(-11). Let v = 283 + x. Find g such that 64/7 - 2/7*g**3 + 20/7*g**v - 64/7*g = 0.
2, 4
Let r be (-62)/(-341) + (-42)/(-11). Suppose 6*i + r*i - 30 = 0. Factor 0 + 1/3*z + 0*z**i - z**2 + 4/3*z**4.
z*(z + 1)*(2*z - 1)**2/3
Let l(o) be the third derivative of 7*o**5/150 + 9*o**4/10 - 16*o**3/15 + 150*o**2. Solve l(i) = 0.
-8, 2/7
Let p = 214 + -211. Suppose p*q - 4*m = -0*q - 1, 0 = 5*q - 3*m - 2. Find x, given that -17/4*x**2 - q - 4*x - 5/4*x**3 = 0.
-2, -1, -2/5
Let a be ((-381)/(-30) + -11 + -2)/(3/(-5)). Find h, given that -1/2*h**2 + h + 0 - a*h**3 = 0.
-2, 0, 1
Let h(z) be the third derivative of z**5/120 - 13*z**4/8 + 507*z**3/4 - 3*z**2 - 603. Suppose h(p) = 0. Calculate p.
39
Let w be (-132335)/(-398) - (1 + 0)*-1. Let a = 344 - w. Factor 111/2*x - 15 - a*x**2.
-3*(x - 5)*(7*x - 2)/2
Let v(r) be the third derivative of -r**7/1155 - r**6/165 + 13*r**5/330 + r**4/33 - 4*r**3/11 - 3287*r**2. What is m in v(m) = 0?
-6, -1, 1, 2
Let i(q) be the second derivative of q**4 - 3869*q**3/2 + 2901*q**2/2 - 16*q + 62. Factor i(l).
3*(l - 967)*(4*l - 1)
Determine x so that 1/2*x**4 + 325/2 - 2*x**3 - 51*x**2 - 110*x = 0.
-5, 1, 13
Let t(o) be the third derivative of -o**7/3360 + o**6/1440 + o**5/480 - o**4/96 - 4*o**3/3 - o**2 - 5. Let i(n) be the first derivative of t(n). Factor i(f).
-(f - 1)**2*(f + 1)/4
Find z, given that 0*z**2 + 42*z**2 - 30*z**2 - 628*z**3 - 21 + 1277 - 4*z**4 + 1892*z = 0.
-157, -1, 2
Let u(g) = 5*g**2 - 11*g - 27. Let q be u(-2). Solve 21*c**4 + 33*c**3 + 3*c**2 + 12*c**2 - 12*c**5 + q*c**5 = 0 for c.
-5, -1, 0
Factor -2/15*x**2 + 182/15*x - 12.
-2*(x - 90)*(x - 1)/15
Find q, given that -24832*q**3 + 25420*q**3 + q**4 + 3*q**4 - 1188*q**2 + 383*q + 213*q = 0.
-149, 0, 1
Let o(i) = i**3 - 6*i**2 - 3*i + 14. Let r be o(5). Let t be 196/637*r/(-12). Determine p so that 1/6*p + 0 - 2/3*p**4 - t*p**2 + 1/6*p**5 + p**3 = 0.
0, 1
Let d(b) be the first derivative of -5*b**6/6 - 78*b**5 - 1995*b**4 - 14440*b**3/3 + 298. Find a such that d(a) = 0.
-38, -2, 0
Let a(q) = 6*q - 241. Let f be a(53). Let b be 168/f - (4 - 2). Find j such that -6/11*j - b + 8/11*j**2 = 0.
-1/4, 1
Let p = -2/247885 + 89239/49577. Solve -3/5*d**4 + 0*d**3 + p*d**2 + 0 - 6/5*d = 0.
-2, 0, 1
Let v be ((-195)/(-50))/13*(-1440)/(-216). Factor -7/8 - 45/2*w**v + 31/4*w + 81/4*w**3 + 27/8*w**4.
(w + 7)*(3*w - 1)**3/8
Let d(b) = -b**2 + 3. Let z(j) = -22*j**4 + 48*j**3 - 16*j**2 + 24. Let f(c) = 8*d(c) - z(c). Factor f(p).
2*p**2*(p - 2)*(11*p - 2)
Let p(l) be the second derivative of -l**7/630 - l**6/45 - 2*l**5/15 - 4*l**4/9 + l**3/2 - 25*l. Let w(t) be the second derivative of p(t). Factor w(y).
-4*(y + 2)**3/3
Factor 4/5*x**2 + 0 - 24*x.
4*x*(x - 30)/5
Let s(n) be the third derivative of n**5/15 + 343*n**4/8 + 257*n**3/6 - 12*n**2 - 3*n - 86. Factor s(b).
(b + 257)*(4*b + 1)
Factor 2/9*j**3 - 12 - 6*j + 0*j**2.
2*(j - 6)*(j + 3)**2/9
Let o(z) be the third derivative of 13/108*z**4 - 4/135*z**5 + 0 + 0*z - 32*z**2 + 1/540*z**6 - 2/9*z**3. What is b in o(b) = 0?
1, 6
Let s(l) be the first derivative of -44/17*l - 13/17*l**2 - 49 - 2/51*l**3. Let s(f) = 0. What is f?
-11, -2
Let b(k) = k**3. Let d(g) = 4*g**3 + 12*g**2 + 40*g. Let z be (-10 - -4) + 8 - (-1)/(-1). Let i(p) = z*d(p) - 8*b(p). Find q, given that i(q) = 0.
-2, 0, 5
Let x(z) be the second derivative of 3585*z**4/4 - 10745*z**3/6 - 5*z**2 - 52*z + 5. Determine o, given that x(o) = 0.
-2/2151, 1
Let d(g) = 29*g - 145. Let n be d(5). Suppose n = 5*v - 34 + 14. Solve 8/9*p + 0*p**2 - 2/9*p**v - 2/3*p**3 + 0 = 0 for p.
-2, 0, 1
Let l be (3/(-6) + 0 + (-1)/(-12))*(-1785)/595. Factor 0 + 1/8*k**3 + 0*k - l*k**2.
k**2*(k - 10)/8
Let s(u) = 2*u**2 + 5*u - 8. Let c(y) = -3*y**3 - 1373*y**2 - 155969*y - 154555. Let d(m) = c(m) + 4*s(m). Factor d(i).
-3*(i + 1)*(i + 227)**2
Suppose 582*x**2 - 26*x + 576*x**2 + 2*x**3 + 2*x - 1150*x**2 = 0. What is x?
-6, 0, 2
Determine v, given that 48/7 + 20/7*v + 2/7*v**3 - 26/7*v**2 = 0.
-1, 2, 12
Let x(l) be the first derivative of -1/2*l**2 - 4/3*l + 225 - 1/18*l**3. Find t, given that x(t) = 0.
-4, -2
Let h(w) be the first derivative of -2*w**6/9 - 296*w**5/15 - 1510*w**4/3 - 21008*w**3/9 - 12530*w**2/3 - 9800*w/3 + 6779. What is q in h(q) = 0?
-35, -2, -1
Factor 85/2*d**2 - 42*d + 0 - 1/2*d**3.
-d*(d - 84)*(d - 1)/2
Let i(m) be the third derivative of m**6/360 - 163*m**5/180 + 7031*m**4/72 - 31205*m**3/18 - 2847*m**2. Solve i(l) = 0 for l.
5, 79
Suppose -303407 = -7*n - 6*n. Suppose -1716 + n = 7*r. Factor 3*h**4 - 6*h + 3086*h**2 + 2*h**3 - r*h**2 + 4*h**3.
3*h*(h - 1)*(h + 1)*(h + 2)
Let s(g) = -6*g**2 + g - 4. Let d(v) be the third derivative of -13*v**5/60 + v**4/24 - 3*v**3/2 - 20*v**2. Let a(f) = -4*d(f) + 9*s(f). Factor a(t).
-t*(2*t - 5)
Let y(d) be the first derivative of d**3/12 - 27*d**2/4 + 729*d/4 + 3542. Factor y(k).
(k - 27)**2/4
Suppose 5*f = 5 + 5. Let u be -6 + (23 + -22)*1*8. Factor n**u + 2*n**2 - 3*n**2 + n**f + n.
n*(n + 1)
Let o(l) be the third derivative of -l**5/10 - 49*l**4/16 - 3*l**3 + 1976*l**2. Factor o(h).
-3*(h + 12)*(4*h + 1)/2
Find d such that 454*d - 206116 - 1/4*d**2 = 0.
908
Factor 304/3*o - 52*o**2 + 0 + 2/3*o**3.
2*o*(o - 76)*(o - 2)/3
Let s(w) be the second derivative of -w**7/21 + 26*w**6/15 - 57*w**5/5 + 98*w**4/3 - 149*w**3/3 + 42*w**2 + 30*w + 5. Factor s(n).
-2*(n - 21)*(n - 2)*(n - 1)**3
Factor 80 - 13 + 5*m**2 + 9 + 29 - 110*m.
5*(m - 21)*(m - 1)
Let l(f) be the first derivative of -107 + 4/21*f**2 - 1/6*f**4 + 0*f - 8/21*f**3. Find s, given that l(s) = 0.
-2, 0, 2/7
Let f(w) be the second derivative of -w**7/504 + 7*w**6/48 + 23*w**5/12 + 23*w**4/2 - 90*w. Let o(q) be the third derivative of f(q). Factor o(n).
-5*(n - 23)*(n + 2)
Let q(c) be the second derivative of c**5/20 - 79*c**4/12 - 122*c**3/3 - 82*c**2 + 12*c - 218. Factor q(j).
(j - 82)*(j + 1)*(j + 2)
Let d = 892 - 891. Suppose 4 = 2*c + 4*x, 0 = 3*c - 6*c + x - d. Factor -8/3*t**2 + 2/3*t**3 + c + 2*t.
2*t*(t - 3)*(t - 1)/3
Let l(a) = 9*a**3 + 60*a**2 + 332*a + 336. Let h(u) = 7*u**3 + 67*u**2 + 334*u + 336. Let z(w) = 4*h(w) - 3*l(w). Factor z(q).
(q + 2)**2*(q + 84)
Let 9/4*r - 1/4*r**2 + 13 = 0. What is r?
-4, 13
Suppose 188*l + 12 - 576 = 0. Factor 34/9*k**2 + 2/9*k**4 + 34/9*k + 14/9*k**l + 4/3.
2*(k + 1)**2*(k + 2)*(k + 3)/9
Let i(k) be the second derivative of -k**7/14 + 13*k**6/5 + 87*k**5/20 - 27*k**4/2 - 2138*k. Determine u so that i(u) = 0.
-2, 0, 1, 27
Let o(t) be the first derivative of 2*t**5/35 + 99*t**4/14 + 2294*t**3/7 + 6727*t**2 + 357492*t/7 + 1219. Factor o(f).
2*(f + 6)*(f + 31)**3/7
Let h(j) be the first derivative of 5*j**5 + 2635*j**4/4 + 27375*j**3 + 639905*j**2/2 + 242990*j + 6759. Suppose h(k) = 0. What is k?
-47, -11, -2/5
Suppose -32 = -y - 20. Suppose 3*c - 3*i = 0, -11*i = 2*c - y*i - 3. Determine l so that 3/2*l**c - 3/2 - 3/2*l + 3/2*l**2 = 0.
-1, 1
Let v(y) be the third derivative of -5184*y**5/5 - 12*y**4 - y**3/18 - y**2 + 417*y - 2. Find t such that v(t) = 0.
-1/432
Let n(y) be the first derivative of y**3/6 + 190*y**2 + 72200*y + 2334. Factor n(a).
(a + 380)**2/2
Let c be (-56)/3920*-245*(11/(-14) + 1). Let p be (-4 + 0)*(-2)/4. Factor 27/4*g**p + 81/4*g + c*g**3 + 81/4.
3*(g + 3)**3/4
Determine z so that -4*z**2 + 468*z + 1551 - 2187 - 4772 = 0.
13, 104
Factor 3495*t - 3*t**2 - 4 - 3612*t + 4.
-3*t*(t + 39)
Let f(n) be the second derivative of 3*n**5/100 - 7473*n**4/20 + 18615243*n**3/10 - 46370570313*n**2/10 + 10644*n. Solve f(g) = 0.
2491
Let y(c) be the second derivative of 2*c**6/15 - 78*c**5/5 + 440*c**4/3 - 384*c**3 + 3607*c + 1. Determine h so that y(h) = 0.
0, 2, 4, 72
Let j(q) be the second derivative of -3/100*q**5 - 12*q**2 + 19/20*q**4 + 1 + 11/5*q**3 + 118*q. Factor j(m).
-3*(m - 20)*(m - 1)*(m + 2)/5
Let j(w) be the second derivative of -9 + 1024/9*w**2 - 64/27*w**3 + 3*w + 1/54*w**4. Factor j(s).
2*(s - 32)**2/9
Let s = -300689/4 - -75173. Solve -3/2*y**2 + s - 21/8*y = 0 for y.
-2, 1/4
Let s(z) be the second derivative of -3/8*z**2 - 7/24*z**4 + 1/168*z**7 + 43 + 1/120*z**6 - 11/24*z**3 - 3/40*z**5 - z. Determine t, given that s(t) = 0.
-1, 3
Let s be (24/(-20) + 0)*-5. Find h, given that 864 - 49*h**2 - s*h**3 + 3*h**3 + 288*h + 6*h**3 - 17*h**2 = 0.
-2, 12
Let d(v) = -2*v**4 - 2*v**3 - 8*v**2 + 16*v + 16.