3, -3/4
Let l be ((-4)/2)/(2 + 0). Let p(x) = -3*x**3 + x**2 - x - 2. Let u be p(l). Factor 6*v**3 + 2*v**4 - 4*v + 0*v**3 - 2*v**u - 2.
2*(v - 1)*(v + 1)**3
Suppose 2*f = l + 5, -l + 5 = 4. Let a(w) be the first derivative of 0*w**4 - 2/3*w**3 + 0*w + 2/15*w**5 + f + 2/3*w**2. Suppose a(v) = 0. Calculate v.
-2, 0, 1
Factor -1/2*k**4 - 3*k**3 + 2*k**2 + 1/2*k**5 + 4*k + 0.
k*(k - 2)**2*(k + 1)*(k + 2)/2
Let z(k) be the third derivative of -k**11/166320 - k**10/37800 - k**9/30240 - 4*k**5/15 - 6*k**2. Let g(t) be the third derivative of z(t). Factor g(d).
-2*d**3*(d + 1)**2
Let k(o) = o**2 + o - 2. Let x(p) = 4*p**2 + 5*p - 8. Let g = 7 + -16. Let d(r) = g*k(r) + 2*x(r). Factor d(w).
-(w - 2)*(w + 1)
Let b = -8719/2 + 4360. Factor b*z + 0 - 1/6*z**2.
-z*(z - 3)/6
Suppose 251*c = 257*c - 36. Solve 0 + c*a**2 + 3/2*a**3 - 15/2*a = 0.
-5, 0, 1
Suppose x - 4 = -0. Let w(i) = 8*i**2 - 3. Let q(j) = 9*j**2 - 4. Let d(t) = x*w(t) - 3*q(t). Factor d(u).
5*u**2
Factor -324/5*x - 153/5*x**2 - 22/5*x**3 + 0 - 1/5*x**4.
-x*(x + 4)*(x + 9)**2/5
Let y(r) be the third derivative of -r**5/180 - 5*r**4/72 - 109*r**2. Factor y(l).
-l*(l + 5)/3
Let v(t) = 231*t + 2081. Let k be v(-9). Factor 2/3 - 4/3*n**3 + 2/3*n**4 - 4/3*n**k + 2/3*n**5 + 2/3*n.
2*(n - 1)**2*(n + 1)**3/3
Let j be ((-6)/(-10))/(-1) + 178/5. Factor 20 - j + 35 - 15*z**3 - 35*z**2.
-5*(z + 1)*(z + 2)*(3*z - 2)
Let 5*r**5 - 4*r**4 + r**4 - 12*r**5 + 4*r**5 + 6*r**3 = 0. What is r?
-2, 0, 1
Let k(m) = -11 + 14*m - 5*m**2 - 9 + 6. Let s(h) = 15*h + 417 - 857 + 425 - 6*h**2. Let a(t) = -3*k(t) + 2*s(t). Factor a(d).
3*(d - 2)**2
Let v(a) be the first derivative of -a**4/9 - 64*a**3/27 + 2*a**2/9 + 64*a/9 + 51. Find z, given that v(z) = 0.
-16, -1, 1
Let k(x) be the second derivative of x**5/70 + x**4/21 - 4*x**3/21 - 8*x**2/7 + 180*x. Let k(l) = 0. Calculate l.
-2, 2
Let a = 278 - 274. Let k(n) be the first derivative of 1/2*n**a + 0*n + 0*n**3 - n**2 + 4. Factor k(g).
2*g*(g - 1)*(g + 1)
Let r = 1294 + -6469/5. What is f in 1/5*f - r*f**2 + 2/5 = 0?
-1, 2
Let b be (-3)/((-720)/321) + 4/(-3). Let d(n) be the third derivative of 5*n**2 - 1/32*n**4 + 1/12*n**3 + 0*n + 0 + b*n**5. Find k, given that d(k) = 0.
1, 2
Let a(m) = -m**4 + m**3 + m + 2. Let c(q) = 6*q**4 - 14*q**3 + 6*q**2 + 14*q - 8. Let n(v) = -4*a(v) - c(v). Factor n(z).
-2*z*(z - 3)**2*(z + 1)
Let h be (-776)/(-70) - (5 - 132/28). Let g = h + -10. Let -s**2 + 0 - 1/5*s - g*s**3 = 0. Calculate s.
-1, -1/4, 0
Let m(p) be the first derivative of 1/4*p**2 - 1/12*p**6 - 7 + 0*p**4 - 1/3*p**3 + 1/5*p**5 + 0*p. Let m(o) = 0. Calculate o.
-1, 0, 1
Let z(r) be the first derivative of 0*r**2 + 0*r - 8 + 1/4*r**5 - 5/16*r**4 + 0*r**3. Factor z(h).
5*h**3*(h - 1)/4
Suppose -4*q + 5 + 7 = -2*t, 0 = 2*t. Let u be (-2)/(-36)*-50 + q. Determine w, given that 2/3*w**2 - u*w**3 - 4/9*w + 0 = 0.
0, 1, 2
Factor -10*q**4 - 18*q**3 - 4*q + 842 - 842 - 14*q**2 - 2*q**5.
-2*q*(q + 1)**3*(q + 2)
Let c(z) be the third derivative of z**7/3150 + 4*z**6/225 + 32*z**5/75 - 9*z**4/8 + 3*z**2 - 2*z. Let f(m) be the second derivative of c(m). Factor f(n).
4*(n + 8)**2/5
Let s(m) = 2*m**3 - 2*m**2 + 5*m - 16. Let c be s(3). Let n be (-14)/c*(-1)/3. Let 0 + 2/15*q**3 - n*q**2 - 4/15*q = 0. Calculate q.
-1, 0, 2
Let a(q) be the first derivative of 5*q**4/4 - 25*q**3/3 + 20*q**2 - 20*q - 52. Factor a(w).
5*(w - 2)**2*(w - 1)
Solve -15/7 + 1/7*t**3 - 13/7*t**2 - 29/7*t = 0 for t.
-1, 15
Let w be 27/36 - (399/(-132))/19. Suppose 4/11*o - 14/11*o**4 + 0 + 6/11*o**3 + 14/11*o**2 - w*o**5 = 0. What is o?
-1, -2/5, 0, 1
Let l(g) be the third derivative of g**7/1680 + 13*g**6/960 + g**5/10 + 3*g**4/16 + 2*g**2 - 125. Factor l(j).
j*(j + 1)*(j + 6)**2/8
Let n(y) be the second derivative of y**7/27 - 22*y**6/27 + 166*y**5/45 - 116*y**4/27 - 32*y**3/9 - 2*y + 5. Let n(k) = 0. Calculate k.
-2/7, 0, 2, 12
Let k(v) be the first derivative of -1/3*v**6 - 2*v**4 - 8/5*v**5 + 5*v**2 + 4/3*v**3 + 4*v + 13. Determine c so that k(c) = 0.
-2, -1, 1
Let s(w) be the first derivative of -w**3/3 + 63*w**2/10 + 26*w/5 - 165. Solve s(c) = 0.
-2/5, 13
Factor -73 + 34*m - 323 - 410*m + 16 + 4*m**2.
4*(m - 95)*(m + 1)
Let v(i) = 3*i**3 + 164*i**2 + 161*i. Let z(m) = -15*m**3 - 657*m**2 - 642*m. Let k(w) = 9*v(w) + 2*z(w). Suppose k(q) = 0. What is q?
-1, 0, 55
Let v(b) be the second derivative of -b**5/15 + 7*b**4/9 - 10*b**3/3 + 6*b**2 - 61*b. Factor v(m).
-4*(m - 3)**2*(m - 1)/3
Let a(x) be the second derivative of x**4/8 + 5*x**3/4 - 111*x. Let a(p) = 0. Calculate p.
-5, 0
Let k = -4051/3 + 1351. Let a(u) be the first derivative of -1/3*u**4 + k*u**2 + 0*u + 14/15*u**5 - 14/9*u**3 - 1. Solve a(o) = 0.
-1, 0, 2/7, 1
Suppose 12*i = 15*i - 177. Let b = i - 31. Factor p**4 - 12*p - 4*p**5 + 0*p**5 - 25*p**4 - 40*p**2 - 20*p**3 - b*p**3.
-4*p*(p + 1)**3*(p + 3)
Let c(d) = -d**3 + 19*d**2 - 38*d + 70. Let t be c(17). What is n in -2/7*n**t - 1/7*n**3 + 0 - 1/7*n = 0?
-1, 0
Let k(m) be the third derivative of -m**7/630 - 7*m**6/90 - 49*m**5/30 + 3*m**4/2 + 21*m**2. Let a(j) be the second derivative of k(j). Factor a(q).
-4*(q + 7)**2
Let o(u) = 5*u**3 + 28*u**2 - 54*u - 177. Let t(v) = -10*v**3 - 55*v**2 + 110*v + 355. Let m(n) = 5*o(n) + 3*t(n). Factor m(f).
-5*(f - 3)*(f + 2)*(f + 6)
Let m(g) be the second derivative of 0*g**2 + 0 - g - 3/10*g**5 - 1/30*g**6 - 3/4*g**4 + 0*g**3. Solve m(l) = 0 for l.
-3, 0
Find d, given that -64/11*d - 6/11*d**4 - 2 + 64/11*d**3 + 28/11*d**2 = 0.
-1, -1/3, 1, 11
Let u(x) = -8*x**2 + 4*x**3 - 4*x**2 - 2*x - 5 + 10*x**2. Let d(z) = z**3 - z**2 - 1. Let l(f) = 15*d(f) - 3*u(f). Factor l(r).
3*r*(r - 2)*(r - 1)
Let a(g) be the first derivative of 5*g**3/3 - 45*g**2/2 - 50*g - 468. What is w in a(w) = 0?
-1, 10
Solve 2/9*f**3 + 14/3*f + 0 + 44/9*f**2 = 0 for f.
-21, -1, 0
Let 108*c - 2*c**4 + 5*c**4 - 11*c**2 + 41*c**2 - 702 + 534 - 27*c**3 = 0. Calculate c.
-2, 2, 7
Suppose -3*h + 12 = -0*h. What is o in 8*o**4 + 3*o - 6*o**4 - 6*o**2 + 5*o - 3 - o**h = 0?
-3, 1
Let w(k) be the second derivative of -3*k**5/160 + 7*k**4/16 - 35*k**3/16 + 33*k**2/8 + 147*k - 1. Factor w(p).
-3*(p - 11)*(p - 2)*(p - 1)/8
Let c be 163/35 - 105/(-735). Suppose -8*k + 18 = -6. Find d such that 21/5*d**4 - 33/5*d**2 + 3*d**5 + c*d - 39/5*d**k + 12/5 = 0.
-2, -1, -2/5, 1
Suppose 2/3*y**4 + 56/3*y**3 + 32 + 244/3*y + 202/3*y**2 = 0. What is y?
-24, -2, -1
Suppose 4*o = 3*o. Let p(u) = 5*u**2 - u. Let c be p(1). What is l in 5*l**2 - 5*l**2 - l**3 + l + l**c + o*l - l**2 = 0?
-1, 0, 1
Let v(z) = 3*z**5 - 10*z**4 + 3*z**3 + 2*z. Let d(u) = -u**5 - u**5 + 3*u**5 + 15*u - 16*u + u**3. Let h(f) = -2*d(f) - v(f). Determine a, given that h(a) = 0.
0, 1
Let x(a) be the first derivative of 5/4*a**2 + 2*a + 1/6*a**3 - 5. Suppose x(d) = 0. Calculate d.
-4, -1
Let l(y) = -14*y**4 + 16*y**3 + 8*y**2 - 13*y - 9. Let w(g) = g**4 - g**3 + g + 1. Let p = -2 + 0. Let v(i) = p*l(i) - 18*w(i). Let v(x) = 0. What is x?
-1, 0, 2/5, 2
Suppose k - 5 = 5*t, -8*t - 4*k - 10 = -6*k. Let y(v) be the first derivative of t*v**3 + 0*v - 1/11*v**4 + 0*v**2 + 2/55*v**5 - 4. Factor y(l).
2*l**3*(l - 2)/11
Let a(y) be the first derivative of y**6/1980 + y**5/660 - y**4/66 - 17*y**3/3 - 17. Let n(d) be the third derivative of a(d). Factor n(z).
2*(z - 1)*(z + 2)/11
Let o = -221/12 + 75/4. Factor 1/3*s**4 + o*s**2 - 2/3*s**3 + 0 + 0*s.
s**2*(s - 1)**2/3
Let i be (-2)/8*(63 + -75). Factor 0 - 9/4*t - 3/4*t**i + 3*t**2.
-3*t*(t - 3)*(t - 1)/4
Factor -75*c**2 + 23*c**2 + 17*c**2 - 69*c + 23*c**2 + 15*c**2 - 150.
3*(c - 25)*(c + 2)
Let r = 2431/2 + -1213. Let -r*x**3 - 9/2*x - 6*x**2 - 1 = 0. What is x?
-1, -2/5
Let a(n) = -3*n**2 - 4*n + 2*n**2 - 5*n + 8*n + 6. Let q be a(0). Suppose 6*t + 4 - 2*t**2 - 2*t - q*t = 0. What is t?
-2, 1
Factor -4425*h + 4362*h + 27*h**2 + 11*h**3 + 33 - 8*h**3.
3*(h - 1)**2*(h + 11)
Suppose 2*w = 2*l - 2, 3*l - 13 = -3*w + 2*l. Factor 10 - 20*d**w + 4*d**5 + 4*d**2 + 535*d + 6 - 503*d - 4*d**4.
4*(d - 2)**2*(d + 1)**3
Let f be (-2)/(-3*(-6)/(-27)). Let q(y) be the third derivative of 0*y + 1/4*y**4 - 2/3*y**f - 1/60*y**6 + y**2 + 0*y**5 + 0. Factor q(x).
-2*(x - 1)**2*(x + 2)
Let u = -31 + 43. Determine k so that 14*k + 3*k**3 - 8*k - 3*k**2 - u*k = 0.
-1, 0, 2
Let r be -6 + 5 - ((-2)/3 - 1). Factor r*k**2 