*4 + y*n**3. Let d(b) = 0. Calculate b.
-1, 0, 1
Let h(y) = 11*y**3 - 121*y**2 + 432*y - 413. Let r(p) = 5*p**3 - 61*p**2 + 216*p - 206. Let f(o) = 2*h(o) - 5*r(o). Factor f(t).
-3*(t - 17)*(t - 2)**2
Let h(p) = 13*p**4 - 52*p**3 + 15*p**2 + 60*p - 18. Let a(c) = -38*c**4 + 157*c**3 - 45*c**2 - 180*c + 53. Let m(j) = 2*a(j) + 7*h(j). Factor m(u).
5*(u - 2)**2*(u + 1)*(3*u - 1)
Let b(q) be the third derivative of 5/2*q**3 + 5/24*q**4 - 1/6*q**5 + 14*q**2 + 0*q + 0. Factor b(v).
-5*(v + 1)*(2*v - 3)
Factor 20/7 - 8/7*j**3 - 94/7*j + 58/7*j**2.
-2*(j - 5)*(j - 2)*(4*j - 1)/7
Suppose -5*r - 4*z - 18 = 0, -32*r = -31*r - 2*z - 16. Suppose -2/5*f**r + 0 - 4/5*f = 0. What is f?
-2, 0
Let y(b) be the third derivative of 5/112*b**8 + 0*b**3 + 0*b**4 - 1/12*b**6 + 1/42*b**7 + 0*b**5 + 24*b**2 + 0*b + 0. Factor y(s).
5*s**3*(s + 1)*(3*s - 2)
Factor 19*r - 56*r**2 - 14*r**2 + 5*r**3 + 46*r.
5*r*(r - 13)*(r - 1)
Let d = 39 + -34. Let u(f) be the third derivative of 0*f + 2/9*f**3 - 2*f**2 - 1/36*f**4 - 1/90*f**d + 0. Let u(i) = 0. What is i?
-2, 1
Factor 22*z + 15 - 27*z + 3*z**2 - 13*z.
3*(z - 5)*(z - 1)
Let k = -5 - -6. Find o such that 0 + 15*o - 3*o**3 + 11 + 3*o**2 + k - 3 = 0.
-1, 3
Let y(t) be the third derivative of -3/14*t**4 + 2/21*t**5 + 0 - 46*t**2 + 0*t + 4/21*t**3 - 1/70*t**6. What is u in y(u) = 0?
1/3, 1, 2
Let a(q) be the second derivative of -49*q**5/130 - 2177*q**4/78 + 1256*q**3/39 - 180*q**2/13 - 115*q. Find c, given that a(c) = 0.
-45, 2/7
Let l(u) be the first derivative of -u**6/1620 - u**5/540 + u**4/54 + u**3/3 + 5. Let f(p) be the third derivative of l(p). Find a such that f(a) = 0.
-2, 1
Let v(n) be the first derivative of -2/5*n**4 + 2/5*n**2 - 2/3*n**3 + 6/5*n - 30. Factor v(i).
-2*(i + 1)**2*(4*i - 3)/5
Factor 0 + 2/5*p**3 - 56/5*p**2 - 58/5*p.
2*p*(p - 29)*(p + 1)/5
Let t(k) be the second derivative of 2/3*k**3 + 0 + 5/21*k**4 - 4/35*k**5 - 4/7*k**2 - 45*k. Find c, given that t(c) = 0.
-1, 1/4, 2
Let n(c) be the first derivative of 2*c**3/9 + 10*c**2 + 58*c/3 + 306. Factor n(u).
2*(u + 1)*(u + 29)/3
Let g(q) be the first derivative of -1 + 0*q**5 + 0*q**4 - 3*q**3 + 1/1680*q**7 + 0*q**6 + 0*q**2 + 0*q. Let x(s) be the third derivative of g(s). Factor x(n).
n**3/2
Factor -3*x**4 + 33*x**3 + 3*x**3 + 103*x**2 - 163*x**2.
-3*x**2*(x - 10)*(x - 2)
Let o(w) be the first derivative of -3*w**5/80 - 3*w**4/16 + 3*w**2/2 - 2*w + 45. Let l(f) be the first derivative of o(f). Determine t so that l(t) = 0.
-2, 1
Let k(r) be the second derivative of 0 - 29*r + 1/210*r**6 + 1/140*r**5 - 1/7*r**2 - 1/28*r**4 - 5/42*r**3. Find f, given that k(f) = 0.
-1, 2
Let -426*f**2 - 361945 - 59589 - 1416*f - 59076*f - f**3 - 2441754 = 0. What is f?
-142
Suppose 191*u = -93*u + 1420. Determine z, given that 0*z**3 + 1/5*z**4 + 0 + 0*z + 0*z**2 + 1/5*z**u = 0.
-1, 0
Let i = 15 - 74/5. Let z be (-9 - -4)*3*12/(-150). Factor i*f**2 + 9/5 - z*f.
(f - 3)**2/5
Let b(z) = z**3 - 10*z**2 + 2*z - 18. Let j be b(10). Let c be (-4)/2 - (-5 + 3). Suppose 0*r - 1/3*r**j - 1/3*r**3 + c = 0. Calculate r.
-1, 0
Let w(r) be the third derivative of -r**5/100 - r**4/4 + 11*r**3/10 - 102*r**2. Factor w(c).
-3*(c - 1)*(c + 11)/5
Let l(v) be the third derivative of v**6/120 - v**5/4 - 2*v**4/3 - 52*v**2. Factor l(n).
n*(n - 16)*(n + 1)
Let -63/5*s - 54/5 + 3*s**3 + 3/5*s**4 + 3/5*s**2 = 0. Calculate s.
-3, -1, 2
Suppose 1 = 5*d - 9. What is k in 3*k**4 + d + 2 + k**2 - 3*k**3 + k**5 + 2*k**3 - 8*k**2 = 0?
-2, -1, 1
Let s = 66 + -32. Suppose 30*h = s*h - 20. What is l in -2 - 25/2*l**2 - 19/2*l**3 - 7/2*l**4 - 8*l - 1/2*l**h = 0?
-2, -1
Let y be (-3)/(72/6) - -1. Let o(u) be the first derivative of 0*u**3 - 5 + 3/8*u**4 + 0*u - y*u**2. Factor o(i).
3*i*(i - 1)*(i + 1)/2
Suppose 0 = -4*v + 588 - 28. Let g = v + -416/3. Factor 6*f - g - 14/3*f**2.
-2*(f - 1)*(7*f - 2)/3
Let i(q) be the first derivative of -1/10*q**5 - 17/32*q**4 - 18 - 5/6*q**3 - 1/4*q**2 + 0*q. Factor i(t).
-t*(t + 2)**2*(4*t + 1)/8
Let o(u) be the second derivative of u**6/180 + 2*u**5/15 + 4*u**4/3 - 11*u**3/2 - 4*u. Let p(g) be the second derivative of o(g). Factor p(n).
2*(n + 4)**2
Let z(x) be the second derivative of -2/3*x**3 + 1/5*x**5 - 3*x**2 + 0 + 49*x - 1/15*x**6 + 2/3*x**4. Factor z(t).
-2*(t - 3)*(t - 1)*(t + 1)**2
Let s be (-3)/(6/5)*-6. Let u(w) be the first derivative of 1 + 2 + w**3 + 9*w + 21*w**2 - s*w**2. Find t, given that u(t) = 0.
-3, -1
Suppose 0 = -f - 0*f. Suppose 2*l + l = f. Factor -2*s + s**2 - s + l*s**2.
s*(s - 3)
Let k(d) be the second derivative of -4*d**6/15 + 13*d**5/10 - 11*d**4/6 + 2*d**3/3 - 136*d. Factor k(l).
-2*l*(l - 2)*(l - 1)*(4*l - 1)
Let h(f) = -3*f + 13. Suppose -5*m + 15 = -0*m. Let n be h(m). Solve -2/7*k**3 + 0*k**2 + 2/7*k - 1/7 + 1/7*k**n = 0 for k.
-1, 1
Let s(q) = -q**3 - 12*q**2 - 12*q - 9. Let w be s(-11). Let -4*p**w - 28*p - 12 + 4*p - 8*p**2 + 3*p**4 + 3*p**2 + 6*p**3 = 0. Calculate p.
-2, -1, 2
Let h(y) = 15*y + 4*y + 177 - 2*y + 12*y. Let u be h(-6). Factor -2/3*s + 5/3*s**2 + 1/3*s**5 - 1/3*s**4 - s**u + 0.
s*(s - 1)**3*(s + 2)/3
Let g be 0/(5*-2*(-6)/(-30)). Let z(h) be the third derivative of 1/330*h**5 + 0*h**3 + 0*h + g*h**4 - 2*h**2 + 0. Factor z(j).
2*j**2/11
Suppose 426 - 402 = 4*y. Let b(m) be the first derivative of 1/9*m**y + 2/15*m**5 - 10/9*m**3 + 0*m + 2 - 1/2*m**4 - 2/3*m**2. Suppose b(k) = 0. What is k?
-1, 0, 2
Let f be 21/(-126)*32/(-6). Let b(i) be the second derivative of 0*i**2 + f*i**3 + i**5 + 0 - 1/5*i**6 - i - 14/9*i**4. Factor b(g).
-2*g*(g - 2)*(3*g - 2)**2/3
Let b be (12/15 - (-36)/105)*1/4. Let 6/7 + 4/7*l - b*l**2 = 0. What is l?
-1, 3
Let c(b) be the third derivative of -b**8/2016 + b**6/240 - b**5/180 + b**2 - 4*b. Factor c(d).
-d**2*(d - 1)**2*(d + 2)/6
Let o = -62 + 66. Let i(r) be the second derivative of 0 - 5/3*r**3 + 1/10*r**5 - 1/2*r**o + 1/15*r**6 - 4*r - 2*r**2. Factor i(b).
2*(b - 2)*(b + 1)**3
Let w be (-4)/((-140)/23645) + -4. Let u = -667 + w. Suppose -2/7*y**2 + 16/7*y - u = 0. What is y?
4
Let r be 475/57*4/20. Suppose 10/3*p**2 - r*p**3 + 1/3*p**5 - 2/3*p**4 - 8/3 + 4/3*p = 0. Calculate p.
-2, -1, 1, 2
Let i = -13 - -19. Let f(y) = -4 + 6*y**3 + 0 - 2*y**3 - i*y**2 + 6*y**4. Let h(l) = 5*l**4 + 3*l**3 - 5*l**2 - 3. Let t(k) = -3*f(k) + 4*h(k). Factor t(m).
2*m**2*(m - 1)*(m + 1)
Let z(i) be the third derivative of -i**5/540 - 5*i**4/216 - 2*i**3/27 - 15*i**2 + i. Solve z(x) = 0.
-4, -1
Let j be (-50)/(-72) - 1096/2466. Factor -1/3*v**2 - 1/12*v**3 + 0 - j*v.
-v*(v + 1)*(v + 3)/12
Let r(v) be the second derivative of v**9/35280 + v**8/15680 - v**7/5880 - v**6/1680 + 3*v**4/4 - 6*v. Let j(a) be the third derivative of r(a). Factor j(d).
3*d*(d - 1)*(d + 1)**2/7
Let z(u) = u + 14. Let x(j) = -j - 13. Let r(q) = -7*x(q) - 6*z(q). Let t be r(-4). Factor -2*v + 4*v + 2 + 5*v - v**t - 4*v.
-(v - 2)*(v + 1)**2
Let t(u) be the third derivative of u**5/90 + u**4/6 + u**3 - 172*u**2. Factor t(i).
2*(i + 3)**2/3
Let p(v) be the second derivative of -v**6/120 + v**4/8 + v**3/3 - v**2/2 - 14*v. Let r(h) be the first derivative of p(h). Factor r(y).
-(y - 2)*(y + 1)**2
Let w(o) be the third derivative of 0 + 4*o**2 - 1/15*o**5 + 0*o**4 + 1/30*o**6 + 0*o**3 + 0*o. Factor w(h).
4*h**2*(h - 1)
Let k(r) = -20*r**3 - r**2 + 2*r - 1. Let w be k(2). Let b be (-4)/(-42) + (-92)/w. Factor 32/3 - 16/3*n + b*n**2.
2*(n - 4)**2/3
Suppose 6*b = 18*b - 12. Let u be -7 + 4 - (-6 + b). What is g in 2/7 + 2/7*g**u + 4/7*g = 0?
-1
Let h(d) be the first derivative of 0*d - 30 + 4/5*d**2 + 8/15*d**3 + 1/10*d**4. What is t in h(t) = 0?
-2, 0
Let b(j) = -2*j. Let y be b(2). Let z(i) = -3*i + 13. Let a be z(y). Factor -7/2*o**5 - 15/2*o + 1 - a*o**3 + 20*o**2 + 15*o**4.
-(o - 1)**4*(7*o - 2)/2
Suppose 7*k = 2*k. Suppose 9*v - 5*v = k. Solve -1 - 3*c + v*c + 1 - c**2 - 2 = 0 for c.
-2, -1
Suppose 0 = -13*n + 11 + 2. Let r be 20/8 + n + -3. Suppose k + r*k**2 + 1/2 = 0. Calculate k.
-1
Factor -j**4 + 41*j + 9*j - 117*j**3 - 4*j**4 - 100*j**3 + 167*j**3 + 5*j**2.
-5*j*(j - 1)*(j + 1)*(j + 10)
Let l = 64 + -61. Suppose 2*u + u - 12 = 0. Suppose 143*n**l - 212*n**u - 40*n**2 - 8 + 4*n + 114*n**5 + 8 - 9*n**5 = 0. What is n?
0, 2/7, 1/3, 2/5, 1
Let i(o) be the second derivative of -o**5/50 - o**4/3 + 23*o**3/15 - 12*o**2/5 + 147*o. Factor 