actor 10*q + 6*q**3 + 15*q**2 + 6*q**3 - 7*q**3.
5*q*(q + 1)*(q + 2)
Suppose 4 = x, 2*z + 14 = 5*x - 6. Suppose z = -0*r - 3*r + c - 5, 10 = -3*r + 2*c. Solve -2/5*n**3 + 1/5*n**4 + r + 0*n + 1/5*n**2 = 0.
0, 1
Let n = 5 + -1. Find o, given that -o**2 + o**3 + 0*o**2 + 4*o**2 - o**n + 4*o - 4 - 3*o**3 = 0.
-2, 1
Determine l, given that -8/7*l**4 + 18/7*l - 18/7*l**3 + 4/7*l**2 + 4/7 = 0.
-2, -1, -1/4, 1
What is k in 0*k**3 + 0*k + 0*k**4 + 0*k**2 + 0 - 1/3*k**5 = 0?
0
Let p(y) be the second derivative of 0 + 1/60*y**4 + 3*y + 0*y**3 + 0*y**2 - 1/100*y**5. What is x in p(x) = 0?
0, 1
Let t be 8/(-20) - 13/(-20). Let z(w) = -w**2 + w. Let y be z(1). Factor 1/4*m**2 - t*m**3 + y*m + 0.
-m**2*(m - 1)/4
Factor 4*v**4 + 26*v + 3*v**5 + 3 + 6*v**3 - 6*v**2 - 6*v**5 - v**4 - 29*v.
-3*(v - 1)**3*(v + 1)**2
Let t(y) be the second derivative of 7*y**6/120 - 11*y**5/20 + 25*y**4/16 - 23*y**3/12 + y**2 - 9*y. Solve t(m) = 0 for m.
2/7, 1, 4
Let x be 3/9*(-3 - 0). Let u be -2 + 0 + (x - -4). Factor 1/2*l**2 - 1/2*l - u.
(l - 2)*(l + 1)/2
Let q(p) be the second derivative of -1/28*p**7 - 97/120*p**5 + 0 - 47/36*p**4 - 11/9*p**3 - p - 2/3*p**2 - 4/15*p**6. Let q(t) = 0. Calculate t.
-2, -1, -2/3
Let l be (-3)/15*(-3 + -2). Let a(o) be the first derivative of -l + 2/21*o**3 + 2/7*o + 2/7*o**2. Solve a(m) = 0.
-1
Factor 3/2*i**4 - 27/2*i**2 + 0 - 15/2*i - 9/2*i**3.
3*i*(i - 5)*(i + 1)**2/2
Determine h so that -3*h**4 - 9*h**3 + 3*h**2 + 27*h + 0*h**2 - 18*h = 0.
-3, -1, 0, 1
Let f(n) be the second derivative of -1/12*n**4 + 1/20*n**5 + 0 + 1/2*n**2 - 2*n - 1/6*n**3. Suppose f(s) = 0. What is s?
-1, 1
Suppose 0*o - 4 = 2*o. Let h be o/10 + 27/45. Factor 2/5*u + 0 - h*u**2.
-2*u*(u - 1)/5
Let h(d) be the second derivative of -9*d**6/40 + 9*d**5/16 + 2*d**4 + 3*d**3/2 - 3*d - 4. What is l in h(l) = 0?
-2/3, 0, 3
Factor 2 - 39*c + 9*c**2 + 1 + 48*c + 3*c**3.
3*(c + 1)**3
Let g(y) be the first derivative of -5*y**3/3 + 55*y**2 - 605*y - 22. Factor g(v).
-5*(v - 11)**2
Suppose t = 2*t - 49. Determine p so that -28*p**2 + 9*p + t*p**2 - 24*p**2 + 12 = 0.
-1, 4
Factor 0*f + 0 + 2/7*f**2 - 2/7*f**3.
-2*f**2*(f - 1)/7
Factor 1/3*x**2 - 4/3 + 0*x.
(x - 2)*(x + 2)/3
Let 8 + 2*w**3 - 2*w**4 + 8*w**4 - 6*w**3 + 2*w**5 - 14*w**2 + 2*w**3 = 0. What is w?
-2, -1, 1
Factor 1/2*c**5 - 2*c**2 - 2*c + 2*c**4 + 3/2*c**3 + 0.
c*(c - 1)*(c + 1)*(c + 2)**2/2
Find u, given that -1/6*u + 1/6*u**2 - 1/3 = 0.
-1, 2
Let y be (-11)/(-4) + 2/8. Let -3*z**4 - z**5 - 6*z**y + 4*z**3 + 0*z**4 + 0*z**5 = 0. What is z?
-2, -1, 0
Let c(z) = -2*z + 3*z**2 + 0*z**2 - 7*z**2 + 3*z**2. Let t = 10 + -21. Let v(s) = -5*s**2 - 10*s. Let m(y) = t*c(y) + 2*v(y). Factor m(u).
u*(u + 2)
Let o(i) = -i**2 + 16*i - 28. Let j be o(14). Find b, given that 1/3*b**3 - 2/3*b**2 + 0*b + j = 0.
0, 2
Suppose 0 = l + 2*d + 9 - 1, -4*d - 14 = 3*l. Factor 2/3*b**2 + 4/3 - l*b.
2*(b - 2)*(b - 1)/3
Let t be 1504/(-3055) - 12/(-15). Factor -2/13*d**3 - t*d**2 + 2/13*d**4 + 0*d + 0.
2*d**2*(d - 2)*(d + 1)/13
Let t(r) = -36*r**3 + 48*r**2 + 44*r + 3. Let d(y) = -180*y**3 + 240*y**2 + 220*y + 16. Let u(f) = 5*d(f) - 24*t(f). Find o, given that u(o) = 0.
-1/3, 2
Let g(w) be the third derivative of -w**6/960 + w**4/192 - w**2 + 10. Factor g(m).
-m*(m - 1)*(m + 1)/8
Let x(h) be the first derivative of -h**5/5 + h**4/2 - h**3/3 + 7. Factor x(a).
-a**2*(a - 1)**2
Let o = -2 + 4. Factor p**3 + 0 + o*p + 0 - 1 + p**4 - 3*p**3.
(p - 1)**3*(p + 1)
Let p(u) be the first derivative of -3*u**5/5 - 3*u**4/2 + 3*u**2 + 3*u + 6. What is i in p(i) = 0?
-1, 1
Let f = -187 + 383/2. Let q(w) be the first derivative of f*w**2 + 4*w**3 + 1 + 2*w + 5/4*w**4. Find c, given that q(c) = 0.
-1, -2/5
Let u(j) be the first derivative of -j**4 + 4*j**3 - 16*j + 22. Determine a, given that u(a) = 0.
-1, 2
Factor -2/23*z**3 + 2/23*z - 4/23*z**2 + 4/23.
-2*(z - 1)*(z + 1)*(z + 2)/23
Let v be 4 - 11*3/(-36)*-4. Let f(u) be the second derivative of -1/5*u**5 + v*u**3 + 0 + 1/21*u**7 + u + 0*u**2 + 0*u**6 + 0*u**4. Find p, given that f(p) = 0.
-1, 0, 1
Let f(v) = v**3 - 16*v**2 - 3*v + 53. Let p be f(16). Factor 0*q - 5/4*q**p + 3*q**4 + 0 - 9/4*q**3 + 1/2*q**2.
-q**2*(q - 1)**2*(5*q - 2)/4
Determine n, given that 6/17*n**4 - 6/17*n**2 - 4/17*n + 2/17*n**3 + 2/17*n**5 + 0 = 0.
-2, -1, 0, 1
Let k = -452 - -1809/4. Find t such that 1/4*t**2 + 1/2*t + k = 0.
-1
Let q(w) be the second derivative of w**4/60 - w**3/30 + 37*w. Let q(b) = 0. Calculate b.
0, 1
Let o(x) = x**3 - 5*x**2 + 6*x - 5. Let m be o(4). Let r be 5 - 1 - m/3. Factor -k**3 + 3*k - r*k - k**2.
-k**2*(k + 1)
Let n be (0 + -2)/(2/(-2)). Factor -89*u**2 + 42*u**3 - 8 + 48*u + 0 + 7*u**n.
2*(u - 1)*(3*u - 2)*(7*u - 2)
Let s(a) = 8*a - 13. Let i be s(2). Let p(o) be the second derivative of 0 - i*o + 0*o**2 + 1/2*o**5 + 7/6*o**4 + 2/3*o**3. Solve p(l) = 0.
-1, -2/5, 0
Suppose -6*h = -3*h + 9. Let n = -3 - h. Find b such that n + 0*b + 0*b**2 - 2/7*b**3 = 0.
0
Let k(i) be the third derivative of 2*i**7/105 + i**6/24 - i**5/20 - 5*i**4/24 - i**3/6 - 33*i**2. Factor k(w).
(w - 1)*(w + 1)**2*(4*w + 1)
Let b be (6/(-5))/(20/(-50)). Factor m**4 - b*m**2 + 0*m**2 - 3*m**3 - 2*m**4 + 3*m + 4*m**4.
3*m*(m - 1)**2*(m + 1)
Let t = 75 - 224/3. Factor 0*d**2 + 1/3*d**4 - 2/3*d + 2/3*d**3 - t.
(d - 1)*(d + 1)**3/3
Let j(u) be the first derivative of u**6/21 + 2*u**5/35 - u**4/7 - 16. Factor j(n).
2*n**3*(n - 1)*(n + 2)/7
Suppose -6 - 4 = -5*c. Factor f**2 + 7*f**4 - c*f + 10*f**3 + 2*f**4 + f**2 - 3*f**4.
2*f*(f + 1)**2*(3*f - 1)
Let v(f) be the second derivative of 4*f**6/15 - 3*f**5/10 - f**4/6 + 12*f. What is x in v(x) = 0?
-1/4, 0, 1
Factor 0*j + 0 + 1/7*j**5 + 6/7*j**4 + 0*j**2 + 9/7*j**3.
j**3*(j + 3)**2/7
Suppose -4*r - y + 25 = 4, -6 = r - 2*y. Let c be 9/9*r/2. Factor 1/2*b**c - 1 - 1/2*b.
(b - 2)*(b + 1)/2
Let f be (-66*(-4)/16)/3. Let a(k) be the first derivative of -4 - 9/5*k**5 - f*k**2 + 15/4*k**4 + 11/3*k**3 + 2*k. Find y, given that a(y) = 0.
-1, 1/3, 2
Let j(s) be the third derivative of -s**5/300 + s**4/60 + 3*s**2. Factor j(r).
-r*(r - 2)/5
Let n(b) be the third derivative of b**6/210 + b**5/105 - 45*b**2. Factor n(a).
4*a**2*(a + 1)/7
Let v be (-12)/(-2) + (-58)/10. Let f(c) be the first derivative of 0*c + 4 - 4/5*c**3 - v*c**2 - 16/25*c**5 - 6/5*c**4. Determine m so that f(m) = 0.
-1/2, 0
Let w(d) be the second derivative of -d**6/120 + d**5/20 - d**4/12 - 6*d. Determine m, given that w(m) = 0.
0, 2
Determine i so that 677*i**2 - 10*i - 737*i**2 - 2*i - 21*i**4 - 69*i**3 = 0.
-2, -1, -2/7, 0
Factor 300*x**4 - 195*x**3 - 249*x**3 + 104*x**3 - 16*x + 15*x**2 + 113*x**2.
4*x*(3*x - 1)*(5*x - 2)**2
Let h be (6/10)/((-1)/(-10)). Let i = 12 - h. Factor -i + 2*p**3 + 6 + 2*p - 4*p**2.
2*p*(p - 1)**2
Let u = 16 - 8. Factor -8*q - 2*q**3 + 5*q**3 - 14 - q + u.
3*(q - 2)*(q + 1)**2
Suppose -3*f - 8 = -7*f. Determine j, given that 31*j**2 + j + 3*j**3 - 12*j**2 - 15*j**f = 0.
-1, -1/3, 0
Let k(r) = -4*r**2 - 3*r - 12. Suppose -3*h + 0 = 9. Let s(c) = -3*c**2 - 4*c - 11. Let g(y) = h*s(y) + 2*k(y). Suppose g(w) = 0. What is w?
-3
Factor -c**4 + 0*c**4 + 5*c**3 + 2*c**4 + 4*c**2.
c**2*(c + 1)*(c + 4)
Let t = -9 - -12. Suppose 0*k + t*k = 12. Let 0 + 3/2*h**3 + 4*h**2 - 2*h - 9/2*h**k = 0. Calculate h.
-1, 0, 2/3
Let a(h) be the first derivative of -3 + 0*h**2 + 1/16*h**4 + 1/6*h**3 - 1/20*h**5 + 0*h. Determine g so that a(g) = 0.
-1, 0, 2
Let i(l) = l**3 + 7*l**2 - 8*l + 4. Let f be i(-8). What is b in -18*b**2 - b**4 + 5*b**f - 3*b + 14*b**2 + b + 2*b**3 = 0?
-1, -1/2, 0, 1
Let r(t) = -4*t - 7. Let x be r(-5). Let b = 15 - x. Factor 1 + v + 1/4*v**b.
(v + 2)**2/4
Let z(n) be the first derivative of n**4/2 + 28*n**3/15 + 9*n**2/5 - 34. What is g in z(g) = 0?
-9/5, -1, 0
Let u(x) be the third derivative of -1/300*x**5 - 8/15*x**3 + 0*x - 1/15*x**4 + 0 + 3*x**2. Determine b so that u(b) = 0.
-4
Suppose 0 = -4*q + q. Let b = -55 - -57. Factor q*i + 0 - 2/7*i**b.
-2*i**2/7
Let x(s) be the first derivative of -2/27*s**3 + 0*s - 1/18*s**4 + 1/9*s**2 + 2/45*s**5 - 3. Factor x(a).
2*a*(a - 1)**2*(a + 1)/9
Let q be ((-4)/16)/(1/(-2)). Let o(m) be the first derivative of -2/3*m - 1/9*m**3 + 1 - q*m**2. Factor o(t).
-(t + 1)*(t + 2)/3
Let d(c) be the first derivative of 3*c**4/4 + 15*c**3 + 225*c**2/2 + 375*c - 7. Fa