**4/6 + 5*k**3/3 + 36*k**2 + 18*k. Let q(y) = 0. What is y?
-4, 9
Let c(z) be the first derivative of z**3/3 - z**2/2 - 42*z + 45. Find l, given that c(l) = 0.
-6, 7
Let v(b) = b**3 - 13*b**2 - 26*b - 15. Let s(i) = i**3 - 27*i**2 - 52*i - 29. Let p(c) = 3*s(c) - 5*v(c). Factor p(w).
-2*(w + 1)**2*(w + 6)
Suppose 2*o = 4*o - 6. Factor -8*x**2 + 2*x**o + 15*x**2 - x**2.
2*x**2*(x + 3)
Let n(f) be the third derivative of 9*f**2 + 1/96*f**4 + 0*f + 0 + 0*f**3 - 1/240*f**5. Solve n(h) = 0 for h.
0, 1
Let p(m) = -3*m - 12. Let t be p(-5). Let v(c) = -t*c + 10 + 3*c + 15*c. Let o(f) = -f**2 + 14*f + 11. Let y(w) = 5*o(w) - 4*v(w). Factor y(r).
-5*(r - 3)*(r + 1)
Let p(i) be the third derivative of 9/2*i**4 + 0 - 41/40*i**6 - 8*i**3 + 7/5*i**5 - 6/35*i**7 + 5/112*i**8 + 6*i**2 + 0*i. Let p(j) = 0. Calculate j.
-2, -1, 2/5, 1, 4
Let y(m) = m + 6. Let w be y(6). Suppose n + w = 4*n. Let 2*u**2 - n*u**2 + 2*u**2 - 2*u**4 = 0. What is u?
0
Let v = 1 + 1. Suppose 4*k + 5*s - 20 = s, -2 = v*k - 4*s. Let -28*y**3 - 3*y**5 - k*y**5 - 30*y**4 - 3*y**5 - 7*y**2 - y**2 = 0. What is y?
-2, -2/3, 0
Let c = 4 + -12. Let h be 35/(-14)*c/10. Factor 0 + 0*f - 1/6*f**h.
-f**2/6
Let v(z) be the third derivative of z**6/180 + z**5/15 - 25*z**4/36 + 2*z**3 - 15*z**2 - 5. Factor v(g).
2*(g - 2)*(g - 1)*(g + 9)/3
Let q(i) be the second derivative of -i**4/24 + 19*i**3/12 - 15*i**2 + 95*i. Factor q(k).
-(k - 15)*(k - 4)/2
Let k = 15/29 - 19/261. Let m = -268/9 - -30. Solve 0*d + 0 - m*d**3 - k*d**2 = 0.
-2, 0
Suppose 3 = 2*r - r. Let o = 14 - 7. Suppose -4*t**3 - 16*t**2 - 6 + t**3 - 2 + 20*t + o*t**r = 0. What is t?
1, 2
Let x(z) be the third derivative of -10*z**7/21 + 19*z**6/12 + 1279*z**5/240 + 61*z**4/48 + z**3/8 + 49*z**2. Find p such that x(p) = 0.
-1, -1/20, 3
Let p = 50901/11 - 4627. Let p*f + 0 - 2/11*f**3 + 2/11*f**2 = 0. What is f?
-1, 0, 2
Factor -111*x**3 - 54*x**2 + 291*x - 291*x - 60*x**4 - 3*x**5.
-3*x**2*(x + 1)**2*(x + 18)
Suppose 0 = v + 7 - 10. Suppose 0 = x + 4*x - 20. Factor -8*p**4 + 4*p**v + 6*p**x - 2*p + 2*p**2 - 2*p.
-2*p*(p - 2)*(p - 1)*(p + 1)
Let q(u) be the second derivative of -u**7/84 - u**6/60 + 3*u**5/40 + u**4/24 - u**3/6 - 207*u. Suppose q(x) = 0. What is x?
-2, -1, 0, 1
Let s = 26827/15075 - 3/1675. Let l(y) be the first derivative of 4/3*y**2 + 4/9*y**3 + s*y + 1/18*y**4 + 5. Factor l(g).
2*(g + 2)**3/9
Suppose 3*s + 2*w + 8 = w, 5*s - 5*w + 40 = 0. Let c(d) = d**3 + 5*d**2 + 5*d + 6. Let k be c(s). Let k*a - 2*a - 3*a - 6*a + 3*a**2 = 0. Calculate a.
0, 3
Let l(r) be the second derivative of -2*r**6/15 - 14*r**5/5 - 13*r**4/3 - r + 50. Let l(z) = 0. What is z?
-13, -1, 0
Let z(l) = -l**2 - l. Let c be z(-1). Let s be (2104/(-1315))/((-2)/5). Find u, given that c + 1/4*u**3 - 1/4*u - 1/4*u**s + 1/4*u**2 = 0.
-1, 0, 1
Find y, given that 0 + 1/3*y**2 - 8/3*y**3 + 0*y - 3*y**4 = 0.
-1, 0, 1/9
Let s = 710 - 498. Suppose 6 = -210*c + s*c. Factor -8/5*a**c - 6/5*a**2 + 2/5*a + 0.
-2*a*(a + 1)*(4*a - 1)/5
Let c be (-45)/(-35)*(50/12 + -3). Solve c*l**2 - 3/4*l + 0 - 3/4*l**3 = 0.
0, 1
Factor -15759/5*q**2 - 2/5*q**4 + 54621*q + 307/5*q**3 - 132651/5.
-(q - 51)**3*(2*q - 1)/5
Factor 0 + 1/2*u**4 + 5/2*u**3 + 0*u + 2*u**2.
u**2*(u + 1)*(u + 4)/2
Let s = 47/252 - -1/28. Factor -4/9*o + s + 2/9*o**2.
2*(o - 1)**2/9
Let t be (224/(-35))/((-44)/20). Suppose l - 5 = -2. Let -t - 32/11*f + 2/11*f**4 + 8/11*f**l + 0*f**2 = 0. What is f?
-2, 2
Let l(t) = -4*t**3 + 5*t**2 + 12*t - 13. Let z(u) = 6*u**3 - 8*u**2 - 18*u + 20. Let h = 116 + -108. Let d(m) = h*l(m) + 5*z(m). Solve d(o) = 0.
-2, 1
Let l(q) be the first derivative of q**4/16 + q**3/12 - 5*q**2/8 + 3*q/4 + 95. Factor l(z).
(z - 1)**2*(z + 3)/4
Let v be 7 - (-4)/6*(-13)/((-130)/(-75)). Factor 1/10*n**4 - 1/10*n**v + 0 + 0*n**3 + 0*n.
n**2*(n - 1)*(n + 1)/10
Suppose -4*y + 0*o - o + 8 = 0, 0 = 2*y - 3*o - 18. Suppose -2*g = -0*g - 4*u + 12, y*u - 4 = 4*g. Factor -z**5 - 2*z**3 + 6*z**4 - g*z**5 - z**3.
-3*z**3*(z - 1)**2
Let i = 2671/1116 - 40/279. Let m be (-1)/3*(-6)/8. Determine o, given that -m*o**2 - i - 3/2*o = 0.
-3
Find c such that 12*c - 903 + 3*c + 891 - 3*c**2 = 0.
1, 4
Let b(q) be the second derivative of 0*q**2 + 1/28*q**7 - 18*q + 0 + 21/8*q**5 + 0*q**3 + 11/20*q**6 + 25/8*q**4. Let b(k) = 0. What is k?
-5, -1, 0
Let v be ((2 - (-133)/(-21)) + 5)/20. Let p(a) be the third derivative of 0*a**3 - v*a**5 + 0 + 0*a + 2*a**2 + 1/6*a**4. Determine h so that p(h) = 0.
0, 2
Let l = -204 + 213. Let n(v) be the second derivative of l*v + 0 + 0*v**2 + 1/15*v**3 - 1/100*v**5 - 1/60*v**4. Factor n(k).
-k*(k - 1)*(k + 2)/5
Let s(n) be the third derivative of 0*n + 3/20*n**5 + 10*n**2 + 0*n**4 + 0 - 1/40*n**6 + 0*n**3. Solve s(w) = 0.
0, 3
Find k, given that 0*k + 0 - 8/7*k**2 + 2/7*k**3 = 0.
0, 4
Let y(a) be the third derivative of -3/5*a**5 - 1/6*a**6 + 0*a + 5/6*a**4 + 4/3*a**3 + 2*a**2 + 2/15*a**7 + 2. Factor y(z).
4*(z - 1)**2*(z + 1)*(7*z + 2)
Let i(h) = 3*h**3 + 19*h**2 + 48*h - 5. Let r(w) = -w**2 - 1. Let s(y) = i(y) - 5*r(y). Determine z, given that s(z) = 0.
-4, 0
Determine a, given that 4/7*a**4 + 0*a**2 - 4/7 + 10/7*a - 10/7*a**3 = 0.
-1, 1/2, 1, 2
Factor 0 - 276/7*k - 3/7*k**2.
-3*k*(k + 92)/7
Suppose -14*n - 20*n + 99 = -3. Factor -36/7*l - 16/7*l**n - 2/7*l**4 - 6*l**2 + 0.
-2*l*(l + 2)*(l + 3)**2/7
Let v(z) be the first derivative of 28/45*z**5 - 14 - 28/9*z**3 + 2/9*z**4 - 16/9*z - 40/9*z**2. Let v(o) = 0. What is o?
-1, -2/7, 2
Let b(w) be the first derivative of 4/5*w - 25 - 1/5*w**2 - 2/15*w**3. What is l in b(l) = 0?
-2, 1
Let -3/2 + 35/6*m + 2/3*m**2 = 0. Calculate m.
-9, 1/4
Factor -4/3 + 2/3*i**3 - 2*i + 0*i**2.
2*(i - 2)*(i + 1)**2/3
Solve -210*u - 2*u**3 + 18*u - 2*u**3 - 21*u**2 - 39*u**2 + 256 = 0 for u.
-8, 1
Let b be (-3 - 13/(-4))*8. Let j be 48/18 + b/(-3). Find z such that 1/4*z**j + 1/4 - 1/2*z = 0.
1
Let z = -1388 - -9732/7. Factor 8/7*f**3 + 0 + 4*f**2 - z*f.
4*f*(f + 4)*(2*f - 1)/7
Let x(p) be the third derivative of p**8/168 + 17*p**7/105 + 31*p**6/60 + p**5/2 + 3*p**2 + 42*p. Factor x(w).
2*w**2*(w + 1)**2*(w + 15)
Suppose 3/7*q**2 + 48/7 - 30/7*q = 0. Calculate q.
2, 8
Let v = 353/130 + -21/10. Let n = -14/65 + v. Factor 0 + 0*y + 0*y**3 + 2/5*y**4 - n*y**2.
2*y**2*(y - 1)*(y + 1)/5
Factor 81/2 - 63888*j**3 - 1188*j + 117128*j**4 + 13068*j**2.
(22*j - 3)**4/2
Let y(k) be the first derivative of -8*k**5/55 + 19*k**4/22 - 56*k**3/33 + 12*k**2/11 - 347. What is c in y(c) = 0?
0, 3/4, 2
Let f(q) be the first derivative of -4*q**3/3 - 86*q**2 + 360*q - 40. Let f(r) = 0. What is r?
-45, 2
Suppose x = 5*p, -x + p + 18 = 5*p. Find c such that -x*c**2 + 9*c**2 - c**3 + 0*c**3 = 0.
-1, 0
Let d(b) be the second derivative of -b**4 + 34/3*b**3 + 2*b - 20*b**2 - 15. What is c in d(c) = 0?
2/3, 5
Suppose 0 = 5*h + 3*u - 21, -h - u = 4 - 9. Solve 6/5*d - 4/5*d**h + 8/5*d**4 - 8/5*d**2 + 0 - 2/5*d**5 = 0.
-1, 0, 1, 3
Let r(g) be the first derivative of g**5 - 45*g**4/4 - 25*g**3 + 265*g**2/2 - 150*g + 49. Let r(h) = 0. Calculate h.
-3, 1, 10
Let -3 - 1/10*k**2 - 17/10*k = 0. What is k?
-15, -2
Let n be (6/15)/(2/10). Suppose 21 - 103 = -82*l. Determine s so that 7/2*s + 5/2*s**n + l = 0.
-1, -2/5
Let f be 147/9 + 1/(-3). Suppose 5*l + 5*q - f = 3*q, -10 = 5*q. Suppose 10*s**4 - 6*s**3 - 2*s**5 + 4*s**2 - 2*s**l - 4*s**3 = 0. Calculate s.
0, 1, 2
Determine j, given that 1/4*j**2 + 0 - 3/2*j = 0.
0, 6
Let l(v) be the second derivative of -v**6/30 - v**5/10 + v**4/12 + v**3/3 + 21*v - 2. Factor l(y).
-y*(y - 1)*(y + 1)*(y + 2)
Let r be ((-3)/22)/((44 - 30) + (-320)/22). Determine i so that -4*i + 5 + r*i**2 + 1/4*i**3 = 0.
-5, 2
Let b(q) = q**2 + 11*q + 6. Let g be b(-8). Let k = g - -18. Find s such that 0*s**2 + 0*s**4 + 0 + k*s + 1/2*s**5 + 0*s**3 = 0.
0
Let o(t) be the first derivative of 1/4*t**2 + 6 - 1/24*t**4 + 2*t + 0*t**3. Let j(v) be the first derivative of o(v). Solve j(y) = 0.
-1, 1
Let y(p) be the second derivative of 1/6*p**3 + 0 + 3*p**2 + 15*p - 1/12*p**4. Factor y(u).
-(u - 3)*(u + 2)
Let w(c) be the second derivative of c**8/4200 - c**7/1050 + c**6/900 - 2*c**3 + 3*c. Let i(s) be the second derivative of w(s). Factor i(h).
2*h**2*(h - 1)**2/5
Factor -4/3 - 744*u**2 - 2808*u**3 - 170/3*u.
-2*(13*u + 2)*(18*u + 1)**2/3
Suppose 511 = 3*y - l, 9*y - 6*y