*5/30 + 59*n**4/12 - 122*n**3/3 - 5*n**2 - 505*n. Factor c(l).
2*(l - 2)*(l + 61)
Let s be ((-2108)/(-248))/(34/12). Suppose -9/4*g**2 + 21/4 + 3/8*g**s - 27/8*g = 0. What is g?
-2, 1, 7
What is o in 3/4*o**2 - 411*o + 56307 = 0?
274
Let a be (9 + -4 - 19) + (-212)/(-14). Suppose 2*h - h = 3. Factor 0 - a*g**4 + 0*g + 3/7*g**5 - 2/7*g**2 + g**h.
g**2*(g - 1)**2*(3*g - 2)/7
Determine p so that 53/5*p**2 - 1/5*p**3 + 0 - 30*p = 0.
0, 3, 50
Suppose 73*d = 26*d + 235. Let v(i) be the second derivative of 0 + 2/21*i**4 + 8/7*i**2 - 6*i + 1/35*i**d - 2/3*i**3. Solve v(f) = 0.
-4, 1
Let p(t) be the second derivative of 47*t**5/60 + 16*t**4/3 + 8*t**3/9 + 282*t. Solve p(o) = 0 for o.
-4, -4/47, 0
Let t(f) be the first derivative of 9*f**4/8 + 49*f**3/2 - 51*f**2/2 - 740. Suppose t(v) = 0. Calculate v.
-17, 0, 2/3
Let b(w) = -40 - 42 - 39 - 9*w - 10*w**2 + 123 - 3*w**3. Let y be b(-1). Factor -8*c - 1/2*c**3 + 0 - y*c**2.
-c*(c + 4)**2/2
Let p(h) = 29*h**3 + 51*h**2 - 336*h - 79. Let x(y) = 7*y**3 + 12*y**2 - 84*y - 20. Let f(u) = -4*p(u) + 15*x(u). Factor f(c).
-(c - 2)*(c + 4)*(11*c + 2)
Let j(m) = -m**2 + 22*m + 68. Let g(n) = 25*n + 70. Let k(w) = 6*g(w) - 5*j(w). Factor k(d).
5*(d + 4)**2
Factor 6782*p - 2709*p + 6499*p - 1692*p + 3942720 + 5*p**2.
5*(p + 888)**2
Let q(z) = -2*z**4 - 39*z**3 - 51*z**2 + 5*z + 48. Let p(m) = 12*m**4 + 196*m**3 + 258*m**2 - 26*m - 240. Let r(s) = 6*p(s) + 28*q(s). Factor r(i).
4*(i + 2)**3*(4*i - 3)
Suppose 4*x = 3*l - 7 - 25, -2*l - 4*x = -48. Let 11494*i - 11502*i - 10*i**4 - 4*i**5 + 2*i**3 + l*i**2 + 4*i**3 = 0. What is i?
-2, 0, 1/2, 1
Let n(k) be the first derivative of 1/9*k**3 - 1/12*k**2 - 33 + 1/36*k**6 - 1/15*k**5 + 0*k**4 + 0*k. Let n(p) = 0. What is p?
-1, 0, 1
Let i(h) be the second derivative of h**6/90 + 22*h**5/15 + 583*h**4/36 + 218*h**3/3 + 162*h**2 + 380*h - 3. Factor i(m).
(m + 2)**2*(m + 3)*(m + 81)/3
Suppose -l - 46*i = -28*i - 111, 2*i = -5*l + 27. What is p in 0 + 48/17*p**2 + 2/17*p**l + 288/17*p = 0?
-12, 0
What is y in 12*y**2 + 24*y**2 - 8*y - 207 + 209 + 9*y - 19*y = 0?
1/6, 1/3
Let -164*x**4 + 481*x**2 + 60 - 11/2*x**5 - 418*x + 93/2*x**3 = 0. What is x?
-30, -2, 2/11, 1
Let x(s) be the second derivative of -2*s**7/7 - 202*s**6/45 - 382*s**5/15 - 512*s**4/9 - 64*s**3/3 + 18*s + 92. What is i in x(i) = 0?
-4, -3, -2/9, 0
Let s(g) = 2*g**4 + 22*g**3 - 150*g**2 + 178*g - 76. Let j(b) = b**4 + 16*b**3 - 100*b**2 + 118*b - 50. Let o(p) = -8*j(p) + 5*s(p). Factor o(c).
2*(c - 5)*(c - 2)*(c - 1)**2
Let i(t) be the second derivative of -t**5/30 + 25*t**4/36 + 8*t**3/9 - 13*t**2/2 - 84*t + 7. Factor i(j).
-(j - 13)*(j - 1)*(2*j + 3)/3
Factor 132/5*d**3 - 6336/5*d - 3/5*d**4 - 6912/5 - 1164/5*d**2.
-3*(d - 24)**2*(d + 2)**2/5
Suppose -2*b + 1957 = -3*c, 2*c + 21*b + 1307 = 20*b. Let s be c/(-85) - (-2)/17. Find m such that -3/5*m**5 + s*m**2 + 0 - 3/5*m**4 + 18/5*m + 21/5*m**3 = 0.
-2, -1, 0, 3
Let p = 12049/8 + -1506. Let b(q) be the first derivative of -q - 1/4*q**2 + 1/3*q**3 + p*q**4 + 12. Determine l, given that b(l) = 0.
-2, -1, 1
Find w such that -2/13*w**2 - 36/13 + 18/13*w = 0.
3, 6
Let h = -4813 - -4818. Let o(x) be the first derivative of -9 - 7*x**6 + 20/7*x**2 + 16/7*x - 173/14*x**4 + 116/5*x**h - 76/7*x**3. Suppose o(n) = 0. What is n?
-2/7, 1/3, 1, 2
Let h = 43559 + -175661/4. Let t = -356 - h. What is l in 5/4*l + t*l**2 + 3/2 = 0?
-3, -2
Let f(l) be the second derivative of 51*l**5/4 + 5*l**4/12 - 3683*l. Factor f(h).
5*h**2*(51*h + 1)
Let t = -7267/24 + 2497/8. Factor 6*g + t + 2/3*g**2.
2*(g + 2)*(g + 7)/3
Let l(p) be the third derivative of 0 - 1/6*p**6 + 4/15*p**5 + 1/6*p**4 + 100*p**2 + 0*p**3 + 0*p. Factor l(f).
-4*f*(f - 1)*(5*f + 1)
Let u(b) be the second derivative of b**5/90 - 23*b**4/54 + 56*b**3/9 - 44*b**2 - 29*b + 37. Solve u(j) = 0 for j.
6, 11
Let g(x) = 3*x**4 - 61*x**3 - 146*x**2 + 216*x + 494. Let q(b) = -b**4 + 20*b**3 + 48*b**2 - 72*b - 164. Let a(d) = 6*g(d) + 21*q(d). Solve a(p) = 0.
-2, 2, 20
Let f(k) be the third derivative of k**5/30 - 101*k**4/24 - 17*k**3/2 + 86*k**2 + 3. Factor f(v).
(v - 51)*(2*v + 1)
Let 490/3*k**3 - 1942/3*k**2 - 156 + 50/3*k**4 + 586*k = 0. Calculate k.
-13, 3/5, 2
Let g(o) = 12*o + 77. Let s be g(-4). Determine j, given that -91 - 9*j + s*j + 9 - 5*j**3 + 10*j**2 + 42 = 0.
-2, 2
Let b(z) be the second derivative of 315*z + 18*z**3 - 486*z**2 + 0 - 1/4*z**4. Factor b(c).
-3*(c - 18)**2
Let s(r) be the second derivative of 0 - 1/42*r**4 + 8/21*r**3 - 16/7*r**2 + 66*r. Factor s(m).
-2*(m - 4)**2/7
Let o be 1 - (-24 - 142/(-6))*(2 + 1). Let t(i) be the third derivative of 0 - 1/8*i**5 + 0*i + i**3 + 1/2*i**4 + 29*i**o. Factor t(v).
-3*(v - 2)*(5*v + 2)/2
Suppose 28 = 2*p - 2*c + 7*c, -5*p + 55 = 5*c. Suppose -p*l + 14*l - 15 = 0. Factor -l*i**3 + 3*i**4 + 6*i - 3*i**3 - 124 + 121.
3*(i - 1)**3*(i + 1)
Find w such that 2/3*w**3 + 0 + 1536*w - 64*w**2 = 0.
0, 48
Suppose 91 = 17283*v - 17290*v. Let n(c) = 2*c**3 + 26*c**2 - 4*c - 48. Let y be n(v). Factor 0*k + 32/5*k**2 - 16/5*k**3 + 2/5*k**y + 0.
2*k**2*(k - 4)**2/5
Let -2/9*k**2 + 2/9*k + 8/3 = 0. What is k?
-3, 4
Suppose -5*h + 190 = -3*b, 4*h + 2*b + 61 - 191 = 0. Let s be 162/(-168) - 1/((-28)/h). Determine f, given that -8/7 + 16/7*f - 10/7*f**2 + s*f**3 = 0.
1, 2
Suppose 0 = -31*a + 175 - 51. Let b(m) = m**3 + m**2 + m - 1. Let z(x) = -5*x**4 - 4*x**3 + 41*x**2 + 16*x - 56. Let k(r) = a*b(r) + z(r). Factor k(c).
-5*(c - 3)*(c - 1)*(c + 2)**2
Suppose -1/2 + 5/4*a**4 + 13/4*a - 1/4*a**3 - 15/4*a**2 = 0. What is a?
-2, 1/5, 1
Let a = -7266662 + 7266662. Let p = 14 - 53/4. Factor -1/4*j**2 + p*j + a.
-j*(j - 3)/4
Find y, given that -59/10*y + 17/5*y**2 + 1/2*y**3 - 44/5 = 0.
-8, -1, 11/5
Let n(d) be the first derivative of -d**7/210 + d**6/45 - d**5/30 + 8*d**3/3 + 16. Let v(s) be the third derivative of n(s). Factor v(g).
-4*g*(g - 1)**2
Factor -2714*n**2 - 1/2*n**4 + 18480*n + 70*n**3 - 34848.
-(n - 66)**2*(n - 4)**2/2
Let v(g) = 36*g**2 - 1050*g + 11014. Let i(b) be the first derivative of -7*b**3/3 + 105*b**2 - 2203*b + 33. Let r(k) = -11*i(k) - 2*v(k). Factor r(o).
5*(o - 21)**2
Let u(i) be the second derivative of -i**7/112 - 29*i**6/80 - 33*i**5/32 - 27*i**4/32 - 282*i. Factor u(g).
-3*g**2*(g + 1)**2*(g + 27)/8
Let h = -145 + 124. Let l be (-16)/(h*6/9). Solve -4*c**2 - 36/7*c**3 - 20/7*c**4 - 4/7*c**5 - l*c + 0 = 0.
-2, -1, 0
Let h(q) = -14*q**2 - 4*q + 47. Let r(x) = -6*x**2 - 2*x + 23. Let f(u) = 2*h(u) - 5*r(u). Let g be f(-4). Factor -1/5*n**g - 7/5*n - 3/5 - n**2.
-(n + 1)**2*(n + 3)/5
Suppose 0 - 24/13*z**3 + 2/13*z**4 - 56/13*z + 6*z**2 = 0. What is z?
0, 1, 4, 7
Let x(a) be the second derivative of a**5/110 + 7*a**4/66 - 94*a**3/33 - 208*a**2/11 + 2854*a. Factor x(t).
2*(t - 8)*(t + 2)*(t + 13)/11
Let x be (5 + 12/(-6))*420/2205. Factor x*u**3 - 2/7 - 2/7*u - 2/7*u**4 - 2/7*u**5 + 4/7*u**2.
-2*(u - 1)**2*(u + 1)**3/7
Let i be (99/12)/((-24)/16) - -6. Suppose -6*w - 8 = -8*w. Suppose 0 + i*s**5 + 9/2*s**w + 8*s**2 + 12*s**3 + 0*s = 0. Calculate s.
-4, -1, 0
Let o(l) be the second derivative of l**4/18 + 56*l**3/9 + 460*l**2/3 + 7568*l. Factor o(w).
2*(w + 10)*(w + 46)/3
Suppose -300*p = -2*z - 302*p - 24, 4*p = -56. Factor 6/5 - 9/5*t**z - 3/5*t**3 + 3/5*t + 3/5*t**4.
3*(t - 2)*(t - 1)*(t + 1)**2/5
Let r be ((-17)/((-561)/22))/((-2)/(-6)). Let o be ((-7)/r - -2)/((-9)/4). Suppose 2/3*v**5 + 0*v + 0 + 4/3*v**4 + 0*v**2 + o*v**3 = 0. Calculate v.
-1, 0
Let v(p) = p**2 - 120*p - 132. Let o(r) be the first derivative of r**3/3 - 30*r**2 - 67*r + 62. Let g(a) = -11*o(a) + 6*v(a). Suppose g(f) = 0. Calculate f.
-11, -1
Let z(o) be the second derivative of o**5/50 + 4*o**4/15 + 17*o**3/15 + 2*o**2 - 4375*o. Factor z(v).
2*(v + 1)*(v + 2)*(v + 5)/5
Let o be (-454)/(-420) - 183/(-854) - 6/63. Find w such that -8/5 + 2/5*w**3 + 0*w + o*w**2 = 0.
-2, 1
Let u(c) be the third derivative of 13*c**7/42 - c**6 - 43*c**5/12 - 5*c**4/4 + 79*c**2 + 1. Suppose u(h) = 0. Calculate h.
-1, -2/13, 0, 3
Factor -9828*b - 36333/4*b**2 - 363/4*b**3 - 2673.
-3*(b + 99)*(11*b + 6)**2/4
Solve 0 + 2048/5*f + 1/5*f**4 + 896/5*f**2 - 62/5*f**3 = 0.
-2, 0, 32
Let 129/8*l - 129/8*l**3 - 3/2*l**4 - 33/8 + 45/8*l**2 = 0. What is l?
-11, -1, 1/4, 1
Suppose 35 - s**4 + 268*s**3 + 7*s**4 + 54 - 728*s 