 11)*(k - 1)*(k + 1)/9
Let t be 4/(-22) + (133/76 - (-2033)/836). Factor -3/7*a**5 - 3/7*a**t + 27/7*a**3 + 0 + 12/7*a - 33/7*a**2.
-3*a*(a - 1)**3*(a + 4)/7
Let o = -157 - -211. Solve -5*l**2 + 15 - 50*l - o*l + 149*l - 55*l = 0.
-3, 1
Let u(s) be the second derivative of -1/24*s**4 - 11/12*s**3 + 1 - 13*s - 9/2*s**2. Solve u(k) = 0 for k.
-9, -2
What is f in -27832*f**2 + 3039*f + 27828*f**2 + 472*f - 713*f + 4*f**5 - 516*f**3 + 1362*f - 3600 - 44*f**4 = 0?
-5, 1, 2, 18
Let t(w) = w + 6. Let p be t(-2). Suppose 12*o + p = 13*o. Solve -2*y**3 + 40*y - o - 2*y**2 - 30*y - 2*y**3 = 0 for y.
-2, 1/2, 1
Let n(c) be the third derivative of -c**6/240 - 8*c**5/5 - 63*c**4/4 - 188*c**3/3 + 125*c**2. Solve n(x) = 0.
-188, -2
Let i(u) be the third derivative of u**5/120 + 53*u**4/3 + 847*u**3/12 - 2*u**2 - 40*u - 1. Factor i(g).
(g + 1)*(g + 847)/2
Solve 39 + 205*x - 129 - 1125*x**2 - 1157*x - 81*x**3 - 118 = 0.
-13, -4/9
Let v(n) be the second derivative of 3/50*n**5 - 73*n - 11/15*n**4 - 2*n**2 + 37/15*n**3 + 0. Suppose v(r) = 0. Calculate r.
1/3, 2, 5
Let p(s) = -3*s**3 - 30*s**2 + 57*s + 57. Let v(f) = f**3 + 7*f**2 - 14*f - 14. Let b(k) = 2*p(k) + 9*v(k). Factor b(d).
3*(d - 2)*(d + 1)*(d + 2)
Let x(d) be the first derivative of 5*d**6/3 - 7*d**5 + 15*d**3 + 926. Determine s so that x(s) = 0.
-1, 0, 3/2, 3
Factor 11*x + 42*x + 246*x**3 + 30*x - 10*x**2 - 360 - 251*x**3 + 112*x.
-5*(x - 3)**2*(x + 8)
Let j(d) be the third derivative of d**8/966 - 29*d**7/2415 + 21*d**6/460 - d**5/15 + 2*d**4/69 - 4*d**2 - 81*d. What is v in j(v) = 0?
0, 1/4, 1, 2, 4
Let n = 6831 + -6828. Let a(g) be the first derivative of -9/4*g - 21 - 1/12*g**n + 3/4*g**2. What is j in a(j) = 0?
3
Suppose -5 + 3 = -4*a + 2*f, -4*f + 32 = 4*a. Factor -63*h**2 - 6*h**5 + 62*h**2 - 9*h**4 + 2*h**5 - 6*h**a.
-h**2*(h + 1)**2*(4*h + 1)
Suppose -563*s + 206*s + 808*s**2 + 361 - 49 - 199*s - 20*s**3 - 544*s = 0. Calculate s.
2/5, 1, 39
Let q(d) = d**4 + 329*d**3 - 348*d**2 + 9*d - 9. Let z(o) = -o**4 - 164*o**3 + 173*o**2 - 4*o + 4. Let k(r) = -4*q(r) - 9*z(r). Factor k(p).
5*p**2*(p - 1)*(p + 33)
Let y(v) = 17*v - 48*v + 2*v**2 + 26*v - 15. Let b be y(5). Factor 2*n**3 - n**3 + 2*n**3 - b*n + 4*n + 3*n**2.
3*n*(n - 1)*(n + 2)
Let z(l) be the third derivative of 5/336*l**8 + 5/24*l**6 + 0*l**4 + 0*l**3 + 2 - 2/21*l**7 + 0*l - 1/6*l**5 - 53*l**2. Determine r so that z(r) = 0.
0, 1, 2
Let s = -29 - -31. Let u(v) = -v - 29. Let z be u(-32). Let 6*n**2 + s*n**3 - 3*n + 0*n**3 - 6 + n**3 + 3*n**2 - z*n**4 = 0. What is n?
-1, 1, 2
Let a(o) = -2879*o + 224562. Let f be a(78). Suppose f*d + 3/7 - 3/7*d**2 = 0. Calculate d.
-1, 1
Let g(j) be the first derivative of j**5/80 + j**4/48 - j**3/24 - j**2/8 + 172*j + 234. Let w(f) be the first derivative of g(f). Factor w(s).
(s - 1)*(s + 1)**2/4
Let z(k) = -7*k**2 - 76*k - 8. Let p be z(-10). Determine h so that 1468 - 5*h + 3*h**2 - p*h - 6*h - 1408 = 0.
1, 20
Factor -95/3*b**2 - 4/3*b**3 + 9*b + 24.
-(b - 1)*(b + 24)*(4*b + 3)/3
Let d(w) be the first derivative of -4*w**5/5 - 27*w**4 - 360*w**3 - 2376*w**2 - 7776*w - 253. Find o, given that d(o) = 0.
-9, -6
Suppose 0 = 4*q + x - 65, 3*x + 2*x = 4*q - 59. Let c = q - 13. Solve 2*l + l**c - 34*l**2 + 64*l**2 - 3*l - 31*l**2 + l**4 = 0.
-1, 0, 1
Let u(k) be the second derivative of 6/13*k**3 + 0 - 1/78*k**4 - 98*k - 81/13*k**2. Factor u(s).
-2*(s - 9)**2/13
Find y, given that 2408*y**2 - 118*y**4 + 2400*y**3 - 1557*y + 4*y**5 - 847*y - 2290*y**4 = 0.
-1, 0, 1, 601
Factor -733/5 + 293/2*h + 1/10*h**2.
(h - 1)*(h + 1466)/10
Find m, given that 22/3*m + 3*m**2 - m**4 - 7/6*m**3 + 4 - 1/6*m**5 = 0.
-3, -2, -1, 2
Let i(n) be the first derivative of -n**7/490 - n**6/210 + n**5/105 - 43*n**2/2 + 38. Let h(c) be the second derivative of i(c). Factor h(m).
-m**2*(m + 2)*(3*m - 2)/7
Let m(n) be the second derivative of n**7/840 + 11*n**6/360 + n**5/3 + 2*n**4 + 23*n**3 + 94*n. Let w(a) be the second derivative of m(a). Factor w(p).
(p + 3)*(p + 4)**2
Let a(n) be the third derivative of -59*n**5/12 + 155*n**4/12 - 5*n**3/2 + 2495*n**2. Factor a(o).
-5*(o - 1)*(59*o - 3)
Let j(u) = u**2 - 68*u - 288. Let n be j(72). Let z(l) be the second derivative of 4/21*l**3 + n - 2/7*l**2 - 2*l + 1/140*l**5 - 5/84*l**4. Factor z(o).
(o - 2)**2*(o - 1)/7
Let h(s) = 13*s**4 + 11*s**3 - 611*s**2 + 1481*s + 5586. Let b(c) = -22*c**4 - 18*c**3 + 1018*c**2 - 2468*c - 9310. Let n(d) = 10*b(d) + 17*h(d). Factor n(g).
(g - 7)**2*(g + 2)*(g + 19)
Let j(h) be the second derivative of 3/10*h**5 + 0 - 1/15*h**6 - 16*h + 1/3*h**3 + 0*h**2 - 1/2*h**4. What is u in j(u) = 0?
0, 1
Let o(i) be the first derivative of i**6/600 + i**5/300 - 34*i**2 + 107. Let w(z) be the second derivative of o(z). Suppose w(p) = 0. What is p?
-1, 0
Let p(u) be the second derivative of -u**5/20 + 13*u**4/3 - 893*u**3/6 + 2527*u**2 + 3101*u. Find z, given that p(z) = 0.
14, 19
Factor -1/4*o**2 - 87/2 - 35/4*o.
-(o + 6)*(o + 29)/4
Suppose 0 = 5*u - 38 - 22. Let d be 1261/(-78) - -16 - (-62)/u. Find m such that 1/2*m - 3/2*m**4 + 3*m**2 - m**3 + 1/2*m**d - 3/2 = 0.
-1, 1, 3
Let n(o) = 7*o**2 + 1039*o + 1050. Let j(l) = -22*l**2 - 3112*l - 3147. Let s(v) = 6*j(v) + 19*n(v). Suppose s(a) = 0. What is a?
-1068, -1
Let u(i) be the first derivative of -7*i**6/30 + 201*i**5/25 - 803*i**4/20 - 9409*i**3/15 - 1071*i**2 - 2312*i/5 - 804. Suppose u(r) = 0. What is r?
-4, -1, -2/7, 17
Let i be (-68)/(-12) - 2/3. Suppose m + 21 = i*k, -2*m - 6 = 2*k - 12. Factor 4*w**2 + 10*w**3 + 44*w**5 - 6*w**k - 2*w**2 + 20*w**4 - 38*w**5.
2*w**2*(w + 1)**2*(3*w + 1)
Let q = 188/787 + -10664755/7083. Let t = 1507 + q. Suppose -2/9*k**3 - 22/9*k - t*k**2 - 10/9 = 0. Calculate k.
-5, -1
Let m(f) be the third derivative of 2*f**7/105 - 2*f**6/15 - 19*f**5/15 - 7*f**4/3 - 1171*f**2 - 1. Factor m(o).
4*o*(o - 7)*(o + 1)*(o + 2)
Suppose 2*l - 12*b = -17*b - 20, -4*l + 8 = -2*b. Solve 1/3*m**4 + 1/3*m**5 + 0*m - 1/3*m**3 - 1/3*m**2 + l = 0 for m.
-1, 0, 1
Let i(h) be the first derivative of h**4/96 - 7*h**3/24 - 106*h - 125. Let w(f) be the first derivative of i(f). Factor w(l).
l*(l - 14)/8
Let r(x) be the third derivative of -x**7/42 - 47*x**6/24 - 67*x**5/6 - 55*x**4/3 - 5345*x**2. Factor r(y).
-5*y*(y + 1)*(y + 2)*(y + 44)
Let z(y) = -25*y - 223. Let k be z(-9). Suppose 2*h - 4*h - k = -4*c, 3*h = 5*c. Factor 2/7*t**2 + 2/7*t**5 - 2/7*t**4 - 2/7*t**c + 0*t + 0.
2*t**2*(t - 1)**2*(t + 1)/7
Let m(n) = 3*n**2 - 8*n - 18. Let i(z) = 32*z**2 - 80*z - 181. Let p(c) = -4*i(c) + 42*m(c). Factor p(j).
-2*(j + 4)**2
Let j = 885556/3 - 295168. Factor 22/3*z + j - 2/3*z**2.
-2*(z - 13)*(z + 2)/3
Let k(x) be the first derivative of 5*x**3 + 5*x**2 - 25/4*x**4 + 10 + 0*x. Factor k(p).
-5*p*(p - 1)*(5*p + 2)
Suppose -13*a - 70 = -122. Let h(g) = 34*g - 132. Let m be h(a). Determine z so that 9/4*z**3 - 27/8*z**2 + 0*z - 3/8*z**m + 0 = 0.
0, 3
Suppose 736*h = -5*g + 740*h + 50, 0 = 2*h + 10. Factor -g*q - 2/3*q**2 + 20/3.
-2*(q - 1)*(q + 10)/3
Suppose -2*j + 6 = -6. Suppose j*t**4 - 13*t - 3*t + 32 - 55*t**3 - 2*t**4 - 24*t**2 + 59*t**3 = 0. What is t?
-2, 1, 2
Let z = 819237 + -4096183/5. Solve 4/5*h**4 + 4/5 + 2/5*h + z*h**3 - 12/5*h**2 = 0.
-2, -1/2, 1
Let i(q) be the second derivative of q**7/42 + 44*q**6/3 + 437*q**5/5 + 436*q**4/3 - 2825*q. Factor i(v).
v**2*(v + 2)**2*(v + 436)
Let v(q) = 22*q + 89. Let u be v(-4). Suppose -3*d + 5 = p, -2*d + 5*p - u = -10. Solve -5/2*n**d - 25/2*n**3 + 25/2*n + 5/2 = 0.
-1, -1/5, 1
Let x = 359 + -286. Determine f, given that -f**2 + 8*f + 87 + 3*f**2 - 13*f - x - 11*f = 0.
1, 7
Let g(m) be the second derivative of m**6/10 - 9*m**5/5 + 9*m**4/2 + 38*m**3 + 135*m**2/2 + 2834*m. Factor g(u).
3*(u - 9)*(u - 5)*(u + 1)**2
Factor -536 + 1134*x**2 - 8*x - 132 + 8*x**3 - 466*x**2.
4*(x - 1)*(x + 1)*(2*x + 167)
Suppose 4*u = s - 27 + 107, 2*u = 6. Let d = -64 - s. Solve 2 - d*c**2 + 3*c**2 + 2 - 3*c**2 = 0.
-1, 1
Let r be (160/35 - 4)/(-5 - 266/49 - -13). What is f in -2*f + 28/9 - r*f**4 + 2*f**3 - 26/9*f**2 = 0?
-1, 1, 2, 7
Let c be (-2)/(-3)*9/30*(-224 - -236). Let -1/5*p**5 + 1/5*p**3 + 0 - 16/5*p**2 + 4/5*p**4 + c*p = 0. What is p?
-2, 0, 1, 2, 3
Let l(y) be the second derivative of 0 + 0*y**2 + 39*y + 486*y**4 + 3/5*y**6 + 243/10*y**5 + 1/168*y**7 + 4374*y**3. Fact