p**3 - a*p**2 - 1/2*p + 1/2*p**4 + 1 = 0.
-2, -1, 1
Let m = -18 - -34. Factor -24 + 4*o**2 + 13*o - 33*o + m*o.
4*(o - 3)*(o + 2)
Let x(l) be the third derivative of l**5/60 - 6*l**4 - 574*l**2. Factor x(h).
h*(h - 144)
Solve -286*n**2 - 96*n - 160*n**3 + 9*n**4 + 0 - 34*n**4 + 12 - 21 = 0.
-3, -1/5
Let q(p) be the third derivative of 1369*p**5/15 + 74*p**4 + 24*p**3 - 21*p**2. Find b, given that q(b) = 0.
-6/37
Let j(a) = -a**3 - 6*a**3 - a**2 + 9*a**3. Let t be j(1). Factor -b**5 - 3*b**3 + b**4 + t - 2*b**2 - b + 5*b**3 + 0*b.
-(b - 1)**3*(b + 1)**2
Let s(f) be the second derivative of f**6/20 + 63*f**5/10 + 294*f**4 + 5488*f**3 + 4*f + 7. Factor s(p).
3*p*(p + 28)**3/2
Let v(n) be the third derivative of 21*n**2 + 1/8*n**3 + 1/240*n**5 + 0*n + 1/24*n**4 + 0. Factor v(x).
(x + 1)*(x + 3)/4
Let t(f) be the third derivative of 0 - 8/3*f**3 + 1/105*f**7 + 0*f - 1/15*f**5 - 1/20*f**6 + 18*f**2 + f**4. Factor t(u).
2*(u - 2)**2*(u - 1)*(u + 2)
Let n be (-2 + 1 + 1)/4. Let f(v) be the third derivative of -v**2 + 0*v + 0*v**3 + n - 1/8*v**4 - 1/20*v**5. Find i such that f(i) = 0.
-1, 0
Let q(w) = -3*w**2 + 58*w - 731. Let m(s) = 7*s**2 - 118*s + 1463. Let u(z) = -6*m(z) - 15*q(z). Let u(g) = 0. Calculate g.
27
Let g(u) be the first derivative of -u**4/2 - 16*u**3 - 45*u**2 - 44*u + 425. Factor g(t).
-2*(t + 1)**2*(t + 22)
Let s(m) = m**2 - 13*m + 51. Let w be s(6). Let v be 33/22 - w/(-6). Let 1/2*u**v - 1/2*u**2 - u + 0 = 0. What is u?
-1, 0, 2
Let w(r) be the second derivative of r**4/18 + 4*r**3 + 68*r**2/3 - 218*r. Suppose w(q) = 0. What is q?
-34, -2
Let c(t) = t**2 - t - 4. Let j be c(3). Let g = 315 + -315. Find v, given that 2*v**3 - 2*v**2 - 2 + 2 + j*v**4 - 2*v**5 + g = 0.
-1, 0, 1
Let j = 559/1030 + -22/515. Suppose j + 1/2*i**2 + i = 0. Calculate i.
-1
Let w be (-14)/21*-1*6. Suppose 4 = 3*q - 5*s, 4*s - w = q + s. Determine b, given that 8 - 4*b**2 + q*b - 2*b**2 + 5*b**2 + 3*b**2 = 0.
-2
Let r(s) = s**2 + s - 1. Let u(m) = 15*m**2 - 15*m - 10. Let l(f) = -8*f**2 + 7*f + 5. Let b(y) = -5*l(y) - 2*u(y). Let i(c) = b(c) - 5*r(c). Factor i(n).
5*n*(n - 2)
Let y(l) be the second derivative of l**7/28 - 31*l**6/60 - 59*l**5/40 - 13*l**4/24 + l**3 + 471*l. Determine h so that y(h) = 0.
-1, 0, 1/3, 12
Let k(l) be the first derivative of -4 + 5/3*l**3 + 0*l - 1/252*l**6 + 1/42*l**4 + 1/140*l**5 + 0*l**2. Let u(j) be the third derivative of k(j). Factor u(i).
-2*(i - 1)*(5*i + 2)/7
Suppose -28*l**4 - 33 + 64*l**2 + 80*l + 2*l**2 - 14*l**2 + 1 + 68*l**2 - 20*l**3 = 0. What is l?
-2, -1, 2/7, 2
Let u be 48/21 - 4/2. Let y be 0*(-5)/(-3 - 2)*-1. Factor 0 + 2/7*g**2 + u*g**3 - 2/7*g**4 + y*g - 2/7*g**5.
-2*g**2*(g - 1)*(g + 1)**2/7
Let n(h) be the second derivative of h**5/20 - 23*h**4/12 - 35*h**3/2 - 81*h**2/2 + 693*h. Determine y so that n(y) = 0.
-3, -1, 27
Let m(q) be the second derivative of -10*q**6/3 - 34*q**5 - 124*q**4/3 - 16*q**3 + 133*q. Determine g so that m(g) = 0.
-6, -2/5, 0
Let r(i) be the second derivative of 0 + 0*i**3 - 1/300*i**5 + 1/40*i**4 - 6*i + 4*i**2. Let x(n) be the first derivative of r(n). Factor x(s).
-s*(s - 3)/5
Let x(m) be the second derivative of m**5/10 + 7*m**4/6 - 17*m**3/3 + 9*m**2 - 79*m. Let x(b) = 0. Calculate b.
-9, 1
Factor -14/13*c + 2/13*c**3 + 12/13 + 0*c**2.
2*(c - 2)*(c - 1)*(c + 3)/13
Let y(q) = 2*q**3 + q**2 - 5*q + 1. Let r(m) = 15*m**3 + 15*m**2 - 54*m + 17. Let u(g) = -4*r(g) + 28*y(g). Factor u(a).
-4*(a - 1)**2*(a + 10)
Suppose -c - 1 - 1 = -f, -4*f = -3*c - 6. Suppose i + h - 5 = 0, 0 = 5*i - f*h + 2*h - 22. Factor -8*p**3 - 4*p**i + 4*p**2 + 4*p**4 + 0*p**2 + 4*p**4.
4*p**2*(p - 1)**2
Let u(h) = -h**3 + 5*h**2 - 5*h - 3. Suppose 3*t + 16 = 25. Let l be u(t). Factor l*b**2 - 2/9*b**3 + 2/9*b + 0.
-2*b*(b - 1)*(b + 1)/9
Let l(i) = -6*i**2 + i + 10. Let m(w) = 7*w**2 - w - 8. Let y(c) = 3*l(c) + 4*m(c). Factor y(u).
(2*u - 1)*(5*u + 2)
Let f = -47171/7 + 6741. Factor -f*k**2 + 2/7*k**5 - 4/7 - 2*k + 4/7*k**4 - 4/7*k**3.
2*(k - 2)*(k + 1)**4/7
Let w(u) = -108*u**4 + 218*u**3 - 146*u**2 + 38*u - 6. Let q(c) = -540*c**4 + 1091*c**3 - 731*c**2 + 189*c - 31. Let g(n) = -2*q(n) + 11*w(n). Factor g(y).
-4*(y - 1)*(3*y - 1)**3
Find u, given that 9/4 - 1/8*u**3 - 37/8*u + 5/2*u**2 = 0.
1, 18
Let o = 225 - 1572/7. Let i(m) be the first derivative of 0*m - 2 + o*m**3 + 3/7*m**2. Factor i(q).
3*q*(3*q + 2)/7
Let u(x) be the second derivative of 0 + 5/2*x**3 + 0*x**2 - 1/2*x**5 - 7*x - 5/12*x**4. Factor u(r).
-5*r*(r - 1)*(2*r + 3)
Let w(r) = -r**3 - 19*r**2 + 19*r - 24. Let f be w(-20). Let a be (-15)/12 + (f - -7). Factor a*q + 1/2 + 2*q**2 + 3/4*q**3.
(q + 1)**2*(3*q + 2)/4
Let i(v) be the third derivative of v**5/15 + v**4 + 16*v**3/3 - 3*v**2 + 181*v. What is p in i(p) = 0?
-4, -2
Let o(i) be the second derivative of i**6/20 - 21*i**5/40 + i**4 + 4*i**3 + 79*i. Factor o(h).
3*h*(h - 4)**2*(h + 1)/2
Let q(p) be the first derivative of -2*p**5/55 + 17*p**4/22 + 160*p**3/33 + 84*p**2/11 - 302. What is o in q(o) = 0?
-2, 0, 21
Let h = 126 - 123. Let w(j) be the first derivative of 1/5*j**5 + 0*j + j**4 + 0*j**2 - 1/3*j**h - 2/3*j**6 + 3. Suppose w(n) = 0. What is n?
-1, 0, 1/4, 1
Determine f, given that -4/7*f - 6/7 + 16/7*f**2 = 0.
-1/2, 3/4
Let j = -9/115 - -367/3220. Let c(h) be the second derivative of 3/7*h**2 + 4*h + 1/14*h**3 + 0 - j*h**4. Factor c(a).
-3*(a - 2)*(a + 1)/7
Suppose -5*x - 9 + 7 = -4*c, c = -4*x + 11. Suppose 0 = -2*p - 2*u + 2, 1 - 8 = -4*p - 3*u. Suppose s**2 - 2/3*s + 5/3*s**3 + 0 - x*s**p = 0. Calculate s.
-2/3, 0, 1/2, 1
Let n = -1/10617 - -84955/201723. Solve 2/19*c**2 + 8/19 + n*c = 0 for c.
-2
Let c = -3 + 7. Suppose 3*s = 4*l - 10, 2*s - 5*l = -c*l. Factor -7*j**2 + 4*j**2 + 5*j**s.
2*j**2
Let i = 9 - 5. Let k(c) = 6*c**3. Let j(q) = -7*q**3 - q. Let m(l) = i*k(l) + 3*j(l). Factor m(n).
3*n*(n - 1)*(n + 1)
Suppose -5*x + 3*x - 4*y = 44, -3*x - 5*y = 62. Let b(d) = -34*d**2 + 74*d + 80. Let r(i) = 7*i**2 - 15*i - 16. Let n(u) = x*r(u) - 3*b(u). Solve n(t) = 0.
-1, 4
Let o(s) be the first derivative of 0*s**2 - 29 + 2/5*s**4 + 0*s + 4/25*s**5 + 0*s**3. Factor o(h).
4*h**3*(h + 2)/5
Factor 121*r**2 + 9/4 + 33*r.
(22*r + 3)**2/4
Let c be 1 + (-78)/(-79) - 2. Let y = c + 82/237. Suppose 4/3*x - x**2 - y = 0. Calculate x.
1/3, 1
Let i be 0/((-14)/2)*-7*(-1)/35. Factor 0*y + 1/6*y**4 + 1/6*y**2 - 1/3*y**3 + i.
y**2*(y - 1)**2/6
Let g = 44 + 10. Let h = g - 52. Factor -9/5*v**h + 27/5*v + 1/5*v**3 - 27/5.
(v - 3)**3/5
Let l = 132 + -117. Let i be l/(-50)*32/(-12). Find n, given that -4/5*n + 31/5*n**3 - i - 81/5*n**4 + 49/5*n**2 - 63/5*n**5 = 0.
-1, -2/7, 1/3, 2/3
Suppose -3*z + 28 = -4*q, -z + 3*q = -0*q - 16. Factor -7*i - 3*i**2 + 2*i + 5*i + 3*i**z - 3*i**3 + 3*i.
3*i*(i - 1)**2*(i + 1)
Let c(f) be the third derivative of -f**10/105840 + f**9/17640 - f**8/7840 + f**7/8820 + f**4/8 - f**2. Let s(b) be the second derivative of c(b). Factor s(p).
-2*p**2*(p - 1)**3/7
Let b(g) be the first derivative of 5*g**3/3 - 100*g**2 - 172. Factor b(c).
5*c*(c - 40)
Let o be ((-18)/12)/((-145)/325 + 16/(-104)). Let q = 244 - 971/4. Let 15/4*f - q*f**2 - o = 0. Calculate f.
1, 2
Let w = -364 - -370. Let u(b) be the third derivative of -7*b**2 - 1/70*b**7 - 1/336*b**8 + 0*b + 1/30*b**5 + 1/6*b**3 + 0 + 1/8*b**4 - 1/60*b**w. Factor u(y).
-(y - 1)*(y + 1)**4
Suppose -3 = -16*a + 13*a. Let z be (3 + a)/(-1 - (-8 - -5)). Suppose -1/2*v + 3/4*v**z + 0 = 0. Calculate v.
0, 2/3
Let y = 959/78 - -8/39. Factor 8*u + 1/2*u**5 + 7/2*u**4 + 19/2*u**3 + 2 + y*u**2.
(u + 1)**3*(u + 2)**2/2
Let p(n) be the first derivative of -2*n**7/105 + n**6/20 + 4*n**5/15 + n**4/4 - 17*n**2 + 21. Let v(i) be the second derivative of p(i). Factor v(y).
-2*y*(y - 3)*(y + 1)*(2*y + 1)
Let w = 31707/5 + -6339. Solve 6/5*v - 4/5 + 6/5*v**5 - w*v**3 - 4/5*v**4 + 8/5*v**2 = 0.
-1, 2/3, 1
Suppose -5*m = 20, 0 = 288*i - 293*i + 3*m + 27. Suppose 2/7*w**i + 32/7*w - 2*w**2 - 24/7 = 0. What is w?
2, 3
Let w be (-5 - 0) + (-15)/(135/(-72)). Factor 3/7 - 3/7*o**w - 3/7*o**2 + 3/7*o.
-3*(o - 1)*(o + 1)**2/7
Suppose 0 = -h + u + 21, -h - 3*u + 1 = u. Solve 25*b**2 + 4*b + 12*b**5 - 13*b**5 - 2*b**4 - h*b**2 + 3*b**3 = 0 for b.
-2, -1, 0, 2
Let d = 17 + -16. Let z be 1 - (d - 3 - 0). Factor -9*w - 9*w - 2*w - 16*w**2 + 0*w - 8 - 4*w*