 - 1)**3*(u + 1)
Factor 4*g - 20/3 - 1/3*g**2.
-(g - 10)*(g - 2)/3
Let z be 5 + -4 + 0 - -3. Let c be -1*(5 - z) + 3. Solve -2*o**3 - 2*o**c - 2*o + 2*o + 13*o**4 - 11*o**4 + 2*o**5 = 0.
-1, 0, 1
Let x = -64 + 67. Find y such that -12*y**x + 8 - y - 8*y + 13*y - 16*y**2 = 0.
-1, 2/3
Let p(y) = -y**3 - 102*y**2 + 195*y - 101. Let h(t) = 3*t**3 + 101*t**2 - 195*t + 103. Let k(f) = -3*h(f) - 4*p(f). Factor k(z).
-5*(z - 19)*(z - 1)**2
Let d = 258 + -254. Let c(x) be the third derivative of 3/4*x**d - 1/20*x**5 + 0 - 9/2*x**3 - 6*x**2 + 0*x. Determine y so that c(y) = 0.
3
Let i(n) = n**2 + 1. Let g(j) be the first derivative of -2*j**3 + 7*j**2/2 - 11*j + 47. Let o(p) = g(p) + 5*i(p). Factor o(h).
-(h - 6)*(h - 1)
Let b(z) = z**2 - 14*z - 12. Let p be b(15). Suppose -j = -p*j + 6. Suppose k**2 - k**3 - 5*k**4 + 22*k - k**5 - 5*k - 9*k + 4 - 6*k**j = 0. What is k?
-2, -1, 1
Let w(b) be the third derivative of b**9/7560 - b**8/10080 - b**7/1890 + 17*b**4/24 + 11*b**2. Let f(p) be the second derivative of w(p). Factor f(r).
2*r**2*(r - 1)*(3*r + 2)/3
Let r(q) = q**5 + q**4 - q**3 + q + 1. Let v(o) = 5*o**5 + 4*o**4 - 15*o**3 + 18*o**2 - 4*o + 4. Let w(g) = -4*r(g) + v(g). Determine j, given that w(j) = 0.
-4, 0, 1, 2
Let b be (-289)/735 + 26/65. Let n(k) be the second derivative of -25/42*k**4 - 19/70*k**5 + 5*k - 16/21*k**3 - 1/15*k**6 - b*k**7 + 0 - 4/7*k**2. Factor n(d).
-2*(d + 1)**3*(d + 2)**2/7
Let z(a) be the second derivative of a**6/150 + a**5/25 - 8*a**3/15 - 8*a**2/5 + 4*a - 9. Factor z(b).
(b - 2)*(b + 2)**3/5
Let a(g) = 4*g**4 - 12*g**3 + 24*g**2 + 53*g - 15. Let y(k) = 7*k**4 - 18*k**3 + 36*k**2 + 80*k - 24. Let n(d) = -8*a(d) + 5*y(d). Find l such that n(l) = 0.
-2, 0, 2
Suppose 65 = 9*t + 29. Let c(f) be the second derivative of 0*f**2 + 0*f**5 - 1/12*f**3 - 5*f + 0 - 1/16*f**t + 1/120*f**6. Determine d, given that c(d) = 0.
-1, 0, 2
Let c(f) be the second derivative of f**6/105 + 3*f**5/35 + f**4/42 - 8*f**3/7 + 16*f**2/7 - 2*f - 94. Solve c(k) = 0.
-4, 1
Suppose 137*k - 20 = 127*k. Let f(h) be the third derivative of -1/132*h**4 - 1/330*h**5 + 2/33*h**3 + 0 + 0*h + 3*h**k. Suppose f(c) = 0. What is c?
-2, 1
Let h(j) be the first derivative of 4*j**3/3 + 2*j**2 - 11*j - 21. Let r(g) = -8*g**2 - 8*g + 21. Let v(u) = -5*h(u) - 3*r(u). Determine m so that v(m) = 0.
-2, 1
Determine s, given that 9*s**3 + 44*s**2 + 15*s**5 - 42*s**4 + 21*s**2 - 43*s**2 - 24*s + 20*s**2 = 0.
-1, 0, 4/5, 1, 2
Factor -1/4*u**3 + 1/4*u - u**2 + 1.
-(u - 1)*(u + 1)*(u + 4)/4
Let o = 22801 - 113992/5. Solve 7/5 - o*j + j**2 + 1/5*j**3 = 0.
-7, 1
Let x(m) be the second derivative of 1/90*m**6 - 1/3*m**3 + 2/9*m**4 + 1/10*m**5 + 0 - 3/2*m**2 + 33*m. Factor x(j).
(j - 1)*(j + 1)*(j + 3)**2/3
Let k = 14 - 12. Factor -3*d + 7*d + 1 + d**k - 2*d.
(d + 1)**2
Let g(p) = 15*p**3 + 101*p**2 + 488*p + 496. Let z(q) = -170*q**3 - 1110*q**2 - 5370*q - 5455. Let j(l) = 45*g(l) + 4*z(l). Determine c so that j(c) = 0.
-2, 25
Let q(i) be the third derivative of i**5/180 - 19*i**4/6 + 722*i**3 - 659*i**2. Suppose q(h) = 0. Calculate h.
114
Let p(z) = -z**2 + 15*z - 12. Let x be p(11). Let m be (6/x)/((8 - 11)/(-12)). Suppose -m*n**4 + 0 - 3/4*n**3 + 3/4*n**2 + 3/4*n = 0. Calculate n.
-1, 0, 1
Let b(n) = 11*n**4 + 25*n**3 - 9*n**2 - 14*n + 13. Let z(x) = -5*x**4 - 12*x**3 + 5*x**2 + 6*x - 6. Let l(o) = -6*b(o) - 13*z(o). Suppose l(a) = 0. Calculate a.
0, 1, 2, 3
Suppose 9*f = 13*f - 32. Solve 3*h**3 + h**2 - 3*h - f*h**2 + 3 + 4*h**2 + 0*h**2 = 0.
-1, 1
Let v(q) be the first derivative of -1/2*q**2 - q - 3 - 1/6*q**6 - 1/5*q**5 + 1/2*q**4 + 2/3*q**3. Let v(p) = 0. Calculate p.
-1, 1
Let w(y) be the third derivative of y**11/16632 + y**10/18900 + y**5/6 + y**2. Let t(m) be the third derivative of w(m). Factor t(b).
4*b**4*(5*b + 2)
Let -24*o - 1/2*o**2 + 49/2 = 0. Calculate o.
-49, 1
Let v = 50 - 46. Factor 15*f - v*f**2 - 25*f**3 - f**2 + 5*f**5 - 5*f**2 + 10*f**4 + 5*f**3.
5*f*(f - 1)**2*(f + 1)*(f + 3)
Let 14/19*k**4 - 10/19 - 22/19*k + 20/19*k**3 - 4/19*k**2 + 2/19*k**5 = 0. What is k?
-5, -1, 1
Let i = 10 - 9. Let t be (-44)/(-9) - (i - (-7 + 4)). Factor -14/9*a**2 - t - 32/9*a.
-2*(a + 2)*(7*a + 2)/9
Let k be 8*((-2)/(-8))/(-24 - -25). Let y(w) be the first derivative of 9/4*w - 1/4*w**3 + 3/4*w**k + 10. Factor y(g).
-3*(g - 3)*(g + 1)/4
Let t(q) = 3*q + 27. Let z be t(-9). Suppose 2*p = 2*c + 4, z = -0*c - 3*c + 2*p - 2. Factor 16/3*x**4 + 0 + 0*x - 4/3*x**c + 2/3*x**3 + 10/3*x**5.
2*x**2*(x + 1)**2*(5*x - 2)/3
Suppose -9*d - 34 = -10*d. Let u = d + -31. Solve 6/5*i**u - 3/5*i**2 + 0*i + 0 - 3/5*i**4 = 0 for i.
0, 1
Let i(q) = -2*q**2 - 17*q - 8. Let t be i(-8). Let c be (-4)/(-14) + (-2)/56. Factor 0 + 1/4*r**2 - c*r**3 + t*r.
-r**2*(r - 1)/4
Solve -57/4*q - 9/4*q**4 + 51/4*q**2 + 9/2 - 3/4*q**3 = 0.
-3, 2/3, 1
Let t(c) be the second derivative of c**5/30 - 7*c**4/18 + 14*c**3/9 - 8*c**2/3 + 59*c. Factor t(z).
2*(z - 4)*(z - 2)*(z - 1)/3
Let g(o) be the third derivative of -o**6/48 - 3*o**5/4 - 25*o**4/4 + 250*o**3/3 + 174*o**2 - 2. Determine b so that g(b) = 0.
-10, 2
Let x be -2*(-8)/(2 + (-258)/116). Let v = x - -72. Factor 6/13 + 2/13*y**2 + v*y.
2*(y + 1)*(y + 3)/13
Suppose 0 = -580*w + 577*w. Let n(c) be the third derivative of -1/20*c**5 + w*c**4 + 1/2*c**3 + 2*c**2 + 0*c + 0. Determine p so that n(p) = 0.
-1, 1
Let h(c) = c**2 - c + 1. Let d(b) = 3*b**2 + 5*b - 4. Let s(a) = 2*a**3 + 31*a**2 + 16*a + 13. Let r be s(-15). Let j(m) = r*d(m) - 4*h(m). Factor j(i).
-2*(i + 1)*(5*i - 2)
Let v(o) be the third derivative of o**7/420 + o**6/180 - o**5/15 - o**4/3 + 7*o**3/6 - 10*o**2. Let u(n) be the first derivative of v(n). Factor u(g).
2*(g - 2)*(g + 1)*(g + 2)
Let w(d) be the first derivative of -1/20*d**5 + 3/8*d**4 - d + 3/2*d**2 - 13/12*d**3 + 11. Factor w(v).
-(v - 2)**2*(v - 1)**2/4
Let u(a) be the first derivative of 10/3*a - 12 + 5/9*a**3 + 5/2*a**2. Factor u(f).
5*(f + 1)*(f + 2)/3
Let s(l) = -7*l**3 + 15*l**2 + 74*l + 48. Let m(x) = 9*x**3 - 14*x**2 - 74*x - 46. Let v(k) = 4*m(k) + 5*s(k). Determine o so that v(o) = 0.
-14, -4, -1
Let u = -3950 - -3952. Suppose 15 = 5*j - 0*j. Factor 4/3*o**4 + 2/3*o**5 + 0*o + 0*o**u + 0 + 2/3*o**j.
2*o**3*(o + 1)**2/3
Solve 3*p - 67*p - 8*p**2 + 60*p + 4*p**3 + 8 = 0.
-1, 1, 2
Let q(t) be the third derivative of -t**7/15 - 47*t**6/60 - 21*t**5/10 - 13*t**4/12 + 10*t**3/3 - 118*t**2. Suppose q(c) = 0. What is c?
-5, -1, 2/7
Let l be 3/6 - (5 - (7 + -1)). Let i(z) be the first derivative of -l*z**2 - 8 - 1/3*z**3 + 0*z. Factor i(u).
-u*(u + 3)
Let b(v) be the third derivative of -5*v**8/192 + 31*v**7/504 + v**6/18 - v**5/6 + 41*v**4/24 + 39*v**2. Let c(u) be the second derivative of b(u). Factor c(g).
-5*(g - 1)*(5*g + 2)*(7*g - 2)
Let d(n) be the second derivative of n**4/12 - 25*n**3/3 + 49*n**2/2 + 3*n - 143. Factor d(h).
(h - 49)*(h - 1)
Let z(l) be the first derivative of -l**6/3 + l**5/25 + 61*l**4/10 - 172*l**3/15 - 4*l**2/5 + 32*l/5 + 480. Let z(h) = 0. Calculate h.
-4, -2/5, 1/2, 2
Suppose -2*y - 5*k + 19 = 0, -6 = 3*y + 4*k - 24. Factor -84*w**3 + w**5 - 66*w**y - 51*w**4 + 0*w**5 + 7 - 13*w**5 - 24*w - 10.
-3*(w + 1)**4*(4*w + 1)
Let z(x) be the third derivative of -x**7/70 - x**6/20 + x**5/20 + x**4/4 + 199*x**2 + x. Factor z(q).
-3*q*(q - 1)*(q + 1)*(q + 2)
Let o(a) be the second derivative of 0*a**2 + 0*a**3 - 1/22*a**4 + 0 - 3/110*a**5 + 11*a. Factor o(b).
-6*b**2*(b + 1)/11
Let m be 0*(3 + (-30)/9)*-1. Let c(s) be the first derivative of 2/35*s**5 + m*s + 4 - 1/7*s**4 + 0*s**2 + 0*s**3. Suppose c(x) = 0. What is x?
0, 2
Let x(w) = -12*w - 2. Let m be x(-1). Let v be 1/14*m - 4/14. Factor 3/7 + 0*i - v*i**2.
-3*(i - 1)*(i + 1)/7
Let i(v) = 2*v**2 + 26*v + 25. Let c(h) = -h**2. Let d(m) = -3*c(m) - 3*i(m). Let d(p) = 0. Calculate p.
-25, -1
Let o be (-1 - -3)/((-6)/(-48)*4). Suppose 20 = -0*s + o*s. Factor 0 + 0*b**2 + b**3 + 1/4*b**s - b**4 + 0*b.
b**3*(b - 2)**2/4
Let q be 52/48*-2 - (-9)/3. Let y = -304 + 306. Factor -q*o - 1/6 - 2/3*o**y.
-(o + 1)*(4*o + 1)/6
Let a(o) = -o**4 + 2*o**3 - 4*o**2 - 4*o. Let f(d) = 4*d**4 - 6*d**3 + 11*d**2 + 11*d. Suppose 7*x = 3*x - 44. Let w(u) = x*a(u) - 4*f(u). Factor w(s).
-s**3*(5*s - 2)
Suppose 0 = 2*a + 14, 35 = 14*c - 10*c - 5*a. Factor -1/3*j**2 + 1/3*j**5 + c + 