*(y - 2)*(y - 1)*(y + 1)/5
Let o(v) be the second derivative of v**9/3024 + v**8/672 + v**7/504 + 11*v**4/6 - 14*v. Let l(z) be the third derivative of o(z). Factor l(u).
5*u**2*(u + 1)**2
Let h(x) be the third derivative of x**8/84 + 4*x**7/105 - 4*x**6/15 - 16*x**5/15 + 8*x**4/3 + 64*x**3/3 + 2*x**2 - 26. Suppose h(p) = 0. What is p?
-2, 2
Let m(b) = -b**2 + 9*b + 11. Let o = 72 - 62. Let i be m(o). Suppose -1/2*h**2 + i + 1/2*h = 0. What is h?
-1, 2
Let p be 4 + (-12345)/1700 + 6. Let a = p - -1/85. Factor 1 - 3/4*q**2 - a*q.
-(q + 4)*(3*q - 1)/4
Factor 32/7 - 2/7*s**3 + 4*s**2 + 62/7*s.
-2*(s - 16)*(s + 1)**2/7
Let f = -15 - -15. Suppose 20 + f = 4*c. Factor -3*i**3 - 21*i - 5 - 15*i**2 - 9 + c.
-3*(i + 1)**2*(i + 3)
Let y(s) be the third derivative of -s**7/1470 - s**6/840 + s**5/70 + 3*s**2 - s. Factor y(t).
-t**2*(t - 2)*(t + 3)/7
Let q be (-135)/(-180) + 2/24. Let u(r) be the first derivative of 15/2*r**4 - 4 + 5/2*r**2 + q*r**6 + 20/3*r**3 + 4*r**5 + 0*r. Solve u(y) = 0.
-1, 0
Let y(v) = v**3 - 15*v**2 + 37*v - 8. Let f be y(12). Factor -g**f - g**3 + 35*g - 4 - 33*g + 5 - g**3.
-(g - 1)*(g + 1)**3
Let z be 15 + -1 + -16 - (-5 - -1). Let t(c) be the first derivative of 8/7*c + 2/7*c**2 - 4/21*c**3 - z. Find d such that t(d) = 0.
-1, 2
Let x(y) = -6*y**3 + y**2 - 7*y + 6. Let w(k) = k**3 + k - 1. Let g(j) = -5*w(j) - x(j). Let r be g(1). Suppose -r + 1/2*n + 1/2*n**2 = 0. What is n?
-2, 1
Let i = 25374/5 + -25366/5. Factor i*k**2 + 0 + 16/5*k**3 + 0*k - 2*k**4.
-2*k**2*(k - 2)*(5*k + 2)/5
Let q(b) = b**3 - 7*b**2 + b - 1. Let m be q(5). Let a = m - -70. Determine j so that -48 - 4*j**2 + a*j - 9*j**2 + 10*j**2 = 0.
4
Factor 3*n**2 + 0*n**2 + 7*n**2 - 18*n**2 + 4*n**2 - 192*n.
-4*n*(n + 48)
Let f = 16 + -13. Let r(n) = -n + 5. Let g be r(f). Determine j so that -4 + 3*j**g + 18*j + 1 - 10*j**2 - 8*j**2 = 0.
1/5, 1
Let z(s) = -2*s**2 + 12*s + 22. Let l be z(7). Find w, given that 3*w**3 + 9*w**3 + 2*w**4 - 4*w**3 + l*w**2 = 0.
-2, 0
Let p(j) = j**3 - 3*j**2 + 4*j - 3. Suppose 2*s - 4 = -2*z, 2*z - 3*s + 3 = 7. Let n be p(z). Suppose -1 + 6*v - 5*v + v**2 + n = 0. What is v?
-1, 0
Let h be (430/(-84))/(-43)*3/((-15)/(-4)). Factor -4/21*c**2 + h*c + 2/21*c**3 + 0.
2*c*(c - 1)**2/21
Suppose -2*v - v = -54. Factor v*w**2 + 5*w**3 + 8*w**2 + 4*w**2 + 45*w.
5*w*(w + 3)**2
Suppose -9 = -d - 2*d. Find y such that 7*y**3 + 3*y**d - 4*y - 19*y**3 + 20*y**2 = 0.
0, 2/9, 2
Let r(h) be the third derivative of 1/12*h**5 + 0 + 0*h**3 + 25/12*h**4 + 0*h - 32*h**2. Factor r(l).
5*l*(l + 10)
Let p be (-5061)/616*(-4)/78*1. Let x = p + -3/52. Factor 2/11 - 2/11*w**5 + 4/11*w**3 - 2/11*w - x*w**2 + 2/11*w**4.
-2*(w - 1)**3*(w + 1)**2/11
Factor x**4 + 2*x**5 - 8*x**4 + 4*x**4 - 5*x**5 + 6*x**3.
-3*x**3*(x - 1)*(x + 2)
Let k(u) = -7*u**2 + 91*u - 487. Let g(s) = -6*s**2 + 90*s - 486. Let y be 18/(-24)*(-2 - -6). Let b(a) = y*g(a) + 2*k(a). Solve b(f) = 0.
11
Let k(t) = -t**2 - 188*t - 1620. Let n(c) = -2*c**2 - 186*c - 1620. Let a(y) = 3*k(y) - 4*n(y). Factor a(r).
5*(r + 18)**2
Let u be 49/5 + 54 + -59. Let y(q) be the first derivative of 32/15*q**3 - u*q**2 + 4 + 18/5*q. Find n, given that y(n) = 0.
3/4
Let d be -5 - (2 - 4728/18). Let s = -253 + d. Let s*c + 16/3 + 2*c**3 - 20/3*c**2 = 0. Calculate c.
-2/3, 2
Suppose -u - x = 0, -2*x + 59 = 4*u + 53. Solve 0 - 3/4*d**2 + 0*d**u + 1/4*d**4 - 1/2*d = 0.
-1, 0, 2
Let j = 1991 + -1386. Factor 12*o**2 + j - 76*o - 7*o**2 - 34*o.
5*(o - 11)**2
Let w be 224/(-12)*(-759)/8855. Factor -2 + w*v + 2/5*v**2.
2*(v - 1)*(v + 5)/5
Let j be -4 - 13/((-39)/30). Suppose 0 = -2*n - 6 + j. Factor 1/4*v + n - 1/4*v**2.
-v*(v - 1)/4
Let p(l) be the first derivative of l**3/12 - 29*l**2/8 + 7*l + 279. Find w such that p(w) = 0.
1, 28
Let b(k) be the first derivative of 5*k**3/3 + 345*k**2 + 23805*k - 287. Determine h, given that b(h) = 0.
-69
Suppose -77 - 71 = -4*s. Find c such that -6*c + 33*c**2 - c + 3*c - s*c**2 = 0.
-1, 0
Let a(k) = k**2 - 3*k + 1. Let r be a(4). Let z = r - 2. Factor 5*u**2 - z*u**3 - u**3 - u**2.
-4*u**2*(u - 1)
Let d = -51 - -107. Suppose 2 = l, -s = -3*s + 5*l + d. What is w in s*w**2 + 10 + 16*w + 3*w**3 - 21*w**2 - 4 - w = 0?
-2, -1
Let d(h) be the first derivative of -24 - 8/3*h - 2/9*h**3 - 4/3*h**2. Solve d(g) = 0.
-2
Let k(m) be the second derivative of 0*m**3 + 0*m**2 - 8*m + 1/40*m**5 + 1/24*m**4 + 0. Factor k(l).
l**2*(l + 1)/2
Find j, given that -32/3 + 112/3*j + 2*j**3 - 50/3*j**2 = 0.
1/3, 4
Let k(d) be the third derivative of 0 + 1/15*d**3 + 0*d + 9*d**2 + 1/150*d**5 - 1/30*d**4. Factor k(r).
2*(r - 1)**2/5
Suppose 0 = 9*x - 2 - 79. Let z(o) = -6*o**2 + 12. Let m(k) = 13*k**2 - 25. Let n(s) = x*z(s) + 4*m(s). Factor n(c).
-2*(c - 2)*(c + 2)
Let s = 17472 + -401848/23. Factor 38/23*i**3 + s + 2/23*i**5 + 50/23*i**2 + 32/23*i + 14/23*i**4.
2*(i + 1)**3*(i + 2)**2/23
Factor 0*t**2 + 5*t**5 - 27*t**2 + 35*t**4 + 45*t**3 - 53*t**2 - 5*t**3.
5*t**2*(t - 1)*(t + 4)**2
Let v(k) be the third derivative of k**8/1176 - k**7/735 - k**6/42 + k**5/21 + 3*k**4/28 - 3*k**3/7 + 76*k**2. Find y such that v(y) = 0.
-3, -1, 1, 3
Let l = 187/7065 + -2/471. Let f(j) be the second derivative of l*j**6 + 0*j**3 + 1/3*j**2 + 0*j**5 + 0 - 1/9*j**4 + j. Solve f(a) = 0 for a.
-1, 1
Let q be -9 + 61 + (-1)/(2/(-4)). Factor 2*c**3 - 13*c**2 - 2*c**2 + 33*c**2 + q*c + 54.
2*(c + 3)**3
Let f(c) be the first derivative of -2*c**2 + 0*c - 1/4*c**4 + 4/3*c**3 + 1. Let f(j) = 0. Calculate j.
0, 2
Let f(l) = 13*l**3 + 11*l**2 - 125*l + 10. Let o(z) = -6*z**3 - 6*z**2 + 62*z - 4. Let u(t) = 2*f(t) + 5*o(t). Factor u(w).
-4*w*(w - 3)*(w + 5)
Let i = 403/70 - 5/14. Suppose -5*l + 35 = -4*t + 70, 0 = 5*t + l - 22. Let 3*v**4 - 33/5*v**3 + 9/5*v**t - 12/5 + 48/5*v - i*v**2 = 0. Calculate v.
-2, 1/3, 1
Let p = -2/247 - -1243/988. Let b be ((-160)/60)/((-4)/3). Factor 1/4*w**4 - w**3 + 0 - 1/2*w + p*w**b.
w*(w - 2)*(w - 1)**2/4
Let g(y) be the third derivative of -y**6/80 + 53*y**5/120 + 5*y**4/12 - 3*y**3 + 52*y**2. Factor g(w).
-(w - 18)*(w + 1)*(3*w - 2)/2
Let g(h) be the second derivative of 26*h + 0*h**3 + 0 + 0*h**2 + 1/30*h**5 - 1/6*h**4. Factor g(d).
2*d**2*(d - 3)/3
Let r(a) be the second derivative of -20/3*a**3 + 1/3*a**4 + 20*a + 50*a**2 + 0. Solve r(s) = 0.
5
Let v(s) be the third derivative of -s**9/3024 - s**8/1344 + s**7/504 + s**6/144 + 3*s**4/4 + 46*s**2. Let a(b) be the second derivative of v(b). Factor a(d).
-5*d*(d - 1)*(d + 1)**2
Suppose 0 = 13*y + y - 42. Let x(r) be the first derivative of y + 0*r + 1/4*r**2 - 1/12*r**3 - 1/16*r**4. Let x(c) = 0. What is c?
-2, 0, 1
Suppose 18*u - 23*u + 28 = 4*h, -3*h + 10 = u. Let l(f) be the first derivative of 3 + 2/7*f - 1/28*f**4 - 5/14*f**h + 4/21*f**3. Determine o so that l(o) = 0.
1, 2
Let r be 8/(-12)*6/2. Let z be (0 - r/(-4))*-6. Find q, given that -3*q**z + 4*q**5 + 4*q**4 + 6*q**3 - 3*q**3 = 0.
-1, 0
Let o(z) = -7*z**3 - 7*z**2 + 10*z + 13. Let v(d) = 48*d**3 + 48*d**2 - 72*d - 92. Let j(i) = 20*o(i) + 3*v(i). Suppose j(q) = 0. What is q?
-2, -1, 2
Let i be (-3)/(-18) - (-955)/30. Let r be (-8)/2*(-40)/i. Solve -8*h**2 - 12*h**2 + 16*h**4 + 0 + 6*h**3 + 2*h**3 + 2*h + 4 - 10*h**r = 0.
-1, -2/5, 1
What is f in 525/4*f**5 - 2145/4*f**4 - 93/2*f**3 + 411*f**2 - 186*f + 24 = 0?
-1, 2/7, 2/5, 4
Let j be (-255)/68 + 2 + 2. Let n(u) be the third derivative of 0 + 1/20*u**5 + 1/2*u**3 + 0*u + 3*u**2 + j*u**4. Solve n(x) = 0.
-1
Let i(k) be the first derivative of -7*k**4 + 28/9*k**2 + 26/27*k**3 - 2 + 18/5*k**5 + 8/9*k. Factor i(p).
2*(p - 1)**2*(9*p + 2)**2/9
Let d(x) = -8*x**2 + x**2 - 2*x - x + x**2. Let j(b) = b**2 + 4*b - 3. Let y be j(-4). Let k(v) = 5*v**2 + 3*v. Let s(u) = y*k(u) - 2*d(u). Factor s(z).
-3*z*(z + 1)
Suppose -699 = 19*h - 737. Factor -1/2*q**h - 1/2*q + 0.
-q*(q + 1)/2
Let r(x) be the second derivative of x**6/5 - 27*x**5/10 + 61*x**4/8 - 9*x**3 + 21*x**2/4 - 728*x. Let r(j) = 0. Calculate j.
1/2, 1, 7
Let w(p) = -p**2 - 1. Let f(h) be the first derivative of -8*h**3/3 - 3*h**2 - 15*h - 5. Let v(y) = -3*f(y) + 21*w(y). Factor v(r).
3*(r + 2)*(r + 4)
Determine d, given that 144 - 3*d**3 - 153 + 21*d - 15*d**2 + 6*d**3 = 0.
1, 3
Suppose 2*g + 19 = 5*r, r - 15*g + 5 = -19*g. Let o(c) be the first derivative of -1/15*c**r - 5*c + 7 + c**2. Determ