?
-3, 0
Let v = -4 - -8. Suppose 0 - 16 = -4*o. Factor -o*j**4 - 5*j**3 + 3*j**3 + 6*j**v.
2*j**3*(j - 1)
Let v(c) = c**5 - 5*c**4 - 11*c**3 - 9*c**2 - 4*c. Let b(z) = -6*z**5 + 25*z**4 + 56*z**3 + 46*z**2 + 21*z. Let y(j) = -6*b(j) - 33*v(j). Factor y(g).
3*g*(g + 1)**3*(g + 2)
Let n be ((-10)/4 + 0)*8/(-10). Let w(j) be the second derivative of 1/2*j**4 + j**3 + 0 + j**n + 1/10*j**5 - j. Suppose w(v) = 0. What is v?
-1
Suppose -s - s + 2 = 0. Let n be 4/8*(7 - s). Factor -2*k**n - 1 - 3*k**2 + 3*k + 5*k**3 - 2*k**3.
(k - 1)**3
Let x(c) = c**2 + 7*c - 16. Let i be x(-9). Factor 1/3*p**3 - 1/3*p**4 + 1/3*p**i - 1/3*p + 0.
-p*(p - 1)**2*(p + 1)/3
Let h(l) be the third derivative of -l**5/270 + l**4/54 - l**3/27 - 3*l**2. Determine i, given that h(i) = 0.
1
Suppose p + 46 = 46. Let -2*j**4 - 2*j**3 - 2/3*j**2 + p + 0*j - 2/3*j**5 = 0. What is j?
-1, 0
Let a(r) = 14*r**2 + 10*r + 8. Let l(n) = 13*n**2 + 9*n + 8. Let h(s) = 3*a(s) - 4*l(s). Let o(j) = j**2 + j + 1. Let q(d) = h(d) + 8*o(d). Factor q(w).
-2*w*(w - 1)
Let o be (-2)/(-9) - -4 - 4. Factor 0*u**3 + 0*u - 2/9 + 4/9*u**2 - o*u**4.
-2*(u - 1)**2*(u + 1)**2/9
Let q(d) = -4*d**3 - 8*d**2 - 6*d - 2. Let m(b) = b**3 + b**2 + b + 1. Let k(j) = -5*m(j) - q(j). Solve k(g) = 0 for g.
-1, 1, 3
Let z(y) be the third derivative of 1/300*y**5 + 0 - 3*y**2 + 2/15*y**3 + 1/30*y**4 + 0*y. Find b such that z(b) = 0.
-2
Let c(i) be the third derivative of -i**5/210 + 3*i**4/7 - 108*i**3/7 - 13*i**2. Factor c(m).
-2*(m - 18)**2/7
Let w(o) be the second derivative of o**5/50 + 2*o**4/15 + o**3/3 + 2*o**2/5 + 18*o. Find d such that w(d) = 0.
-2, -1
Let g(b) be the first derivative of -b**5/150 + b**4/60 + 3*b**2/2 - 3. Let p(j) be the second derivative of g(j). Factor p(o).
-2*o*(o - 1)/5
Suppose -m - m = 0. Suppose -1/3*s + 1/3*s**3 + m + 0*s**2 = 0. What is s?
-1, 0, 1
Let a(z) be the first derivative of 1/10*z**5 - 1/2*z**4 + 0*z**2 + 0*z + 2/3*z**3 - 10. Suppose a(i) = 0. What is i?
0, 2
Let c(u) = -9*u**3 - 9*u**2 - 6*u. Let m(t) = 8*t**3 + 8*t**2 + 5*t. Let w(q) = 5*c(q) + 6*m(q). Solve w(n) = 0.
-1, 0
Suppose -5*m + 5 = -5. Find o, given that o + 4*o**3 - m*o**3 - 2*o + 3*o - 4*o**4 - 4 + 12*o**2 = 0.
-1, 1/2, 2
Let w(u) be the second derivative of -u**5/60 - u**4/9 - 2*u**3/9 - 6*u. Factor w(i).
-i*(i + 2)**2/3
Let n(c) be the second derivative of -c**7/21 - 13*c**6/30 - 29*c**5/20 - 11*c**4/6 + 2*c**3/3 + 4*c**2 - 7*c. Factor n(j).
-(j + 1)*(j + 2)**3*(2*j - 1)
Let g(o) = -9*o**3 - 23*o**2 - 18*o - 4. Let v(c) = 18*c**3 + 47*c**2 + 37*c + 8. Let z(k) = 11*g(k) + 6*v(k). Factor z(j).
(j + 1)*(j + 2)*(9*j + 2)
Factor 0 - 1/10*i**4 + 0*i - 1/2*i**3 - 2/5*i**2.
-i**2*(i + 1)*(i + 4)/10
Let o = 24 - 19. Suppose 20 = 5*m + o*a, -m - 12 = -2*m - 5*a. Factor 2/11*j**4 - 2/11*j + 0 + 2/11*j**3 - 2/11*j**m.
2*j*(j - 1)*(j + 1)**2/11
Let a be 6/18*-6 - -2. Factor 0*z - 2/9*z**2 - 2/9*z**3 + a.
-2*z**2*(z + 1)/9
Let m(b) be the second derivative of -b**8/420 + b**7/280 + b**6/360 - b**3 - 3*b. Let l(y) be the second derivative of m(y). Factor l(z).
-z**2*(z - 1)*(4*z + 1)
Factor 27/2*t**4 - 9*t - 2 + 27/4*t**5 - 23/2*t**2 + 9/4*t**3.
(t - 1)*(t + 1)*(3*t + 2)**3/4
Let c = -11 - -16. Let k be 31/c + (-4)/20. Find b, given that -7 - 2*b**5 + 2*b**2 - k*b**3 + 6*b**4 + 7 = 0.
0, 1
Let v = 2 + 4. Let l = v + -2. Solve 6*f**2 - f**3 + 0*f**5 - 6*f**4 + 16*f**5 + f - 18*f**l + 2*f**3 = 0 for f.
-1/4, 0, 1
Let s(t) be the first derivative of -5*t**4/4 - 25*t**3/3 - 10*t**2 + 6. Suppose s(x) = 0. What is x?
-4, -1, 0
Let u = 17/35 - 3/35. Factor u*o**2 + 2/15*o**3 + 0*o + 0.
2*o**2*(o + 3)/15
Let x(g) be the first derivative of g**7/21 - 2*g**6/15 - 3*g**5/10 + 2*g**4/3 + 4*g**3/3 - 2*g + 2. Let s(i) be the first derivative of x(i). Factor s(t).
2*t*(t - 2)**2*(t + 1)**2
Suppose 4*k - 45 = -5*g - k, -5*g + 40 = 4*k. Solve 1/3*p**3 + 0*p + 0*p**2 - 1/3*p**g + 0 = 0 for p.
0, 1
Let s(m) be the second derivative of m**9/30240 - m**7/2520 + m**5/240 + m**4/4 - 3*m. Let a(c) be the third derivative of s(c). Find j, given that a(j) = 0.
-1, 1
Let x(s) be the first derivative of 28*s**5 + 4*s**4 - 16*s**3/3 + 5. Let x(v) = 0. Calculate v.
-2/5, 0, 2/7
Suppose -4*v = -q - 5 - 2, -3*v - 16 = -5*q. Suppose 0*r = -5*k - v*r + 6, 5*k + r - 2 = 0. Factor 4/5*l**3 + 6/5*l**2 + k + 2/5*l.
2*l*(l + 1)*(2*l + 1)/5
Let f(n) be the first derivative of 0*n**3 - 2 - 1/90*n**5 + 1/36*n**4 + 0*n + 1/2*n**2. Let m(v) be the second derivative of f(v). Factor m(x).
-2*x*(x - 1)/3
Let w be (-6)/9 + 14/9. Let p be 1/9*-2*-3. Determine z, given that w*z**3 - 2/9*z**4 - 8/9*z - p*z**2 + 8/9 = 0.
-1, 1, 2
Let h(x) = -11*x**3 - 18*x**2 - 33*x - 10. Let r(u) = 7*u**3 + 12*u**2 + 22*u + 7. Let g(j) = 5*h(j) + 8*r(j). Let g(v) = 0. What is v?
-3, -2, -1
Let i(z) be the second derivative of 2*z**6/75 + 4*z**5/25 + 2*z**4/5 + 8*z**3/15 + 2*z**2/5 + z. Let i(w) = 0. Calculate w.
-1
Let d = -22 - -22. Determine t so that 2/9 - 2/9*t**2 + d*t = 0.
-1, 1
Let p(n) be the first derivative of -n**3 + 7*n**2/2 - 2*n - 8. Suppose p(d) = 0. What is d?
1/3, 2
Let c be 2/(4/36*2). Let m(r) = r**3 - 10*r**2 + 9*r. Let x be m(c). Factor -1/4*g**2 + 0 + x*g.
-g**2/4
Let t = 74776/75 - 997. Let y(q) be the third derivative of -1/1050*q**7 - 8/15*q**3 + 4/15*q**4 - 2/25*q**5 - 4*q**2 + 0 + t*q**6 + 0*q. Factor y(p).
-(p - 2)**4/5
Let k be 1/(-2) + 7/12. Let b = k + 5/36. Solve 2/9*f + 0 - b*f**2 = 0 for f.
0, 1
Let p(f) be the third derivative of 3*f**7/40 + 17*f**6/80 + f**5/80 - f**4/2 - f**3/2 + 28*f**2. Find h such that p(h) = 0.
-1, -2/7, 2/3
Let v = -5/82 - -189/410. Solve v*g**3 - 4/5*g + 2/5*g**2 + 0 = 0 for g.
-2, 0, 1
Let b(w) be the first derivative of -w**6 + 14*w**5/5 - 3*w**4/2 - 2*w**3 + 2*w**2 + 36. Solve b(l) = 0.
-2/3, 0, 1
Let g = -4 - -9. Let l be -1*1*-2 + g. Let -l*o - 2*o**3 + o - 6*o**2 - 2 + 0*o = 0. What is o?
-1
Suppose 7*m + 1 = 22. Let -8/11*r**2 + 6/11*r**m - 2/11*r + 4/11 = 0. Calculate r.
-2/3, 1
Suppose -10 + 5 = y. Let j(t) = 6*t**2 + 5*t + 5. Let b(c) = -3*c**2 - 3*c - 3. Let a(f) = y*b(f) - 3*j(f). Determine x so that a(x) = 0.
0
Let u(c) = -c + 8. Let x be u(7). Determine g, given that -22*g**2 + 17 + 18*g**2 - x = 0.
-2, 2
Let j = -5 - -14. Suppose 0 = l + 2*l - j. Factor 0*m**2 + 1/2*m**4 - m**l - 1/2 + m.
(m - 1)**3*(m + 1)/2
Find v, given that -1 - 3*v - 2*v - v**2 + 2*v + 5*v = 0.
1
Let s be (10 - 4)*(1 - (-1)/(-2)). Determine z so that -z**4 + z**2 + 0 - 2/3*z**s + 2/3*z = 0.
-1, -2/3, 0, 1
Suppose -28 = -3*z - 13, 0 = -5*w - 2*z - 70. Let y = w - -33/2. Factor 1/4 - 1/4*m**4 + y*m**3 - 1/2*m + 0*m**2.
-(m - 1)**3*(m + 1)/4
Let c(d) be the third derivative of -d**7/280 + d**6/80 - d**4/16 + d**3/8 - d**2. Determine l, given that c(l) = 0.
-1, 1
Let -5*s - 16 - 10*s + 7*s + 4*s**2 + 2*s**3 = 0. Calculate s.
-2, 2
Let n(t) be the third derivative of t**6/24 + t**5/3 + 25*t**4/24 + 5*t**3/3 - 28*t**2. What is b in n(b) = 0?
-2, -1
Let h(j) = 22 - 5 + 4 + j. Let b be h(-18). Factor 1/2*g + b*g**3 + 0 + 1/2*g**5 + 2*g**4 + 2*g**2.
g*(g + 1)**4/2
Let m = 19 + -11. Let p(j) be the first derivative of m*j + 77/4*j**4 + 22*j**3 - 26*j**2 - 49/5*j**5 - 1. Factor p(n).
-(n - 2)*(n + 1)*(7*n - 2)**2
Suppose -h = 4*w + 6 + 14, 10 = 2*h - 2*w. Let s(f) = f**3 + 3*f**2 - f - 4. Let c be s(-2). Factor 4/5*o - 2/5*o**3 + 2/5*o**c + h.
-2*o*(o - 2)*(o + 1)/5
What is t in 4*t - 5*t**4 - 18*t**2 + 3*t**4 - 8*t**4 + 24*t**3 = 0?
0, 2/5, 1
Suppose 4/13*h**4 - 4/13*h**2 - 2/13*h + 0*h**3 + 0 + 2/13*h**5 = 0. What is h?
-1, 0, 1
Factor -24*d**3 + 32*d - 4*d**5 + 16*d**4 + 16*d**2 + 23*d - 59*d.
-4*d*(d - 1)**4
Let j(f) be the second derivative of -f**5/130 - f**4/26 - f**3/13 - f**2/13 + 6*f. Factor j(p).
-2*(p + 1)**3/13
Let m(y) be the first derivative of y**3/12 - 3*y**2/8 - 2. Factor m(t).
t*(t - 3)/4
Suppose 0*c - 2*c + 28 = -4*p, -4*c - 4*p = -68. Let s be (-6)/c + 189/56. Factor 4/9*k + 0*k**s - 2/9*k**4 + 2/3*k**2 + 0.
-2*k*(k - 2)*(k + 1)**2/9
Let y = 107/2 - 802/15. Let n(w) be the third derivative of 0*w - 1/3*w**3 + 0 + 0*w**4 + y*w**5 + 2*w**2. Suppose n(z) = 0. What is z?
-1, 1
Let t(m) be the third derivative of -4/21*m**3 - 1/210*m**5 + 0 + 1/21*m**4 - 7*m**2 + 0*m. Factor t(u).
-2*(u - 2)**2/7
Let o(i) be the first derivative of -i