, -1, 1
Suppose 0 = s + 8 - 19. Factor s*r**2 + 4*r**3 - 16*r - 22*r**2 - r**2.
4*r*(r - 4)*(r + 1)
Let t = 25741/36 - 715. Let p(w) be the third derivative of -1/18*w**3 + 0 - 2*w**2 + 1/630*w**7 + 1/180*w**6 + 0*w**5 - t*w**4 + 0*w. Solve p(q) = 0.
-1, 1
Let b(v) = -v**3 + 10*v**2 - 15*v - 4. Let h be b(7). Suppose 121*l**4 + h*l**4 + 4*l + 257*l**4 - 144*l**3 - 6*l**2 = 0. Calculate l.
-2/13, 0, 1/4
Let q(y) = 4*y**4 + 8*y**3 - 10*y**2 + 2*y. Let j(r) = -r**4 - r. Let v(h) = -2*j(h) - q(h). Factor v(o).
-2*o**2*(o - 1)*(o + 5)
Let k = 328 - 328. Let d(c) be the third derivative of 0*c - 1/20*c**5 - 3/8*c**4 + k - c**3 + 4*c**2. What is s in d(s) = 0?
-2, -1
Suppose w = -c + 5, 0*w = 3*c - 3*w - 27. Let f = c + -4. Solve -3*x**4 - 9*x**2 + 11*x**f + x**3 - 3*x**3 + 3*x = 0 for x.
0, 1
Let s(h) be the first derivative of 0*h**3 + 3/2*h**2 - 20 - 1/4*h**4 + 2*h. Solve s(a) = 0.
-1, 2
Let z(x) = x**4 + 157*x**3 - 1450*x**2 - 157*x + 1439. Let i(n) = -4*n**4 - 472*n**3 + 4352*n**2 + 472*n - 4316. Let o(g) = 5*i(g) + 16*z(g). Factor o(l).
-4*(l - 19)**2*(l - 1)*(l + 1)
Let u = 68 + -84. Let j be 5/(60/u)*(-9)/14. Factor -3/7 - 3/7*s**2 - j*s.
-3*(s + 1)**2/7
Suppose -41 + 37 = -4*b. Factor 7*h**2 + 7 - h**2 + b - 2*h**4 + 4*h**3 + 27*h - 43*h.
-2*(h - 2)*(h - 1)**2*(h + 2)
Let l(m) = -2*m. Let y(q) = -4*q - 34*q**2 - 30*q**2 + 96*q**2 - 33*q**2. Let g be (2 + -7)*2/(-2). Let d(j) = g*l(j) - 2*y(j). Find b, given that d(b) = 0.
0, 1
Let y = -60 + 64. Let g(t) be the third derivative of 0 + 0*t**y + 0*t**3 + 0*t**5 - 2*t**2 + 0*t + 0*t**6 - 1/210*t**7 - 1/336*t**8. Let g(p) = 0. What is p?
-1, 0
Let d(w) be the first derivative of -w**3 - 9*w**2 - 27*w - 60. Determine j so that d(j) = 0.
-3
Let r(j) be the third derivative of 13*j**6/300 + 2*j**5/25 - j**4/60 + 385*j**2 + j. Let r(x) = 0. What is x?
-1, 0, 1/13
Let v = -41845 - -41845. Suppose v*w**3 + 0*w + 0 - 2/9*w**4 + 2/9*w**2 = 0. What is w?
-1, 0, 1
Let r(j) be the third derivative of -j**8/1008 - 2*j**7/63 - 11*j**6/30 - 16*j**5/9 - 32*j**4/9 + j**2 - 43*j. Solve r(v) = 0.
-8, -2, 0
Let x(j) = 23*j**2 + 41*j + 41. Suppose -3*o = -2 - 13. Suppose o = -3*y - 13. Let i(s) = -8*s**2 - 14*s - 14. Let c(w) = y*x(w) - 17*i(w). Factor c(p).
-2*(p + 2)**2
Determine a, given that 0*a + 76/11*a**3 - 74/11*a**2 + 0 - 2/11*a**4 = 0.
0, 1, 37
Suppose -31*d + 10 = -26*d. Let f(r) be the third derivative of 1/36*r**4 + 0*r**3 - 5*r**d - 1/180*r**6 + 0*r**5 + 0 + 0*r. Solve f(b) = 0 for b.
-1, 0, 1
Let u(g) be the first derivative of -1/9*g**2 + 38 + 2/27*g**3 - 4/9*g. Suppose u(x) = 0. What is x?
-1, 2
Solve 98*g + 0 - 7/2*g**2 - 5*g**3 + 1/2*g**4 = 0.
-4, 0, 7
Let d(o) be the second derivative of -o**4/30 - 13*o**3/15 - 42*o**2/5 - 15*o + 2. Determine v so that d(v) = 0.
-7, -6
Let h(o) = 3*o**3 + 35*o**2 - 5*o + 10. Let s(l) = 2*l**3 + 18*l**2 - 2*l + 4. Let i(z) = -2*h(z) + 5*s(z). Factor i(x).
4*x**2*(x + 5)
Suppose 10 = -2*u + 6*r - r, -3*u + 35 = 5*r. Let 13 + 3*i**2 + 35*i - 30*i**3 - 5*i**u - 13*i**2 - 28 + 25*i**4 = 0. Calculate i.
-1, 1, 3
Let q(o) = -43*o**2 - 10*o - 58. Let c(f) = 21*f**2 + 5*f + 26. Let k(y) = -13*c(y) - 6*q(y). Factor k(z).
-5*(z + 1)*(3*z - 2)
Let s be ((-6)/96)/(66/(-12) + 5). Factor -7/8*n**2 + s*n**3 - 5/8 + 11/8*n.
(n - 5)*(n - 1)**2/8
Let a(f) = -f**3 - 7*f**2 + 9*f + 10. Let y be a(-8). Factor -14*r - 5*r**y - 3*r**2 + 5 + 3 + 14*r**3.
2*(r - 1)*(r + 1)*(7*r - 4)
Let m be (0 - -1)*-2 + (-3800)/60. Let x = 66 + m. Factor x*i**3 + 2/3*i + 0 - 4/3*i**2.
2*i*(i - 1)**2/3
Let g(i) be the second derivative of -i**5/60 - 2*i**4/9 + i**3/18 + 4*i**2/3 + 230*i + 2. Determine w so that g(w) = 0.
-8, -1, 1
Let p(q) be the third derivative of -11/420*q**7 - 4*q**2 - 1/120*q**6 + 0*q**4 - 3/224*q**8 + 0*q + 0*q**5 + 0*q**3 + 0. Factor p(j).
-j**3*(j + 1)*(9*j + 2)/2
Let j be 9*(2 + 2)/4. Suppose -2*l = -2*s - 6, 4*l + 5*s = j - 24. Factor 2/11*n**2 + l - 2/11*n.
2*n*(n - 1)/11
Let a(y) = 3*y - 4*y**3 + 70*y**2 - 37*y**2 - 32*y**2 + 2. Let z be a(-1). Solve -18*j**3 + 0*j - 6*j**2 - 27/2*j**z + 0 = 0.
-2/3, 0
Suppose -3*k + 33 = 12. Suppose 43*m - 48*m + 10 = 0. Suppose p - 5*p**2 + p**m - p**2 + 19*p**4 + k*p**3 - 22*p**4 = 0. What is p?
0, 1/3, 1
Let c = -18 + 20. Let m be c/(-3)*(9 + -12). Factor q - 4*q + 4*q - 2*q - 2 + q**m.
(q - 2)*(q + 1)
Suppose -3*z + 1131 = -16*z. Let d = -85 - z. Find h such that 0*h + 1/2*h**d - 1/2 = 0.
-1, 1
Let i(l) = 2*l**2 - 50*l + 53. Let y(j) = 3*j**2 - 51*j + 54. Let c(r) = -6*i(r) + 5*y(r). Factor c(n).
3*(n - 1)*(n + 16)
Let t(h) = h**2 + 175*h + 3. Let d be t(0). What is u in 10/9*u**2 - 2/9*u**d - 14/9*u + 2/3 = 0?
1, 3
Factor -63*z + 2*z**2 - 71*z - 66*z + 64 + 208*z - 4*z**2.
-2*(z - 8)*(z + 4)
Let i = -966 - -969. Let u(w) be the first derivative of 12*w**2 + 5 + 36*w + 4/3*w**i. What is v in u(v) = 0?
-3
Let t = -2023 + 6070/3. Solve 0 - t*y**3 - 1/3*y**2 + 0*y = 0 for y.
-1, 0
Find p, given that -56/11*p**3 + 0*p - 16/11*p**2 + 0 + 68/11*p**4 - 18/11*p**5 = 0.
-2/9, 0, 2
Let b(r) be the second derivative of -7/3*r**2 - 3*r + 0 - 8/9*r**3 - 1/18*r**4. Suppose b(v) = 0. What is v?
-7, -1
Suppose 0 = 5*p + v - 7 + 9, 3*v = -2*p - 6. Let s(w) = -w**3 - w**2 - w + 2. Let c be s(p). Find b, given that -2*b + c*b + 2*b - 2*b**2 = 0.
0, 1
Factor 2 + 62*f**2 - 17*f**2 - 313*f + 25 + 37*f + 9.
3*(f - 6)*(15*f - 2)
Factor 3/2*j**3 - 309/2*j + 0 - 153*j**2.
3*j*(j - 103)*(j + 1)/2
Factor -d**4 + 0 - 1/2*d**5 + 0*d + 0*d**2 - 1/2*d**3.
-d**3*(d + 1)**2/2
Let f(q) = 3*q - 12. Let n be f(5). Let c(i) be the second derivative of 1/24*i**4 - 1/4*i**n + 0 + 1/2*i**2 + 3*i. What is t in c(t) = 0?
1, 2
Let j = -17138 - -86157/5. Let q = j - 93. Factor 4/5*a**2 - 4/5 - 2/5*a + q*a**3.
2*(a - 1)*(a + 1)*(a + 2)/5
Let w(b) be the first derivative of -3*b**5/40 + b**4 + 9*b**3/4 - 30*b + 8. Let v(t) be the first derivative of w(t). Factor v(i).
-3*i*(i - 9)*(i + 1)/2
Let b be -9*(0 + 0 - 15/5). Let 87*o + b*o**3 + 3*o**5 - 87*o - 18*o**4 = 0. Calculate o.
0, 3
Let g = 0 + 7. Let w(k) = 5*k + 19. Let m be w(-3). Determine r, given that g*r**3 + m*r + 3*r**2 - 16*r**2 - 3*r**2 = 0.
0, 2/7, 2
Let k = 111 - 69. Let d = 44 - k. Find q, given that 2/5*q**4 - 6/5*q**2 - d*q + 2/5*q**3 - 4/5 = 0.
-1, 2
Let s(t) be the second derivative of -t**4/12 - t**3/2 + 5*t**2 + 105*t - 2. Find x such that s(x) = 0.
-5, 2
Let v(u) be the second derivative of 7*u**4/12 + 2*u**3/3 + 5*u**2/2 + 14*u. Let o(d) = -6*d**2 - 4*d - 4. Let j(p) = 5*o(p) + 4*v(p). Factor j(r).
-2*r*(r + 2)
Find y, given that 12*y**3 + 3*y**3 - 32*y**2 + y**5 - 2*y**5 - 3*y**5 - 64*y + 17*y**3 + 64 + 4*y**4 = 0.
-2, 1, 2
Let f(q) be the first derivative of q**6/40 + q**5/20 - q**4/2 - 2*q**3 + 7*q**2/2 + 11. Let s(d) be the second derivative of f(d). Factor s(p).
3*(p - 2)*(p + 1)*(p + 2)
Let g be (-628)/(-180)*-13 + (-6)/(-27). Let h = g - -145/3. Find l such that 12/5*l**2 + 4/5 - h*l**4 - 16/5*l + 16/5*l**3 = 0.
-1, 1/2, 1
Suppose -2*h + 22 = 3*i, 2*i - 3*h = 4*i - 23. Let d be i + -1 + 4 + 22/(-4). Factor -3/2*a**2 + 3/2*a**3 - 3/2*a + d.
3*(a - 1)**2*(a + 1)/2
Let i(g) be the second derivative of g**7/840 - g**6/40 + 9*g**5/40 + g**4/2 - 5*g. Let z(s) be the third derivative of i(s). Factor z(k).
3*(k - 3)**2
Let z(g) be the third derivative of 17*g**2 + 1/30*g**6 + 4/3*g**3 - 8/45*g**5 + 0*g + 0 - 5/18*g**4. Let z(s) = 0. Calculate s.
-1, 2/3, 3
Let z = 160 + -97. Let f = -60 + z. Solve 24/5*x**4 + 0*x - 2*x**5 + 4/5*x**2 - 18/5*x**f + 0 = 0.
0, 2/5, 1
Suppose -3*v - 2*d + 4 = -3, -5 = 5*d. Suppose 4*o - 6 = k - 2, -v*o + 18 = 3*k. Factor -2*t - 4*t**3 + 2*t**5 + 2*t + o*t.
2*t*(t - 1)**2*(t + 1)**2
Let l(y) be the first derivative of 4*y**3/3 + 502*y**2 - 1008*y + 872. Let l(u) = 0. Calculate u.
-252, 1
Let m = -8621 + 8621. Factor m + 4/3*l**3 + 0*l + 2/3*l**5 + 0*l**2 + 2*l**4.
2*l**3*(l + 1)*(l + 2)/3
Let y(s) be the first derivative of s**6/3 - 2*s**5 + 2*s**4 - 96. Factor y(d).
2*d**3*(d - 4)*(d - 1)
Let i(f) = -8*f + 2. Let b be i(-5). Let s be ((-10)/b)/((-20)/72). Factor 0 + s*w**3 - 10/7*w**2 + 4/7*w.
2*w*(w - 1)*(3*w - 2)/7
Let z(q) be the first derivative of -q**4/20 + 4*q**3/15 + q**2/10 - 4*q/5 - 85. Factor z(l).
-(l - 4)*(l - 1)*(l + 1)/5
Suppose -4*d - 1044 = -1064. Let g(r) be th