
-4*y*(y - 1)*(y + 1)**2/3
Suppose -20*q = -22*q - 112. Let y be (-6)/(-10) + (q/105)/(-8). Determine n, given that n**2 - 1/3*n**3 + 0 - y*n = 0.
0, 1, 2
Let j(x) be the second derivative of x**7/840 + x**6/360 - x**5/120 - x**4/24 + 5*x**3/2 + 4*x. Let v(m) be the second derivative of j(m). Factor v(k).
(k - 1)*(k + 1)**2
Let i(h) be the third derivative of h**7/70 + 7*h**6/40 - 17*h**5/20 + 9*h**4/8 - 425*h**2. Factor i(s).
3*s*(s - 1)**2*(s + 9)
Let r(x) be the third derivative of -x**7/14 + 27*x**6/40 - 3*x**5/2 + x**4 + 93*x**2. Factor r(g).
-3*g*(g - 4)*(g - 1)*(5*g - 2)
Let u(y) be the third derivative of -2*y**6/3 + 2*y**5/15 - y**4/120 - y**2 - 90*y. Solve u(h) = 0.
0, 1/20
Let o(r) be the first derivative of -r**6 - 52*r**5/15 - 5*r**4/2 + 4*r**3/9 + 950. Let o(p) = 0. What is p?
-2, -1, 0, 1/9
Let x = -9338/5 - -1870. Factor -4/5*d + 4/5*d**4 + 0 - x*d**3 + 12/5*d**2.
4*d*(d - 1)**3/5
Let f(b) be the second derivative of -b**5/90 + 25*b**4/18 - 625*b**3/9 + 15625*b**2/9 + 6*b + 10. Solve f(m) = 0.
25
Let m = 54 + -56. Let k(p) = -p**4 - 5*p**3 + 2*p - 2. Let i(l) = -l**4 - 5*l**3 + 3*l - 3. Let r(b) = m*i(b) + 3*k(b). Factor r(v).
-v**3*(v + 5)
Solve -23*q**2 - 10*q**3 - 10*q - 5*q + 51 + 3*q**2 - 55 + q**5 = 0 for q.
-1, 4
Let d(w) be the third derivative of -2/25*w**5 - 32*w**2 - 8/15*w**3 + w + 0 + 4/15*w**4 - 1/1050*w**7 + 1/75*w**6. Factor d(j).
-(j - 2)**4/5
Factor -1/4*p**4 - 16*p**2 + 0*p - 4*p**3 + 0.
-p**2*(p + 8)**2/4
Solve 8*o - 7766*o**4 - 4*o - 4*o**3 + 7830*o**4 - 64*o**2 = 0.
-1, 0, 1/16, 1
Let q be 1/((-21)/(-70)) + 16/(-12). Factor -3/5 + 6/5*c**3 + 0*c**q + 3/5*c**4 - 6/5*c.
3*(c - 1)*(c + 1)**3/5
Let n(a) be the first derivative of 2*a**3/27 + 7*a**2/9 + 20*a/9 - 45. Factor n(s).
2*(s + 2)*(s + 5)/9
Let m be -1 - (-129)/42*2. Let l = -54/7 + 57/7. Determine f so that -24/7 - l*f**3 - m*f - 18/7*f**2 = 0.
-2
Factor -24/5*p**2 + 0 + 3/5*p**3 + 21/5*p.
3*p*(p - 7)*(p - 1)/5
Let n(u) be the first derivative of u**3/9 + 13*u**2/3 + 169*u/3 + 121. Determine p, given that n(p) = 0.
-13
Let u(l) be the second derivative of -l**4/36 - l**3/9 - l**2/6 - 2*l + 35. Determine k so that u(k) = 0.
-1
Let k(w) = -8*w. Let q be k(-1). Let s = q - 5. Solve -8*v**4 - 2*v + 3*v**2 - 6*v**3 + s*v**2 + 10*v**4 = 0.
0, 1
Let f(q) be the second derivative of 0 - 2/51*q**3 - 1/17*q**2 - 16*q - 1/102*q**4. Solve f(y) = 0 for y.
-1
Let j(r) be the second derivative of 3/5*r**5 - 2/15*r**6 + 0 + 0*r**3 + 27*r + 0*r**2 + 0*r**4. Factor j(f).
-4*f**3*(f - 3)
Suppose 0 = 5*f - 10 - 10. Suppose -5*r = f*i - 43, -i + 5 + 17 = -r. Factor 11*z + 70*z**3 + 0*z - 25*z**4 - 4 + i*z - 69*z**2.
-(z - 1)**2*(5*z - 2)**2
Let y(w) be the second derivative of 35*w + 1/2*w**2 + 1/3*w**3 + 1/12*w**4 + 0. Let y(l) = 0. Calculate l.
-1
Factor 2*t**2 - 77*t**3 + 74*t**3 + 3*t - 3*t**4 + t**2.
-3*t*(t - 1)*(t + 1)**2
Let o(q) = -q**3 + 4*q**2 + 4*q + 119. Let p be o(7). Factor p - 1/2*n**3 - 1/2*n**4 + n**2 + 0*n.
-n**2*(n - 1)*(n + 2)/2
Let g = 2/14379 - -100649/28758. Factor -g*t - t**2 + 1/2*t**3 - 2.
(t - 4)*(t + 1)**2/2
Let t be (6 - 17) + 9 - 28/(-4). Suppose -n**4 + 0 - 1/9*n**2 + 2/3*n**3 + 4/9*n**t + 0*n = 0. Calculate n.
0, 1/4, 1
Suppose 1/3*d**4 + 0 + 8/3*d**2 + 0*d - 7/3*d**3 + 1/12*d**5 = 0. Calculate d.
-8, 0, 2
Let i(a) be the third derivative of 1/30*a**5 + 0*a + 0 - 1/6*a**4 + 1/3*a**3 + 21*a**2. Factor i(d).
2*(d - 1)**2
Let o(f) be the second derivative of 1/4*f**5 + 0*f**2 - 1/3*f**6 + 0*f**4 + 0*f**3 + 5/42*f**7 + 20*f + 0. Determine r, given that o(r) = 0.
0, 1
Suppose 18 - 28 = -5*d. Factor -86*c**d + 96*c**2 - 1372*c**4 + 32*c + 1176*c**3 - 346*c**2.
-4*c*(7*c - 2)**3
Suppose -2*c + 4*c = 32. Let m = -14 + c. Let -m + 2 + 8*f**3 + 6*f**4 - 18*f**4 = 0. What is f?
0, 2/3
Let t be (-3)/(-6) - (-5)/2*3. Factor -a**2 + 5*a + t*a - a.
-a*(a - 12)
Let w = 31 - -20. Factor 15*r**3 + 24*r**4 + 27*r + 63*r**2 + w*r**3 + 9*r**2 + 3*r**5.
3*r*(r + 1)**2*(r + 3)**2
Suppose 4*u + 8 = 4*z, 2*u - 7*z = -2*z - 10. Let t be (1 + u)/(((-132)/40)/(-3)). Factor 16/11 + 8/11*x - t*x**3 - 12/11*x**2 - 2/11*x**4.
-2*(x - 1)*(x + 2)**3/11
Let s = -15/182 + 3441/2002. Find g such that -50/11*g**2 - s - 60/11*g = 0.
-3/5
Let k(r) = 3*r**2. Let l(s) = -4*s**2 - s. Suppose 5*n + 23 = -2. Let p(v) = n*k(v) - 4*l(v). Factor p(d).
d*(d + 4)
Let d = -209207/5 + 41844. Suppose d*x**2 + 3/5*x**3 + 8/5 + 18/5*x = 0. Calculate x.
-2, -4/3, -1
Let g(j) be the second derivative of -j**4/21 + 4*j**3/7 - 18*j**2/7 - 68*j. Determine v so that g(v) = 0.
3
Let w(y) = 2*y**3 + 5*y**2 - 5*y. Let g be w(-5). Let x be (g/40)/((-2)/4). Solve 9*m - x*m**2 + m**2 - 12 + 7*m = 0 for m.
1, 3
Let h(t) = 12*t**3 + 236*t**2 - 96*t - 164. Let r(a) = -12*a**3 - 236*a**2 + 98*a + 165. Let w(u) = 5*h(u) + 4*r(u). Suppose w(q) = 0. Calculate q.
-20, -2/3, 1
Let y(x) be the third derivative of -x**9/45360 + x**7/7560 - 9*x**4/8 + 36*x**2. Let q(f) be the second derivative of y(f). Factor q(d).
-d**2*(d - 1)*(d + 1)/3
Suppose 5*n - 5*z = -620, 0 = n + 5*z - 2*z + 108. Let f = n - -124. Factor 0*p + 0 + 2/3*p**3 + 0*p**2 + 2/3*p**f.
2*p**3*(p + 1)/3
Let t(d) = -d**3 - 2*d**2 + 8*d + 6. Let v be t(-4). Let n be (10/v)/((-6)/(-144)). Factor -43*j**2 - 3*j**5 + 3*j**3 + 2*j**4 + j**4 + n*j**2.
-3*j**2*(j - 1)**2*(j + 1)
Suppose 36*j - 35*j - 130 = 0. Let n = j - -50. Factor z + z + n*z**2 + 3 - 181*z**2.
-(z - 3)*(z + 1)
Let c(z) be the first derivative of -3*z**4/8 + 3*z**2/4 + 102. Let c(m) = 0. What is m?
-1, 0, 1
Let o(f) be the first derivative of 1/2*f**3 - 9 + 6*f**2 + 24*f. Factor o(q).
3*(q + 4)**2/2
Let q(j) be the first derivative of j**4/2 - 124*j**3/3 + 961*j**2 - 587. Find p, given that q(p) = 0.
0, 31
Let a(m) be the third derivative of m**7/42 + 5*m**6/6 + 77*m**5/12 - 605*m**4/12 + 31*m**2 + 2*m. Factor a(j).
5*j*(j - 2)*(j + 11)**2
Let b(z) be the second derivative of -31/3*z**4 - 2/5*z**6 - 12*z**2 - 46/3*z**3 - 18*z + 0 - 17/5*z**5. Determine a, given that b(a) = 0.
-3, -1, -2/3
Suppose 0 = 4*c + 2*w - 245 - 135, -4*w - 488 = -5*c. Solve -1 - 6 + c*p**2 + 2 - 6*p - 97*p**2 = 0.
-5, -1
Let m = 26 - 36. Let a = -10 - m. Let 7*l - 16 - 18*l - 4*l**2 + a*l - 5*l = 0. What is l?
-2
Let f(a) = -a + 18. Let h be f(4). Factor -10*m - 18*m - h + 57*m**2 + 112 - 55*m**2.
2*(m - 7)**2
Let q be (-2)/(-5) + (-1121)/(-885). Factor 0 + 4/3*z**2 + 2/3*z**4 - q*z**3 - 1/3*z.
z*(z - 1)**2*(2*z - 1)/3
Let z = 1/2577 + 113381/18039. Let y = -368/63 + z. Factor -2/9 - 2/9*t**2 - y*t.
-2*(t + 1)**2/9
Let v(u) = -3*u**3 - 22*u**2 + 17*u + 10. Let w(j) = 3*j**3 + 22*j**2 - 17*j - 11. Let n(q) = -3*v(q) - 2*w(q). Find p, given that n(p) = 0.
-8, -1/3, 1
Let q(i) be the second derivative of i**5/20 + 17*i**4/60 + 7*i**3/15 + 4*i + 17. Find v, given that q(v) = 0.
-2, -7/5, 0
Let a be ((-3)/4)/(1245/(-664)). Factor a*m - 2/5*m**2 + 4/5.
-2*(m - 2)*(m + 1)/5
Let c(y) = 2*y**3 - 3*y**2 - y + 2. Let w(f) = 2*f - 10. Let a be w(6). Let g be c(a). Factor 54*i**2 + i**g - 12*i**3 + 55 + 26 - 15*i + 15*i - 108*i.
(i - 3)**4
Find c, given that 4/3*c**3 + 128/3*c + 56/3*c**2 - 512/3 = 0.
-8, 2
Let a be (-1 - (-45)/6)/((-11)/(-22)). Find t such that -2*t - 16*t**2 - 32*t**3 - 3 + 16 - a = 0.
-1/4, 0
Let v(c) be the third derivative of -c**10/30240 + c**9/6048 + 7*c**5/30 - 18*c**2. Let s(a) be the third derivative of v(a). Solve s(w) = 0 for w.
0, 2
Suppose -3*p + 19 = -5*t, -2*p = p - 4*t - 17. Factor 10*c**2 + 5*c**p - 23*c + 23*c - 5*c**4.
-5*c**2*(c - 2)*(c + 1)
Let u = 2/1517 - 188114/4551. Let r = u - -42. Factor r*q**3 + 2/3*q**2 - 2/3*q - 2/3.
2*(q - 1)*(q + 1)**2/3
Let u be (-227)/80 - 4*9/(-12). Let z(a) be the third derivative of -11/40*a**5 + 1/8*a**4 + 0 - a**2 + 0*a**3 - u*a**6 + 0*a. Factor z(o).
-3*o*(o + 1)*(13*o - 2)/2
Let d(y) be the first derivative of -3*y**4/20 - 6*y**3/5 - 27*y**2/10 - 12*y/5 + 19. Suppose d(q) = 0. Calculate q.
-4, -1
Let q(m) be the second derivative of m**5/5 + 7*m**4/2 - 35*m**3/3 + 12*m**2 + 29*m. Suppose q(p) = 0. Calculate p.
-12, 1/2, 1
Suppose 0 = -5*i + 9*i - 4. Suppose -4*l - i = -105. Factor 3*f**3 + 6 - 17*f**4 + f - 4*f - 15*f**2 + l*f**4.
3*(f - 1)*(f + 1)**2*(3*f - 2)
Suppose 15 = 4*f - 5. Let m be f*-2*(-2)/5. Factor m*o**5 - 3*o**4 + 2*o**3 - 2*o**5 + 3*o*