/8
Let g(k) = 3*k**2 - 3*k - 1. Let d be (8/(-18))/(16/(-72)). Let v be g(d). Let 18*i + 8*i**2 - 12*i**3 - 39*i - 48*i**4 - 28*i**v + 21*i = 0. Calculate i.
-1, 0, 2/7
Factor 2/3*q**4 + 158/3*q**2 + 0 - 38/3*q**3 + 66*q.
2*q*(q - 11)*(q - 9)*(q + 1)/3
Suppose -3*j - 314 + 407 = 0. Let -194*h - j*h - 5*h**2 + 10*h**2 = 0. Calculate h.
0, 45
Let k(b) be the second derivative of -2*b**6/15 + 79*b**5/5 + 464*b - 3. What is n in k(n) = 0?
0, 79
Let v(b) = 2*b**3 - 31*b**2 + 44*b. Suppose -13*t + 30*t + 51 = 0. Let r(h) = h**3 - 16*h**2 + 22*h. Let a(f) = t*v(f) + 5*r(f). Factor a(u).
-u*(u - 11)*(u - 2)
Let p(u) = 7*u**5 - 10*u**4 - 6*u**3 + 34*u**2 - 15*u + 5. Let i(x) = 11*x**5 - 15*x**4 - 9*x**3 + 51*x**2 - 22*x + 8. Let c(r) = -5*i(r) + 8*p(r). Factor c(g).
g*(g - 5)*(g - 1)**2*(g + 2)
Let y(d) = -7*d**4 + 536*d**3 - 530*d**2 - 536*d + 529. Let i(u) = 57*u**4 - 4287*u**3 + 4239*u**2 + 4287*u - 4230. Let l(w) = -4*i(w) - 33*y(w). Factor l(z).
3*(z - 179)*(z - 1)**2*(z + 1)
Find s, given that 55/3*s - 1/3*s**2 - 222 = 0.
18, 37
Let d(g) be the third derivative of -2/105*g**7 + 0 + 17/6*g**4 - 127*g**2 - 7/3*g**5 + 19/30*g**6 + 0*g + 0*g**3. Solve d(b) = 0 for b.
0, 1, 17
Suppose -2*f + 4*s = -110 + 96, -2*f + 3*s + 12 = 0. Factor -2/3*n**2 + 1/3*n**5 + 0 + 0*n**f - 1/3*n + 2/3*n**4.
n*(n - 1)*(n + 1)**3/3
Let r be (-2 + 1)*(-21 + 16). Suppose 646*s + 7*s**5 + 237*s**4 + r*s**5 - 168*s**2 + 390*s - 816*s**3 + 336 + 9*s**5 + 164*s = 0. What is s?
-14, -1, -2/7, 2
Let m(n) = -4*n - 75. Let j be m(-20). Factor x**4 + 3335*x**2 + 32*x**4 - 3296*x**2 - 75*x**3 + 3*x**j.
3*x**2*(x - 1)**2*(x + 13)
Let q be 3/10 - (-2 + (-6)/((-7200)/2710)). Let f(s) be the third derivative of -1715/6*s**3 - q*s**6 - 7/4*s**5 - 15*s**2 - 245/8*s**4 + 0 + 0*s. Factor f(n).
-5*(n + 7)**3
Let r = 67361/2 - 33680. Factor r*i**2 + i**3 - 2 - 4*i.
(i - 2)*(i + 2)*(2*i + 1)/2
Suppose -410*y + 5 = -1513*y + 5. Factor -2/3*u - 10/9*u**2 + 2/9*u**4 - 2/9*u**3 + y.
2*u*(u - 3)*(u + 1)**2/9
Let o(y) = 2*y - 12. Let r be o(4). Let p(l) = -l**2 - 15*l - 12. Let a(v) = -5*v**2 - 61*v - 47. Let c(m) = r*a(m) + 18*p(m). Factor c(j).
2*(j - 14)*(j + 1)
Let c = -1165751 - -1165751. Factor c - 3*v + 17/2*v**2 - v**4 - 9/2*v**3.
-v*(v - 1)*(v + 6)*(2*v - 1)/2
Let r = 3135 - 3135. Let b(c) be the third derivative of 0*c - 19/525*c**7 + 1/120*c**8 + 1/20*c**6 + 0*c**3 - 1/30*c**4 - 1/150*c**5 + 7*c**2 + r. Factor b(j).
2*j*(j - 1)**3*(7*j + 2)/5
Let l = 17488 - 17484. Let z(g) be the third derivative of 0 + 7*g**2 - 625/6*g**3 + 0*g + 125/8*g**l - 5/4*g**5 + 1/24*g**6. Factor z(w).
5*(w - 5)**3
Suppose -2*l - 2*g = 0, -2*l - 10 = -g - 19. Let t be (-1)/2*l*(-1 - 1). What is m in -4/7*m**t - 8/7*m**2 - 4/7*m + 0 = 0?
-1, 0
Let s(c) be the first derivative of 156*c**4 + 474552*c**2 + 12168*c**3 + 26 + 4/5*c**5 + 9253764*c. Factor s(p).
4*(p + 39)**4
Let a = 9265/27831 + 4/9277. Let u(y) be the second derivative of 1/20*y**5 + 5/6*y**3 + 0 + y**2 + a*y**4 + 18*y. Factor u(m).
(m + 1)**2*(m + 2)
Let c(k) be the first derivative of k**4/26 - 14*k**3/39 - 28*k**2/13 - 40*k/13 + 1000. Factor c(m).
2*(m - 10)*(m + 1)*(m + 2)/13
Let q(c) = -31*c**2 + 15*c + 16. Let k(n) = 33*n**2 - 2*n - 2. Let g be k(-1). Let o(v) = -6*v**2 + 3*v + 3. Let w(t) = g*o(t) - 6*q(t). Factor w(f).
-3*(f - 1)*(4*f + 1)
Suppose -3*x + 10 - 1 = 0. Factor 4*c**4 + 0*c**3 - 108*c**2 - 208*c - 106 - 6 - 8*c**x.
4*(c - 7)*(c + 1)*(c + 2)**2
Let w = -80 + 115. Let f(l) = 9*l**3 + 26*l**2 - 14*l. Let p(c) = -55*c**3 - 155*c**2 + 85*c. Let b(g) = w*f(g) + 6*p(g). Suppose b(n) = 0. What is n?
-2, 0, 2/3
Let l be 2 - (-23 - (5 - 14)). Determine u so that 8*u**4 + 5 + 56*u**5 - l*u**2 - 2*u**3 + 3 - 30*u**5 + u - 25*u**5 = 0.
-8, -1, 1
Let r(l) = 3920*l + 27442. Let n be r(-7). Suppose -4/3*y**3 - y**n + 4/3*y + 4/3 - 1/3*y**4 = 0. Calculate y.
-2, -1, 1
Let z(a) = 13*a - 3*a + 365*a**2 - 366*a**2 - 7. Let y be z(9). Solve 8 + 4*i**4 + 4*i - 20*i**y - 4*i**3 + 4*i**2 + 4*i**2 = 0.
-1, 1, 2
Determine m, given that 1/4*m**5 + 0 + 7/4*m**4 - 19/4*m**2 - 3/4*m**3 + 7/2*m = 0.
-7, -2, 0, 1
Let q(i) be the third derivative of 0*i + 0*i**3 - i**4 - 11/15*i**5 + 8*i**2 - 2/105*i**7 - 1/5*i**6 + 0. Factor q(a).
-4*a*(a + 1)*(a + 2)*(a + 3)
Let q(s) = -53*s - 206. Let t be q(-4). Let y(n) be the second derivative of -1/6*n**3 + 0*n**2 + 1/12*n**4 - t*n + 0. Let y(z) = 0. Calculate z.
0, 1
Let a(z) = -26*z + 565. Let c be a(21). Let t be (c/(38/(-4)))/(-5). Factor -t*i**2 - 4/15 + 2/3*i.
-2*(i - 1)*(3*i - 2)/15
Let y = -28 - -32. Suppose -5*l - 2 = -3*n + y, -n = 4*l - 2. Determine u, given that 315*u**3 - 612*u + 27*u**4 + 1155*u**n + 108 - 9*u**3 - 396*u**2 = 0.
-6, 1/3
Suppose -5*c - 5*c + 280 = 0. Suppose -5*t - f + 40 = 4*f, 2*t - c = -5*f. Factor -252*x**3 - 2*x**t - x**4 + 252*x**3 + 3*x**2.
-3*x**2*(x - 1)*(x + 1)
Let x(z) be the second derivative of z**6/80 - 27*z**5/160 + 7*z**4/32 + 45*z**3/16 + 21*z**2/4 - 8*z - 118. Let x(h) = 0. What is h?
-1, 4, 7
Let 2/7*m**3 + 4/7*m + 0 - 1/7*m**4 + m**2 = 0. Calculate m.
-1, 0, 4
Let z be (-27 + 13)/(-84) - (-15)/6. Factor 104/9*h + z - 2*h**2.
-2*(h - 6)*(9*h + 2)/9
What is y in -435*y**3 - 439*y**3 + 404*y + 1320*y**3 - 1014*y**2 - 436*y**3 = 0?
0, 2/5, 101
Let w = 16 + -18. Let a be (4/5*5)/((-1)/w). Factor 6 + 8*m**2 - 4*m + 4*m**5 - a*m**4 - 6.
4*m*(m - 1)**3*(m + 1)
Find s such that 185 - 61*s**3 - 32*s**2 + 103*s**3 - 19 - 98*s - 70*s - 2*s**4 - 6 = 0.
-2, 1, 2, 20
Let c = 16/163 + 559/2608. Let b(q) be the first derivative of 21 - c*q**4 + 5/2*q**2 - 5/4*q**3 - q + 1/5*q**5. Solve b(f) = 0 for f.
-2, 1/4, 1, 2
Suppose -172*m = -2079 + 1563. Let s(c) be the first derivative of -1/3*c**m + 0*c + 3 + 5/2*c**2. Solve s(y) = 0 for y.
0, 5
Let d(u) be the third derivative of u**9/181440 - u**8/60480 - 17*u**5/10 + 114*u**2. Let f(v) be the third derivative of d(v). Factor f(c).
c**2*(c - 1)/3
Find y, given that 19298*y - 23728*y**3 + 2944*y**3 - 55458*y**2 + 1185*y**4 + 22500 + 17367*y**2 - 7710*y**3 - 12*y**5 - 5198*y = 0.
-1, 3/4, 50
Suppose 220*z - 131 = 95*z + 54*z + 11. Factor -16/5 - 22/5*q + 3/5*q**z.
(q - 8)*(3*q + 2)/5
Let f(a) be the second derivative of a**6/240 - 7*a**5/40 + 5*a**4/2 + 7*a**3 + 64*a - 2. Let k(o) be the second derivative of f(o). Factor k(x).
3*(x - 10)*(x - 4)/2
Let x(u) be the third derivative of u**8/2352 + u**7/70 + 11*u**6/168 + u**5/28 - u**4/3 - 6*u**3/7 + 7112*u**2. Determine n, given that x(n) = 0.
-18, -2, -1, 1
Let u(z) be the second derivative of z**7/84 - 7*z**6/20 + z**5/2 + 32*z + 1. Determine b, given that u(b) = 0.
0, 1, 20
Let d(y) = -y**3 + y**2 + 2*y + 3. Let m be d(0). Let n be 3 + -3 + m + -1. Factor -60 - 45*u**n - 10*u + 31 + 29 - 35*u**3.
-5*u*(u + 1)*(7*u + 2)
Let i = 136953/4 + -34238. Let j(n) be the first derivative of 0*n + i*n**4 - 4/3*n**3 + 20 + 2*n**2. Determine y, given that j(y) = 0.
0, 2
Suppose 6*j + 5 = j + 5*o, -3*o + 15 = 0. Let b(n) be the second derivative of 1/80*n**5 + 17*n + 0*n**j + 0 + 1/4*n**2 - 1/8*n**3. Let b(v) = 0. What is v?
-2, 1
Suppose p = -2*l - 5, 35 = -381*p + 386*p - 5*l. Let -195/8*s**p + 0 + 39/2*s**2 - 21/8*s**4 + 15/2*s = 0. What is s?
-10, -2/7, 0, 1
Find t, given that 26 + t**2 + 137 + 4*t**2 - 3 + 90*t = 0.
-16, -2
Let k be (-364)/60 + (-84)/(-4 - 8). Find z such that -14/15*z + k*z**3 + 8/15 - 8/15*z**2 = 0.
-1, 4/7, 1
Let w = 4537/9 + -18013/36. Factor 3*i**2 + 3/4*i**3 + w*i + 3/2.
3*(i + 1)**2*(i + 2)/4
Solve 1/2*c**5 - 17/2*c**4 + 480 - 176*c + 48*c**3 - 74*c**2 = 0.
-2, 4, 5, 6
Let s(p) be the second derivative of p**7/63 - p**6/9 - 11*p**5/10 - 31*p**4/18 + 32*p**3/9 + 12*p**2 - 391*p. Solve s(w) = 0 for w.
-2, -1, 1, 9
Let p(r) = r**5 + 5*r**3 + r. Let a(g) = 8*g**5 - 36*g**4 - 60*g**3 - 176*g**2 - 84*g. Let d(n) = a(n) - 12*p(n). Factor d(h).
-4*h*(h + 2)**3*(h + 3)
Suppose 20/9*q**3 + 46/9*q - 1/9*q**4 + 67/9*q**2 + 0 = 0. What is q?
-2, -1, 0, 23
Find h such that -627*h**4 + 121*h**5 - 1 - 439/2*h**2 + 2501/4*h**3 + 105/4*h = 0.
1/11, 1/2, 4
Let t(i) be the third derivative of i - 7/20*i**4 + 147/10*i**3 + 37*i**2 + 0 + 1/300*i**5. Factor t(w).
(w - 21)**2/5
Let o(y) = y**3 - 62*y**2 - 68*y + 5. Let m(t) = -2*t**2 - t - 1. Let d(b) = 5*m(b) + o(b). Factor d(s).
s*(s - 73)*(s + 1)
Su