 q*u + 23 + 2/15*u**2. Factor n(z).
2*(z + 1)**2/15
Factor 0 - 94/5*v**3 + 2/5*v**4 + 702/5*v**2 + 10206/5*v.
2*v*(v - 27)**2*(v + 7)/5
Let -62*k**2 - 3 - 193/2*k + 63/2*k**3 = 0. Calculate k.
-1, -2/63, 3
Let j(a) be the third derivative of a**5/20 + 89*a**4/8 + 44*a**3 - 57*a**2. Find x such that j(x) = 0.
-88, -1
Let z = 2185 - 2182. Let q be -3*(-1)/((-6)/(-8)). Find l, given that 2*l - 4*l + 2*l**z - 6*l**2 - 2*l**4 + q*l**3 + 4*l = 0.
0, 1
Factor -88 + v**2 - 2*v**2 + 68*v + 34*v - 17*v - 174*v.
-(v + 1)*(v + 88)
Find h, given that -864/7*h + 15/7*h**2 - 348/7 = 0.
-2/5, 58
Suppose 45/2*d + 1/2*d**2 + 148 = 0. Calculate d.
-37, -8
Let z(b) be the second derivative of -5*b**4/12 - 60*b**3 - 3240*b**2 - 732*b. Solve z(n) = 0.
-36
Suppose 44 + 232 = 3*d. Let w be (-4 - d/(-8))/(2/8). Solve -57*n**4 + 15*n**3 + w*n**5 + 15*n**2 - 6*n + 7*n**3 + 15*n**3 - 19*n**3 = 0.
-1/2, 0, 2/5, 1
Let p be 49 - (16 - -4) - 26. Let x(q) be the second derivative of 2/3*q**p + 0 + 1/2*q**4 + 1/10*q**5 + 12*q + 0*q**2. Suppose x(r) = 0. What is r?
-2, -1, 0
Let h = 445 + -613. Let f be h/(-56) + 1/((-1)/3). Factor 2*p**2 + 1/2*p**4 - 2*p**3 + f + 0*p.
p**2*(p - 2)**2/2
Suppose z + 516 = 13*z. Factor 12*l**4 - z*l**2 + 2*l**5 - 15*l + 37*l**2 - 11 + l**5 + 12*l**3 + 5.
3*(l - 1)*(l + 1)**3*(l + 2)
Let h(y) be the second derivative of -y**4/12 + 259*y**3/3 - 67081*y**2/2 + 2*y - 174. Factor h(t).
-(t - 259)**2
Let u(m) be the first derivative of -10*m - 5/3*m**4 + 0*m**5 + 8*m**2 + 2/15*m**6 + 0*m**3 - 9. Let i(r) be the first derivative of u(r). Solve i(p) = 0 for p.
-2, -1, 1, 2
Let r = -488350 + 488353. Let 40*l + 1/2*l**r + 50 - 19/2*l**2 = 0. What is l?
-1, 10
Suppose 943*m + 30 = 949*m. Factor -242*o**2 - 20*o - 40*o + 162*o**2 - 15*o**3 + m*o**4.
5*o*(o - 6)*(o + 1)*(o + 2)
Let b = 2191/5455 - 9/5455. Let -332/15*z**3 - 20/3*z**4 - 108/5 + 824/15*z**2 - b*z**5 + 246/5*z = 0. Calculate z.
-9, -1, 1/3, 2
Factor -4/3*k + 2/21*k**2 - 160/7.
2*(k - 24)*(k + 10)/21
Let 92/7*l + 128/7 + 1/7*l**3 - 5*l**2 = 0. Calculate l.
-1, 4, 32
Suppose -20*d - 4*m = -23*d - 40, -3*d + 2*m = 20. Let 2/9*q**2 + d - 8/9*q**3 + 8/9*q - 2/9*q**4 = 0. What is q?
-4, -1, 0, 1
Let c(l) be the third derivative of -l**6/60 - 7*l**5/20 + 91*l**4/12 + 16*l**3 + 366*l**2 + 2*l + 1. Factor c(i).
-(i - 6)*(i + 16)*(2*i + 1)
Suppose 2/5*g**4 - 322/5*g**3 + 322/5*g - 64 + 318/5*g**2 = 0. What is g?
-1, 1, 160
Let q(f) be the second derivative of 4*f**6/15 + 17*f**5/20 - 79*f**4/6 + 86*f**3/3 + 12*f**2 + 3*f + 13. Let q(i) = 0. Calculate i.
-6, -1/8, 2
Factor -135*v**2 + 594 - 2*v**4 + 2450445*v**3 + 2*v**4 + 81*v - 2450474*v**3 + 0*v**4 + v**4.
(v - 33)*(v - 2)*(v + 3)**2
Let 1/4*z**3 - 6 - 11/2*z + 3/4*z**2 = 0. Calculate z.
-6, -1, 4
Let f(c) be the second derivative of -c**8/43680 + 37*c**7/16380 - 115*c**4/12 + 105*c. Let n(p) be the third derivative of f(p). Solve n(t) = 0 for t.
0, 37
Let o = 28 + -12. Suppose -34*a + 128 = 60. Find c such that -c**2 + 4*c + c**a + 16 + 2*c**2 - o*c = 0.
2, 4
Let o be 60/(-18)*60/(-900). Determine q so that o*q**2 + 8/3 + 16/9*q = 0.
-6, -2
Factor -635*u**2 - 9494850*u**3 - 5*u**4 - 1760*u + 9494975*u**3 + 25*u**2.
-5*u*(u - 16)*(u - 11)*(u + 2)
Factor -95304*z**3 + 268468*z**2 + 247008*z**2 + 63536*z + 1936 - 39*z**4 + 4395*z**4.
4*(z - 11)**2*(33*z + 2)**2
Let l(h) = 4*h**4 - 28*h**3 - 92*h**2 - 96*h - 32. Let y(n) = -2*n**2 + 27 - 2*n**4 + 3*n**2 - 29 - n**3 + 1. Let v(t) = l(t) + 4*y(t). Factor v(o).
-4*(o + 1)**2*(o + 3)**2
Let b be 0 + (-6)/16*-4. Suppose 5*z = 21*z + 17*z - 66. Let 1/2*k**3 - b*k**z + 3/2*k - 1/2 = 0. What is k?
1
Factor -384*d - 10*d**3 + 88*d**2 - 10 + 23 + 12*d**3 - 13.
2*d*(d - 4)*(d + 48)
Let y(k) = 14*k**2 - 3*k - 10. Let o be y(-4). Factor 118*q**4 - o*q**4 + 5*q**3 + 118*q**4 + 5*q**5.
5*q**3*(q + 1)**2
Let u(k) = k**2 - 277*k + 131. Let s(j) = -j**2 + 29*j + 1. Let w(o) = 5*s(o) + u(o). Factor w(i).
-4*(i - 1)*(i + 34)
Let y = -345028/7 + 49290. Factor -12/7*q - y*q**4 + 0 + 0*q**3 + 2*q**2.
-2*q*(q - 2)*(q - 1)*(q + 3)/7
Let k(y) be the third derivative of y**7/1680 - y**6/240 - y**5/60 + 61*y**3/6 - 2*y**2 + 24. Let l(a) be the first derivative of k(a). Factor l(u).
u*(u - 4)*(u + 1)/2
Let h = 2/277075 + 5763094/9143475. Let s = 34/33 - h. Determine l, given that -2/5 - s*l**4 + 0*l**3 + 4/5*l**2 + 0*l = 0.
-1, 1
Factor -275/2*b - 13/2*b**2 - 21.
-(b + 21)*(13*b + 2)/2
Let u(b) be the first derivative of b**7/5040 - b**6/360 - 7*b**5/720 - 127*b**3/3 - 41. Let o(n) be the third derivative of u(n). Factor o(s).
s*(s - 7)*(s + 1)/6
Suppose 2*v = -3*s - 10, -2*v - 2 - 8 = 0. Suppose s*d = 7*d + d. Factor d + 0*j - 7/4*j**5 - 1/2*j**2 - 11/4*j**3 - 4*j**4.
-j**2*(j + 1)**2*(7*j + 2)/4
Let z(c) be the first derivative of 2*c**3/9 + 95*c**2/3 - 130. Factor z(t).
2*t*(t + 95)/3
Suppose -1 = -3*p - 7. Let g be (216/132 + p)*2*-2. Let -32/11*t**5 + 382/11*t**3 - 232/11*t + g*t**4 + 32/11 + 320/11*t**2 = 0. What is t?
-2, 1/4, 4
Find a, given that -52*a - 8*a**2 - 3*a**4 - 159 - 7*a**4 - 4*a**5 - 156 - 10*a**4 + 343 + 56*a**3 = 0.
-7, -1, 1
Suppose 5*r - 18 = -13*t + 10*t, 11 = 3*r + 2*t. Let 6*g**4 + r*g**3 - 49*g**2 + 28*g**2 + 23*g**2 + 5*g**3 = 0. Calculate g.
-1, -1/3, 0
Factor 3765*z - 433*z**2 + 351 - 473*z**2 + 931*z**2 - 1861.
5*(z + 151)*(5*z - 2)
Let l = -953847/5 - -190770. Factor 12/5*z**2 + l*z - 42/5.
3*(z + 2)*(4*z - 7)/5
Factor 32/15*p**3 + 6*p**2 - 108/5*p + 0 + 2/15*p**4.
2*p*(p - 2)*(p + 9)**2/15
Let l(d) be the second derivative of d**6/6 + 429*d**5/4 + 19260*d**4 + 114490*d**3/3 + 12*d + 3. Determine z, given that l(z) = 0.
-214, -1, 0
Factor 0 + 1347/2*o**2 + 384*o**4 - 5424*o**3 - 21*o.
3*o*(o - 14)*(16*o - 1)**2/2
Let g(q) = 6*q**2 - 3*q. Let x be g(5). Suppose -14*c + x = -5*c. Solve c*p - p**3 + 3 - 1 - 12*p = 0 for p.
-1, 2
Suppose 0 = -11*b + 2*b + 198. Suppose -127 + b = -35*y. Factor 3/2*w**2 - 3/2*w**y + 3*w + 0.
-3*w*(w - 2)*(w + 1)/2
Let m(v) be the second derivative of v**4/20 + 242*v**3/5 + 1449*v**2/10 + 5321*v. Factor m(n).
3*(n + 1)*(n + 483)/5
Solve -8/3*i**4 - 2/15*i**5 + 0*i - 92/15*i**2 + 0 + 134/15*i**3 = 0 for i.
-23, 0, 1, 2
Let -2/9*u**5 + 14/9*u**3 + 40/9*u**2 + 0 - 4/9*u**4 + 8/3*u = 0. What is u?
-2, -1, 0, 3
Let t = -387964 + 387972. Factor -t*g**2 + 8 - 4/7*g**3 + 4/7*g.
-4*(g - 1)*(g + 1)*(g + 14)/7
Let d = -609267 - -609268. Suppose 8*a**4 - 9*a**2 - 9/2*a**5 + d + 2*a**3 + 5/2*a = 0. What is a?
-1, -2/9, 1
Let p = -107 + 54. Let k = -48 - p. Factor 4*g**4 - 15*g**k + 4*g**3 - 6*g**4 - 15*g**5.
-2*g**3*(3*g - 1)*(5*g + 2)
Suppose 0 = 34*c - 5*c - 1015. Suppose -c*x + 112 + 28 = 0. Factor -4/9*i + 0 + 14/9*i**2 - 2*i**3 - 2/9*i**5 + 10/9*i**x.
-2*i*(i - 2)*(i - 1)**3/9
Let z(c) be the third derivative of -c**5/270 + 7*c**4/36 + 100*c**3/27 - 1966*c**2. Factor z(v).
-2*(v - 25)*(v + 4)/9
Let t(k) be the second derivative of k**8/70560 + k**7/420 + 7*k**6/40 + 147*k**5/20 - k**4 - 90*k. Let n(w) be the third derivative of t(w). Factor n(p).
2*(p + 21)**3/21
Find g, given that -464/5 - 29/5*g**3 + 332/5*g - 1/5*g**4 + 12/5*g**2 = 0.
-29, -4, 2
Let r be 12/816*17 + 1/4. Let i(y) be the first derivative of 17 - 3/2*y**2 + 0*y**4 + 2*y**3 + 0*y + r*y**6 - 6/5*y**5. Find h such that i(h) = 0.
-1, 0, 1
Let n = 82241 - 411203/5. Factor -338/5 + 52/5*f - n*f**2.
-2*(f - 13)**2/5
Let k be (-4)/((-16)/28)*120/70. Let u be 9/((-378)/k) - 38/(-84). Let -2/3*r - u*r**2 - 1/2 = 0. What is r?
-3, -1
Suppose -305 - 255*i - 35*i**2 - 220 + 455 = 0. Calculate i.
-7, -2/7
Let p(x) be the second derivative of -5*x**7/357 - 23*x**6/255 - x**5/34 + 31*x**4/102 + 10*x**3/51 - 8*x**2/17 + 1836*x. Solve p(i) = 0 for i.
-4, -1, 2/5, 1
Let f be (2276 - 56)/37 + -57. Let 332/9*i - 4/9*i**4 + 4/3*i**2 - 12*i**f + 24 = 0. Calculate i.
-27, -1, 2
Determine b, given that -35*b**4 + 249*b**2 - 2646 + 3717*b + 32*b**4 - 117*b**3 - 1200*b**2 = 0.
-21, 1, 2
Factor -32/3*g**2 + 1/6*g**3 + 32/3 - 1/6*g.
(g - 64)*(g - 1)*(g + 1)/6
Suppose -21 = -6*z + 123. What is x in -850 - 12*x**2 + 950 - 60*x - z*x**2 - 4*x**3 = 0?
-5, 1
Let t = 211/242 + 943/1694. Let y = 6 - 3. Factor 6/7*i**2 + 4/7 - 2/7*i**4 + t*i - 2/7*i**y.
-2*(i - 2)*(i + 1)**3/7
Let z(y) be the third derivative of -7*y**6/150 - 58*y**5/75 - 11*y**4/