 that z(n) = 0.
-1, 0, 2
Let w = -8439 + 33777/4. Find h such that w*h**2 + h**3 + 3/2 + 29/4*h = 0.
-3, -2, -1/4
Suppose -3*u = -99 + 69. Find z, given that -u*z**2 - z**3 - 7*z - 3 + 5*z**2 + 0*z**2 = 0.
-3, -1
Let b(d) be the first derivative of 1/4*d**4 - 3/8*d**2 - 5*d + 3 + 3/8*d**3. Let j(m) be the first derivative of b(m). Factor j(i).
3*(i + 1)*(4*i - 1)/4
Let p be 408/66 - 2/11 - (-32)/(-6). Factor -4/3*n + 2/3 + p*n**2.
2*(n - 1)**2/3
Let a(o) be the third derivative of 0 - 23*o**2 - 7/120*o**6 + 1/8*o**4 + 0*o - 1/15*o**5 + 0*o**3. Find t such that a(t) = 0.
-1, 0, 3/7
Let q = 61 + -63. Let s be q*3*(-2 + 17/9). Find p, given that 2/3 - s*p**2 - 1/3*p + 1/3*p**3 = 0.
-1, 1, 2
Let x = -26 + 30. Let x*n**2 - 60*n**3 - 28*n**5 - 11*n**4 + 23*n**4 + 64*n**4 - n + 9*n = 0. What is n?
-2/7, 0, 1
Let y be -3 + 1 - -18 - -3. Suppose 0 = 5*v + 5*h - 35, -4*h + h + y = 2*v. Solve m**v + 1/2*m + 1/2*m**3 + 0 = 0 for m.
-1, 0
Let x = -2734/3 + 912. What is m in 0*m - x*m**4 + 2/3*m**3 - 2/9*m**2 + 2/9*m**5 + 0 = 0?
0, 1
Let p be -5 + 9/3 + (-63)/(-9). Let y(z) be the first derivative of 0*z + 3/8*z**4 + 1/12*z**6 - 1/6*z**3 - 3/10*z**p + 0*z**2 - 5. Factor y(t).
t**2*(t - 1)**3/2
Let g = 72 + -48. Let y = -21 + g. Factor 7*h - 2 + 4*h**4 + 5*h + h**y - 13*h**3 + 4*h**2 - 6.
4*(h - 2)*(h - 1)**2*(h + 1)
Suppose 0 = -4*c + 5*o + 64, 0 = 6*c - 3*c - 4*o - 49. Suppose -5*z - c = -86. Factor f**2 + z + 8*f + 11 - 10.
(f + 4)**2
Let b(i) = -190*i**3 - 80*i**2 + 215*i + 55. Suppose 5*x + 4 = 7*x. Let a(l) = -7*l**3 - 3*l**2 + 8*l + 2. Let p(u) = x*b(u) - 55*a(u). Factor p(m).
5*m*(m - 1)*(m + 2)
Let h(v) be the first derivative of 0*v**2 - 4/5*v**5 + 4/3*v**3 + 2/3*v**6 + 0*v - v**4 - 30. Factor h(w).
4*w**2*(w - 1)**2*(w + 1)
Let q(h) be the third derivative of -2*h**7/105 + h**6/15 + 7*h**5/15 + 2*h**4/3 - 18*h**2 + 3*h. What is w in q(w) = 0?
-1, 0, 4
Let h(z) be the second derivative of -z**4/3 - 52*z**3/3 - 338*z**2 - 275*z. Solve h(k) = 0.
-13
Factor 54*c**2 + 6 + 18*c**3 - 44*c**2 + 0*c + 14*c - 16*c**3.
2*(c + 1)**2*(c + 3)
Let s(v) be the third derivative of 16*v**2 + 0 + 0*v + 1/45*v**5 + 4/27*v**3 + 1/12*v**4 + 1/540*v**6. Let s(r) = 0. What is r?
-4, -1
Let z(l) be the first derivative of 1/2*l**4 + 0*l - 1/9*l**3 + 2/9*l**6 + 0*l**2 - 3/5*l**5 - 14. Factor z(d).
d**2*(d - 1)**2*(4*d - 1)/3
Let l(g) = -162*g - 1132. Let v be l(-7). Factor 0 - 12/5*n - 3/5*n**3 - 3*n**v.
-3*n*(n + 1)*(n + 4)/5
Factor -4*x**4 + 0 + 0*x + 4/3*x**3 + 8/3*x**2.
-4*x**2*(x - 1)*(3*x + 2)/3
Let d(g) = -21*g + 420. Let p be d(20). Let w(k) be the second derivative of 3*k + 0*k**2 + 1/8*k**3 - 1/24*k**4 - 1/80*k**5 + p. What is c in w(c) = 0?
-3, 0, 1
Let 21/5*y**2 - 18/5 + 3/5*y = 0. What is y?
-1, 6/7
Let d(f) be the third derivative of -f**5/110 + 7*f**4/44 + 10*f**2 + 6*f. Find j, given that d(j) = 0.
0, 7
Let k = -48 + 64. Suppose 6*n - k = -4. Factor -1/3*w**n + 2/3 - 1/3*w.
-(w - 1)*(w + 2)/3
Let j(g) be the second derivative of g**4/15 + 146*g**3/15 + 284*g**2/5 + 606*g. Factor j(o).
4*(o + 2)*(o + 71)/5
Let b(i) be the second derivative of 32/5*i**2 + 0*i**3 - 1/25*i**6 - 41*i + 2 - 1/2*i**5 - 9/5*i**4. Suppose b(o) = 0. Calculate o.
-4, -1, 2/3
Let s(q) be the third derivative of 0*q + 3*q**2 - 1/1380*q**6 - 1/92*q**4 + 0*q**3 + 0 + 2/345*q**5. Let s(p) = 0. What is p?
0, 1, 3
Let i = 1860 - 1858. Suppose -2/3 - 64/3*t**5 - 64*t**4 - 8*t - 106/3*t**i - 212/3*t**3 = 0. Calculate t.
-1, -1/2, -1/4
Let c(y) = -y**2 - 3*y + 26. Let h be c(0). Let v(u) = -3*u**2 + u + 1. Let m(j) = 12*j**2 - 5*j - 4. Let k(b) = h*v(b) + 6*m(b). Factor k(s).
-2*(s + 1)*(3*s - 1)
Let n(z) = 2*z**2 + 7*z - 487. Let c be n(14). Suppose 1/2*o**4 + 1/2*o**c + 0*o**2 + 0*o + 0 = 0. Calculate o.
-1, 0
Let p(m) be the second derivative of -5/2*m**2 - 5*m - 1/60*m**4 - 1/3*m**3 + 0. Let p(l) = 0. What is l?
-5
Let f(i) be the first derivative of 1/5*i + 1/5*i**4 + 2/5*i**2 + 1/25*i**5 - 3 + 2/5*i**3. Factor f(j).
(j + 1)**4/5
Let g(s) = 4*s**2 + 9*s - 13. Let m(i) = 3*i**2 + 9*i - 12. Let u(h) = 4*g(h) - 5*m(h). Find n, given that u(n) = 0.
1, 8
Factor -16 - 12*l + 40 - 6 - 6 + 3*l**2.
3*(l - 2)**2
Let a be 2 - 6*(-28)/(-12). Let h be (-5 + (-62)/(-14))/(a/14). Determine y so that -4/3*y**3 - h + 4/3*y + 2/3*y**4 + 0*y**2 = 0.
-1, 1
Let y(v) be the third derivative of v**5/30 - 31*v**4/6 + 961*v**3/3 + 6*v**2 + 1. Factor y(x).
2*(x - 31)**2
Let x(h) = h**4 - 168*h**3 + 287*h**2 + 449*h. Let d(o) = -o**4 + 84*o**3 - 143*o**2 - 225*o. Let m(n) = -7*d(n) - 3*x(n). Find b, given that m(b) = 0.
-1, 0, 3, 19
Let d = 20 - 16. Solve -10*w**2 - 5*w**5 - 22*w + 12*w**4 + 27*w - 2*w**d = 0.
-1, 0, 1
Let k(p) = 7*p + 252. Let g be k(-36). Let y(z) be the second derivative of 0 + 0*z**2 + 0*z**5 + 2/105*z**6 - 1/21*z**4 + g*z**3 + z. What is q in y(q) = 0?
-1, 0, 1
Let p = 112 - 110. Let b be 8 + (-8)/p - 4. Suppose 2/7*w**3 - 2/7*w**4 + b*w + 0*w**2 + 0 = 0. Calculate w.
0, 1
Let m be ((3 - 7) + 3)/((-2)/14). Let f(p) = -4*p**3 + 8*p**2 + 28*p + 16. Let w(c) = -8*c**3 + 16*c**2 + 56*c + 32. Let o(x) = m*f(x) - 3*w(x). Factor o(i).
-4*(i - 4)*(i + 1)**2
Let g(y) be the second derivative of 2*y**7/7 + y**6/15 - 13*y**5/10 - 5*y**4/6 + y**3 + 297*y - 1. What is c in g(c) = 0?
-1, 0, 1/3, 3/2
Let k = 1168/8835 - -2/1767. Determine q, given that 0 + 2/3*q + k*q**2 = 0.
-5, 0
Let u = -2 - -4. Let h = 6 - u. Factor -h*b**2 + 0*b**2 - b + 5*b**2.
b*(b - 1)
Let s = 117 + -60. Factor 37*m + s*m + 2*m + 2*m**3 - 128 - 24*m**2.
2*(m - 4)**3
Let a(r) be the second derivative of 0*r**3 + 0 + 1/20*r**5 + 0*r**2 - 1/12*r**4 + 14*r. Suppose a(w) = 0. What is w?
0, 1
Let j be (20/(-25))/(6/(-2385)*3). Let u = j - 104. Determine f, given that f**3 - 1 + 3*f + 15/4*f**u = 0.
-2, 1/4
Let z = 1648 + -1642. Let d(f) be the first derivative of -19/2*f**2 + 8/3*f**3 + 5/4*f**4 - 15 + z*f. Suppose d(o) = 0. Calculate o.
-3, 2/5, 1
Let l(o) be the third derivative of o**7/70 + 3*o**6/40 - o**5/20 - 3*o**4/8 + 35*o**2 + 1. Factor l(p).
3*p*(p - 1)*(p + 1)*(p + 3)
Let i be (-3)/((-15)/1498) - -3. Let l = i - 301. Determine z, given that -4/5*z + 1/5*z**3 - l + 2/5*z**2 = 0.
-2, 2
Let p(j) be the third derivative of -j**7/42 + 3*j**6/2 - 17*j**5/2 + 125*j**4/6 - 55*j**3/2 - 66*j**2. What is x in p(x) = 0?
1, 33
Find j, given that 50/13*j**4 + 510/13*j**3 - 432/13*j**2 + 0 + 88/13*j = 0.
-11, 0, 2/5
Suppose 0 = -3*h + 2*n - 1, 10 = -5*h + 87*n - 82*n. Let s(r) be the first derivative of 5 + 0*r - h*r**4 - 4*r**3 - 4/5*r**5 - 2*r**2. Factor s(u).
-4*u*(u + 1)**3
Suppose q + 5 = 6. Factor 1 - s**2 - 5*s**4 + q - 2*s - 2 + 8*s**3.
-s*(s - 1)**2*(5*s + 2)
Let g(w) be the third derivative of 1/720*w**6 + 0*w + 0*w**4 + 0*w**5 + 0*w**3 + 19*w**2 + 1/1260*w**7 + 0. Factor g(d).
d**3*(d + 1)/6
Solve 363*v - 31 - 322*v + 3*v**2 - 9 - 4*v**2 + 0*v**2 = 0 for v.
1, 40
Let m = -2 - -4. Suppose 2*z + m = 2*o, 7*o - 3*o - 3*z - 8 = 0. Factor -2*s**o + 3*s**5 - s**3 + 2*s**3 - 2*s**5.
-s**3*(s - 1)*(s + 1)
Suppose 0 = 5*h + 19 + 36. Let l(s) = 7*s**4 + 23*s**3 + 24*s**2 + 4. Let u(c) = -21*c**4 - 69*c**3 - 71*c**2 - c - 11. Let k(r) = h*l(r) - 4*u(r). Factor k(o).
o*(o + 1)*(o + 2)*(7*o + 2)
Suppose -3*z + 79 = -0*k - k, -5*z + 105 = 5*k. Let h(v) = -5*v**3 + 55*v**2 + 25. Let o(d) = -d**3 + 9*d**2 + 4. Let t(b) = z*o(b) - 4*h(b). Factor t(j).
-5*j**2*(j - 1)
Let d be (-65)/(-22)*7/(-113 - -8). Let i = d + 4/11. Determine j, given that 1/3 - j**2 - i*j - 1/2*j**5 + 2/3*j**3 + 2/3*j**4 = 0.
-1, -2/3, 1
Let n(z) = 7*z**4 - 9*z**3 - 10*z**2 + 7*z + 10. Let x(s) = 4*s**4 - 5*s**3 - 5*s**2 + 3*s + 6. Let b(f) = 3*n(f) - 5*x(f). Factor b(k).
k*(k - 3)*(k - 1)*(k + 2)
Let x = 18 - 16. Let k(d) = d**2 - 5*d - 24. Let g(z) = -z**2 + 2*z + 12. Let u(j) = x*k(j) + 5*g(j). Find f such that u(f) = 0.
-2, 2
Let h(l) be the third derivative of -l**8/3360 + l**7/420 + l**6/200 - 2*l**2 - 287*l. Solve h(z) = 0 for z.
-1, 0, 6
Let v(d) be the third derivative of 3/160*d**6 + 4*d**2 + 0 + 1/448*d**8 + 0*d**4 + 0*d + 0*d**3 + 3/280*d**7 + 1/80*d**5. Factor v(u).
3*u**2*(u + 1)**3/4
Factor -1/2*o**2 - 2 + 2*o.
-(o - 2)**2/2
Solve -2*t**2 + 38/3*t + 2/3*t**4 - 14/3*t**3 + 28/3 = 0.
-1, 2, 7
Let o = 31 - 59/2. Suppose -1 = -20*k + 24 + 35. Factor -3/2*g**2 - 3