3*r - 2 - 7/12*r**4 - 26/9*r**3. Find o, given that j(o) = 0.
-2, 2/7
Let d(h) = -h**2 + h + 1. Let x(n) be the third derivative of -n**6/120 + n**5/5 - 5*n**4/8 - n**3/3 + 3*n**2 - 4*n. Let z(t) = 6*d(t) + x(t). Factor z(b).
-(b - 4)*(b - 1)**2
Let a = 200/9 + -133/6. Let z(l) be the second derivative of 1/60*l**5 - 1/18*l**4 + 0 + 0*l**2 + 2*l + a*l**3. Factor z(m).
m*(m - 1)**2/3
Let s(j) be the third derivative of j**7/504 - j**6/24 + 5*j**5/24 - j**4/6 + 11*j**2. Let t(p) be the second derivative of s(p). Factor t(z).
5*(z - 5)*(z - 1)
Let k(z) be the third derivative of 0*z + 35/24*z**4 + 5/24*z**6 - 5/3*z**3 - 10*z**2 - 3/4*z**5 + 0 - 1/42*z**7. Factor k(j).
-5*(j - 2)*(j - 1)**3
Let k = -30 + 33. Suppose 0 = -7*g + k*g + 8. Factor 0 + 2/5*p**g + 0*p.
2*p**2/5
Suppose -2*v + 4*p + 24 = 0, 5*v + p = 5 - 0. Suppose -v*n + 4 = -2. Determine j so that 4*j**n - j**4 - j**3 - 3*j**3 + j**5 = 0.
0, 1
Let m(d) be the third derivative of -d**6/12 - 5*d**5/4 + 135*d**4/8 + 110*d**3/3 + 156*d**2. Factor m(r).
-5*(r - 4)*(r + 11)*(2*r + 1)
Let j = 713459/28 + -25484. Let z = j - -15/4. Find o, given that 2/7 - z*o + 1/7*o**2 = 0.
1, 2
Solve 0 + 1/5*c**5 + 24/5*c + 9*c**3 - 12/5*c**4 - 58/5*c**2 = 0.
0, 1, 4, 6
Factor 28 + 32*h + 0*h**2 - 10*h**2 + 14*h**2 + 0*h.
4*(h + 1)*(h + 7)
Let 13/2*r**2 - 9 - 3/2*r + 7/2*r**3 + 1/2*r**4 = 0. What is r?
-3, -2, 1
Let q(z) be the second derivative of z**5/140 + 2*z**4/7 - z**3/42 - 12*z**2/7 + 4*z - 10. Factor q(f).
(f - 1)*(f + 1)*(f + 24)/7
Suppose -5*n = -2*x - 60, -3*x + 2*x + 36 = 3*n. Let d(h) be the first derivative of -n*h + 2 - 4/3*h**3 + 8*h**2. Find z such that d(z) = 0.
1, 3
Determine g so that 8*g**2 - 1 + 2*g**3 + 1 + 6 + 6 - 22*g = 0.
-6, 1
Let f(s) be the first derivative of 45/2*s**4 + 0*s + 21 - 7*s**5 - 100/3*s**3 + 20*s**2 + 5/6*s**6. Find o, given that f(o) = 0.
0, 1, 2
Suppose n = -50013 + 50015. Factor -2/3*t**n - 4 + 14/3*t.
-2*(t - 6)*(t - 1)/3
Let l(y) be the second derivative of -y**4/24 + 9*y**2/4 - 126*y. Factor l(p).
-(p - 3)*(p + 3)/2
Let m be ((-40)/3)/((-3)/(-135)*6). Let b = -96 - m. Factor -1/4*x**3 - 1/4*x**b + 0 + 1/4*x + 1/4*x**2.
-x*(x - 1)*(x + 1)**2/4
Let k be (-10)/(-4)*(32/10)/4. Suppose -10*q**4 + 43*q**3 - 27*q**3 + 2*q**2 - 7*q**2 - 3*q**2 + k*q**5 = 0. Calculate q.
0, 1, 2
Let -95 + 19 + 40 + 28*o**2 - 14*o**2 + 30*o = 0. Calculate o.
-3, 6/7
Factor d**4 + 2*d**2 + 0*d**3 - 4*d**3 - 4*d**2 - 8*d**2 + d**3.
d**2*(d - 5)*(d + 2)
Suppose 6 = -5*m + 111. Factor -4 - m*s + 261*s**3 - 276*s**3 - 27*s**2 - 2 - 3*s**4.
-3*(s + 1)**3*(s + 2)
Let p(g) be the second derivative of 0 - 1/40*g**5 + 0*g**2 + 9*g + 1/18*g**3 - 1/72*g**4. What is w in p(w) = 0?
-1, 0, 2/3
Suppose -2 + 17*m**5 - 2355*m**3 - 490*m - 52*m**5 + 2 - 2345*m**2 - 535*m**4 = 0. What is m?
-7, -1, -2/7, 0
Let o be 2*(-1)/1 - -4. Suppose -v + 28 = 5*z, 3*v - o*z + 4 = v. Factor -8*a**2 - 3*a**5 + 4*a**3 - 3*a**4 - 3*a**v + 11*a**2 + 2*a**3.
-3*a**2*(a - 1)*(a + 1)**2
Let u(m) be the third derivative of 0 - 1/60*m**6 + 1/12*m**4 + 1/60*m**5 + 0*m**3 + 0*m - 2*m**2 - 1/210*m**7. Factor u(k).
-k*(k - 1)*(k + 1)*(k + 2)
Solve 4/5*c**3 - 4/5*c**5 + 0*c - 6/5*c**2 + 0 + 6/5*c**4 = 0.
-1, 0, 1, 3/2
Let q(m) = -m**2 + 11*m + 4. Let a be q(10). Suppose 5*t - 6 = 4. Solve -18*z - z**2 + z**t - 4 - a*z**2 = 0.
-1, -2/7
Suppose -4/3*m**2 - 32/3 - 8*m = 0. What is m?
-4, -2
What is n in 1/2*n**2 - 5 + 9/2*n = 0?
-10, 1
Let y be (-715)/(-220) + (-218)/72. Suppose 4/3*d**2 + 4/3 - 22/9*d - y*d**3 = 0. What is d?
1, 2, 3
Let a(j) be the first derivative of -1/21*j**3 - 5*j + 0*j**4 + 2 + 1/70*j**5 + 0*j**2. Let d(x) be the first derivative of a(x). Let d(i) = 0. Calculate i.
-1, 0, 1
Let y(b) be the first derivative of 2*b**3/27 - 5*b**2/9 + 4*b/3 + 83. Find f such that y(f) = 0.
2, 3
Let n(p) = 32*p - 2108. Let w be n(66). Let 2/3*k**2 - 2/3*k + 2*k**3 - 4/3*k**5 - 2/3*k**w + 0 = 0. What is k?
-1, 0, 1/2, 1
Let a(c) = 25*c**2 - 545*c - 210. Let r(u) = 2*u**2 - 39*u - 15. Let j(z) = 4*a(z) - 55*r(z). Suppose j(v) = 0. Calculate v.
-3, -1/2
Let z(m) be the first derivative of 2/3*m**3 + 18*m**2 + 162*m + 20. Factor z(b).
2*(b + 9)**2
Suppose -3*g = -5*s - 29, -4*g + 5*s + 52 - 15 = 0. Suppose 17*u = g + 26. Determine d so that -2*d + 1/2*d**u + 3/2 = 0.
1, 3
Let i(j) be the second derivative of 1/60*j**5 + 0*j**2 - 1/18*j**3 + 23*j + 0 - 1/36*j**4 + 1/90*j**6. Let i(v) = 0. Calculate v.
-1, 0, 1
Determine v, given that 4/3*v - 1/6*v**2 + 1/6*v**4 - 4/3*v**3 + 0 = 0.
-1, 0, 1, 8
Suppose -19*g = -21*g, 5*c + 3*g = 10. Determine d so that 4/3*d**3 + 4*d**c + 8/3*d + 0 = 0.
-2, -1, 0
Let n(x) = x**2 + 5*x - 6. Let k(r) = r**2 + 6*r - 5. Let h(w) = -6*k(w) + 5*n(w). Let q(b) = 10*b**2 + 120*b. Let v(s) = -65*h(s) - 6*q(s). Factor v(u).
5*u*(u - 1)
Let p be -3 + ((-296)/(-12))/(-2) - -3. Let g = -65/6 - p. Factor 3/2*x**3 + 0 - 3/2*x**5 + 0*x - g*x**4 + 3/2*x**2.
-3*x**2*(x - 1)*(x + 1)**2/2
Let q be (0/10 + 3)*1. Suppose -4*j**2 - 4*j - 4/3*j**q - 4/3 = 0. Calculate j.
-1
Let h be (-1 + 19 - (2 + 1))/(-1). Let z be (4/110)/(h/(-75)). Factor 14/11*n**2 - 30/11*n + 18/11 - z*n**3.
-2*(n - 3)**2*(n - 1)/11
Factor -28/9 + 10/9*c**3 - 22/9*c + 16/9*c**2.
2*(c + 1)*(c + 2)*(5*c - 7)/9
Let d(q) be the second derivative of 19*q**6/30 - q**5 - 3*q**4/2 + 10*q**3/3 - q**2/2 - 11*q. Factor d(g).
(g - 1)**2*(g + 1)*(19*g - 1)
Let n(o) = 2 - 14*o**2 + 2*o - 2*o**3 - 5*o**2 + 23*o**2. Let c(r) = -r**4 + r**3 + r**2 + r - 1. Let p(u) = 2*c(u) + n(u). Find i such that p(i) = 0.
-1, 0, 2
Find p, given that 0*p - 2 + 1/2*p**2 = 0.
-2, 2
Let y be (-8 + -5)*(-2)/13. Let b(r) be the third derivative of 1/120*r**6 + 0*r + 1/20*r**5 + 1/12*r**4 - y*r**2 + 0 + 0*r**3. Factor b(d).
d*(d + 1)*(d + 2)
Let x(c) be the third derivative of 45/2*c**3 + 2 + 1/42*c**7 - 45/4*c**4 - 5/12*c**6 + 0*c - 5*c**2 + 3*c**5. Find u, given that x(u) = 0.
1, 3
Let q be (2 + -2)/((-3)/(-3)). Suppose q = -4*b + 14 + 2. Factor 4 + 3 - b*k - 5 - k**2 - 6.
-(k + 2)**2
Let b(k) be the first derivative of k**6/33 - 2*k**5/55 - 17*k**4/22 - 38*k**3/33 + 16*k**2/11 + 40*k/11 - 596. Determine q, given that b(q) = 0.
-2, -1, 1, 5
Let x(o) be the first derivative of 0*o - 1/5*o**4 + 1/15*o**6 + 11 + 0*o**2 + 0*o**3 - 2/25*o**5. Let x(v) = 0. What is v?
-1, 0, 2
Suppose 144 = 4*a + 2*a. Factor -c**4 - c - 23*c**3 + c**2 - a*c**3 + 48*c**3.
-c*(c - 1)**2*(c + 1)
Suppose 35*j**2 - 52*j + j**4 + 37*j**2 - 13*j**4 + 3314 + 56*j**3 - 4*j**5 - 3374 = 0. Calculate j.
-5, -1, 1, 3
Factor 0 - 5/2*s**3 + 1/2*s**5 + 0*s - 1/2*s**4 - 3/2*s**2.
s**2*(s - 3)*(s + 1)**2/2
Let l(k) = -8*k**4 + 48*k**3 - 52*k**2 + 39*k. Let i(d) = d**4 - 4*d**3 - d**2 + d. Let y(x) = -18*i(x) - 2*l(x). Factor y(m).
-2*m*(m - 3)*(m - 1)*(m + 16)
Factor 30*s + 0 + 5/4*s**2.
5*s*(s + 24)/4
Suppose 3*s = -2*y + 8, -33*s = 3*y - 36*s - 12. Let p(n) be the first derivative of 0*n - 1/8*n**y - 1/3*n**3 + 3/4*n**2 - 10. Factor p(a).
-a*(a - 1)*(a + 3)/2
Let r(b) be the second derivative of 5*b**4/12 + 115*b**3/3 + 2645*b**2/2 - 67*b. Determine l, given that r(l) = 0.
-23
Suppose -17*x + 150 = 8*x. Let r(t) be the third derivative of -1/240*t**x + 0*t + 0*t**3 + 0*t**4 + 1/120*t**5 + t**2 + 0. Let r(f) = 0. What is f?
0, 1
Suppose 0 = 12*k + 6*k - 72. Let s(w) be the third derivative of 0*w - 1/96*w**k + 1/12*w**3 + 0 - 1/240*w**5 - 3*w**2. Find n such that s(n) = 0.
-2, 1
Let t(a) be the third derivative of a**5/330 + 19*a**4/132 + 20*a**3/11 + 253*a**2. Factor t(n).
2*(n + 4)*(n + 15)/11
Factor 2/11*m**3 + 0*m + 0 - 2*m**2.
2*m**2*(m - 11)/11
Let x(d) be the third derivative of -d**8/60480 - d**7/7560 + 3*d**4/8 - 2*d**2. Let w(h) be the second derivative of x(h). Solve w(s) = 0.
-3, 0
Let x(t) = t**3 + 14*t**2 - 40*t + 4. Let v(w) = 15*w**2 - 40*w + 5. Let r(d) = -4*v(d) + 5*x(d). Find s, given that r(s) = 0.
-4, 0, 2
Factor -96*b**2 + 105*b + 16*b**3 - 2*b**4 + 116*b + 35*b - 256 + b**4.
-(b - 4)**4
Let r(g) = 4*g**2 - 41*g + 97. Let x(s) = -s**2 + 3*s - 2. Let t(l) = r(l) + 5*x(l). Factor t(k).
-(k - 3)*(k + 29)
Let m be 16/4 - (2 + 1). Let s(b) = 3*b**2 - 2*b + 1. Let k be s(m). Factor 2 - 8*t + 9*t**2 - k*t**2 - t**2.
2*(t - 1)*(3*t - 1)
Factor -12/7*j**2 - 48/7*j**3 + 0*j - 39/7*j**4 + 0 - 9/7*j**5.
-3*j**2*(j + 2