 85*x(y). What is c in w(c) = 0?
612
Factor 856394958848 - 2288*j**3 + 3926208*j**2 + 1/2*j**4 - 2994387968*j.
(j - 1144)**4/2
Let x(m) be the first derivative of -25/2*m**4 - 42 - 320/3*m**3 + 25*m**5 - 80*m**2 + 0*m. Factor x(y).
5*y*(y - 2)*(5*y + 4)**2
Let y = 46/24759 + 24529/123795. Factor 0 + 16/5*x**2 - 64/5*x - y*x**3.
-x*(x - 8)**2/5
Let v be (-26)/(-442)*(-1556)/(-15). Let n = v - 88/15. Suppose 10/17*x - n + 104/17*x**2 = 0. Calculate x.
-1/4, 2/13
Let a(u) = -254*u + 4832. Let c be a(19). Factor 2/3*x - c*x**2 + 6 - 2/3*x**3.
-2*(x - 1)*(x + 1)*(x + 9)/3
What is s in 359*s + 191 - 61 - 5*s**4 + 355*s**3 + 74 + 166 + 1095*s**2 + 746*s = 0?
-1, 74
Let l = -162 + 108. Let f be 4 + l/15 + 10 + -10. Determine s, given that f*s - 2/5*s**3 + 4/5 - 4/5*s**2 = 0.
-2, -1, 1
Let r be (-2*(-1)/2)/((-4)/(-8)). Let v(t) be the third derivative of -28*t**r - 3/8*t**4 - 1/120*t**6 + 0*t**3 + 0*t + 1/10*t**5 + 0. Solve v(s) = 0.
0, 3
Let a be (10 + 4)/(48/15) - (-7)/(-1008)*54. Suppose 5/3*c - 1/6*c**2 - a = 0. What is c?
4, 6
Let i be ((-32)/(-25))/((-18)/(-135)). Let x be (-1 - (-3)/2)*(-4 + 12). Factor -42/5*h**3 + 6/5 - 27/5*h + 18/5*h**x + i*h**2 - 3/5*h**5.
-3*(h - 2)*(h - 1)**4/5
Suppose -35 = 57*o - 64*o. Let y be ((-36)/90)/((-7)/o). Solve -26/7*z**4 - 2*z**2 - 30/7*z**3 - 8/7*z**5 + 0 - y*z = 0.
-1, -1/4, 0
Let x(c) be the first derivative of -c**4/10 - 68*c**3/15 - 1449. Determine o so that x(o) = 0.
-34, 0
Suppose 0 = -20*w + 16*w + 636. Suppose 6*u - w = 321. Solve -u - 7*o**2 + 29*o - 229*o - 118*o**2 = 0 for o.
-4/5
Let f(c) = c**2 - 7*c**3 + c**2 + 9 + 5*c + 6*c - c. Let a be f(-5). Factor 3*z**2 + 0*z**3 - z**4 - 4 + 2*z**3 - 888*z + a*z.
-(z - 2)**2*(z + 1)**2
Suppose 4*m = -8, 5*c + m - 33 = 70. Let r be 126/10 - c/35. Let r + 30*t**2 - 24*t - 3*t**3 - 15*t**2 + 0*t**2 = 0. What is t?
1, 2
Let q be 24/(-6) - 1/((-75)/35 + 2). Let x(n) be the third derivative of -16/15*n**5 + 0*n + 4*n**4 - 6*n**q - 21*n**2 + 0. Find d such that x(d) = 0.
3/4
Let q(a) be the second derivative of -1/50*a**5 + 0*a**2 + 2/15*a**3 + 4*a + 3 - 1/30*a**4. Factor q(o).
-2*o*(o - 1)*(o + 2)/5
Suppose 2*g - 2*n = 14, -6*g + 2*g - 3*n = -14. Let u be (g - (-207)/(-42))/(1/2). Factor -2/7 - 1/7*h**3 + u*h + 2/7*h**2.
-(h - 2)*(h - 1)*(h + 1)/7
Factor 552/5*x**3 + 2/5*x**4 - 4826142/5 + 1453032/5*x + 10044*x**2.
2*(x - 3)*(x + 93)**3/5
Let k(a) be the third derivative of -a**5/480 - 35*a**4/192 - 19*a**3/3 - 1795*a**2. What is v in k(v) = 0?
-19, -16
Suppose 428*l - 989 - 298 = -673 + 1954. Determine i so that l + 3/2*i**2 + 18*i**3 - 18*i - 15/2*i**4 = 0.
-1, 2/5, 1, 2
Let p(u) be the first derivative of u**4/12 - u**3 + 9*u**2/2 - 58*u - 74. Let f(h) be the first derivative of p(h). Factor f(c).
(c - 3)**2
Suppose 15*x - 14620 = 5*x. Solve -256*a**2 - 216*a - 1 + 260*a**2 - x*a**2 - 7 = 0 for a.
-2/27
Suppose -5*d + 12 = -5*o - 43, -d + 6 = -2*o. Factor l**3 + 7*l**2 - l**2 + d*l + 7*l**2 - 3*l**2.
l*(l + 2)*(l + 8)
Let q(n) be the second derivative of 5*n**4/24 - 1585*n**3/12 + 1565*n**2 - 35*n - 8. Factor q(o).
5*(o - 313)*(o - 4)/2
Find l such that 8/21*l + 2/21*l**2 - 40/7 = 0.
-10, 6
Suppose 13*h + 179 = -276. Let t be 25/70 + (-5)/h. Suppose 0 + 1/4*u**2 + 0*u + t*u**3 + 1/4*u**4 = 0. Calculate u.
-1, 0
Let n = 97 + -93. Determine q so that -n*q**2 + 20*q - 13*q - 9*q + 32 - 6*q = 0.
-4, 2
Factor -3/2*m**4 + 9720 + 648*m**2 - 4536*m - 18*m**3.
-3*(m - 6)**3*(m + 30)/2
Let k(l) be the third derivative of 0*l**3 + 0 + 1/140*l**6 + 47*l**2 + 2/21*l**4 - 1/15*l**5 + 0*l. Factor k(h).
2*h*(h - 4)*(3*h - 2)/7
Let b(o) be the second derivative of o**5/10 + o**4 - o**3/3 - 30*o**2 - 4*o - 1. Suppose b(c) = 0. Calculate c.
-5, -3, 2
Suppose -i = 4*p + 11, -22*i + 21*i - 5 = 2*p. Let f(z) = 5*z**2 + 64*z + 892. Let h(k) = k**2 + k - 2. Let q(y) = i*f(y) - 4*h(y). Find r such that q(r) = 0.
-30
Let t(j) be the second derivative of -j**6/20 - 93*j**5/40 + 177*j**4/8 - 117*j**3/4 - 243*j**2 - 8893*j. Find k, given that t(k) = 0.
-36, -1, 3
Let g(f) be the first derivative of 5*f**4/4 + 105*f**3 - 5*f**2/2 - 315*f + 264. Find i, given that g(i) = 0.
-63, -1, 1
Factor 64/5*k - 2/5*k**2 - 512/5.
-2*(k - 16)**2/5
Let s(w) = -w**2 + 67*w - 418. Let r be s(7). Let x(i) be the first derivative of 1/2*i**r - 1/3*i**3 - 1/4*i**4 + 11 + i. Factor x(m).
-(m - 1)*(m + 1)**2
Let z(i) be the first derivative of 5*i**5/2 - 85*i**4/2 + 698*i**3/3 - 408*i**2 + 288*i - 1227. Determine n, given that z(n) = 0.
4/5, 6
Suppose 106*t - 138*t = -7200. Suppose 0 = 78*w - t - 9. Find q such that -3*q + 11/2*q**2 + 0 + 1/2*q**4 - 3*q**w = 0.
0, 1, 2, 3
Let q(m) be the first derivative of -3*m**4/16 - 71*m**3/4 - 459*m**2 + 972*m - 1013. Find o, given that q(o) = 0.
-36, 1
Let g(d) be the first derivative of d**5/270 - 19*d**4/108 + 3*d**2/2 + 23*d + 43. Let x(i) be the second derivative of g(i). Factor x(q).
2*q*(q - 19)/9
What is f in 4 + 1582*f**2 + f**3 + 31329*f + 0*f**3 - 4 - 1228*f**2 = 0?
-177, 0
Let i be (-1*(-186)/(-90) - 5)*-6. Let z = i - 2736/65. Factor 2/13*t**4 + 8/13 - 8/13*t + z*t**3 - 6/13*t**2.
2*(t - 1)**2*(t + 2)**2/13
Let f = -86614 + 86616. Determine b, given that 64/7 + 1/7*b**f + 16/7*b = 0.
-8
Suppose 5*l + 498*r - 496*r = 38, -2*l + 32 = 2*r. What is j in 4/5*j - 12/5 + 1/5*j**l = 0?
-6, 2
Let q be (-33)/(-9) + (-3 - -4 - 95/57). Suppose -4*p + 23 + 9 = 0. Suppose -p*m**2 + 8/3*m + 0 - 14/3*m**q = 0. Calculate m.
-2, 0, 2/7
Find h such that -62*h**2 + 44*h**3 + 9*h**3 + h**4 + 327995 - 420*h - 327347 = 0.
-54, -3, 2
Let j(c) be the third derivative of c**5/30 + 25*c**4 + 1184*c**3/3 + 9*c**2 + 137. Factor j(l).
2*(l + 4)*(l + 296)
Let z = -49 + 49. Suppose 4*o - 5*o - 7*o = z. Factor o*m**2 + 4 + 4*m**2 - 4.
4*m**2
Let n(g) be the first derivative of -g**5/90 + 13*g**4/18 + 3*g**3 - 2*g**2 - 25*g - 81. Let y(q) be the second derivative of n(q). Suppose y(o) = 0. What is o?
-1, 27
Suppose 13*s + 65 = 15*s - 5*v, 4*s - 117 = -3*v. Let b(x) be the first derivative of 19 - 50/3*x**3 + s*x**2 - 18*x. Factor b(h).
-2*(5*h - 3)**2
Let z = -16 - -27. Suppose -z*k - 6*k = 0. Factor 16/9*f**2 - 4/9*f - 4/9*f**5 - 8/3*f**3 + k + 16/9*f**4.
-4*f*(f - 1)**4/9
Let t(w) = -w**3 + 4*w**2 + 2*w - 4. Let s be t(4). Suppose -i + 2*v + 3*v = 3, -v = -i + 1. Factor 12*o**2 + 6 + i - 22*o + s - 2*o**3.
-2*(o - 3)*(o - 2)*(o - 1)
Suppose -y - 9 = 5*x, -4*y + x + 31 + 17 = 0. Solve 12 + 3*k + 15*k**4 - y*k**4 + 8*k**3 - 17*k**2 + k**2 - 11*k = 0 for k.
-3, -1, 1
Suppose -245 - 1/2*y**2 - 49/2*y = 0. Calculate y.
-35, -14
Factor 2312/3*x + 0 + 136/3*x**2 + 2/3*x**3.
2*x*(x + 34)**2/3
Let v(f) be the first derivative of 2/9*f**3 + 0*f + f**2 + 36 - 1/2*f**4 - 2/15*f**5. Factor v(n).
-2*n*(n - 1)*(n + 1)*(n + 3)/3
Let z(x) be the first derivative of x**4/12 + 14*x**3/9 + 22*x**2/3 + 40*x/3 - 830. Factor z(b).
(b + 2)**2*(b + 10)/3
Let q(w) be the first derivative of -4*w**3/3 - 132*w**2 - 512*w - 7275. Factor q(c).
-4*(c + 2)*(c + 64)
Let i(p) be the second derivative of p**6/30 + 19*p**5/20 + 17*p**4/12 - 19*p**3/6 - 9*p**2 + 5*p + 48. Factor i(w).
(w - 1)*(w + 1)**2*(w + 18)
Let i be (-2)/9 - (1140/(-27) - 5). Suppose 46*c - 4 = i*c - 2*h, -2*c = -h + 2. Factor 2/5*k**2 + c*k - 2/5.
2*(k - 1)*(k + 1)/5
Let x(g) = 37*g**3 - g**2 + 2*g. Let j(i) = -144*i**3 - 568*i**2 + 1108*i + 1692. Let v(u) = j(u) + 4*x(u). Suppose v(m) = 0. What is m?
-1, 3, 141
Solve -3/5*y**3 - 1764/5*y**2 - 345744/5*y - 22588608/5 = 0 for y.
-196
Let m(d) be the second derivative of d**6/630 + 8*d**5/105 + 41*d**3/2 - 2*d - 6. Let v(z) be the second derivative of m(z). Factor v(i).
4*i*(i + 16)/7
Factor 3161382 + 8515*r + 2*r**2 + 1907435 - 294767 - 2335*r.
2*(r + 1545)**2
Let w(g) = -g**4 + 2*g**2 + 8*g + 1. Let r(u) = 5*u**5 + 333*u**4 - 5*u**3 - 326*u**2 + 56*u + 7. Let h(v) = r(v) - 7*w(v). Suppose h(o) = 0. What is o?
-68, -1, 0, 1
Determine b, given that -684/7*b**4 - 48/7 - 368/7*b - 996/7*b**2 - 1220/7*b**3 - 20*b**5 = 0.
-2, -1, -3/5, -2/7
Let l = 23394/65 - 68752/195. Suppose l*p - 20/9 + 14/9*p**2 = 0. Calculate p.
-5, 2/7
Let o(n) = 23*n**2 - 3415*n + 1455221. Let h(j) = -53*j**2 + 6831*j - 2910443. Let m(x) = -3*h(x) - 7*o(x). Factor m(k).
-2*(k - 853)**2
Let x(t) = -11*t**3 + 372*t**2 + 86*t - 610.