 + 15/4*y**2 - 101 - 18*y. Factor q(t).
-(t - 3)**2*(t + 4)/2
Let a(d) be the first derivative of 43 - 2/7*d**6 - 24/7*d**2 + 16/7*d + 15/7*d**4 + 4/35*d**5 - 20/21*d**3. Determine s so that a(s) = 0.
-2, -1, 1/3, 1, 2
Suppose -2/17*f**2 - 2896/17*f - 1048352/17 = 0. What is f?
-724
Let q(j) be the second derivative of j**6/24 + 49*j**5/16 - 5*j**4/48 - 245*j**3/24 + 4806*j. Suppose q(x) = 0. What is x?
-49, -1, 0, 1
Factor -836 + 36 - 35*l**2 - 408*l + 31*l**2.
-4*(l + 2)*(l + 100)
Suppose 18 - 362 = 8*d. Let h = 45 + d. Factor 7*r**h - 4*r**3 + 2*r + 9*r - 15*r + r**2.
-4*r*(r - 1)**2
Let o(c) be the second derivative of c**4/60 - 3*c**3/2 + 20*c**2 - 2252*c + 1. Suppose o(u) = 0. Calculate u.
5, 40
Let q(x) be the third derivative of -x**6/24 - 103*x**5/6 - 784*x**2. Factor q(t).
-5*t**2*(t + 206)
Let c(o) be the second derivative of 11*o**5/45 + o**4/54 - 22*o**3/27 - o**2/9 + 13*o - 322. Let c(i) = 0. What is i?
-1, -1/22, 1
Find q such that -2*q**4 - 3*q**4 + 7898*q - 260*q**3 + 9375 + 1606*q**2 - 13398*q - 5216*q**2 = 0.
-25, -3, 1
Let t(l) = -l**2 - 25*l + 57. Let s be t(-27). Let b be ((-2)/6)/(323/153 - s). Solve -9/8*g**2 - 3/8*g**3 + b*g + 3/4 + 3/8*g**4 = 0 for g.
-1, 1, 2
Suppose -2*k = k + 4*l - 4, 0 = -4*k + 5*l - 5. Let z be (1 - k) + 4 + 130/(-30). Let -z*q - 4/3*q**2 + 4/3 + 2/3*q**3 = 0. Calculate q.
-1, 1, 2
Let g = 196 - 29401/150. Let v = g + 17/50. Factor 2/3*k**3 + v*k**2 + 0 - 1/3*k**4 - 2/3*k.
-k*(k - 2)*(k - 1)*(k + 1)/3
Let y be ((-4)/(-6))/(-13*14/(-546)). Suppose -12*q**2 + 38*q**2 - 14*q**y - 235 - 16*q**2 + 75 - 56*q = 0. Calculate q.
-10, -4
Let u(n) = -n**3 - 47*n**2 - 146*n + 190. Let y(t) = 3*t**3 - 1220*t + 949 - 7*t**3 + 489*t - 236*t**2. Let a(h) = 11*u(h) - 2*y(h). Let a(g) = 0. Calculate g.
-8, 1
Solve 152*j**3 + 74*j**2 + 2670*j**4 + 8*j**5 + 28*j**2 - 2608*j**4 - 36*j = 0 for j.
-3, -2, 0, 1/4
Let 2/13*p**2 + 0 - 460/13*p = 0. What is p?
0, 230
Let b(g) = -13*g**3 - 63*g**2 + 280*g - 282. Let p(u) = 11*u**3 + 58*u**2 - 279*u + 275. Let o(x) = -5*b(x) - 6*p(x). What is j in o(j) = 0?
-40, 1, 6
Find x such that -9520*x + 3983178 - 1459281 + 2007623 + 90*x**2 - 47*x**2 - 38*x**2 = 0.
952
Let l(p) be the third derivative of p**5/330 - 65*p**4/132 + 42*p**3/11 - 18*p**2 + 18. Factor l(w).
2*(w - 63)*(w - 2)/11
Let f(b) be the first derivative of b**4/18 + 1594*b**3/27 - 1597*b**2/9 + 1598*b/9 + 4057. Find k, given that f(k) = 0.
-799, 1
Let k(l) = 5*l - 41. Let s be k(13). Let v = s + -20. Factor 43*x**4 - 33*x**4 - 7*x**3 + v*x**5 + x**5 - 13*x**3 - 40*x**2.
5*x**2*(x - 2)*(x + 2)**2
Let p(x) be the first derivative of -x**6/6 + x**5 + 9*x**4/4 - 27*x**3 + 54*x**2 - 7494. Factor p(l).
-l*(l - 3)**3*(l + 4)
Let s = -3101 + 3103. Determine n, given that 0 + 0*n**3 + 2/13*n**4 + 12/13*n - 14/13*n**s = 0.
-3, 0, 1, 2
Let w = -731 + 776. Suppose 0 = -2*o + 51 - w. Factor -2/7*s**4 - 2/7*s**2 - 4/7*s**o + 0*s + 0.
-2*s**2*(s + 1)**2/7
Let q(j) be the first derivative of -j**8/3360 - j**7/336 - j**6/180 - 145*j**3/3 - 2*j - 154. Let i(h) be the third derivative of q(h). Factor i(p).
-p**2*(p + 1)*(p + 4)/2
Suppose -288/5*c + 837/5 + 3/5*c**2 = 0. Calculate c.
3, 93
Let d be (-51)/(-9)*(-18)/3. Let f = -32 - d. Factor 17*n**2 - 2*n**f - 4 + 52*n - n**2 - 12.
2*(n + 4)*(7*n - 2)
Let c(n) = 2*n**2 + 11*n - 310. Let a be c(10). Let o(s) be the second derivative of a + 12*s + 2/3*s**3 + 1/3*s**4 - 4*s**2. Factor o(q).
4*(q - 1)*(q + 2)
Let m(q) be the third derivative of -q**6/72 + 7*q**5/12 + 25*q**4/8 + 95*q**3/3 + 20*q**2. Let z(d) be the first derivative of m(d). Solve z(t) = 0.
-1, 15
Let l(r) be the first derivative of r**6/2340 - 41*r**5/780 + 25*r**3/3 - 3*r - 150. Let k(f) be the third derivative of l(f). Let k(a) = 0. Calculate a.
0, 41
Let u(n) be the third derivative of -13*n**8/28 + 2*n**7/15 + 67*n**6/30 - n**5/5 - 14*n**4/3 - 8*n**3/3 - 2066*n**2. Determine q, given that u(q) = 0.
-1, -2/3, -2/13, 1
Factor 50/3*m**2 + 2/3*m**3 + 160/3 + 208/3*m.
2*(m + 1)*(m + 4)*(m + 20)/3
Let -1696/3*v - 4/3*v**2 + 1700/3 = 0. What is v?
-425, 1
Let i(m) be the first derivative of -2*m**3/21 - 134*m**2/7 - 38*m + 4087. Factor i(o).
-2*(o + 1)*(o + 133)/7
Let v = -4449 + 4451. Factor 1/5*m**v + 0 + 6/5*m.
m*(m + 6)/5
Suppose 2*f = 2*j + 7*f - 26, 29 = 3*j + 5*f. Let a = 29675/8902 - 5/26706. Suppose -10/3 + 5/6*c + a*c**2 - 5/6*c**j = 0. Calculate c.
-1, 1, 4
Let f be 5/(50/(-12))*(-19)/(-798)*-70. Suppose -32*p - 448 - 4/7*p**f = 0. Calculate p.
-28
Let s(k) = -29*k - 132. Let f be s(-6). What is h in 70*h + f*h - 3*h + 2450 + 31*h + 2*h**2 = 0?
-35
Let t(c) be the second derivative of c**4/90 - 17*c**3/45 + 16*c**2/15 + 28*c + 10. Factor t(s).
2*(s - 16)*(s - 1)/15
Let o be 2079/(-154)*4/(-9). Let v(s) be the second derivative of -1/90*s**o - 1/18*s**4 + 4*s**2 + 25*s + 0 - 1/12*s**5 + 10/9*s**3. Factor v(c).
-(c - 2)*(c + 2)**2*(c + 3)/3
Suppose -4*x = -5*x + y - 1, 2*x - 5*y = -11. Let f(l) = -475*l**x + 7 + 486*l**2 - 18. Let d(z) = 120*z**2 - 120. Let q(g) = -6*d(g) + 65*f(g). Factor q(b).
-5*(b - 1)*(b + 1)
Let g(l) = -l - 2. Let h(x) = -3*x**2 - 38*x - 40. Let f = -270 - -275. Let b(w) = f*g(w) - h(w). Determine j, given that b(j) = 0.
-10, -1
Let j(y) be the second derivative of y**5/12 - 25*y**4/18 + 85*y**3/18 - 20*y**2/3 - 79*y. Solve j(f) = 0 for f.
1, 8
Let -2018/5*h**2 - 108/5*h**3 - 3024*h - 2/5*h**4 - 7840 = 0. Calculate h.
-20, -7
Let j be -1*(208737/297 + (-2)/(-11)). Let m = 706 + j. Find u, given that 1 + 1/4*u - u**2 - 1/4*u**m = 0.
-4, -1, 1
Let y(v) be the second derivative of -v**6/1080 + v**5/720 + v**4/144 + 5*v**3/6 - 37*v. Let p(f) be the second derivative of y(f). What is s in p(s) = 0?
-1/2, 1
Determine a so that -12/5*a**3 - 2*a - 29/5*a**2 + 0 = 0.
-2, -5/12, 0
Solve 84/11*o - 784/11 - 2/11*o**2 = 0 for o.
14, 28
Suppose 4*b - 3*b = -q + 8, -q = -3*b - 4. Let m**2 + 11*m - q*m + 2*m**2 - m**2 = 0. What is m?
-2, 0
Let c = 19513 - 19493. Let i(t) be the second derivative of 0*t**2 - 1/220*t**5 - 1/22*t**3 + 0 + 1/33*t**4 + c*t. Factor i(r).
-r*(r - 3)*(r - 1)/11
Factor -6/5*v**3 - 2/5*v**5 + 0*v**2 + 8/5*v**4 + 0*v + 0.
-2*v**3*(v - 3)*(v - 1)/5
Let h(f) be the second derivative of 25/6*f**3 + 1/120*f**6 + 1/2*f**2 - 3/20*f**5 + 0 - 12*f + 5/8*f**4. Let t(o) be the first derivative of h(o). Factor t(p).
(p - 5)**2*(p + 1)
Let c be (-190)/(-60) - (-4 + 8 - 1). Let q = -109 + 109. Find j such that 0 - 1/6*j**3 + c*j**5 - 1/2*j**4 + 1/2*j**2 + q*j = 0.
-1, 0, 1, 3
Let u(x) = 4*x + 2. Suppose 28 + 60 = 8*f. Let s be u(f). Factor 3*l**2 + 50 - 5*l**2 - s - 2*l.
-2*(l - 1)*(l + 2)
Let u be (-6)/(-26) - 31578/(-50414). Factor 9/7 - 3/7*q**2 - u*q.
-3*(q - 1)*(q + 3)/7
Let t = -1269 - -1281. Suppose -3*j + t*s = 8*s, s = 0. Factor -4/13*q**3 + 0 - 8/13*q**5 + 0*q**2 + j*q + 18/13*q**4.
-2*q**3*(q - 2)*(4*q - 1)/13
Suppose 27*u + 36*u = 43*u. Let y(d) be the first derivative of u*d + 4/3*d**3 + 13 + 2*d**2. Determine h, given that y(h) = 0.
-1, 0
Let g(k) = 20*k**3 + 140*k**2 - 167*k + 94. Let a(l) = -220*l**3 - 1540*l**2 + 1835*l - 1025. Let r(y) = -6*a(y) - 65*g(y). Factor r(h).
5*(h + 8)*(2*h - 1)**2
Let o be 430877/6431 - 131/2. Find m, given that -3*m**3 + 2*m**4 - 1/2*m**2 - o - 1/4*m**5 + 13/4*m = 0.
-1, 1, 6
Let s be (161/(-112))/((-22)/(-88)) + 6. Let n(u) be the first derivative of s*u**4 + 1/9*u**3 + 0*u - 1/2*u**2 - 1/15*u**5 + 1. Factor n(v).
-v*(v - 3)*(v - 1)*(v + 1)/3
Suppose -q + 2*x - 3 = 0, 3 = -q - 2*x + 12. Factor -2*c**3 - 10*c**2 + 3*c**4 - 9*c - 2*c**q - c**4 + 21*c.
2*c*(c - 3)*(c - 1)*(c + 2)
Suppose -818*o = -816*o - 12. Let a(p) be the third derivative of 0*p**o + 1/40*p**5 - 15*p**2 + 0*p + 0*p**3 - 1/24*p**4 + 0 - 1/420*p**7. Solve a(n) = 0.
-2, 0, 1
Solve 700 - 7*b**2 + 71*b + 7*b**2 + 89*b - 6*b**2 + 10*b**2 = 0 for b.
-35, -5
Let t = 1991 + -1991. Let d(n) be the first derivative of 0*n**3 - 1/2*n**2 + t*n + 31 + 1/4*n**4. Let d(m) = 0. What is m?
-1, 0, 1
Let l = -89 + 185. Let 6*p + l - 12*p**2 + 0*p**3 + 98*p - 4*p**3 - 13*p**3 - 3*p**3 = 0. What is p?
-2, -1, 12/5
Let p(z) be the first derivative of -8*z**7/105 + 13*z**6/30 - z**5/5 - z**2/2 - 3*z - 27. Let o(x) be the second derivative of p(x). Factor o(t).
-4*t**2*(t - 3)*(4*t - 1)
Let x = -48721 + 34