3 + 380/3*d + 55/3*d**2 - 5/3*d**3 = 0. Calculate d.
-4, -1, 16
Suppose 8*p = 11*p - 6. Factor 5*u**p + 15 - 15 - 8*u + 18*u.
5*u*(u + 2)
Let z = -617927/9 + 68587. Let o = z - -72. Suppose 0 - 2/9*y**3 - o*y**2 - 2/9*y = 0. What is y?
-1, 0
Suppose -41454/5 + 966*y - 178/5*y**2 + 2/5*y**3 = 0. Calculate y.
21, 47
Let s(v) be the first derivative of -2/35*v**5 + 0*v + 0*v**2 + 3/14*v**4 + 29 - 4/21*v**3. Let s(z) = 0. What is z?
0, 1, 2
Suppose 0 = -w + 5*f - 3 - 10, -5*f = -4*w - 22. Let u(s) = s**2 - 8. Let j be u(w). Factor -17*a**3 - 15*a**3 - j + 10*a**2 + 7 + 34*a**3 + 14*a.
2*(a + 1)**2*(a + 3)
Let q = -61 + 175. Let b = q + -109. What is u in 27*u + 9*u**4 - 3*u**b + 3*u**2 - 9*u**3 - 27*u = 0?
0, 1
Let p be (-1)/6*3*-6. Suppose -b + 3*m + p = -2*m, -3*b + 9 = -4*m. Factor -36 - 7*u**2 - 7*u**3 - 12*u + 27*u**2 + b*u**3.
-4*(u - 3)**2*(u + 1)
Let h be 120/(-40) - (2 - (-136)/(-29)). Let q = h - -199/174. Solve 2/3*y + 1/6*y**2 - q = 0 for y.
-5, 1
Suppose 0 = -3*q - 3 + 12. Let k(d) = d**3 + 49*d**2 + 54*d + 11004. Let z be k(-52). What is j in -112/3*j - 124/3*j**2 - 16/3 + z*j**q = 0?
-2/7, -2/9, 1
Let p(j) = 7*j**2 - 6041*j - 2458624. Let z(q) = -2*q**2 + 1505*q + 614656. Let u(l) = 6*p(l) + 22*z(l). Factor u(y).
-2*(y + 784)**2
Let h(m) = 0*m**3 + 70*m**4 + m**2 - 71*m**4 - 2 + 3*m**3 + m**5 - 6*m**3. Let o(y) = y**3 + 1. Let f(x) = -h(x) - 2*o(x). Factor f(b).
-b**2*(b - 1)**2*(b + 1)
Let t be (-11)/22*(-7)/((-28)/(-1168)). Let q = t + -567/4. Factor 4*d**2 + 7/4*d**3 - 3/2 - q*d.
(d - 1)*(d + 3)*(7*d + 2)/4
Let b = -924599/6 + 154100. Determine u, given that -21/2 - 1/6*u**3 + 11/2*u - b*u**2 = 0.
-7, 3
Let s be ((-40)/44)/(4/(-22)). Let d(x) be the second derivative of 3/2*x**4 + 13*x + 0*x**2 + 0 + 16/15*x**6 + 12/5*x**s + 1/3*x**3. Factor d(z).
2*z*(z + 1)*(4*z + 1)**2
Let m(t) be the first derivative of -t**4/18 + 16*t**3/27 - 17*t**2/9 + 20*t/9 - 3418. Let m(q) = 0. Calculate q.
1, 2, 5
Let h(x) be the second derivative of 4/25*x**5 + 2/105*x**7 + 0 - 8/75*x**6 - 2/3*x**3 + 4/5*x**2 + 2/15*x**4 + 14*x. Suppose h(y) = 0. What is y?
-1, 1, 2
Suppose -3*d - 18 = -9*d. Factor 4*g**2 + 7 + 13*g**3 - 15*g**d - 7 - 2*g.
-2*g*(g - 1)**2
Let w be (1 - 2) + -4 - (78/(-18) + -1). Let u(m) be the second derivative of w*m**3 + 0 - 2/11*m**2 + 7/110*m**5 - 14*m - 8/33*m**4. Factor u(b).
2*(b - 1)**2*(7*b - 2)/11
Let d(q) be the third derivative of 2/9*q**4 + 11/2205*q**7 + 16/63*q**3 + 43/1260*q**6 + 73/630*q**5 + 0 - 46*q**2 + 1/3528*q**8 + 0*q. Factor d(l).
2*(l + 1)**3*(l + 4)**2/21
Factor -16 - 2/7*z**2 + 36/7*z.
-2*(z - 14)*(z - 4)/7
Let g be (-5470)/2172*(-14)/(-140). Let z = -1/543 - g. Factor -1/4*f**4 + 1/4*f + 0 - z*f**3 + 1/4*f**2.
-f*(f - 1)*(f + 1)**2/4
Let m(d) be the second derivative of -1/75*d**6 - 1/420*d**7 + 7 - d + 0*d**2 + 2/15*d**3 + 7/60*d**4 + 3/200*d**5. Determine h so that m(h) = 0.
-4, -1, 0, 2
Let n(w) be the third derivative of w**8/168 + 7*w**7/30 - 19*w**6/12 + 169*w**5/60 + 13*w**4/12 - 28*w**3/3 - 1273*w**2. Determine x so that n(x) = 0.
-28, -1/2, 1, 2
Suppose -4*z + 8*m - 7*m + 74 = 0, 0 = -4*z - m + 70. Factor 4*s**2 - z*s + 33*s - 9*s**3 + 38*s**2.
-3*s*(s - 5)*(3*s + 1)
Let x(n) be the third derivative of 70*n**2 - 1/3*n**3 + 5/72*n**4 + 0 + 1/180*n**5 + 0*n. Factor x(u).
(u - 1)*(u + 6)/3
Let h = 18 + -15. Suppose 0 = -h*o + 4 + 14. Factor u**2 - 3 + 10*u - o*u - 2.
(u - 1)*(u + 5)
Suppose -2*v - 14 = 10*i - 12*i, 20 = -5*v. Let s(b) be the first derivative of 8/5*b - 4/15*b**i + 19 - 2/5*b**2. Suppose s(n) = 0. What is n?
-2, 1
Let g(d) = 7*d**3 - 23*d**2 + 3*d + 3. Let y(h) = 91*h**2 - 8925*h**3 + 8900*h**3 - 11 - 13*h + 2*h. Let o(c) = 22*g(c) + 6*y(c). Suppose o(n) = 0. What is n?
-10, 0
Let x(v) be the first derivative of v**5/140 + v**4/6 - v**3/42 - v**2 - 22*v - 13. Let t(h) be the first derivative of x(h). Suppose t(s) = 0. What is s?
-14, -1, 1
Factor -147*l + 1127*l**2 + 1147*l**2 - 2275*l**2 + 56*l.
-l*(l + 91)
Let x(y) = -4*y**3 + 74*y**2 + 196*y + 85. Let h(g) = 9*g**3 - 144*g**2 - 399*g - 169. Let s(t) = -6*h(t) - 14*x(t). Find j such that s(j) = 0.
-1, 88
Suppose 5770*d - 5756*d = 28. Let -14*v**5 - 8*v**4 + 8/7*v + 0 + 90/7*v**3 + 8*v**d = 0. What is v?
-1, -2/7, 0, 1
Let k be (-20)/(-24 + -9 + 27). Let x(w) be the third derivative of 0 - 1/12*w**5 + k*w**3 - 12*w**2 + 0*w + 0*w**4. Let x(i) = 0. Calculate i.
-2, 2
Let b = 3383 - 3378. Let k(f) be the second derivative of -f**2 + 5/9*f**3 - 1/18*f**4 - 1/30*f**5 + b*f + 0. Factor k(y).
-2*(y - 1)**2*(y + 3)/3
Suppose -9*d - 107 = -323. Factor 11*z + 3*z**3 + 18*z**2 - d - 2*z**3 + 123 + 29 + 85*z.
(z + 2)*(z + 8)**2
Let y(o) = 7*o**3 - 856*o**2 - 7*o + 896. Let h(m) = -m**3 - 5*m**2 + m - 5. Let z(g) = -4*h(g) - y(g). Factor z(s).
-3*(s - 292)*(s - 1)*(s + 1)
Let k(g) be the third derivative of 37/48*g**4 - 17/30*g**5 + 0*g + 1/48*g**6 + 13/6*g**3 - 5 + 4*g**2. Factor k(i).
(i - 13)*(i - 1)*(5*i + 2)/2
Let b(j) be the third derivative of j**5/210 - 73*j**4/7 + 63948*j**3/7 - 39*j**2 - 30. Let b(u) = 0. What is u?
438
Factor -8/3 + 0*z + 1/6*z**2.
(z - 4)*(z + 4)/6
Let l = 207988/5 - 415961/10. Let x(t) = -t**2 + 4*t + 3. Let v be x(4). Suppose 3/2*r**2 + l*r - v = 0. Calculate r.
-2, 1
Let y(u) be the third derivative of 0*u + 1/330*u**5 + 0 + 0*u**3 + 1/132*u**4 + 99*u**2. Find f such that y(f) = 0.
-1, 0
Let z(c) = c**3 - c**2 + c + 4. Let p be z(0). Determine f so that 12*f + 27*f**p - 43*f**4 + 18*f**4 + 12*f**3 + 22*f**2 = 0.
-3, -2, -1, 0
Suppose -1936 - 1496/3*d + 86/3*d**3 + 2/3*d**4 + 868/3*d**2 = 0. Calculate d.
-22, -2, 3
Suppose 1872300/7 + 3/7*d**2 - 4740/7*d = 0. Calculate d.
790
Suppose 3*s = 5*h - 450, 2*h = 6*s + 160 + 20. Let f be 28/24*(2 - h/63). Solve 4/3*p**2 + 2/3*p + 0 + f*p**3 = 0 for p.
-1, 0
Let w(x) be the second derivative of -1/2*x**2 - 1/48*x**4 + 0 + 5/24*x**3 - 49*x. Factor w(a).
-(a - 4)*(a - 1)/4
Let b(w) be the first derivative of 3*w**2 + 8*w + 1/3*w**3 - 41. Solve b(d) = 0 for d.
-4, -2
Let j be (13800/(-2898))/(-2*20/112). Determine h so that 146*h**2 + 1/3*h**4 + 361/3 + j*h**3 + 760/3*h = 0.
-19, -1
Suppose 2*h - 16 + 4 = 0. Let m be 5 - h*(-2)/(-6). Determine j so that 12*j**m + 1 - 14*j + 8*j - 1 + 21*j**2 = 0.
-2, 0, 1/4
Let l(w) be the second derivative of -w**6/60 + 37*w**5/20 + 19*w**4/6 - 37*w**3/6 - 75*w**2/4 - 141*w. Factor l(f).
-(f - 75)*(f - 1)*(f + 1)**2/2
Let l(j) be the second derivative of -j**7/315 + j**6/30 - 4*j**5/45 - 251*j**2/2 + 35*j. Let w(z) be the first derivative of l(z). Factor w(y).
-2*y**2*(y - 4)*(y - 2)/3
Suppose -3*m + 27 = d, 24 = 3*m - 4*d + 6*d. Let w(x) be the first derivative of -1/2*x**3 + m - 3*x + 9/4*x**2. Factor w(n).
-3*(n - 2)*(n - 1)/2
Let c(u) be the third derivative of u**5/60 + 67*u**4/12 - 137*u**3/2 - 2673*u**2 + 1. Solve c(j) = 0 for j.
-137, 3
Let b = -721583 + 721585. Solve -123/8*u**4 - 48*u**b - 36*u + 0 + 395/4*u**3 + 5/8*u**5 = 0 for u.
-2/5, 0, 1, 12
Let a(u) be the first derivative of -u**4/20 + 198*u**3/5 - 58806*u**2/5 + 7762392*u/5 - 3248. Factor a(q).
-(q - 198)**3/5
Let a(t) = 11*t**3 - 1417*t**2 - 5692*t - 5700. Let h(k) = 45*k**3 - 5670*k**2 - 22770*k - 22800. Let o(l) = 25*a(l) - 6*h(l). Let o(i) = 0. Calculate i.
-2, 285
Let a(k) = -k**3 - 13*k**2 + 31*k + 18. Let w be a(-15). Suppose 0 = -5*j - 3*q + 9, 5 = w*j - q + 8. Factor j - 2/5*x**2 + 4/5*x.
-2*x*(x - 2)/5
Suppose -198*t - 12 = -202*t. Let x(g) be the third derivative of -1/24*g**4 + 0*g + 0 + 7/36*g**t - 1/360*g**5 + 24*g**2. Factor x(n).
-(n - 1)*(n + 7)/6
Let g(x) = -14*x**4 + 94*x**3 + 518*x**2 + 817*x + 305. Let v(o) = 5*o**4 - 31*o**3 - 173*o**2 - 275*o - 102. Let d(l) = 6*g(l) + 17*v(l). Solve d(n) = 0 for n.
-32, -3, -1
Let q(v) = 2*v**3 + 73*v**2 + 607*v - 52. Let d be q(-13). What is o in -2/11*o**2 + d + 4/11*o = 0?
0, 2
Let h(q) be the second derivative of 2*q**4/21 - 148*q**3/21 + 1369*q**2/7 - 6055*q. Suppose h(p) = 0. Calculate p.
37/2
Suppose -4*b - 5*y + 4 - 49 = 0, 0 = -2*b + 4*y + 36. Suppose 32/5*j + b + 4/5*j**2 = 0. Calculate j.
-8, 0
Suppose 116/3*f**2 + 25/3*f**4 - 112/3*f**3 + 0*f + 0 + 1/3*f**5 = 0. Calculate f.
-29, 0, 2
Find r such that -57 + 542*r**2 + 42*r**4 - 2*r**5 + 88*r**3 + 230 - 346*r**3 - 468*r + 0*r**2 - 29 = 0.
1, 6, 12
Le