1/360*g**5 + 0*g + 0*g**4 + 0*g**3. Solve q(r) = 0 for r.
-1, 0
Solve -3/7*d**2 - 48/7*d - 192/7 = 0 for d.
-8
Let r = -236 + -267. Let g = r + 503. Find t such that g - 9/2*t**5 - 3/8*t**2 - 3/8*t + 39/8*t**3 + 3/8*t**4 = 0.
-1, -1/4, 0, 1/3, 1
Let j = 313 - 301. Suppose -16 = -k - j. Determine f so that -3/2 - 15/2*f**k - 15*f**3 - 15*f**2 - 3/2*f**5 - 15/2*f = 0.
-1
Let o = 935/2439 - 131/813. Determine y, given that o*y**5 + 2/3*y - 4/9*y**4 + 4/9*y**2 - 8/9*y**3 + 0 = 0.
-1, 0, 1, 3
Let v(q) be the first derivative of q**3/3 + 1131*q**2 - 2263*q + 14889. Factor v(b).
(b - 1)*(b + 2263)
Let k(u) = 3401*u + 23831. Let o be k(-7). Factor -57/2*b + 15/2 + 6*b**3 + o*b**2.
3*(b + 5)*(2*b - 1)**2/2
Let r be 252/(-105) + 20176/4940. Let 0 - 8/19*x**2 - r*x**3 - 10/19*x**4 + 0*x + 14/19*x**5 = 0. Calculate x.
-1, -2/7, 0, 2
Suppose -41*y - 16*y - 12*y = -15*y. Factor -4/9*g**3 + 2/9*g + 2/9*g**5 + y + 0*g**2 + 0*g**4.
2*g*(g - 1)**2*(g + 1)**2/9
Suppose 21 - 8 = z. Find r such that -3*r + z*r**3 + 0*r - r - 14*r**2 - 131 - 3*r**4 + 139 = 0.
-2/3, 1, 2
Let r(q) be the first derivative of q**6/2 - 18*q**5/5 - 3*q**4 + 24*q**3 - 935. Suppose r(v) = 0. What is v?
-2, 0, 2, 6
Suppose 33*s = 3488 + 670. Let g be 117/s + 3/(-7). Solve g*i**3 + 0*i + 1/2*i**5 + 0*i**2 - i**4 + 0 = 0.
0, 1
Solve -568/3*z**2 + 2/3*z**4 + 0 + 16/3*z**3 + 352*z = 0 for z.
-22, 0, 2, 12
Let z(p) = -p**3 - 2*p**2 + 34*p + 7. Let u be z(-7). Factor -297*m + 610*m + u - 287*m + 10*m**2 - 2*m**3.
-2*(m - 7)*(m + 1)**2
Let u(k) be the second derivative of -9*k - 1/100*k**5 - 1/5*k**2 + 0*k**4 - 11 + 1/10*k**3. Determine r, given that u(r) = 0.
-2, 1
Let k be 0 + (2 - (1 - 1)). Let o(m) = -3*m**2 + 259*m - 59. Let v be o(86). Let -3 + v*n - 243/4*n**k = 0. Calculate n.
2/9
Suppose 5*x = -0*d + 2*d + 68042, -5*x + 68041 = -d. Factor -3*h**5 + x + 3*h**3 - 13608.
-3*h**3*(h - 1)*(h + 1)
Let a = -66 + 61. Let q be 2*a/(-20)*10. Determine k, given that -14*k**2 + 9*k**2 - 20 + 16*k**3 + 9*k**3 + 5*k**4 - q*k**5 - 40*k = 0.
-1, 2
Factor -36*d**2 + 0*d**3 - 4500 + 26*d**2 - 1200*d - 62*d**2 - 3*d**3 - 33*d**2.
-3*(d + 10)**2*(d + 15)
Let a(m) = -m**4 - m**2. Let x(c) = 2*c**4 - 20*c**3 - 34*c**2 + 48*c. Let z(f) = -2*a(f) + x(f). Factor z(q).
4*q*(q - 6)*(q - 1)*(q + 2)
Let n(r) be the third derivative of r**8/2184 - r**7/91 + 4*r**6/65 + 32*r**5/195 - 941*r**2. Factor n(u).
2*u**2*(u - 8)**2*(u + 1)/13
Let d(k) = 16*k**4 - 120*k**3 + 380*k**2 - 20*k - 500. Let a(x) = 5*x**4 - 2*x**3 + 2*x**2 - x - 1. Let y(p) = -4*a(p) + d(p). Factor y(c).
-4*(c - 2)**2*(c + 1)*(c + 31)
Let x(g) = -5*g**2 + 20*g + 85. Let v(h) = -5*h**2 + 19*h + 86. Let s(p) = -5*v(p) + 4*x(p). Determine y, given that s(y) = 0.
-3, 6
Let u = -54694/9 - -6078. Let b(z) be the second derivative of -u*z**3 + 0 - 1/36*z**4 - 14*z - 32/3*z**2. Factor b(g).
-(g + 8)**2/3
Suppose w = -2*s - 33 + 38, -2*w + 2 = 0. Let r(d) be the second derivative of 0 + 0*d**2 + s*d - 1/12*d**4 - 2/3*d**3. Find i such that r(i) = 0.
-4, 0
Let f(b) be the first derivative of -5/2*b**4 + 15*b + b**5 - 20/3*b**3 + 5*b**2 - 55. Determine n, given that f(n) = 0.
-1, 1, 3
Let z(b) = -b + 16. Let c be z(10). Let y be (18/40)/(c/10). Let -9/4*f**3 - y*f**4 + 0*f + 0 + 0*f**2 = 0. What is f?
-3, 0
Let o = 1033 - 1033. Let s(l) be the third derivative of -1/4*l**5 - 3/4*l**4 + o*l**3 + 0 - 23*l**2 + 0*l - 1/40*l**6. Find z such that s(z) = 0.
-3, -2, 0
Find k, given that 2/3*k**2 + 20 - 62/3*k = 0.
1, 30
Let j(y) be the first derivative of -y**4/4 - 95*y**3/9 - 373*y**2/6 + 45*y + 1876. Let j(m) = 0. What is m?
-27, -5, 1/3
Suppose 60*w - 54*w - 16 = 4*q, -3*q = -w - 2. Factor 6*l**q - 512/5 - 1/5*l**3 - 192/5*l.
-(l - 16)**2*(l + 2)/5
Let q = 28349 + -28346. Let l(y) be the third derivative of 0*y**q + 0*y**4 + 0 + 0*y + 25*y**2 - 1/240*y**5. Let l(i) = 0. What is i?
0
Let y(n) be the third derivative of -n**6/90 - 151*n**5/90 - 703*n**4/9 + 1444*n**3/9 - 74*n**2. Suppose y(s) = 0. Calculate s.
-38, 1/2
Suppose 6 = -0*f + 3*f. Suppose -8*l = 46 - 70. Suppose -h**l + 8*h**3 + 3*h**5 - 4*h**5 - h**4 - 4*h**3 + f*h + 5*h**2 = 0. What is h?
-1, 0, 2
Let s be 11 + 9*(-14)/(-21). Find r, given that -8*r**4 - 88*r**2 + 80*r + 79 - 108*r**5 - 84*r**3 + s + 112*r**5 = 0.
-2, -1, 1, 6
What is j in 37*j - 15 + 13/2*j**3 + 1/4*j**4 - 115/4*j**2 = 0?
-30, 1, 2
Let t(d) be the third derivative of d**6/840 - d**4/14 + 31*d**3 - 26*d**2. Let n(f) be the first derivative of t(f). Solve n(p) = 0.
-2, 2
Factor -1/3*x**2 + 150 - 5*x.
-(x - 15)*(x + 30)/3
Let s(k) = 17*k**2 + 5686*k + 4055562. Let w(o) = 88*o**2 + 28428*o + 20277812. Let l(b) = -52*s(b) + 10*w(b). Factor l(t).
-4*(t + 1424)**2
Let r be 145/2088*(-194)/(-3). Let b = 128/27 - r. Factor -b*j**5 + 11/4*j + 3/2*j**3 + 7/2*j**2 + 3/4 - 1/4*j**4.
-(j - 3)*(j + 1)**4/4
Let g(h) be the third derivative of -4*h**2 - 9*h - 52/525*h**7 - 24/5*h**3 - 1/168*h**8 - 41/60*h**6 + 0 - 5*h**4 - 187/75*h**5. Suppose g(v) = 0. What is v?
-3, -2, -2/5
Let x(o) be the third derivative of -1/240*o**5 + 21*o + 0 - 3*o**2 - 3481/24*o**3 + 59/48*o**4. Suppose x(j) = 0. Calculate j.
59
Suppose 3*r = 15, -16*i - 31 = -20*i + r. Let -10*y**3 + i*y**2 - 192*y + 31*y**2 + 64 + 44*y**2 = 0. Calculate y.
2/5, 4
Let u(w) be the second derivative of w**6/75 - 3*w**5/5 - 33*w**4/10 - 336*w - 2. Factor u(b).
2*b**2*(b - 33)*(b + 3)/5
Let r(y) = -6*y**3 + 30*y + 40. Let p(c) = -c**3 + 2*c**2 + c. Let v(t) = 8*p(t) - r(t). Factor v(w).
-2*(w - 5)*(w - 4)*(w + 1)
Let q be 0 - -4*(-5)/(-10). Factor -87*o**2 - 10*o**3 + 103*o**q - 2*o + 2 - 6.
-2*(o - 1)**2*(5*o + 2)
Suppose 370*h = -481*h. Suppose -84/5*k**4 - 12/5*k**3 + 0*k + 0*k**2 + h - 147/5*k**5 = 0. What is k?
-2/7, 0
Suppose -54*f + 27*f - 117 = -40*f. Let j(u) be the first derivative of -5/4*u**4 + 0*u + 2*u**5 - 10/3*u**3 - f + 5/6*u**6 + 0*u**2. Let j(i) = 0. What is i?
-2, -1, 0, 1
Suppose -88/7*i**2 + 40/7*i**3 + 2/7*i**4 + 0 + 0*i = 0. What is i?
-22, 0, 2
Factor 14/5*g**2 - 91/5*g + 76/5 + 1/5*g**3.
(g - 4)*(g - 1)*(g + 19)/5
Let c be 7*(-3)/(-42)*40/40. Factor c*l**5 - l + 3/2*l**2 - 3/2*l**4 + 1/2*l**3 + 0.
l*(l - 2)*(l - 1)**2*(l + 1)/2
Let w = -205 - -214. Factor -31*g + 27*g - 2*g**4 - w*g**3 + 5*g**4 + 16*g.
3*g*(g - 2)**2*(g + 1)
Let z(r) be the second derivative of -r**4/48 - 101*r**3/12 - 3029*r. Find w such that z(w) = 0.
-202, 0
Let o be (-3 - 27/(-6))*(2 + 0). Suppose -2 = 139*b - 2 - 0. Determine u, given that -2/9*u**o + b + 0*u + 0*u**2 = 0.
0
Let d(j) be the first derivative of -4/5*j**2 + 1/10*j**4 + 2/15*j**3 - 8/5*j - 12. Find b such that d(b) = 0.
-2, -1, 2
Let n = 7314 - 7314. Let v(i) be the first derivative of -9/2*i**2 + 26 + 6*i + 3/4*i**4 + n*i**3. Factor v(j).
3*(j - 1)**2*(j + 2)
Let w = 7809/146 + -729/73. Let z(c) be the first derivative of 21*c - w*c**2 + 4*c**3 - 17. Factor z(a).
3*(a - 7)*(4*a - 1)
Let v(b) be the third derivative of -b**7/70 - 7*b**6/40 + 23*b**5/20 + 39*b**4/8 - 27*b**3 - 93*b**2 - 1. Let v(x) = 0. What is x?
-9, -2, 1, 3
Let z(g) be the third derivative of 4/9*g**3 - 1/60*g**6 + 1/945*g**7 + 1/1512*g**8 + 0 + 2*g + 2/27*g**4 - 13/270*g**5 + 26*g**2. Let z(o) = 0. Calculate o.
-2, -1, 1, 3
Solve 2/15*x**2 + 3720992/15 - 5456/15*x = 0 for x.
1364
Let w(i) be the first derivative of -5*i**4/4 + 35*i**3/3 - 20*i**2 - 80*i + 3873. Factor w(q).
-5*(q - 4)**2*(q + 1)
Let n(d) be the third derivative of -2*d**2 - 39 + 10*d**3 + 0*d - 19/20*d**5 - 3/10*d**6 - 1/70*d**7 + 3/2*d**4. Suppose n(f) = 0. What is f?
-10, -2, -1, 1
Let d(r) be the third derivative of r**6/180 + 2*r**5/5 + 35*r**4/36 + 168*r**2 - r. Solve d(m) = 0 for m.
-35, -1, 0
Let s be (-76 - -72)*(8/40)/(-1). Factor -2/5*x**3 - s*x**2 + 4/5 + 2/5*x.
-2*(x - 1)*(x + 1)*(x + 2)/5
Let h(z) be the first derivative of z**7/21 + 4*z**6/15 + 3*z**5/10 - 248*z + 108. Let s(p) be the first derivative of h(p). Factor s(j).
2*j**3*(j + 1)*(j + 3)
Let l(d) be the second derivative of -3/8*d**5 + 1/112*d**7 - 2*d - 38 + 1/10*d**6 + 1/16*d**4 + 19/16*d**3 - 15/8*d**2. Suppose l(z) = 0. Calculate z.
-10, -1, 1
Let t = -2280959/165 + 13824. Let u(f) be the second derivative of 0*f**2 + 4/33*f**4 + 0 + t*f**6 - 1/22*f**5 - 4/33*f**3 + 14*f. Factor u(d).
2*d*(d - 2)**2*(d - 1)/11
Let w(z)