*2 - 56*d - 8. Let p(f) = f**2 + f - 1. Let a(k) = -j(k) + 24*p(k). What is g in a(g) = 0?
2/7, 2/3
Solve 36/5*u**2 - 24/5*u + 3/5*u**5 - 6/5*u**3 + 0 - 9/5*u**4 = 0 for u.
-2, 0, 1, 2
Let x(y) = y**3 - 8*y**2 - 8*y + 1. Let s be x(9). Suppose -d - s = -3*d. Solve 2/3*i**3 - 2/9*i**2 + 0*i + 2/9*i**d - 2/3*i**4 + 0 = 0 for i.
0, 1
Factor 374 - 3*o**5 + 12*o**4 + 12*o**2 - 18*o**3 - 374 - 3*o.
-3*o*(o - 1)**4
Let y(n) be the third derivative of n**7/105 - n**6/90 - n**5/90 - 5*n**2. What is o in y(o) = 0?
-1/3, 0, 1
Let w(o) = -3*o**2 - 18*o. Let m be w(-6). Solve 0 + 2/5*g**4 - 6/5*g**2 + m*g**3 + 4/5*g = 0.
-2, 0, 1
Let r(j) be the third derivative of 0*j + 0*j**3 + 0 - j**2 - 1/48*j**4 - 1/120*j**5. Factor r(k).
-k*(k + 1)/2
Let v(h) be the third derivative of 0*h + 1/240*h**6 + 0*h**4 - 2*h**2 + 0*h**5 + 0 + 0*h**3. Determine x so that v(x) = 0.
0
Let i(y) be the second derivative of 1/54*y**4 + 0 - 1/9*y**2 + 0*y**3 + 3*y. Factor i(c).
2*(c - 1)*(c + 1)/9
Let d be 21/(-5) - -5 - (-2)/(-10). Solve -d*c - 1/5*c**2 - 2/5 = 0.
-2, -1
Factor 0 - 2/7*t + 12/7*t**2.
2*t*(6*t - 1)/7
Determine x, given that 4/3*x**3 - 16/3*x + 2/9*x**4 + 32/9 + 2/9*x**2 = 0.
-4, 1
Suppose -2*f - 18 = -4*f. Let w = 11 - f. Factor 0*t + 0 + 8/3*t**4 + 0*t**w + 8/3*t**5 + 2/3*t**3.
2*t**3*(2*t + 1)**2/3
Suppose 5*o - o - 64 = 0. Suppose -4*q + o = -0*q. Find y, given that 0 + 0*y**3 + 0*y**2 + 2/9*y**q + 0*y = 0.
0
Suppose 0 = -4*c + 6*c. Solve -2/3*d**2 + c + 2/3*d**4 - 1/3*d + 0*d**3 + 1/3*d**5 = 0 for d.
-1, 0, 1
Suppose 9 = r + 8*m - 4*m, 3*m = 5*r - 22. Factor 2/5*u**r + 6/5*u**3 - 6/5*u**4 - 2/5*u**2 + 0 + 0*u.
2*u**2*(u - 1)**3/5
Let t be (2/(-2))/(2/(-6)). Let r = 7 - t. Factor -2 + 2*v + 2*v**4 + 2*v - 8*v**3 + r*v**3.
2*(v - 1)**3*(v + 1)
Suppose -g = 4*q - 17, -6 = -5*q - 3*g + 10. Factor -11*v**3 + 2*v**3 - v**5 + v**2 + 4*v**q + 5*v**2.
3*v**2*(v - 1)**2*(v + 2)
Let r(x) be the first derivative of 25*x**4/4 + 70*x**3/3 + 22*x**2 + 8*x + 4. Factor r(i).
(i + 2)*(5*i + 2)**2
Let s(d) be the third derivative of -d**6/360 + d**5/60 + d**3/3 - 3*d**2. Let p(c) be the first derivative of s(c). Factor p(g).
-g*(g - 2)
Let i(y) be the second derivative of -2*y**6/15 - 3*y**5/5 - 2*y**4/3 - 30*y. Factor i(p).
-4*p**2*(p + 1)*(p + 2)
Suppose 0*d = -d - p, 3*d - p - 16 = 0. Factor -3*h**2 - 5*h**d - h**3 + 2*h**4 + 0*h**2 + 7*h**3.
-3*h**2*(h - 1)**2
Let h(l) be the second derivative of l**7/840 - l**6/360 + l**3/3 - 2*l. Let v(u) be the second derivative of h(u). Let v(q) = 0. Calculate q.
0, 1
Let a(k) be the second derivative of 1/6*k**4 - 2*k + 1/3*k**3 + 1/30*k**5 + 1/3*k**2 + 0. Factor a(r).
2*(r + 1)**3/3
Let w(f) = -f**2 - 50*f - 369. Let q be w(-9). Find h such that 3/7*h**4 + q*h**2 - 3/7*h**3 + 0*h + 0 = 0.
0, 1
Let s = -2 + 1. Let p = 2 - s. Factor 2*r**p + 4*r**4 - 2*r**5 + 6*r**5 - 2*r**5.
2*r**3*(r + 1)**2
What is b in -60 + 5*b + 110 - 10*b**2 + 5*b**3 - 50 = 0?
0, 1
Let w = 103/1344 + -1/192. Let s(z) be the first derivative of -2 - 2/21*z**3 - 1/7*z**2 + w*z**4 + 2/7*z. Factor s(k).
2*(k - 1)**2*(k + 1)/7
Suppose 31*k - 29*k = 0. Let w(a) be the third derivative of k*a + 0*a**3 - 1/180*a**6 + 0 + 1/108*a**4 - a**2 - 1/135*a**5. Determine h, given that w(h) = 0.
-1, 0, 1/3
Factor -5771*x**2 + 21 - 75*x + 5*x - 2*x**3 + 29 + 5793*x**2.
-2*(x - 5)**2*(x - 1)
Let q be (-57)/133 + 62/112. Let s(m) be the first derivative of 2 - q*m**2 + 1/12*m**3 + 0*m. Factor s(g).
g*(g - 1)/4
Find n, given that 34*n + 17*n - 21*n**2 - 12 + 3*n - 6*n = 0.
2/7, 2
Let i(r) be the third derivative of r**7/210 + r**6/30 + 4*r**3/3 - 3*r**2. Let l(w) be the first derivative of i(w). Factor l(v).
4*v**2*(v + 3)
Let t(f) = 2*f**3 + 16*f**2 - 16*f + 21. Let z be t(-9). Factor 0 - 2/3*q**z + 0*q**2 + 2/3*q.
-2*q*(q - 1)*(q + 1)/3
Let t = -23/2 + 173/15. Let l(k) be the third derivative of 0*k**5 - 1/1050*k**7 + 0*k - 1/200*k**6 + t*k**4 + 2*k**2 + 0 + 0*k**3. Factor l(w).
-w*(w - 1)*(w + 2)**2/5
Let d(j) be the second derivative of -j**8/6720 + j**7/1680 - j**5/240 + j**4/96 - j**3/2 + j. Let b(q) be the second derivative of d(q). Factor b(f).
-(f - 1)**3*(f + 1)/4
Suppose -2*v + 3 = 5*p - 1, p + v = -1. Suppose -o + 3 = -s - 3, 0 = -p*s - 4. Solve -6*m**2 + m**2 + o*m**2 = 0.
0
Let d be 6*(-1 - (-2)/(-4)). Let m be ((-24)/d)/(-1) - -3. Let 0*f + 0 - m*f**2 = 0. What is f?
0
Let f(l) = 3*l**2 - 50*l + 30. Let w(h) = h**2 - 17*h + 10. Let k(u) = -6*f(u) + 17*w(u). Let k(y) = 0. Calculate y.
1, 10
Suppose -79*v**2 + 157*v**2 + 2 + 2*v**4 - 82*v**2 = 0. What is v?
-1, 1
Let v(o) be the second derivative of 0*o**2 + 0*o**5 + 0*o**4 + 0*o**3 + 1/21*o**7 - 2/15*o**6 - 3*o + 0. Determine l so that v(l) = 0.
0, 2
Let s(t) be the first derivative of 3*t**6/2 + 9*t**5/5 + 3*t**4/4 + t**3/9 - 17. Suppose s(k) = 0. Calculate k.
-1/3, 0
Determine f so that 400/7 + 4/7*f**2 + 80/7*f = 0.
-10
Let j(u) = -6 + 8 + 2*u**2 + 4*u - 3*u**2. Let g be j(4). Let 0*s**g + 0 + 0*s + 1/2*s**3 + 1/2*s**4 = 0. Calculate s.
-1, 0
Let z(h) = 8*h + 8. Let s be z(-1). Solve 0*u + 2/7*u**2 + 2/7*u**4 - 4/7*u**3 + s = 0 for u.
0, 1
Let t(i) = i**3 - i**2 + i. Let j be (7/3 + -2)*-12. Let a(x) = 6*x**3 - 4*x**2 + 4*x. Suppose 0 = 3*y - 3. Let r(g) = j*t(g) + y*a(g). Factor r(f).
2*f**3
Let 4/7*p**2 + 12/7*p**4 + 0*p + 0 + 12/7*p**3 + 4/7*p**5 = 0. What is p?
-1, 0
Let x(q) = 6*q**2 + q**3 - 8*q**4 - q**3 + 9*q. Let y(i) = 4*i**4 - 3*i**2 - 5*i. Let f(b) = -6*x(b) - 11*y(b). Find v, given that f(v) = 0.
-1, 0, 1/2
Let z(l) = 3*l**2 - 1. Let s be z(-1). Let o = s - -1. Factor 4 + 3 - 3 + 2 - 9*x + o*x**2.
3*(x - 2)*(x - 1)
Let t = -9 + 11. Factor 3*s**2 + 3*s**t + 3*s**3 - 4*s**2 + 4*s**2 - 9*s.
3*s*(s - 1)*(s + 3)
Let i be ((-60)/(-175))/((-3)/(-21)). Determine o, given that o**3 + i*o**2 + 2/5 + 9/5*o = 0.
-1, -2/5
Factor a**3 - 3/2*a**2 - 2*a + 1/2*a**4 + 2.
(a - 1)**2*(a + 2)**2/2
Let f(o) be the first derivative of -7*o**4 - 76*o**3/3 - 16*o**2 + 16*o + 11. Let f(k) = 0. Calculate k.
-2, -1, 2/7
Let w be (-109)/(-5) - 2/(-10). Let f be (-4)/8 + w/4. Factor -3/4*m + 1/4 + 1/4*m**f - 3/4*m**4 + 1/2*m**3 + 1/2*m**2.
(m - 1)**4*(m + 1)/4
Let r be 8/(-3) + (10 - (0 - -7)). Let -2/3 + r*t**2 - 1/3*t = 0. What is t?
-1, 2
Let x(v) be the first derivative of -v**3/3 - v**2 - 53. Factor x(s).
-s*(s + 2)
Let s(i) be the first derivative of -i**5/70 + i**4/42 + 2*i**3/21 - 3*i + 1. Let l(u) be the first derivative of s(u). Suppose l(g) = 0. Calculate g.
-1, 0, 2
Let n = -78 + 704/9. Let t be 0 - 40/(-135)*6. Factor t*y + 32/9*y**2 + n.
2*(4*y + 1)**2/9
Let z = 245 - 487/2. Let n be 2 + (-2)/((-8)/(-6)). Suppose -z*p + n*p**2 + 1 = 0. What is p?
1, 2
Suppose 2*r - r - 3 = 2*h, 0 = -2*h - 4*r - 28. Let y be 5/(-18) + h/(-8). Solve 0 - 2/9*o - y*o**4 - 2/3*o**3 - 2/3*o**2 = 0 for o.
-1, 0
Solve 1/2*a**2 + 1/2*a + 0 = 0.
-1, 0
Let x = 41 + -163/4. Factor 0 - x*j**4 + 1/4*j + 1/4*j**2 - 1/4*j**3.
-j*(j - 1)*(j + 1)**2/4
Let h(y) = y**3 + y**2 - y + 1. Let m(p) = 12*p**3 + 12*p**2 - 12*p + 18. Let c(a) = 15*h(a) - m(a). Factor c(q).
3*(q - 1)*(q + 1)**2
Determine c, given that 1/4*c**2 + 1/4 + 1/2*c = 0.
-1
Suppose 0 = -5*o + 15. Solve i**2 - 2*i - 2*i + 0*i + o + 1 = 0 for i.
2
Let h(a) be the first derivative of -2*a**3/21 + 2*a/7 + 14. Solve h(j) = 0.
-1, 1
Let z(y) be the first derivative of 1/3*y**3 - 10 + 1/4*y**4 - 1/5*y**5 - 1/6*y**6 + 0*y**2 + 0*y. Suppose z(b) = 0. What is b?
-1, 0, 1
Suppose -i + 3*n + 18 = 0, 3*i + 3*n = 2*i - 12. Factor -1/3*j + 0 - 4/3*j**2 - 4/3*j**4 - 2*j**i - 1/3*j**5.
-j*(j + 1)**4/3
Let f = 80 - 80. Factor 2/9*b**3 + f*b + 0 + 2/9*b**5 - 4/9*b**4 + 0*b**2.
2*b**3*(b - 1)**2/9
Suppose 14 = -3*j + 2*j - 5*n, -2*n = 5*j + 1. Let y be ((-1)/j)/(1/(-2)). Factor 5*z - 2*z - y*z**2 - z.
-2*z*(z - 1)
Let s be ((-25)/(-15))/(4/12). Suppose 0 = -s*h - 0*h + 15. Find a, given that -2/9*a**h + 0 + 2/9*a**2 + 2/9*a - 2/9*a**4 = 0.
-1, 0, 1
Let a(u) be the first derivative of 3*u**6/2 - 39*u**5/5 + 51*u**4/4 - 3*u**3 - 12*u**2 + 12*u + 11. Let a(d) = 0. What is d?
-2/3, 1, 2
Let n(v) be the second derivative of -v**6/420 - v**5/210 - 7*v**2/2 - 2*v. Let j(a) be the first derivative of n(a). Let j(f) = 0. Calculate f.
-1, 0
Let q(n) be the third derivative of 2/3*n**3 + 0*n + 0 + 6*n**2 - 1/15*n**5 + 