m be (28/(-140))/(2/(-10)). Let w be p(m). Let 0 + w*b + 0*b**3 - 2/11*b**2 + 2/11*b**4 = 0. What is b?
-1, 0, 1
Let q(l) = 62*l**4 - 284*l**3 + 424*l**2 - 186*l + 30. Let y(x) = 125*x**4 - 568*x**3 + 848*x**2 - 361*x + 59. Let o(m) = -5*q(m) + 2*y(m). Solve o(h) = 0.
1/3, 2/5, 2
Let f(d) be the third derivative of -d**8/26880 - d**7/1008 + 131*d**4/24 - 2*d**2 + 8*d. Let i(r) be the second derivative of f(r). Factor i(b).
-b**2*(b + 10)/4
Let g = 1017 - 1754. Let d = g + 5161/7. Factor -12/7*o**3 + 0 + 0*o - d*o**4 - 10/7*o**2.
-2*o**2*(o + 1)*(o + 5)/7
Let u(f) = -84*f - 246. Let l be u(-3). Let x(t) be the second derivative of -1/10*t**l + 3/10*t**5 + 0 + 3/2*t**2 - 22*t + 0*t**4 - t**3. Factor x(k).
-3*(k - 1)**3*(k + 1)
Let r(p) be the second derivative of -p**4/72 - 467*p**3/12 + 701*p**2/6 - 7746*p. Factor r(h).
-(h - 1)*(h + 1402)/6
Let j = -3/13165 + 355467/52660. Factor -72*r - 192 - j*r**2.
-3*(3*r + 16)**2/4
Let v(a) = -a**2 - 9*a - 12. Let c be v(-7). Factor 100 + 83*i - 53*i - 5*i**c - 70*i.
-5*(i - 2)*(i + 10)
Suppose v = -z - 44, -5*v - 257 = -5*z + 13. Let l be (6/4)/((-2)/(28/v)). Factor 0 + l*q**2 + 3/7*q.
3*q*(q + 1)/7
Let a(y) = y**5 - y**3 + y**2. Suppose 421*k - 150 = 427*k. Let g(x) = 30*x**5 - 80*x**4 + 365*x**3 - 535*x**2 + 245*x. Let n(i) = k*a(i) + g(i). Factor n(t).
5*t*(t - 7)**2*(t - 1)**2
Suppose 28*k = 36*k - 2000. Factor -16*m**2 + 21 - 16*m**2 + 68*m - 61 - k*m**3 + 254*m**3.
4*(m - 5)*(m - 2)*(m - 1)
Let n(r) be the third derivative of -r**8/231840 + r**7/1932 - 5*r**6/184 - r**5/15 - r**4/24 + 25*r**2. Let o(k) be the third derivative of n(k). Factor o(z).
-2*(z - 15)**2/23
Let d(f) be the third derivative of f**9/1008 - f**7/40 + f**6/20 + 83*f**3/6 - 8*f**2 - 12. Let i(w) be the first derivative of d(w). Factor i(x).
3*x**2*(x - 2)*(x - 1)*(x + 3)
Let v = -88328 - -353313/4. Factor v*i**3 + 25/4 + 35/4*i + 11/4*i**2.
(i + 1)*(i + 5)**2/4
Let x(q) = 3*q - 1. Let g be x(32). Suppose 3*t**4 - 4*t - 89*t**2 - 7*t + g*t**2 - t + 12*t**3 - 9 = 0. Calculate t.
-3, -1, 1
Let f(d) be the second derivative of 121*d**7/42 - 539*d**6/30 + 119*d**5/20 + 1439*d**4/12 - 40*d**3 - 450*d**2 - 2205*d + 1. Suppose f(y) = 0. Calculate y.
-1, 1, 30/11
Let i(c) be the third derivative of 1/540*c**5 - 5/54*c**3 + 0 - 8*c**2 - 2*c - 1/54*c**4. Factor i(a).
(a - 5)*(a + 1)/9
Suppose -146*c = 110*c - 1024. Determine y so that -4/9*y**5 - 2/9*y**2 + 0 - 2/9*y + 2/3*y**3 + 2/9*y**c = 0.
-1, -1/2, 0, 1
Let y = -321 + 329. Solve -38*j - y*j**2 + 4*j**3 - 932 - 6*j + 980 = 0.
-3, 1, 4
Let 269/6 + 1/6*t**2 + 45*t = 0. What is t?
-269, -1
Determine n so that -129/2 - 195*n**2 + 66*n**3 - 1/2*n**4 + 194*n = 0.
1, 129
Let p = 3/8405 - -420211/109265. Factor p*b**4 + 90/13*b**3 + 0 + 48/13*b**2 + 8/13*b.
2*b*(b + 1)*(5*b + 2)**2/13
Let -2/17*g**4 + 840/17*g**2 - 4480/17 + 128/17*g**3 + 64/17*g = 0. Calculate g.
-4, 2, 70
Factor 1/3*k**2 + 57963 - 278*k.
(k - 417)**2/3
Suppose -178/11*k**2 - 1630/11*k - 2/11*k**3 - 3950/11 = 0. What is k?
-79, -5
Suppose -19*r = 32*r + 71*r - 244. Let o(z) be the second derivative of 1/9*z**3 + 0 - 13*z - 1/18*z**4 + 2/3*z**r. Factor o(y).
-2*(y - 2)*(y + 1)/3
Let d = 130/21 - 1819/294. Let b(g) be the second derivative of 1/70*g**5 - d*g**7 + 0 + 0*g**4 - 1/42*g**3 + 0*g**6 - 16*g + 0*g**2. Factor b(t).
-t*(t - 1)**2*(t + 1)**2/7
Let y be (-57590)/(-7800) + 63/(-12). Factor -y*h + 2/15*h**3 + 2/15*h**2 - 32/15.
2*(h - 4)*(h + 1)*(h + 4)/15
Let k be 357/27 + (-10)/45. Suppose 52 = -0*j + k*j. Suppose 0*r + 9*r**2 - 12 + 6*r**3 + 12*r**j - 12*r - 15*r**4 = 0. Calculate r.
-1, 2
Let y = 189351/50 + -3787. Let k(x) be the second derivative of 0*x**2 + 0 - 1/15*x**4 - y*x**5 + 10*x + 0*x**3. Factor k(n).
-2*n**2*(n + 2)/5
Let b = -517967 + 517967. Suppose -1/3*h**3 + b*h + 0 + 2/3*h**2 - 1/3*h**4 = 0. What is h?
-2, 0, 1
Factor 1/5*a**2 + 2138/5*a + 1142761/5.
(a + 1069)**2/5
Let g(v) be the first derivative of 6*v**5/5 - 63*v**4/4 - 131*v**3 - 90*v**2 + 3926. Factor g(n).
3*n*(n - 15)*(n + 4)*(2*n + 1)
Let l(p) be the second derivative of -11*p**6/70 - 3*p**5/7 + 169*p**4/28 - 15*p**3/7 - 2*p + 708. Determine t, given that l(t) = 0.
-5, 0, 2/11, 3
Let x = 276 - 144. Let i = -391/3 + x. Factor 8/3*r - i - r**2.
-(r - 1)*(3*r - 5)/3
Factor 11*f + 78/7 - 1/7*f**2.
-(f - 78)*(f + 1)/7
Let h be -10*(-7 + 1 + (-58)/(-10) + 0). Let t(j) be the first derivative of -2/15*j**3 - 15 + 1/25*j**5 + 1/5*j + 0*j**h + 0*j**4. Factor t(d).
(d - 1)**2*(d + 1)**2/5
Factor 49*f - f**3 + 0*f**3 - 5*f**3 - 7*f**3 - 35*f**2 - f**4.
-f*(f - 1)*(f + 7)**2
Let f(y) be the third derivative of 13*y**6/60 - 17*y**5/5 + 35*y**4/3 + 8*y**3 + 154*y**2 - 7. What is l in f(l) = 0?
-2/13, 2, 6
Find a, given that -1389/4*a**2 - 3/4*a**5 - 345*a + 0 + 69/4*a**4 + 63/4*a**3 = 0.
-4, -1, 0, 5, 23
Let g be 19 - (-4 + 4)/9. Suppose -6*x = -6*x + g*x. Factor x*b**2 + 3/8*b**4 - 1/8*b**5 + 0 - 1/4*b**3 + 0*b.
-b**3*(b - 2)*(b - 1)/8
Let n(g) be the first derivative of -g**4/4 - 1969*g**3/3 - 968255*g**2/2 + 970225*g + 4337. Determine b, given that n(b) = 0.
-985, 1
Let y(z) be the first derivative of z**3 - 2571*z**2 + 2203347*z - 1087. Factor y(w).
3*(w - 857)**2
Let m(w) be the third derivative of w**6/360 - 611*w**5/180 + 203*w**4/12 + 26*w**2 - 88*w. Factor m(u).
u*(u - 609)*(u - 2)/3
Let i = -2735 + 2738. Let a(z) be the third derivative of 0 - 19/180*z**5 + 7/360*z**6 + 1/9*z**4 + 2/9*z**i + 0*z - 7*z**2. Find t, given that a(t) = 0.
-2/7, 1, 2
Determine k so that 49*k**3 - 206 + 7*k**5 - 108*k + 206 + 100*k**4 + 60*k**2 + 211*k**3 + k**5 = 0.
-9, -3, -1, 0, 1/2
Factor 83*l**3 + l**5 - 11*l**3 - 89*l**4 + 103*l**3 + 2821 - 2821 - 87*l**2.
l**2*(l - 87)*(l - 1)**2
Suppose -55 = 5*x - 5*j, -50050*x + j = -50053*x + 23. Factor 5*r**2 - 16/3 + 1/3*r**4 + 17/3*r**x - 17/3*r.
(r - 1)*(r + 1)**2*(r + 16)/3
Let f(g) = 4*g**2 + 6*g + 7. Let k be f(-2). Let 4 + 8*c**2 - 23 - 23*c**3 + 22*c**3 + c + k = 0. What is c?
-1, 1, 8
Let z be (-4)/(-48) - (21 + 8036/(-336)). Factor 0*v**z + 0 - 1/4*v**5 + 0*v**2 - 1/2*v**4 + 0*v.
-v**4*(v + 2)/4
Let l(y) be the third derivative of y**6/480 + 29*y**5/120 - 61*y**4/32 + y**2 + 116*y. Factor l(t).
t*(t - 3)*(t + 61)/4
Let n(h) be the first derivative of h**4/42 + 6*h**3/7 + 26*h**2/21 - 4911. Factor n(p).
2*p*(p + 1)*(p + 26)/21
Let z(n) be the third derivative of 1/60*n**5 + 0 - 5*n**2 - 1/6*n**3 + 10*n + 0*n**4. Let z(w) = 0. Calculate w.
-1, 1
Let u = 107 + -105. Factor -4 - r**u + 11*r**2 - 9*r**2.
(r - 2)*(r + 2)
Let l(x) be the first derivative of x**6/21 - 6508*x**5/35 + 1762580*x**4/7 - 844456224*x**3/7 - 5109143472*x**2/7 - 10246592448*x/7 + 1910. Factor l(q).
2*(q - 1086)**3*(q + 2)**2/7
Let j(b) be the first derivative of -40/7*b + 9 + 3*b**2 - 2/21*b**3. Determine z so that j(z) = 0.
1, 20
Suppose -5*g - 4*l + 15 = 0, 82*g = 78*g + 3*l + 43. Suppose 9*t - 7*t + c = g, 4*t - 2 = 2*c. Factor 8/11 + 6/11*k**t + 16/11*k.
2*(k + 2)*(3*k + 2)/11
Suppose 0 = 45*f - 5*f. Let b be 13/26*f/(-1). Factor b - g - 49/4*g**3 - 7*g**2.
-g*(7*g + 2)**2/4
Let u = 56 + -60. Let v be u + 42 + -1 + -1. Determine d so that 487*d - 4 + v*d**2 + 20 - 439*d = 0.
-2/3
Let 0*r + 7/3*r**3 + 5/3*r**2 + 0 = 0. What is r?
-5/7, 0
Suppose 7*j = 9 + 47. Suppose 26 = -j*o + 21*o. Let 1/5*d**4 - 1/5*d**3 + 0*d - 2/5*d**o + 0 = 0. What is d?
-1, 0, 2
What is z in 2/7*z**4 - 16*z - 38/7*z**2 + 4*z**3 + 120/7 = 0?
-15, -2, 1, 2
Let m(q) = 18*q**2 + 964*q + 236. Let u(p) = -p**2 + 2. Let s(y) = m(y) + 2*u(y). Determine c, given that s(c) = 0.
-60, -1/4
Suppose y - 9 + 5 = 0. Suppose 4*t - 20 = y*v, 40 = 4*v - 12*v. Solve 3/4*k**2 - 12*k**5 + t + 6*k**4 + 0*k + 21/4*k**3 = 0.
-1/4, 0, 1
Let l be -122*(-2)/24 + 288 + -298. Let f(u) be the second derivative of 9*u**2 + 2*u**3 + 0 + l*u**4 - 19*u. Suppose f(k) = 0. Calculate k.
-3
Factor -45*l**3 + 720950*l**4 - 5*l**5 - 720920*l**4 + 21*l**2 - l**2.
-5*l**2*(l - 4)*(l - 1)**2
Let o(j) be the second derivative of -j**4/3 - 100*j**3/3 + 550*j**2 + j + 127. Factor o(n).
-4*(n - 5)*(n + 55)
Let n(y) = -5*y**2 - 725*y - 1380. Let c(a) = 2*a**2 + 363*a + 688. Let o(r) = 5*c(r) + 3*n(r). Solve o(h) = 0 for h.
-70, -2
Let i(x) be the first derivative of -3*x**4/4 - 13*x**3 + 78*x**2 + 192*x + 1234. Le