ive of -1/24*i**6 + 21*i - 5/12*i**3 + 0 + 5/8*i**2 + 1/8*i**5 + 0*i**4. Factor u(j).
-5*(j - 1)**3*(j + 1)/4
Let f(p) = p**3 + p + 1. Let x(y) = 8*y**3 + 20*y**2 + 3*y + 3. Let v(j) = 3*f(j) - x(j). Factor v(h).
-5*h**2*(h + 4)
Let c = 2251/462 - 1/66. Factor -8/7 - 16/7*p**4 - 2/7*p**5 - 8*p**2 - c*p - 44/7*p**3.
-2*(p + 1)**4*(p + 4)/7
Let n(q) = q + 7. Let k(o) = o + 7. Let t(i) = 6*k(i) - 5*n(i). Let h be t(-7). Let -1 - 4*f**3 + h*f - 8*f**2 - 3*f - 2*f + 0*f = 0. What is f?
-1, -1/2
Factor 23 - 3/2*x**2 + 67/2*x.
-(x - 23)*(3*x + 2)/2
Let p(j) = j**2 + 3*j - 38. Let z be p(5). Let s(l) be the first derivative of 4 + 1/18*l**3 + 1/12*l**z + 0*l. Solve s(a) = 0.
-1, 0
Let x(t) = 60*t**2 - 155*t + 95. Suppose -f + 7 = -36*n + 37*n, 4*n = 16. Let j(s) = 4*s**2 - 9*s + s**2 + 8 - 4*s. Let z(c) = f*x(c) - 35*j(c). Factor z(k).
5*(k - 1)**2
Let r = 14/33 - 16/55. Find t such that 8/15*t**4 - r*t**2 + 0*t + 0 - 2/5*t**3 = 0.
-1/4, 0, 1
Let r(j) be the first derivative of -3*j**5/20 + 9*j**4/16 + j**3/2 - 9*j**2/2 + 6*j - 678. What is l in r(l) = 0?
-2, 1, 2
Suppose -22*b + 20*b - r = -6, 5*b + 30 = 5*r. Factor 0 + 3/2*k**4 + 0*k + b*k**2 - 3/2*k**3.
3*k**3*(k - 1)/2
Suppose 0 = 2*h - 1081 + 1069. Let r(u) be the third derivative of 5/24*u**4 - 13*u**2 - 1/24*u**h + 5/3*u**3 + 0 + 0*u - 1/6*u**5. Solve r(w) = 0.
-2, -1, 1
Let g(k) be the second derivative of -k**9/6048 - k**8/896 - k**7/504 + k**4/4 + 5*k. Let o(b) be the third derivative of g(b). Find n, given that o(n) = 0.
-2, -1, 0
Suppose 4*i = -2*c + 14, 2*c + 22 - 1 = 3*i. Let b(n) be the third derivative of 7*n**2 + 0*n - 1/60*n**i + 0 + 1/12*n**4 - 1/120*n**6 + 0*n**3. Factor b(t).
-t*(t - 1)*(t + 2)
Suppose 9*g + 2*f - 6 = 0, -21*g - 2*f + 6 = -26*g. What is o in -2/7*o**2 + g + 8/7*o = 0?
0, 4
Let d(l) be the third derivative of 0 + 0*l**4 + 1/540*l**6 + 0*l - 25*l**2 + 0*l**3 + 1/135*l**5. Factor d(t).
2*t**2*(t + 2)/9
Let n be 1548/172 + (0 - 9). Factor 16/3 - 4/3*b**2 + n*b.
-4*(b - 2)*(b + 2)/3
Let p = 234 + -1167/5. Let t(d) be the first derivative of 4 + 0*d + 3*d**4 + 0*d**2 - 3*d**3 - p*d**5. Determine o so that t(o) = 0.
0, 1, 3
Factor 0*m + 0 + 10/9*m**4 - 2/9*m**5 + 0*m**2 + 4/3*m**3.
-2*m**3*(m - 6)*(m + 1)/9
Let n(l) = -37*l - 2923. Let o be n(-79). Factor -2/11*z**3 - 2/11*z**4 + o + 2/11*z**2 + 2/11*z**5 + 0*z.
2*z**2*(z - 1)**2*(z + 1)/11
Let y(x) = 2*x**2 - 15*x + 12. Let q be y(7). Determine z, given that 0*z**2 + 2/15*z**3 + 0 + 0*z + 4/15*z**4 + 2/15*z**q = 0.
-1, 0
Let z(q) = -50*q**3 - 74*q**2 - 27*q - 5. Let x(l) = -201*l**3 - 297*l**2 - 108*l - 21. Suppose 5*m + 12 = 2. Let p(y) = m*x(y) + 9*z(y). Factor p(r).
-3*(r + 1)*(4*r + 1)**2
Let m(o) = o + 22. Let i be m(-4). Factor i*t**2 + 5 + 10*t + 21*t**2 - 34*t**2.
5*(t + 1)**2
Let w(p) be the first derivative of -343*p**6/18 - 98*p**5/5 + 1001*p**4/4 + 2638*p**3/9 + 126*p**2 + 24*p - 396. Determine x, given that w(x) = 0.
-3, -2/7, 3
Let w(n) be the third derivative of -7/32*n**4 + 28*n**2 + 0 - 1/16*n**5 - 3/8*n**3 + 0*n - 1/160*n**6. Find v such that w(v) = 0.
-3, -1
Let u(q) be the second derivative of q**8/12600 + q**7/3150 + q**6/2700 - 7*q**3/6 + 11*q. Let f(n) be the second derivative of u(n). Solve f(i) = 0.
-1, 0
Suppose -2*m - 3*g - 3 = -2, 5*m - g = 23. Suppose m*q - 2 = l, 3*q + 0 = 5*l + 10. Factor 0*j + 0 - 2/11*j**4 - 2/11*j**3 + q*j**2.
-2*j**3*(j + 1)/11
Let u be ((-2720)/(-510))/((-10)/(-3)). Suppose 0 + 28/5*c**4 - u*c**2 + 6/5*c**5 + 14/5*c**3 + 0*c = 0. What is c?
-4, -1, 0, 1/3
Let o(y) = -17*y**3 - 14*y**2 - 13*y + 9. Let r(d) = 16*d**3 + 14*d**2 + 10*d - 8. Let j(u) = -4*o(u) - 5*r(u). Factor j(x).
-2*(x + 1)*(2*x - 1)*(3*x + 2)
Let j(u) be the second derivative of u**4/4 + 2*u**3 + 6*u**2 - 27*u. Factor j(c).
3*(c + 2)**2
Suppose 9 = x - 2*r - 9, -r + 46 = 5*x. Factor -x + 4*l**2 + 27 - 12*l - 17.
4*l*(l - 3)
Let s = 20533/6 + -3411. Let j = -11 + s. Suppose -j*k**5 - 1/6 + 1/3*k**3 - 1/6*k**4 - 1/6*k + 1/3*k**2 = 0. Calculate k.
-1, 1
Suppose 6*p - p = 10. Factor 409*i - 389*i + 8*i**3 + 3*i**4 + p*i**4 + 2*i**3 - 35*i**2.
5*i*(i - 1)**2*(i + 4)
Let s(g) be the third derivative of -g**6/600 + g**5/75 + 29*g**4/120 + 4*g**3/5 + 324*g**2. Factor s(o).
-(o - 8)*(o + 1)*(o + 3)/5
Let h(c) = 3*c**2 - 3 - 9*c - 5*c**3 - 1 + 0*c**2 + 3*c**2. Let i(j) = 9*j**3 - 11*j**2 + 17*j + 7. Let q(f) = 11*h(f) + 6*i(f). Suppose q(k) = 0. What is k?
-2, 1
Suppose -732 = -i - 729. Let v = 0 + 4. Factor 5*s**v - 4*s - 20*s**2 + 7*s**3 + 7*s**4 + 8 - 3*s**i.
4*(s - 1)*(s + 1)**2*(3*s - 2)
Suppose 21 + 3*i + 12*i**2 - 23*i**2 + 8*i**2 + 15 = 0. Calculate i.
-3, 4
Find v such that 26/3*v + 2 + 1/2*v**4 + 25/2*v**2 - 1/3*v**5 + 20/3*v**3 = 0.
-2, -1, -1/2, 6
Let a(j) be the second derivative of 1/3*j**4 - 5*j**2 - 10*j + 0*j**3 + 0. Let f(o) = -9*o**2 + o + 21. Let n(h) = 13*a(h) + 6*f(h). Factor n(y).
-2*(y - 2)*(y - 1)
Solve -63/5*z**3 + 68/5*z**2 + 36*z**5 + 0 - 527/5*z**4 + 12/5*z = 0 for z.
-1/4, -2/9, 0, 2/5, 3
Suppose 3*u - x - x = 24, 0 = -4*u + 4*x + 36. Let m(d) = -d**2 + 5*d - 3. Let o be m(3). Suppose o*h - h - 6 - 3*h**2 + u*h + h = 0. Calculate h.
1, 2
Factor 2/17*u**2 + 392/17 + 56/17*u.
2*(u + 14)**2/17
Let d(a) = a + 24. Let b be d(-22). Let q be 3 - 0/(2*-1). Solve 8 + 3*o + q*o**b - 8 = 0.
-1, 0
Suppose 24/11*w - 70/11 - 2/11*w**2 = 0. Calculate w.
5, 7
Let f(p) = -23*p**2 - 20 - 17*p**2 - 56*p + 52*p**2. Let j(b) = -36*b**2 + 168*b + 60. Let l(v) = 8*f(v) + 3*j(v). Solve l(k) = 0.
-1/3, 5
Let i(j) be the second derivative of 5*j**4/48 - 15*j**3/8 + 45*j**2/4 - 152*j. Factor i(s).
5*(s - 6)*(s - 3)/4
Let a(z) be the second derivative of -1/20*z**6 + 4*z + 0 + 0*z**2 - 1/24*z**4 - 1/84*z**7 + 0*z**3 - 3/40*z**5. Find b such that a(b) = 0.
-1, 0
Let u = -1 + 4. Let d(f) = f**3 - f**2 + 2*f - 1. Let g be d(1). Factor u*k + g - 1 + 8*k**2 - 5*k**2.
3*k*(k + 1)
Factor -118*f**2 + 35*f - 55*f - 76*f + 244*f**2 - 122*f**2.
4*f*(f - 24)
Let u be (-68)/(-374) + 40/22. Let a(k) be the first derivative of -3/4*k**4 + 3/2*k**u + 3*k - k**3 + 6. Factor a(z).
-3*(z - 1)*(z + 1)**2
Let c(l) = -3*l**2 + 22*l. Let u(i) = 2*i. Let f(d) = c(d) - 2*u(d). Find a such that f(a) = 0.
0, 6
Let d be (-56)/(-39) - (0 - -1)*170/255. Factor -2/13 - d*z - 20/13*z**3 - 10/13*z**4 - 20/13*z**2 - 2/13*z**5.
-2*(z + 1)**5/13
Let t(g) be the second derivative of 5*g**7/42 - 20*g**6/3 + 145*g**5 - 1500*g**4 + 7200*g**3 - 17280*g**2 + 552*g. What is i in t(i) = 0?
2, 12
Let s(g) be the second derivative of g**5/40 - g**4/24 - g**3/2 + 48*g. Factor s(c).
c*(c - 3)*(c + 2)/2
Suppose -5*o = -c - 17 + 5, -3*o = -9. Let z(r) be the third derivative of 0 + 0*r + 1/60*r**5 - 1/3*r**c + 1/24*r**4 + 5*r**2. Suppose z(u) = 0. What is u?
-2, 1
Solve 1/2*l - 7/2*l**2 + 37/8*l**4 - 11/4*l**5 + 0 + 27/8*l**3 = 0 for l.
-1, 0, 2/11, 1/2, 2
Let 2/3 + 31/6*f**4 + 4*f + 10*f**3 + 55/6*f**2 + f**5 = 0. What is f?
-2, -1, -2/3, -1/2
Let o(c) = -5*c**2 + 15*c - 24. Let r(g) = -3*g**2 + 7*g - 12. Let a(i) = -2*i - 14. Let v be a(-5). Let y(f) = v*o(f) + 7*r(f). Let y(p) = 0. What is p?
-12, 1
Let u be (9/15)/(12/16). Let h = -8/143 - -1756/715. Suppose -u*o**2 - 8/5 + h*o = 0. Calculate o.
1, 2
Let i(h) be the third derivative of -h**6/240 - h**5/40 + 14*h**3/3 - 22*h**2. Let l(n) be the first derivative of i(n). Factor l(b).
-3*b*(b + 2)/2
Factor 1360/3*y - 71/3*y**2 - 1156 + 1/3*y**3.
(y - 34)**2*(y - 3)/3
Factor 50*q**4 + 16/11*q + 136/11*q**2 + 250/11*q**5 + 420/11*q**3 + 0.
2*q*(q + 1)*(5*q + 2)**3/11
Let f(b) be the second derivative of -18*b + 0*b**3 + 7/4*b**5 - 5/14*b**7 + 0*b**2 - 1/3*b**6 + 0 - 5/6*b**4. Find l, given that f(l) = 0.
-2, 0, 1/3, 1
Let b be (-6)/(-16) + (-37903)/232. Let h = b + 165. Let -2/15*u**h + 8/15 + 0*u = 0. Calculate u.
-2, 2
Let u be ((-192)/28)/6 - 87/(-21). Factor -2/21*p**2 + 2/21*p**u + 2/21 - 2/21*p.
2*(p - 1)**2*(p + 1)/21
Solve 3850/9*k**5 - 752/9*k**2 + 32/9 - 32/3*k + 570*k**4 + 656/9*k**3 = 0.
-1, -2/5, 2/11, 2/7
Let u(y) be the second derivative of y**7/21 + 17*y**6/15 + 9*y**5 + 18*y**4 - 72*y**3 + 210*y. Factor u(g).
2*g*(g - 1)*(g + 6)**3
Factor 12*n**4 - 18*n**4 - n**2 + 3*n**4 + 4*n**3 + 8*n**4.
n**2*(n + 1)*(5*n - 1)
Let x(l) be the third derivative of 1/160*l**6 + 0 + 1/24*l**3 - 1/48*l**5 -