= -o**2 - 3*o + 2. Let m be q(-3). Suppose -12 = -4*j + 2*j + 5*y, -m*j = y. Determine f so that -12*f + j + 15*f + f**2 + 1 = 0.
-2, -1
Let x(v) = -v**2 + 9*v - 6. Let o be x(7). Let d = o + -3. What is n in 2*n**3 - d*n**3 + n**2 - 3*n**2 - n**2 - n**4 - n = 0?
-1, 0
Suppose -1 - 2 = -d. Let v(a) be the first derivative of 1/3*a**d - 3/10*a**5 + 1 + 1/2*a - 1/12*a**6 + 3/4*a**2 - 1/4*a**4. Solve v(w) = 0.
-1, 1
Find b such that 0*b**2 - 2/3*b**3 - 4/3 + 2*b = 0.
-2, 1
Let q(p) = 3*p**3 - 2*p**2 - p + 4. Let v(x) = -1 + 1 + 2*x**3 - 3*x**3 - 1. Let n(t) = -q(t) - 4*v(t). Factor n(c).
c*(c + 1)**2
Suppose -9 = 5*r + 11. Let a be r/12 + (-14)/(-24). Factor -1/4 - 1/2*s - a*s**2.
-(s + 1)**2/4
Let a(g) be the second derivative of 7/30*g**4 - 5*g + 2/15*g**3 + 0 + 0*g**2. Factor a(k).
2*k*(7*k + 2)/5
Let q(p) be the second derivative of -p**4/54 - 4*p**3/27 - p**2/3 - 32*p. Factor q(v).
-2*(v + 1)*(v + 3)/9
Determine v, given that 6*v**4 - 3*v**5 + 6 - 24*v**2 + 5*v + 16*v - 12 + 6*v**3 = 0.
-2, 1
Let q be -45*(1 - (-8)/(-6)). Let r be (-10)/q - 400/(-6). Factor 3*m - 1 - 63*m**3 + r*m**2 - 6 + 1 + 0*m.
-3*(m - 1)*(3*m - 1)*(7*m + 2)
Find c, given that -15/4*c - 5/2 - 5/4*c**2 = 0.
-2, -1
Let o(w) = -3*w - 9. Let b be o(-5). Determine y so that 3*y + 0*y - 4*y**4 + 10*y**4 - b*y**2 - 3*y**5 = 0.
-1, 0, 1
Let g(p) be the third derivative of -46/15*p**5 + 63/10*p**6 + 2/3*p**4 + 0*p + 0*p**3 + 0 - 91/15*p**7 - p**2 + 49/24*p**8. Factor g(f).
2*f*(f - 1)*(7*f - 2)**3
Let d(x) = -15*x**3 + 29*x**2 - 6*x. Let g(n) = n**2 + n. Let i(v) = -d(v) + 4*g(v). Factor i(z).
5*z*(z - 1)*(3*z - 2)
Let j = 1328 - 1324. Find f such that 1/4*f**j + 0 - 1/4*f**2 - 1/4*f**3 + 1/4*f = 0.
-1, 0, 1
Let n(k) = 15*k**2 + 30*k - 33. Let x(o) = -6*o**2 - 12*o + 13. Let d(p) = -5*n(p) - 12*x(p). Suppose d(b) = 0. What is b?
-3, 1
Let y(u) be the third derivative of u**8/672 + u**7/420 - u**6/80 - u**5/120 + u**4/24 - 39*u**2. What is l in y(l) = 0?
-2, -1, 0, 1
Let q(h) be the first derivative of -5*h**3/3 - 15*h**2/2 - 10*h + 11. Factor q(i).
-5*(i + 1)*(i + 2)
Let t(p) be the third derivative of 0*p + 1/60*p**5 + 0 - 2*p**2 - 1/12*p**4 + 0*p**3. Factor t(i).
i*(i - 2)
Let n = 582 - 582. Factor 0*k**2 + 0 + n*k**3 + 0*k - 1/3*k**5 + 1/3*k**4.
-k**4*(k - 1)/3
Let -c**3 - 4*c**4 + 4*c**3 + 2*c - 2*c**5 + 4*c**2 - 3*c**3 = 0. Calculate c.
-1, 0, 1
Determine j so that 0*j**3 + 2 + 3*j - 6*j**2 + 3*j**2 + 2*j**3 - 4*j**3 = 0.
-2, -1/2, 1
Suppose 0 = 22*m - 24*m + 4. Find o, given that -6/5*o**3 + 0*o - 4/5*o**m - 2/5*o**4 + 0 = 0.
-2, -1, 0
Let m(o) be the first derivative of 2 - 1/6*o**3 + 0*o + 0*o**2. Factor m(a).
-a**2/2
Factor -16*j + 11*j + 5*j - 2*j**2 + 2*j**3.
2*j**2*(j - 1)
Let p(f) be the first derivative of 1/2*f**2 - 2*f - 2 + 1/3*f**3. Let p(k) = 0. What is k?
-2, 1
Let u(r) be the second derivative of r**4/48 + r**3/12 - 5*r. What is v in u(v) = 0?
-2, 0
Let m(r) be the third derivative of r**7/98 - 11*r**6/840 + r**5/210 + 10*r**2. Factor m(n).
n**2*(3*n - 1)*(5*n - 2)/7
Let v(w) be the second derivative of w**5/20 + 11*w**4/6 + 121*w**3/6 - 56*w. Suppose v(q) = 0. What is q?
-11, 0
Suppose 0 = -4*f - 0*f + 4*o + 16, 3*f + 4 = -5*o. Let -4/3 - 1/3*m**f + 8/3*m - 5/3*m**3 + 1/3*m**5 + 1/3*m**4 = 0. Calculate m.
-2, 1
Solve 2/5*d**2 + 4/5*d + 0 = 0.
-2, 0
Let s(j) be the third derivative of 0*j**3 - 1/30*j**6 - 5*j**2 + 4/15*j**5 - 2/3*j**4 + 0*j + 0. Factor s(p).
-4*p*(p - 2)**2
Let g(d) be the first derivative of -d**6/12 + d**5/5 - d**4/8 - 12. Factor g(t).
-t**3*(t - 1)**2/2
Let x(f) be the second derivative of -f**7/105 - f**6/30 - f**5/30 - f**2/2 - 2*f. Let c(o) be the first derivative of x(o). Factor c(i).
-2*i**2*(i + 1)**2
Let m(i) be the first derivative of -1/4*i**4 - i**3 - 5 - i - 3/2*i**2. Solve m(k) = 0.
-1
Let n be 4/12*(-156)/(-4). Suppose f = -3*w + 13, 0 = -0*w + 3*w. Suppose 6*x**4 + f - n + 2*x**3 = 0. What is x?
-1/3, 0
Suppose -5*w = -31*m + 32*m + 8, 0 = -3*m + 4*w + 14. Determine y so that 4 - 2*y + 1/4*y**m = 0.
4
Let y(m) be the third derivative of 0*m + 0 + 0*m**3 + 1/30*m**5 + 1/6*m**4 - 3*m**2. Suppose y(c) = 0. What is c?
-2, 0
Let x(u) be the third derivative of -u**6/120 + u**5/15 + 15*u**2. Solve x(c) = 0.
0, 4
Let l(q) = q**2 + 1. Let o(i) = -9*i**2 - 6*i - 12. Let b(f) = -12*l(f) - o(f). Factor b(h).
-3*h*(h - 2)
Suppose -2*t = 2*t - 8. Let q be 4/(-10) + ((-692)/(-80) - 8). Factor -q*h**t - 1/4*h + 0.
-h*(h + 1)/4
Factor 0 - 3/2*r**3 - 3/2*r**4 - 1/2*r**2 + 0*r - 1/2*r**5.
-r**2*(r + 1)**3/2
Let a be 1/(-2)*(-5 + 1). Let o**3 + o + 3*o**3 - 3*o**3 - 2*o**a = 0. What is o?
0, 1
Factor -1/5*f**2 - 4/5 - 4/5*f.
-(f + 2)**2/5
Let g be (-301)/(-1892) - (-1)/11. Factor j - 1 - g*j**2.
-(j - 2)**2/4
Let b(t) be the third derivative of -t**8/2184 + 2*t**7/1365 + t**6/260 - 2*t**5/195 - t**4/39 - 2*t**2. What is n in b(n) = 0?
-1, 0, 2
Let f(b) be the second derivative of 3*b**5/20 + 7*b**4/12 - 23*b**3/6 - 2*b. Let d(m) = -2*m**3 - 3*m**2 + 12*m. Let c(u) = 5*d(u) + 3*f(u). Solve c(j) = 0.
0, 3
Let y = -1557/2 + 753. Let o = 26 + y. Factor -o*u - 1/2*u**2 + 0.
-u*(u + 1)/2
Let m(p) be the second derivative of 4*p**5/15 + p**4/9 - p**3/9 - 9*p. Suppose m(x) = 0. Calculate x.
-1/2, 0, 1/4
Let h(q) be the first derivative of q**5/15 - q**4/12 - q**3/3 + q**2/6 + 2*q/3 + 11. Factor h(r).
(r - 2)*(r - 1)*(r + 1)**2/3
Determine j, given that 1/4*j**3 + 0*j - 1/4*j**2 + 0 = 0.
0, 1
Factor 0*d + 0*d**2 + 0 + 2/11*d**3.
2*d**3/11
Suppose 0*t - 2 = -2*t. Let b(j) be the first derivative of -1/4*j**2 - 1/12*j**3 - 1/4*j - t. Solve b(a) = 0.
-1
Let a = 17 + -25. Let n be (-7 - a) + (-1)/3. Let 0 + 0*p - n*p**2 = 0. Calculate p.
0
Let o(t) be the third derivative of 1/15*t**5 + 0*t + 4*t**2 + 1/12*t**4 + 0*t**3 + 1/60*t**6 + 0. Determine x so that o(x) = 0.
-1, 0
Let g(s) be the first derivative of -2*s**6/21 - 2*s**5/7 + s**4/14 + 2*s**3/3 + s**2/7 - 4*s/7 - 9. Suppose g(l) = 0. Calculate l.
-2, -1, 1/2, 1
Let v = 788644 + -582019427/738. Let k = 1/82 - v. Find u such that k*u**3 + 0*u + 0 + 0*u**2 = 0.
0
Let g(i) be the first derivative of 4/3*i**3 + i**2 - i**4 - 2 - 2/5*i**5 + 1/3*i**6 - 2*i. Suppose g(q) = 0. What is q?
-1, 1
Let k(l) be the third derivative of 0*l + 2/9*l**3 + 1/90*l**5 + 0 - 1/12*l**4 - 4*l**2. What is g in k(g) = 0?
1, 2
Let l be (0*8/16)/(4/2). Determine c so that -2/5*c**5 + 2/5*c**2 + 0 - 6/5*c**3 + l*c + 6/5*c**4 = 0.
0, 1
Suppose 2*i - 24 = -0*i. Let 4*m**3 - 231*m**4 - i*m**2 - 14*m**3 - 147*m**5 - 86*m**3 = 0. Calculate m.
-1, -2/7, 0
Let w(q) be the first derivative of -1/11*q**2 + 2*q - 1/11*q**3 + 3/110*q**5 + 1/66*q**4 + 2. Let v(c) be the first derivative of w(c). Factor v(m).
2*(m - 1)*(m + 1)*(3*m + 1)/11
Suppose -3*y + 4 + 5 = 0. Solve y*k + 3*k - k - 2*k**2 - 7*k = 0.
-1, 0
Factor -3 - 15*d - 75/4*d**2.
-3*(5*d + 2)**2/4
Suppose -2 = 2*d - n, 2*n - 2 - 9 = -3*d. Let a(b) be the first derivative of b**2 - 2/9*b**3 - 4/3*b + d. Factor a(v).
-2*(v - 2)*(v - 1)/3
Let y(q) = q**2 - q. Let s be y(2). Suppose 4*x - 15 = -5*o + s*x, o - 3 = -3*x. Factor -10/7*l**o + 2/7*l**4 + 18/7*l**2 + 4/7 - 2*l.
2*(l - 2)*(l - 1)**3/7
Let o(a) be the first derivative of 2/7*a**3 + 1/21*a**6 - 6/35*a**5 + 1/14*a**4 + 0*a - 2/7*a**2 - 4. Find t, given that o(t) = 0.
-1, 0, 1, 2
Let y = 8/15 - -4/5. Let n be (2/(-1))/(0 - 6). Determine s so that y - 4/3*s + n*s**2 = 0.
2
Let t(l) be the second derivative of -l**8/10080 - l**7/3780 + l**4/4 - 3*l. Let y(q) be the third derivative of t(q). Solve y(a) = 0 for a.
-1, 0
Let v(o) = 2*o**2 + 4*o - 1. Let u be v(-3). Suppose u*p - 2*p = 9. Solve 2/7*f**4 + 0*f + 0 + 0*f**2 - 2/7*f**p = 0 for f.
0, 1
Let g(x) be the first derivative of -x**3/3 + x**2 - x - 2. Let t be g(1). Determine l so that 3*l**3 + l**2 + 0*l**2 + t*l**3 + 2*l**4 = 0.
-1, -1/2, 0
Let b(c) be the second derivative of -1/42*c**4 + 1/105*c**6 + 1/70*c**5 + 0 + c + 0*c**3 - 1/147*c**7 + 0*c**2. Solve b(o) = 0.
-1, 0, 1
Let 8*s**3 + 41*s**2 + 4*s**4 - 25*s**2 - 50*s**3 + 8*s + 14*s**5 = 0. Calculate s.
-2, -2/7, 0, 1
Let b(o) be the first derivative of 0*o**2 + 6 + 1/18*o**6 + 1/3*o**3 + 1/3*o**5 + 0*o + 7/12*o**4. What is h in b(h) = 0?
-3, -1, 0
Let r(k) be the first derivative of -1/3*k**2 - 1 + 2/3*k + 1/6*k**4 - 2/