 + 0. Find q such that z(q) = 0.
-1, 0, 1
Let n be 3/(-2)*30/(-9). Factor 2*s + s**2 - 3*s**4 - s**3 - 2*s**2 + 3*s**2 - s**n + s**2.
-s*(s - 1)*(s + 1)**2*(s + 2)
Let s(j) be the first derivative of j**4/30 - 3. Let s(u) = 0. Calculate u.
0
Let h(s) = -38*s**4 - 10*s**3 - 23*s**2 - 17. Let u(f) = 13*f**4 + 3*f**3 + 8*f**2 + 6. Let r(w) = 6*h(w) + 17*u(w). What is q in r(q) = 0?
-1, -2/7, 0
Suppose 4*f - 2*w - 16 = 0, 0 = -2*f - w - 0*w + 8. Let s = 0 - -2. Solve 14*u**f + 49/5*u**5 + 0 + 4/5*u - 4*u**s - 3/5*u**3 = 0 for u.
-1, 0, 2/7
Suppose 5*p - 4*a - 22 = -0*a, 3*a + 9 = 0. Let r be (p - 2)/(-1 - -3). Find q, given that 2/5*q**4 - 2/5*q**5 