t a = 257/72 + z. Let 3/8*o**3 + 3/4*o + a*o**2 + 0 = 0. Calculate o.
-2, -1, 0
Let v(h) be the second derivative of h**7/21 + 23*h**6/15 - 49*h**5/10 + 25*h**4/6 - 411*h. Factor v(i).
2*i**2*(i - 1)**2*(i + 25)
Let g = -103 + 106. Factor -g*n**2 + 2*n**4 + n**4 - 4*n**3 - 2*n**4 + 6*n**2.
n**2*(n - 3)*(n - 1)
Suppose 18*w - 37*w = 0. Let b(j) be the first derivative of 3/10*j**4 + 4/25*j**5 - 4/15*j**3 + 4 + 0*j**2 - 1/5*j**6 + w*j. Find l such that b(l) = 0.
-1, 0, 2/3, 1
Factor -8/17*g**3 + 8/17*g**2 + 2/17*g**4 + 0*g + 0.
2*g**2*(g - 2)**2/17
Let h(g) be the second derivative of 0*g**2 - 1/20*g**6 - 1/40*g**5 + 11*g + 0 + 1/84*g**7 + 1/8*g**4 + 0*g**3. Factor h(w).
w**2*(w - 3)*(w - 1)*(w + 1)/2
Suppose 7*k - 6*k**5 - 885*k**2 + 35*k**3 + k**5 - 37*k + 880*k**2 + 5*k**4 = 0. What is k?
-2, -1, 0, 1, 3
Factor -2 + 43792*v - 43788*v + v**2 - 3*v**2.
-2*(v - 1)**2
What is f in -3/5*f**4 + 18/5*f**3 - 18/5*f + 3/5*f**2 + 0 = 0?
-1, 0, 1, 6
Let b be 36/(-28) + (-4)/(-14). Let m be 2 - (b + -2 - -3). Factor -3*z**m + 2*z**2 - 3 + 3 + 1.
-(z - 1)*(z + 1)
Suppose 0 = -5*o + 2*f + 13, -5*f + 0 = -o - 2. Factor -6 + 11 - 3*d**o - 5 - 9*d**2.
-3*d**2*(d + 3)
Let n(p) be the first derivative of 2*p**3/27 - 5*p**2/3 + 100*p/9 - 248. Factor n(v).
2*(v - 10)*(v - 5)/9
Let f(m) be the second derivative of m**5/15 - m**4/3 + 8*m**2/3 - 5*m. Factor f(d).
4*(d - 2)**2*(d + 1)/3
Let t(z) = z**2 - 5*z + 2. Let r be t(5). Suppose -7 = r*x - 15. Find s, given that 0 - 2/7*s**5 - 2/7*s**2 - 6/7*s**3 + 0*s - 6/7*s**x = 0.
-1, 0
Factor 57/4*m + 29/2 - 1/4*m**2.
-(m - 58)*(m + 1)/4
Let z(s) be the second derivative of 18*s + 1/120*s**6 + 0*s**2 + 1/2*s**4 + 0 + 2/3*s**3 + 9/80*s**5. Factor z(m).
m*(m + 1)*(m + 4)**2/4
Let o be -3*-12*(-3)/6. Let w be (0 + -25)*(o - -17). Factor w + 20*u + 3*u**2 + 16 - 14 - 2*u.
3*(u + 3)**2
Let y = 2/105299 + 1474164/1158289. Find z such that -y*z**3 + 0 + 8/11*z + 6/11*z**5 + 8/11*z**4 - 8/11*z**2 = 0.
-2, -1, 0, 2/3, 1
Let n be (0/18 - (0 + 1))*-5. Suppose -n*h - 2 = -12. Factor 1/6*i**h - 1/2*i + 1/3.
(i - 2)*(i - 1)/6
Let k be ((-8)/(-14))/((-2)/(-14)). Let w = -3 - -5. Solve -9*m**3 - 6*m**3 - 5*m**4 - m**k + 11*m**3 + w*m**2 = 0.
-1, 0, 1/3
Let u(j) be the first derivative of -9 + 0*j**2 + 0*j**3 + 1/16*j**4 + 0*j - 1/20*j**5. Factor u(a).
-a**3*(a - 1)/4
Let m(c) be the third derivative of -256/21*c**3 - 1/30*c**6 - 80/7*c**4 + 0*c + 36*c**2 + 0 - 38/35*c**5. Factor m(w).
-4*(w + 8)**2*(7*w + 2)/7
Let l(r) = -r**3 + 2*r**2 - r - 1. Let z(x) = x**4 - 43*x**3 + 671*x**2 - 3373*x + 2. Let g(b) = -10*l(b) - 5*z(b). Factor g(h).
-5*h*(h - 15)**3
Let n = 1529/630 + 13/90. Factor 0 + 12/7*v**3 + n*v**4 + 2/7*v**2 + 0*v + 8/7*v**5.
2*v**2*(v + 1)**2*(4*v + 1)/7
Let l(n) = -2*n**3 + 104*n**2 + 486*n - 576. Let a(c) = -c**3 + 2*c**2 + c. Let m(z) = -6*a(z) + l(z). Factor m(w).
4*(w - 1)*(w + 12)**2
Let h(x) = 24*x + 770. Let a be h(-32). Factor 2*p + 4/3 - 10/3*p**a.
-2*(p - 1)*(5*p + 2)/3
Let b(o) be the second derivative of -15*o - 1/10*o**3 + 0*o**4 + 0 + 0*o**2 + 3/100*o**5. Determine y, given that b(y) = 0.
-1, 0, 1
Let k(b) = 6*b**3 - 8*b**2 + 8*b - 6. Let r(l) = 5*l**3 - 7*l**2 + 7*l - 5. Suppose 7*i = 3*i - 28. Let a(v) = i*r(v) + 6*k(v). Let a(q) = 0. Calculate q.
-1, 1
Let k(s) be the third derivative of 1/110*s**5 + 4*s**2 + 0 + 0*s - 1/1155*s**7 + 0*s**3 + 0*s**6 - 1/66*s**4. Factor k(w).
-2*w*(w - 1)**2*(w + 2)/11
Factor -40*y**2 + 13*y**2 + 13*y**2 - 36*y - 162 + 12*y**2.
-2*(y + 9)**2
Determine q, given that 62/5*q**3 + 2/5*q**4 + 616/5*q + 80 + 324/5*q**2 = 0.
-25, -2
Let s(v) = 14*v**3 + 88*v**2 - 48*v - 28. Let c(z) = -7*z**3 - 44*z**2 + 25*z + 14. Let o(r) = 13*c(r) + 6*s(r). Determine h, given that o(h) = 0.
-7, -2/7, 1
Determine z, given that 3*z + 3/2*z**3 + 3/2*z**4 - 11/2*z**2 + 0 - 1/2*z**5 = 0.
-2, 0, 1, 3
Solve -3063*z**3 - 61*z**2 + 3067*z**3 - 43*z**2 = 0 for z.
0, 26
Let z = -453 - -909/2. Let n(p) be the first derivative of 1/4*p**4 - 4 + p + z*p**2 + p**3. What is a in n(a) = 0?
-1
Suppose 7*b - 512 = 1686. Factor -b*v - 6 + 626*v + 2*v**2 - 316*v.
2*(v - 3)*(v + 1)
Let a(b) be the third derivative of -3*b**7/28 - 25*b**6/16 - 71*b**5/12 - 125*b**4/12 - 10*b**3 + 87*b**2. Find f such that a(f) = 0.
-6, -1, -2/3
Suppose 5*a - 3 + 7 = -4*s, -s = 4*a + 1. Let m(v) be the first derivative of -2/21*v**3 + 0*v + a*v**2 - 10. Solve m(r) = 0.
0
Factor 28*u**2 + 2*u + 10*u - 86*u**2 + 12 + 34*u.
-2*(u - 1)*(29*u + 6)
Let u = 233/18 - 112/9. Let -1/2*k**3 + 1/2*k**2 + 1/2*k - u = 0. What is k?
-1, 1
Let q(i) be the third derivative of i**5/20 + 13*i**4/4 + 25*i**3/2 + i**2 + 24. Determine k so that q(k) = 0.
-25, -1
Let s = -13 + 16. Factor 2*p**5 - 29*p**3 - p**4 - s + 28*p**3 + 3.
p**3*(p - 1)*(2*p + 1)
Suppose -5*d - 3*r = -7, d + 3*d - 3*r = 11. What is a in 695 - 695 - 8*a + 2*a**d = 0?
0, 4
Let n(j) = -30*j**3 - 119*j**2 - 11*j - 58. Let d be n(-4). What is o in -2*o**3 - 1/2*o**4 - 5/2*o**d - o + 0 = 0?
-2, -1, 0
Let q be (2 - ((-5)/(-1))/(-5)) + 0. Let d = -86/3 - -29. Suppose 0*b + d*b**5 + 0 - 1/3*b**4 - 1/3*b**q + 1/3*b**2 = 0. What is b?
-1, 0, 1
Let l(c) be the third derivative of c**7/42 + 5*c**6/24 + c**5/3 + 62*c**2. Let l(z) = 0. Calculate z.
-4, -1, 0
Let r(l) = 3*l - 13. Let t(k) = -11*k + 40. Let f(i) = -7*r(i) - 2*t(i). Let c be f(13). Solve c*q + 6*q**2 + 1/2*q**3 + 32 = 0 for q.
-4
Let q(d) be the third derivative of 0*d**3 + 0*d - 1/120*d**6 + 0*d**4 + 0*d**5 - d**2 + 0. Factor q(w).
-w**3
Let h(y) be the second derivative of -7/4*y**5 - 1/6*y**6 + 35/6*y**3 + 25*y**2 - 15/4*y**4 - 27*y + 0. Find d, given that h(d) = 0.
-5, -2, -1, 1
Let j(d) be the second derivative of 0 + 2/3*d**4 - 14*d + 1/9*d**2 - 4/9*d**3. Factor j(x).
2*(6*x - 1)**2/9
Let c(n) be the second derivative of -n**4/4 - n**3/2 + 84*n**2 + 6*n - 30. Let c(z) = 0. Calculate z.
-8, 7
Let d(l) = -l**2 - 15*l - 18. Let t be d(-13). Factor t*v**2 + 12*v**2 - v**3 - 22*v**2.
-v**2*(v + 2)
Let t(n) be the third derivative of -18*n**2 + 29/15*n**5 + 0*n - 3/10*n**6 - 13/2*n**4 + 12*n**3 + 2/105*n**7 + 0. Factor t(l).
4*(l - 3)**2*(l - 2)*(l - 1)
Suppose -3*n - 5*o = -55, -5*o + o = -20. Suppose 0*t - n = -2*t. Determine m so that -6*m**2 - 3*m**2 + t*m**2 - 4*m = 0.
-1, 0
Let j(h) be the first derivative of -5*h**6/6 - 34*h**5 - 2165*h**4/4 - 12860*h**3/3 - 18040*h**2 - 38720*h + 53. Factor j(a).
-5*(a + 4)**3*(a + 11)**2
Let v = 41 + -31. Suppose 0 = 6*q - v*q. Factor q + 0*p**2 - 12/5*p**4 - 3/5*p**3 + 0*p.
-3*p**3*(4*p + 1)/5
Let d(o) be the first derivative of -o**7/168 - o**6/24 + 5*o**4/6 + 10*o**3/3 + 6. Let m(y) be the third derivative of d(y). Factor m(g).
-5*(g - 1)*(g + 2)**2
Let a(b) = -184*b**2 - 140*b - 23. Let n(d) = -2*d**2 - d - 1. Let h(c) = a(c) + 4*n(c). What is u in h(u) = 0?
-3/8
Let w be (-1)/(-11 - (-455)/42). Factor 0 - 21/2*p**2 + w*p**3 - 3*p.
3*p*(p - 2)*(4*p + 1)/2
Let n(q) = 2*q**3 - 4*q**2 + 4. Let i be n(2). Let h be i*(-1 + 0 - -2). Let 0*r**3 + 0*r - 3/5*r**h + 6/5*r**2 - 3/5 = 0. What is r?
-1, 1
Let k(c) = 3*c + 10. Let y be k(-6). Let b be (y/(-42))/(3/(135/6)). Factor 0 + 4/7*x + b*x**2 + 2/7*x**4 + 8/7*x**3.
2*x*(x + 1)**2*(x + 2)/7
Let t(g) be the first derivative of -g**6/3 + 14*g**5/25 + 23*g**4/10 + 2*g**3/3 - 6*g**2/5 - 30. Solve t(h) = 0 for h.
-1, 0, 2/5, 3
Let y be ((-75)/(-5))/(-5)*(4 + (-33)/6). Solve y*j + 3*j**2 + 1/2*j**3 + 0 = 0.
-3, 0
Let j(h) be the second derivative of 4*h**2 + 0 + 1/6*h**4 + 4/3*h**3 - 21*h. Suppose j(v) = 0. What is v?
-2
Suppose 15 = 14*x - 9*x. Let m(v) be the first derivative of 0*v + 6 - 1/12*v**x - 1/4*v**2. Let m(t) = 0. What is t?
-2, 0
Suppose -5*a = -2*a - 21. Let z(m) = 0*m**2 - 32 + m + 29 + a*m**2. Let k(g) = -4*g**2 - g + 2. Let p(f) = -5*k(f) - 3*z(f). Factor p(v).
-(v - 1)**2
Suppose -47*v - 16 = -48*v. Let b be (6/v)/(6/8) - 0. Determine k so that -1/2*k**3 + 1/2 - 1/2*k**2 + b*k = 0.
-1, 1
Let i(k) = 2*k**2 + 7*k + 8. Let d be i(-4). Let n be 1 - (8/d + -1). Factor -2/3*u**2 + n - 2/3*u.
-2*(u - 1)*(u + 2)/3
Let z = 1158/1207 - 18/71. Factor z - 2/17*s**3 + 14/17*s + 0*s**2.
-2*(s - 3)*(s + 1)*(s + 2)/17
Let d(i) = -i + 17. Let b be d(15). Suppose 7*g - b*g - 15 = 0. Solve 2*p**3 - 2*p**3 + 4*p**g + 5*p**3 + 3*p**2 - 12*p**4 = 0 for p.