44. Let j be ((-17)/(-68))/(d/(-12)). Determine m, given that m**j + m**2 + 4 + 1 - 6 - m = 0.
-1, 1
Let w(g) = 8*g**3 + 62*g**2 - 26*g. Let l(m) = 3*m**3 - m**2. Let n(o) = l(o) - w(o). What is p in n(p) = 0?
-13, 0, 2/5
Let b be 34629/(-24480) + 4/6. Let c = 5/96 - b. Determine l so that 8/5*l**3 + 4/5*l**4 - 2/5*l**5 + 0 - c*l**2 - 6/5*l = 0.
-1, 0, 1, 3
Determine u, given that -u**3 + 138 + 14 - 174*u - 50*u + 5*u**3 + 70*u**2 - 2*u**3 = 0.
-38, 1, 2
Let w = -107689/2 - -53847. Factor -1/2*h**3 + w*h**2 + 1/2*h - 5/2.
-(h - 5)*(h - 1)*(h + 1)/2
Let j(m) be the third derivative of 1/3*m**3 - 1 + 0*m + 1/360*m**5 - 25*m**2 + 7/144*m**4. Factor j(a).
(a + 3)*(a + 4)/6
Let q = 1701482 + -1701480. Factor 12*o + 132/5 - 3/5*o**q.
-3*(o - 22)*(o + 2)/5
Let o(g) be the first derivative of -g**4 - 2*g + 4/5*g**5 - 169 - 2/3*g**3 - 1/6*g**6 + 5/2*g**2. Let o(x) = 0. Calculate x.
-1, 1, 2
Let m(g) = -2*g**3 + 21*g**2 + 13*g + 28. Let v be m(11). Factor -13*n**2 - 32*n**2 - v*n + 40*n**2 - 120.
-5*(n + 4)*(n + 6)
Let c(h) = h**3 + 15*h**2 - 34*h - 8. Let j(z) = -z**3 - 19*z**2 + 35*z + 10. Let d(w) = 5*c(w) + 4*j(w). Let x be d(6). Solve 10/3*k**2 + 4/3*k + x = 0 for k.
-2/5, 0
Suppose 0 = 3*w - 2*l, -3*w - 3*l + 6*l = 3. Determine n, given that 145*n**w - 85*n**3 - 3*n + 88*n - 14*n**4 - 150 + 19*n**4 = 0.
-1, 1, 2, 15
Let g(j) = j**3 - 2*j. Let k be 20*((-58)/8 - -7). Let u(d) = 15*d**3 - 16*d**2 - 18*d. Let v(h) = k*g(h) + u(h). Let v(c) = 0. What is c?
-2/5, 0, 2
Let m = -519623/28 - -74233/4. Suppose -2/7*s + m*s**2 + 0 = 0. What is s?
0, 1
Let r(k) = -k**3 + 360*k**2 + 733*k + 377. Let l(g) = -g**2 + 2. Let j(c) = 10*l(c) - 2*r(c). What is h in j(h) = 0?
-1, 367
Let y(a) be the first derivative of -5*a**3/3 - 2055*a**2/2 - 2050*a - 327. Factor y(k).
-5*(k + 1)*(k + 410)
Suppose b = 4*b + 4*d - 16, 2*d - 8 = -2*b. Suppose -4 - 8*v + 9 + 7 + b*v**2 - 4*v**2 = 0. What is v?
-3, 1
Let m(d) be the third derivative of -d**5/390 - 17*d**4/78 + 37*d**3/13 - 1566*d**2 + d. Factor m(v).
-2*(v - 3)*(v + 37)/13
Let y(s) be the first derivative of -s**3/3 + 39*s**2 + 595*s - 1008. Factor y(x).
-(x - 85)*(x + 7)
Let l(h) be the second derivative of h**5/50 + 7*h**4/2 + 901*h**3/5 - 2809*h**2/5 + h - 1638. Factor l(c).
2*(c - 1)*(c + 53)**2/5
Let d(a) be the third derivative of -13*a**6/24 - 7*a**5/12 + 20*a**4/3 - 10*a**3 - a**2 - 318*a - 10. Determine k so that d(k) = 0.
-2, 6/13, 1
Let k = 182367/40534 - -18/20267. Factor k - 12*f + 7/2*f**2.
(f - 3)*(7*f - 3)/2
Let x = -12315 + 12332. Let z(k) be the third derivative of 0 - x*k**2 + 1/8*k**4 + 1/120*k**6 - 1/15*k**5 + 0*k**3 + 0*k. What is r in z(r) = 0?
0, 1, 3
Let t(k) = -k**2 + k + 3. Let d(j) = j**2 + 814*j + 190. Let l(w) = d(w) + 5*t(w). Factor l(p).
-(p - 205)*(4*p + 1)
Let d be (-1404)/7488 - (-2 + 2/160). Factor -d*n + 3/5*n**4 + 21/5*n**2 + 0 - 3*n**3.
3*n*(n - 3)*(n - 1)**2/5
Solve -1/9*n**3 + 139*n**2 + 1252/9*n + 0 = 0 for n.
-1, 0, 1252
Let a = 51 + -46. Suppose -c = a*t - 7, 2*t - t = -3*c + 7. Find m such that 4*m**2 + 707*m - 713*m - m**c = 0.
0, 2
Suppose -15648/7*h - 4074*h**4 + 1536/7 + 51192/7*h**2 - 6564*h**3 + 1323*h**5 = 0. What is h?
-16/9, 2/7, 4
Let a(b) be the third derivative of b**7/630 - b**6/36 - 35*b**4/24 + 3*b**2 + 43*b. Let g(u) be the second derivative of a(u). Factor g(i).
4*i*(i - 5)
Let r be (-18)/(-216)*14402*(8/(-10))/(-1). Factor 1000/3 + 2960/3*i + r*i**2 - 194/15*i**4 + 2/15*i**5 + 4406/15*i**3.
2*(i - 50)**2*(i + 1)**3/15
Let m(q) be the first derivative of q**4/20 - 61*q**3/15 + 96*q**2 - 180*q + 211. Let m(k) = 0. Calculate k.
1, 30
Let c(h) be the first derivative of -882*h - 42*h**2 - 2/3*h**3 - 30. Factor c(q).
-2*(q + 21)**2
Let f**3 - 210*f + 288618*f**2 - 73*f - 288109*f**2 - 227*f = 0. Calculate f.
-510, 0, 1
Let h = 102474566/960699 + -2/320233. What is y in -256/3 + 116*y**2 + h*y - 2*y**5 - 92/3*y**4 - 314/3*y**3 = 0?
-8, -1, 2/3, 1
Factor -186*l**3 + 199*l**3 + 7*l**5 + 24*l**2 + 2*l**4 - 6*l**5 - 4*l**4 - 8*l**4.
l**2*(l - 8)*(l - 3)*(l + 1)
Let u be (-2106)/648*32/(-52). Find r, given that 11/6 + 5/3*r - 1/6*r**u = 0.
-1, 11
Let q(j) be the third derivative of j**6/24 + 17*j**5/60 - 191*j**4/6 - 154*j**3/3 - 2072*j**2. Solve q(d) = 0.
-14, -2/5, 11
Let b(r) = 14*r**2 - r + 1. Suppose -22*y - 6 = -28*y. Let g be b(y). Let 44*d - 2*d**2 - g*d - 14*d - 14*d = 0. What is d?
0, 1
Let v(u) = -175*u**2 - 14095*u. Let j(o) = -11*o**2 - 881*o. Let m(y) = -95*j(y) + 6*v(y). Factor m(c).
-5*c*(c + 175)
Let s be (1800/165)/(-10) + 312/44. Factor -1/2*d**3 + 5*d**2 + 23/2*d + s.
-(d - 12)*(d + 1)**2/2
Suppose 0 = 13*j - 9*j - 9*j + 70. Let x(a) be the second derivative of 3/5*a**2 + 0 - 4/15*a**3 - j*a + 1/30*a**4. Factor x(w).
2*(w - 3)*(w - 1)/5
Let w be (-53 - -7) + 16368/352. Let 8 - w*l**2 + 1/4*l**3 - 4*l = 0. What is l?
-4, 2, 4
Let n(k) be the first derivative of -4*k**5/5 - 10*k**4 + 4*k**3/3 + 20*k**2 + 2066. Factor n(v).
-4*v*(v - 1)*(v + 1)*(v + 10)
Factor 6/5*m**3 + 96/5*m + 0 + 68/5*m**2 - 2/5*m**4.
-2*m*(m - 8)*(m + 2)*(m + 3)/5
Factor -9*i**2 + 64*i - 9*i**3 - 84 - 2*i**3 + 3*i**3 + 5*i**3 + 2*i**3.
-(i - 3)*(i - 2)*(i + 14)
Factor 0 - 9/4*x - 3/4*x**2 + 9/4*x**3 + 3/4*x**4.
3*x*(x - 1)*(x + 1)*(x + 3)/4
Let x(h) be the first derivative of h**6/18 - 3*h**5 + 10*h**4/3 + 20*h**3 - 88*h**2/3 - 905. Suppose x(t) = 0. Calculate t.
-2, 0, 1, 2, 44
Let w(s) be the first derivative of 15*s + 25 + s**3 - 9/5*s**5 + 3/4*s**4 + 7/10*s**6 + 0*s**2. Let l(h) be the first derivative of w(h). Factor l(m).
3*m*(m - 1)**2*(7*m + 2)
Let t(d) be the third derivative of -d**5/15 + 61*d**4/3 - 284*d**2. Factor t(g).
-4*g*(g - 122)
Let l = -1 + 7. Suppose 0 = -3*b - l, 0*b - 12 = -4*g - 2*b. Solve -g*r**2 - 4 - 7*r + 12*r - 13*r = 0 for r.
-1
Let a be ((4/(-10))/((-92)/115))/(153/136). Factor -10/9*l**3 - a*l**2 + 0 + 14/9*l**4 + 0*l.
2*l**2*(l - 1)*(7*l + 2)/9
Let d(k) be the second derivative of k**5/20 + 13*k**4/12 + 16*k**3/3 + 10*k**2 + 372*k. Let d(n) = 0. Calculate n.
-10, -2, -1
Suppose -4*s = 2*g - 22, -2*s = -5*s + 2*g + 6. Determine d so that 0*d + 0 + 3/4*d**s + 1/4*d**5 + 0*d**2 + 1/2*d**3 = 0.
-2, -1, 0
Suppose 163*f - 3*w = 166*f - 15, -4*w + 20 = 2*f. Suppose -8/3*g**3 + 20*g**4 + 0*g**2 + 0 + f*g - 28/3*g**5 = 0. Calculate g.
0, 1/7, 2
Determine y, given that 462 + 5*y**2 + 2*y**2 - 6480*y**3 - 500*y - y**2 + 29*y + 6483*y**3 = 0.
-14, 1, 11
Let s(x) be the second derivative of x**4/36 - 646*x**3/9 - 28*x + 25. Find z, given that s(z) = 0.
0, 1292
Suppose -5*r - 75 = -2*p + 126, 2*p = -4*r - 168. Let z = r + 43. Find x, given that -48*x**3 + 5*x**z + 3*x**2 + 24*x**3 + 12*x + 20*x**3 = 0.
-1, 0, 3
Suppose -2*i + 3*h - 72 = 1, 4*i - 4*h + 156 = 0. Let k = i + 49. What is o in -16*o - 14*o**2 - k*o**2 - 8*o**4 + 36*o**3 + 7*o**2 = 0?
-1/2, 0, 1, 4
Let g be 38/(-1710) + (-56)/(-2520). Find p, given that 14/3*p**3 + 0*p + g - 2/9*p**4 - 40/9*p**2 = 0.
0, 1, 20
Let 14/3*u**3 + 0 + 88/3*u**2 + 1/3*u**5 + 0*u - 13/3*u**4 = 0. What is u?
-2, 0, 4, 11
Let q(z) = 31 - 30 - 40 - 35*z - 7 - 4*z**2. Let h(f) = 6*f**2 + 53*f + 68. Let o(t) = -5*h(t) - 7*q(t). Factor o(r).
-2*(r + 1)*(r + 9)
Let y(o) be the third derivative of -17 + 0*o - 4/15*o**3 - 1/900*o**6 + 0*o**5 + 13/180*o**4 + o**2. Factor y(w).
-2*(w - 3)*(w - 1)*(w + 4)/15
Let u(v) be the third derivative of -v**6/30 - 394*v**5/15 + 395*v**4/6 + 3239*v**2 + 2*v. Determine k, given that u(k) = 0.
-395, 0, 1
Let f(g) be the third derivative of g**5/12 + 415*g**4/24 - 425*g**3/3 - 4591*g**2. Determine s so that f(s) = 0.
-85, 2
Let a = -339 - -389. Suppose 4*d = 2*c - 12, -d = 4*c + 44 - a. Factor 1 + 7/3*t + 1/3*t**3 + 5/3*t**c.
(t + 1)**2*(t + 3)/3
Let v be 3/138*(-11914)/(-1036). Find w such that -w**2 - v*w**3 + 4 + w = 0.
-4, -2, 2
Factor -919*n**4 + n**2 + 6*n - 919*n**4 - 6*n**3 + 1837*n**4.
-n*(n - 1)*(n + 1)*(n + 6)
Suppose -37 = 10*b - 6*b + 5*h, -b = 5*h + 28. Let r be 14/((5 + -15)/(b + 1)). Factor 2/5*u**4 + 4/5 - r*u + 18/5*u**2 - 2*u**3.
2*(u - 2)*(u - 1)**3/5
Let x(r) be the third derivative of -r**6/320 + 11*r**5/20 + 23*r**4/4 - 5*r**2 - 394. Factor x(f).
-3*f*(f - 92)*(f + 4)/8
Suppose 0 = 2*a + u - 3, 0 = -3*u - 0*u - 9. Factor 102*j + 106 - 21*j - a*j**3 + 36*j**2 - 64.
-3*(j - 