0*q**5 + 0*q**3 + 0*q - 1/1200*q**6 + 0. Factor k(j).
-j**3/10
Let j = -14/767 + 3891/3068. Factor j*l**3 + 0 + 55/4*l**2 - 15*l.
5*l*(l - 1)*(l + 12)/4
Suppose -169/3 - 1/3*f**4 - 74*f**2 + 28/3*f**3 + 364/3*f = 0. Calculate f.
1, 13
Let x(r) be the first derivative of r**4/114 - 2*r**3/57 + r**2/19 + 7*r + 40. Let g(z) be the first derivative of x(z). Solve g(b) = 0.
1
Let z = -142 - -146. Let v be z + -2 - (1 + -2). What is b in 0*b - 1/5*b**v + 2/5*b**2 + 0 = 0?
0, 2
Let f(i) be the first derivative of 3*i**4/14 + 44*i**3/21 + 40*i**2/7 - 259. Factor f(d).
2*d*(d + 4)*(3*d + 10)/7
Let n(v) = 3*v + 3 - 2*v - 7*v**2 + 9*v**2 + 2*v**2. Let a(j) = -11*j**2 - 4*j - 9. Let b(c) = -3*a(c) - 8*n(c). Determine u, given that b(u) = 0.
-3, -1
Let h(l) = l**2 - 7*l - 6. Let t be h(8). Factor -54*c**3 - 4096*c - 10*c**3 + 10074 + 2*c**4 + 33*c**t + 735*c**2 - 1882.
2*(c - 8)**4
Let o(b) = -b**3 + 5*b**2 + 14*b + 4. Let s(l) = l**3 + l + 1. Let w(g) = g**2 - 5*g - 10. Let r be w(6). Let f(x) = r*s(x) + o(x). Factor f(u).
-5*u*(u - 2)*(u + 1)
Let q = 505 - 507. Let z(h) = 3*h - 3. Let w(j) = j - 1. Let i(f) = 4*w(f) - z(f). Let t(x) = x**2 - x + 3. Let g(y) = q*t(y) - 6*i(y). Let g(n) = 0. What is n?
-2, 0
Let l(d) be the second derivative of 9*d + 0 + 2/33*d**3 - 1/110*d**5 + 0*d**2 - 1/66*d**4. Factor l(k).
-2*k*(k - 1)*(k + 2)/11
Factor -10*o**2 - 28*o**2 + 29*o**3 - 15*o - 24*o**3 + 60 + 23*o**2 - 5*o.
5*(o - 3)*(o - 2)*(o + 2)
Let z(p) be the second derivative of p**7/189 + p**6/135 - p**5/90 - p**4/54 - 91*p + 1. Determine j so that z(j) = 0.
-1, 0, 1
Let s(d) = -5*d. Let z be s(-1). Let n(r) be the third derivative of 0*r + 0 + 1/9*r**3 + 1/54*r**4 + 4*r**2 - 1/270*r**z. Determine o, given that n(o) = 0.
-1, 3
Find o such that -51*o - 172*o**2 + 374*o**2 - 199*o**2 = 0.
0, 17
Let q be -2*(-5)/(-90)*-3. Suppose 1/6*p - q*p**2 + 1/6*p**3 + 0 = 0. What is p?
0, 1
Let t(v) = v - 2. Let j(n) = -4*n**2 - 1740*n - 193640. Let h(q) = j(q) - 20*t(q). Let h(c) = 0. Calculate c.
-220
Factor -5/4*z**3 - 17/2*z**2 - 6*z + 0.
-z*(z + 6)*(5*z + 4)/4
Suppose 2*b + 4*k + 280 = 3*b, 0 = 4*b - 2*k - 1148. Let z = 884/3 - b. Factor -10*h**3 - z*h**4 - 5/3*h**5 - 5/3*h + 0 - 20/3*h**2.
-5*h*(h + 1)**4/3
Let h be (-70)/(-14)*(34/10 + -1). Determine g so that -8*g**2 - 16*g**3 + 32*g**3 - h + 22*g - 18*g**3 = 0.
-6, 1
Let n be -4 + 22/(-8)*(-10 + (25 - 17)). Determine y so that -3 + 9/2*y - n*y**2 = 0.
1, 2
Let v(m) be the first derivative of -m**6/9 + 4*m**5 - 193*m**4/6 - 320*m**3/3 - 256*m**2/3 + 789. Find k such that v(k) = 0.
-1, 0, 16
Suppose 56*o - 2 + 2 = 0. Let a(m) be the second derivative of -2/27*m**3 + 0*m**4 + o + 1/45*m**5 - 1/135*m**6 + 1/9*m**2 - m. Factor a(g).
-2*(g - 1)**3*(g + 1)/9
Let h(m) = -m**3 + 2*m**2 - 12*m + 2. Let f be h(0). Factor 2/5*v**f - 6/5*v + 4/5.
2*(v - 2)*(v - 1)/5
Factor -13*v**3 + 21 - 45*v + 23*v**3 + 6*v**2 + 30*v**4 - 27*v**4 + 3*v**5 + 32*v**3 - 30*v**4.
3*(v - 7)*(v - 1)**3*(v + 1)
Determine l, given that -256/9*l - 26/9*l**3 - 124/9*l**2 - 2/9*l**4 - 64/3 = 0.
-4, -3, -2
Let b = -8262 - -8264. Find s, given that 0 - 2*s**b + 6/5*s = 0.
0, 3/5
Suppose q = 2*t + 6, q - 5*t + 7 = 4*q. Let h be (-8)/(-70)*(9/(-6) + q). Factor 4/7*g**3 + h*g**2 + 0 + 0*g + 2/7*g**4.
2*g**2*(g + 1)**2/7
What is i in i**2 + 0*i**2 + 8*i - 2*i**2 - 3*i**2 + 12 = 0?
-1, 3
Let b be 12 + -16 - (-269)/40. Let n = 25/8 - b. Factor 4/5*a + n*a**2 + 0.
2*a*(a + 2)/5
Let q(x) = -2*x**3 - 6*x**2 + 2*x + 8. Let y(h) = -h**3 + h + 2*h**2 + 0 - 7*h**2 + 2 + 6. Let r(c) = -3*q(c) + 2*y(c). Let r(b) = 0. What is b?
-2, -1, 1
Factor -214*i**3 + 67*i + 53262*i**4 - 15*i + 154*i**2 - 53254*i**4.
2*i*(i - 26)*(i - 1)*(4*i + 1)
Suppose 24 + 11/2*c**2 - 1/2*c**3 - 20*c = 0. What is c?
3, 4
Suppose -3*u + 5*h + 1 = -0*h, 0 = 2*h - 2. Factor -13*a**2 - 10*a**2 - u + 22*a**2 - 2*a + 5.
-(a - 1)*(a + 3)
Factor 2*a - 1/2*a**2 + 5/2.
-(a - 5)*(a + 1)/2
Suppose 0 = -44*q - 16*q - 7*q + 134. Factor -8/3*h**q + 0 + 5/3*h**3 + 4/3*h - 1/3*h**4.
-h*(h - 2)**2*(h - 1)/3
Let n(m) = m**3 - 8*m**2 + 7*m + 2. Let x(k) = k**2 - 5*k + 7. Let c be x(5). Let d be n(c). Solve 0*t**2 + 35*t - 31*t + 3 + t**d = 0 for t.
-3, -1
Let w(c) be the third derivative of -c**10/90720 - c**9/22680 - c**8/20160 - 3*c**4/4 + 4*c**2. Let x(i) be the second derivative of w(i). Factor x(a).
-a**3*(a + 1)**2/3
Let x(h) be the second derivative of -h**5/60 - 5*h**4/36 + h**3/18 + 5*h**2/6 + h - 64. Factor x(r).
-(r - 1)*(r + 1)*(r + 5)/3
Let i(g) = 3*g**3 + 5*g**2 - 7*g - 5. Let b(u) = -80*u**3 + 49 + 190*u + 47 + 39 - 135*u**2. Let h(m) = -2*b(m) - 55*i(m). Factor h(z).
-5*(z - 1)*(z + 1)**2
Let w(s) = s**3 + 1. Let l(h) = 9*h**3 + 14*h**2 - 13. Let y(x) = l(x) - 5*w(x). Determine u, given that y(u) = 0.
-3, -3/2, 1
Let a(i) be the second derivative of 3*i**5/20 - 2*i**3 + i + 2. Factor a(u).
3*u*(u - 2)*(u + 2)
Let y = 5906 + -11811/2. Factor y*t**4 + 1/3*t**3 + 0 + 1/6*t**5 + 0*t**2 + 0*t.
t**3*(t + 1)*(t + 2)/6
Let n be 96/(-21) - -12 - 7. Factor -3/7*h**2 + 18/7 + n*h.
-3*(h - 3)*(h + 2)/7
Let m(j) = 6*j**4 + 13*j**3 + 26*j**2 + 15*j + 6. Let l(u) = -2*u**4 - u**2 + u - 1. Let w(t) = -10*l(t) - 5*m(t). Solve w(h) = 0 for h.
-4, -1, -1/2
Suppose 3*p - 2 = 10. Factor -15*h**4 + 5*h**3 + 9*h**4 + 8*h**3 - p*h + 4*h**2 + 11*h**4.
h*(h + 1)*(h + 2)*(5*h - 2)
Let h = 71 - 68. Let u be (20/(-15) + h)*3. Find s such that -8/3*s**3 - 16/3*s**4 + 8/3*s + 1/3 + u*s**2 = 0.
-1, -1/4, 1
Let t(v) be the second derivative of v**4/42 - 20*v**3/21 + 100*v**2/7 - 8*v. Determine z, given that t(z) = 0.
10
Factor 12*w**2 + 44*w**2 - 18*w - 57*w**2.
-w*(w + 18)
Let n(k) = 5*k**2 - 5*k + 4. Let j be n(1). Let b(g) be the second derivative of 1/4*g**j + 4*g - g**2 + 1/6*g**3 + 0. Factor b(o).
(o + 1)*(3*o - 2)
Let f(k) be the second derivative of 0 + 0*k**2 + 1/21*k**4 - 11*k - 10/21*k**3. Factor f(q).
4*q*(q - 5)/7
Let y(l) be the first derivative of 5*l**3/3 + 5*l**2 - 40*l - 48. Solve y(r) = 0.
-4, 2
Let 8*i**5 + 2173*i**3 + 44*i**4 + 3*i**2 - 2105*i**3 + 21*i**2 = 0. What is i?
-3, -2, -1/2, 0
What is r in 2/5*r - 2/5*r**3 - 2/5*r**2 + 2/5*r**4 + 0 = 0?
-1, 0, 1
Let p(x) be the third derivative of x**6/900 - x**5/75 - x**4/5 + 4*x**3/3 + 33*x**2. Let l(j) be the first derivative of p(j). Find v such that l(v) = 0.
-2, 6
Let t(x) = -x**3 + 11*x**2 - 16*x - 18. Let a be t(9). Let u(r) be the third derivative of 2*r**3 + 0*r**4 + a + 9*r**2 + 0*r - 1/20*r**5. Factor u(j).
-3*(j - 2)*(j + 2)
Let n(s) be the first derivative of s**5/15 - 2*s**3/3 + 4*s**2/3 - 10*s - 17. Let g(f) be the first derivative of n(f). Factor g(h).
4*(h - 1)**2*(h + 2)/3
Let y(o) be the first derivative of o**4/4 - 4*o**3/9 + o**2/6 + 36. Factor y(v).
v*(v - 1)*(3*v - 1)/3
Let h be (4/(-8))/(3/(-12)). Suppose 2*s - 4*s**h - 4*s + 12 - 6*s = 0. Calculate s.
-3, 1
Solve 13 + 30 - 4*b**2 + 3 + 2 + 44*b = 0.
-1, 12
Let s(w) be the second derivative of 8*w**6/15 + 154*w**5/5 + 99*w**4/4 - 265*w**3/6 + 19*w**2 - 408*w + 2. Factor s(h).
(h + 1)*(h + 38)*(4*h - 1)**2
Suppose v = 3*v + 2, 3*c = 3*v - 15. Let m(i) = 5*i**4 + i**3 - 15*i**2. Let q(f) = 11*f**4 + 3*f**3 - 31*f**2. Let j(t) = c*q(t) + 14*m(t). Factor j(o).
4*o**2*(o - 3)*(o + 2)
Let n(l) = l + 16. Let f be n(-16). Suppose f*d - 2*k - 4 = 3*d, -17 = 4*d + 5*k. Factor 0 + 1/5*j**d + 1/5*j**3 + 0*j - 1/5*j**4 - 1/5*j**5.
-j**2*(j - 1)*(j + 1)**2/5
Factor 408/7*u + 20808/7 + 2/7*u**2.
2*(u + 102)**2/7
Let b(u) be the second derivative of -u**4/20 + 4*u**3 + 123*u**2/10 + 2*u - 295. Factor b(h).
-3*(h - 41)*(h + 1)/5
Let o(l) be the third derivative of -l**6/180 + l**5/45 + 7*l**4/36 + 4*l**3/9 + 111*l**2. Suppose o(x) = 0. Calculate x.
-1, 4
Suppose 305 = 5*n + 295. Suppose -l = n*l - 12. Factor -2/17*r**5 - 12/17*r**3 + 8/17*r**2 - 2/17*r + 8/17*r**l + 0.
-2*r*(r - 1)**4/17
Let r = -10467 + 10471. Solve 1/4*s**5 + 0*s**2 + 1/2*s**r + 0 + 0*s + 1/4*s**3 = 0.
-1, 0
Factor -r**2 - 2*r**2 + 0*r**3 + r**3 - 19*r - 2*r**3 + 29*r + 24.
-(r - 3)*(r + 2)*(r + 4)
Let c(a) be the second derivative of 21*a**5/20 + 5*a**4/2 - a**3/2 - 6*a**2 + 5*a - 5. Factor c(f).
3*(f + 1)**2*(7*f - 4)
Factor -4378*w**2 - 21*w + 2191*w**2 + 2196*w**2 + 12.
3*(w - 1)*(3*w - 4)
Suppose -3*b - 40 = i, 3*i + 3*b + 72 + 78 = 