+ 5 + 7. Determine m, given that 0*m + 4/3*m**3 + 4/9*m**5 - 4/3*m**4 + c - 4/9*m**2 = 0.
0, 1
Let o(b) be the third derivative of 0 - 2*b**3 + 0*b - 93*b**2 + 1/12*b**4 + 7/30*b**5. Determine n, given that o(n) = 0.
-1, 6/7
Suppose -6620*z = -6550*z. Factor 0 + 0*o**4 + 1/4*o**5 + z*o + 3/2*o**2 - 7/4*o**3.
o**2*(o - 2)*(o - 1)*(o + 3)/4
Solve 800/7*z + 2/7*z**2 - 802/7 = 0.
-401, 1
Let y(s) = s**2 - 2*s - 1. Suppose -48 = -2*j - 52. Let q(k) = -3*k**2 - 15*k - 16. Let b(x) = j*y(x) - q(x). Factor b(n).
(n + 1)*(n + 18)
Let d be (3 - (6 + 6))*4/(-12). What is b in 28 + 988*b**3 + 20*b**2 - 46*b - 1976*b**d + 986*b**3 = 0?
1, 2, 7
Let m(r) be the third derivative of r**8/1344 + r**7/480 + r**6/720 - 115*r**3/6 - 209*r**2. Let a(b) be the first derivative of m(b). Factor a(f).
f**2*(f + 1)*(5*f + 2)/4
Let l(p) = 14*p - 19. Let k be l(2). Solve d + 2 - k*d**3 - d**4 + 3*d + 22 + 0*d - 18*d**2 = 0.
-6, -2, 1
Suppose 4*g - 1 = r, -8*r + 10*r = -g - 11. Let o(d) = 9*d**3 + 5*d**2 + d - 5. Let w(f) = -f**3 - f**2 - f + 1. Let t(a) = g*o(a) - 5*w(a). Solve t(n) = 0.
-1, 0, 1
Determine y, given that -7482/5*y**2 - 291/5*y - 4146*y**3 - 20163/5*y**4 - 6627/5*y**5 - 3/5 = 0.
-1, -1/47
Factor -284862 - 603*s**2 - 617427 + 24210*s - 291*s**3 + 16191*s + 294*s**3.
3*(s - 67)**3
Find r, given that 96/7 - 16/7*r - 2/7*r**2 = 0.
-12, 4
Suppose 0*n - 72 = -3*n - i, -2*i = -n + 24. Suppose -u**2 - 2*u**2 + 26*u**3 - 51*u**3 + n*u**3 = 0. Calculate u.
-3, 0
Let h be -4*(-7)/(-126) - 38/(-90). Let m(n) be the second derivative of 0 - 16*n - h*n**4 - 16/15*n**3 - 8/5*n**2. What is a in m(a) = 0?
-2, -2/3
Let g(h) = -3*h**3 + 3930*h**2 + 16101*h + 11502. Let a(j) = -j**3 + 1123*j**2 + 4600*j + 3291. Let x(u) = -18*a(u) + 5*g(u). Suppose x(m) = 0. What is m?
-3, -1, 192
Let 3/5*n**5 - 192/5*n + 93/5*n**3 - 57/5*n**4 + 33*n**2 - 204/5 = 0. What is n?
-1, 2, 17
Suppose 0 = 142*t - 126*t - 27920. Let u = t + -1743. Factor 10/11 - 2/11*g**u + 8/11*g.
-2*(g - 5)*(g + 1)/11
What is v in 1/4*v**4 + 40611/2*v**2 - 40186*v + 80089/4 - 142*v**3 = 0?
1, 283
Let c(d) = 5*d**4 - 27*d**3 - 67*d**2 + 35*d + 62. Let g(l) = -9*l**4 + 55*l**3 + 134*l**2 - 69*l - 125. Let s(r) = 7*c(r) + 4*g(r). Solve s(b) = 0.
-2, -1, 1, 33
Let f(v) be the first derivative of -v**6/8 + 9*v**5/20 + 135*v**4/16 - 275*v**3/4 + 387*v**2/2 - 216*v + 2334. Let f(y) = 0. What is y?
-8, 1, 3, 4
Suppose -4*o - 14309 + 14337 = -5*r, 4*o - 12 = r. Factor -2/15*q**3 - 2/15*q**5 + 0 + 0*q**o + 0*q + 4/15*q**4.
-2*q**3*(q - 1)**2/15
Let b(d) be the third derivative of -2*d**7/3 - 103*d**6/15 - 161*d**5/15 - 5*d**4 + 73*d**2 - 5. Let b(r) = 0. What is r?
-5, -3/5, -2/7, 0
Factor -4*r**2 - 16/7*r**3 + 40/7*r + 4/7*r**4 + 0.
4*r*(r - 5)*(r - 1)*(r + 2)/7
Find w, given that 26*w - 261 - 164 + 36*w + 317 + 3*w**2 - 14*w = 0.
-18, 2
Suppose 4*v + 2*d + 2 = 0, -v - 3*d - 3 - 5 = 0. Let z be -4 - -3 - (18/(-57) - v). Determine q, given that 2/19*q**2 + 4/19 + z*q = 0.
-2, -1
Let d(j) = 2*j - 24. Let l be d(13). Suppose 2 = -k - l, 2*k + 12 = n. Factor 5*h + 3 - 9 - 3*h**3 + 8*h - n*h.
-3*(h - 1)**2*(h + 2)
Suppose -38 = -34*d + 30. Let c be (-174)/(-145)*d/4. Find f such that 0 + c*f**3 - 6/5*f + 3/5*f**2 = 0.
-2, 0, 1
Let h be (-417)/(-24) + -5 + (-9)/24. Suppose 16 - h*a - 1958*a**3 + 1959*a**3 + 3*a**2 - 3*a**2 = 0. Calculate a.
-4, 2
Let t = -7417 + 7438. Let u(f) be the third derivative of 0*f + t*f**2 + 1/210*f**5 + 0 - 1/21*f**4 + 1/7*f**3. Let u(g) = 0. What is g?
1, 3
Let n = -98 - -100. Determine u, given that -3*u**2 - 131*u + 121*u - 2*u**n = 0.
-2, 0
Let g = -6 + 10. Let q = 47 + -7. Suppose 36*m**2 + 3*m**g + m**4 - 4*m**5 - q*m**2 + 4*m**3 = 0. What is m?
-1, 0, 1
Suppose -4*k = z - 22, 2*k - 2 = 3*z + z. Suppose -z*t + 18 = -12. Determine s, given that -31 + 25*s**2 - 36 - t*s + 16 + 6 - 5*s**3 = 0.
-1, 3
Suppose 6*o**2 - 24 + 85580*o - 85638*o - 49*o**2 - 8*o**3 + o**4 = 0. Calculate o.
-2, -1, 12
Factor 674/7*x - 2004/7 - 2/7*x**2.
-2*(x - 334)*(x - 3)/7
Let l(p) be the third derivative of 109*p**6 + 72*p**3 + 2*p + 1089/70*p**7 + 1174/5*p**5 + 81/112*p**8 + 15*p**2 + 0 + 186*p**4. Let l(y) = 0. What is y?
-6, -1, -2/9
Find j, given that -210 - 3950*j - 5*j**2 + 1916*j + 1969*j = 0.
-7, -6
Find f, given that -2/3*f**2 - 682 + 2048/3*f = 0.
1, 1023
Let z be 10/12 - ((-1055)/30 - -1). Factor 3*c**4 - 40*c**3 - 1217 + z*c**2 + 2*c**4 + 1217.
5*c**2*(c - 7)*(c - 1)
Suppose 12 = 3*s - 5*z, -3*s + 20 = 2*s + 5*z. Suppose 20 = -s*f + 9*f. Factor 2*v**f + 87*v**3 - 93*v**3 - 8*v**2 + 4 - 4.
2*v**2*(v - 4)*(v + 1)
Let h(t) be the third derivative of -t**7/525 - t**6/100 + t**5/50 + 7*t**4/60 - 2*t**3/5 - t**2 + 140*t. Let h(g) = 0. Calculate g.
-3, -2, 1
Factor -514*p + 8*p**2 + 109*p - 104 - 279*p + 444.
4*(p - 85)*(2*p - 1)
Let n be (-140)/441*(63/(-2) + 14). Determine p, given that 20/9*p**2 + 0 + n*p + 2/9*p**3 = 0.
-5, 0
Determine a so that 0 - 2/11*a**2 + 768/11*a = 0.
0, 384
Let n(r) be the second derivative of -1/21*r**7 + 1/2*r**5 + 0 - 4/3*r**3 + 11*r - 5/2*r**4 + 1/5*r**6 + 12*r**2. What is h in n(h) = 0?
-2, -1, 1, 2, 3
Let m be (-57)/(-380) + (-1175)/(-188). Factor 4/5*p**2 - 28/5*p - m.
4*(p - 8)*(p + 1)/5
Let v be (-342)/99 + 4 - 4/88*-32. Let f(k) be the second derivative of 0*k**3 + 37*k + 0 - 8*k**v + 1/3*k**4. Factor f(t).
4*(t - 2)*(t + 2)
Let w be (-124)/(-16) - (-39)/156. Suppose -3*c - w = -14. Solve 7/6*v - 1/6*v**c + 0 = 0 for v.
0, 7
Let q(n) = n**2 - 138*n + 1590. Let r(u) = -u**2 + 68*u - 810. Let m(s) = -3*q(s) - 5*r(s). Factor m(w).
2*(w - 8)*(w + 45)
Determine t so that -72/5 + 26/5*t**2 + 9*t + 1/5*t**3 = 0.
-24, -3, 1
Let h(r) = -7*r**2 + 0 - 5*r + 0 - 4. Suppose 55 - 99 = 12*d - 68. Let v(j) = -j**2 + j - 1. Let l(w) = d*v(w) - h(w). Factor l(n).
(n + 1)*(5*n + 2)
Let a(j) be the first derivative of -j**5/120 - j**4/24 - j**3/12 - 20*j**2 - 2*j - 221. Let w(n) be the second derivative of a(n). Suppose w(s) = 0. What is s?
-1
Let k(r) be the first derivative of r**4/4 - 40*r**3 + 1536*r**2 + 32768*r + 4486. Factor k(t).
(t - 64)**2*(t + 8)
Let x(o) be the first derivative of o**4/14 - 920*o**3/7 + 634800*o**2/7 - 194672000*o/7 + 2433. Factor x(q).
2*(q - 460)**3/7
Let k = 561 + -549. Find x, given that x**2 - k*x - 16*x + 39*x + 2*x**2 - 29*x = 0.
0, 6
Suppose -652864/5 - 3232/5*l - 4/5*l**2 = 0. What is l?
-404
Factor -98/5*v + 57 + 1/5*v**2.
(v - 95)*(v - 3)/5
Let o = -307 + 311. Factor 7*d**3 + 991*d - 360*d**2 + 4*d**4 - 1485 - 4*d**o + 5*d**4 + 3*d**3 + 359*d.
5*(d - 3)**3*(d + 11)
Let u(y) = -y**2 - 8*y - 9. Let h be u(-6). Let x(p) = -6*p + 2. Let s be x(-3). Factor 4*i - s*i**2 + 71 + 70 - 137 + 12*i**h.
4*(i - 1)**2*(3*i + 1)
Let s(n) be the third derivative of 4/45*n**5 - 9*n**2 + 0*n**3 + 7/36*n**4 - 1/30*n**6 + 0 - 8/315*n**7 - 3*n - 1/504*n**8. Let s(j) = 0. Calculate j.
-7, -1, 0, 1
Let i be 1/((-4)/8) - -7. Let l(j) be the first derivative of -26*j + 3*j**2 + 20 - 2*j**3 + 23*j + i*j**3. Let l(c) = 0. Calculate c.
-1, 1/3
Let q(c) = 2*c**5 - 2*c + 1. Let b(o) = -28*o**5 + 22*o**4 + 36*o - 18. Let t(u) = -2*b(u) - 36*q(u). Factor t(x).
-4*x**4*(4*x + 11)
Let p be -51 + 71 + (-2)/(-6) - -5. Factor -40/3*b + p + 1/3*b**2.
(b - 38)*(b - 2)/3
Factor 4/3*c**3 + 16/3*c**2 - 76/9*c + 10/3 - 14/9*c**4.
-2*(c - 1)**3*(7*c + 15)/9
Let s(a) be the third derivative of -5*a**8/84 - 64*a**7/105 + 21*a**6/10 - 2*a**5/3 - 8*a**4/3 + 4*a**2 - 7*a - 142. Solve s(p) = 0 for p.
-8, -2/5, 0, 1
Let z(v) = -v**3 - 2*v**2 + 6*v - 3. Let l(x) = 282*x + 272*x - 2 - 549*x - x**3 - 2*x**2. Let m(f) = -3*l(f) + 2*z(f). Let m(w) = 0. What is w?
-3, 0, 1
Let o(u) be the second derivative of 11*u**6/10 - 123*u**5/10 + 95*u**4/4 + 6*u**3 - 54*u**2 + 520*u. Determine s so that o(s) = 0.
-6/11, 1, 6
Suppose -20*z**2 + 23*z**3 + 4236 - 18*z**3 - 620*z - 5356 = 0. What is z?
-8, -2, 14
Factor -3/4*w**4 + 0*w - 4 - w**3 + 1/4*w**5 + 4*w**2.
(w - 2)**3*(w + 1)*(w + 2)/4
Let m(a) = 3*a**2 - 243*a + 6. Let t(y) = 3*y - 3. Let q(g) = m(g) + 2*t(g). What is h in q(h) = 0?
0, 79
Let u be ((-3522)/2935)/((-11)/5 + 1/(-5)). Factor 0 + u*v**2 - 3*v + 1/2*v**3.
v*(v - 2)*(v + 3)/2
Let q = -5695 - -3075301/540. Let b(a) be the third derivative of 1/27*a**4 - 1/270*a**5 + 0*a - q*a**6 - 17*a**2 + 0 + 4/27*a**3.