e the second derivative of -y - 1/10*y**5 + 1/15*y**6 - 1/2*y**4 + 5/3*y**3 - 2*y**2 + 0. Determine k, given that p(k) = 0.
-2, 1
Find q, given that 9*q + 2*q**2 - 7*q - 4*q = 0.
0, 1
Let o(g) be the first derivative of -3*g**4/4 + 9*g**2/2 - 6*g + 7. Solve o(c) = 0.
-2, 1
Let p be (-2 + 26/14)/(2/(-4)). Let 50/7*t**2 + p - 20/7*t = 0. Calculate t.
1/5
Factor -12*h + 35*h**4 - 33*h - 12*h**3 - 10 - 25*h**2 + 57*h**3.
5*(h - 1)*(h + 1)**2*(7*h + 2)
Let r be (-19)/(-133)*(0 + 8). Suppose -10/7*d**4 + 0*d + 0 + 16/7*d**3 - r*d**2 + 2/7*d**5 = 0. What is d?
0, 1, 2
Let j be (460/(-69))/(2/6). Let w be 1/((j/(-6))/2). What is s in 3/5*s**2 + w*s + 0 = 0?
-1, 0
Factor 13*r**3 - 3*r**3 + 16*r**2 - 5 - 2*r**2 + r**2.
5*(r + 1)**2*(2*r - 1)
Suppose -d + 5 = 4. Let h(q) = -2*q**3 - 4*q**2 + 2*q + 2. Let p(w) = -w**2 + w + 1. Let g be 5*(-2)/10*2. Let i(n) = d*h(n) + g*p(n). Factor i(v).
-2*v**2*(v + 1)
Suppose -17 = -4*k - 5. Let j(a) be the first derivative of 0*a**2 - 4/5*a**5 - 1/3*a**6 + 2 - 1/2*a**4 + 0*a**k + 0*a. Let j(i) = 0. What is i?
-1, 0
Let i(d) = 5*d + 15. Let b be i(-3). Suppose -2/5*y**4 + 0 + b*y - 2/5*y**2 - 4/5*y**3 = 0. What is y?
-1, 0
Let p(h) be the third derivative of h**5/15 - h**4/2 - 8*h**3/3 - h**2. Factor p(b).
4*(b - 4)*(b + 1)
Let z be (-1 - (-29)/9) + -2. Let -2/9 + 2/9*r + 2/9*r**2 - z*r**3 = 0. Calculate r.
-1, 1
Suppose 1 = -y + l, 2 = 2*y - l - 0. Let k(p) be the second derivative of 0 + p + 1/3*p**2 + 1/2*p**y + 7/36*p**4. Factor k(r).
(r + 1)*(7*r + 2)/3
Let p = 23/14 - 8/7. Let l be (1 + 1)/(4/6). Suppose -p*f**2 - 1/2*f + 1/2 + 1/2*f**l = 0. Calculate f.
-1, 1
Let n(h) be the second derivative of -h**6/150 + h**5/25 + h**4/30 - 2*h**3/5 - 9*h**2/10 + 40*h. Find q such that n(q) = 0.
-1, 3
Let m(d) = -d**2. Let n(o) = 14*o**2 + 4*o + 2. Let s(h) = -12*m(h) - n(h). Factor s(u).
-2*(u + 1)**2
Suppose 3*b = b - 2. Let v be b + 0 + -1 - -4. Factor 8*d**3 - 3*d**2 + 5*d**4 + 4*d**2 + 0*d - v*d.
d*(d + 1)**2*(5*d - 2)
Let v(j) = j**2 - 12*j - 13. Let i(n) = 3*n**2 - 48*n - 51. Let f = 8 - -7. Let x(k) = f*v(k) - 4*i(k). Factor x(a).
3*(a + 1)*(a + 3)
Let z be -3 - 11/3*-1. Let n be (0 - 3) + (-26)/(-6). Factor z*k**2 + 2/3*k - n.
2*(k - 1)*(k + 2)/3
Let v(d) = -1. Let r(q) = -105*q**3 + 93*q**2 + 24*q - 30. Let w(f) = -r(f) + 18*v(f). What is b in w(b) = 0?
-2/5, 2/7, 1
Suppose -6 - 9 = -5*d. Suppose -7 - d = -5*t. Factor 0 - 2/5*x**t + 2/5*x.
-2*x*(x - 1)/5
Let x(h) be the third derivative of h**7/4200 - h**6/1800 - h**5/600 + h**4/120 + h**3/3 - h**2. Let p(l) be the first derivative of x(l). Factor p(f).
(f - 1)**2*(f + 1)/5
Factor -34*n**3 - 24*n + 5*n**4 + n**4 + 21*n**2 + 85*n**3.
3*n*(n + 1)*(n + 8)*(2*n - 1)
Let v be 4/((-8)/6) + 3. Factor v*t**3 - 4*t**2 + 2*t**3 + 2*t**3.
4*t**2*(t - 1)
Let a(r) be the second derivative of r**7/147 + r**6/70 - r**5/70 - r**4/21 + r**2/14 + 6*r. Factor a(s).
(s - 1)*(s + 1)**3*(2*s - 1)/7
Let p = 55 - 50. Let i(a) be the third derivative of 0 + 1/150*a**p - 1/30*a**4 + 0*a + 1/15*a**3 + 2*a**2. What is g in i(g) = 0?
1
Let s(h) = -h**2. Let o(n) = 4*n**4 - 16*n**3 + 22*n**2 - 8*n. Let z(p) = o(p) + 2*s(p). Let z(t) = 0. What is t?
0, 1, 2
Let x(m) be the third derivative of 0*m - 4*m**2 - 1/90*m**5 + 0 + 1/72*m**4 + 1/9*m**3 - 1/360*m**6. Factor x(v).
-(v - 1)*(v + 1)*(v + 2)/3
Let u = -3/220 - -173/4620. Let l(v) be the second derivative of u*v**4 + v + 1/7*v**2 + 2/21*v**3 + 0. Find m, given that l(m) = 0.
-1
Let g = -27 - -29. Let t(l) be the first derivative of -2*l**3 + 1/4*l**4 - 1 + 6*l**g - 8*l. Factor t(i).
(i - 2)**3
Let p = 17 - 15. Factor -x**2 - 21*x**3 - 11*x**p + 25*x**3 + 16.
4*(x - 2)**2*(x + 1)
Let t(w) be the second derivative of w**7/84 - w**6/60 - w**5/8 + w**4/24 + 2*w**3/3 + w**2 + 41*w. Solve t(g) = 0 for g.
-1, 2
Let w(y) be the third derivative of -y**6/48 - 11*y**5/60 - 23*y**4/48 - y**3/2 - 18*y**2. Factor w(r).
-(r + 1)*(r + 3)*(5*r + 2)/2
Factor -1/6*l**4 + 2/3*l - 1/2*l**3 + 0*l**2 + 0.
-l*(l - 1)*(l + 2)**2/6
Let w = 1901/9 + -211. Find q, given that 0*q**2 + 0*q - w*q**3 + 2/9*q**5 + 0*q**4 + 0 = 0.
-1, 0, 1
Let h(d) be the third derivative of -d**5/330 + d**4/66 + 12*d**2. Find p, given that h(p) = 0.
0, 2
Suppose 5*m + 44 = -3*w + 45, -w = -2*m - 4. Factor 0*d + 0 - 2/11*d**3 - 6/11*d**w.
-2*d**2*(d + 3)/11
Let c be (-19)/(-4) - (-9)/(-12). Suppose 0 = -0*a - 4*a + 40. Factor 2*l**2 + c*l**3 - 6*l**4 - 10 + a.
-2*l**2*(l - 1)*(3*l + 1)
Let b be 6/(-2) - (-2 + -5). Find q such that -b*q**4 - 8*q**5 + 2*q**4 - q**5 + 2*q**2 + 9*q**3 = 0.
-1, -2/9, 0, 1
Suppose 6 + 0 = 2*y. Let x = 5 - y. Determine d, given that 0*d**2 - 5*d**2 + 16*d**5 - 3*d**x + 2*d - 6*d**3 + 20*d**4 = 0.
-1, 0, 1/4, 1/2
Let a = 117 + -1052/9. Let j(c) be the first derivative of 0*c - a*c**2 + 2/27*c**3 + 1. Factor j(b).
2*b*(b - 1)/9
Let z(g) be the second derivative of -2*g - 3/10*g**5 + 0*g**3 + 0 - 1/21*g**7 - 1/5*g**6 - 1/6*g**4 + 0*g**2. Factor z(d).
-2*d**2*(d + 1)**3
Let d = 258 - 1278/5. Let i(l) be the first derivative of d*l - 3/5*l**3 - 6/5*l**2 + 3. Suppose i(m) = 0. What is m?
-2, 2/3
Factor -w**4 + 11*w**2 - 2*w**3 - 10*w**2 + 2*w**4.
w**2*(w - 1)**2
Let h(q) = -15*q + 47. Let k be h(3). Find l, given that -1/4*l + 1/8*l**k + 1/8 = 0.
1
Suppose -3*s + 0*s = -g - 756, 2240 = -3*g + 2*s. Let r = -8176/11 - g. Let 8/11 + r*n + 2/11*n**2 = 0. What is n?
-2
Let r(l) be the third derivative of -l**11/1995840 + l**9/362880 + l**5/10 - 2*l**2. Let s(v) be the third derivative of r(v). Factor s(z).
-z**3*(z - 1)*(z + 1)/6
Factor y - 2*y**2 + 6*y - 8*y - y.
-2*y*(y + 1)
Let t(b) be the second derivative of -b**5/90 + b**3/27 - 3*b. Solve t(d) = 0.
-1, 0, 1
Let x(y) be the first derivative of y**4/10 - 2*y**3/5 + 3*y**2/5 - 2*y/5 + 1. Solve x(f) = 0.
1
Let d(x) be the third derivative of x**8/448 + x**7/56 + x**6/20 + x**5/20 + x**2. Factor d(c).
3*c**2*(c + 1)*(c + 2)**2/4
Let y = 306 - 304. Suppose 0 + 0*a + 1/4*a**3 + 1/4*a**y = 0. What is a?
-1, 0
Find t, given that -3*t**4 - 14*t**3 + 5*t**2 + 13*t**3 - 2*t**2 + t**5 = 0.
-1, 0, 1, 3
Let j(l) = -3*l**2 - 6*l + 12. Let h(w) = -8*w**2 - 19*w + 36. Let p(b) = -6*h(b) + 17*j(b). Factor p(f).
-3*(f - 2)**2
Let c = 838 - 806. Determine g so that 128/3*g**5 - 488/3*g**3 - c*g + 32*g**4 - 382/3*g**2 - 8/3 = 0.
-2, -1/4, 2
Let q = 310/3 - 103. Suppose 2/3*u**2 - q*u + 1/3*u**3 + 0 - 2/3*u**4 = 0. What is u?
-1, 0, 1/2, 1
Let s(q) = -3*q**2 - 5*q + 19. Let t(k) = -2*k**2 - 2*k + 10. Let w(g) = -6*s(g) + 11*t(g). Determine r, given that w(r) = 0.
1
Let d(w) be the second derivative of -w**6/30 - w**5/20 + w**4/4 + 5*w**3/6 + w**2 - 8*w. Factor d(k).
-(k - 2)*(k + 1)**3
What is q in -4/9*q**3 + 0 - 8/9*q**2 + 4/3*q = 0?
-3, 0, 1
Suppose 0 = 2*s + 4*o + 8, -1 + 6 = s - o. Let i be (0/s)/(-1 - -2). Solve -1/3*j**3 + i*j + 0 + 1/3*j**2 = 0.
0, 1
Let 0 + 6/13*p**5 + 0*p + 8/13*p**2 - 30/13*p**3 + 16/13*p**4 = 0. What is p?
-4, 0, 1/3, 1
Find i such that 1/2*i + 0*i**2 - i**3 + 1/2*i**5 + 0*i**4 + 0 = 0.
-1, 0, 1
Find r, given that 0 - 2/3*r + 2/3*r**2 = 0.
0, 1
Let x be (-1)/(-1*(-174)/(-226)). Let v = 1/29 + x. Solve 10/3*s**2 - v*s**3 + 2/3 - 8/3*s = 0.
1/2, 1
Suppose -3*v - 12 = -213. Let s = 337/5 - v. What is f in 4/5 - s*f**2 + 2/5*f = 0?
-1, 2
Let a(d) be the second derivative of d**7/21 + d**6/3 + 9*d**5/10 + 7*d**4/6 + 2*d**3/3 - 8*d. Determine p, given that a(p) = 0.
-2, -1, 0
Suppose 0 = 2*b - 0 - 62. Let i = b + -31. Suppose i + 2/5*q**3 + 0*q + 2/5*q**2 = 0. Calculate q.
-1, 0
Let -1 + 4/5*x + 1/5*x**2 = 0. What is x?
-5, 1
Let m(b) be the second derivative of -b**5/50 - b**4/10 - b**3/5 - b**2/5 + 26*b. Factor m(r).
-2*(r + 1)**3/5
Suppose 9 = -2*k - 1. Let d(z) = z**2 + 4*z - 5. Let j be d(k). Determine r so that 1/3*r**2 + 0 + j*r = 0.
0
Let q(w) = w**2 - w. Suppose -5*u - 38 = -2*y - 3, -3*y + 5*u + 40 = 0. Let m(x) = 6*x**2 - 7*x + 1. Let h(d) = y*q(d) - m(d). Factor h(a).
-(a - 1)**2
Let p = 333 - 997/3. Find v such that -2/3*v**3 - 2*v**2 + 4/3 + p*v**4 + 2/3*v = 0.
-1, 1, 2
Factor -3/7*y**5 + 12/7*y**4 + 12/7*y - 30/7*y**2 + 24/7 - 3/7*y**3.
-3*(y - 2)**3*(y + 1)**2/7
Suppose 3*v = 12, j + 4*v = 4*j - 8. Let f(w) = -w**2 + 10*w - 11. Let a be f(j). Factor 3*b**a - 6*b**5 + 4*b**3 - 2*b + b**5.
-2*b*(b - 1)*