rivative of u**4/6 - 4192*u**3/3 + 4393216*u**2 + 2*u - 767. Determine p so that s(p) = 0.
2096
Let m = 31 - -3. Let g = m - 32. Find z, given that -8*z + 24*z**2 - 2*z**g - 5*z + 15*z - 24*z**3 = 0.
-1/12, 0, 1
Let p = 446 + -443. Let q(k) = 5*k**4 + 5*k**3 - 31*k**2 + 25*k + 2. Let j(l) = -7*l**4 - 5*l**3 + 30*l**2 - 24*l - 3. Let u(g) = p*q(g) + 2*j(g). Factor u(d).
d*(d - 3)*(d - 1)*(d + 9)
Suppose 12 = -3*i, 0*s + s + 2*i = 38. Suppose s = -5*n + 61. Find a such that -3*a - 169*a**3 + 18 - a**2 - 3*a**2 + 170*a**n = 0.
-2, 3
Let d = -43 - -20. Let p be 2/10*(-22 - d). Factor 1/5*n**3 + 0*n - p*n**2 + 0.
n**2*(n - 1)/5
Suppose -u = 2*i + 5, -i + 1 = 3. Let p(m) = m**2. Let l(g) = 0 - 2*g**2 + 4369*g + 0 - 8741*g + 4366*g. Let x(y) = u*l(y) - 4*p(y). Factor x(c).
-2*c*(c - 3)
Factor -4*o - 46297*o**2 + 46300*o**2 + o**3 + 5*o - 5*o.
o*(o - 1)*(o + 4)
Let x be (-68)/(-5 - -1) - 6 - 3339/318. What is a in -6 - 11/2*a + x*a**2 = 0?
-1, 12
Let a = -23/1869 + 129007/3738. Factor -a*k**2 + 0 + 0*k - 3/2*k**3.
-3*k**2*(k + 23)/2
Let z(q) be the third derivative of 322*q**2 - 3/2*q**4 - 7/50*q**5 - 1/200*q**6 + 0 + 0*q - 36/5*q**3. Find m, given that z(m) = 0.
-6, -2
Let s(z) = z**2 + 16*z + 9. Let d be s(-16). Factor -36*p + 17 - 2*p**2 - 8 - d.
-2*p*(p + 18)
Solve -2/13*l**3 + 66/13*l**2 - 60/13*l - 128/13 = 0.
-1, 2, 32
Let c(t) be the first derivative of -37 - 2/9*t**3 - 4*t**2 + 26/3*t. Factor c(f).
-2*(f - 1)*(f + 13)/3
Let o(q) = -2*q**2 + 12. Suppose 3*b = 5*m + 11 + 12, 0 = -b + 1. Let j(h) = h. Let f(x) = m*j(x) + 2*o(x). Solve f(u) = 0.
-3, 2
Let v(c) be the first derivative of 5*c**8/336 + c**7/14 - c**5/3 - 16*c**2 + 69. Let u(d) be the second derivative of v(d). Solve u(b) = 0.
-2, 0, 1
Let w(b) = 3*b**2 + 2*b + 1. Let p(k) = -27*k**2 - 560*k + 24290. Let t(z) = -p(z) - 10*w(z). Factor t(u).
-3*(u - 90)**2
Let d(h) = 2*h - 30. Let t be d(16). Determine l, given that -55*l**2 + 5*l - 5*l**4 + 27*l + 8*l - 15*l**t + 35*l**3 = 0.
0, 1, 2, 4
Let t(a) be the second derivative of a**6/120 - a**5/20 - 7*a**4/48 + 5*a**3/12 - 281*a - 2. Factor t(b).
b*(b - 5)*(b - 1)*(b + 2)/4
Factor 2/21*q**4 + 32/7*q**2 + 8/7*q**3 + 0 + 128/21*q.
2*q*(q + 4)**3/21
Let l(j) be the third derivative of j**5/90 - 121*j**4/18 + 14641*j**3/9 - 833*j**2. Factor l(n).
2*(n - 121)**2/3
Let d(n) = -5*n**2 + 256*n - 2376. Let r be d(39). Determine m so that 0*m**2 + 1/5*m**r - 7/5*m - 6/5 = 0.
-2, -1, 3
Let g(y) be the third derivative of -y**8/336 - 5*y**7/28 - 25*y**6/8 - 55*y**3/2 + 2*y**2 - 21. Let b(n) be the first derivative of g(n). Factor b(w).
-5*w**2*(w + 15)**2
Suppose 0 = -p - 862 + 878. Suppose -123*o - p = -127*o. Solve 0 + 2/7*w - 2/7*w**o - 2/7*w**3 + 2/7*w**2 = 0 for w.
-1, 0, 1
Let v(x) be the first derivative of -3*x**5/5 - 51*x**4 - 66*x**3 + 102*x**2 + 201*x - 1727. Factor v(i).
-3*(i - 1)*(i + 1)**2*(i + 67)
Let i(z) = -2*z**2 - 96*z - 100. Let x(j) be the third derivative of -j**5/15 - 12*j**4 - 50*j**3 - 5*j**2. Let a(m) = -8*i(m) + 3*x(m). Factor a(b).
4*(b - 25)*(b + 1)
Suppose 0 = -m - t + 493, 2*m - 3*t - t - 1016 = 0. Find s, given that -13*s**2 + 652 - m*s + 8*s**2 + 2*s**2 - 21319 = 0.
-83
Let p(a) = -17*a + 79. Let m be p(5). Let c be 4/(-12) + -4*m/36. Let 0 - c*d**5 - d**4 + 2/3*d - 1/3*d**3 + d**2 = 0. Calculate d.
-2, -1, 0, 1
Let a(v) = v**3 + v**2 - v + 3. Let o(k) = k**3 + 68*k**2 + 69*k - 6. Let c(i) = -2*a(i) - o(i). What is l in c(l) = 0?
-67/3, -1, 0
Let k = -359 + 357. Let g be (-6 - -14)/(-16)*(k + -2). Factor 9/2*o**g - 1/2*o - 1 + 13/2*o**3 + 5/2*o**4.
(o + 1)**3*(5*o - 2)/2
Suppose 241 + 272 = 321*y - 129. Determine d so that -8/5 + 3*d**5 - 7*d**y + 43/5*d**4 + 66/5*d - 81/5*d**3 = 0.
-4, -1, 2/15, 1
Let d be (-60)/(-100) + 1*77/55. Determine y so that 4*y**3 - y**5 - 6*y - 3/2*y**4 + 5/2*y**d + 2 = 0.
-2, 1/2, 1
Let u(h) be the third derivative of -5*h**8/336 + 17*h**7/21 - 13*h**6/24 - 391*h**5 - 7935*h**4/2 - 3352*h**2 - 2*h. Factor u(s).
-5*s*(s - 23)**2*(s + 6)**2
Let a(y) be the second derivative of -1/15*y**4 + 2/75*y**6 + 2/105*y**7 + 2 + 0*y**2 + 0*y**3 - 27*y - 1/25*y**5. Let a(u) = 0. What is u?
-1, 0, 1
Suppose x - 4 = -x. Let c(o) = -o**3 - 5*o**2 + 2. Let w be c(-5). Factor 9*t**x + 8*t + 9*t**2 - 14*t**w.
4*t*(t + 2)
Let a(k) be the first derivative of -18 - 3/2*k**3 - 21/8*k**2 + 0*k + 3/16*k**4. Factor a(n).
3*n*(n - 7)*(n + 1)/4
Let b(r) be the first derivative of -r**5/3 + 7*r**4 - 32*r**3/3 + 62*r**2 - 175. Let s(i) be the second derivative of b(i). Factor s(x).
-4*(x - 8)*(5*x - 2)
Let l(g) = -9*g**4 - 35*g**3 - 25*g**2 + 31*g + 26. Let b(x) = -8*x**4 - 35*x**3 - 25*x**2 + 32*x + 27. Let t(j) = -4*b(j) + 3*l(j). Let t(h) = 0. What is h?
-6, -1, 1
Suppose 5*d = 3*p - 79, -2546*d - 85 = -5*p - 2541*d. Factor 0 + 256/5*k - 64*k**2 + 68/5*k**p - 4/5*k**4.
-4*k*(k - 8)**2*(k - 1)/5
Let g = -487788 + 487790. Factor 1/3*f**3 + 2/3*f + 0 - f**g.
f*(f - 2)*(f - 1)/3
Let w(g) be the first derivative of g**6/48 + g**5/8 - 11*g**4/8 + 5*g**3/2 + 4661. Determine p, given that w(p) = 0.
-10, 0, 2, 3
Let -192 + 68/3*v**2 - 176*v + 7*v**3 + 1/3*v**4 = 0. Calculate v.
-12, -1, 4
Let y be (6/(-2) - (-16)/6)*(-18)/200. Let a(g) be the second derivative of -16*g + y*g**5 + 1/150*g**6 + 0*g**3 + 1/30*g**4 + 0 + 0*g**2. Factor a(x).
x**2*(x + 1)*(x + 2)/5
Let v(t) be the first derivative of t**7/1680 + t**6/360 - t**5/48 - t**4/8 + t**3 - 88. Let x(u) be the third derivative of v(u). Factor x(i).
(i - 2)*(i + 1)*(i + 3)/2
Let t = -435 + 405. Let g be ((-2)/(-75))/((-1)/t*6). Factor 2/15*v**2 + 2/15*v**3 - g - 2/15*v.
2*(v - 1)*(v + 1)**2/15
Let s(c) be the second derivative of -c**5/270 - c**4/12 - 14*c**3/27 - 22*c**2 + 77*c. Let x(l) be the first derivative of s(l). Factor x(y).
-2*(y + 2)*(y + 7)/9
Let f = 555 + -558. Let z(w) = 5*w**3 + 177*w**2 - 174*w. Let b(n) = -5*n**3 - 178*n**2 + 171*n. Let p(t) = f*z(t) - 2*b(t). Suppose p(y) = 0. Calculate y.
-36, 0, 1
Let q be -1*(8/112 - (-6)/(-1260)*85). Factor -q*r**4 + 0*r**3 + 0 + r**2 + 2/3*r.
-r*(r - 2)*(r + 1)**2/3
Let t(r) = -r**3 + 87*r**2 - 239*r - 1156. Let j(c) = -2*c**3 + 132*c**2 - 358*c - 1733. Let z(a) = -7*j(a) + 11*t(a). Factor z(q).
3*(q - 5)*(q + 3)*(q + 13)
Let c(o) be the first derivative of -7/2*o**2 + 1/3*o**3 - 13 + 6*o. What is w in c(w) = 0?
1, 6
Let z be (-3)/(-10)*22/55*5. Let k(n) be the first derivative of 5 + 4/5*n - z*n**2 - 7/10*n**4 - 8/5*n**3. Factor k(g).
-2*(g + 1)**2*(7*g - 2)/5
Let d(b) be the first derivative of -b**3/8 + 627*b**2/8 - 131043*b/8 + 29. Solve d(o) = 0.
209
Let 7391*c**2 - 7799*c**2 - 20*c**3 - 96*c + 456 - 412*c = 0. What is c?
-19, -2, 3/5
Let v(w) be the second derivative of w**6/60 + 19*w**5/80 + 67*w**4/48 + 13*w**3/3 + 15*w**2/2 + 6*w + 96. Factor v(z).
(z + 2)**2*(z + 3)*(2*z + 5)/4
Let g(l) = -10*l**4 + 36*l**3 + 122*l**2 - 36*l - 57. Let y(h) = h**4 - 5*h**2 - 1. Let m(j) = 2*g(j) + 22*y(j). Determine r so that m(r) = 0.
-34, -2, -1, 1
Let y(l) be the second derivative of 5*l**6/9 + 2*l**5/3 + l**4/4 - 73*l**2/2 - 32*l + 2. Let o(g) be the first derivative of y(g). Factor o(r).
2*r*(10*r + 3)**2/3
Let m(x) = -x**3 - 4*x**2 + 17*x + 28. Let u be m(-6). Let f be u/(-6) - 4/12. Find i such that f + 2/11*i**2 + 0*i = 0.
0
Let r(o) be the first derivative of -o**4/18 + 44*o**3/27 - 1838. Suppose r(x) = 0. Calculate x.
0, 22
Let x = 788 - 5526/7. Let l = x - -37/21. Suppose -2/3*k - l*k**4 + 1/3*k**2 - 1/3*k**5 + 0 + k**3 = 0. What is k?
-2, -1, 0, 1
Factor 5*o**5 + 400*o**3 - 260*o**3 + 30*o**2 + 40*o**4 - 75*o**3.
5*o**2*(o + 1)**2*(o + 6)
Suppose -4*b = -78 - 1330. Let -3032*x**2 + 105*x + 133*x - 70*x**3 - b + 1866*x = 0. What is x?
-44, 2/7, 2/5
Suppose 2*n + 2 = -4*d, -2*n + 5*d = -6*n + 5. Suppose 100*j**3 + 15*j**2 + 2*j**5 - 6*j + j**n - 109*j**3 - 3*j**4 = 0. What is j?
-2, 0, 1
Let p be 30/90*(1 - -197). Let o be (39/21)/((-35)/((-2695)/p)). Solve -1/6*f**5 - o*f - 3*f**3 - 1/2 - 7/6*f**4 - 11/3*f**2 = 0 for f.
-3, -1
Suppose 187*q - 186*q = 0, -5*q = 4*z. Let f be 3 + (-30)/12 - z. Let f - 4*l**2 - l**4 - 15/4*l**3 - 3/4*l = 0. What is l?
-2, -1, 1/4
Let o(q) be the third derivative of q**7/105 - q**6/4 - 73*q**5/30 - 19*q**4/4 + 275*q**2 + 2*q + 1. Factor o(j).
2*j*(j - 19)*(j + 1)*(j + 3)
Suppose -