k**2 + 2*k + 1. Let r(i) = -2*g(i) - 6*x(i). Suppose r(u) = 0. Calculate u.
-1, 1, 4/3, 8
Let d(l) = l**3 - 4*l**2 - 9*l - 8. Let f be d(6). Let 5*b**5 - 25*b + 6*b**4 + 20*b**3 + 5*b**2 - 3*b**4 + f - 23*b**4 + 5*b**2 = 0. Calculate b.
-1, 1, 2
Determine d so that -2/7*d**2 - 52*d + 366/7 = 0.
-183, 1
Suppose q + 4 = 4*w, -w - 4*w = 4*q - 26. Determine o so that -160 - 10*o**3 + 51*o - 2*o**q + 3*o**2 - 2*o**3 + 124 - o**4 - 3*o**3 = 0.
-4, -3, 1
Let n = -197 + 200. Suppose -6 = -2*x - x. Factor -13*f**n + 5*f**2 + 0*f**x + 12*f - 8 + 3*f**2 + f**3.
-4*(f - 1)*(f + 1)*(3*f - 2)
Let u(w) = 6*w**3 + 4100*w**2 - 2101234*w + 4186088. Let a(x) = 10*x**3 + 8199*x**2 - 4202470*x + 8372183. Let m(o) = -4*a(o) + 7*u(o). Factor m(t).
2*(t - 1023)**2*(t - 2)
Let b = -11973 + 95793/8. Let g(y) be the first derivative of -30 + b*y**2 + 3/20*y**5 - 1/4*y**3 - 9/16*y**4 + 0*y. Factor g(n).
3*n*(n - 3)*(n - 1)*(n + 1)/4
Let z(t) = -t**2 - 7*t + 10. Let w be z(-8). Factor -4*c**3 + 8*c - 21*c + 69*c**w - 4*c + 0*c.
-c*(c - 17)*(4*c - 1)
Let j(w) be the second derivative of -5*w**4/12 + 1965*w**3 - 6950205*w**2/2 - 4916*w. Factor j(c).
-5*(c - 1179)**2
Suppose 1522*u + 2768 = 5812. Determine r, given that 0 - 3/5*r**3 - 6/5*r**2 + u*r**4 - 1/5*r = 0.
-1/2, -1/5, 0, 1
Let q(i) be the first derivative of i**5/5 + 5*i**4/4 + i**3 - 5*i**2/2 - 4*i + 1168. Let q(j) = 0. Calculate j.
-4, -1, 1
Let o = 264 - 262. Factor 41*f**o - 89*f**2 + 15 + 43*f**2 + 10*f.
-5*(f - 3)*(f + 1)
Let o(s) be the second derivative of 22*s + 1/15*s**5 + 10/3*s**3 - s**4 - 11/2*s**2 + 0. Let q(j) be the first derivative of o(j). Factor q(y).
4*(y - 5)*(y - 1)
Let k(u) = -u**2 - 2*u + 102. Let p be k(-11). Suppose -p*w = 4*r + 16, 9*r = 4*r - 20. Let w - 9/5*v**3 + 0*v + 0*v**2 + 3/5*v**4 = 0. Calculate v.
0, 3
Let l(v) = -v**2 - 4*v + 14. Let i = -34 + 28. Let g be l(i). Factor 10 - 18 + 5*x**g + 53 + 30*x.
5*(x + 3)**2
Let n(w) be the third derivative of 1/60*w**5 + 0 + 1/8*w**4 + 0*w - 59*w**2 + 0*w**3. Factor n(r).
r*(r + 3)
Let w(p) be the third derivative of 0 - 19*p**2 - 1/60*p**6 + 1/60*p**5 + 0*p - 1/210*p**7 + 0*p**3 + 1/12*p**4. Factor w(m).
-m*(m - 1)*(m + 1)*(m + 2)
Let q = 348 + -346. Factor -3499*o**2 + 3514*o**q + 17*o + 18*o - 50.
5*(o - 1)*(3*o + 10)
Let o be (-1 - -10)*((-32)/(-6) + -6 - -1). Factor 0 + 0*a + 2/15*a**5 + 4/15*a**o - 2/5*a**4 + 0*a**2.
2*a**3*(a - 2)*(a - 1)/15
Let x(f) be the second derivative of -2*f**6/45 - 5*f**5/24 + 5*f**4/72 + 25*f**3/36 + f**2/4 - 1714*f. What is u in x(u) = 0?
-3, -1, -1/8, 1
Suppose 33 - 15*x**3 + 41*x**2 + 117*x**2 - 81 - 10*x**2 - 340*x = 0. What is x?
-2/15, 4, 6
Suppose -4*j + j + 4*n + 60 = 0, 0 = -j - 3*n + 33. Factor -3*l**4 + j - 2885*l**3 + 13*l**2 + 50*l**2 + 2870*l**3 - 69*l.
-3*(l - 1)**3*(l + 8)
Let q(h) = 3*h**3 - h**2 - 6*h - 20. Let r be q(-4). Let u = -200 - r. Factor 1/2*g**2 - u*g + 8.
(g - 4)**2/2
Factor -1476/5*d + 3/5*d**2 + 1473/5.
3*(d - 491)*(d - 1)/5
Suppose -2*p + 6 = 0, -80 + 68 = m - 5*p. Suppose 5*w = m*w + 9*w. What is q in 2/21*q**5 + w - 16/21*q**2 - 4/7*q**4 + 8/7*q**3 + 0*q = 0?
0, 2
Let y = 141 + -421/3. Let p = 14056/1917 + 2/1917. Determine f, given that -16*f**2 - 24*f**3 + p*f - y = 0.
-1, 1/6
Let g be 5 + 124/(-40) + -3*6/12. Factor -10*l - g*l**3 - 24/5 - 28/5*l**2.
-2*(l + 1)**2*(l + 12)/5
Let y(r) be the third derivative of 0 - 4/9*r**3 + 5/36*r**4 + 1/10*r**5 - 80*r**2 + 0*r. Find t, given that y(t) = 0.
-1, 4/9
Let c be 4/(-19 - -23) + 1/(3 + -4). Factor c + 0*s + 0*s**2 + 1/2*s**5 + 3/2*s**4 + s**3.
s**3*(s + 1)*(s + 2)/2
Determine d so that 3532760/3*d - 21177026/9*d**2 - 32/9*d**4 - 1325192/9 - 17360/3*d**3 = 0.
-814, 1/4
Suppose -9*m + 6*m = -17*m - 11*m. Let i(r) be the third derivative of 0 + 0*r**5 + m*r + 1/399*r**7 - 21*r**2 + 0*r**4 + 0*r**3 - 1/570*r**6. Factor i(b).
2*b**3*(5*b - 2)/19
Determine h, given that 50/11*h**2 + 280/11 - 6/11*h**3 + 456/11*h = 0.
-5, -2/3, 14
Let z(h) be the second derivative of h**5/30 - 17*h**4/18 - 158*h**3/9 - 80*h**2 + 2558*h. Suppose z(i) = 0. What is i?
-5, -2, 24
Let n(d) = -4*d**2 + 2*d. Let k(u) = u**2 + 1. Suppose 3*c + 6 = 0, -4*x + x + 177 = 3*c. Let q = x - 55. Let g(v) = q*k(v) + 2*n(v). Let g(y) = 0. What is y?
-1, 3
Suppose 0 = 6*w - 2667 - 27. Let o = w - 449. Solve o*c**2 + 1/6*c**3 + 1/3*c**4 + 1/6*c**5 + 0*c + 0 = 0 for c.
-1, 0
Let c(d) be the second derivative of -112*d - 2/9*d**2 - 1/90*d**5 + 0*d**4 + 1/9*d**3 + 0. Factor c(n).
-2*(n - 1)**2*(n + 2)/9
Let y(q) = -57*q**4 + 1094*q**3 - 1065*q**2 + 7*q. Let t(p) = -40*p**4 + 730*p**3 - 710*p**2 + 5*p. Let x(r) = -7*t(r) + 5*y(r). Factor x(f).
-5*f**2*(f - 71)*(f - 1)
Let y(k) = -13*k**4 + 6*k**4 + 11*k**4 - 4*k**3. Let l be (-1 + 2)*(-8)/4. Let u(q) = -q**4 + q**3. Let o(h) = l*u(h) - y(h). Let o(f) = 0. What is f?
0, 1
Let n be 8/(-6)*46/(-23184). Let p(q) be the second derivative of -1/54*q**3 - 2/135*q**6 + 18*q - 1/27*q**4 - n*q**7 + 0 + 0*q**2 - 1/30*q**5. Factor p(x).
-x*(x + 1)**4/9
Let j = -215479 - -215483. Find w such that -14/3*w**3 + 4/3*w**2 - 64 + 2/3*w**j + 128/3*w = 0.
-3, 2, 4
Let s = 59/2 + -29. Suppose 14 + 9 = 182*t - 172*t + 3. Let 0*g + 7/4*g**3 - s*g**t - 5/4*g**4 + 0 = 0. What is g?
0, 2/5, 1
Let g(a) be the second derivative of 1/4*a**4 + 54 + 2/3*a**2 - 2*a + 11/60*a**5 - 4/3*a**3. Factor g(j).
(j - 1)*(j + 2)*(11*j - 2)/3
Let x(u) be the second derivative of 1/4*u**4 - 3/20*u**5 - 99*u + 0 + 5/2*u**3 + 9/2*u**2. Factor x(b).
-3*(b - 3)*(b + 1)**2
Let c(v) be the second derivative of -v**5/60 + 17*v**4/12 - 77*v**2 - 198*v. Let u(j) be the first derivative of c(j). Factor u(y).
-y*(y - 34)
Let q(k) be the first derivative of -5*k**6/6 - 11*k**5 + 10*k**4 + 980*k**3/3 - 1120*k**2 + 1280*k + 391. Find s, given that q(s) = 0.
-8, 1, 2
Let f(o) be the first derivative of 121 + 0*o + 0*o**3 + 7/4*o**4 + 0*o**2 - 1/10*o**5. Factor f(p).
-p**3*(p - 14)/2
Let r = 241 + -239. Factor 16*u - 8 + 10*u**r - 8*u**2 - 16*u.
2*(u - 2)*(u + 2)
Suppose -8502 = t - z - 8489, -z + 22 = 2*t. Let 1836/7*n**2 - 536/7*n**t - 2/7*n**5 + 8*n**4 - 486/7*n - 2916/7 = 0. What is n?
-1, 2, 9
Suppose -11*f = -1600 - 39. What is a in 3*a**2 + 141 - 281 + f - 12*a = 0?
1, 3
Let c = -1074 - 3211. Let u = c + 21553/5. Let -32/5*f + u*f**2 + 2/5 = 0. Calculate f.
1/8
Let l(c) be the third derivative of c**5/60 - 545*c**4/12 + 297025*c**3/6 - 54*c**2 + 1. Factor l(d).
(d - 545)**2
Factor 15*k - 6*k**3 + 16*k - 22*k**2 + 8*k**3 + 160 - 3*k + 0*k.
2*(k - 8)*(k - 5)*(k + 2)
Let u(n) be the first derivative of n**5/30 - 13*n**4/8 + 245*n**3/9 - 176*n**2 + 1280*n/3 + 465. Factor u(k).
(k - 16)**2*(k - 5)*(k - 2)/6
Let o(a) be the third derivative of a**7/280 - 31*a**6/80 + 233*a**5/80 - 13*a**4/8 - 87*a**3/2 - 2640*a**2. Find k such that o(k) = 0.
-1, 2, 3, 58
Factor -1215/2 + 621*n - 21*n**3 + 3/2*n**4 + 6*n**2.
3*(n - 9)**2*(n - 1)*(n + 5)/2
Let o = 2503 + -2483. Let a(w) be the third derivative of -o*w**2 + 1/5*w**4 + 0*w**3 - 2/525*w**7 + 0 - 13/75*w**5 + 0*w + 4/75*w**6. Factor a(q).
-4*q*(q - 6)*(q - 1)**2/5
Let x(b) be the second derivative of -1280*b**5 - 14560*b**4/3 - 7282*b**3/3 - 484*b**2 + 3276*b. Factor x(n).
-4*(n + 2)*(80*n + 11)**2
Let j(y) = -1929171*y**2 + 2793*y - 1. Let d(w) = -30*w**2 - 3*w. Let p(b) = 5*d(b) + j(b). Solve p(g) = 0 for g.
1/1389
Let g(v) be the first derivative of -v**4/6 - 4*v**3/9 + 32*v**2/3 + 64*v + 2020. Factor g(w).
-2*(w - 6)*(w + 4)**2/3
Let s = 1304 + -1302. Let v(q) be the second derivative of 1/2*q**3 + 0*q**s - 9/8*q**4 - 14*q + 21/40*q**5 + 0. Find k such that v(k) = 0.
0, 2/7, 1
Let z(t) be the first derivative of -t**3/9 - 4*t**2/3 + 1639. Factor z(p).
-p*(p + 8)/3
Let w be 0*(1/(-17))/((-34)/(-289)). Solve -3/4*s**5 - 9/4*s**3 - 15/4*s**4 + 15/4*s**2 + w + 3*s = 0 for s.
-4, -1, 0, 1
Suppose -4*z - 28 = 4*p, -8*z + p + 32 = 25. Let l(c) be the first derivative of 4*c**2 - 10/3*c**3 + 1/2*c**4 + z*c + 2. Let l(h) = 0. Calculate h.
0, 1, 4
Let q(t) be the first derivative of -t**7/700 + t**6/1350 - t**3 + 3*t**2/2 - 7. Let l(b) be the third derivative of q(b). Factor l(r).
-2*r**2*(9*r - 2)/15
Let v(y) be the third derivative of -y**6/72 + 55*y**5/18 - 15125*y**4/72 + 1106*y**2. Suppose v(t) = 0. Calculate t.
0, 55
Let i(w) be the