, -1, 1, 6
Let m be 332/7 - 24/(-42). Suppose -16 = -52*f + m*f. Factor 0*a + 2/7*a**5 + 0*a**2 - 6/7*a**f + 0 + 4/7*a**3.
2*a**3*(a - 2)*(a - 1)/7
Let d(a) = 2*a**3 + 4*a**2 + 8*a - 6. Let v(n) = -n + 1. Suppose -t = l - 4, -4*t - 2 + 22 = 0. Let k(x) = l*d(x) - 6*v(x). Factor k(b).
-2*b*(b + 1)**2
Let c = 1028 + -1026. Solve -2/5*l**c + 0*l - 2/5*l**5 + 0 + 2/5*l**4 + 2/5*l**3 = 0 for l.
-1, 0, 1
Let b(t) be the first derivative of 3*t**4/16 + t**3/4 - 3*t**2/8 - 3*t/4 - 163. Factor b(i).
3*(i - 1)*(i + 1)**2/4
Let b be (-7)/(-1) - 120/60. Factor 2/7*d**2 + 2/7*d**3 - 2/7*d**b - 2/7*d**4 + 0 + 0*d.
-2*d**2*(d - 1)*(d + 1)**2/7
Let t = 11470 - 11467. Let 0 - 2/13*o**5 + 6/13*o**4 + 0*o - 8/13*o**2 + 0*o**t = 0. What is o?
-1, 0, 2
Factor -24/17*z**3 - 2/17*z**5 + 0*z + 0 + 16/17*z**2 + 12/17*z**4.
-2*z**2*(z - 2)**3/17
Let w(s) = -s**3 + 592*s**2 - 592*s**2 - s. Let y(n) = 2*n**3 + 3*n**2 + n. Let i(m) = 3*w(m) + y(m). Factor i(p).
-p*(p - 2)*(p - 1)
Let z = 6270 + -6266. Find r, given that 3/2*r**2 - 7/4*r**3 - r**z - 1/2 + 7/4*r = 0.
-2, -1, 1/4, 1
Let s = 182703/1502 - 105/751. Factor -3/2*l**5 + 63/2*l**4 + 447*l**2 - 783/2*l + s - 207*l**3.
-3*(l - 9)**2*(l - 1)**3/2
Let u(y) be the third derivative of 0*y - 1/24*y**5 + 23*y**2 - 35/6*y**3 + 0 - 15/16*y**4. Factor u(r).
-5*(r + 2)*(r + 7)/2
Let i be 26/(-78) + 62/150. Let s(j) be the first derivative of -2/15*j**3 - 5 + i*j**5 - 2/5*j**2 + 0*j + 1/5*j**4. Factor s(k).
2*k*(k - 1)*(k + 1)*(k + 2)/5
Let g(n) be the second derivative of 169*n**4/21 + 416*n**3/21 + 128*n**2/7 + 2*n + 123. Let g(p) = 0. What is p?
-8/13
Let h(u) be the first derivative of 1/10*u**5 + 0*u + 7 - 1/3*u**4 - 1/90*u**6 - 3*u**3 + 0*u**2. Let v(t) be the third derivative of h(t). Factor v(p).
-4*(p - 2)*(p - 1)
Let v(w) be the second derivative of w**5/60 + 25*w**4/18 + 112*w**3/3 + 192*w**2 - 35*w. Let v(x) = 0. What is x?
-24, -2
Suppose -58*j + 53*j = -15. Factor -30*z**2 + 118*z**4 + 12*z - 6 - j*z**3 - 3*z**5 + 5 + 25 - 106*z**4.
-3*(z - 2)**3*(z + 1)**2
Let c = -41304 - -41310. Let -2/3*o**2 + c + 2/9*o**3 - 2*o = 0. What is o?
-3, 3
Suppose 2*v - 14 = 2*q + 6, 3*v = -5*q + 30. Find k such that 5/2*k**5 - 5 + 5/2*k - 5*k**4 + v*k**2 - 5*k**3 = 0.
-1, 1, 2
Suppose 4*f + 4*d = -8, -3*f + 24*d + 2 = 23*d. Suppose 0*q - 4/5*q**2 + 4/5*q**5 + 4/5*q**4 - 4/5*q**3 + f = 0. Calculate q.
-1, 0, 1
Let v = -592 + 596. Let l(j) be the second derivative of 1/90*j**6 + 1/30*j**5 + 0 + 0*j**v + 0*j**3 + 0*j**2 - 4*j. Find d such that l(d) = 0.
-2, 0
Let a be 8/(-14) + -9 + 13 - 3. Let z be 0/(-1)*(-1 - -2). Factor 9/7*o**2 - 3/7*o + a*o**4 + z - 9/7*o**3.
3*o*(o - 1)**3/7
Let o be (-22 - -25)*1/6. Factor o*s**4 - 1/2*s - s**3 + 1/10 - 1/10*s**5 + s**2.
-(s - 1)**5/10
Let i(m) be the second derivative of m**5/70 - m**4/21 - m**3/21 + 2*m**2/7 + 108*m. Solve i(h) = 0 for h.
-1, 1, 2
Suppose -2*y = -7*y - 10. Let n be (9 - 11)/(y - -1). Let -118*b - 3 + 9*b**n + 118*b - 6*b**3 = 0. Calculate b.
-1/2, 1
Let a be ((-44)/14 - -3)*-4. Let l = -2/143 + 300/1001. Factor l*k**2 - a*k + 2/7.
2*(k - 1)**2/7
Let j(g) be the second derivative of -1/9*g**3 + 0 + 0*g**2 + 1/12*g**4 - 11*g. Determine b, given that j(b) = 0.
0, 2/3
Let q(o) be the third derivative of -6*o**2 + 1/210*o**5 - 5/1176*o**8 + 0*o + 11/735*o**7 + 0*o**3 + 0 + 0*o**4 - 1/60*o**6. Let q(w) = 0. What is w?
0, 1/5, 1
Let l = 1 + -3. Let q(v) = v**4 + v**2 + 1. Let r(u) = -4*u**4 + 8*u**3 - 8*u**2 - 8*u + 6. Let f(s) = l*q(s) - r(s). Factor f(x).
2*(x - 2)**2*(x - 1)*(x + 1)
Let f(i) = i**3 + 3*i**2 - 20*i - 50. Let r be f(-5). Let c(y) be the second derivative of 5/6*y**3 + 0 + r*y**2 - 5/6*y**4 - 3/4*y**5 + 10*y. Factor c(b).
-5*b*(b + 1)*(3*b - 1)
Let x = -2313/17 + 40169/255. Let c = -104/5 + x. Find q, given that -2/3 + 4/3*q - c*q**2 = 0.
1
Determine u so that -15*u**2 + 49*u - 20 - 10*u**3 - 38*u + 29*u + 5*u**4 = 0.
-2, 1, 2
Let i be (-4466)/(-56) + 1/4. Let 77*w - 10 - 545*w**2 - 180*w**4 + 600*w**3 - 22*w + i*w = 0. What is w?
1/6, 1, 2
Suppose -f = -2*n + 7, -79*n = -83*n - 3*f + 9. Suppose 1/2*d**n - 1/2*d - 3/2 + 3/2*d**2 = 0. Calculate d.
-3, -1, 1
Let w(n) be the third derivative of -n**6/1260 - n**5/420 + 11*n**3/6 - 8*n**2. Let v(o) be the first derivative of w(o). Suppose v(g) = 0. Calculate g.
-1, 0
Suppose -68*h + 135*h**3 + 69*h**4 + 9*h**5 + 45*h**2 + 23 + 8*h + 6*h**4 - 59 = 0. What is h?
-6, -1, 2/3
Suppose 0 = -44*o + 73*o. Factor 15/2*l**4 + 12*l**3 + o + 3/2*l**2 - 3*l.
3*l*(l + 1)**2*(5*l - 2)/2
Let s be -2*11/110*0. Determine h, given that s*h**4 + 3/8*h**3 + 0*h**2 + 0*h - 3/8*h**5 + 0 = 0.
-1, 0, 1
Let i = -89 + 134. Let j = i + 15. Factor -1 + j*l**2 + 2 - 5 - 2*l - 54*l**3.
-2*(l - 1)*(3*l - 1)*(9*l + 2)
Let x = 58/17 + -181/68. Let m(h) be the first derivative of 6 - x*h**4 + 3*h**2 - 3*h**3 + 9/5*h**5 + 0*h - 1/2*h**6. Suppose m(s) = 0. Calculate s.
-1, 0, 1, 2
Solve -10*h**2 - 12*h + 260*h**3 - 261*h**3 - 8 + 4*h**2 = 0.
-2
Let i(q) = -7*q + 42. Let r be i(6). Let c be (r + 2)*(-10)/(-4). Factor 1/2*p**4 + 0 - 1/2*p**2 + 1/2*p**c + p - 3/2*p**3.
p*(p - 1)**2*(p + 1)*(p + 2)/2
Let s = -1143/8 - -143. Let a(b) be the second derivative of 8*b - s*b**3 + 0*b**2 - 1/16*b**4 + 0 + 3/40*b**5. Factor a(i).
3*i*(i - 1)*(2*i + 1)/4
Factor 8 + b**3 - 7*b - 2*b**2 - 7*b + 10*b.
(b - 2)**2*(b + 2)
Solve -18*h**2 + 41*h**4 - 39*h**3 - 9 - 29*h**4 + 29*h - 15 + 24*h + 7*h + 9*h**5 = 0.
-2, 2/3, 1
Suppose -c + 32 + 101 = 5*m, 0 = 3*m - 2*c - 85. Let -15*f - 9*f**3 - m*f**2 + 74*f**4 + 0*f**2 - 71*f**4 = 0. Calculate f.
-1, 0, 5
Let x = -14 - -10. Let z be 15/10*x/(-2). Factor -v**2 + 4*v**2 - 2*v - v**3 + 0*v**z + 0*v**3.
-v*(v - 2)*(v - 1)
Let v(n) be the second derivative of -n**4/12 + 19*n**3/2 - 28*n**2 - 304*n. Factor v(f).
-(f - 56)*(f - 1)
Let w(v) = v**3 + v + 1. Let x(u) = 10*u**3 + 22*u**2 - 47*u - 19. Let p(q) = 5*w(q) - x(q). Determine d so that p(d) = 0.
-6, -2/5, 2
Let l(h) be the third derivative of -h**6/180 - 2*h**2 + 51*h. Factor l(m).
-2*m**3/3
Let q be -2 + (84/(-12) - -9). Factor q - 1/6*g**5 - 7/6*g**2 - 5/6*g**4 - 3/2*g**3 - 1/3*g.
-g*(g + 1)**3*(g + 2)/6
Let i(c) be the first derivative of c**4/8 - 11*c**3 + 363*c**2 - 5324*c - 133. Determine s so that i(s) = 0.
22
Solve 0 + 6/5*t**2 + 0*t**3 - 2/5*t**4 + 4/5*t = 0.
-1, 0, 2
Let m(y) = y**2 - 2*y. Let p be m(3). Let -2*n**4 + 4*n**2 + p - 1 - 2 - 2*n**3 = 0. What is n?
-2, 0, 1
Let p be (-16)/(-40) + 6*(-24)/(-90). Factor 2/3*b**p + 0 - 2/3*b.
2*b*(b - 1)/3
Factor 5426886 - 598*t**2 - 367500*t - 26864386 - 4*t**3 - 1502*t**2.
-4*(t + 175)**3
Let b(t) = t**3 - t**2 + 16*t - 61. Let r be b(3). Let f(z) be the first derivative of 14/3*z**3 + 4*z - r + 9*z**2. Suppose f(h) = 0. Calculate h.
-1, -2/7
Suppose -14*t**2 + 50*t**2 - 20*t - t**3 - 24*t**2 = 0. Calculate t.
0, 2, 10
Determine u so that -80*u**3 - 32*u + 72 - 4*u**5 + 29*u - 14*u**4 - 8*u**4 - 40*u**2 + 87*u - 10*u**4 = 0.
-3, -2, -1, 1
Let p(g) = 12*g**3 + 56*g**2 - 32*g. Let y(w) = 14*w**3 + 55*w**2 - 30*w. Let t(r) = 3*p(r) - 4*y(r). Solve t(d) = 0.
-3, 0, 2/5
Let f(m) = m**2 + m. Suppose 0 = -2*d - r - 5, -5*d + 5*r = 3 - 13. Let w(o) = -12*o**2 + 3*o + 3. Let k(b) = d*w(b) - 3*f(b). Find c, given that k(c) = 0.
-1/3, 1
Let t(b) = b**2 + 6*b - 4. Let u be t(-5). Let r = 11 + u. Determine i, given that 4*i + 2*i**2 - 2 + i**2 - 4*i**2 - i**r = 0.
1
Let w(c) be the first derivative of -12*c**5/5 + 6*c**4 + 3*c**3 - 27*c**2/2 + 218. Find u such that w(u) = 0.
-1, 0, 3/2
Let a(i) = 61*i - 1. Let w be a(-3). Let x be (-6)/(-44)*w/(-69). Find s such that -2/11*s**3 - 10/11*s**2 - x*s + 6/11*s**5 + 10/11*s**4 + 0 = 0.
-1, -2/3, 0, 1
Suppose 0 = -5*c + 5*k - 23 - 52, -18 = c - 2*k. Let z be (12/36)/((-2)/c). Find v, given that -1/4*v + 0 - 3/4*v**z = 0.
-1/3, 0
Suppose 0 = 7*c - 151 - 38. Suppose 22*k**3 - 5 - c*k + 12*k**2 - 20*k**4 - 7 + 8 + 17*k = 0. What is k?
-1/2, -2/5, 1
Let u(l) be the third derivative of l**5/60 - 7*l**4/12 - 5*l**3/2 - 90*l**2. Determine w so that u(w) = 0.
-1, 15
Let h(k) be the first derivative of 1/3*k**3 - 20 + 16*k - 4*k**2. Factor h(s).
(s - 4)**2
Let q(n) be the second derivative of 3*n**5/20 - 16*n**4 - 65*n**3/2 - 5*n + 16. Determine f so that q(f) = 0.
-1, 0, 65
Let o(n) be the third 