8/(-15) - (10/75 - 0). Let u = -5 - d. Solve -4*g**2 + 0*g**u - 12*g**3 + 16*g**3 = 0 for g.
0, 1
Let r be ((-2)/3)/((-111 - -99)/((-63)/(-2))). Find t, given that 1/2*t**2 - r*t**3 + 0*t**4 + 3*t + 1/4*t**5 - 2 = 0.
-2, 1, 2
Factor -69*x**3 - 2747 + 1057*x**4 + 1296*x - 2437 - 2116*x**4 + 1062*x**4 + 324*x**2.
3*(x - 12)**2*(x - 3)*(x + 4)
Let b(u) be the second derivative of u**5/120 + u**4/3 + 55*u**3/12 - 295*u**2/2 - 20*u. Let m(n) be the first derivative of b(n). Factor m(x).
(x + 5)*(x + 11)/2
Suppose 0 = -26*o + 236 - 54. Factor -18 - 9*a - 35*a - o*a - 30 - 3*a**2.
-3*(a + 1)*(a + 16)
Let g = 1209/17 + -15615/221. Find m, given that -2/13*m**2 + g*m**3 - 2/13*m**4 + 4/13 - 6/13*m = 0.
-1, 1, 2
Factor 338/7*z - 170/7 - 166/7*z**2 - 2/7*z**3.
-2*(z - 1)**2*(z + 85)/7
Factor -2*d**2 + 89 + 339532*d**3 - 3*d**2 - 80*d - 9 - 339527*d**3.
5*(d - 4)*(d - 1)*(d + 4)
Let p(k) be the second derivative of -k**7/210 - 13*k**6/75 - 12*k**5/25 + k**4/30 + 49*k**3/30 + 12*k**2/5 - 3266*k. Factor p(z).
-(z - 1)*(z + 1)**3*(z + 24)/5
Let t = -137059 - -137064. Solve -7/2*a**t + 0*a**2 - 3*a**3 - 23/2*a**4 + 0*a + 0 = 0.
-3, -2/7, 0
Let x = -999 + -565. Let h be (-4)/10 - x/460. Let 5/3*v**2 - 2/3*v**h + 0 + v = 0. What is v?
-1/2, 0, 3
Let s = -95072/5 - -19015. Let o(c) be the first derivative of 1/10*c**6 - 51 + 0*c + 0*c**2 - s*c**4 - 4/5*c**3 + 3/25*c**5. Let o(r) = 0. Calculate r.
-2, -1, 0, 2
Factor 2 - 17765*z**3 + 17777*z**3 - 2*z**4 + 32*z**2 - 2 + 0.
-2*z**2*(z - 8)*(z + 2)
Factor -4/3*y + 8 + 1/3*y**4 - 6*y**2 - y**3.
(y - 6)*(y - 1)*(y + 2)**2/3
Let h(p) = -2*p**2 + 36*p - 80. Let l(d) = -3*d**2 + 36*d - 80. Let x(q) = 5*h(q) - 4*l(q). Factor x(z).
2*(z - 2)*(z + 20)
Let p(y) = -5*y**4 + 15*y**3 + 10*y**2 - 20*y - 20. Let k(u) = -u**4 - 2*u - 2. Let v = -578 - -588. Let s(n) = v*k(n) - p(n). Factor s(m).
-5*m**2*(m + 1)*(m + 2)
Let k be 24/1 + (-115455)/5370. Let 3/2*r**3 + k*r + 1/2 + 7/2*r**2 = 0. What is r?
-1, -1/3
Let a(o) be the second derivative of 95/3*o**3 + 255*o + 0 - 85/12*o**4 + 0*o**2 - 1/4*o**5. Factor a(u).
-5*u*(u - 2)*(u + 19)
Let 8/7*l**5 - 54/7*l**3 - 12/7 + 22/7*l**2 + 46/7*l - 10/7*l**4 = 0. What is l?
-2, -1, 1/4, 1, 3
Let 803/3 - 802/3*a - 1/3*a**2 = 0. Calculate a.
-803, 1
Let i(v) be the first derivative of -v**6/10 + 567*v**5/25 - 25893*v**4/20 - 29381*v**3/5 + 125856*v**2/5 - 27648*v + 5914. Determine j, given that i(j) = 0.
-5, 1, 96
Let f = 13245/98 + -5961/49. Find u such that f - 3/2*u**2 + 0*u = 0.
-3, 3
Let d(k) be the third derivative of 0 + 0*k - 40*k**2 + 32/15*k**3 + 11/20*k**4 + 1/150*k**5. Suppose d(u) = 0. What is u?
-32, -1
Let g(s) be the second derivative of s**7/135 - s**6/18 + 2*s**5/15 - 2*s**4/27 + 77*s**2/2 - 12*s + 3. Let k(p) be the first derivative of g(p). Factor k(u).
2*u*(u - 2)**2*(7*u - 2)/9
Factor -122/3 - 21*u - 1/3*u**2.
-(u + 2)*(u + 61)/3
Find h such that 18*h + 6*h + 7852*h**3 - 7861*h**3 + 30*h**2 = 0.
-2/3, 0, 4
Let z = -31578/5 + 6354. Let d = z - 339/10. Let -3/4 + 3/2*n**2 - d*n**3 + 9/4*n - 3/4*n**4 + 9/4*n**5 = 0. Calculate n.
-1, 1/3, 1
Let z(b) be the third derivative of b**5/150 - 82*b**4/15 + 652*b**3/15 + 256*b**2 - 2*b - 5. Suppose z(j) = 0. Calculate j.
2, 326
Let j(c) be the first derivative of -7/24*c**4 - 2/3*c**3 + 0*c + 0*c**2 + 1/20*c**5 + 1/360*c**6 + 7. Let b(d) be the third derivative of j(d). Factor b(h).
(h - 1)*(h + 7)
Factor 1/4*i**2 + 14 - 1/4*i**3 + 17/2*i.
-(i - 7)*(i + 2)*(i + 4)/4
Let l(o) = o**3 - 4*o**2 - 5*o + 6. Let d be l(4). Let h be d/(-161) - (-469)/161. Factor 1/4*r**h - 1/4*r + 0*r**2 + 0.
r*(r - 1)*(r + 1)/4
Suppose -423 = -n - 8*n. Let y = n - 45. Let -13*d**y - 36 + 14*d**2 + 117 + 18*d = 0. What is d?
-9
Let k(q) = 3*q**3 - 24*q**2 - 27*q - 18. Let m be ((-1)/2)/(7/14). Let y(c) = 2*c**3 - c**2 + 2*c - 1. Let g(d) = m*k(d) + 3*y(d). Factor g(f).
3*(f + 1)**2*(f + 5)
Let q(h) = -h**3 - 8*h**2 - h - 6. Let b be q(-8). Let i(a) = a**3 - 3*a**2 + 6*a - 5. Let d be i(b). Find c, given that -d + 5 + 3*c + 50*c**3 - 51*c**3 = 0.
-1, 2
Let k(g) = 8 - g**2 - 15*g + 12 + 1. Let x(l) = -8*l + 10. Suppose -450*f + 428*f - 110 = 0. Let q(c) = f*x(c) + 2*k(c). Find o, given that q(o) = 0.
1, 4
Let h(m) be the third derivative of 1/168*m**7 - 1/16*m**6 - 141*m**2 + 5/4*m**4 + 0 + 10/3*m**3 + 1/48*m**5 + 0*m. Factor h(z).
5*(z - 4)**2*(z + 1)**2/4
Let b(x) be the second derivative of -x**4/30 - 703*x**3/15 - 702*x**2/5 + 23*x + 10. Factor b(w).
-2*(w + 1)*(w + 702)/5
Suppose -230 = -4*r - 90. Suppose -51*g = -r*g - 48. Let 0*i + 0*i**2 + 0 + 5/7*i**g - 1/7*i**5 - 4/7*i**4 = 0. Calculate i.
-5, 0, 1
Suppose -3176*d + 3172*d = -12. Let r(q) be the first derivative of 3/2*q**5 + 3*q - 9/4*q**2 + 11 + 9/8*q**4 - 7/2*q**d. Let r(n) = 0. What is n?
-1, 2/5, 1
Let t = 348 - 328. Let d be (-5)/(-20) - 5/t. Solve 0 + 1/3*u**4 + d*u - u**3 + 2/3*u**2 = 0 for u.
0, 1, 2
Let t = -2/4427 + 17714/13281. Solve -2/9*d**3 + 26/9*d + 14/9*d**2 - 2/9*d**4 + t = 0 for d.
-2, -1, 3
Let g = 92 + -88. Suppose 3*c = -4*i + 6, 2*c + g*i = -2*c + 8. Factor -90 - 4*b**3 - 6*b**2 + 78 + 2*b**c + 20*b.
-4*(b - 1)**2*(b + 3)
Let n = -956/45 + 213/10. Let v(p) be the first derivative of 7/45*p**5 - 1/27*p**3 - 5 - 2/27*p**6 + 0*p + 0*p**2 - n*p**4. Factor v(z).
-z**2*(z - 1)**2*(4*z + 1)/9
Factor -60/7 + 3/7*h**2 - 24/7*h.
3*(h - 10)*(h + 2)/7
Let b = -461099/11 - -41953. Let u(t) be the first derivative of 2/11*t**3 + b*t - 10 + 48/11*t**2. Factor u(g).
6*(g + 8)**2/11
Solve 3*d**2 - 3/2 + 4*d**3 - 4*d - 3/2*d**4 = 0 for d.
-1, -1/3, 1, 3
Suppose -5*l - 532 = -19*l. Let p = 38 - l. Factor 0*v + 0 - 1/4*v**4 + p*v**2 + 1/4*v**3.
-v**3*(v - 1)/4
Let d = -6093793/27423 - 23/3047. Let g = -218 - d. Solve -g*i**3 + 26/3*i + 8/9*i**4 + 14/9*i**2 + 2 = 0 for i.
-1, -1/4, 3
Let v(r) be the third derivative of -r**5/150 + 2053*r**4/30 - 4214809*r**3/15 + 9624*r**2. Let v(s) = 0. What is s?
2053
Let k = 139 + -127. Factor -k*o**2 + 9*o + 2*o**2 + 5*o**2 + 6*o**2.
o*(o + 9)
Find f such that -510/13*f**3 - 2/13*f**4 + 0 - 506/13*f - 78*f**2 = 0.
-253, -1, 0
Let c(s) be the third derivative of -s**8/3192 + 2*s**7/399 - 13*s**6/380 + 37*s**5/285 - 17*s**4/57 + 8*s**3/19 - 3*s**2 + 276*s. Solve c(w) = 0.
1, 2, 3
Let a(h) be the third derivative of 2/9*h**4 - 3*h + 0*h**3 + 19/90*h**6 + 22/45*h**5 + 0 + 1/35*h**7 + 14*h**2. Find i, given that a(i) = 0.
-2, -2/9, 0
Let v = 0 + 11. Let a(y) = y - 5. Let z be a(v). Factor -2*q + 5*q**2 + z*q + 7*q - q.
5*q*(q + 2)
Suppose -4*c + 6*v = 109 - 263, 27 = -3*v. Let g(a) be the first derivative of -1/24*a**6 + 1/10*a**5 - 1/3*a**3 + c - 1/2*a**2 + 0*a + 3/16*a**4. Factor g(i).
-i*(i - 2)**2*(i + 1)**2/4
Let w(a) = -12*a - 94. Let p be w(-8). Suppose 12*f - 46 = p. Factor -3/2*x**f + 0*x + 0 + 0*x**2 + 3/2*x**3.
-3*x**3*(x - 1)/2
Let n(u) be the second derivative of -1/35*u**6 - 12/7*u**3 - 17 - 3*u - 9/7*u**4 - 2/5*u**5 - u**2. Suppose n(y) = 0. What is y?
-7, -1, -1/3
Let v = -62449/17 - -36711631/9996. Let x = -1/196 - v. Factor d - x*d**2 - 1/6.
-(d - 1)*(5*d - 1)/6
Suppose -16*h - 338 = -418. Let s(n) be the third derivative of 1/156*n**4 + 0 + 0*n**h + 0*n + 0*n**3 + 5*n**2 - 1/780*n**6. What is u in s(u) = 0?
-1, 0, 1
Let d be 6/(-12)*(-390)/3. Let v = -62 + d. Let 4*s - s**v + s - s**2 - 9*s + 6*s = 0. What is s?
-2, 0, 1
Let k be (8/22)/1*(24 + (-1504)/64). Factor k*m + 6/11 - 2/11*m**3 - 6/11*m**2.
-2*(m - 1)*(m + 1)*(m + 3)/11
Suppose 15 = -10*j + 13*j. Solve 80 + 35*f**4 - 75*f**4 - 100*f - 35*f**5 + 95*f**3 - 40*f**2 + 40*f**j = 0.
-1, 1, 2, 4
Suppose 20*r - 490 = 50. Factor 0*f**2 + r*f + 12 + 4*f**2 - 43*f.
4*(f - 3)*(f - 1)
Let r = -271 + 274. Determine g so that -g**2 + 0*g**3 + 42*g - 2*g**r - 40*g + g**4 = 0.
-1, 0, 1, 2
Let i(g) = -357*g + 4643. Let w be i(13). Let q be (-9)/(-2)*(-8)/(-3). Find z, given that -18*z**3 + 14*z**4 - 2*z**5 - 36*z**3 - q*z + 20*z**3 + 34*z**w = 0.
0, 1, 2, 3
Let b be (-129)/(-5)*(-62)/279 + 6. Let k(q) be the first derivative of 0*q**2 - 4 + 0*q + b*q**3 - 1/10*q**4. Suppose k(w) = 0. What is w?
0, 2
Let q be (-27790)/28*-1*(-8)/(-10). Let s = -792 + q. Find w, given that -58/3*w**4 + 6*w**5 - 16*w + 50/3*w**s + 10*w**3 + 8/3 = 0.
-1, 2/9, 1, 2
Let f = -13317 - -40729/3. Let t = 261 - f. Determine h