**4/4 - 237*y**3 - 1689*y**2/2 - 888*y - 2011. Factor v(t).
3*(t - 8)*(t + 1)**2*(t + 37)
Let n(b) be the third derivative of -b**6/660 + 11*b**5/10 - 241*b**4/44 + 361*b**3/33 + b**2 + 4862. Factor n(f).
-2*(f - 361)*(f - 1)**2/11
Let a = -31 - -34. Suppose 3*j = 5*p + 19, 0 = -p + a*p - 2. Factor -2*y**2 + 9*y**2 + 6*y - j*y**2 - 8.
-(y - 4)*(y - 2)
Let t = -256791/10 + 128398/5. Factor -1/2*v**3 - 3/2*v**2 + t*v**4 + 1 + 1/2*v.
(v - 2)*(v - 1)*(v + 1)**2/2
Let q(y) be the second derivative of 34 + 9/2*y**3 + 0*y**2 + 1/4*y**4 + 2*y. Solve q(h) = 0.
-9, 0
Factor -2/7*f**3 - 20/7 + 2*f + 8/7*f**2.
-2*(f - 5)*(f - 1)*(f + 2)/7
Let u(o) = 11*o**2 + 19*o - 16. Let p(v) = 6*v**2 + 10*v - 8. Let b = -178 + 185. Let j(y) = b*p(y) - 4*u(y). Factor j(n).
-2*(n - 1)*(n + 4)
Let k(d) be the first derivative of d**6/18 + 8*d**5 + 1136*d**4/3 + 4816*d**3 - 67032*d**2 + 197568*d + 1002. Factor k(v).
(v - 4)*(v - 2)*(v + 42)**3/3
Factor -5116/7*w + 2784/7 + 22/7*w**2.
2*(w - 232)*(11*w - 6)/7
Suppose 3*x**2 + 816 + 4862*x + x**2 - 5682*x = 0. What is x?
1, 204
Suppose -1 = 4*z - 4*m - 21, 0 = 5*z - 3*m - 25. Suppose -6*j = -3*j + z*u - 26, -4*j - 2*u = -16. Factor 107 + 2*y**3 + 8*y + 8*y**j - 107.
2*y*(y + 2)**2
Suppose -52*a = 775 + 5. Let p be -1 + 9 + a/3. Factor -1/4*l**p + 1/2 - 5/4*l + l**2.
-(l - 2)*(l - 1)**2/4
Factor -1082458 + 2*g**2 + 4*g**2 - 3972*g - 232274 - 9*g**2.
-3*(g + 662)**2
Let i(b) be the first derivative of 18*b - b**4 + 2*b**5 - 1/3*b**6 - 28/3*b**3 - 15 + 3*b**2. Let i(x) = 0. Calculate x.
-1, 1, 3
Factor -258/5 - 127/5*z + 1/5*z**2.
(z - 129)*(z + 2)/5
Let i(s) = 8*s**3 - 2*s**2 - 22*s. Let g(o) = 7*o**2 + 12*o - 14*o**2 - o**3 + 6*o**2 - 10*o. Let z(h) = 6*g(h) + i(h). What is k in z(k) = 0?
-1, 0, 5
Let s(d) = 22*d**4 + 5*d**3 - 141*d**2 + 42*d + 179. Let l(c) = -10*c**4 - 4*c**3 + 70*c**2 - 20*c - 90. Let p(v) = -13*l(v) - 6*s(v). Let p(i) = 0. What is i?
-1, 2, 4, 6
Let o(g) = 2*g**2 + 6*g + 31. Let k be o(-5). Determine d, given that -29 - 8*d**3 + 88*d + k*d**2 - 17*d**2 - 1 + 6 = 0.
-2, 1/4, 6
Let l = -853838 - -4269192/5. Solve 153/5*h**2 - 108/5 - l*h**5 - 9/5*h**4 + 23/5*h**3 + 27*h = 0.
-3, 1/2, 4
Suppose -5*m - 3*b + 8 = -4*m, 4*b = 4. Determine j, given that -15*j**3 - 17*j**5 + 6*j**4 - 3*j**4 + 23*j**m + 9*j - 3*j**2 = 0.
-3/2, -1, 0, 1
Let f = 215422/161565 - 2/161565. Solve -29/3*l**4 + f*l - 7*l**5 - 4/3 + 17/3*l**3 + 11*l**2 = 0.
-1, -2/3, 2/7, 1
Let v(c) = -6*c**4 - 519*c**3 - 22188*c**2 - 21678*c - 6. Let r(s) = s**4 + 2*s**3 + s**2 + s + 2. Let l(i) = -3*r(i) - v(i). Let l(z) = 0. What is z?
-85, -1, 0
Let t be (2/7 - 0)/(36 + 3012/(-84)). Determine u, given that 21/2*u**3 + 7/2*u - 5/4*u**4 + 0 - 51/4*u**t = 0.
0, 2/5, 1, 7
Let o(a) = -5*a**4 + 5*a**3 - 4*a**2 - 6*a + 4. Let p(x) = 2*x**4 - x**3 + 2*x**2 + x - 2. Let b(w) = o(w) + 2*p(w). Find v, given that b(v) = 0.
-1, 0, 2
Suppose -4 = -5*l + 2*z, -l - 4*z = -18 + 4. Find c, given that 50*c**5 - 16*c + 0*c - 6*c**l - 66*c**2 - 52*c**3 + 90*c**4 = 0.
-2, -2/5, 0, 1
Let u(m) be the second derivative of m**5/20 - 11*m**4/6 + 161*m**3/6 - 196*m**2 - 73*m. Factor u(s).
(s - 8)*(s - 7)**2
Let q(c) be the third derivative of -c**7/42 + 5*c**6/24 - c**5/6 - 5*c**4/3 + 2*c**2 + 3594. Factor q(o).
-5*o*(o - 4)*(o - 2)*(o + 1)
Let i(g) be the second derivative of -g**4/4 - 14*g**3/3 - 7*g**2/2 + 6*g - 7. Let p be i(-9). What is a in 9/5*a - 3/5*a**p - 6/5 = 0?
1, 2
Let y = -82 - -113. Suppose -y = -5*s - 16. Let -1/3*h**4 - 2/3*h**s + 0*h + 0 - 1/3*h**2 = 0. Calculate h.
-1, 0
Suppose -35*d = -29*d - 30. Factor -19*w + 10*w**2 - 273*w**5 - 6*w - 15 + 30*w**3 + 268*w**5 + d*w**4.
-5*(w - 3)*(w - 1)*(w + 1)**3
Let v(g) be the third derivative of -g**7/2520 + g**6/180 + g**5/24 - 19*g**4/24 + 5*g**2 + 2. Let z(p) be the second derivative of v(p). Factor z(q).
-(q - 5)*(q + 1)
Let t(m) be the second derivative of 2*m**7/21 + 8*m**6/15 - 28*m**5/5 - 160*m**4/3 - 128*m**3 + 617*m. What is g in t(g) = 0?
-4, -2, 0, 6
Let l(g) be the first derivative of g**6/1440 - g**5/48 + 3*g**4/32 + g**3 - 3*g + 5. Let w(z) be the third derivative of l(z). Find f such that w(f) = 0.
1, 9
Let s = -1373 - -1383. Let y(v) be the second derivative of -s*v + 1/51*v**3 + 0 + 1/102*v**4 - 2/17*v**2. Factor y(a).
2*(a - 1)*(a + 2)/17
Let m = -529937 + 529945. Factor 1555/2*i**3 + 100*i - 865/2*i**2 + 361/2*i**5 - m - 1235/2*i**4.
(i - 1)**3*(19*i - 4)**2/2
Let b(s) = -2*s**2 + 192*s + 596. Let q be b(-3). Let f(l) be the first derivative of 2/3*l**3 + 0*l - 10 - 2*l**q. Factor f(h).
2*h*(h - 2)
Let p = 5209 - 5203. Let r(t) be the second derivative of -1/30*t**4 + 0 + 1/50*t**5 + 0*t**2 + 1/45*t**3 - 1/225*t**p + 11*t. Factor r(k).
-2*k*(k - 1)**3/15
Let a be 8/(-63) - ((-549)/(-81) + -7). Let c(l) be the third derivative of 1/28*l**4 + 1/210*l**5 + 0 + 0*l - 44*l**2 + a*l**3. Factor c(v).
2*(v + 1)*(v + 2)/7
Find m such that 10/3*m**4 + 2/3*m**5 + 14/3*m**3 + 2*m**2 + 0*m + 0 = 0.
-3, -1, 0
Let c(w) be the first derivative of 5*w**4/4 + 95*w**3/3 - 2048. Let c(g) = 0. Calculate g.
-19, 0
Let q be (-1*((-6)/8 - -1)*-1)/((-40)/(-2640)). Factor -17 - q*r + 1/2*r**2.
(r - 34)*(r + 1)/2
Suppose 34*l = 23*l + 550. Find b, given that b**2 - b**2 - 45 - l*b + 165 - 5*b**2 = 0.
-12, 2
Let z(q) be the third derivative of -q**5/360 - 505*q**4/72 - 255025*q**3/36 + 707*q**2. Factor z(u).
-(u + 505)**2/6
Let d(h) = 2*h**2 - 3*h + 2. Let c(w) be the third derivative of -w**5/60 - w**4/12 + w**3/3 + 5*w**2 - 5. Let k(v) = -c(v) - d(v). Solve k(t) = 0.
1, 4
Suppose -t - 3*t - 16 = -5*z, -3*t = 4*z + 12. Suppose -4*f + 4*v + 12 = -4, -5*f - 3*v + 20 = z. Factor -1/2*y + 9/4*y**2 + 1/2*y**3 + 0 - 9/4*y**f.
-y*(y - 1)*(y + 1)*(9*y - 2)/4
Suppose -5*q + 346 = -4*c, -18 - 36 = -q - 3*c. Let -q - 77 + 315 - 78 - 3*l**2 + 12*l - 58 = 0. What is l?
-2, 6
Let l(d) be the second derivative of -d**7/126 + 4*d**6/45 - 2*d**5/15 - 8*d**4/9 + 8*d**3/3 - 1817*d. Suppose l(g) = 0. Calculate g.
-2, 0, 2, 6
Suppose 0 = 5*n - 33 + 8. Suppose 2*g - 2*p = 0, -4*g + 2*g + 4 = -p. Factor 3*m + 2*m - 2*m**4 - n*m**3 - 5*m**2 + 0*m + 7*m**g.
5*m*(m - 1)**2*(m + 1)
Let p = -59357 - -59362. Factor -12*f**2 + 36/7*f**3 + 66/7*f + 6/7*f**4 - 6/7*f**p - 18/7.
-6*(f - 1)**4*(f + 3)/7
Suppose 7 - 49 - 46 = -44*g. Find f such that 8/5*f + 8*f**g + 18/5*f**3 + 0 = 0.
-2, -2/9, 0
Let h(p) be the third derivative of 8*p**3 - 1/20*p**5 - 3/4*p**4 - p**2 - 17*p + 0. Solve h(q) = 0.
-8, 2
Let q(n) be the second derivative of -15/2*n**2 + 1/12*n**4 - 7/3*n**3 + 13*n + 0. Find d such that q(d) = 0.
-1, 15
Let l(o) be the second derivative of -14/75*o**6 + 190*o + 13/25*o**5 + 16/5*o**2 + 2/105*o**7 - 1/15*o**4 + 0 - 28/15*o**3. Determine j, given that l(j) = 0.
-1, 1, 2, 4
Let f(q) = 22*q**2 + 33*q + 20. Let k(h) = -12*h**2 - 16*h - 9. Let u(z) = -5*f(z) - 9*k(z). Factor u(w).
-(w + 1)*(2*w + 19)
Suppose -1183*t - 2*t**2 - 349448 - 736*t + 247*t = 0. Calculate t.
-418
Let h(q) = -q**5 - 3*q**4 - q**3 + q - 3. Let u(k) = 7*k**5 - 109*k**4 + 947*k**3 - 3185*k**2 + 3428*k + 6. Let p(y) = 2*h(y) + u(y). Let p(l) = 0. Calculate l.
0, 2, 7
Suppose -19 + 2063*k - 612 + 173 - 1612*k**2 + 10*k**3 - 4*k**3 + k**3 = 0. Calculate k.
2/7, 1, 229
Let z(p) be the first derivative of p**5/10 - p**4 + 17*p**3/6 - 5*p**2/2 - 3464. Find h, given that z(h) = 0.
0, 1, 2, 5
Let t(d) be the second derivative of -d**5/2 - 125*d**4/12 + 205*d**3/6 - 35*d**2 - 6*d - 255. Determine c, given that t(c) = 0.
-14, 1/2, 1
Factor 296/5*i + 4/5*i**3 + 416/5 - 116/5*i**2.
4*(i - 26)*(i - 4)*(i + 1)/5
Suppose q = -0*d - d + 2, -5*d - q + 2 = 0. Let s = -11428356/11 + 1038942. Factor s*h**2 + d - 48/11*h.
6*h*(h - 8)/11
Let o(g) be the first derivative of -12*g**5 + 6*g - 23*g**2 + 4/3*g**6 + 43 + 121/8*g**4 + 51/2*g**3. Solve o(l) = 0 for l.
-1, 1/4, 2, 6
Let q = -1 + 1. Let w = -17060 + 17062. Let -6/7*u - 9/7*u**3 + q + 15/7*u**w = 0. What is u?
0, 2/3, 1
Let o be (-4)/15*1347/(-1796). Factor 1/5 + 1/5*c**3 - 1/5*c**2 - o*c.
(c - 1)**2*(c + 1)/5
Let o(c) be the third derivative of 4*c**7/105 - 19*c**6/30 + 7*c**5/15 + 19*c**4/6 - 6*c**3 - 99*c**2. Determine z, given that o(z) = 0.
-1, 1/2, 1, 9
Let 2/3*q**2 + 426 - 1280/3*q = 0. Calculate q.
1, 639
Suppose 3*t - 55 + 4 = 0. S