0.
-1, 1, 2
Factor -3/4*t**2 + 1 - 1/2*t + 1/8*t**3 + 1/8*t**4.
(t - 2)*(t - 1)*(t + 2)**2/8
Suppose -4*d = 5*z - 36, -4*z - 4*d = -d - 28. Let m be 0 + -3 - 10/z*-2. Factor 94*y**2 - 12 - 12*y - 14*y**3 - 14*y - 42*y**m.
-2*(y - 3)*(y - 1)*(7*y + 2)
Suppose 3*i = -4*k + 32, 6*i - 8*i + 8 = 0. Determine o, given that -21 - 10*o**4 - 87 + 64*o - 16*o**3 + 2*o**k - 20 + 88*o**2 = 0.
-2, 1, 4
Find q, given that -4374/7*q - 3/7*q**5 - 153/7*q**4 - 1707/7*q**3 + 0 + 891*q**2 = 0.
-27, 0, 1, 2
Let t(g) be the first derivative of -1/3*g**2 + 0*g + 1/9*g**3 + 103. Find j, given that t(j) = 0.
0, 2
Suppose -2*h + 11 = u, u + 8*h + 5 = 10*h. Let r(a) be the second derivative of 1/6*a**u - 14*a + 1/18*a**4 + 0*a**2 + 0 - 1/60*a**5. Factor r(i).
-i*(i - 3)*(i + 1)/3
Let b = 506045/9 - 56227. Solve -20/9*a**2 + b*a**3 + 2*a + 0 = 0 for a.
0, 1, 9
Let w(g) = -30*g**2 - 8355*g - 24563. Let o(v) = -20*v**2 - 5570*v - 16385. Let a(r) = -8*o(r) + 5*w(r). Let a(c) = 0. Calculate c.
-551/2, -3
Let n(r) be the third derivative of -r**2 + 0 + 50*r + 0*r**3 - 61/60*r**5 - 7/120*r**6 + 3/4*r**4. Factor n(l).
-l*(l + 9)*(7*l - 2)
Let q(s) be the third derivative of s**5/15 - 67*s**4/6 + 44*s**3 + 1050*s**2. Suppose q(v) = 0. Calculate v.
1, 66
Suppose -8*f + j = -14, 2*f - 17*j - 8 = -19*j. Factor 94/7*m + 4 - 2*m**f.
-2*(m - 7)*(7*m + 2)/7
Let n = 311/5 + -62. Let o = 5849777/5 + -1169955. Find r, given that -1/5*r**3 + 0 + o*r**2 - n*r = 0.
0, 1
Let f(v) be the second derivative of -v**7/147 - 4*v**6/105 + 3*v**5/35 + 2*v**4/21 - 5*v**3/21 + 3113*v - 1. Let f(t) = 0. Calculate t.
-5, -1, 0, 1
Factor -4*v**2 - 12*v**3 - 1799*v**4 + 1803*v**4 + 20*v - 8*v - 3*v**3 + 3*v**3.
4*v*(v - 3)*(v - 1)*(v + 1)
Let j(k) be the third derivative of k**8/2016 + 26*k**7/315 + 17*k**6/120 - 13*k**5/45 - 103*k**4/144 - 194*k**2 - 6*k. Determine b, given that j(b) = 0.
-103, -1, 0, 1
Let q(r) be the first derivative of r**8/3192 + r**7/665 - 3*r**6/380 - 9*r**5/190 + 29*r**2/2 + 157. Let j(c) be the second derivative of q(c). Factor j(a).
2*a**2*(a - 3)*(a + 3)**2/19
Let s(u) be the third derivative of 0*u - 75*u**2 + 5/3*u**4 - 25/3*u**3 + 19/120*u**5 + 0 + 1/240*u**6. Find j such that s(j) = 0.
-10, 1
Let c(h) be the third derivative of h**7/945 - 77*h**6/108 + 5461*h**5/30 - 75809*h**4/4 - 159014*h**3 - 177*h**2 + 3. What is o in c(o) = 0?
-2, 129
Let f be (-27)/(-207) + (-300)/(-1932). Solve 6/7*g**4 + 4/7*g**3 - f*g**5 - 2/7*g + 6/7 - 12/7*g**2 = 0 for g.
-1, 1, 3
Factor 0 - 54/13*b**2 - 4*b - 2/13*b**3.
-2*b*(b + 1)*(b + 26)/13
Factor 18*o**3 + 0*o - 6*o**4 + 1/2*o**5 - 16*o**2 + 0.
o**2*(o - 8)*(o - 2)**2/2
Factor -744 + 100*i**2 - 901 - 600*i + 61 - 2*i**3 - 168*i**2.
-2*(i + 6)**2*(i + 22)
Let y(k) be the first derivative of 128 - 30*k**2 + 2*k**3 - k**3 - 182. Factor y(r).
3*r*(r - 20)
Let u(j) = j - 1. Let x be u(3). Suppose -292 + 19 = -21*p. Let 19*m**2 - p*m**x - 6*m**2 + 2*m**5 - m**3 - m**4 = 0. Calculate m.
-1/2, 0, 1
Let u(v) be the second derivative of -11*v**5/40 - 107*v**4/48 - 39*v**3/8 + 9*v**2/4 - 979*v. Factor u(h).
-(h + 2)*(h + 3)*(22*h - 3)/4
Let m = -1997 - -199703/100. Let r(g) be the third derivative of -m*g**6 - 1/25*g**5 + 0 + 1/175*g**7 + 0*g + 13*g**2 - 8/5*g**3 + 3/5*g**4. Factor r(y).
6*(y - 2)**2*(y - 1)*(y + 2)/5
Let y = 129462 - 129461. Let -1/7*p**3 - y + p**2 + 1/7*p = 0. What is p?
-1, 1, 7
Factor 3024*g**2 + 0 + 486*g + 9063/2*g**3 - 1083/2*g**4.
-3*g*(g - 9)*(19*g + 6)**2/2
Suppose -4*a + 58 = 5*h, h - 2 = -150*a + 154*a. Find p such that -1/3*p + 1/3*p**3 - 1 + p**a = 0.
-3, -1, 1
Let f(c) = c**2 + 13*c - 13. Let p be f(-14). Let d be -1 + 0 + 441/p. Factor -409*a - 95 - 71*a - d*a**2 + 840*a**3 - 245*a**4 + 15.
-5*(a - 2)**2*(7*a + 2)**2
Let x = 23762/5 + -4752. Find p, given that x*p**2 - 2/5*p**3 + 2*p + 6/5 = 0.
-1, 3
Let b be 245/(-105)*2/(-14). Suppose -y - 2*w + 2 = -0*y, y - 5*w + 5 = 0. Suppose 0 + 1/3*s**3 + y*s**2 - b*s = 0. Calculate s.
-1, 0, 1
Let z(j) be the first derivative of -3*j**6 + 122*j**5/5 + 167*j**4/2 + 230*j**3/3 + 18*j**2 - 4421. Find o, given that z(o) = 0.
-1, -2/9, 0, 9
Let w = 56 + -46. Suppose -5*m + w = -5*z, 2*z + 2 = -2*m + 6*z. Find q, given that 0*q + 0 + 0*q**2 - 24/5*q**m + 22/5*q**4 - 4/5*q**3 = 0.
0, 1/4, 2/3
Let r(n) = -n**3 - 18*n**2 - 69*n - 104. Let g(p) = -p**3 - 19*p**2 - 70*p - 105. Suppose -107 + 62 = -9*a. Let i(t) = a*r(t) - 4*g(t). Factor i(s).
-(s + 4)*(s + 5)**2
Suppose 0 = 12*w - 2*w - 750. Let i**3 + 11*i**3 - 2*i**4 + w*i**2 + 6*i**3 - i**4 + 0*i**3 + 54*i = 0. What is i?
-2, -1, 0, 9
Let i(s) be the first derivative of -s**4/10 + 94*s**3/5 - 4104*s**2/5 - 127072*s/5 + 7084. Factor i(h).
-2*(h - 76)**2*(h + 11)/5
Factor 168*q**3 - 679*q**2 + 1109*q**2 + 75 + 55*q**4 - 438*q**3 - 295*q + 5*q**5.
5*(q - 1)**4*(q + 15)
Let v = 97 - 162. Let d = 75 + v. Factor 13*r - 194*r**2 + 192*r**2 - 5*r + d.
-2*(r - 5)*(r + 1)
Let s(y) be the first derivative of -2*y**5/35 + 52*y**4/7 - 202*y**3/7 - 4*y**2/7 + 808*y/7 + 977. Determine a, given that s(a) = 0.
-1, 2, 101
Let f(i) be the second derivative of 1/45*i**4 + 0 - 43*i - 1/15*i**3 - 2/15*i**2. Determine y so that f(y) = 0.
-1/2, 2
Suppose -k = -0*k + 5*j + 4, -4*k = j - 22. Let -m**2 - 6*m - k*m - 16 + 12*m - 10*m = 0. What is m?
-8, -2
Factor -161/8 + 1/8*k**4 - 153/4*k - 16*k**2 + 9/4*k**3.
(k - 7)*(k + 1)**2*(k + 23)/8
Let c(m) = -2*m**5 - m**3 - 12*m**2 - 1. Let l(o) = -26*o**5 - 74*o**4 - 658*o**3 + 578*o**2 - 12. Let k(b) = -12*c(b) + l(b). Determine v, given that k(v) = 0.
-19, 0, 1
Let j(v) = -23*v**3 + 625*v**2 - 4733*v - 2805. Let k(y) = -22*y**3 + 626*y**2 - 4734*y - 2894. Let m(z) = 2*j(z) - 3*k(z). Factor m(q).
4*(q - 16)**2*(5*q + 3)
Let s be (-20)/3*132/(-540). Let m(j) be the first derivative of -8 - s*j**3 + 4/3*j**2 + 4/45*j**5 + 0*j + 4/9*j**4. Factor m(h).
4*h*(h - 1)**2*(h + 6)/9
Suppose -12*i + 14*i = -42*i. Let h(z) be the second derivative of -1/3*z**4 + 0*z**2 - 1/5*z**5 + 0*z**3 - 24*z + i. Suppose h(c) = 0. Calculate c.
-1, 0
Let z = -11380 + 11383. Let w(u) be the second derivative of -5/6*u**4 + 0 - 5/42*u**7 + 3/4*u**5 + 0*u**2 - 25*u + 0*u**z + 0*u**6. Factor w(d).
-5*d**2*(d - 1)**2*(d + 2)
Let f(r) be the first derivative of -r**8/420 + r**7/15 - 49*r**6/90 - 94*r**3/3 + 242. Let d(i) be the third derivative of f(i). Factor d(t).
-4*t**2*(t - 7)**2
Let y(h) = -3*h + 1. Let r(u) = -u**2 - 7*u + 121. Let j(p) = 2*r(p) + 14*y(p). Factor j(o).
-2*(o - 4)*(o + 32)
Factor 27/7*u**3 + 3/7*u**4 + 27/7*u**2 - 243/7*u - 486/7.
3*(u - 3)*(u + 3)**2*(u + 6)/7
Let o(u) = 16 - 14 + 27*u**2 - 6*u**3 - 4 + 6*u - 31. Let z(r) = -17*r**3 + 82*r**2 + 17*r - 98. Let n(k) = 8*o(k) - 3*z(k). Factor n(a).
3*(a - 10)*(a - 1)*(a + 1)
Factor 0 + 1/2*y**4 + 19/2*y**3 - 1/2*y**2 - 19/2*y.
y*(y - 1)*(y + 1)*(y + 19)/2
Let z be (-55)/(-25) + (-1)/5. Suppose 4*x + z*t = 20, 20 = 4*x - 5*t + 2*t. Determine k so that -3*k**4 + k - 21*k**3 + x*k + 3*k**2 + 15*k**3 = 0.
-2, -1, 0, 1
Let k(c) be the third derivative of c**6/72 + 17*c**5/360 + c**4/36 - 16*c**3 - 9*c**2 + 2*c. Let p(v) be the first derivative of k(v). Factor p(i).
(i + 1)*(15*i + 2)/3
Let b = 20673/2 + -41343/4. Factor 27/8*u + 15/4*u**2 + 9/8*u**3 + b.
3*(u + 1)*(u + 2)*(3*u + 1)/8
Let j(t) be the third derivative of -1/120*t**5 + 95 + t**2 - 5/2*t**3 - 17/48*t**4 + 0*t. Factor j(f).
-(f + 2)*(f + 15)/2
Let n(v) = -10*v**3 - 156*v**2 + 620*v - 186. Let k(y) = -10*y**3 - 155*y**2 + 618*y - 189. Let i(r) = -10*k(r) + 9*n(r). Factor i(j).
2*(j - 3)*(j + 18)*(5*j - 2)
Factor -138*o**2 - 6*o**4 - 127*o + 30*o**3 + 11*o**4 + 499 - 727*o + 971 - o**4.
2*(o - 5)*(o + 7)**2*(2*o - 3)
Suppose -16 = 4*v + 2*x, 0 = 5*v - v - x + 28. Let g be (156/v - -5)/(90/(-12)). Let -g*b - 1/5*b**2 - 49/5 = 0. Calculate b.
-7
Let h = -571 + 570. Let w be 6 - h - (-22 + 27). Factor 2/3*c**3 - w*c**2 - 2/3 + 2*c.
2*(c - 1)**3/3
Let w(v) be the third derivative of -v**9/332640 + v**8/36960 + v**7/6930 - 79*v**5/60 + 38*v**2 + 1. Let i(u) be the third derivative of w(u). Factor i(t).
-2*t*(t - 4)*(t + 1)/11
Factor 4/5*m**3 - 1232/5 - 292/5*m**2 - 1216/5*m.
4*(m - 77)*(m + 2)**2/5
Let c be (-86)/(-10) + (-4)/(-10). Let g(z) = 10*z**2 + 49*z + 9. Let b(m) = -5*m**2 - 24*m - 4. Let f(x) = c*b(x) + 4*g(x)