 2)**2*(2*n + 1)/13
Let x(h) be the third derivative of -h**5/15 - 5*h**4/2 + 3*h**2 - 22. Factor x(i).
-4*i*(i + 15)
Determine w, given that 2643*w - 3/2*w**2 - 2328483/2 = 0.
881
Let w(j) = 31*j + 126. Let s be w(14). Let n be -6*1 + s/91. Solve -n*i**3 + 8/13 + 2/13*i - 8/13*i**2 = 0 for i.
-4, -1, 1
Let y(k) = -12*k**2 - 73*k - 120. Let t = -179 + 124. Let w = t - -66. Let u(m) = -4*m**2 - 24*m - 40. Let z(d) = w*u(d) - 4*y(d). Factor z(b).
4*(b + 2)*(b + 5)
Let f(z) = -z**3 - 639*z**2 - 1275*z - 625. Let v(t) = -2*t**3 - 1278*t**2 - 2550*t - 1252. Let x(g) = -11*f(g) + 6*v(g). Determine j so that x(j) = 0.
-637, -1
Let m(j) be the third derivative of j**8/1176 - 44*j**7/245 + 13*j**6/14 - 194*j**5/105 + 43*j**4/28 + 76*j**2 - 1. Factor m(k).
2*k*(k - 129)*(k - 1)**3/7
Factor -44/3*w + 1/6*w**2 + 415/6.
(w - 83)*(w - 5)/6
What is t in 3/4*t - 147/2 - 3/4*t**3 + 147/2*t**2 = 0?
-1, 1, 98
Let t(x) be the second derivative of x**4/72 - 70*x**3/9 + 4900*x**2/3 - 149*x - 2. Factor t(y).
(y - 140)**2/6
Let r(u) = 42*u**3 + 7*u**2 + 9*u - 9. Let o(j) = 5*j**3 + j**2 + j - 1. Let g(f) = 18*o(f) - 2*r(f). Factor g(p).
2*p**2*(3*p + 2)
Suppose 1/7*v**2 + 88/7*v - 89/7 = 0. What is v?
-89, 1
Determine s, given that 413/3*s + 107/3*s**4 + 418/3*s**3 + 1/3*s**5 + 103/3 + 622/3*s**2 = 0.
-103, -1
Let g = 611459/4830 - 2907/23. Let o = -1/14 + g. Determine l, given that 0*l + 2/15*l**2 - o*l**3 + 0 = 0.
0, 1
Let p(y) be the third derivative of 13/8*y**4 + 5 + 0*y - 1/20*y**5 + 3*y**2 + 7*y**3. Factor p(u).
-3*(u - 14)*(u + 1)
Let a be ((-1 - 3)*1)/(3/(-6)). Determine t so that 204 + 44*t - a*t**2 - 64 - 46 - 70 = 0.
-1/2, 6
Factor 780 + 57*r**2 - 2215 - 32*r**2 - 26*r**2 - 212*r.
-(r + 7)*(r + 205)
Let h(f) be the second derivative of 0*f**2 - 22/51*f**3 - 7/34*f**4 + 10*f - 3 + 1/170*f**5. Factor h(q).
2*q*(q - 22)*(q + 1)/17
Factor -104/5*v - 2/5*v**2 + 696/5.
-2*(v - 6)*(v + 58)/5
Let g be (2629/1912)/((-2)/(-4)). Factor -5/2*p + 0 - 1/4*p**3 - g*p**2.
-p*(p + 1)*(p + 10)/4
Let a be (0 - 1)/2*168. Let q be (-4)/12 + a/(-9). Determine g so that -2*g**4 + q*g**3 - 3*g**2 - g**3 - 4*g**3 + g**2 = 0.
0, 1
Let s(z) be the third derivative of -31/8*z**4 + 0*z + 55*z**2 + 7/60*z**5 + 13/3*z**3 + 0. What is g in s(g) = 0?
2/7, 13
Let z = -85258 - -85261. Factor 8/7*x - 8/7*x**z + 0 + 4/7*x**2 - 4/7*x**4.
-4*x*(x - 1)*(x + 1)*(x + 2)/7
Let t(j) = 138*j - 10626. Let w be t(77). Factor w*o - 2*o**2 + 0 + 2/5*o**3.
2*o**2*(o - 5)/5
Let i = -453 + 470. Suppose -23*x = -75 - i. Let -x*f**3 - 26/3*f**2 - 8*f - 2/3*f**4 - 8/3 = 0. Calculate f.
-2, -1
Let n be 30/(-45) - 1/(3/(-11)). Factor 2 - 4*h**2 + 40*h**3 - 16*h**3 - 24*h**n + 2*h**4.
2*(h - 1)**2*(h + 1)**2
Let v be (-1444)/90 + 802/18045 - -18. Factor 21*i - 1/6*i**v - 1323/2.
-(i - 63)**2/6
Let x(k) be the first derivative of -3*k**5/5 - 47*k**4/2 - 433*k**3/3 - 223*k**2 - 104*k - 1990. What is r in x(r) = 0?
-26, -4, -1, -1/3
Suppose -22/5*k**2 + 76/5*k + 2/5*k**3 - 16 = 0. What is k?
2, 4, 5
Suppose 7*g = -22 + 57. Let c be g*(2/5 + 3/15). Solve 0*j + 0 + 0*j**c + 4/3*j**4 - 4/3*j**2 = 0.
-1, 0, 1
Let s(k) be the second derivative of -5*k**4/12 + 145*k**3/6 - 70*k**2 - 6208*k. Factor s(m).
-5*(m - 28)*(m - 1)
Let i(b) = 2*b**2 + 2. Let x = 139 + -135. Let t(r) = 4*r**2 - r + 5. Let s(d) = x*t(d) - 10*i(d). Factor s(h).
-4*h*(h + 1)
Let v be ((-183)/6 + 4)/((-1)/(-2)). Let t = v + 53. Let -1 + t*g**2 + g**2 + 4 + 0 + 4*g = 0. Calculate g.
-3, -1
Let f be (-2)/(-13) - (-1857)/13. Suppose 0 = -p - 3, 2*q - 4*p = -5*p + f. Let -36 + 2*n + 2*n**2 - 37 + q = 0. Calculate n.
-1, 0
Suppose -2/3*v**4 + 0 + 22*v**3 - 22*v + 2/3*v**2 = 0. What is v?
-1, 0, 1, 33
Suppose -20*j + 236 = 176. Let f(o) be the third derivative of 0*o - 1/30*o**5 + 5*o**2 - 16/3*o**j + 0 + 2/3*o**4. Find d, given that f(d) = 0.
4
Suppose -52*b = -45*b - 14. Factor 30*v**2 - 2*v**3 + 20*v**2 + v**4 - 4 - 53*v**b + 8*v.
(v - 2)*(v - 1)**2*(v + 2)
Let p = 212 + -188. Suppose 18*x = p*x. Find a such that 0*a**3 + 1/4*a**2 + x*a - 1/4*a**4 + 0 = 0.
-1, 0, 1
Suppose 2*g - 1260 = -4*t, -4*t + 138 - 3316 = -5*g. Let 7 + 4 + 5*v**3 + g*v - 10*v**2 - 639*v - 1 = 0. Calculate v.
-1, 1, 2
Let z be (-84728)/(-969) + 6/(-57). Let f = 89 - z. Let -2/3*n**4 + 2/3 + f*n - 5/3*n**3 + 0*n**2 = 0. What is n?
-2, -1, -1/2, 1
Determine g so that 2/3*g**2 + 344/3*g + 0 = 0.
-172, 0
Suppose -3*a = -3*j + 38 + 22, -73 = -5*j - 4*a. Factor -3 + 53 - j*g - 17*g**2 + 10 + 75*g + 15*g**2.
-2*(g - 30)*(g + 1)
Factor -171 - 12 + 57 + 45*v**2 + 20 - 34 - 145*v.
5*(v - 4)*(9*v + 7)
Let r be 3*(15/5 - 2). Factor -12*q**r + 11*q**5 - 94*q**2 - 8*q**5 + 9*q**4 + 94*q**2.
3*q**3*(q - 1)*(q + 4)
Let h = 60940 + -60940. Factor h*b**3 + 0*b**2 + 0*b + 1/4*b**4 + 0.
b**4/4
Let t(r) = -10*r**2 + 10*r. Let w(v) be the first derivative of -v**3/3 + v - 44. Let x(g) = t(g) - 15*w(g). Solve x(s) = 0 for s.
-3, 1
Let x be 48/22 + ((-5)/(-275))/1*(-41 - -31). Factor x + 1/6*v**2 + 7/6*v.
(v + 3)*(v + 4)/6
Let s(w) = 2 + w + 0*w + 5*w - 5. Let h be s(1). Solve -56*y - 36*y**4 - 3*y**5 - 22*y - 71*y**2 + 3*y - 109*y**2 - 138*y**h = 0.
-5, -1, 0
Suppose -5*f + 257 = 4*z, 5*z + 10 = -3*f + 341. Factor -42 - 55*c - z*c**2 + 65*c**2 + 10*c.
-3*(c + 1)*(c + 14)
Suppose -20 = -2*q - 2*q, -4*q = -5*d. Let k = -1823 + 1827. What is v in 18*v**2 + 2*v**d + 0 + k - 10*v + 24*v + 10*v**3 = 0?
-2, -1
Factor 3/5*r**3 - 3/5*r + 57/5 - 57/5*r**2.
3*(r - 19)*(r - 1)*(r + 1)/5
Determine z, given that 8464/3 + 4600/3*z + 625/3*z**2 = 0.
-92/25
Let v(z) be the third derivative of -z**8/1848 - 3*z**7/385 - 23*z**6/660 - 7*z**5/330 + 2*z**4/11 + 16*z**3/33 - 3478*z**2. Let v(c) = 0. Calculate c.
-4, -1, 1
Let n(u) be the third derivative of -u**6/480 - u**5/15 - 3*u**4/8 + 6*u**3 - 34*u**2 - 5. Suppose n(z) = 0. Calculate z.
-12, -6, 2
Let d be (4 - 11/((-2145)/(-598)))/((-6)/(-30)). What is r in -2/3*r**3 + 0 + 16/3*r - d*r**2 = 0?
-8, 0, 1
Factor -144*t + 48*t - 19*t**5 - 27*t**4 + 22*t**5 + 66*t**3.
3*t*(t - 4)**2*(t - 2)*(t + 1)
Factor 1/2*o**2 - 5/2*o - 52.
(o - 13)*(o + 8)/2
Let h(t) be the first derivative of -4*t**3/3 - 518*t**2 - 2056*t - 3162. Determine u so that h(u) = 0.
-257, -2
Let -152/15*j**3 + 2/15*j**4 + 286/5*j**2 - 1268/15*j + 112/3 = 0. What is j?
1, 4, 70
Determine k so that -19*k**2 - 324 + 198*k + 1/2*k**3 = 0.
2, 18
Let g = 279614 + -279612. Determine d, given that -6/5*d**g + 0*d + 0 + 3/5*d**3 = 0.
0, 2
Suppose 0 = b - 254 - 23. Let y be b/3*(0 - -3). Find h such that -1 - 5 - 268*h + y*h - 3*h**3 = 0.
-2, 1
Let j(d) = -16*d**2 - 17*d + 3. Let q(u) = -2*u**2 + u - 1. Let n(h) = j(h) - 5*q(h). Factor n(z).
-2*(z + 4)*(3*z - 1)
Let r be (-4865)/(-105) + (-76)/12. What is v in 5/2*v**3 + 0 - r*v**2 + 0*v = 0?
0, 16
Suppose 5*f + 0*f + 2*s - 27 = 0, -4*f = -4*s - 16. Let j be f + 192/90 + -7. Find p such that 0 - j*p**3 - 2/15*p**2 + 0*p = 0.
-1, 0
Suppose 7*x + 29 = -z, 4*z - 42 = -3*x - 33. Let m(s) be the second derivative of z*s - 1/80*s**5 + 0*s**2 + 0 - 1/48*s**4 + 0*s**3. Solve m(q) = 0 for q.
-1, 0
Let v(a) = 71*a - 564. Let i be v(8). Let q(z) be the first derivative of 0*z + 12 + 0*z**2 - 1/2*z**i - 2/3*z**3. Find l, given that q(l) = 0.
-1, 0
Let m(w) be the third derivative of 2 - 9*w**2 - w**3 - 5/24*w**4 - 1/60*w**5 + 0*w. Solve m(o) = 0 for o.
-3, -2
Factor 63/5*s**2 + 1/5*s**4 - 108/5 + 17/5*s**3 + 27/5*s.
(s - 1)*(s + 3)**2*(s + 12)/5
Let k(y) be the third derivative of -y**6/120 + 7*y**5/20 + y**4/24 - 8*y**3/3 + 10*y**2. Let v be k(21). Let -4*s - v*s**2 - 17 + 24*s - 3 = 0. Calculate s.
2
Let k(u) be the first derivative of 7*u**3/3 - 3*u**2 - u - 1563. Factor k(t).
(t - 1)*(7*t + 1)
Suppose 186*n + 203 = 193*n. Let g(w) be the third derivative of 0*w + 0*w**3 + 1/40*w**6 + 0 + 0*w**7 + 0*w**5 + n*w**2 + 0*w**4 - 1/112*w**8. Solve g(v) = 0.
-1, 0, 1
Let j(z) be the third derivative of z**5/140 + z**4/8 - 30*z**3/7 - 2619*z**2. Factor j(g).
3*(g - 5)*(g + 12)/7
Let l(d) be the third derivative of d**8/2520 + d**7/126 + 5*d**6/72 + d**5/20 + d**4/8 + 66*d**2. Let x(a) be the third derivative of l(a). Factor x(z).
2*(2*z + 5)**2
Let m = -221/93 + 84/31. Suppose 2/3*v**3 + 0*v - m*v**5 + 0 - 1/3*v**4 + 0*v**2 = 0. Calculate v.
-2, 0, 1
Let m be 2079/378*(1 - (-14)/(-2