et v(p) = w(p) + y(p). Factor v(r).
-5*(r + 1)*(r + 42)
Let d be 5/(-4) + (162/(-24) - -12). Factor 0*q**2 - 2/9*q**5 + 0 + 0*q**3 + 0*q - 2/9*q**d.
-2*q**4*(q + 1)/9
Find q such that 0 + 2/9*q**4 - 34*q**3 - 11552/9*q + 3952/3*q**2 = 0.
0, 1, 76
Let b(p) be the third derivative of -p**6/960 - 7*p**5/480 - 11*p**4/192 - 5*p**3/48 - 87*p**2. Suppose b(n) = 0. Calculate n.
-5, -1
Let u(m) be the first derivative of m**5/150 + m**4/30 + m**3/15 - 11*m**2 - 11. Let t(j) be the second derivative of u(j). Factor t(o).
2*(o + 1)**2/5
Let j(h) be the second derivative of h**5/10 - 7*h**4/2 + 33*h**3 + 121*h**2 - 748*h. Find c, given that j(c) = 0.
-1, 11
Let a(t) = -t**3 + 7*t**2 - 3*t - 11. Let b be a(6). Determine l, given that -b - 6 - l**2 + 4 + 16*l - 10*l = 0.
3
Suppose 7*r - 9*r + 6 = 0. Let o be (r + 0 + -3)/(-2). Factor 0 - 8/7*w**2 + o*w + 10/7*w**4 + 16/7*w**3.
2*w**2*(w + 2)*(5*w - 2)/7
Suppose 126*f - 1503 + 1251 = 0. Factor 0*v**4 + 0 + 4/3*v**f + 1/6*v**5 - v**3 - 1/2*v.
v*(v - 1)**3*(v + 3)/6
Suppose 17*o - 19*o = -50. Suppose 75*i**3 + i + 22*i**4 + 21*i - o*i**3 + 2 - 6*i**4 + 54*i**2 = 0. What is i?
-1, -1/8
Let a(t) be the third derivative of -t**8/112 + t**7/35 - t**6/40 - 28*t**2. Determine n so that a(n) = 0.
0, 1
Let j = 1606/15 - 1594/15. Suppose j + 3/5*o - 1/5*o**2 = 0. What is o?
-1, 4
Let w(l) = 23*l**2 - 126*l + 720. Let x(g) = -210*g**2 + 1135*g - 6480. Let i(f) = 55*w(f) + 6*x(f). Suppose i(s) = 0. Calculate s.
12
Let n(o) = -24*o**2 - 40*o - 120. Let z(s) = s**2 - s + 2. Let q(r) = 2*n(r) + 52*z(r). Suppose q(x) = 0. Calculate x.
-1, 34
Let d = -56 - -59. Factor 8*z**d + 4*z**5 + 24*z**4 - 4 - 12*z**4 + 0*z**5 - 12*z - 8*z**2.
4*(z - 1)*(z + 1)**4
Let w(t) = -3*t**3 + 357*t**2 + 2610*t + 7200. Let l(j) = -j**3 + 90*j**2 + 652*j + 1800. Let f(m) = -15*l(m) + 4*w(m). Suppose f(d) = 0. Calculate d.
-10, -6
Let t(u) = 3*u**2 - 7*u**2 + 1 + u + 5*u**2. Let b(w) = w**2 + 3*w + 1. Let f be (2 - 0)/2 + (-126)/21. Let c(r) = f*t(r) + 3*b(r). Find i, given that c(i) = 0.
1
Let i(g) = 6*g**3 - 769*g**2 + 25349*g - 24571. Let u(p) = -15*p**3 + 1923*p**2 - 63372*p + 61428. Let x(d) = -12*i(d) - 5*u(d). Factor x(m).
3*(m - 64)**2*(m - 1)
Factor -24/7*t**4 + 0*t - 10/7*t**5 + 0 - 4/7*t**2 - 18/7*t**3.
-2*t**2*(t + 1)**2*(5*t + 2)/7
Let b = -7/50 + 6/25. Let r(c) be the second derivative of -1/4*c**4 + 7*c + 3/20*c**5 + 0*c**2 - 1/2*c**3 + b*c**6 + 0. Solve r(j) = 0.
-1, 0, 1
Let u(h) be the second derivative of 0 - 1/12*h**3 - 1/80*h**5 - 10*h + 1/16*h**4 + 0*h**2. Factor u(d).
-d*(d - 2)*(d - 1)/4
Determine s, given that 2/7*s**3 + 10/7*s + 4/7 + 8/7*s**2 = 0.
-2, -1
Let u(m) be the second derivative of 1/8*m**5 - 1/8*m**4 + 7/40*m**6 + 11*m + 1/8*m**2 + 0 - 1/8*m**3 + 3/56*m**7. Factor u(r).
(r + 1)**3*(3*r - 1)**2/4
Let b(p) be the first derivative of 1/150*p**5 + 5 + 0*p + 0*p**3 - 1/30*p**4 + 5/2*p**2. Let q(g) be the second derivative of b(g). Solve q(t) = 0.
0, 2
Suppose -3*c + 6 = -2*c. Suppose b = -4*g - 0*b + 18, -2 = g - 3*b. Factor -c*u - 3*u - u + 15*u**2 - 5*u**g.
-5*u*(u - 1)**2*(u + 2)
Suppose 60 = 2*p - 0*p - 3*j, 0 = -p - 2*j + 37. Factor -7*y**2 + 12 + 5 - 21*y**2 - p + 64*y.
-4*(y - 2)*(7*y - 2)
Let y(w) be the second derivative of -w**7/105 + 2*w**6/75 + 4*w**5/25 + w**4/15 - 7*w**3/15 - 4*w**2/5 + 3*w + 9. Determine l so that y(l) = 0.
-1, 1, 4
Find c such that -15/7*c**2 - 3/7*c + 3/7*c**3 + 15/7 = 0.
-1, 1, 5
Determine j so that -5*j**2 + 261174 - 261174 + j**3 + 6*j = 0.
0, 2, 3
Let x(w) = w**3 + 9*w**2 - w + 5. Let v(z) = -z**3 - 4*z**2 - 3. Suppose -3*c + 5 = -2*r, c + 2*r = -3*r + 30. Let l(b) = c*v(b) + 3*x(b). Factor l(s).
-s*(s - 3)*(2*s - 1)
Let c = -2 + 14. Let i = -9 + c. What is s in -s**4 - 2*s**i + 4*s**3 - 2*s**2 - 4*s**2 + 5*s**2 = 0?
0, 1
Find c such that -15/2*c**2 - 3/2*c + 9 = 0.
-6/5, 1
Let n be 0/((-30)/75*10/4). Let 2/11*x**5 + 0 - 6/11*x**4 + n*x - 2/11*x**2 + 6/11*x**3 = 0. Calculate x.
0, 1
Let h(w) be the first derivative of 5*w**3/3 - 15*w**2 + 40*w + 49. Factor h(s).
5*(s - 4)*(s - 2)
Factor -45/4*x + 3/4*x**2 + 0.
3*x*(x - 15)/4
Solve 24/7*r**3 + 18/7*r**4 + 0 - 22/7*r**2 + 4/7*r = 0 for r.
-2, 0, 1/3
Solve -144/13 - 2/13*p**5 + 20/13*p**2 + 30/13*p**3 - 120/13*p + 0*p**4 = 0.
-2, 3
Let n(h) be the third derivative of 0*h + 1/3*h**6 + 0 + 5/42*h**7 + 1/3*h**5 + 0*h**4 + 21*h**2 + 5/336*h**8 + 0*h**3. What is b in n(b) = 0?
-2, -1, 0
Let m(a) be the first derivative of -5/8*a**2 - 4/5*a**5 - 25/4*a - 8 + 1/6*a**6 + 1/16*a**4 + 41/12*a**3. Find l such that m(l) = 0.
-1, 1, 5/2
Factor -5/4*q**5 + 145/4*q**4 + 1250*q + 875*q**2 - 675/2*q**3 + 0.
-5*q*(q - 10)**3*(q + 1)/4
Let w(c) be the first derivative of -c**5/25 - c**4/5 - 4*c**3/15 + 78. Determine v so that w(v) = 0.
-2, 0
Factor -8*d - 16/9 - 22/9*d**3 + 28/3*d**2.
-2*(d - 2)**2*(11*d + 2)/9
Let q(b) be the second derivative of 0*b**2 + 0 + 5/12*b**4 - 1/3*b**3 - 1/6*b**6 - 1/14*b**7 + 3*b + 1/4*b**5. Let q(c) = 0. Calculate c.
-2, -1, 0, 1/3, 1
Suppose 17*d - 114 = 5. Let a be 4/d*3*14/9. Factor 8/3 - a*y + 2/3*y**2.
2*(y - 2)**2/3
Let b(q) = 25*q**2 + 15*q. Let x(h) = 10*h + 3*h**2 + 8*h + 22*h**2 - 3*h. Let u(o) = -5*b(o) + 6*x(o). Let u(i) = 0. Calculate i.
-3/5, 0
Let j(i) = 106*i - 528. Let f be j(5). Let 2*w - 8/5*w**4 + 2/5 - 2*w**3 + 6/5*w**f = 0. Calculate w.
-1, -1/4, 1
Let u(i) = -i**2 - i + 9. Let o be u(3). Let a be (-4)/(-4 + -1 - o). Factor -1/2*p**2 - a + 2*p.
-(p - 2)**2/2
Let o(d) be the second derivative of -d**4/114 + 23*d**3/57 + 26*d. Factor o(y).
-2*y*(y - 23)/19
Let o(h) = 3*h**4 - 12*h**3 - 16*h**2 + 17*h + 13. Let m = 18 + -14. Let c(j) = 2*j**4 - 12*j**3 - 16*j**2 + 16*j + 14. Let f(s) = m*o(s) - 5*c(s). Factor f(n).
2*(n - 1)*(n + 1)*(n + 3)**2
Let -4/7*m**2 + 0*m + 2/7*m**4 + 2/7*m**3 + 0 = 0. What is m?
-2, 0, 1
Find j, given that 0 - 2/7*j**4 + 0*j**3 + 2/7*j**2 + 0*j = 0.
-1, 0, 1
Let x be (16 + -4)/((-3)/(-20)). Let b = x + -78. Solve -1/2 + 1/2*d**b + 0*d = 0 for d.
-1, 1
Let x(y) be the first derivative of -21*y**5/20 + y**4/4 + 46*y - 15. Let t(l) be the first derivative of x(l). Determine k so that t(k) = 0.
0, 1/7
Suppose -5 = 4*x - 5*c, -89*x + 85*x - 6*c = -50. Factor 5/2*d - x*d**2 + 5/2*d**3 + 0.
5*d*(d - 1)**2/2
Let t be 14/12 + (3/15 - (-13)/(-390)). Solve 1/6*w**2 + 1/6*w**5 + 7/6*w**3 - t*w + 2/3 - 5/6*w**4 = 0.
-1, 1, 2
Let p(n) be the third derivative of n**7/168 - n**6/18 + n**5/6 + n**3/2 - 19*n**2. Let i(o) be the first derivative of p(o). Suppose i(x) = 0. What is x?
0, 2
Let o(t) be the third derivative of 5*t**8/336 + t**7/14 - t**6/8 - 11*t**5/12 - 5*t**4/4 + 89*t**2. Factor o(c).
5*c*(c - 2)*(c + 1)**2*(c + 3)
Let k(d) be the first derivative of d**6/165 - d**5/110 - 5*d**4/66 - d**3/11 - 2*d - 9. Let f(l) be the first derivative of k(l). Factor f(q).
2*q*(q - 3)*(q + 1)**2/11
Let h(x) = -4*x**2 - 225*x + 5. Let c(z) = -7*z**2 - 339*z + 8. Let o(f) = -5*c(f) + 8*h(f). Factor o(u).
3*u*(u - 35)
Let m(i) be the first derivative of 0*i - 1/15*i**3 - 5/2*i**2 + 1/150*i**5 + 1/40*i**4 - 4. Let u(b) be the second derivative of m(b). Factor u(y).
(y + 2)*(2*y - 1)/5
Factor -98*t - 29 + 6 - 2*t**4 + 6 + 17 - 70*t**2 + 26*t**3.
-2*t*(t - 7)**2*(t + 1)
Let w be ((-8)/(-14))/(9/63). Let u be 25/10*w/35. Suppose u*t**4 + 2/7*t**3 + 0 + 0*t**2 + 0*t = 0. What is t?
-1, 0
Suppose 0 = -100*r + 100 + 200. Factor -4/3 - 10/3*n - 2/3*n**r - 8/3*n**2.
-2*(n + 1)**2*(n + 2)/3
Let u(k) be the third derivative of k**7/1470 - k**6/840 - k**5/35 - 199*k**2. Factor u(f).
f**2*(f - 4)*(f + 3)/7
Let x = 6 - 6. Let d be (2/(-2) - -3) + x. Factor 0*z**2 + 0*z**2 - 2 - 3*z + 2*z**d.
(z - 2)*(2*z + 1)
Let x = 26296 + -26296. Factor 7/2*a**4 - 3/2*a**3 - 3/2*a**2 + a - 3/2*a**5 + x.
-a*(a - 1)**3*(3*a + 2)/2
Let z = -13031/20 - -2607/4. Let 0*g - 4/5 + z*g**2 = 0. Calculate g.
-2, 2
Let c(h) = h**4 - 3*h**3 + 2*h - 2. Let q(l) = l**3 + l - 1. Let z(j) = -5*c(j) + 10*q(j). Solve z(m) = 0.
0, 5
Let v(m) be the second derivative of -4*m**7/525 + m**6/60 - m**5/150 + 2*m**2 - 3*m. Let z(c) be the first derivative of v(c). Suppose z(o) = 0. What is o?
0, 1/4, 1
Let u = -53 - -60. Factor -29*a + 52 - 20 - u*a + 4*a**2.
4*(a - 8)*(a - 1)
Let v(q) = q**5 - q**4 - 10*q**3 + 15*q**2 - q + 1. Let d(f) = -f**3 +