 be the second derivative of -j**7/210 + j**6/120 + 17*j**2/2 - 2*j. Let c(g) be the first derivative of b(g). Factor c(v).
-v**3*(v - 1)
Let t be 0 - (0 - (6 + -2)). Factor y**t + y**3 - 2*y**4 - 2 + 2.
-y**3*(y - 1)
Suppose 0 = 8*z - 0 + 15 - 31. Determine u so that -2/3*u**z + 2/3 + 1/3*u**3 - 1/3*u = 0.
-1, 1, 2
Factor -80 - 4*q + 92 - 3*q - q**2 + 6*q.
-(q - 3)*(q + 4)
Let p be -6 + 7 - (-1)/1. Let -3*o**p - 19*o - 2*o**4 + 5*o - 2*o + 11*o**3 + 4 + 6*o**4 = 0. What is o?
-2, 1/4, 1
Suppose -8 = 5*h - 2*n, -16 = h - 6*n + 2*n. Factor -c**2 - c**2 - 4 + h + 3*c**2.
(c - 2)*(c + 2)
Let g = 1787/3 + -593. Let y = 40/3 + -12. Factor 0*u**4 + g*u**3 - y*u + 0 + 0*u**2 - 4/3*u**5.
-4*u*(u - 1)**2*(u + 1)**2/3
Let w(j) be the third derivative of -j**5/270 - j**4/3 + 3*j**2 + 13. Factor w(p).
-2*p*(p + 36)/9
Suppose 2*x - 23 = -l + 5*x, 0 = 3*l + 5*x + 1. Let z be 105/78 - l/(-52). Solve 0 - z*j**3 + 3/2*j + 3/4*j**2 - 3/4*j**4 = 0.
-2, -1, 0, 1
Let y(v) = -3*v**2 - 35*v - 32. Let n(u) = -u**2 + 1. Let t(w) = -20*n(w) + 5*y(w). Solve t(q) = 0.
-1, 36
Let f(i) = i - 12. Let u be f(18). Let p(n) = -n**2 + 3*n + 18. Let v be p(u). Factor v - 2/9*c - 2/9*c**2.
-2*c*(c + 1)/9
Find n such that 12 + n**2 - 2*n + 8*n + 8*n + 0*n + n**2 = 0.
-6, -1
Let w be (-45)/18 - 5/(-2). Let t(x) be the second derivative of 7*x - 1/30*x**5 + w + 1/9*x**3 + 2/3*x**2 - 1/9*x**4. Factor t(u).
-2*(u - 1)*(u + 1)*(u + 2)/3
Find t such that 422*t**4 - 15*t**3 - 443*t**4 + 46*t**2 + 8*t + 2*t**2 - 20*t = 0.
-2, 0, 2/7, 1
Let y(h) be the second derivative of h**4/12 - 5*h**3/3 + 27*h**2/2 + 4*h. Let u be y(5). Determine j so that 1/4*j**u - 1/4*j + 0 = 0.
0, 1
Suppose -3*v + 20 = -7*v. Let o be 9/2*((-50)/15)/v. Factor o*w**2 - 9/4*w + 0 - 3/4*w**3.
-3*w*(w - 3)*(w - 1)/4
Suppose -c = 5*u - 9, -u + 17 = -4*u + 5*c. Let z(i) = -i**5 - i**4 - i**3 - i. Let x(k) = -2*k**5 - k**4 - k. Let m(r) = u*x(r) - z(r). Solve m(f) = 0.
-1, 0, 1
Let t = -83 - -92. Suppose 1 = -t*x + 37. Solve 0 - 1/6*c**x + 1/3*c**2 - 1/6*c**3 + 0*c = 0 for c.
-2, 0, 1
Let g be (35 + -35)/(-1 + -1 - -4). Find x such that -4/7*x**2 + 0*x - 2/7*x**4 + g - 6/7*x**3 = 0.
-2, -1, 0
Let t = -4 + 6. Let z be (324/8)/((-9)/(-12)). What is m in -2*m**3 - 37*m + 12*m**2 - 30*m**t - z - 17*m = 0?
-3
Let n(p) be the first derivative of p**7/14 - p**6/2 + 6*p**5/5 - p**4 - p + 15. Let h(q) be the first derivative of n(q). Factor h(t).
3*t**2*(t - 2)**2*(t - 1)
Let y(n) be the first derivative of -19 + 70/9*n**3 - 8*n**2 + 8/3*n. Find d such that y(d) = 0.
2/7, 2/5
Let z(j) be the third derivative of 0 - 3*j - 1/100*j**5 + 0*j**3 - 12*j**2 + 1/200*j**6 - 1/20*j**4. Solve z(u) = 0 for u.
-1, 0, 2
Let j(k) be the first derivative of 1/6*k**4 + 0*k - 20/27*k**3 + 22 + 1/3*k**2. Factor j(i).
2*i*(i - 3)*(3*i - 1)/9
Let s be 3*((-8)/(-3))/4. Suppose -82 = 2*g - 86. Factor -2*k**s + k**3 + 2*k**3 + 2*k**g - 3*k**2.
3*k**2*(k - 1)
Let f(m) be the first derivative of -m**6/21 - 2*m**5/5 - 9*m**4/7 - 44*m**3/21 - 13*m**2/7 - 6*m/7 - 13. Factor f(g).
-2*(g + 1)**4*(g + 3)/7
Let i be (357/(-63))/(221/(-26)). Let 0 + 4/3*b**3 + i*b - 2*b**2 = 0. Calculate b.
0, 1/2, 1
Let t be 6/((-29)/(-6) - 585/390). Suppose 0*j**3 - t*j**2 + 3/5*j**4 + 6/5*j + 0 = 0. What is j?
-2, 0, 1
Let i(n) be the first derivative of -n**6/24 - n**5/4 + 7*n**4/16 + 5*n**3/12 - 3*n**2/4 + 117. Let i(c) = 0. Calculate c.
-6, -1, 0, 1
Suppose -d = -0*d. What is q in -3*q**3 + 12 + d*q**2 - 3*q**2 + q**2 - 7*q**2 = 0?
-2, 1
Let z(b) be the third derivative of 1/24*b**6 - 1/4*b**5 + 5/3*b**3 - 5/24*b**4 - 30*b**2 + 1/42*b**7 + 0*b + 0. Factor z(o).
5*(o - 1)**2*(o + 1)*(o + 2)
Let z = 1341 + -100574/75. Let l(h) be the second derivative of 10*h + 0*h**2 + 0 - z*h**6 + 1/50*h**5 + 0*h**3 + 0*h**4. Determine q so that l(q) = 0.
0, 1
Suppose 3*p - 12 = -0. Suppose a - 1 = 4*f, -p*f - 6*a + 5 = -a. Factor -4/3*l**2 - 2*l**3 + 0 - 2/3*l**4 + f*l.
-2*l**2*(l + 1)*(l + 2)/3
Let o(w) = -w**3 - w**2 - w + 1. Let k(r) = 2*r**4 + 83*r**3 - 273*r**2 + 271*r - 89. Let m(y) = -k(y) + 3*o(y). Factor m(p).
-2*(p - 1)**3*(p + 46)
Let y(q) be the third derivative of -q**5/240 - 53*q**4/96 - 13*q**3/6 + 15*q**2 - 3*q. Factor y(x).
-(x + 1)*(x + 52)/4
Suppose -4*o + 36 = 4*l - 0*l, 0 = -2*l + 5*o + 11. Factor -6*u - 5*u**2 + 12 - l*u + u**2 + 6*u.
-4*(u - 1)*(u + 3)
Let d(n) be the second derivative of n**8/2240 - n**7/840 + n**4/2 - 2*n. Let j(v) be the third derivative of d(v). Let j(m) = 0. What is m?
0, 1
Let x(b) = 1. Let t(u) = -u**3 + 12*u - 12. Let s be 21/(-28)*-1 - 15/4. Let l(r) = s*t(r) + 12*x(r). Solve l(v) = 0.
-4, 2
Suppose -5*o - 35 = -105*n + 110*n, -50 = 5*n. Find h such that 2/5*h**o + 0 + 0*h**2 + 0*h = 0.
0
Let r be (6 + -14 - -8)*3/6. Find z, given that r + 0*z + 4/9*z**3 + 0*z**2 + 2/9*z**4 = 0.
-2, 0
Find v such that 3/5*v**4 - 3*v**3 + 12/5 - 3*v**2 + 12/5*v + 3/5*v**5 = 0.
-2, -1, 1, 2
Let n(y) be the second derivative of y**7/840 - y**6/80 - y**4/2 + 15*y. Let v(u) be the third derivative of n(u). Factor v(c).
3*c*(c - 3)
Let s(w) be the second derivative of w**6/30 - 13*w**5/20 - w**4/12 + 13*w**3/6 - 23*w. Factor s(k).
k*(k - 13)*(k - 1)*(k + 1)
Factor -2/3*s**2 - 28/3 - 6*s.
-2*(s + 2)*(s + 7)/3
Suppose 0 = -47*r + 49*r - 32. Suppose 3*o = r*o. Suppose o - 1/2*n + 3/2*n**2 = 0. Calculate n.
0, 1/3
Suppose -15*y = -10*y + 5*r - 55, -y + 4*r + 16 = 0. Factor 3/4*c**4 + 9/2*c**3 + y - 18*c + 3/4*c**2.
3*(c - 1)**2*(c + 4)**2/4
Solve -3*y**4 - 100*y**2 - 40 + 13*y**3 - y**4 + 108*y + 23*y**3 = 0 for y.
1, 2, 5
Let d(i) be the first derivative of 44/5*i**5 + 2*i**4 + 0*i + 0*i**3 + 0*i**2 + 4 + 6*i**6. Find a such that d(a) = 0.
-1, -2/9, 0
Suppose -17/4*x**2 + 7*x - 3/4*x**3 - 1/4*x**5 - 3 + 5/4*x**4 = 0. Calculate x.
-2, 1, 2, 3
Determine o, given that -3242/9*o**3 - 98/9*o**5 - 872/9*o + 476/3*o**4 + 32/3 + 896/3*o**2 = 0.
2/7, 1, 12
Factor 2/13*f**3 + 40/13 - 10/13*f**2 - 8/13*f.
2*(f - 5)*(f - 2)*(f + 2)/13
Find k, given that 51*k**2 - 64*k**2 + 99*k + 10*k**2 + 102 = 0.
-1, 34
What is v in 32/17*v**2 - 2/17*v**4 + 0 + 4/17*v**3 - 64/17*v = 0?
-4, 0, 2, 4
Let w(x) = 5*x**2 - 449*x + 448. Let z be w(1). Solve 3/5*o**2 - 3/5*o**3 + 0*o + 0 + 3/5*o**5 - 3/5*o**z = 0 for o.
-1, 0, 1
Let z(r) be the first derivative of 0*r**2 + 1/3*r**3 - 4*r - 5. Factor z(w).
(w - 2)*(w + 2)
Factor 13/2 + 49/6*j - 1/6*j**3 + 3/2*j**2.
-(j - 13)*(j + 1)*(j + 3)/6
Let x(r) be the first derivative of -2*r**5/5 + 75*r**4/2 - 3028*r**3/3 + 4032*r**2 - 5184*r - 227. Factor x(v).
-2*(v - 36)**2*(v - 2)*(v - 1)
Factor 46/5 + 48/5*t + 2/5*t**2.
2*(t + 1)*(t + 23)/5
Let n = -4 + 16. Let h = n - 3. Factor -4*q**2 - 8*q + h - 14 + 5.
-4*q*(q + 2)
Let r(h) be the second derivative of -h**5/16 + 19*h**4/16 - 3*h**3 + 5*h**2/2 + 3*h + 35. Factor r(y).
-(y - 10)*(y - 1)*(5*y - 2)/4
Suppose -10 = -19*s + 28. Let v(q) be the first derivative of 1/16*q**4 + 2 + 1/2*q**s + 0*q + 1/3*q**3. Suppose v(h) = 0. Calculate h.
-2, 0
Let m(r) be the third derivative of r**6/660 + 2*r**5/165 + r**4/44 + 20*r**2 + r. Let m(d) = 0. What is d?
-3, -1, 0
Let y(u) be the first derivative of 2738*u**3/15 - 74*u**2/5 + 2*u/5 - 76. Factor y(w).
2*(37*w - 1)**2/5
Let a be (-247 - -247)*(2 + -1)/1. Determine n so that 1/3*n**4 + 1/3*n**5 - n**3 - 2/3*n - 5/3*n**2 + a = 0.
-1, 0, 2
Determine h so that 1/6*h**3 + 5/3 - 2/3*h**2 - 7/6*h = 0.
-2, 1, 5
Determine m, given that 3*m**2 - 32805 - 193*m - 540*m - 8*m**2 - 77*m = 0.
-81
Suppose -4*y - 25 = -k, 5*y = -4*k - 5 - 21. Let t be (y/(-15))/(1/5). What is f in f**2 - 5*f**2 + 2*f**4 + 2*f**t = 0?
-1, 0, 1
Suppose 12 = -4*i, 0 = -0*o - 5*o + i + 13. Factor -57 - 8*n**o + 15*n - 8*n**2 + 53 + n.
-4*(2*n - 1)**2
Let h(w) be the third derivative of w**5/45 + 5*w**4/72 + w**3/18 - 250*w**2. Find c, given that h(c) = 0.
-1, -1/4
Let j(i) = -i**3 + 8*i**2 - 11*i - 4. Let b be j(6). Suppose 9*m**2 - 3*m**4 + 8*m + 4*m**b - 8*m**3 - m**4 - 9*m**2 = 0. Calculate m.
-2, -1, 0, 1
Let n(l) = l**4 - 8*l**3 + 161*l**2 - 498*l - 2. Let i(m) = -4*m**4 + 23*m**3 - 476*m**2 + 1493*m + 7. Let g(u) = 4*i(u) + 14*n(u). Solve g(f) = 0.
-20, 0, 5
Suppose -26*n = -24*n. Solve n - 2*d**3 + 4/3*d**2 - 1/3*d**5 - 1/3*d + 4/3*d**4 = 0 for d.
0, 1
Let g(z) = z**3 + z**2 + z + 1. Suppose -