**2 + 1/300*y**5 + 1/15*y**3. What is j in g(j) = 0?
1, 2
Let w(z) be the third derivative of z**5/15 + z**4/6 - 4*z**3 + 2*z**2 - 787. Determine x so that w(x) = 0.
-3, 2
Let a be 1/(-7) - 88/(-28). Let x = -637 - -672. Factor -25*v**2 + 23*v + 8*v**a + 22*v - 10 + 17*v**3 - x*v**2.
5*(v - 1)**2*(5*v - 2)
Let j be (6 + 32)*(-2)/((-4)/(-2)). Let o = -30 - j. Factor 129*g**4 - 59*g**4 - 16*g**2 + 12 - 66*g**4 + 8*g**3 - o*g.
4*(g - 1)**2*(g + 1)*(g + 3)
Suppose 4*p - 3*p = 2*d - 7, -4*p + 17 = d. Let s(j) = 876*j + 6162. Let r be s(-7). Solve 12 + 99/4*l**2 + 3/4*l**4 - 15/2*l**p - r*l = 0.
1, 4
Suppose 0 = 1097*p - 1805 + 1805. Determine r, given that 2/19*r**3 - 2/19*r + p*r**2 + 0 = 0.
-1, 0, 1
Solve -8242/3*u - 2/3*u**3 + 4124/3*u**2 + 4120/3 = 0 for u.
1, 2060
Let b(j) = j**2 + 2*j. Let d(k) be the third derivative of k**5/30 - 7*k**4/8 + 14*k**3/3 - 47*k**2. Let q(a) = 6*b(a) - 2*d(a). Factor q(g).
2*(g - 1)*(g + 28)
Let f(h) be the first derivative of -5*h**6/6 - 32*h**5 + 515*h**4/4 - 350*h**3/3 - 1808. Find k, given that f(k) = 0.
-35, 0, 1, 2
Let p(a) be the third derivative of 103*a**5/150 + 49*a**4/30 - a**3/3 + 1862*a**2. Factor p(l).
2*(l + 1)*(103*l - 5)/5
Let f(b) be the first derivative of -b**4/12 + 43*b**3/3 - 553*b**2/2 + 5635*b/3 - 5950. Factor f(o).
-(o - 115)*(o - 7)**2/3
Let t(u) be the second derivative of u**7/42 + 19*u**6/30 - 21*u**5/20 - 19*u**4/12 + 10*u**3/3 - 88*u + 1. Determine y, given that t(y) = 0.
-20, -1, 0, 1
Let v(s) be the first derivative of 11/2*s**2 + 1/6*s**3 - 1 + 121/2*s. Let v(c) = 0. Calculate c.
-11
Let f = -1810 - -1812. Let k(y) be the first derivative of -2/3*y**3 + 4/3*y - 1/3*y**4 + 7 + y**f. Solve k(p) = 0 for p.
-2, -1/2, 1
Suppose 236*b + 4*f - 64 = 235*b, f = 4*b - 18. Let -16/3 + b*o - 2/3*o**5 - 22/3*o**3 + 4*o**4 + 4/3*o**2 = 0. Calculate o.
-1, 1, 2
Suppose 11*l - 1 = 5*g, g + 22*l - 1 = 23*l. Factor -1/2*a + 5/3 - 1/6*a**g.
-(a - 2)*(a + 5)/6
Let b(s) = s**2 + 12*s + 32. Let j(x) be the third derivative of x**4/2 + 11*x**3/2 - 4*x**2 + 6. Let k(t) = -3*b(t) + 4*j(t). What is f in k(f) = 0?
-2, 6
Suppose -38*u = -2*u + 18504. Let w = -510 - u. Suppose -464/13*j**2 - 98/13*j**5 - 140/13*j**w + 888/13*j**3 + 0 + 64/13*j = 0. Calculate j.
-4, 0, 2/7, 2
Let o(w) be the second derivative of -1/105*w**7 + 0*w**3 - 1 + 0*w**2 + 1/75*w**6 - 13*w - 1/30*w**4 + 1/50*w**5. Factor o(c).
-2*c**2*(c - 1)**2*(c + 1)/5
Let m be (-5)/((-5)/(-88)) + (-15)/(-3). Let s = 83 + m. Let 4/3*q - 4/3*q**3 + s - 2/3*q**2 + 2/3*q**4 = 0. What is q?
-1, 0, 1, 2
Let a(j) = -184*j - 5. Let z be a(-2). Let h = -361 + z. Factor -2/5*s - 2/5*s**h + 2/5*s**4 + 2/5*s**3 + 0.
2*s*(s - 1)*(s + 1)**2/5
Let s be 1/(-3)*23790/(-715) + -6. Let w be 1 + (-1 + 0 - -2). Find t such that s*t + 8/11 + 98/11*t**w = 0.
-2/7
Find r, given that r**2 - 968000 + 1586*r - 6*r**2 - 5986*r = 0.
-440
Let o(n) be the second derivative of n**6/6 - 5*n**5 - 5*n**4/12 + 50*n**3/3 + 893*n. What is x in o(x) = 0?
-1, 0, 1, 20
Let h be 36/(-5)*-36*175/6720. Let -183/4*w**2 - 30*w**3 - 57/2*w - h*w**4 - 6 = 0. What is w?
-2, -1, -4/9
Suppose -2 = 4*g - 18. Let d(v) = -38*v**3 + 34*v**2 + 56*v - 34. Let s(i) = 20*i**3 - 16*i**2 - 28*i + 16. Let l(o) = g*d(o) + 9*s(o). Factor l(c).
4*(c - 1)*(c + 1)*(7*c - 2)
Suppose -269*f + 1697 = 519*f - 667. Factor -11/2*p**2 - 121/4*p - 1/4*p**f + 0.
-p*(p + 11)**2/4
Let c be 12/56*(-4242)/315. Let z = c + 23/5. What is o in -16/7 - z*o + 4/7*o**2 = 0?
-1, 4
Let v(r) be the first derivative of 110 + 0*r**2 - 11/18*r**6 - 2/3*r**3 + 0*r - 4/3*r**5 + 37/12*r**4. Suppose v(j) = 0. What is j?
-3, 0, 2/11, 1
Suppose 1687 = 2*t + 1701, 0 = 3*v + 3*t - 45. Let l(g) be the first derivative of 0*g - 1/7*g**3 + 3/7*g**2 - 3/28*g**4 - v. Factor l(m).
-3*m*(m - 1)*(m + 2)/7
Let o(y) be the first derivative of y**6/180 + 83*y**5/30 + 6889*y**4/12 - 91*y**3 + 94. Let x(s) be the third derivative of o(s). What is n in x(n) = 0?
-83
Let v(g) be the first derivative of -g**5/25 - 173*g**4/20 + g**3/15 + 173*g**2/10 + 1454. Let v(j) = 0. What is j?
-173, -1, 0, 1
Let a(q) be the second derivative of 0 - 3*q**3 - 11/4*q**4 + 4*q**2 + 72*q - 7/20*q**5. Factor a(z).
-(z + 1)*(z + 4)*(7*z - 2)
Let a be 9584/(-64) + 6/(-24). Let h be (1/2*12)/(a/(-315)). Let h*o**4 + 0 + 12/5*o**2 - 147/5*o**5 + 72/5*o**3 + 0*o = 0. What is o?
-2/7, 0, 1
Let z(q) be the first derivative of q**5/100 + q**4/30 + 38*q + 28. Let s(b) be the first derivative of z(b). Let s(o) = 0. What is o?
-2, 0
Determine d, given that 965*d**2 + 955/3*d**3 - 5/3*d**4 + 2905/3*d + 970/3 = 0.
-1, 194
Let x(u) = -u**3 + 10*u**2 - 7*u + 16. Let f be x(10). Let w = f + 57. Factor -8*c - 15*c**w + 8*c**3 + 11*c**3 + 4*c**2.
4*c*(c - 1)*(c + 2)
Factor -1075/3*m**2 + 0 + 1072/3*m**3 + 269/3*m + 4/3*m**4.
m*(m + 269)*(2*m - 1)**2/3
Let y(t) = 7*t**3 - t. Let b(x) = 14*x**5 + 45*x**4 + 65*x**3 + 23*x**2 + x. Let w(o) = b(o) - 2*y(o). Solve w(j) = 0.
-1, -3/14, 0
Let d = -1653 - -1656. Let l(a) be the first derivative of 1/3*a**d - 10 + 1/4*a**4 + 0*a - a**2. Factor l(v).
v*(v - 1)*(v + 2)
Solve 288/5*z**4 - 288/5*z**2 - 6912/5*z + 3/5*z**5 + 0 + 6909/5*z**3 = 0 for z.
-48, -1, 0, 1
Let l(n) be the second derivative of n**5/90 + 8*n**4/27 - 11*n**3/3 + 14*n**2 + 214*n + 9. Solve l(v) = 0 for v.
-21, 2, 3
Solve -62*m - 4*m**5 - 743*m**3 + 20*m**4 - 498*m**2 + 831*m**3 + 34*m**2 + 191*m + 351*m = 0.
-5, 0, 2, 6
Let n(x) be the first derivative of -x**4/4 + 9*x**3 - 53*x**2/2 + 78*x + 122. Let w be n(25). Solve -2/7*v - 4/7 + 16/7*v**2 - 10/7*v**w = 0 for v.
-2/5, 1
Let t be (10/(-8) - -1) + (-3096)/(-12128). Let d = t + 3397/2653. Factor -6/7*n - 3*n**2 + d - 6/7*n**3.
-3*(n + 1)*(n + 3)*(2*n - 1)/7
Let v(p) be the first derivative of -p**4/4 - 83*p**3/3 - 1763*p**2/2 - 1681*p - 384. Find k such that v(k) = 0.
-41, -1
Let n = -23 + 14. Let b(i) = -2*i**2 - 19*i - 7. Let a be b(n). Factor -3*m**3 + 2*m**3 + 8*m**a - 4*m - 5*m**3 + 2*m**3.
-4*m*(m - 1)**2
Let l = 3814/65 - 755/13. Determine a, given that l*a**2 - 24/5 - 6/5*a = 0.
-2, 4
Let g(f) be the third derivative of 49*f**6/72 + 217*f**5/36 - 260*f**4/9 - 1690*f**3/3 - 5*f**2 - 423*f. Suppose g(h) = 0. Calculate h.
-26/7, 3
Suppose 0 = -5*a + c - 205, 4*a = a + 5*c - 145. Let d = -34 - a. Find o, given that -d + 6 + 2 + 5*o - 2*o - 5*o**2 = 0.
-2/5, 1
Let z(a) be the first derivative of a**6/60 + 228*a**5/25 + 12881*a**4/10 - 52669*a**3/15 - 10305*a**2/4 + 52441*a/5 - 8849. Find o such that z(o) = 0.
-229, -1, 1, 2
Let 0*v + 432/7*v**2 - 2/7*v**4 + 138/7*v**3 + 0 = 0. Calculate v.
-3, 0, 72
Determine c, given that -229*c**2 + 3*c**2 - 4*c**3 + 172*c + 58*c**2 = 0.
-43, 0, 1
Let 40457*x**2 - 80931*x**2 + 1062 + 40471*x**2 - 345*x = 0. What is x?
-118, 3
Let u(c) be the first derivative of -44*c**3/3 - 472*c**2 + 528*c - 1298. Factor u(m).
-4*(m + 22)*(11*m - 6)
Find q such that 471/2 - 3/2*q**3 - 945/2*q + 477/2*q**2 = 0.
1, 157
Let k be (-154)/(-290) - (-2306)/33437. Factor -k*c**2 + 0*c + 0.
-3*c**2/5
Determine v so that -568/3*v - 566/3 - 2/3*v**2 = 0.
-283, -1
Let y(x) be the third derivative of -305809*x**5/10 + 553*x**4/6 - x**3/9 + 26*x**2 + 32*x. Factor y(t).
-2*(1659*t - 1)**2/3
Factor 3/4*u**2 + 5913648 - 4212*u.
3*(u - 2808)**2/4
Let d(c) be the second derivative of c - 1/24*c**7 + 14 + 0*c**3 - 2/15*c**6 - 11/80*c**5 - 1/24*c**4 + 0*c**2. Factor d(n).
-n**2*(n + 1)**2*(7*n + 2)/4
Let f(v) = -v**2 + 4 + 4*v - 3*v**2 + 0 - 7*v**3 + 2*v**3 + 2*v**3. Let a be f(-2). Suppose 26/3*x**2 + a*x**3 + 8/3 + 2/3*x**4 + 8*x = 0. Calculate x.
-2, -1
Let u(g) be the second derivative of g**8/77280 - g**7/28980 - g**6/4140 + 29*g**4/12 + 2*g - 22. Let c(x) be the third derivative of u(x). Factor c(t).
2*t*(t - 2)*(t + 1)/23
Suppose -509 = -h - n - 21, -h + 5*n + 476 = 0. Suppose -6*s = -0*s - h. Factor -6*y**2 - 4*y**3 + 5*y - 3*y**5 + 2*y + 89*y**4 - 2 - s*y**4.
-(y - 1)**3*(y + 1)*(3*y - 2)
Let d(z) = -4*z**3 - 358*z**2 - 32047*z + 3. Let x(b) = b**3 + 2*b - 1. Let g(l) = -d(l) - 3*x(l). Suppose g(k) = 0. Calculate k.
-179, 0
Let l(p) be the third derivative of 2/105*p**7 + 1/3*p**4 + 0*p - 1/15*p**5 + 0*p**3 + 0 - 1/10*p**6 + 1/84*p**8 + 11*p**2. Suppose l(s) = 0. What is s?
-2, -1, 0, 1
Let w(s) = -s**3 - 7*s**2 - 5*s - 8.