*(b + 1)*(b + 3)/7
Let y(d) be the second derivative of -d**8/420 + d**7/210 + d**3/3 - 8*d. Let j(h) be the second derivative of y(h). Factor j(u).
-4*u**3*(u - 1)
Suppose 3*g = 5*y - 120, 3*y + 2*g - 65 = 26. Factor 2*v - 12 - y*v**2 + 4*v + 8*v + 22*v.
-3*(3*v - 2)**2
Let p(a) be the first derivative of 1/18*a**3 - 1/24*a**4 - 1/30*a**5 + 1/36*a**6 + 0*a + 0*a**2 - 2. Suppose p(v) = 0. Calculate v.
-1, 0, 1
Let o(v) be the third derivative of -1/60*v**5 + 1/3*v**3 - 4*v**2 + 0 - 1/90*v**6 + 0*v + 1/12*v**4. Let p(y) be the first derivative of o(y). Factor p(u).
-2*(u + 1)*(2*u - 1)
Let r be 5/2*(-8)/(-10). Find z such that 2*z + 0*z**2 - z - z**2 + 2*z**2 - r*z**3 = 0.
-1/2, 0, 1
Let d(h) = -h**3 - 7*h**2 - 2*h - 11. Let n be d(-7). Let r be 1 - n - 12/(-3). Factor -2/5 + 2/5*y**r + 0*y.
2*(y - 1)*(y + 1)/5
Suppose 0 = -47*c + 83*c. Let -1/4*a**2 + 1/4*a**5 + 3/4*a**3 + 0*a - 3/4*a**4 + c = 0. What is a?
0, 1
Let f = -40053608/15 - -2667609. Let v = f + 2633. Solve 4/15 + 32/15*r**2 + 4/15*r**3 - 12/5*r**4 + 6/5*r**5 - v*r = 0 for r.
-1, 1/3, 2/3, 1
Suppose 3*w - 9 = v, -15*w + 10 = 2*v - 14*w. Solve 6*p - 15/4*p**2 + v = 0 for p.
-2/5, 2
Let w = -153 - -156. Suppose 7*l = 2*l + 20. Factor -q**2 + 2*q**l - w*q**2 + 2*q**2 + 2*q**3 - 2*q.
2*q*(q - 1)*(q + 1)**2
Suppose -c = 5*i - 14, 0*i = i + 2*c - 10. Let g(m) = -85*m**2 - 120*m + 170. Let n(l) = -5*l**2 - 7*l + 10. Let d(s) = i*g(s) - 35*n(s). Solve d(x) = 0 for x.
-2, 1
Let m(i) = i**3 + i**2. Let b(l) = 17*l**2 + 4*l + 43*l**3 + 2 - 31*l**3 - 2. Let o(k) = 4*b(k) - 36*m(k). Factor o(g).
4*g*(g + 2)*(3*g + 2)
Let i be (81/18 + -4)*0. Let x(z) be the third derivative of 1/336*z**8 + i*z**4 - 1/210*z**7 + 0*z**5 + 3*z**2 + 0*z**3 + 0 + 0*z**6 + 0*z. Factor x(c).
c**4*(c - 1)
Factor 0 + 3/7*b**3 - 24/7*b + 6/7*b**2.
3*b*(b - 2)*(b + 4)/7
Let c(p) = -p**4 + p**3 - p**2 + p. Let l(i) = -4*i**5 - 8*i**4 + 48*i**3 + 208*i**2 + 140*i. Let k(u) = -4*c(u) - l(u). Find n, given that k(n) = 0.
-3, -1, 0, 4
Let g(t) be the second derivative of -5*t**7/168 + 7*t**6/120 + 13*t**5/80 - 11*t**4/48 - t**3/3 + t**2/2 - 4*t + 3. Solve g(p) = 0 for p.
-1, 2/5, 1, 2
Let b(p) be the first derivative of -13 + 9/4*p + 15/4*p**2 + 9/8*p**4 + 3*p**3 + 3/20*p**5. Factor b(t).
3*(t + 1)**3*(t + 3)/4
Let v = 2 - 4. Let t be ((-3)/v - 1)*0. Factor -8 + 0 + 2*y**2 + t*y**2.
2*(y - 2)*(y + 2)
Let b(w) be the first derivative of 2*w**5/35 - 5*w**4/7 + 16*w**3/21 + 10*w**2/7 - 18*w/7 + 106. Factor b(d).
2*(d - 9)*(d - 1)**2*(d + 1)/7
Find o such that -128*o**2 + 44*o + 22*o**3 + 54*o**3 - 15 + 15 + 8*o**4 = 0.
-11, 0, 1/2, 1
Let p(t) be the first derivative of 3721*t**3 + 366*t**2 + 12*t - 865. Let p(i) = 0. What is i?
-2/61
Let s be (-2)/(-38) - 205/(-76). Solve n - 2*n**2 + 0 - s*n**3 - 3/4*n**4 = 0.
-2, 0, 1/3
Let y = 58 - 18. Let r = y - 119/3. Factor -1/3 - 2/3*m - r*m**2.
-(m + 1)**2/3
Suppose p - 5*h + 8 + 3 = 0, 2*h = 6. What is d in p*d**4 - 10*d**3 - d**5 - 2*d**3 - 3*d**4 - 8*d**2 - 7*d**4 = 0?
-2, 0
Let w(j) be the first derivative of j**4/16 + j**3/3 - j**2/8 - j + 74. Factor w(z).
(z - 1)*(z + 1)*(z + 4)/4
Let -8/7 + 38/7*g**3 - 50/7*g**2 - 2*g**4 + 32/7*g + 2/7*g**5 = 0. What is g?
1, 2
Let p(h) be the second derivative of -20*h - 7/6*h**6 - 15/14*h**7 + 1/2*h**5 + 0 + 0*h**4 + 0*h**2 + 0*h**3. Factor p(d).
-5*d**3*(d + 1)*(9*d - 2)
Let g(t) = 6*t**4 - 72*t**2 + 101*t + 5. Let r(m) = -9*m**4 + 108*m**2 - 151*m - 7. Let f(h) = -7*g(h) - 5*r(h). Let f(w) = 0. What is w?
-4, 0, 2
Let j(r) be the third derivative of -1/4*r**3 + 0 + 16*r**2 + 1/16*r**4 + 0*r - 1/160*r**5. Factor j(y).
-3*(y - 2)**2/8
Factor 35/4*y**3 + 2057/4*y + 1/4*y**4 + 429/4*y**2 + 1331/2.
(y + 2)*(y + 11)**3/4
Let u be 36/14*(-6 + 360/54). Factor -18/7*m**2 - 2/7 - u*m.
-2*(3*m + 1)**2/7
Let u(f) be the second derivative of 0*f**3 - 1/36*f**4 + 13/120*f**5 + 5*f + 0 + 2/63*f**7 + 0*f**2 - 11/90*f**6. Find h such that u(h) = 0.
0, 1/4, 1/2, 2
Let x(v) = -v**2 - 2. Let k(m) = 10*m**2 - 330*m + 5455. Let f(l) = k(l) + 5*x(l). Suppose f(z) = 0. What is z?
33
Let c be (2/(-4))/((-3)/12). Factor -3*g**c + 64*g**3 - 34*g**3 - 33*g**3.
-3*g**2*(g + 1)
Suppose -4*i - 12 = -32. Let g(m) be the third derivative of 1/33*m**4 + 0*m + 0 + 5*m**2 - 1/330*m**i - 1/11*m**3. Factor g(v).
-2*(v - 3)*(v - 1)/11
Let r(w) be the second derivative of w**5/25 - 2*w**4/15 - 42*w**3/5 + 6*w - 36. Determine m, given that r(m) = 0.
-7, 0, 9
Let w(h) = -h**2 + 11*h - 9. Let m be w(12). Let u = -8 - m. Suppose -3 + u*r - 23*r + 16*r - 3*r**2 = 0. What is r?
1
Let p = -84 + -1. Let c be -8 + 2 + (-646)/p. Factor -c*f**2 + 4/5 - 6/5*f**3 + 2/5*f.
-2*(f + 1)**2*(3*f - 2)/5
Let x(b) be the first derivative of 12/5*b**5 - 3/2*b**2 + 0*b - 1/2*b**6 - 9/2*b**4 + 7 + 4*b**3. Factor x(j).
-3*j*(j - 1)**4
Suppose 2*a + 4*l - 4 = 0, -7*a + 2*a = 5*l - 5. Let n be (a - -3 - 2)*(-1 + 1). Factor 1/3*d**2 + n + 1/3*d.
d*(d + 1)/3
Let w(i) = -i**2 - 13*i + 3. Let h be w(-10). Solve -33*f + 2*f**3 + h*f - 2*f**5 = 0.
-1, 0, 1
Let n = -19 + 10. Let x(d) = -d - 7. Let f be x(n). Let -2*p - p + 0*p**5 + 0 - 2 - p**5 + 2*p**f + 4*p**3 = 0. Calculate p.
-1, 1, 2
Let l(y) be the first derivative of 2*y**3/15 + 52*y**2/5 + 1352*y/5 + 209. Find p such that l(p) = 0.
-26
Let f(b) be the third derivative of -1/2*b**4 - 6*b**2 + 1/30*b**5 + 0*b + 0 + 5/3*b**3. Determine u so that f(u) = 0.
1, 5
Let n = 10 - 7. Factor -4*k**3 + n*k + 2 - 2*k**4 + 0*k + k + 0*k**4.
-2*(k - 1)*(k + 1)**3
Let i(a) = 30*a**5 - 35*a**4 + 50*a**3 + 125*a**2 - 280*a + 160. Let n(q) = -q**5 - q**2. Let t(k) = -i(k) - 25*n(k). Solve t(x) = 0.
-2, 1, 2, 4
Let r be 1*6/(-6)*((-22)/4)/11. Determine t, given that -1/4*t**3 - r*t**2 + 0 + 3/4*t = 0.
-3, 0, 1
Suppose -27*o + 22*o = 0. Suppose -7*z + 2*z = o. Determine x, given that 3*x**4 - x + x**3 + 0 - 2*x**4 + z*x**3 + 2 - 3*x**2 = 0.
-2, -1, 1
Let j(s) be the second derivative of s**4/3 + 10*s**3/3 - 12*s**2 + 20*s. Factor j(q).
4*(q - 1)*(q + 6)
Let r(c) = -2*c**3 + c**2 + c + 2. Let z be r(-1). Let h(s) be the second derivative of 5*s + 1/102*s**z - 2/17*s**2 + 1/51*s**3 + 0. What is j in h(j) = 0?
-2, 1
Let u = -4924 - -19701/4. Find m, given that u*m**2 + 7/4*m**4 + 5/4*m**5 + 3/2*m + 0 - 23/4*m**3 = 0.
-3, -2/5, 0, 1
Suppose -2*x = 2*h, -5*x + 4*x = -3*h + 4. Let w(k) = k**3. Let v(u) = 329*u**3 - 144*u**2 + 16*u. Let d(r) = h*v(r) - 5*w(r). Factor d(j).
4*j*(9*j - 2)**2
Let c(b) = b**3 + 13*b**2 - 3*b - 3. Let h(m) = 12*m**2 - 4*m - 4. Let t(j) = -4*c(j) + 3*h(j). Determine z so that t(z) = 0.
-4, 0
Let j be ((-36)/99)/(20/55*(-3)/6). Find f, given that 0*f - 2/11*f**4 + 0 - 2/11*f**j + 4/11*f**3 = 0.
0, 1
Let d = 12 + -12. Suppose d = -q - 2*l + 3*l + 4, 5*q = 4*l + 20. Factor -3*b + 2*b + 8 + 6*b**2 - 7*b - q*b**2.
2*(b - 2)**2
Let v be -2*-3*26/12. Suppose -19*z**4 - 10*z**3 - 5*z**2 + 15*z**4 + 48*z + v*z**2 - 6*z**3 - 36 = 0. What is z?
-3, 1
Let s = -41 - 30. Let z = s + 74. Find b, given that -8/7 - 26/7*b**2 + 32/7*b + 6/7*b**z = 0.
1/3, 2
Let z be ((-1)/(-8))/((9 - 11) + 3). Let n(b) be the second derivative of -3/32*b**4 + 0 - 4*b - 1/240*b**6 - z*b**2 - 1/32*b**5 - 7/48*b**3. Factor n(f).
-(f + 1)**3*(f + 2)/8
Let v(r) be the first derivative of -3*r**5/5 - 6*r**4 - 9*r**3 + 27*r**2 - 342. Solve v(l) = 0.
-6, -3, 0, 1
Let b(z) be the first derivative of 2/11*z**3 + 0*z - 16 + 2/55*z**5 - 3/22*z**4 - 1/11*z**2. Factor b(g).
2*g*(g - 1)**3/11
Let b(d) be the first derivative of -5*d**4/4 + 10*d**3/3 + 5*d**2/2 - 10*d + 66. Solve b(i) = 0.
-1, 1, 2
Let l be (-259)/(-444)*32/28. Find o, given that 26/3*o**2 + l*o**4 - 12 - 2*o + 14/3*o**3 = 0.
-3, -2, 1
Let j be (-2595)/28*-1*32/12. Let r = 248 - j. Suppose -2/7*q**3 - r*q**2 + 0 - 4/7*q = 0. Calculate q.
-2, -1, 0
Let x(j) = 6*j**4 + 168*j**3 + 1170*j**2 - 154*j - 1176. Let b(c) = 4*c**4 + 112*c**3 + 780*c**2 - 102*c - 784. Let d(f) = -7*b(f) + 5*x(f). Factor d(i).
2*(i - 1)*(i + 1)*(i + 14)**2
Let f(u) = 4*u + 6. Let i be f(-2). Let h be (i - (-8)/4)/(0 + 1). Find q, given that 0*q**3 + 0 - 1/3*q**2 + h*q + 1/3*q**4 = 0.
-1, 0, 1
Let h(y) be the second derivative of y**5/12 + 5*y**4/12 + 5*y**3/6 + y**2 - 3*y. Let z(f) be the first derivative of h(f). Determine n so that z(n) = 0.
-1
Let g = -213 + 215. 