 10 - 1 = 0.
-4, 1
Let y(h) be the second derivative of h**4/30 - 3*h**3/5 + 8*h**2/5 - 2*h - 5. Solve y(q) = 0.
1, 8
Let g = 2/10489 - -9289/6293400. Let v(z) be the third derivative of 0*z**4 + 11*z**2 + 1/1050*z**7 + 0 + 0*z**5 - g*z**6 + 0*z**3 + 0*z. Factor v(f).
f**3*(f - 1)/5
Let w(u) = 6*u**3 - 62*u**2 - 468*u + 7434. Let s(v) = -25*v**3 + 249*v**2 + 1872*v - 29735. Let o(h) = 2*s(h) + 9*w(h). Factor o(z).
4*(z - 13)**2*(z + 11)
Let n = 8173 + -8173. Factor 1/7*y**2 + n + 1/7*y.
y*(y + 1)/7
Let d(p) be the third derivative of 0*p**6 + 0*p + 52*p**2 - 1/80*p**5 - 1/24*p**4 - 1/16*p**3 + 1/1680*p**7 + 0. Let d(o) = 0. Calculate o.
-1, 3
Let w(d) be the second derivative of 0*d**3 + 0*d**2 - 16*d - 3/100*d**5 + 0 - 1/20*d**4. Factor w(p).
-3*p**2*(p + 1)/5
Let j(n) = -2*n**2 + 1. Let a(z) = z**3 + 12*z**2 + 8*z - 3. Let c(d) = -a(d) - 3*j(d). Suppose c(u) = 0. What is u?
-4, -2, 0
Let d = -29 + 27. Let o(g) = g**2 - 7*g + 6. Let v(k) = k**2 - 13*k + 12. Let q(i) = d*v(i) + 5*o(i). Factor q(h).
3*(h - 2)*(h - 1)
Let q(s) = -2*s + 25. Let r be q(11). Let 6*h**2 + 2*h**3 + 2*h**r - 4*h - 6*h**3 = 0. Calculate h.
0, 1, 2
Let m(u) = -4*u + 2. Let c be m(-1). Factor -3*n + c*n - 19*n - 32*n**2 - 12*n**3.
-4*n*(n + 2)*(3*n + 2)
Let x(c) be the third derivative of 243*c**7/140 + 28107*c**6/80 + 9333*c**5/20 + 3107*c**4/12 + 230*c**3/3 + 939*c**2. Solve x(r) = 0 for r.
-115, -2/9
Suppose -5*i = 42 - 147. Let t be (12/14)/(1/i). Factor 4*w - t*w**2 - 2*w + 48*w**3 - 32*w**4 + 0*w**2.
-2*w*(w - 1)*(4*w - 1)**2
Factor 1/2*f**2 - 7 - 13/2*f.
(f - 14)*(f + 1)/2
Factor -11*t**3 + 4*t**4 + 12*t**2 - 9/2*t + 0 - 1/2*t**5.
-t*(t - 3)**2*(t - 1)**2/2
Find i such that 0 + 15/7*i**2 - 1/7*i**4 + 0*i - 2*i**3 = 0.
-15, 0, 1
Let m = -341 + 349. Let l(c) be the second derivative of c - 3/5*c**5 + 0 + 8*c**2 - m*c**3 + 11/3*c**4. Factor l(z).
-4*(z - 2)*(z - 1)*(3*z - 2)
Let w be (-112)/(-112)*(-6)/(-2). Factor 3 + 3/4*d**2 - w*d.
3*(d - 2)**2/4
Let d(r) be the second derivative of -r**4/8 + 31*r**3/2 - 531*r**2/4 - 860*r. Let d(y) = 0. What is y?
3, 59
Let g(o) be the second derivative of -o**2 + 1/20*o**5 - 22*o + 0 - 1/6*o**3 + 1/6*o**4. Factor g(t).
(t - 1)*(t + 1)*(t + 2)
Suppose -5*u - 33 = -t, -2*t + 0*t + 4*u + 36 = 0. Let k be (4/t)/(18/12). Determine j so that 1/3*j + 1/3*j**2 - k*j**3 - 1/3 = 0.
-1, 1
Factor 2*j**2 - 11*j + 53*j - 32 - 12*j.
2*(j - 1)*(j + 16)
Let h(q) be the first derivative of 2*q**3/33 + 4*q**2/11 + 8*q/11 - 83. Find s such that h(s) = 0.
-2
Factor 11268*m + 147*m**3 - 949*m**2 - 19025*m**2 + 282 - 850 - 1040 + 192*m**2.
3*(m - 134)*(7*m - 2)**2
What is q in 280*q**3 - 98*q**3 + 15*q - 88*q**3 + 12*q**2 + 6 - 91*q**3 = 0?
-2, -1
Factor -132/7 - 4/7*m**2 + 8*m.
-4*(m - 11)*(m - 3)/7
Let h(q) be the second derivative of q**4/60 + 7*q**3/30 - 4*q**2/5 + 10*q + 7. Determine m, given that h(m) = 0.
-8, 1
Let a be 4 - (41/164)/(2/32). Let n(d) be the second derivative of 5/2*d**3 - 5*d + a*d**2 - 1/4*d**5 + 0 - 5/6*d**4. Factor n(z).
-5*z*(z - 1)*(z + 3)
Let f = -1042 + 1042. Let f + 4/15*d + 4/15*d**3 - 2/3*d**2 = 0. What is d?
0, 1/2, 2
What is n in 12*n - 4*n + 57 + 2*n**2 + 57 + 108*n = 0?
-57, -1
Let q be 110/33 - (-220)/(-75). Factor 2/5*s + q*s**2 - 12/5.
2*(s - 2)*(s + 3)/5
Let y(h) = h**2 - 27*h + 143. Let v be y(7). Determine i, given that -4/7*i**v + 48/7 + 32/7*i - 4/7*i**2 = 0.
-2, 3
Suppose 198*z = 207*z - 18. Determine l, given that 2/3 - 5/3*l**z - l = 0.
-1, 2/5
Let c(y) be the second derivative of -y**5/20 + 2*y**4/3 - 17*y**3/6 + 5*y**2 - 63*y. Factor c(p).
-(p - 5)*(p - 2)*(p - 1)
Factor -30/7*m**2 - 24/7 - 51/7*m - 3/7*m**3.
-3*(m + 1)**2*(m + 8)/7
Let p = -54 + 96. Factor p*u**4 - 18*u**5 + 3*u**3 + 8*u**2 - 5*u**3 - 30*u**3.
-2*u**2*(u - 1)*(3*u - 2)**2
Let h(j) = j**3 + 7*j**2 - 3. Let m be h(-7). Let l be 12/(-36) + -1 + (-11)/m. Determine y, given that l*y**4 + 0 + 6*y**3 + 1/3*y**5 + 8/3*y + 20/3*y**2 = 0.
-2, -1, 0
Let w(z) be the third derivative of z**5/390 - 3*z**4/52 + 15*z**2. Suppose w(g) = 0. Calculate g.
0, 9
Let w = 653/6 - 1297/12. Factor 3/4*z**3 + 1/2*z**2 - 1/2 - w*z.
(z - 1)*(z + 1)*(3*z + 2)/4
Factor 7*w**2 - 24*w + 68/3 - 1/3*w**3.
-(w - 17)*(w - 2)**2/3
Let p(r) be the third derivative of -r**8/168 - 16*r**7/735 + r**6/140 + 8*r**5/105 + r**4/21 + 17*r**2. Solve p(d) = 0.
-2, -1, -2/7, 0, 1
Let d(q) be the third derivative of -1/228*q**4 + 0 - q**2 + 0*q**3 + 0*q + 1/570*q**5. Factor d(k).
2*k*(k - 1)/19
Let r(m) be the first derivative of 2/3*m**2 - 2/3*m**3 - 1/3*m**4 + 36 + 2*m. Factor r(u).
-2*(u - 1)*(u + 1)*(2*u + 3)/3
Find h such that -7*h**2 + 12*h**2 - 3*h**3 + 2*h**3 - 8*h**3 - 3*h**4 + 36*h + 24 + h**2 = 0.
-2, -1, 2
Let o(j) be the second derivative of -j**8/840 + j**7/336 + 7*j**6/720 - j**5/120 - 17*j**3/6 - 7*j. Let n(h) be the second derivative of o(h). Factor n(c).
-c*(c - 2)*(c + 1)*(4*c - 1)/2
Let r(w) = w**2 - 10*w + 10. Let p be r(11). Let 32*g**3 - 24*g**2 + 8*g - 39*g**3 - 4*g**5 + p*g**3 + 6*g**4 = 0. Calculate g.
-2, 0, 1/2, 1, 2
Let c be 0 + -1 + 2 - (-62)/(-310). Factor 0 - 9/5*z**2 + c*z.
-z*(9*z - 4)/5
Let b(x) = -6*x**2 + 169*x - 167. Let u(w) = -3*w**2 - 2*w + 1. Let z(h) = -b(h) + u(h). Factor z(n).
3*(n - 56)*(n - 1)
Let l(p) be the first derivative of p**6/2 - 3*p**4/2 + 3*p**2/2 + 69. Factor l(t).
3*t*(t - 1)**2*(t + 1)**2
Factor 16/7*g + 60/7*g**3 + 52/7*g**2 + 0 + 4/7*g**5 + 4*g**4.
4*g*(g + 1)**3*(g + 4)/7
Let o(y) be the second derivative of 0*y**3 + 1/3*y**6 - 1/7*y**7 - 1/6*y**4 - 1/10*y**5 + 0*y**2 - 10*y + 0. Let o(b) = 0. What is b?
-1/3, 0, 1
Let s(k) be the first derivative of k**4/6 + 2*k**3/3 + k**2 + 2*k - 14. Let j(c) be the first derivative of s(c). Determine x so that j(x) = 0.
-1
Let p(c) = -2*c - 8. Let h be p(-5). Suppose 2*u + 8 = 4*g - 16, 4*g - 26 = 3*u. Find z, given that 7*z + 11*z**2 - 8*z**h + 20 - 8 + g*z = 0.
-2
Let y = -27 - -40. Let r(p) = -p + 15. Let g be r(y). Factor -3*d**g + 3*d**2 - 6*d**4 - 3*d**5 + d**3 - 4*d**3.
-3*d**3*(d + 1)**2
Let f(w) be the second derivative of -w**7/560 + w**6/120 - w**5/80 + 13*w**3/6 + 21*w. Let j(s) be the second derivative of f(s). Factor j(y).
-3*y*(y - 1)**2/2
Let f be 234/(-819) + 50/126. Factor 0 + 1/3*o**4 + 0*o**3 - f*o**5 + 0*o - 4/9*o**2.
-o**2*(o - 2)**2*(o + 1)/9
Let n = -10 - -13. Suppose 0 = 4*y - n*a - 15, -y = 2*y - 5*a - 14. Factor -5*q**4 - 3*q**3 - q**2 + y*q**5 + 2*q**4 + 4*q**2.
3*q**2*(q - 1)**2*(q + 1)
Suppose 37 - 22 = 22*b - 95. Solve 35*f**4 + 0 - 49/5*f**b + 108/5*f**3 - 20*f**2 + 16/5*f = 0 for f.
-1, 0, 2/7, 4
Let z be 4 - 0 - (-42)/(-21). Determine d, given that -z*d**3 + 2*d - 6*d + 4*d = 0.
0
Suppose -10885 = -14*q - 10857. Find n, given that 0 + 36/7*n**q + 12/7*n - 27/7*n**3 - 3*n**4 = 0.
-2, -2/7, 0, 1
Let i(c) = 25*c**2 + 3*c - 3. Let h be i(1). Determine d, given that 25*d**4 - 3*d**4 - 6 + 33*d + h*d**4 + 69*d**2 + 70*d**4 - 213*d**3 = 0.
-1/3, 2/13, 1
Let t = 2434 - 2429. Factor 0 - 5/4*p**3 + 0*p - 7/4*p**4 - 3/4*p**t - 1/4*p**2.
-p**2*(p + 1)**2*(3*p + 1)/4
Let y = 3264 + -16316/5. Factor 2/5*z**2 + 0 - y*z.
2*z*(z - 2)/5
Let f be (0 - 1)*1 + 99/77. Determine s, given that f*s**5 + 8/7*s**4 + 4/7*s**2 + 0*s + 10/7*s**3 + 0 = 0.
-2, -1, 0
Suppose -13*q**2 - 17*q**3 + 6*q + 8*q**3 + q**3 + 6*q**3 + 4*q**3 = 0. What is q?
0, 1/2, 6
Suppose 2*x + 20 = 6*x. Solve x*w + 10*w**3 - 1 + w**5 - 36*w**2 + 46*w**2 + 5*w**4 + 2 = 0 for w.
-1
Let b = -4349 - -13057/3. Factor 3*m**2 + 0 + 2/3*m + b*m**3 + m**4.
m*(m + 1)*(m + 2)*(3*m + 1)/3
Let t = 76 - 74. Let r(p) = 3*p**3 - 27*p**2 + 74*p - 60. Let x(j) = 9*j**3 - 81*j**2 + 223*j - 180. Let a(h) = t*x(h) - 7*r(h). Factor a(d).
-3*(d - 5)*(d - 2)**2
Find b such that -22*b**2 + 18*b**2 + 6*b**2 + 2*b**4 - 4 + 6*b**3 - 2*b - 4*b = 0.
-2, -1, 1
Let q = 278 - 273. Let r(d) be the third derivative of -1/10*d**q - 4*d**2 + 0*d**4 + 0 + 0*d**6 + 1/2*d**3 + 1/70*d**7 + 0*d. Factor r(s).
3*(s - 1)**2*(s + 1)**2
Factor -17/6*j**2 + 44/3*j - 24 + 1/6*j**3.
(j - 9)*(j - 4)**2/6
Let r be (-3 + 6)*18/(-27). Let j be r/24 + ((-18)/8)/(-9). Solve 2/3 + 5/6*t**2 + 4/3*t + j*t**3 = 0.
-2, -1
Let q = -4753 - -4756. Factor -4/7 - 8/7*r**2 - 10/7*r - 2/7*r**q.
-2*(r + 1)**2*(r + 2)/7
Let a(v) be the second derivative of v**4/66 - 2*v