)**2*(k + 1)*(2*k - 3)/6
Let h = -1 - -53. Let y = 55 - h. Factor -8*f**4 + 11*f**4 - 6*f**4 + 4*f - 15*f**2 + 2*f + 12*f**y.
-3*f*(f - 2)*(f - 1)**2
Factor -45/4 - 27/8*h + 1/8*h**2.
(h - 30)*(h + 3)/8
Suppose 0*l + 0 + 77/5*l**3 - 18*l**2 + 14/5*l**4 - 1/5*l**5 = 0. What is l?
-5, 0, 1, 18
Let n be 37/1 - 0 - 2. Let c(v) = -v**2 + 7*v - 13. Let i(w) = 75 - 144 + 68. Let h(b) = n*i(b) - 5*c(b). Factor h(r).
5*(r - 6)*(r - 1)
Suppose -q + 28 = 5*n, -2*q + 2*n + 22 - 26 = 0. Find v such that 10*v - 52*v**2 - 16*v**3 + 66*v**q + 7*v**4 - 15*v**4 = 0.
0, 1/4, 1, 5
Let z(b) be the second derivative of 5*b**4/12 - 265*b**3/2 - 805*b**2 - 1071*b. Let z(k) = 0. Calculate k.
-2, 161
Let k(d) be the second derivative of 0 - 7/16*d**4 + 0*d**2 - 20*d + 3/20*d**5 + 5/12*d**3 - 1/120*d**6. Solve k(u) = 0 for u.
0, 1, 10
Suppose 0 = -2*p + 16*p + 168. Let h be 3 + 88/p + 5. Suppose 0*d + 4/15*d**2 + 0 + 2/5*d**4 - h*d**3 = 0. What is d?
0, 2/3, 1
Let m(s) = -3*s**2 + 19*s - 8. Let z be m(6). Let k be (z + 4)/(10 + 12/(-3)). Let 1/3*f**2 + 0 - k*f = 0. Calculate f.
0, 1
Let d(c) = c**2 + 57*c + 54. Let g be d(-56). Let t be (-3 + (-7 - -11))*(g + 5). Factor 0*r + 0 + 16/5*r**2 + 4/5*r**t.
4*r**2*(r + 4)/5
Factor 324/7 - 234/7*j + 48/7*j**2 - 2/7*j**3.
-2*(j - 18)*(j - 3)**2/7
Let x(j) = -15*j**2 + 12095*j - 11825. Let s(v) = -v**2 + 864*v - 845. Let u(r) = 85*s(r) - 6*x(r). Factor u(z).
5*(z - 1)*(z + 175)
Factor 8*f**3 + 24/5*f**2 + 0 + 0*f + 6/5*f**4.
2*f**2*(f + 6)*(3*f + 2)/5
Suppose 3*n + 0 = d - 23, 4*n + 29 = 3*d. Let j be (3156/(-396) - n)*18. Factor 8/11*r**2 + j*r + 2/11*r**3 + 0.
2*r*(r + 1)*(r + 3)/11
Let n be 1 - -2 - 84/12 - -6. Determine s so that 40*s**n + 240*s - 60*s**3 - 244 - 27 + 4*s**5 - 17 = 0.
-3, 2
Let m(f) be the second derivative of -27/4*f**2 - 15/4*f**3 + 0 - 3/16*f**5 - 1/80*f**6 - 37/32*f**4 - 299*f. Factor m(q).
-3*(q + 2)**2*(q + 3)**2/8
Let l(s) be the first derivative of s**6/21 + 164*s**5/35 - 127*s**4/7 + 176*s**3/21 + 253*s**2/7 - 340*s/7 - 582. Solve l(d) = 0.
-85, -1, 1, 2
Let d be (-760)/(-80) - 21/(-6). Suppose -25 = 18*v - d*v, 3*r + 5*v + 19 = 0. Determine q so that -1/4*q**3 - 2*q**r - 4 - 5*q = 0.
-4, -2
Let -35344/5*o - 376/5*o**2 - 1/5*o**3 + 0 = 0. What is o?
-188, 0
Let y = 581/18330 + 1/611. Let l(f) be the third derivative of 0 - 1/150*f**5 + f**2 - y*f**4 + 0*f + 0*f**3. Factor l(r).
-2*r*(r + 2)/5
Let q = -266 + 269. Suppose 130*l**2 + 582*l - 2*l**q - 2*l**3 - 4277 - 1670*l + 4789 = 0. What is l?
1/2, 16
What is c in -1304*c - 23999 + 23999 - 4*c**2 = 0?
-326, 0
Solve 25*c**2 + 5*c**3 + 3840 - 17*c**2 + 800*c + 10*c**2 - 84*c**2 - 79*c**2 = 0 for c.
-3, 16
Let f(q) be the third derivative of -q**7/1365 + 16*q**6/65 - 108*q**5/13 + 1584*q**4/13 - 12528*q**3/13 - 1900*q**2. What is p in f(p) = 0?
6, 174
Let y = 1210271/9 + -134474. Solve 0 - 1/9*d**2 + y*d = 0 for d.
0, 5
Find j, given that -109/4*j**4 - 1/4*j**5 - 3379/4*j**3 + 12850*j - 20411/4*j**2 - 6875 = 0.
-50, -11, 1
Let s(u) = -6*u**3 - 5*u**2 - 30*u + 2. Let a be s(0). Let 0 + 8/21*n**3 - 2/21*n**4 + 4/21*n - 10/21*n**a = 0. Calculate n.
0, 1, 2
Let r(s) be the first derivative of -5*s**6/6 - 194*s**5/3 + 15*s**4/2 + 1900*s**3/3 - 7715*s**2/6 + 970*s + 1395. Determine p, given that r(p) = 0.
-194/3, -3, 1
Let t(j) be the first derivative of 11*j**5 + 2685*j**4/4 + 9370*j**3 - 58370*j**2 + 20280*j + 7781. Solve t(a) = 0.
-26, 2/11, 3
Suppose 20 = -d + 23. Determine h, given that -23*h**4 + 413*h**2 - 96*h + d*h**5 - 49 - 347*h**2 - h**4 + 39*h**3 - 47 = 0.
-1, 2, 4
Let v(a) be the first derivative of -a**4/8 + 17*a**3/3 - 201*a**2/4 + 162*a - 1468. Factor v(q).
-(q - 27)*(q - 4)*(q - 3)/2
What is z in -184/11*z**2 + 228/11*z - 1/11*z**4 - 43/11*z**3 + 0 = 0?
-38, -6, 0, 1
Suppose -209/10*q**2 - 3/10*q**4 + 73/2*q + 43/10*q**3 - 10 = 0. What is q?
1/3, 4, 5
What is p in 0 - 4/3*p**2 + 80/3*p - 4/3*p**3 = 0?
-5, 0, 4
Find t such that 0*t + 136/13*t**3 + 0 + 14/13*t**4 + 64/13*t**2 - 4/13*t**5 = 0.
-4, -1/2, 0, 8
Let t be -8 - (4*50/20)/(-5 + 4). Suppose -4*j + 3*a + 10 = 0, 4*j - 2*a = 4 + 8. Factor -3/8*d**j + 0*d + 5/8*d**3 - 1/4*d**t + 0.
-d**2*(d - 1)*(3*d - 2)/8
Let q(x) = -7*x + 15. Let i(f) = f**2 + 16*f - 55. Let r be i(-19). Let y be q(r). Determine m, given that y + m**2 - 10/3*m = 0.
1/3, 3
Let i be (-4 - -1) + (-1312)/(-416). Determine c, given that 2/13*c + 0 - i*c**2 = 0.
0, 1
Solve -2848*c + 5568 - c**3 - 3*c**3 + 179*c**2 - 36*c**2 + 237*c**2 = 0 for c.
4, 87
Let q(h) be the second derivative of 0*h**2 + 0 + 5/14*h**7 + 11/4*h**5 - 11/6*h**6 - 5/12*h**4 - 5/3*h**3 + 27*h. Solve q(s) = 0.
-1/3, 0, 1, 2
Let u(p) be the second derivative of -p**6/720 + p**5/48 + p**3/6 + p**2 + 91*p. Let j(q) be the second derivative of u(q). Factor j(c).
-c*(c - 5)/2
Suppose -83*m - 512 = -87*m. Factor 30315*d**4 - 30307*d**4 + 2*d**5 - 16*d**3 - 137*d - 2*d - 85*d - 128 - m*d**2.
2*(d - 4)*(d + 2)**4
Let y = -121 - -129. What is z in 3*z**4 + 8*z**4 + y*z**4 - 26*z**4 - z**5 = 0?
-7, 0
Solve 6/7*k**3 - 816/7 + 396/7*k + 414/7*k**2 = 0 for k.
-68, -2, 1
Let p(w) be the first derivative of -w**4 + 104*w**3/3 - 142*w**2 + 184*w + 279. Suppose p(i) = 0. What is i?
1, 2, 23
Factor -26935*f - 2*f**2 - 112130 - 748542 + 29559*f.
-2*(f - 656)**2
Let c = -1488469 + 1488472. Suppose -44/5*w**c - 32/5 - 20*w - 4/5*w**4 - 108/5*w**2 = 0. Calculate w.
-8, -1
Suppose 31*x = 33*x - 46. Suppose -39*r + 484 + 4*r**2 - x*r - 4*r - 22*r = 0. Calculate r.
11
Let j = 39 + -35. Factor -d - 47*d + 16 + 36*d + 0*d**2 - j*d**2.
-4*(d - 1)*(d + 4)
Let n(s) be the second derivative of 1/3*s**3 - 1/6*s**4 + 0 - 141*s + 0*s**2. Suppose n(u) = 0. Calculate u.
0, 1
Let v = -611911/53 + 11545. Let o = 183/265 + v. Factor -2/5*t + 0 - o*t**3 - 1/10*t**4 + 7/10*t**2.
-t*(t - 1)**2*(t + 4)/10
Let x(f) be the third derivative of 2*f**7/21 - 83*f**6/30 + 368*f**5/15 - 32*f**4 - 6283*f**2. Factor x(h).
4*h*(h - 8)**2*(5*h - 3)
Let z be 606/252 - 2 - 6/(-36). Factor 0 - 2/7*f**4 + 0*f + z*f**2 + 2/7*f**3.
-2*f**2*(f - 2)*(f + 1)/7
Let w(t) = -22*t**3 - 15*t**2 + 181*t - 291. Let m(h) = 236*h**3 + 164*h**2 - 1992*h + 3200. Let z(y) = -3*m(y) - 32*w(y). Suppose z(p) = 0. Calculate p.
-9, 2, 4
Let q be 2 - 4/1 - -4. Suppose 11 = q*j + 3*b, -4*b + b = -2*j + 17. Factor -j*a**3 - 133*a**2 + 12 + 256*a**2 - 32*a**3 - 96*a.
-3*(a - 2)*(a - 1)*(13*a - 2)
Let n(g) be the first derivative of 159 + 1/7*g**4 + 4/7*g**2 + 4/7*g**3 + 0*g. Factor n(r).
4*r*(r + 1)*(r + 2)/7
Let l = 357571/26988 + 5/6747. Suppose -39/4*f**2 + 7/4*f**3 + l*f + 1/4*f**4 - 11/2 = 0. Calculate f.
-11, 1, 2
Let y(d) be the first derivative of -5*d**2 + 12*d + 2/15*d**5 + 1/2*d**4 - 66 - 14/9*d**3. Factor y(n).
2*(n - 2)*(n - 1)*(n + 3)**2/3
Let s(a) be the third derivative of a**6/40 + 9*a**5/10 - 11*a**4 + 4042*a**2. Factor s(v).
3*v*(v - 4)*(v + 22)
Suppose -36*w**5 - 63*w**3 - 37*w**4 + 365*w**3 - 295*w**4 - 56*w**4 - 96*w**2 + 218*w**3 = 0. Calculate w.
-12, 0, 2/9, 1
Let m = 8194 - 24577/3. Let q be (-5)/(-2)*(-12)/(-18). Suppose m*o**4 - 5/3*o**2 - 10/3*o + 0 + 5*o**3 - q*o**5 = 0. What is o?
-1, 0, 1, 2
Let w be 1/((-425)/(-102) + -3). Suppose -1/7*a**3 - 9/7*a + w*a**2 + 4/7 = 0. What is a?
1, 4
Suppose 14*t - 4*v - 104 = 0, 10*v - 11*v = -5*t + 35. Factor 2/3*k**2 + t - 4*k.
2*(k - 3)**2/3
Suppose 13*v - 11*v = 10. Suppose 0 = -0*p - p - 2*l + v, -6 = 2*p - 4*l. Factor -p - 3*z**3 + 3 + 12*z - 2.
-3*z*(z - 2)*(z + 2)
Let a(g) be the second derivative of -g**7/84 + g**6/12 + 423*g**5/40 + 2167*g**4/24 - 3025*g**3/6 - 5140*g. Determine z so that a(z) = 0.
-11, 0, 2, 25
Let o(m) = -m**3 + 16*m**2 + 18*m + 32. Suppose 0 = -3*l - j + 53, -j + 20 = -4*l + 86. Let n be o(l). Factor -20*w**3 + 14*w**2 + 3 - 3 + 19*w**3 - n*w.
-w*(w - 7)**2
Let q = -11 + 19. Suppose -4*f = -q*f + 16. Factor -20*x**3 + 305*x**4 - 150*x**f - 151*x**4.
4*x**3*(x - 5)
Let o(p) be the first derivative of -11*p + p**3 - 11*p**2 - 16*p**2 + 21*p + 41*p + 14. Factor o(i).
3*(i - 17)*(i - 1)
Solve 518/3*f - 10*f**2 - 2/9*f**3 - 5782/9 = 0 for f.
-59, 7
Suppose -20*g = -0*g - 640. Factor -16 - 3 - 1 - 15*y**2 + 57*y + g.
-3*(y - 4)*(5*y + 1)
Suppose 0*a + 228 = -5*o + 3*a, -3*a = -4*o - 183. Let k be (243/o - -7)*(-10)/(-8). Find x such that -4/9*