 + 386 - 386. Let -1/5*x**5 + b - 4/5*x**2 - 6/5*x**3 - 1/5*x - 4/5*x**4 = 0. What is x?
-1, 0
Let h(q) be the third derivative of 0*q + 1/360*q**5 + 9*q**2 + 0 + 0*q**4 - 1/36*q**3. Factor h(a).
(a - 1)*(a + 1)/6
Factor 9*w**2 + 6*w**2 - 8*w**2 + 14*w - 8*w**2 - 13.
-(w - 13)*(w - 1)
Let c(b) be the third derivative of b**7/1680 - b**6/480 - b**5/160 - 42*b**2. Solve c(q) = 0.
-1, 0, 3
Let z be (1 + -2)*(-6 + 4). Let f(h) be the second derivative of 0*h**4 + 0 + 0*h**2 + 1/120*h**5 + 0*h**3 - z*h. Suppose f(m) = 0. What is m?
0
Factor 2/11*b**3 + 4 - 86/11*b + 40/11*b**2.
2*(b - 1)**2*(b + 22)/11
Let r be ((-5)/(-15)*6 - 3)*0. Let l(u) be the first derivative of r*u + u**2 + 7 + 1/3*u**3. Factor l(y).
y*(y + 2)
Let k(y) = y**3 + 19*y**2 - 12*y - 58. Let p be k(-19). Let j = p + -506/3. Find c, given that j*c**3 + 4/3*c**2 + 4 - 20/3*c = 0.
-3, 1
Find u such that 27/5*u**3 + 6/5*u**5 - 63/5*u**4 + 0 + 0*u + 6*u**2 = 0.
-1/2, 0, 1, 10
Let r(o) be the third derivative of -5/6*o**4 + 50/3*o**3 + 0 + 19*o**2 + 1/60*o**5 + 0*o. Factor r(s).
(s - 10)**2
Find c, given that -11/9*c**2 - 1/9*c**3 - 25/9 - 35/9*c = 0.
-5, -1
Let t(o) = -6*o**3 - 276*o**2 - 3181*o - 42. Let d(i) = -3*i**3 - 138*i**2 - 1590*i - 18. Let y(c) = -7*d(c) + 3*t(c). Factor y(v).
3*v*(v + 23)**2
Let q be -6 + 77/21 - -3. Let l be (-1)/(-4) + 1/(-36). Let -2/3*r**4 - l*r**5 + 0 - q*r**3 - 2/9*r**2 + 0*r = 0. Calculate r.
-1, 0
Let o be (2/6)/((-6)/18) - 12/(-3). Factor 64/3*m - 64/3 - 20/3*m**2 + 2/3*m**o.
2*(m - 4)**2*(m - 2)/3
Suppose o + 4*o = 15. Factor 16*x + 2*x**3 + 10*x**2 + 14*x**2 - 8*x**2 + 2*x**o.
4*x*(x + 2)**2
Let s(w) = -5*w**3 - 5*w**2 + 5*w. Let b(v) be the second derivative of -v**5/4 - 5*v**4/12 + v**3 + 5*v. Let t(l) = -5*b(l) + 4*s(l). Solve t(r) = 0.
-2, 0, 1
Let b be (-6)/(-8) + (104/(-60) - -1). Let g(c) be the third derivative of 1/12*c**4 + 0*c**3 + 0 + 4*c**2 - b*c**5 + 0*c. Factor g(o).
-o*(o - 2)
Factor -1/3*r**4 + 0*r + 4/3*r**3 + 0 - r**2.
-r**2*(r - 3)*(r - 1)/3
Let y(f) = 17*f**2 - 176*f - 214. Let p(m) = 9*m**2 - 87*m - 108. Let x(s) = 7*p(s) - 4*y(s). Factor x(o).
-5*(o - 20)*(o + 1)
Let s(j) be the second derivative of -169*j**7/399 - 559*j**6/285 - 249*j**5/95 - 58*j**4/57 - 8*j**3/57 - 2*j + 1. Find b such that s(b) = 0.
-2, -1, -2/13, 0
Let w be 1*2/4 - (190/(-4))/19. Factor -14/5*f**4 + 6*f**w + 2/5*f**5 + 0 + 8/5*f - 26/5*f**2.
2*f*(f - 4)*(f - 1)**3/5
Let v(x) = -6*x**5 - 5*x**4 + 6*x**3 + 5*x**2 - 5*x. Let g(j) = j**5 + j**4 - j**3 - j**2 + j. Let u = 9 + -4. Let h(t) = u*g(t) + v(t). Factor h(q).
-q**3*(q - 1)*(q + 1)
Let m be (-6)/45 - 1664/(-780). Determine d so that -2/11*d**m + 12/11 - 10/11*d = 0.
-6, 1
Let b(g) = -g + 5. Let z be b(0). Let y be (11/22)/(2/12). Solve -4*d**2 + 2*d**2 + 8*d**y + 16*d**z + d**2 - 20*d**4 = 0.
0, 1/4, 1/2
Let w = 16 + -21. Let c(d) = d**3 + 5*d**2 - 2*d - 8. Let y be c(w). Suppose 5*z - 2*z**y - 10 + 12*z**2 + 0 - 20*z**3 + 15*z**3 = 0. Calculate z.
-1, 1, 2
Suppose 10*a**2 - a**5 - 6*a**2 - 2*a**2 - 6*a**2 + 2*a**5 + 32*a - 33*a**3 + 4*a**4 = 0. Calculate a.
-8, -1, 0, 1, 4
Let m(w) = w**2 + 15*w + 31. Let a be m(-13). Determine u, given that 11*u**5 + 3*u**5 - 2*u**a + 8 - 28*u + 0*u**5 + 24*u**2 - 32*u**4 + 16*u**3 = 0.
-1, 2/3, 1
Let 5*h**2 - 9/2*h + 1 - 3/2*h**3 = 0. Calculate h.
1/3, 1, 2
Let 1/6 - 5/3*u - 11/6*u**2 = 0. Calculate u.
-1, 1/11
Let r(x) be the third derivative of -1/8*x**4 + 0 + 0*x + 1/240*x**6 + 0*x**3 - 1/24*x**5 - 6*x**2. Determine p so that r(p) = 0.
-1, 0, 6
Factor -2 + 4*k**2 + 3 + 4*k + 8*k + 7*k - 6.
(k + 5)*(4*k - 1)
Let s(d) be the first derivative of 5*d**3/3 - 30*d**2 - 37. Factor s(a).
5*a*(a - 12)
Let v = -1676 + 1678. Factor 16/5*l + 4/5*l**v + 12/5.
4*(l + 1)*(l + 3)/5
Suppose -h - 2*m + 8 = 0, 0 = -2*h - 15*m + 10*m + 18. Let b = 4/67 + 374/469. Let 6/7*t**3 + 0 + 3/7*t**h - b*t - 3/7*t**2 = 0. Calculate t.
-2, -1, 0, 1
Find k such that -18/7 + 12/7*k**3 + 72/7*k - 58/7*k**2 = 0.
1/3, 3/2, 3
Determine g so that 2*g**3 + 0*g**3 + 233 - 245 - 20*g + 9*g**2 = 0.
-6, -1/2, 2
Solve 0 - 4/5*c**2 + 28/5*c**3 - 24/5*c - 4/5*c**5 + 4/5*c**4 = 0 for c.
-2, -1, 0, 1, 3
Let u(j) be the second derivative of -j**4/4 - 8*j**3 + 51*j**2/2 + 205*j. Factor u(d).
-3*(d - 1)*(d + 17)
Suppose -8*s + 5*s = -9. Factor 0*d**5 - 8*d**2 + 20*d - 4*d**5 - 8 + 19*d**4 - 8*d**3 - 8*d**s - 3*d**4.
-4*(d - 2)*(d - 1)**3*(d + 1)
Suppose 4*l = 10*l - 24. Let 7*c**2 + 3 - 3 - l*c**2 = 0. Calculate c.
0
Let s(a) be the second derivative of 7*a**5/10 - 902*a**4/3 + 38657*a**3 + 33282*a**2 - 20*a + 2. Factor s(l).
2*(l - 129)**2*(7*l + 2)
Let k = -176/63 + 2896/315. Factor 12*j**2 - 64/5 - 32/5*j + 4/5*j**4 + k*j**3.
4*(j - 1)*(j + 1)*(j + 4)**2/5
Suppose 4*d = -d + 10. Let y(v) = v**2 - v. Let o be y(d). Let 13*u**o - 26*u**2 - 3*u + 14*u**2 = 0. What is u?
0, 3
Let 0*p + 3*p**2 + 8*p - 16 - 9*p**2 - 2*p + 7*p**2 = 0. What is p?
-8, 2
Suppose -11*r + 22 = -4*r + 4*r. Factor 0 - 2/7*a**r - 2/7*a**3 + 0*a.
-2*a**2*(a + 1)/7
Suppose -370 = -4*g + 2*a + 240, 0 = -5*a - 15. Let w = g - 1357/9. Suppose -w*o**2 + 4/9*o + 2/3 = 0. Calculate o.
-1, 3
Suppose 0 = 3*s + 2*s - 2*c - 35, s + 6 = 3*c. Suppose 2*k = -s + 13. Suppose 2*n + 2*n**3 + 0*n**3 + 4*n - 1 + 3 + 6*n**k = 0. Calculate n.
-1
Let o be -4 + (-5)/((-60)/147). Let p = -91/12 + o. Factor -2*d**2 - p - 6*d**3 + 10/3*d.
-2*(d + 1)*(3*d - 1)**2/3
Factor 2/11*n**3 - 2/11*n + 2/11*n**4 + 0 - 2/11*n**2.
2*n*(n - 1)*(n + 1)**2/11
Let w(j) be the first derivative of -3*j**4/4 - 48*j**3 - 1152*j**2 - 12288*j - 28. Determine c, given that w(c) = 0.
-16
Let s = -2027534/315 - -6437. Let v = s + 1/63. Determine l, given that -v*l**4 + 0 + 4/5*l + 2/5*l**2 - 4/5*l**3 = 0.
-2, -1, 0, 1
Let 109*z + 92*z - 4*z**2 - 161*z = 0. What is z?
0, 10
Suppose 33*b - 31*b**2 + 6*b**2 + 28*b**2 = 0. What is b?
-11, 0
Let h(l) be the first derivative of -49*l**4/3 + 308*l**3/9 - 64*l**2/3 + 16*l/3 + 167. Find g, given that h(g) = 0.
2/7, 1
Let h(f) be the first derivative of f**4/12 + 5*f**3/9 + f**2/2 - 3*f - 39. Determine x so that h(x) = 0.
-3, 1
Let z(g) = -7*g**3 - 4*g**3 + 11*g**3 - g**3. Let n(y) = 12*y**3 + 9*y**2 + 6*y. Let p(i) = -n(i) - 9*z(i). Factor p(d).
-3*d*(d + 1)*(d + 2)
Let c be (16/20)/(-1)*5. Let b be 0 - (1 + 1 + c). Suppose 3/5*k**b + 3/5*k**3 - 3/5*k - 3/5 = 0. Calculate k.
-1, 1
Let o(t) = -t**2 - 2*t. Let d(v) be the first derivative of v**3 + 3*v**2 - 12. Let f(l) = 6*d(l) + 17*o(l). Solve f(m) = 0 for m.
-2, 0
Let q(g) = g**2 + 4*g - 3. Let b be q(0). Let x be b + (-188)/156*-3. Factor 10/13*n**3 + 2/13*n**5 + 0 + 0*n + 4/13*n**2 + x*n**4.
2*n**2*(n + 1)**2*(n + 2)/13
Let -22/3 - 1/3*l**3 + 13/3*l + 10/3*l**2 = 0. What is l?
-2, 1, 11
Suppose v - 7 = -3*s + 13, -3*s + 3*v = 0. Suppose 3*i + 2*w = 19, -i + 13 = -s*i + 5*w. Suppose 9/2*k**3 + 3/2*k**2 - 9/2*k + 3/2*k**4 - i = 0. What is k?
-2, -1, 1
Let z(a) = 2*a**5 + 2*a**4 - a**3 - a - 1. Let v(d) = -d**5 + 15*d**4 + 24*d**3 + 4*d**2 + 4*d + 4. Let q(p) = -3*v(p) - 12*z(p). What is y in q(y) = 0?
-2, -1, -2/7, 0
Let a be 36/6 - (264/(-18) - -2). Determine v, given that 38/3*v**3 - 14/3*v**4 + 4*v**2 - a*v - 16/3 = 0.
-1, -2/7, 2
Suppose -5*u + 27 = -s + 3, -9*s + 9 = 0. Solve -1/5*w - 4/5*w**2 + 0 - 6/5*w**3 - 1/5*w**u - 4/5*w**4 = 0 for w.
-1, 0
Factor 3/4*x**4 + 15/4*x - 27/4*x**2 + 9/4*x**3 + 0.
3*x*(x - 1)**2*(x + 5)/4
Suppose -48 = -g + 2*i, 103 - 6 = 2*g - 3*i. Let 50 + 8*f - g - 2*f**2 = 0. Calculate f.
0, 4
Let x be (2/9)/(((-6160)/33)/(-14)). Let l(p) be the third derivative of 1/24*p**4 + 0*p**3 + 0 + 0*p - 1/120*p**6 - 2*p**2 - 1/210*p**7 + x*p**5. Factor l(o).
-o*(o - 1)*(o + 1)**2
Let o be (-790)/(-474)*6/5. Suppose -2*l - 2*l - 20 = -4*r, -3*l = 5*r - 25. Let 32/7*a**o + l - 2*a**3 - 8/7*a = 0. What is a?
0, 2/7, 2
Let b be -9 + 118/12 - (-4)/6. Let s(q) be the second derivative of -3/20*q**5 + 0 - 3*q - 1/4*q**4 + 1/2*q**3 + b*q**2. Suppose s(p) = 0. What is p?
-1, 1
Suppose 0 = -2*r + 4*c - 4, 3*r = 2*r + c. Find l, given that 5*l**3 + 36*l - 64*l**r - 18*l**5 + 51*l**3 - 8 + 22*l**5 - 24*l**4 = 0.
1, 2
Let y = 3 - -77. Find z such that -196*z**4 - 260*z**3 - 21 - 44*z**3 + y*z + 24*z**3 + 5 + 12*z**2 = 0.
-1, 2/7
Let i(x) = -2*x**2 + 395*x - 19995. Let c(m) = m**2 - 198*m 