*a + 68 - 11/2*a**3 = 0. What is a?
-17, -1, 8
Let i(p) be the third derivative of p**6/660 - 7*p**5/165 + 19*p**4/44 - 24*p**3/11 + 1769*p**2. Determine h so that i(h) = 0.
3, 8
Let i(n) be the third derivative of -n**6/24 + 139*n**5/12 - 685*n**4/12 + 7017*n**2. Find j, given that i(j) = 0.
0, 2, 137
Let a(v) be the second derivative of -v**6/20 - 3*v**5/4 - 37*v**4/8 - 15*v**3 - 27*v**2 + 757*v + 2. Suppose a(k) = 0. What is k?
-3, -2
Let g(j) be the third derivative of j**8/1680 + 29*j**7/1050 + 307*j**6/600 + 489*j**5/100 + 27*j**4 + 90*j**3 - j**2 - 800. Factor g(q).
(q + 3)**3*(q + 10)**2/5
Let r = -15964 + 15967. Factor -7/5*u + 1/5*u**r - 6/5 + 0*u**2.
(u - 3)*(u + 1)*(u + 2)/5
Let y(j) be the first derivative of -5/3*j**3 - 30*j - 25/2*j**2 + 82. What is f in y(f) = 0?
-3, -2
Let b be (-123 - 0) + (3 - -4). Let u be -5 + 435/b*(-8)/6. Solve o**2 - o**4 + u*o - 1/2*o**3 + 0 + 1/2*o**5 = 0 for o.
-1, 0, 1, 2
Let g(n) be the second derivative of -n**6/6 + 83*n**5/4 + 35*n**4 + n - 539. Solve g(x) = 0 for x.
-1, 0, 84
Let d(c) be the first derivative of 4*c**3/3 + 4492*c**2 + 5044516*c - 6621. Find n, given that d(n) = 0.
-1123
Suppose -2*g = -t - 6, 5*g + 294*t - 26 = 291*t. Let q(s) be the third derivative of 0*s - 1/12*s**g + 0 + 27*s**2 + 1/30*s**5 + 0*s**3. Factor q(h).
2*h*(h - 1)
Let k(u) = -u**2 + 4*u + 7. Let b = -81 + 86. Let f be k(b). Factor -68*g - 4*g**3 - 7*g**2 - g**2 - 32*g**f - 32.
-4*(g + 1)**2*(g + 8)
Factor -39/4*b + 0 - 1/8*b**2.
-b*(b + 78)/8
Let w(g) be the third derivative of 21*g**6/20 + 167*g**5/20 - g**4/2 - 477*g**2 + g. Suppose w(y) = 0. Calculate y.
-4, 0, 1/42
Suppose -16 = 3*b - 4*b. Suppose -2*t - 3*h = 2*h - 13, -4*h = 3*t - b. Factor t*k**4 - 4 + k + 2*k + 5*k - 3*k**3 - 5*k**3.
4*(k - 1)**3*(k + 1)
Let m(z) be the second derivative of z**7/3780 + z**6/135 - z**5/20 - 119*z**4/12 + z - 117. Let q(f) be the third derivative of m(f). Let q(k) = 0. What is k?
-9, 1
Let f(h) = 99*h**2 + 132*h + 361. Let g(z) = 75*z**2 + 132*z + 363. Let r(i) = 3*f(i) - 4*g(i). Factor r(b).
-3*(b + 3)*(b + 41)
Factor -4363/8*j + 5/8*j**2 - 873/4.
(j - 873)*(5*j + 2)/8
Let v = -5495 + 5498. Let c = -10 - -14. Factor v*j + 189*j**3 - 137*j**3 + 24*j**4 + 13*j - 31*j**2 + 79*j**2 + c*j**5.
4*j*(j + 1)**2*(j + 2)**2
Let b(w) = 11*w**2 - 480*w + 941. Let t(u) = -16*u**2 + 720*u - 1411. Let j(k) = 7*b(k) + 5*t(k). Factor j(f).
-3*(f - 78)*(f - 2)
Let j be 25 - 109 - -3*1. Let o = -48 - j. Factor -8*g**2 - 4*g + 2*g + 36*g**4 + o*g**3 - 27*g**3.
2*g*(2*g - 1)*(3*g + 1)**2
Let a = -294034 + 294142. Solve -a*o + 30*o**2 + 144 - 11/3*o**3 + 1/6*o**4 = 0 for o.
4, 6
Suppose -57*u - 101498 = -6023. Let i = 8399/5 + u. Factor -48*w - 4/5*w**4 - 80 + 44/5*w**2 + i*w**3.
-4*(w - 5)**2*(w + 2)**2/5
Let g(y) be the third derivative of 1/60*y**5 + 7*y**2 + 0 + 0*y**3 + 1/630*y**7 - 1/120*y**6 - 1/72*y**4 + 0*y. Let g(j) = 0. What is j?
0, 1
Let n(d) be the third derivative of d**10/7200 + d**9/10080 - 4*d**5 - 15*d**2. Let k(a) be the third derivative of n(a). Factor k(v).
3*v**3*(7*v + 2)
Let y = -5599 - -67193/12. Let o(p) be the second derivative of 0 + 5/3*p**3 - 14*p + y*p**4 - 15/2*p**2. Factor o(w).
5*(w - 1)*(w + 3)
Suppose 7*w - 29 = -2*h, 5 = -2*w + 110*h - 115*h. Factor -21/4*a - w - 1/4*a**2.
-(a + 1)*(a + 20)/4
Determine f, given that -4/9*f**4 - 292/9*f**2 - 268/3*f + 104 + 164/9*f**3 = 0.
-2, 1, 3, 39
Let x = 463 + -403. Let j be (-4)/x*-6 + (-42)/(-45). Factor 8/3 + 1/6*l**3 - 7/6*l**2 + j*l.
(l - 4)**2*(l + 1)/6
Let t(f) = f**3 + 14*f**2 + 15*f + 31. Let s be t(-13). Suppose 0 = k + 5*v, -5*k = -s*v + 6*v. What is h in 8/13*h - 24/13*h**2 + k + 10/13*h**3 = 0?
0, 2/5, 2
Let n(i) be the second derivative of -i**4/12 + 7*i**3/3 + 17*i**2 + 49*i. Let b be n(16). Factor -12*l + 2*l - 5*l**b + 22 - 22.
-5*l*(l + 2)
Let c be (6/(-12))/(5*(-3)/15). Factor -25/2 - 5*u - c*u**2.
-(u + 5)**2/2
Let w(d) be the third derivative of 0*d**3 + 33*d + 3/200*d**6 - d**2 + 1/1680*d**8 + 7/300*d**5 + 1/60*d**4 + 1/210*d**7 + 0. Solve w(y) = 0.
-2, -1, 0
Let q(x) be the second derivative of -x**6/45 + 35*x**5/9 + 13*x**4/6 + 9*x + 58. Factor q(c).
-2*c**2*(c - 117)*(3*c + 1)/9
Let 73/4*v - 73/4*v**3 + 231/2 - 461/4*v**2 - 1/4*v**4 = 0. Calculate v.
-66, -7, -1, 1
Let i be ((-1)/3)/(6/(-144)*4). Factor -72*a + 29*a**3 - 13*a**3 + 8*a**4 - 43*a**2 - 17*a**i + 8*a**4.
4*a*(a - 2)*(2*a + 3)**2
Let u = -42 - -45. Factor -9 - 13*n - n**u + 13*n - 7*n**2 - 15*n.
-(n + 1)*(n + 3)**2
Factor -19*v**2 + 476*v + 1/4*v**3 - 3920.
(v - 28)**2*(v - 20)/4
Solve 0 - 560*g**3 + 835/3*g**5 + 20/3*g**2 + 0*g + 275*g**4 = 0.
-2, 0, 2/167, 1
Let d(y) be the first derivative of -5*y**6/6 - 58*y**5 - 565*y**4/4 - 280*y**3/3 - 1097. Solve d(j) = 0.
-56, -1, 0
Let g be 136/(-16)*-6 + (-12 - -1). Let m(q) be the first derivative of g*q - 45/2*q**2 + 5/3*q**3 - 17. Solve m(r) = 0 for r.
1, 8
Determine j, given that 5198*j**2 + 1604 - 5837 - 1167 - 7660*j - 260*j**3 - 4*j**4 - 7714*j**2 = 0.
-54, -5, -1
Let p(y) be the first derivative of y**3/5 + 4686*y**2/5 + 7319532*y/5 - 2710. Determine o, given that p(o) = 0.
-1562
Find i, given that -232/7*i**2 + 2/7*i**3 + 422*i - 1428 = 0.
7, 102
Let t(z) be the second derivative of -z**6/24 + 9*z**5/40 - 7*z**4/48 - z**3/4 + 1343*z. Factor t(k).
-k*(k - 3)*(k - 1)*(5*k + 2)/4
Let p(w) = -w**2 - 28*w - 155. Let o be p(-20). Let -1288*r - 29 + 173 + 98*r**o + 1902*r**4 - 390*r**4 + 3852*r**2 - 898*r**3 - 3420*r**3 = 0. What is r?
-18, 2/7, 1
Suppose -12*c + 62*c = -89*c. Factor 12/5*m**4 + 0*m - 2/5*m**5 + c*m**2 + 0 - 18/5*m**3.
-2*m**3*(m - 3)**2/5
Suppose 3*l + 3*f - 24 = 0, 128*f - 130*f + 4 = -4*l. Factor 2*k - 18/7*k**l + 10/7*k**3 - 2/7*k**4 - 4/7.
-2*(k - 2)*(k - 1)**3/7
Let a be 5 + -7401*(6 - (-70)/(-12)). Let n = 1230 + a. Let n*k**2 - 5/2*k - 1 = 0. What is k?
-1/3, 2
Factor 1244*a - 6*a**3 - 12*a**2 + 3*a**4 - 407*a + 9 - 416*a + 0*a**3 - 415*a.
3*(a - 3)*(a - 1)*(a + 1)**2
Let g be ((-1)/(-13) - 64635/(-8463)) + -4 + 0. Find s such that -8/7 - 24/7*s - 12/7*s**3 - 2/7*s**4 - g*s**2 = 0.
-2, -1
Factor 89*r**2 - 116 + 503 + 383 - 11*r**2 + 2*r**3 + 414*r - 176.
2*(r + 3)**2*(r + 33)
Let y be 1/(-10) - (282/525)/((-12)/15). Let 9/7*h - y + 1/7*h**3 - 6/7*h**2 = 0. Calculate h.
1, 4
Let w(d) = 51*d**2 - 581*d**4 + 33 - 57*d - 12 - 21*d**3 + 584*d**4. Let a(i) = i**2 - i + 1. Let p(c) = 3*a(c) + w(c). Factor p(h).
3*(h - 2)**3*(h - 1)
Let k(i) = -74*i**3 - 79*i**2 + 128*i + 34. Let p(n) = 520*n**3 + 554*n**2 - 896*n - 244. Let h(w) = 22*k(w) + 3*p(w). Determine m, given that h(m) = 0.
-2, -2/17, 1
Let f(w) be the second derivative of 81*w + 0 + 1/6*w**7 - 3/10*w**5 - 1/6*w**3 - 3/2*w**2 - 11/30*w**6 + 7/6*w**4. Find d such that f(d) = 0.
-1, -3/7, 1
Let w be (69 - 72)*2/(-3). Factor -w*h**5 + 4*h**4 - 2*h**3 + 919*h**2 - 919*h**2.
-2*h**3*(h - 1)**2
Let w be (299/13 - 13) + 13/(52/(-24)). What is y in 0*y + 8/7*y**3 + 0 + 0*y**2 - 4*y**w + 12/7*y**5 = 0?
0, 1/3, 2
Let p(d) be the second derivative of d**4/4 + 1477*d**3 + 7804*d. Determine j so that p(j) = 0.
-2954, 0
Let b = 263563/18496 + 5/18496. Determine n so that 3/4*n**3 + b + 117/4*n + 63/4*n**2 = 0.
-19, -1
Let c = -399381 - -399386. Suppose -8/3*h**4 + 0*h + 8/3*h**3 + 0 + 0*h**2 + 2/3*h**c = 0. What is h?
0, 2
Let u(n) = 10*n**3 + 147*n**2 - 879*n + 986. Let m(s) = 6*s**3 + s**2 - 3*s - 2. Let w(x) = 2*m(x) - u(x). Factor w(f).
(f - 66)*(f - 5)*(2*f - 3)
Suppose 5*t + 135 = -4*t. Let c be t/14 + (-126)/(-84). Solve 0 + 1/7*v**2 - c*v = 0 for v.
0, 3
Let n(c) = -2*c + 1. Let y(q) be the second derivative of q**4/6 - q**3/3 - 5*q**2 + 6*q. Let z(d) = -10*n(d) - y(d). Find p, given that z(p) = 0.
0, 11
Let z = -136 - -218. Factor -160*s**2 + 4 + 7*s - 3 + z*s**2 + 84*s**2.
(s + 1)*(6*s + 1)
Let u be -2*11/((-154)/14)*((-15)/3 - -6). Factor -1/6*i**u - 1350 - 30*i.
-(i + 90)**2/6
Let m(a) = -120*a**3 + 9517*a**2 - 1976*a - 386. Let i(r) = -240*r**3 + 19038*r**2 - 3954*r - 769. Let q(h) = 3*i(h) - 7*m(h). Factor q(n).
5*(n - 79)*(3*n - 1)*(8*n + 1)
Let x(m) be the third derivative of -m**5/12 + 8035*m**4/12 - 12912245*m**3/6 + 1659*m**2. Factor x(l).
-5*(l - 1607)**2
Let h(w) be the third derivative of -w**8/168 - 8*w**7/105 + 13*w**6/20 + 109*w**5/15 + 73*w**4/3 +