 + 13/4*c**2 - 5/4*c**4 = 0. What is c?
-4, -2, -1, 1
Let q(l) = -2*l**3 + l**2 + 19*l - 3. Let y be q(-3). Let o(n) be the first derivative of 0*n**2 + 2/3*n**y + 4 - 8*n. Factor o(t).
2*(t - 2)*(t + 2)
Let i = -64 - -66. Factor 6 + i*p**2 + 18*p**3 + 2*p**4 - 14*p**3 - 4*p - 10*p**2.
2*(p - 1)**2*(p + 1)*(p + 3)
Let i(t) be the third derivative of t**6/24 - 79*t**5/60 + 59*t**4/24 + 5*t**3/2 - 338*t**2 + 1. Suppose i(m) = 0. What is m?
-1/5, 1, 15
Let u = 62 + -52. What is p in u*p**4 - 5*p**3 - 4*p**2 - 4*p**2 - 2*p**2 + 5*p**5 + 0*p**4 = 0?
-2, -1, 0, 1
Let p(o) be the second derivative of -o**6/6 - o**5/2 + 5*o**3/3 + 5*o**2/2 + 70*o. Factor p(z).
-5*(z - 1)*(z + 1)**3
Let l(y) be the third derivative of y**8/1008 - y**7/63 + y**6/12 - 2*y**5/9 + 25*y**4/72 - y**3/3 + 87*y**2 + 2. Factor l(g).
(g - 6)*(g - 1)**4/3
Let b(l) be the second derivative of l - 2/3*l**4 + 3*l**2 - 5/3*l**3 + 0. Let q(k) = k**2 + k. Let w(x) = b(x) + 6*q(x). What is d in w(d) = 0?
-3, 1
Let k(g) be the second derivative of 0 + 1/12*g**4 + 8/15*g**3 - 1/4*g**5 - 4*g + 2/5*g**2. Factor k(c).
-(c - 1)*(5*c + 2)**2/5
Let r(y) = -2*y**3 - y**2 + y. Let g(x) = 9*x**4 - 88*x**3 + 92*x**2 + 65*x - 28. Let l(b) = -g(b) + 5*r(b). Determine w, given that l(w) = 0.
-2/3, 1/3, 2, 7
Let v = -553/5 - -111. Let h be ((3 - 5) + 1)*0. Find a such that 0*a**2 + 0*a + h - v*a**3 = 0.
0
Suppose 2*j = -0*j. Factor -6*a**2 + 5*a**3 - 4*a + j*a**3 + 0 + 8 - a**4 + 0*a**3.
-(a - 2)**3*(a + 1)
Suppose -14*k + 9 = -11*k. Factor -2*t**3 - 3*t**3 - t + 3*t**3 + k*t**3.
t*(t - 1)*(t + 1)
Suppose f - 5 = m, 68*m = 73*m + 25. Factor 4/7*t - 8/7*t**2 + f*t**3 - 4/7*t**5 + 8/7*t**4 + 0.
-4*t*(t - 1)**3*(t + 1)/7
Factor 100/13*n**2 + 194/13*n + 2/13*n**3 + 96/13.
2*(n + 1)**2*(n + 48)/13
Suppose -v + 21 = 3*r - 0*v, 0 = r + 3*v - 15. Let o be 4 - 2 - r/3. What is p in -p + 3*p - p - p**2 + o*p = 0?
0, 1
Solve -5/2*a**3 + 5*a**2 + 5/2*a - 5 = 0 for a.
-1, 1, 2
Suppose -w = v - 2*v, 5*v + 2*w = 0. Let z(h) be the first derivative of 0*h**3 + 3 + 1/20*h**4 + 0*h**2 + v*h. Factor z(p).
p**3/5
Let o = 111 - 165. Let f be 2/1 + -5 + (-186)/o. Let -2/9*m**2 + f + 2/9*m = 0. What is m?
-1, 2
Suppose 7*t + 0 - 14 = 0. Let u be t + (-1 - 2) + 4. Find h, given that -h**u - 18*h - 6*h**2 - 8 + 8*h - 2*h = 0.
-2
Suppose -384*b**3 + 20*b - 45*b**2 - 5*b**4 + 206*b**3 + 208*b**3 = 0. What is b?
0, 1, 4
Let p be 19/6 + (4/2)/(-12). Let s(d) be the first derivative of 1/3*d**2 - 2/9*d + p - 2/9*d**3 + 1/18*d**4. Find m, given that s(m) = 0.
1
Let n be (-198)/(-15) - 6/30. Find b, given that 8*b**2 + 1 - 15*b + 18 + 1 - n*b**2 = 0.
-4, 1
Let o(d) = -3*d - 76. Let g be o(-26). Let n be (g - (5 + 3))/(-14). Factor -3/7 - n*k**3 + 3/7*k**2 + 3/7*k.
-3*(k - 1)**2*(k + 1)/7
Let f(r) be the first derivative of r**6/80 + r**5/180 - r**4/16 - r**3/18 - 9*r**2/2 + 2. Let q(j) be the second derivative of f(j). Factor q(v).
(v - 1)*(v + 1)*(9*v + 2)/6
Let a(j) be the first derivative of -j**5/5 - 11*j**4/4 - 3*j**3 + 11*j**2/2 + 10*j - 67. What is s in a(s) = 0?
-10, -1, 1
Let t be (-2)/(-8)*(5302/7557 - 2). Let s = 2/229 - t. Find j such that -s*j**2 - 4/3 - 4/3*j = 0.
-2
Let m(a) be the third derivative of a**6/24 + 7*a**5/12 - 106*a**2. Suppose m(b) = 0. What is b?
-7, 0
Let c(x) = -5*x - 1. Let r be c(-1). Let 6*z**3 + 4*z**4 + 3*z**2 + 4*z**r - 5*z**4 = 0. What is z?
-1, 0
Let q(n) be the third derivative of -2*n**7/105 - 2*n**6/15 - n**5/3 - n**4/3 - 25*n**2. Let q(r) = 0. Calculate r.
-2, -1, 0
Let c(b) be the first derivative of -2*b**3/9 + b**2 - 361. Factor c(q).
-2*q*(q - 3)/3
Determine m so that 0*m**3 - 2*m**3 + 0*m**3 - 4*m**2 = 0.
-2, 0
Let m(i) be the third derivative of -i**5/15 + 7*i**4/3 - 22*i**3 + 4*i**2 - 96*i. Factor m(z).
-4*(z - 11)*(z - 3)
Let x(m) be the third derivative of m**9/5040 + m**8/1120 - m**6/120 - m**5/40 + m**4 + 2*m**2. Let u(i) be the second derivative of x(i). Factor u(r).
3*(r - 1)*(r + 1)**3
Suppose 0*o + 0 + 5/4*o**5 - 95/2*o**4 + 95/2*o**2 - 5/4*o**3 = 0. Calculate o.
-1, 0, 1, 38
Let q(l) be the second derivative of -4*l - 2/9*l**2 + 0 + 1/27*l**3 + 1/27*l**4 - 1/90*l**5. Factor q(c).
-2*(c - 2)*(c - 1)*(c + 1)/9
Let n = -80 - -44. Let g be (n/27)/(14/(-3)). Factor g*y + 1/7*y**2 - 3/7.
(y - 1)*(y + 3)/7
Let a(o) be the second derivative of -27*o**5/160 - 159*o**4/32 - 103*o**3/16 - 51*o**2/16 - o - 27. Solve a(d) = 0 for d.
-17, -1/3
Let q = 607/916 - -20/229. Let p(k) be the first derivative of 0*k - 2/3*k**3 + 0*k**5 - q*k**4 + 0*k**2 + 5 + 1/6*k**6. Factor p(l).
l**2*(l - 2)*(l + 1)**2
Let l be 0 - -3 - ((-147)/(-15) + -7). Determine y so that 3/5*y + 0 - l*y**2 = 0.
0, 3
Let v(h) = -56*h**4 - 36*h**3 + 40*h**2 + 36*h + 16. Let t(m) = -11*m**4 - 7*m**3 + 8*m**2 + 7*m + 3. Let i = 8 - 24. Let y(u) = i*t(u) + 3*v(u). Factor y(r).
4*r*(r - 1)*(r + 1)*(2*r + 1)
Let n(k) be the second derivative of k**4/24 - k**3/2 + 2*k**2 + 2*k + 31. What is y in n(y) = 0?
2, 4
Factor 52/5*r**2 - 196/5 - 4/5*r**3 - 28*r.
-4*(r - 7)**2*(r + 1)/5
Factor -2*q**2 + 40 - 110 + 46 - q**3 + 20*q.
-(q - 2)**2*(q + 6)
Suppose 2*a - 2*x - 8 = -0*x, -5*a + 24 = -x. Suppose 0 = 4*l + a - 13. Factor 11*d + 21*d + 6 + 58 + 4*d**l.
4*(d + 4)**2
Factor 2/9*u**2 + 0 + 12*u.
2*u*(u + 54)/9
Let w(d) be the third derivative of -3*d**8/560 + d**7/140 - d**6/240 + d**5/60 - 17*d**2. Let p(q) be the third derivative of w(q). Let p(l) = 0. What is l?
1/6
Let b(h) = h**3 - 5*h**2 + 24*h - 16. Let q(x) = x**2. Let j(v) = -3*b(v) + 12*q(v). Factor j(y).
-3*(y - 4)**2*(y - 1)
Factor 340*n**4 - 5*n**2 - 5*n**5 - 20*n**5 + 16*n**2 + 3*n**2 + 139*n**3.
-n**2*(n - 14)*(5*n + 1)**2
Let u(h) be the second derivative of -h**4/18 + 29*h**3/9 - 18*h**2 + h - 64. Factor u(x).
-2*(x - 27)*(x - 2)/3
Suppose 73*o - 200 - 9 = 10. Factor 0*j - 2/3*j**4 + 0*j**o + 2/3*j**2 + 0.
-2*j**2*(j - 1)*(j + 1)/3
Let y be (-10)/45 - 220/(-18). Suppose y = -4*v - 3*j + 7*j, -j + 5 = 0. Factor s**2 - 4 + 9*s**v + 15*s + 4 + 5.
5*(s + 1)*(2*s + 1)
Let m(g) = 3*g**3 + 7*g**2 + 2*g. Let v(j) = -3*j**3 - 8*j**2 - 2*j. Suppose 0 = -3*x - 1 + 19. Let k be 26/x + 3/(-9). Let w(c) = k*v(c) + 6*m(c). Factor w(a).
2*a*(a + 1)*(3*a + 2)
Factor -4/5*r**2 + 1/5*r**4 + 0 - 4/5*r + 1/5*r**3.
r*(r - 2)*(r + 1)*(r + 2)/5
Let d(l) be the first derivative of -l**3/2 + 21*l**2/4 + 12*l - 139. Factor d(f).
-3*(f - 8)*(f + 1)/2
Suppose -3*y + 5*v - 3 = 0, -2*y = v - 2 + 4. Let l be (6 - 7)/(y + (-1)/(-2)). Factor 6/7*d**l + 0 - 2/7*d + 8/7*d**3.
2*d*(d + 1)*(4*d - 1)/7
Let c = 7/69 - -13/23. Let -4/3*l - c*l**2 - 2/3 = 0. What is l?
-1
Suppose 5*m**2 + 41 - 18*m - 41 - 2*m**2 = 0. Calculate m.
0, 6
Suppose 0 = -24*j + 37*j - 52. Let o(a) be the second derivative of 3/2*a**2 + 1/4*a**j + 0 + a**3 - 5*a. Let o(l) = 0. What is l?
-1
Let b(x) = -x**2 + 7*x - 4. Let o(j) = -j**2. Let i(t) = t**3 - 3*t**2. Let r(m) = i(m) - 4*o(m). Let s(w) = -b(w) + r(w). Let s(g) = 0. Calculate g.
-4, 1
Let u(n) be the first derivative of 6/5*n**3 + 21 + 3/5*n**4 - 6/25*n**5 - 24/5*n - 12/5*n**2. Determine v so that u(v) = 0.
-1, 2
Let f(u) = u**2 + 38*u - 123. Let a be f(3). Let m(c) be the second derivative of -1/16*c**4 + 0 + 1/4*c**3 - 6*c + a*c**2. Solve m(n) = 0 for n.
0, 2
Let o(i) = 16*i + 898. Let z be o(-56). Let w(p) be the first derivative of -8 - 1/9*p**3 + p - 1/3*p**z. Find n such that w(n) = 0.
-3, 1
Let z be (-13)/(-6) - (-46)/92. Let t be 94/9 + 2/9. Suppose -32/3*u + 0*u**2 + z*u**3 - 2/3*u**4 + t = 0. Calculate u.
-2, 2
Let v = -97 + 100. Find u, given that 4*u**3 + 2*u**3 + 2*u**4 - 6*u**2 + 2*u**v - 4*u**4 = 0.
0, 1, 3
Suppose -23/4*x**2 + 9/4*x**4 - 3/2 + 31/4*x - 51/4*x**3 = 0. What is x?
-1, 1/3, 6
Let c be -66*(-1)/28*(-16)/(-168)*14. Factor 0 - c*j**2 + 4/7*j + 24/7*j**3 + 18/7*j**4.
2*j*(j + 2)*(3*j - 1)**2/7
Suppose -2*f + 28 = 12. Suppose -s + 8 = w, -f = -2*s - 5*w + 23. Factor -6*r**s + 2*r**4 - 4*r**4 + 2*r**3.
-2*r**3*(r + 2)
Let x(h) be the first derivative of 0*h + 0*h**2 + 5/4*h**4 + 2*h**5 - 5 + 5/6*h**6 + 0*h**3. Factor x(v).
5*v**3*(v + 1)**2
Suppose -p + 2*b + 13 = 0, -p - 2 = -b - 15. Let y = 15 - p. Factor -10*i**y + 2 + 2 - 4*i**3 - 6 - 8*i.
-2*(i + 1)**2*(2*i + 1)
Let z(m) be the second derivative of -m**6/2 + 13*m**5/4 - 95*m**4/12 + 55*m**3/