/3*j + 4/3.
-2*(j - 2)*(j - 1)**2/3
Factor 2*z**4 - 10*z - 67 - 48*z**2 - 29 + 73*z + 65*z.
2*(z - 2)**3*(z + 6)
Let x(z) be the first derivative of 5*z**7/42 + z**6/3 + z**5/4 + 11*z - 2. Let t(g) be the first derivative of x(g). Solve t(s) = 0 for s.
-1, 0
Let o = 3537291/140 - 25266. Let x = o + 1/28. Find z such that -1/5 - 1/5*z**2 - x*z = 0.
-1
Find j, given that 8*j**2 - 8/3*j**5 + 46/3*j**3 + 0 - 24*j - 8/3*j**4 = 0.
-2, 0, 3/2
Suppose -4*u + 3*u - 3*r = 12, 4*u = 4*r - 16. Let w be 30/5 + 3 + u. Let 0 + 2/3*o**2 + 2/9*o + 4/9*o**w = 0. What is o?
-1, -1/2, 0
Let d(c) = c**2 + c. Let q(a) = -a**2 - 11*a - 12. Let g(s) = -6*d(s) - 2*q(s). Let f(p) = p. Let x(z) = -12*f(z) + g(z). Factor x(h).
-4*(h - 3)*(h + 2)
Suppose 2*y = -n + 6, 5*n - 5*y = -9*y + 18. Factor -4*l + 6 + 2/3*l**n.
2*(l - 3)**2/3
Let o(u) = 3*u**3 - 18*u**2 + 6*u + 2. Let k(w) = w**3 + 3*w + 1. Let a(r) = -2*k(r) + o(r). Solve a(j) = 0.
0, 18
Suppose 168*t**2 + 64*t + 297845 + 116*t**3 - 297845 + 12*t**4 = 0. What is t?
-8, -1, -2/3, 0
Let k(f) be the first derivative of f**4/8 - 27*f**3 + 321*f**2/4 - 80*f + 607. Find u, given that k(u) = 0.
1, 160
Factor -3*b**3 - 74*b - 2*b**3 + 4*b**3 - 3*b**2 + 70*b + 2*b**3.
b*(b - 4)*(b + 1)
Let n(p) be the second derivative of p**8/36960 + p**7/1540 - 7*p**6/1320 + p**5/60 + 35*p**4/12 + 21*p. Let w(g) be the third derivative of n(g). Factor w(l).
2*(l - 1)**2*(l + 11)/11
Let w be (-128)/(-24) + (-2)/6. Suppose 2*f + 1 = 3*m - 5, -w*m + 10 = 4*f. Factor 2*c**m - 12*c**2 + c**3 - 2*c**2 + 3*c**3.
4*c**2*(c - 3)
Let x(k) be the second derivative of -k**10/30240 + k**9/3024 - k**8/840 + k**7/630 + 9*k**4/4 + 45*k. Let s(a) be the third derivative of x(a). Factor s(v).
-v**2*(v - 2)**2*(v - 1)
Factor -8/3*t**2 + 0 + 0*t - 50/3*t**4 - 40/3*t**3.
-2*t**2*(5*t + 2)**2/3
Let w = -1/142 + 3055/284. Factor 6*x + 1 + w*x**2 + 7/4*x**4 + 15/2*x**3.
(x + 1)**2*(x + 2)*(7*x + 2)/4
Let d(r) be the second derivative of r**7/840 - r**6/80 + r**5/20 - r**4/2 - 15*r. Let b(y) be the third derivative of d(y). Factor b(m).
3*(m - 2)*(m - 1)
What is z in 13 - 1/4*z**2 + 9/4*z = 0?
-4, 13
Determine p so that -4/7*p**2 - 9/7 + 12/7*p = 0.
3/2
Suppose 2*q + 4 = 4*o, 2*q + 2*q - 3 = -3*o. Suppose 4*g**2 - 8*g - 823 + 823 + q*g = 0. What is g?
0, 2
Let z be (8 - (-28)/21)*2. Find r, given that -z*r**2 + 98/3*r**3 + 0 + 8/3*r = 0.
0, 2/7
Let p(d) = -15 + 14*d**2 - 6*d**2 - 12*d**2 - 19*d. Let k(w) = -w**2 - 6*w - 5. Suppose 0 = -3*o + 14 - 47. Let f(x) = o*k(x) + 4*p(x). Factor f(y).
-5*(y + 1)**2
Let y(a) be the third derivative of -a**5/30 - 11*a**4/3 - 484*a**3/3 - 11*a**2 - 3. Solve y(f) = 0.
-22
Let v(d) = 2*d**2 - 32*d + 58. Let m(x) = 10*x**2 - 158*x + 287. Let q(a) = -2*m(a) + 11*v(a). Factor q(y).
2*(y - 16)*(y - 2)
Let y(v) be the first derivative of 0*v**3 - 3/2*v**2 + 3/4*v**4 + 0*v - 7. Find z, given that y(z) = 0.
-1, 0, 1
Let -305*j**2 - 7*j + 20 - 38*j + 165*j**2 = 0. What is j?
-4/7, 1/4
Factor 22*v**4 + 13*v**4 + 40*v + 180*v**2 - 8691*v**3 + 8841*v**3.
5*v*(v + 2)**2*(7*v + 2)
Let i(s) be the second derivative of s**5/100 - 9*s**3/10 - 27*s**2/5 - 22*s - 2. Solve i(n) = 0.
-3, 6
Let b(l) be the first derivative of 6*l**5/5 + 27*l**4/4 - 18*l**3 + 3*l**2/2 + 18*l + 39. Solve b(c) = 0.
-6, -1/2, 1
Let q(x) = -68 - 18*x - 28*x - 11*x**2 - 6*x**2 - 34*x - 5*x**3. Let u(k) = k**3 + 1. Let m(d) = q(d) + 4*u(d). Find z, given that m(z) = 0.
-8, -1
Let w(g) be the second derivative of 1/10*g**6 - 9/20*g**5 + 7*g + 0*g**3 + 0*g**2 + 0 + 1/2*g**4. Factor w(u).
3*u**2*(u - 2)*(u - 1)
Suppose -4*n + g + 20 = 0, -3*g + 0 = -5*n + 32. Suppose -71*m**2 - 5*m**2 + 20*m**n - 80*m + 104*m + 32*m**3 = 0. What is m?
-3, 0, 2/5, 1
Factor -12/7*u**2 + 108/7 - 6/7*u**3 + 54/7*u.
-6*(u - 3)*(u + 2)*(u + 3)/7
Suppose 0 = 4*r + 2*x + 6 + 4, r - 4*x + 7 = 0. Let o(t) = t**2 - t - 1. Let p(h) = h**4 + 3*h**3 + 3*h**2 - 7*h - 3. Let w(b) = r*o(b) + p(b). Factor w(a).
a*(a - 1)*(a + 2)**2
Suppose -x + 81 - 77 = 0. What is g in -4*g**4 + 14*g**3 - 14*g + 6 + 399*g**2 - 401*g**2 + 0*g**x = 0?
-1, 1/2, 1, 3
Suppose -41 = 12*o + 79. Let q be -3 + (-55)/o + -1. Factor 3*g - 2 - q*g**2 + 1/4*g**3.
(g - 2)**3/4
Let x = -27 - -16. Let y = -8 - x. Find h, given that 13*h**2 - h**2 - 12*h**y + 4*h**4 - h**4 = 0.
0, 2
Find y such that -17672 + 188*y - 1/2*y**2 = 0.
188
Let d(b) be the third derivative of -b**5/180 + 7*b**4/72 - 5*b**3/9 - b**2 - 14. Solve d(k) = 0.
2, 5
Let w be 18/117 - (-76)/182. Factor w*s**2 + 0*s + 0 + 34/7*s**3.
2*s**2*(17*s + 2)/7
Let s be 28/(-63)*(-99)/12. Suppose s*t**2 + 25/3 + 35/3*t + 1/3*t**3 = 0. What is t?
-5, -1
Let k(a) = 3*a - 46. Let f be k(16). Let -17 + 21 + 12*o - 8*o**2 + 5*o**f - o = 0. What is o?
-1/3, 4
Determine y so that 48 - 3/4*y**4 - 12*y - 33/4*y**3 - 27*y**2 = 0.
-4, 1
Let c(o) = 45*o - 18. Let n(r) = -2*r**2 + 45*r - 19. Let y(x) = -2*c(x) + 3*n(x). Factor y(b).
-3*(b - 7)*(2*b - 1)
Let g(w) be the first derivative of -2/9*w**2 + 1/9*w**3 + 1/9*w + 1. Factor g(p).
(p - 1)*(3*p - 1)/9
Let s(j) = 15*j**3 + 20*j**2 - 90*j + 45. Let c(y) = 7*y**3 + 11*y**2 - 45*y + 23. Let x(u) = 5*c(u) - 2*s(u). Factor x(k).
5*(k - 1)**2*(k + 5)
Suppose 0 = -2*a + 4 - 0. Factor n**3 + 2*n - n + n + 21*n**a - 18*n**2.
n*(n + 1)*(n + 2)
Let p(z) be the first derivative of 0*z - 1/5*z**4 + 4/15*z**3 + 4/5*z**2 - 13. Solve p(g) = 0.
-1, 0, 2
Let u(l) be the first derivative of 10*l**3/3 - 31*l**2/3 + 4*l/3 + 254. Factor u(m).
2*(m - 2)*(15*m - 1)/3
Let m(r) be the third derivative of -7*r**6/300 - 62*r**5/75 - 177*r**4/20 + 54*r**3/5 - 40*r**2. Solve m(t) = 0.
-9, 2/7
Factor 192646*g**2 - 192658*g**2 + 113*g - 8*g.
-3*g*(4*g - 35)
Let l = 24809 - 124023/5. Suppose -l*z**4 + 0*z - 6/5*z**5 - 24/5*z**3 - 8/5*z**2 + 0 = 0. What is z?
-2, -1, -2/3, 0
Let w be 6/(-4)*16/(-30). Let o be 4/34 - (17 + 17 + (-44220)/1275). Factor 1/5*q**2 - w*q + o.
(q - 2)**2/5
Let v(d) = -21*d + 3. Let w be v(-2). Suppose -8*u - w = -11*u. Factor -11*q + 0 + 5*q**2 + u - 2*q - 7*q.
5*(q - 3)*(q - 1)
Let t(v) be the first derivative of 0*v + 0*v**2 - 10/3*v**3 - 21 - 15/4*v**4 - v**5. Factor t(u).
-5*u**2*(u + 1)*(u + 2)
Suppose -5*m - v + 39 = -4*v, 0 = 3*m + v - 15. Let o(c) be the second derivative of -m*c + 0 - 1/11*c**2 - 1/66*c**4 - 2/33*c**3. Let o(s) = 0. What is s?
-1
Factor 74*w + 28*w - 1526 + 68*w + 81 - 5*w**2.
-5*(w - 17)**2
Let v = 30 + -23. Let p(q) = 5*q**2 - 6*q + 5. Let y(d) = 9*d**2 - 11*d + 9. Let c(h) = v*p(h) - 4*y(h). Suppose c(u) = 0. Calculate u.
1
Factor 98*k - 10*k - 961 + 18*k**3 - 60*k**2 + 428 + 485 - 2*k**4.
-2*(k - 3)*(k - 2)**3
Factor -65/2*z**2 + 215/2*z + 5/2*z**4 - 35/2*z**3 - 60.
5*(z - 8)*(z - 1)**2*(z + 3)/2
Let w(f) = -4*f**3 + 9*f**2 + 16*f + 9. Let g(t) = -3*t**3 + 7*t**2 + 16*t + 10. Let j(b) = 6*g(b) - 4*w(b). Factor j(c).
-2*(c - 6)*(c + 1)*(c + 2)
What is b in 224865/2*b**2 + 175/2*b**4 + 370386 - 10435/2*b**3 - 1/2*b**5 - 389880*b = 0?
2, 57
Let a = -87 - -91. Suppose 0*m + 4*m + 5*o = 23, 4*m + a*o - 20 = 0. Solve 0 - 3*k**m + 2/3*k = 0 for k.
0, 2/9
Let h(y) be the second derivative of 1/60*y**5 - 34*y + 1/3*y**4 + 8/3*y**3 + 0 + 32/3*y**2. Suppose h(l) = 0. What is l?
-4
Let p(x) be the third derivative of -1/4*x**3 + 1/40*x**5 + 0 + 1/240*x**6 + 0*x - 16*x**2 - 1/48*x**4. Suppose p(m) = 0. What is m?
-3, -1, 1
Let j(d) = -14*d**4 - 78*d**3 - 102*d**2 - 22*d + 16. Let u(s) = 42*s**4 + 233*s**3 + 306*s**2 + 67*s - 48. Let r(f) = -7*j(f) - 2*u(f). Factor r(n).
2*(n + 1)**2*(n + 4)*(7*n - 2)
Let d = 2139/1340 + 1/268. Factor 0 - 4/5*o**3 - d*o + 12/5*o**2.
-4*o*(o - 2)*(o - 1)/5
Suppose 39/4*m**2 - 33/4*m - 3*m**3 + 3/2 = 0. Calculate m.
1/4, 1, 2
Let n(i) be the third derivative of i**9/3024 - i**7/840 - 5*i**3/3 + 7*i**2. Let a(l) be the first derivative of n(l). Suppose a(y) = 0. What is y?
-1, 0, 1
Let m be ((-14)/175)/((-3)/(-30))*-4. Factor -m*u - 32/5 + 14/5*u**2 - 2/5*u**3.
-2*(u - 4)**2*(u + 1)/5
Let o = 346/15 + -2407/105. Solve 9/7 + o*u**2 + 6/7*u = 0.
-3
Suppose -120 + 184/3*n - 2/3*n**2 = 0. Calculate n.
2, 90
Suppose 39*t = 42*t + 3*u - 9, u - 3 = t. Factor -4/7*n**4 + 0*n + t*n**3 + 0*n**2 + 0.
-4*n**4/7
Suppose 3*d + 4*m = -6, 3*d - 2*m = 3*m + 21. Let p(s) be the first derivative of 2/9*s**3 + 0*s - 11 +