7)**2
Let o = 13/510 - -49/4080. Let t(h) be the third derivative of 0 - 1/12*h**3 - 17/96*h**4 + 0*h + o*h**5 - 3*h**2. Factor t(p).
(p - 2)*(9*p + 1)/4
Let x be 10/(-4) + 25 + 3473/(-184). Suppose 0*w - 10 = -5*w. Suppose -w*t - 21/8*t**4 + x*t**2 - 9/8*t**5 + 29/8*t**3 - 3/2 = 0. What is t?
-3, -2/3, 1
Suppose -36*o - o = -148. Suppose -q = -i - 5, 9*i - q + 5 = o*i. Factor i - 2/5*d**4 + 2/5*d**2 + 2/5*d**5 - 2/5*d**3 + 0*d.
2*d**2*(d - 1)**2*(d + 1)/5
Factor -2/7*a**2 + 356/7 + 174/7*a.
-2*(a - 89)*(a + 2)/7
Factor 325*p**5 + 19220 - 251905*p + 2210978*p**2 - 35775*p - 1115*p**5 + 165*p**5 - 2356075*p**3 - 77125*p**4 - 778773*p**2.
-5*(p + 62)**2*(5*p - 1)**3
Let x(v) = -2*v**3 + 84*v**2 + 550*v + 1254. Let i be x(48). Factor -50/7*c - i + 2/7*c**3 - 6/7*c**2.
2*(c - 7)*(c + 1)*(c + 3)/7
Let 1/6*u**3 + 48 - 4/3*u**2 - 6*u = 0. What is u?
-6, 6, 8
Let w(u) = 3*u + 25. Let f(h) = 3*h + 24. Let a(n) = 7*f(n) - 6*w(n). Let z be a(-5). Factor o**3 + 3 + z*o**2 - 5 - 4 - 5*o - o**2.
(o - 2)*(o + 1)*(o + 3)
Let c(n) = -5*n - 1. Let o = 574 + -573. Let f(x) = x**2 + 109*x + 3841. Let i(g) = o*f(g) - 3*c(g). Factor i(j).
(j + 62)**2
Let w(j) be the first derivative of -1/6*j**3 - 80 - 13/4*j**2 - 21*j. Factor w(s).
-(s + 6)*(s + 7)/2
Let g(w) = -2*w**3 - 2*w**2 + 99*w + 9. Let p(l) = l**3 + l**2 - 55*l - 5. Let m(h) = -5*g(h) - 9*p(h). Let m(c) = 0. What is c?
-1, 0
Let p(r) be the second derivative of r**7/42 - r**6/8 - 5*r**5/6 + 11*r**2 + 2*r - 6. Let k(h) be the first derivative of p(h). Factor k(f).
5*f**2*(f - 5)*(f + 2)
Let l(u) be the first derivative of -5*u**5 - 345*u**4/2 + 5180*u**3/3 - 4380*u**2 + 2720*u - 5979. Find y, given that l(y) = 0.
-34, 2/5, 2, 4
Let h be (1 - 0)/(10/30). Suppose 3*g = -g - 4*w - 20, 2*g + 15 = -h*w. Determine r, given that 2/5*r**3 + 0 + g*r - 2/5*r**2 = 0.
0, 1
Let x(n) = 2*n - 21. Let y be x(12). Suppose 0 = -3*i - 0*i + 3*l, -y*i - 6 = -5*l. Suppose 4*r**2 - r**2 + r**5 - 3*r**2 - r**i = 0. What is r?
-1, 0, 1
Find f such that 1/2*f - 13*f**3 + 37/2*f**2 - 6 = 0.
-1/2, 12/13, 1
Let v(s) be the first derivative of -5*s**3/18 - 5785*s**2/12 - 2890*s/3 + 6471. Factor v(z).
-5*(z + 1)*(z + 1156)/6
Let g(l) be the second derivative of l**4/18 - 155*l**3/9 + 6352*l. Determine m so that g(m) = 0.
0, 155
Let g(f) be the third derivative of -f**6/8 + 20*f**5/3 - 85*f**4/8 - 65*f**3/3 + 305*f**2. Factor g(y).
-5*(y - 26)*(y - 1)*(3*y + 1)
Solve -10*f**5 - 187963*f**2 - 105*f**3 - 5*f**5 + 187988*f**2 + 95*f**4 = 0 for f.
0, 1/3, 1, 5
Let v(z) be the third derivative of -z**5/60 - 269*z**4/4 - 217083*z**3/2 + 181*z**2. Find u such that v(u) = 0.
-807
Let y(r) = -8*r**2 + 4*r - 8. Suppose -9 = -5*h + 2*z + 17, h + 4*z = 14. Let l(i) = -i**2 - 1. Let v = 14 - 15. Let q(o) = h*l(o) + v*y(o). Factor q(n).
2*(n - 1)**2
Let n = 24199 - 217693/9. Factor 256/9 - n*w**5 - 1280/9*w - 1880/9*w**3 + 700/9*w**4 + 2320/9*w**2.
-2*(w - 2)**3*(7*w - 4)**2/9
Let c be 2/(-6) + 472/12. Factor c + 82 - 5*t**2 - 11 + 90*t - 45*t.
-5*(t - 11)*(t + 2)
Let 161775264/5*d**3 - 802135684/5*d**4 + 411264/5*d - 5184/5 - 12235104/5*d**2 = 0. What is d?
6/119
Let f(s) be the third derivative of -3*s**3 - 3/5*s**6 + 0*s + 47/8*s**4 + 133*s**2 + 0 + 8/35*s**7 - 87/20*s**5. Solve f(k) = 0 for k.
-2, 1/4, 3
Suppose -16*c + 1884 = -3316. Let v = c - 3573/11. Factor 50/11 - 20/11*g + v*g**2.
2*(g - 5)**2/11
Find h such that -29473*h**2 + 58939*h**2 + 17 + 15*h - 29470*h**2 - 2*h = 0.
-1, 17/4
Let a(f) = 673*f**2 - 13*f + 38. Let c be a(-17). Determine r, given that c*r**3 + 5*r**4 - 7*r - 194771*r**3 + 27*r = 0.
-1, 0, 2
Let v(u) be the second derivative of -u**7/210 - u**6/90 + 2*u**5/15 + 2*u**4/3 + 43*u**3/6 - 41*u. Let k(o) be the second derivative of v(o). Factor k(l).
-4*(l - 2)*(l + 1)*(l + 2)
Factor 24 - 22/3*g + 1/3*g**2.
(g - 18)*(g - 4)/3
Let k(z) be the second derivative of -15/11*z**3 + 9/110*z**5 + 233*z + 7/22*z**4 - 54/11*z**2 - 1/55*z**6 + 0. Find g such that k(g) = 0.
-2, -1, 3
Suppose -44*a**2 - 184*a**4 + 44*a**3 - 431*a - 13*a - 32*a + 480 + 180*a**4 = 0. What is a?
-3, 1, 5, 8
Let g(c) be the first derivative of -24*c**5/25 + 143*c**4/20 - 14*c**3 - 9*c**2/10 - 4674. Solve g(l) = 0 for l.
-1/24, 0, 3
Let z be (168/(-280))/(6/(-8180)). Solve 818*v**2 + z*v**2 - 1641*v**2 - 165*v = 0 for v.
-33, 0
Let a = 116294/107939 + -4/8303. Factor a - 4/13*w - 18/13*w**2.
-2*(w + 1)*(9*w - 7)/13
Suppose -h = 2*q - 4, 0 = -3*q - 0*q - 4*h + 1. Let k = -15315 - -15317. What is j in 1/2*j**3 + 3*j**k + 11/2*j + q = 0?
-3, -2, -1
Let m = -83 + 101. Suppose 24*g - 24 = m*g. Find v, given that -12*v + 35*v**g + 12*v**5 + 8 - 3*v**4 - 32*v**2 - 4*v**2 - 4*v**2 = 0.
-2, -1, 1/3, 1
Let o(v) be the second derivative of 1/100*v**5 + 59*v + 147/10*v**2 + 91/30*v**3 + 17/60*v**4 + 0. Factor o(m).
(m + 3)*(m + 7)**2/5
Let s(r) be the first derivative of -20*r - 5/16*r**4 - 15*r**2 - 59 - 15/4*r**3. Solve s(m) = 0 for m.
-4, -1
Let q(t) be the first derivative of 181/7*t**2 - 30/7*t + 72*t**4 - 488/7*t**3 - 128/35*t**5 - 54. Suppose q(m) = 0. What is m?
1/4, 15
Solve -1560/11*v + 1558/11 + 2/11*v**2 = 0.
1, 779
Let n(s) be the first derivative of 75*s - 5/4*s**4 + 65/2*s**2 - 5*s**3 + 17. Find k such that n(k) = 0.
-5, -1, 3
Suppose -y = -3, 5*d - y - y - 154 = 0. Let f be d*(-3 - 61/(-20)). Factor -f*z + 16/5 + 1/5*z**2.
(z - 4)**2/5
Let w(q) be the first derivative of 2*q**3/21 - 19*q**2 + 1280*q/7 + 2582. Solve w(z) = 0.
5, 128
Let g(x) = -4*x**2 - 97*x - 7. Suppose 20 = 4*o - 2*d, -4*d = -o - 1 - 8. Let t(n) = 4*n**2 + 98*n + 6. Let v(j) = o*t(j) + 6*g(j). Factor v(k).
4*k*(k + 26)
Let d(m) be the second derivative of 2*m**6/105 + 37*m**5/35 - 319*m**4/7 + 514*m**3/3 - 1760*m**2/7 + 6693*m. Suppose d(h) = 0. Calculate h.
-55, 1, 16
Suppose -20277*n - 24 + 26*n**2 + 5*n**3 + 20285*n - 13*n**3 - 2*n**4 = 0. What is n?
-6, -1, 1, 2
Let m = 12 + -13. Let q be m/14 - (-20)/35. Factor -1/2*y**3 + q*y**2 + 1/2*y - 1/2*y**4 + 0.
-y*(y - 1)*(y + 1)**2/2
Let v(a) be the first derivative of -3/16*a**4 - 105/8*a**2 + 11/4*a**3 - 24 + 75/4*a. Solve v(m) = 0 for m.
1, 5
Let w be (-28)/(-56) + (15/(-12) - -2). Let q(t) be the second derivative of -10*t + 11/12*t**3 + 0 - 7/24*t**4 + 1/40*t**5 - w*t**2. Factor q(k).
(k - 5)*(k - 1)**2/2
Let u(o) be the first derivative of -o**6/60 - o**5/5 + 3*o**4 - 40*o**3/3 - 153*o**2/2 + 190. Let b(j) be the second derivative of u(j). Factor b(l).
-2*(l - 2)**2*(l + 10)
Let k(c) = -6*c**2 - 474*c + 4. Let t(z) = -31*z**2 - 2371*z + 22. Let y(p) = -11*k(p) + 2*t(p). Let y(q) = 0. What is q?
-118, 0
Let n = 722019/4 + -180491. Suppose -169 - 2185/4*o**2 - n*o**4 - 835/4*o**3 - 520*o - 1/4*o**5 = 0. Calculate o.
-26, -1
Let s(y) be the first derivative of -3*y**4/16 - 35*y**3/4 - 411*y**2/4 - 180*y + 2075. Factor s(a).
-3*(a + 1)*(a + 10)*(a + 24)/4
Let h be -7 + 18 + (7 - 319/22). Factor -1/2*b**2 + 4 + h*b.
-(b - 8)*(b + 1)/2
Let c(l) = -l**3 - l**2 - 2. Let p(m) = -2*m**3 - 53*m**2 + 48*m + 188. Let w(d) = 4*c(d) + p(d). Factor w(s).
-3*(s - 2)*(s + 10)*(2*s + 3)
Let s = -7279/10 - -728. Let z(h) be the third derivative of 1/8*h**6 + 0*h**3 + 15*h**2 + 0 + s*h**5 + 2/35*h**7 + 1/112*h**8 + 0*h**4 + 0*h. Factor z(o).
3*o**2*(o + 1)**2*(o + 2)
Let g(o) = o**2 - 1335*o + 1336. Let w be g(1). Factor -18 - 92/9*a**w - 2/9*a**4 - 32/9*a**3 + 32*a.
-2*(a - 1)**2*(a + 9)**2/9
Suppose v - 228 = -3*v + 4*n, -3*v - 3*n = -159. Find b, given that -5 + v + 719*b - 542*b + 7*b**2 = 0.
-25, -2/7
Determine d so that -360*d**2 + 384/5*d - 21/5*d**5 + 0 - 45*d**4 + 1662/5*d**3 = 0.
-16, 0, 2/7, 1, 4
Solve -3*c**3 + 7*c + 0 - 2/3*c**4 + 38/3*c**2 = 0 for c.
-7, -1/2, 0, 3
Let b(d) = -5*d**2 + 1080*d - 3265. Let l(o) = -2*o**2 + 360*o - 1082. Let s(p) = -2*b(p) + 7*l(p). Factor s(y).
-4*(y - 87)*(y - 3)
Let v be 3 - (-4 - -5) - -1208. Determine t, given that -v*t + 1210*t - t**4 - 3*t**3 = 0.
-3, 0
Factor -c - 4*c + 7*c + 240 - 8 + 4*c**3 - 6*c - 232*c**2.
4*(c - 58)*(c - 1)*(c + 1)
Factor -129/4*b + 32*b**3 + 33/2*b**4 - 16 + 1/4*b**5 - 1/2*b**2.
(b - 1)*(b + 1)**3*(b + 64)/4
Suppose 23994*o - 27 - 27 = 23967*o. Factor 66/5*a - 363/5 - 3/5*a**o.
-3*(a - 11)**2/5
Let d(r) be the first derivative of r**3/4 + 9*r**2/2 + 81*r/4 + 1457. Factor d(w).
3