*4 - 30*o**4 - 317*o**2 + 172*o**3 - 272*o - 8*o**4 + 381*o**2 - 128 = 0. What is o?
-8, -1, -1/2, 2
Let u be (-7340)/367 - (109/(-5) - -1). Factor -2/5*l - 2/5*l**3 + 0 + u*l**2.
-2*l*(l - 1)**2/5
Factor -36*c**2 + 160522*c**3 - 9*c**2 - 160527*c**3.
-5*c**2*(c + 9)
Let b(y) = y**2 + 1891*y + 190898. Let s be b(-107). Solve -10*c + 5/2*c**5 - 10*c**4 + s*c**2 + 0 + 15/2*c**3 = 0.
-1, 0, 1, 2
Let l(x) be the first derivative of x**5/40 - x**4/16 - 29*x**3/24 - 21*x**2/8 - 2538. Let l(i) = 0. What is i?
-3, -2, 0, 7
Let s be (2/8)/((-1)/(-12)). Factor 51*j - 15*j**3 - s*j**4 + 6*j**4 - 48*j + 21*j + 6*j**2.
3*j*(j - 4)*(j - 2)*(j + 1)
Let k(f) = 2*f**2 + 22*f + 16. Let a be k(-10). Let u(m) = 24*m**2 + 57*m + 33. Let z(y) = 3*y**2 + 7*y + 4. Let p(v) = a*u(v) + 33*z(v). Factor p(w).
3*w*(w + 1)
Let w = 115 - -101. Factor -8*q**4 - 432*q + 2592 + 60*q**3 - w*q**2 - 20*q**4 + 24*q**4.
-4*(q - 6)**3*(q + 3)
Let p(y) be the third derivative of -y**7/210 - 29*y**6/120 + y**5/60 + 29*y**4/24 + 21*y**2 + 113. Factor p(q).
-q*(q - 1)*(q + 1)*(q + 29)
Let w(k) be the second derivative of k**4/66 - 95*k**3/11 - 26*k**2 + 20*k + 3. Factor w(f).
2*(f - 286)*(f + 1)/11
Factor 825/2*v - 136125/4 - 5/4*v**2.
-5*(v - 165)**2/4
Let n(f) be the first derivative of -8/5*f**2 + 2/15*f**3 - 8*f + 74. Factor n(i).
2*(i - 10)*(i + 2)/5
Let v = 375 + -373. Let q be 5 + (-145)/25 + -1 + v. Suppose 1/5*p + 4/5*p**2 + 0 + 6/5*p**3 + 4/5*p**4 + q*p**5 = 0. Calculate p.
-1, 0
Suppose 1/4*m**2 - 103/4*m + 0 = 0. What is m?
0, 103
Suppose 3*a - 441 = -3*u, 4*u - 121 = -a + 41. Let y = a - 138. Suppose 4/5*p**2 + y + 24/5*p = 0. Calculate p.
-5, -1
Let b(z) be the first derivative of 75*z**5/7 + 20175*z**4/28 - 1170*z**3 + 4938*z**2/7 - 1320*z/7 - 494. Factor b(v).
3*(v + 55)*(5*v - 2)**3/7
Let r(o) be the second derivative of -o**6/225 - 43*o**5/75 + 106*o**4/15 - 154*o**3/5 + 279*o**2/5 - 1742*o - 2. Solve r(z) = 0.
-93, 1, 3
Suppose -25 = -2*z - 15. Suppose 5*x - 12*p + 20 = -8*p, -5*x + 25 = z*p. Solve x + 2/3*g**2 + 4/3*g = 0 for g.
-2, 0
Let t(z) = -2*z**4 + 18*z**3 + 74*z**2 + 70*z + 24. Let b(d) = -d**2. Suppose -38*w - 48 = -32*w. Let r(p) = w*b(p) - t(p). Factor r(s).
2*(s - 12)*(s + 1)**3
Let a(g) be the first derivative of -1/4*g**4 - 36/5*g - 32 - 56/5*g**2 - 19/5*g**3. Determine v so that a(v) = 0.
-9, -2, -2/5
Let h(c) = 1462*c - 154970. Let o be h(106). Factor 9/2 - 6*l**o + 3/2*l.
-3*(l - 1)*(4*l + 3)/2
Let z = -2173 - -2176. Let h be (68 + -64)/(z/(45/66)). Factor 2/11*s**2 - h*s + 2/11*s**3 + 6/11.
2*(s - 1)**2*(s + 3)/11
Let u(v) = -v**2 + 17*v + 300. Let a be u(-13). Let m be a/(-27)*(-15)/(-25). Factor -8/3*j**m - 4/3*j**3 + 0*j + 4/3*j**4 + 0.
4*j**2*(j - 2)*(j + 1)/3
Solve -2258*z**4 + 425*z**3 + 2453*z**4 - 12*z + 12*z - 5*z**5 - 615*z**2 = 0 for z.
-3, 0, 1, 41
Let p(r) = 4*r**3 + 1580*r**2 - 312065*r + 3. Let d(z) = -22*z**3 - 9480*z**2 + 1872385*z - 17. Let h(o) = -6*d(o) - 34*p(o). Let h(a) = 0. What is a?
0, 395
Let z(n) = -n**3 + 34. Let f be -2 + (8/(-6))/((-4)/6). Let o be z(f). Suppose -4*b**3 + 130*b**5 + 50*b**5 + o*b**4 + 10*b**2 - 219*b**4 - b**3 = 0. What is b?
-2/9, 0, 1/4, 1
Suppose 0*b + 11*b + 14 = 14. Let u(a) be the third derivative of 21*a**2 + 1/10*a**4 + 0 + 3/25*a**5 + 1/30*a**3 + b*a. Determine c, given that u(c) = 0.
-1/6
Factor -727524*g**2 + 6550 + 2007*g + 727527*g**2 - 2548.
3*(g + 2)*(g + 667)
Let s(x) = x**2 + 26*x - 25. Let n be s(-27). Factor -n*v - 5*v**5 - 8*v**2 - 6*v + 9*v**5 - 12*v**3 - 4*v**4 + 28*v**2.
4*v*(v - 1)**3*(v + 2)
Let r(y) be the first derivative of 1/12*y**6 + 14 + 0*y - 3/2*y**2 + 5/8*y**4 - 7/10*y**5 + 7/6*y**3. Find k such that r(k) = 0.
-1, 0, 1, 6
Let y be (-6201)/(-15) + 4*3/20. Let i be 5 + 0 - y/92. Factor -i*l + 0 + 1/2*l**2.
l*(l - 1)/2
Let i(t) = t**3 - t**2 - t + 1. Let k(w) = -15*w**3 - 6*w**2 - 10*w + 16*w**3 + 6 + 12*w**3 - 3*w**3. Let n(o) = 8*i(o) - k(o). Find p such that n(p) = 0.
-1, 1
Let g(t) be the second derivative of -1/315*t**7 + 0*t**2 - 1/45*t**4 + 0*t**5 - 3 - 2*t + 2/225*t**6 + 1/45*t**3. Determine c so that g(c) = 0.
-1, 0, 1
Let k(l) be the first derivative of 56*l**6/3 + 3496*l**5/5 - 2793*l**4/4 + 734*l**3/3 - 32*l**2 + 3650. Suppose k(f) = 0. What is f?
-32, 0, 1/4, 2/7
Let v = -4936/27 + 249790/513. Let s = v - 304. Factor 0 + s*y**4 + 12/19*y**3 + 0*y**2 - 64/19*y.
2*y*(y - 2)*(y + 4)**2/19
Let k(v) be the second derivative of -v**7/14 + 27*v**6/10 - 69*v**5/5 - 1029*v. Factor k(l).
-3*l**3*(l - 23)*(l - 4)
Suppose 3*q = -4*k + 56, -2*k - q = -779 + 759. Determine u, given that 288/7*u - 6912/7 - 3/7*u**k = 0.
48
Let i(v) = -v**3 - 627*v**2 + 2000*v - 1330. Let n(u) = u**3 + 939*u**2 - 3000*u + 1994. Let j(y) = -11*i(y) - 7*n(y). Factor j(b).
4*(b - 2)*(b - 1)*(b + 84)
Suppose 32 = -10*i + 26*i. Factor -38*u**i + 11160*u - 1421*u**3 + 407*u**2 - 11532 + 1424*u**3.
3*(u - 1)*(u + 62)**2
Let j(u) be the second derivative of -u**6/6 - 11*u**5/4 - 175*u**4/12 - 65*u**3/6 + 150*u**2 + 424*u. Find b, given that j(b) = 0.
-5, -4, -3, 1
Let i(s) = 11*s**2 - 5318*s + 10354. Let m(a) = -2*a**2 + 888*a - 1726. Let n(h) = 6*i(h) + 34*m(h). Factor n(p).
-2*(p - 2)*(p + 860)
Let m(k) be the second derivative of 4 - k**3 + 0*k**2 - 4*k - 1/6*k**4. Factor m(i).
-2*i*(i + 3)
Let u(n) be the first derivative of -2/3*n**4 + 2/15*n**5 + 0*n + 0*n**2 + 2/3*n**3 + 114. Factor u(b).
2*b**2*(b - 3)*(b - 1)/3
Let i = 723365 - 2170093/3. Let -i*y**3 - 36*y**2 - 520*y - 2704/3 = 0. What is y?
-26, -2
Let q = -461 - -492. Factor -q*h**3 + 19*h**3 + 2*h**2 + 2*h**2 + 14*h**3 - 18*h + 2*h.
2*h*(h - 2)*(h + 4)
Let o(l) be the second derivative of -160*l**7/63 - 16*l**6/5 + 787*l**5/15 - 253*l**4/3 + 476*l**3/9 - 16*l**2 - 217*l - 2. Suppose o(z) = 0. What is z?
-4, 1/4, 3/5, 2
Let d(s) be the second derivative of -s**6/45 + s**5/6 - 2*s**4/9 + 1635*s. What is j in d(j) = 0?
0, 1, 4
Let u be -4 + -7 + 15 + -2. Suppose 4*v - 44 + 12 = 0. Let 11*o - 5*o**u + 20 + v*o - 4*o = 0. Calculate o.
-1, 4
Let b = 631821 + -1895456/3. Determine q, given that q**3 - b*q**2 - 1/3*q**5 + 0 + q**4 - 2*q = 0.
-1, 0, 2, 3
Let f(q) be the second derivative of -q**7/735 - q**6/140 - q**5/105 - 49*q**2/2 + 61*q. Let y(m) be the first derivative of f(m). Factor y(s).
-2*s**2*(s + 1)*(s + 2)/7
Let o be (-31)/(-28) + (-6)/(-4)*(-16)/96. Factor 2/7*f**5 + 6/7*f**3 + 0 + o*f**4 + 2/7*f**2 + 0*f.
2*f**2*(f + 1)**3/7
Let h = 89303 - 89301. Suppose 9/2*n**h - 3/2*n**4 - 42*n + 15*n**3 - 30 = 0. What is n?
-1, 2, 10
Let n(d) = -5*d**4 - d**3 + 2*d**2 + d. Let b(a) = 128*a**4 + 2330*a**3 - 663604*a**2 - 26*a. Let v(z) = -2*b(z) - 52*n(z). What is x in v(x) = 0?
0, 576
Suppose -6*p = -5*p + 6. Let z = p - -7. Determine f so that 12*f**2 + z - 2 + 12*f + 4*f**3 + 5 = 0.
-1
Factor -2/5*c**3 - 232/5*c**2 + 3542/5*c - 2548.
-2*(c - 7)**2*(c + 130)/5
Let o(p) = p**2 + 65*p + 507. Let g be o(-9). Find q, given that -87/5*q**2 + 9/5*q**g + 12/5 - 36/5*q + 15*q**4 + 27/5*q**5 = 0.
-2, -1, 2/9, 1
Suppose 0 = -v - 2*n + 30, 3*v - 58 = -25*n + 23*n. Let r(d) be the third derivative of -1/30*d**4 + 0*d - 1/300*d**5 + 1/6*d**3 + 0 - v*d**2. Solve r(o) = 0.
-5, 1
Suppose 720 = -23*x + 41*x. Let o be 16/x + (-588)/(-330). Let o*t - 36/11*t**2 + 16/11 + 10/11*t**3 = 0. What is t?
-2/5, 2
Let v(l) be the third derivative of -11*l - 8*l**2 + 1/200*l**6 + 14/15*l**3 + 1/40*l**4 + 0 - 11/150*l**5. Factor v(b).
(b - 7)*(b + 1)*(3*b - 4)/5
Let g(t) be the third derivative of 7/6*t**3 + 0*t**4 + 0 + 0*t + 1/3240*t**6 + 30*t**2 - 1/216*t**5. Let f(r) be the first derivative of g(r). Factor f(h).
h*(h - 5)/9
Suppose y + v + 3*v = 13, 16 = 4*y - 2*v. Let k be (y/(-30)*2)/((-1)/6). Factor -k*c**2 + 104*c**3 - 210*c**3 - 2*c**4 + 110*c**3.
-2*c**2*(c - 1)**2
Factor -790*z - 534*z + 2527*z - z**2 + 3845*z - 6370576.
-(z - 2524)**2
Factor -208*p - 160 + 367*p - 36*p**2 + 37*p**2.
(p - 1)*(p + 160)
Let 308*u**2 - 23716*u + 1826132/3 - 4/3*u**3 = 0. What is u?
77
Factor 2/9*k**4 - 1840/3*k**3 - 1557376000/9*k + 0 + 1692800/3*k**2.
2*k*(k - 920)**3/9
Let i(j) be the second derivative of j**7/336 - 7*j**6/240 + 3*j**5/40 + j**4/24 - j**3/3 + 283*j - 1. Find h such that i(h) = 0.
-1, 0, 2, 4
Let f(w) = w**3 + 5*w**2 + 8*w + 28. Let q be f(-4). Let r be (8/