e (0 - -18)/(-1 - -2). Let k be (-10152)/(-2457) - (o/(-39))/3. Solve -b**3 + 8/7 - 36/7*b + k*b**2 = 0.
2/7, 2
Suppose 8 = 3*z + 2*p, -11*p + 8*p + 12 = -4*z. Let o(i) be the third derivative of 0 + z*i - 10*i**2 - 2/33*i**4 + 16/33*i**3 + 1/330*i**5. Factor o(x).
2*(x - 4)**2/11
Let j(v) be the first derivative of v**4/4 - 7*v**3/6 + v**2/4 + 5*v - 695. Factor j(a).
(a - 2)*(a + 1)*(2*a - 5)/2
Let w be 1750/(-147) - -12 - (-72456)/(-63). Let z be (16/340)/((-23)/w). Find a, given that z*a - 2*a**2 + 8/17*a**3 - 8/17 = 0.
1/4, 2
Let w = 864749 + -2579455/3. Factor -343/3*o**5 + 536390/3*o**2 - 154628/3*o + w - 29204/3*o**4 - 609007/3*o**3.
-(o + 43)**2*(7*o - 2)**3/3
Suppose 2/9*n**4 - 40/9*n - 8/3 - 2/9*n**2 + 2*n**3 - 2/9*n**5 = 0. Calculate n.
-2, -1, 2, 3
Let o be (12/(-66))/(756/891 - (-5)/(-3)). Factor 18 + o*v**2 + 4*v.
2*(v + 9)**2/9
Let i(a) be the second derivative of 65/6*a**3 + 1 - 30*a**2 - 17*a - 5/12*a**4. Factor i(b).
-5*(b - 12)*(b - 1)
Suppose -o - 4 = -4*o + y, 4 = 4*o - 2*y. Solve 407 - 2*c**5 + 2*c**3 + 0*c**5 - 2*c + o*c**3 - 405 - 4*c**2 + 2*c**4 = 0.
-1, 1
Let b(f) be the first derivative of 1/35*f**5 + 1/840*f**6 + 0*f**2 + 0*f - 28 + 28/3*f**3 + 2/7*f**4. Let l(y) be the third derivative of b(y). Factor l(n).
3*(n + 4)**2/7
Let c(v) be the second derivative of -5/96*v**4 + 7/160*v**5 + 2 + 3*v + 3/8*v**2 - 1/240*v**6 - 7/48*v**3. Determine y so that c(y) = 0.
-1, 1, 6
Let o(t) be the third derivative of t**4/6 - t**3 + 4*t**2. Let i be o(2). Factor -9*u**i + 6*u - 5*u + u + 3*u**4 - 3*u**3 + 6 + u.
3*(u - 2)*(u - 1)*(u + 1)**2
Let j(v) = 31*v - 242. Let y be j(8). Let s be y/35*260/78. Factor 0*o**2 + s*o**4 + 2/7*o**5 + 0*o**3 + 0*o + 0.
2*o**4*(o + 2)/7
Let x(p) = -99*p + 300. Let v be x(3). Let c(o) be the first derivative of -6/13*o + 13 - 2/13*o**2 + 2/39*o**v. Factor c(r).
2*(r - 3)*(r + 1)/13
Factor 2*i + 0*i**3 + 297 - 298 - 5*i**4 + 4*i**4 + 2*i**4 - 2*i**3.
(i - 1)**3*(i + 1)
Determine b, given that -1/5*b**4 - 9/5*b**3 + 24/5*b**2 + 116/5*b - 48 = 0.
-10, -4, 2, 3
Let f(u) be the first derivative of 25*u**4/36 - 865*u**3/27 - 349*u**2/18 - 35*u/9 + 12. Factor f(d).
(d - 35)*(5*d + 1)**2/9
Let c = -2/1045589 + 48097112/9410301. Factor -c*o - 44/9 - 2/9*o**2.
-2*(o + 1)*(o + 22)/9
Suppose 103*a + 16 = 101*a. Let k be a + 12/((-48)/(-34)). Factor -k*i - 1/2 + 1/2*i**3 + 1/2*i**2.
(i - 1)*(i + 1)**2/2
Let x(y) = 2*y**2 - y + 2. Let z(c) = -2*c**2 + 919*c - 914. Let s(d) = -x(d) + z(d). Factor s(i).
-4*(i - 229)*(i - 1)
Suppose -8*x + 54 = -74. Suppose 2*c - x = 68. Find f such that 2 + c*f**3 + 6*f**5 - 16*f**4 - 34*f**3 - 2 = 0.
0, 2/3, 2
Let w = -5776 - -5781. Let o(t) be the third derivative of -1/210*t**7 + 0*t + 0*t**3 - 1/120*t**6 + 1/336*t**8 + 1/60*t**w - 18*t**2 + 0 + 0*t**4. Factor o(d).
d**2*(d - 1)**2*(d + 1)
Suppose h + 2 = -2*p, 11 = 4*h - 2*p - 11. Let -446*a**h + 6*a**3 + 220*a**4 + 222*a**4 - 2*a**5 = 0. What is a?
-3, 0, 1
Suppose -3*y = -5*b + 10, 0 = 2*b - y + 3167 - 3172. Let a(z) be the second derivative of 0 + 0*z**2 + 1/10*z**b - 7*z - 2/3*z**4 + 4/3*z**3. Factor a(r).
2*r*(r - 2)**2
Let c be 96/230*1430/429. Solve 16/23*u**2 - c*u + 0 - 2/23*u**3 = 0.
0, 4
Find y, given that 3/7*y**2 - 500/7 - 748/7*y = 0.
-2/3, 250
Factor -1/4*w**2 - 129*w - 16641.
-(w + 258)**2/4
Suppose -5*s + 60 = 5*r, 4*s - 57 = -9*r + 4*r. Find a, given that 3/8*a**s - 41/8*a**2 + 49/8 + 133/8*a = 0.
-1/3, 7
Let l be 261/105 + (-110)/50. Factor -146/7*w**3 - l*w**5 - 4*w**4 + 0 - 48*w**2 - 288/7*w.
-2*w*(w + 3)**2*(w + 4)**2/7
Let u be 21*10*(-22)/(-77). Let g be (3*(-4)/u)/((-2)/4). Factor g*x**4 + 2/5*x**2 - 6/5*x - 4/5 + 6/5*x**3.
2*(x - 1)*(x + 1)**2*(x + 2)/5
What is i in 30*i**2 + 4*i**3 - 3*i**3 + 2*i**3 + 87*i + 262932 - 262872 = 0?
-5, -4, -1
Suppose 449*v + 14 - 7520*v**2 - 111*v**3 - 1169*v**3 + 506*v - 44 = 0. Calculate v.
-6, 1/16
Factor 1 - 1/9*a**2 - a + 1/9*a**3.
(a - 3)*(a - 1)*(a + 3)/9
Let q(w) be the first derivative of 98 + 2/3*w - 7/9*w**2 + 10/27*w**3 - 1/18*w**4. Factor q(t).
-2*(t - 3)*(t - 1)**2/9
Let j be (108/(-108))/((-10)/3 - -3). Let z(r) be the second derivative of 0 + 0*r**j - 1/12*r**4 + r + 1/2*r**2. Solve z(q) = 0 for q.
-1, 1
Suppose 0*l = -2*l - 8. Let t(h) = 5 - 499*h - 3*h**2 + 495*h - 2. Let k(a) = -3*a**2 - 5*a + 3. Let o(g) = l*k(g) + 5*t(g). Determine b, given that o(b) = 0.
-1, 1
Let t(m) = -2538*m + 17768. Let o be t(7). Factor 28/3*s - 4/3*s**4 + 0 - 28/3*s**3 + 4/3*s**o.
-4*s*(s - 1)*(s + 1)*(s + 7)/3
Determine j, given that 7328/11*j**2 - 400/11*j**3 - 46/11*j**4 + 2/11*j**5 + 51200/11 + 58880/11*j = 0.
-8, -1, 20
Let p = -17900667463487/22295 - -802900537. Let n = p + -2/4459. Factor n*a**3 - 14/5*a**2 + 16/5*a + 32/5.
2*(a - 4)**2*(a + 1)/5
Let s(o) = 18*o**4 + 9*o**3 - 30*o**2 - 8*o + 7. Let a(u) = 8*u**4 + 4*u**3 - 14*u**2 - 4*u + 3. Let g(f) = -7*a(f) + 3*s(f). Find h, given that g(h) = 0.
-2, -1/2, 0, 2
Let z(p) be the first derivative of -3 + 0*p**5 + 1/480*p**6 + 0*p + 0*p**3 + 0*p**4 - 17/2*p**2. Let n(j) be the second derivative of z(j). Factor n(b).
b**3/4
Let s(c) be the first derivative of -c**8/168 + 2*c**7/105 - c**6/180 - c**5/30 - 8*c**3 - 83. Let q(n) be the third derivative of s(n). What is f in q(f) = 0?
-2/5, 0, 1
Suppose 113/2*a + 1/2*a**4 - 77 + 57/2*a**2 - 17/2*a**3 = 0. Calculate a.
-2, 1, 7, 11
Factor 63/4 + 1/4*t**5 - 127/4*t + 1/2*t**2 - 65/4*t**4 + 63/2*t**3.
(t - 63)*(t - 1)**3*(t + 1)/4
Suppose 10*k - 43 + 33 = 0. Suppose -2*a + k + 3 = 0. Factor 0 + 0*p - 1/4*p**4 + 1/4*p**3 + 0*p**a.
-p**3*(p - 1)/4
Let w be 1 + (-7)/(-16)*2. Let u be 54/10*730/3504. Factor -3/8*f**3 - w*f**2 - u*f + 27/8.
-3*(f - 1)*(f + 3)**2/8
Find r, given that -918*r - 164272*r**4 - 246*r**3 + 1218*r**2 + 328546*r**4 - 52*r**3 - 164276*r**4 = 0.
-153, 0, 1, 3
Let j be (66/(-4))/11 - (-1691)/1126. Let w = 558/2815 + j. Factor -2/5 - w*o**2 - 3/5*o.
-(o + 1)*(o + 2)/5
Let i = 425825 - 425822. Factor 0 - 1/4*r + 1/8*r**i - 1/8*r**2.
r*(r - 2)*(r + 1)/8
Let v(s) = 55*s**3 + 573*s**2 + 4896*s + 52. Let r(l) = -42*l**3 - 430*l**2 - 3672*l - 40. Let u(w) = -13*r(w) - 10*v(w). Let u(g) = 0. What is g?
-18, -17, 0
Suppose 5396 = -5*z + 3*x + 1441, -3*z + 5*x = 2357. Let s = z + 794. Factor -1/3*v**5 + 2/3*v**3 + s*v**4 - 1/3*v + 0*v**2 + 0.
-v*(v - 1)**2*(v + 1)**2/3
Let f = -644 - -647. Let 0*y**3 + 48*y**2 - 3*y**5 + 8*y - y**f + 28*y + y**4 - 13*y**4 + 4*y**3 = 0. Calculate y.
-3, -2, -1, 0, 2
Let r be (-33)/(-44) + (2/6)/(2272/(-2556)). Determine j, given that 2910897/8 - r*j**3 + 891/8*j**2 - 88209/8*j = 0.
99
Let m be 13/6*(-315)/(-21) + -26. Let -5/2*s**4 - 1/2*s**5 - 5*s + m*s**2 + 0 + 3/2*s**3 = 0. What is s?
-5, -2, 0, 1
Let a = 35859 - 250962/7. Factor 0 - 3/7*o**2 - a*o.
-3*o*(o + 17)/7
Let k be (-171)/444*16/(-12). Let o = 321/481 - k. Factor 0*d + 0*d**2 - 2/13*d**4 + o*d**3 + 0.
-2*d**3*(d - 1)/13
Let d(v) be the third derivative of -v**5/12 + 45*v**4/2 - 1573*v**2. Factor d(j).
-5*j*(j - 108)
Let y = -283 - -285. Factor 78*p + 37*p**2 + 75 - 70*p**2 + 36*p**y.
3*(p + 1)*(p + 25)
Let q(y) = -10*y**3 - 46*y**2 - y + 38. Let t(s) = s**3 + 5*s**2 - 4. Let w(r) = -2*q(r) - 19*t(r). Factor w(u).
u*(u - 2)*(u - 1)
Let o(l) be the first derivative of l**4 + 100*l**3/3 - 52*l**2 - 3522. Let o(v) = 0. Calculate v.
-26, 0, 1
Let x(t) be the second derivative of t**4/42 + 16*t**3/21 + 15*t**2/7 - 3*t + 58. Solve x(z) = 0 for z.
-15, -1
Suppose 9*z + 8*z - 102 - 68 = 0. Let r(t) be the first derivative of -7/4*t**4 - 1/5*t**5 - 6*t**3 + 9 - 8*t - z*t**2. Factor r(b).
-(b + 1)*(b + 2)**3
Let z(t) be the second derivative of -2*t**6/75 + 7*t**5/25 - 2*t**4/5 - 970*t. Determine w so that z(w) = 0.
0, 1, 6
Let k(y) be the first derivative of y**3/12 + 6*y**2 + 144*y + 429. Factor k(b).
(b + 24)**2/4
Let x = -95 + 96. Let j be 7 - (10 - 5)*x. Factor 4/5*s - 2/5 - 2/5*s**j.
-2*(s - 1)**2/5
Factor 1/2*x**3 - 373/2*x + 44*x**2 - 230.
(x - 5)*(x + 1)*(x + 92)/2
Factor -52*h**3 - 60*h**2 + 73*h + 200 - 47*h + 109*h + 102*h**3 - 45*h**3.
5*(h - 8)*(h - 5)*(h + 1)
Let q(f) be the first derivative of f**7/1470 - f**6/315 - 32*f**5/105 - 80*f**4/21 + 191*f**3/3 + 159. Let z(i) be the third derivative of q(i). Factor z(l).
4*(l - 10)*(l + 4)**2/7
Let u be ((-2086)/(-1788))/(7/