so that 6*f**3 - 4/3*f**2 + 0*f - 8/3*f**5 - 2*f**4 + 0 = 0.
-2, 0, 1/4, 1
Let i = -1007/3 - -52319/156. Let w = i + 239/468. Suppose 0*u**2 + 4/9*u**3 + 0*u**4 - 2/9*u**5 - w*u + 0 = 0. Calculate u.
-1, 0, 1
Solve 409/3*y - 62 - 87*y**2 + 13*y**3 - 1/3*y**4 = 0.
1, 6, 31
Factor -1235 + 296*x - 4*x**2 - 1420 + 779.
-4*(x - 67)*(x - 7)
Let c(g) be the second derivative of g**5/300 + 7*g**4/10 + 294*g**3/5 + 74*g**2 + 46*g. Let f(m) be the first derivative of c(m). Suppose f(a) = 0. What is a?
-42
Suppose -2*f + 3 = 4*q + 13, -2*q - 3*f = 11. Let l be 1 - (97/(-1) + q). Factor -t**2 + 4 + l*t - 99*t.
-(t - 2)*(t + 2)
What is w in -1/3*w**4 - 4/3*w + 0*w**3 - 4 + 3*w**2 = 0?
-3, -1, 2
Find c such that -1/7*c**3 + 0 + 37/7*c**2 + 38/7*c = 0.
-1, 0, 38
Suppose -10834*v + 11474*v - 1280 = 0. Factor -10*q + 34/3*q**v - 4/3.
2*(q - 1)*(17*q + 2)/3
Let c(q) = -q**4 + q**3 - 2*q - 1. Let p(u) = 8*u**3 + 38*u**4 - 3*u - 3*u - 27*u**4 - 2*u**5 - 3 + 0*u + 11*u**3. Let i(k) = 3*c(k) - p(k). Factor i(y).
2*y**3*(y - 8)*(y + 1)
Let r(l) = l**2 - 5*l - 16. Let c be r(-4). Let a be 3 + -1 - (c/(-1) - -1). Factor 129 + 12*y**5 - 15*y**2 + 16*y - 113 - 44*y**3 + 4*y**4 - a*y**2.
4*(y - 2)*(y + 1)**3*(3*y - 2)
Let u(k) be the first derivative of -k + 1/48*k**6 - 9/40*k**5 + 15/8*k**2 - 43/24*k**3 + 29/32*k**4 - 47. Factor u(w).
(w - 4)*(w - 2)*(w - 1)**3/8
Let s be ((-1)/2)/(2/36*-3). Let d**s + 3*d**3 - d**3 + 2*d**3 - 5*d = 0. What is d?
-1, 0, 1
Let d = -526 + 493. Let k(i) = -2*i - 64. Let o be k(d). Factor 6*y**3 - 8/3 - 40/3*y - 14/3*y**o.
2*(y - 2)*(y + 1)*(9*y + 2)/3
Let d(n) be the third derivative of -n**6/150 + 8*n**5/75 + 11*n**4/30 - 12*n**3/5 - 1321*n**2. Factor d(r).
-4*(r - 9)*(r - 1)*(r + 2)/5
Let a(l) be the third derivative of -l**5/12 + 565*l**4/2 - 383070*l**3 - 770*l**2. Factor a(c).
-5*(c - 678)**2
Let b(f) = 336*f**2 - 27*f - 4. Let h be b(1). Suppose 20*r**4 - 375/2*r - 180*r**3 + 15/2*r**5 + h*r**2 + 35 = 0. What is r?
-7, 1/3, 1, 2
Let b(h) be the first derivative of 0*h**2 + 0*h**3 + 2/15*h**5 - 31*h + 22 + 2/9*h**4 + 1/45*h**6. Let v(s) be the first derivative of b(s). Factor v(l).
2*l**2*(l + 2)**2/3
Find w such that -12/5 - 12/5*w**4 - 4*w**3 + 2*w + 2*w**5 + 24/5*w**2 = 0.
-1, 1, 6/5
Let w(u) be the first derivative of u**6/3 - 2*u**5/3 - 37*u**4/3 + 16*u**3 + 416*u**2/3 + 256*u/3 - 2339. Let w(c) = 0. Calculate c.
-4, -2, -1/3, 4
Let l(a) be the first derivative of 2*a**3/3 + 20*a**2 + 192*a + 1278. Factor l(f).
2*(f + 8)*(f + 12)
Let t(k) = k**2 + 30. Let s be t(19). Let 5*i**2 + 4*i**2 - s*i**4 + 388*i**4 + 6 + 3*i**3 - 15*i = 0. What is i?
-2, 1
Let d(h) = 145*h**3 - 1440*h**2 - 2930*h - 1565. Let j(r) = -8*r**3 + 80*r**2 + 163*r + 87. Let v(y) = 3*d(y) + 55*j(y). Factor v(a).
-5*(a - 18)*(a + 1)**2
Let q = 3380 + -3378. Let z(y) be the first derivative of -8 + 1/3*y**3 - 3*y - y**q. What is i in z(i) = 0?
-1, 3
Let v(c) be the third derivative of -1/600*c**6 - 8*c**2 + 0 - 1/100*c**5 + 0*c - 1/40*c**4 + 1/6*c**3. Let h(x) be the first derivative of v(x). Factor h(l).
-3*(l + 1)**2/5
Let n(c) be the second derivative of -3*c**8/448 - c**7/12 - 25*c**6/144 - c**5/6 - 19*c**4/12 + 36*c. Let k(j) be the third derivative of n(j). Factor k(m).
-5*(m + 4)*(3*m + 1)**2
Let y(n) be the third derivative of 0*n + 1/40*n**6 - 1/8*n**4 - 31 - 2*n**2 - 1/10*n**5 + n**3. Factor y(s).
3*(s - 2)*(s - 1)*(s + 1)
Let d(k) = -25*k**4 - 40*k**3 - 42*k**2 - 12*k + 7. Let j(w) = 3*w**4 + w**3 - 2*w**2 - 1. Let b(i) = -d(i) - 7*j(i). Factor b(x).
x*(x + 2)*(x + 6)*(4*x + 1)
Let b(m) = -16*m**3 - 443*m**2 - 7130*m - 36567. Let i(w) = -69*w**3 - 1920*w**2 - 30897*w - 158454. Let u(s) = 30*b(s) - 7*i(s). Determine j so that u(j) = 0.
-24, -13
Let z(g) be the first derivative of 15/4*g + 1/12*g**3 - 2*g**2 + 56. Factor z(p).
(p - 15)*(p - 1)/4
Let t = 148 + -146. Determine f, given that -15*f**3 + f**4 + 4*f**4 + 55*f**t - 20*f**3 - 25*f = 0.
0, 1, 5
Suppose 0 = 10*a + 4*a - 42. Factor -10 + 38*l - 17*l + 3*l**a + 10 + 9 + 15*l**2.
3*(l + 1)**2*(l + 3)
Let g(a) be the third derivative of -a**8/840 + a**7/1050 + a**6/300 - a**5/300 + 964*a**2. Suppose g(s) = 0. What is s?
-1, 0, 1/2, 1
Let i(b) be the second derivative of 0*b**2 + 1/42*b**7 - 32*b + 11/20*b**5 + 1 + 1/2*b**4 + 0*b**3 + 1/5*b**6. Find k such that i(k) = 0.
-3, -2, -1, 0
Let v(l) be the first derivative of -4*l**3/3 + 301*l**2 - 300*l + 2703. Find o such that v(o) = 0.
1/2, 150
Solve 416*r**2 + 172*r**3 + 25*r + 10*r**4 - 226*r**2 + 95*r - 26*r**2 + 470*r**2 = 0.
-12, -5, -1/5, 0
Let j(r) be the second derivative of -r**5 - 56 - 2/21*r**7 + 0*r**2 - 8/15*r**6 + 2*r - 2/3*r**4 + 0*r**3. Factor j(o).
-4*o**2*(o + 1)**2*(o + 2)
Let j(p) be the third derivative of p**8/2520 - 6*p**7/175 - 28*p**6/225 - p**5/225 + 37*p**4/60 + 56*p**3/45 - 1703*p**2. Solve j(i) = 0 for i.
-1, 1, 56
What is u in -202 - 1/2*u**2 + 105/2*u = 0?
4, 101
Let s(z) = z**2 + z - 2. Let c(d) = 4*d**2 - 89*d - 2219. Suppose 9*g - 6*g + 18 = -3*b, -4*g - 29 = 5*b. Let m(r) = g*c(r) + 5*s(r). Let m(q) = 0. Calculate q.
-47
Let t(o) be the first derivative of o**6/480 + o**5/40 + o**4/8 - o**3/3 - 36. Let w(n) be the third derivative of t(n). Factor w(x).
3*(x + 2)**2/4
Solve 2/3*s**4 - 34/3*s**3 - 54*s**2 + 0 - 42*s = 0.
-3, -1, 0, 21
Let o = 92/1407 - -2354/7035. Factor -8/5 + 8/5*q**2 + o*q**3 - 2/5*q.
2*(q - 1)*(q + 1)*(q + 4)/5
Let 2280*q - 1288*q**2 + 5*q**4 - 1434*q**2 + 2270*q**3 + 407*q**2 - 1402*q**2 - 838*q**2 = 0. What is q?
-456, 0, 1
Factor -7*f**3 - 73/3*f**2 - 34/3 - 29*f - 1/3*f**4.
-(f + 1)**2*(f + 2)*(f + 17)/3
Factor -18501 - 18836 + 543*d + 37881 - d**2.
-(d - 544)*(d + 1)
Let a(j) = 15*j**2 - 9475*j + 30. Let n(m) = 2*m**2 - 3*m + 3. Let u(c) = a(c) - 10*n(c). Solve u(h) = 0.
-1889, 0
Factor -110 - 336*v - 431/2*v**2 + 21/2*v**3.
(v - 22)*(v + 1)*(21*v + 10)/2
Suppose 0 = -73*r + 607 - 242. Let m(t) be the first derivative of -2 - 15*t**2 + 48*t**r - 145/2*t**4 - 12*t**6 + 50*t**3 + 2*t. Suppose m(z) = 0. Calculate z.
1/6, 1
Suppose 209 = 172*y - 307. Factor -200/3 - 2/3*i**4 + 440/3*i - 94*i**2 + 44/3*i**y.
-2*(i - 10)**2*(i - 1)**2/3
Solve -3*k**4 + 9*k**3 - 4*k**3 + 0*k**4 - 9*k**3 + 108*k**2 + k**3 + 108*k = 0.
-6, -1, 0, 6
Let w(p) be the third derivative of -5*p**8/336 - p**7/42 + 41*p**6/12 - 20*p**5/3 + p**2 + 4238. Determine l, given that w(l) = 0.
-10, 0, 1, 8
Let h(k) = 2*k**4 - k**3 + k - 1. Let a(w) = -25*w**4 - 125*w**3 - 85*w**2 + 9*w - 3. Let i(u) = -a(u) + 3*h(u). Determine v so that i(v) = 0.
-3, -1, 0, 2/31
Suppose -499 = 3*w + 3*o - 142, -483 = 4*w - 3*o. Let a be 7/((-126)/w) + -6. Solve -1/3*s**4 - 3*s**2 - 5/3*s**3 - 7/3*s - a = 0 for s.
-2, -1
Find x, given that 95365*x + x**5 + 379*x**4 - 24677*x + 80255*x**2 + 36474*x**3 + 26529*x**2 = 0.
-188, -2, -1, 0
Let r(h) be the second derivative of -h**7/42 + 51*h**6/5 - 12007*h**5/10 + 23179*h**4/3 - 38203*h**3/2 + 22801*h**2 - 10497*h. Find g such that r(g) = 0.
1, 2, 151
Let r(v) be the third derivative of -v**7/420 - 61*v**6/240 - 69*v**5/10 + 208*v**4/3 + 1024*v**3/3 - 15*v**2 + 33*v. Solve r(u) = 0.
-32, -1, 4
Factor 5/3 + q**2 + 3*q - 1/3*q**3.
-(q - 5)*(q + 1)**2/3
Suppose 68*c - 171*c + 1176 = 93*c. Factor 2/3*t**2 + 4*t + c.
2*(t + 3)**2/3
Let u be 1/18 - (-33170)/5580. Let h(n) be the first derivative of 10/9*n**3 + 1/2*n**4 - 37 + 2/3*n**2 - 1/9*n**u + 0*n - 2/15*n**5. What is x in h(x) = 0?
-1, 0, 2
Factor -2/3*u - 1/9*u**2 - 1.
-(u + 3)**2/9
Let j(g) = 7*g + 56. Let k be j(-7). Suppose -l = -4*t + k, 3*t + 5*l - 12 = -1. Find f, given that -2*f + 36*f**2 - 64*f**2 + 29*f**t - 8 = 0.
-2, 4
Let i(w) be the third derivative of w**5/105 - 87*w**4/7 + 45414*w**3/7 - w**2 + 706*w. Find j, given that i(j) = 0.
261
Let j(s) be the second derivative of s**5/4 - 125*s**4/4 - 190*s**3/3 + 2*s + 263. Suppose j(k) = 0. Calculate k.
-1, 0, 76
Let v(p) be the first derivative of p**3/12 + 119*p**2/8 + 87*p - 6587. Factor v(q).
(q + 3)*(q + 116)/4
Let t(m) = m**3 + 441*m**2 - 1331*m + 1. Let z be t(3). Solve -10/9*c**3 + 16/9*c**2 + 8/3*c + 0 - 2/9*c**z = 0.
-6, -1, 0, 2
Solve -105*k**2 - 925*k**5 + 29*k**4 + 461*k**5 + 45*k**3 + 467*k**5 - 84 - 208*k = 0 for k.
-7, -3, -1, -2/3, 2
Let a be 22/(-11) - (-2 - 11). Suppose 3*l**3 - 2 + 