t y(v) = 0.
0, 1, 4
Let d be 3*3/9*-7 - ((-3705)/(-26))/(-19). Factor 0 - d*o**2 + o.
-o*(o - 2)/2
Let c(u) be the third derivative of -u**5/40 + 4*u**4 + 65*u**3/4 - 97*u**2 - 5*u. Factor c(m).
-3*(m - 65)*(m + 1)/2
Let a(p) be the first derivative of p**4/2 + 20*p**3 + 207*p**2 + 756*p + 11645. Factor a(g).
2*(g + 3)*(g + 6)*(g + 21)
Let j(r) be the third derivative of r**6/1260 - r**5/420 - r**4/14 - 5*r**3 + 19*r**2 + 6*r. Let z(l) be the first derivative of j(l). Factor z(k).
2*(k - 3)*(k + 2)/7
Let i = -44026 - -132110/3. Solve 6*x**3 - x**5 + 0 - i*x**2 + 0*x + 47/3*x**4 = 0 for x.
-1, 0, 2/3, 16
Suppose 0 = 91*m - 1470 + 196. Let s(r) be the first derivative of -12*r - m*r**2 + 27 - 8/3*r**3. Factor s(f).
-4*(f + 3)*(2*f + 1)
Let y(g) be the second derivative of g**5/70 + 25*g**4/14 - 132*g**3/7 + 320*g**2/7 - 10121*g + 2. Factor y(a).
2*(a - 4)*(a - 1)*(a + 80)/7
Let t(m) be the second derivative of m**6/15 + 4*m**5/5 + 2*m**4/3 - 16*m**3 + 10*m - 26. Determine x so that t(x) = 0.
-6, -4, 0, 2
Let t(o) be the first derivative of -2*o**3/3 - 145*o**2 - 4202*o - 62. Let p(c) = c**2 + 290*c + 4201. Let m(n) = -3*p(n) - 4*t(n). Factor m(x).
5*(x + 29)**2
Let o(l) = 63*l**2 + 9407*l + 3520. Let p(d) = 32*d**2 + 4703*d + 1700. Let g(b) = 3*o(b) - 7*p(b). Factor g(v).
-5*(v + 134)*(7*v + 2)
Let h(r) = -r**3 - 2*r**2 - 13*r - 3. Let l(f) = -f**3 - f**2 - 12*f - 3. Let v(t) = 6*h(t) - 7*l(t). Let c be v(4). Factor -3*i - 4*i + c*i - 2*i**2 + 0*i**2.
-2*i*(i - 2)
Let w(s) be the third derivative of 0*s**3 + 0 + 0*s + 171*s**2 + 19/120*s**5 - 1/120*s**6 - 3/16*s**4. Factor w(y).
-y*(y - 9)*(2*y - 1)/2
Factor 8*n**4 + 54*n**2 - 6*n**4 + 6704*n - 6642*n + 24 + 18*n**3.
2*(n + 1)**2*(n + 3)*(n + 4)
Let y = -5686/39 + 30926/195. Let 49/5*g**2 - 112/5*g + y = 0. Calculate g.
8/7
Let f(h) be the first derivative of -h**3/3 - 3*h**2 + 10*h - 24. Let j be f(-6). Find y such that -j*y + 5*y + 3*y**3 + 0*y - 4*y + 6 = 0.
-2, 1
Let y = 179/8880 - -1/1480. Let t(b) be the second derivative of 3/4*b**2 - 6*b - 5/24*b**3 + 0 + y*b**4. Factor t(u).
(u - 3)*(u - 2)/4
Factor -7 + 80 + 38*s**2 - 55 - 231*s.
(s - 6)*(38*s - 3)
Let f = 7 - 2. Suppose 4*j + f*g = -13, 2*j = 3*j + 2*g + 7. Factor o**j - 43*o + o**2 + o**2 + 44*o.
o*(o + 1)**2
Let p(g) be the second derivative of -g**8/8960 - g**7/140 - 3*g**6/20 - 21*g**4/2 - 15*g + 1. Let c(w) be the third derivative of p(w). Solve c(m) = 0.
-12, 0
Let a(g) be the second derivative of 1/14*g**7 + 27/2*g**2 + 75*g + 9/10*g**6 + 1/2*g**3 - 9/2*g**4 + 0 - 3/10*g**5. Solve a(m) = 0 for m.
-9, -1, 1
What is a in 156*a - 3/4*a**2 + 3195/4 = 0?
-5, 213
Let i(j) be the second derivative of 56/9*j**3 + 0 - 124*j + 19*j**2 - 1/18*j**4. Factor i(a).
-2*(a - 57)*(a + 1)/3
Determine s so that -64 + 18*s**3 - 10*s - 8*s**4 + 36*s**3 + 42*s**5 - 10*s**3 + 32*s**2 - 70*s - 46*s**5 = 0.
-4, -1, 2
Suppose y = -a + 13, 5*y = -0*y + 3*a + 49. Suppose -7 - y = -9*f. Suppose -7*s + 0*s - 5*s - 3*s**3 + 3*s + 15*s**f - 27 = 0. Calculate s.
-1, 3
Suppose -4*s - 68 = -280*u + 284*u, s - 3*u = 59. Let k = -62 + 251/4. Solve 0 - 3/4*j - k*j**s = 0 for j.
-1, 0
Let v(p) = 9*p**3 + 432*p**2 + 2409*p + 3598. Let u(o) = -38*o**3 - 1729*o**2 - 9618*o - 14391. Let q(f) = -2*u(f) - 9*v(f). Suppose q(t) = 0. What is t?
-80, -3
Let d(v) be the second derivative of -17/9*v**3 + 3*v**2 - 14 - 1/9*v**4 + 4*v. Solve d(a) = 0 for a.
-9, 1/2
Let w be 115/69 - 25/75. Factor w + 8/3*g**2 + 10/3*g + 2/3*g**3.
2*(g + 1)**2*(g + 2)/3
Let z = 10118505/359 + -76315228982/2708655. Let h = 1/2515 + z. Find t, given that -8/3*t**3 + 16*t + 1/2*t**4 + 1/6*t**5 - 10/3*t**2 - h = 0.
-4, 1, 2
Let w(n) = -n**3 + 29*n**2 + 53*n - 72. Let a(t) = -3*t**2 + 2*t. Let p(b) = 18*a(b) + 2*w(b). Determine c so that p(c) = 0.
-8, 1, 9
Let j be ((3 + -2)/(-19))/((-1)/(-2)) - (-6458)/61351. Factor -18/5*w**3 + j + 18/5*w - 2/5*w**4 + 2/5*w**2.
-2*w*(w - 1)*(w + 1)*(w + 9)/5
Solve -640/9 + 316/9*v + 2/9*v**2 = 0 for v.
-160, 2
Let u = 9407623/231335 - -1/694005. Let 50/3*h**4 + u*h**2 + 0 - 320/3*h**3 - 4*h = 0. What is h?
0, 1/5, 6
Let m = 301 + -297. Find r such that -32*r**2 - 4*r**4 + 147*r + 2*r**m - 14*r**3 - 171*r = 0.
-3, -2, 0
Suppose 14*z + 26 = 16*z + 4*j, z - 5 = -4*j. Let c(x) be the first derivative of z + 0*x - 1/5*x**3 - 3/5*x**2. Factor c(p).
-3*p*(p + 2)/5
Let n(q) be the second derivative of -5*q**4/12 + 3790*q**3/3 + 7585*q**2/2 - 5448*q. Let n(j) = 0. What is j?
-1, 1517
Let n be (32/1104)/((-37)/(-1702)). Factor -n*u**2 + 52/3*u - 88/3.
-4*(u - 11)*(u - 2)/3
Let q = 1548570 + -410370416/265. Let z = q + 2/265. Factor 3/5*g**2 - z*g + 12/5.
3*(g - 2)**2/5
Suppose -2*x**4 + 0*x**4 + 190*x + 100 + 6*x**2 + 0 - 50*x**3 - 36*x = 0. Calculate x.
-25, -1, 2
Let p(x) be the second derivative of 0 - 66*x - 85/3*x**3 - 18/5*x**5 - 16*x**4 - 25*x**2. Factor p(l).
-2*(l + 1)*(6*l + 5)**2
Factor -129 + 209 - 1380*w - 1941*w**3 + 496*w**3 + 4612*w**2 + 1508*w**2.
-5*(w - 4)*(17*w - 2)**2
Let r(s) = 3121*s - 59296. Let w be r(19). Factor -14 + 26/7*x**2 + 2/7*x**w + 10*x.
2*(x - 1)*(x + 7)**2/7
Let h(u) be the first derivative of 26 + 2/5*u**5 - 7/2*u**2 + 3/4*u**4 - u**3 - 3*u. What is s in h(s) = 0?
-1, 3/2
Suppose 9*m = 877 - 850. Let 18*t**2 + 2193*t**5 + 7*t**3 - 29*t**m + 36*t - 2*t**4 - 2191*t**5 = 0. What is t?
-3, -1, 0, 2, 3
Factor 16/7*a**3 + 464/7*a - 128/7 + 188/7*a**2.
4*(a + 4)*(a + 8)*(4*a - 1)/7
Suppose 0 = -92*z + 53*z + 78. Let f(c) be the second derivative of -32*c**z + 8*c**3 + 0 - c**4 + 1/20*c**5 + 35*c. Factor f(l).
(l - 4)**3
Suppose 106*d - 223 - 31 = -21*d. Let b(r) be the second derivative of -3/20*r**5 + 0*r**d + 0 + 9*r + 0*r**4 + 1/2*r**3. Factor b(m).
-3*m*(m - 1)*(m + 1)
Let h(w) be the second derivative of w**5/30 + 8*w**4/3 + 20*w**3 + 54*w**2 + w + 68. Let p(f) be the first derivative of h(f). What is t in p(t) = 0?
-30, -2
Suppose 7*s + 16 = 11*s. Suppose -s*x - 4 = -5*p + 4, 4*p = -3*x + 25. Factor 97*l**2 + 12*l**3 + 3*l - 6*l**p + 0*l**5 + l**5 - 107*l**2 + 0*l**4.
l*(l - 3)*(l - 1)**3
Factor -13/6*x**2 + 2/3*x**3 + 1/2*x + 0.
x*(x - 3)*(4*x - 1)/6
Let i(l) be the third derivative of l**8/784 - l**6/70 + l**5/70 + 3*l**4/56 - l**3/7 + 72*l**2 + 20*l + 1. Solve i(c) = 0.
-2, -1, 1
Suppose 5*n - 2*y - 121 = 0, -n + 65 = -2*y + 36. Let 30 + 420*b - 325*b - 72*b**2 + 20*b**3 - n*b**2 = 0. What is b?
-1/4, 2, 3
Suppose -187*b - 175 = -419*b + 521. Factor 0 - 72/5*g + 176/5*g**2 + 2*g**b.
2*g*(g + 18)*(5*g - 2)/5
Solve 6805*n + 4*n**3 + 4430*n - 19600 - 1013*n - 564*n**2 + 9938*n = 0 for n.
1, 70
Let l(p) be the first derivative of 14 + 0*p**2 + 0*p**3 + 14*p - 1/15*p**4 + 2/25*p**5 - 2/75*p**6. Let h(s) be the first derivative of l(s). Factor h(z).
-4*z**2*(z - 1)**2/5
Let a(h) = 51*h + 115. Let f be a(15). Let n = f - 876. Factor 0*p**3 + 0 + 3/2*p**5 + 3*p**2 - 3*p**n - 3/2*p.
3*p*(p - 1)**3*(p + 1)/2
Find g such that -1/6*g**2 - 4657352/3 - 3052/3*g = 0.
-3052
Let z = -265889 + 265894. Factor 0 + 0*f**2 - 2/3*f + 0*f**4 + 4/3*f**3 - 2/3*f**z.
-2*f*(f - 1)**2*(f + 1)**2/3
Let m = 14878 - 14878. Let i = -2 - -5. Factor -4/5*d**4 + m*d + 0 - 2/5*d**2 + d**i + 1/5*d**5.
d**2*(d - 2)*(d - 1)**2/5
Determine g so that -129/2*g**2 + 255/2*g + 1/2*g**3 - 127/2 = 0.
1, 127
Let o(n) = -7*n**3 + 32*n**2 - 111*n + 155. Let j(d) = -6*d**3 + 32*d**2 - 116*d + 156. Let q(a) = 5*j(a) - 4*o(a). Factor q(g).
-2*(g - 10)*(g - 4)*(g - 2)
What is q in 357*q - 110*q**4 - 200 - 27*q - 5*q**3 + 239*q**4 - q**5 - 120*q**4 - 133*q**2 = 0?
-4, 1, 2, 5
Let n(r) = -10*r - 1. Suppose -2*v + 6 = -8*v. Let c be n(v). Find l such that -c*l + 3*l**2 - 7 + 5 - 4 + 9*l**3 + 3*l**4 = 0.
-2, -1, 1
Suppose -31/4*d**2 + 0*d - 1/4*d**3 + 0 = 0. Calculate d.
-31, 0
Suppose 0 = -127*h + 135*h + 104. Let a be (-75)/h + -62 + 57. Factor -8/13*j**2 + 42/13*j - a.
-2*(j - 5)*(4*j - 1)/13
Suppose 34*s = 30*s + 28. Suppose 6 - s*n**2 + 6*n**2 - 4*n - 4*n**3 + 8*n - 7*n**2 + 2*n**4 = 0. Calculate n.
-1, 1, 3
Determine x so that -7/5*x**3 + 2324/5*x + 167*x**2 - 732/5 = 0.
-3, 2/7, 122
Let y(g) be the first derivative of g**6/30 + 3*g**5/25 - 3*g**4/20 - 11*g**3/15 - 3*g**2/5 + 160. Suppose y(c) = 0. What is c?
-3, -1, 0, 2
Suppose 36*w + y = 31*w + 13, -5*w - 2*y + 11 = 0. Let s(o) be 