 the first derivative of 9*c**4 + 12*c**3 - 147*c**2 - 608*c + 91. Let n(w) = 5*w**3 + 5*w**2 - 42*w - 87. Let h(g) = -44*n(g) + 6*q(g). Factor h(k).
-4*(k - 5)*(k + 3)**2
What is y in -96*y**2 - 3/2*y**5 - 96*y**3 - 21*y**4 + 384*y + 768 = 0?
-4, 2
Suppose -22 = -b + n, -3*b + 31 = 5*n - 11. Suppose 10*o = b*o. Determine x, given that -1/4*x**2 - 1/4*x + o = 0.
-1, 0
Let l = -17363/84 + 90617/252. Solve -64/9*u**3 - 28/3 - 676/9*u - l*u**2 = 0 for u.
-21, -1/4
Let g(q) be the third derivative of q**5/15 + 19*q**4/6 + 56*q**3 - 2*q**2 + 917. Determine s, given that g(s) = 0.
-12, -7
Solve 28/5 + 38/5*g + 8/5*g**2 - 2/5*g**3 = 0.
-2, -1, 7
Let k(s) be the second derivative of s**6/450 + s**5/15 + 3*s**4/10 + 65*s**3/6 - 5*s + 1. Let u(v) be the second derivative of k(v). Solve u(c) = 0 for c.
-9, -1
Let t = 572 + -570. Let j = 4 + 0. Factor -11*p**t + 4 + 9*p**2 - 5 + 7 - j*p.
-2*(p - 1)*(p + 3)
Let t be ((5776/76)/76)/((-1)/(-3)). Find c, given that 0*c**t + 0*c + 0 - 2/3*c**4 + 0*c**2 + 2/3*c**5 = 0.
0, 1
Let c(j) be the second derivative of -j**7/11340 - j**6/1620 - 23*j**4/6 - 90*j. Let r(q) be the third derivative of c(q). Factor r(p).
-2*p*(p + 2)/9
Let g = 464687/309790 - 1/154895. Let 0 - 45/2*m - 12*m**2 - g*m**3 = 0. Calculate m.
-5, -3, 0
Let c be ((-1121)/6)/(-59) - 1/6. Solve -1/4*q**c - 5/4*q - 3/2*q**2 + 3 = 0 for q.
-4, -3, 1
Let u be 1320/210 + 30 - 34. Solve 8/7*a - 12/7*a**2 + u - 2/7*a**4 - 10/7*a**3 = 0.
-2, 1
Let k(i) be the third derivative of i**7/14 + 16*i**6/3 + 1391*i**5/18 - 5840*i**4/3 + 26645*i**3/2 + 2*i**2 - 1769. Suppose k(r) = 0. Calculate r.
-73/3, 3
Let p(y) = y**2 - 98*y + 91. Let j(s) = -4*s**2 + 198*s - 179. Let v(w) = 2*j(w) + 5*p(w). Factor v(q).
-(q - 1)*(3*q + 97)
Let t be ((-99)/891)/((4/48)/(-1)). Let z(b) be the first derivative of 11/3*b**2 - t*b + 17/6*b**4 - 2 - 14/3*b**3 - 2/3*b**5. Solve z(v) = 0 for v.
2/5, 1
Let j = -773 + 1493. Find h, given that 76*h + 98*h - 5*h**2 - j - 54*h = 0.
12
Let w(d) = 3*d**5 - 9*d**4 + 6*d**3 + 14*d**2 + 2*d + 2. Let r(g) = -4*g**5 + 9*g**4 - 6*g**3 - 13*g**2 - 3*g - 3. Let s(q) = 4*r(q) + 6*w(q). Factor s(k).
2*k**2*(k - 8)*(k - 2)*(k + 1)
Let d be 4/134 - 271076/(-22646). Let w(f) be the third derivative of 0*f + f**5 + 0 - d*f**2 + 4/15*f**6 - 32/3*f**3 + 2/105*f**7 - 4/3*f**4. Factor w(s).
4*(s - 1)*(s + 1)*(s + 4)**2
Let i(t) be the first derivative of 13*t**6/4 - 231*t**5/5 + 333*t**4/2 + 36*t**3 + 4873. Solve i(b) = 0.
-2/13, 0, 6
Suppose -25/3*x**3 - 5/3*x**4 - 5*x**2 + 20/3 + 25/3*x = 0. What is x?
-4, -1, 1
Let c(h) be the third derivative of -h**5/12 - 125*h**4/12 - 3125*h**3/6 - 33*h**2 + 10. Factor c(n).
-5*(n + 25)**2
Suppose 0 = 162*w + 81 - 86 - 481. Determine d so that -2/3 - 3*d - 2/3*d**2 + 3*d**w + 4/3*d**4 = 0.
-2, -1, -1/4, 1
Factor 176/7 - 40*m + 2/7*m**4 - 34/7*m**3 + 156/7*m**2.
2*(m - 11)*(m - 2)**3/7
Let m be 70/35*98/4 + -4. Suppose -2*i = 37 - m. Let 3/2*p + 1/4 + 4*p**i + 1/4*p**2 - 6*p**3 = 0. What is p?
-1/4, 1
Let z = 679769 - 3398831/5. What is j in -74/5*j**2 + z*j**4 - 74/5*j + 26/5*j**3 + 12/5 = 0?
-3, -1, 1/7, 2
Let h(k) be the second derivative of -k**6/40 - 7*k**5/20 + 5*k**4/8 + 68*k**3/3 - 2*k + 16. Let f(j) be the second derivative of h(j). What is z in f(z) = 0?
-5, 1/3
Let h(c) be the third derivative of -c**5/210 - 5*c**4/21 - 19*c**3/21 - 791*c**2. Find l such that h(l) = 0.
-19, -1
Let n(d) = 1405*d - 30908. Let b be n(22). Find z, given that -94/7*z + 30/7*z**b + 12/7 = 0.
2/15, 3
Let f = 217021/9 - 24203. Let m = f + 836/9. Factor 26/3*z - m*z**2 + 4.
-2*(z - 3)*(5*z + 2)/3
Let t = 347/955 + 2171/1910. Factor -5/4*x**2 + 1/8*x**3 - 23/8*x - t.
(x - 12)*(x + 1)**2/8
Let l(h) = 115*h - 15. Let i be l(5). Let t = -558 + i. Factor -4/15 + t*j**2 + 14/15*j**4 + 2/15*j + 38/15*j**3.
2*(j + 1)**3*(7*j - 2)/15
Let q be 2 + -11 - (-74 + 59). Let v(c) be the third derivative of 3*c**2 + 1/5*c**5 + 0*c**3 + 1/10*c**q + 2/105*c**7 - 10 + 0*c + 1/6*c**4. Solve v(j) = 0.
-1, 0
Let h(x) be the second derivative of -x**8/5376 + x**7/1440 - x**6/1440 + 3*x**4/2 - x**3/3 - 23*x. Let i(f) be the third derivative of h(f). Factor i(d).
-d*(d - 1)*(5*d - 2)/4
Let i = -242/291 + 9166/291. Determine s so that -2/3*s**2 - 1058/3 - i*s = 0.
-23
Let q be (1/3)/(-8*(-17)/1224). Let n(v) be the first derivative of 15/2*v**4 - 50/3*v**q - 105/2*v**2 - 45*v - 5/6*v**6 + 3*v**5 + 3. Factor n(y).
-5*(y - 3)**2*(y + 1)**3
Let s = 25997/2 - 13464. Let f = 468 + s. Factor f - x**2 - 9/2*x.
-(x + 5)*(2*x - 1)/2
Let j = 175011/5 - 35002. Factor 13/5*h - j*h**3 + 0 - 12/5*h**2.
-h*(h - 1)*(h + 13)/5
Let u be 26/(-28) - 2380/(-1666). Factor -u - 3/4*z - 1/4*z**2.
-(z + 1)*(z + 2)/4
Let h = -225002909/390 + 576931. Let b = 37/30 - h. Factor 0 + 56/13*o**2 - 44/13*o**3 + b*o**4 - 16/13*o.
2*o*(o - 2)**2*(5*o - 2)/13
Let i(r) = 5*r - r - r**2 - 5*r. Let q(c) = c**2 - 2*c - 21*c**2 - 2*c - 6*c. Let d(w) = 15*i(w) - q(w). Find o, given that d(o) = 0.
0, 1
Let p be 320/(-150)*-66*-10. Let f be (10/(-4))/(1320/p). Solve -6*q - 4/3 - f*q**2 = 0 for q.
-2, -1/4
Let m = -27263/24 + 1136. Let j(u) be the first derivative of -m*u**3 + 1/8*u**2 - 1/8*u**5 - 1/4*u**4 + 3 + 0*u. Find k such that j(k) = 0.
-1, 0, 2/5
Let a be 2/(-14) + 388*(-4)/112. Let c be (-74)/a + -6 - -1. Factor 6/7*b + c*b**5 - 8/7*b**3 + 0*b**4 - 4/7*b**2 + 4/7.
2*(b - 2)*(b - 1)*(b + 1)**3/7
Let o(h) be the first derivative of h**6/2 - 51*h**5/5 + 279*h**4/4 - 175*h**3 + 147*h**2 - 82. Factor o(b).
3*b*(b - 7)**2*(b - 2)*(b - 1)
Let a(i) be the second derivative of -1/60*i**5 + 22*i - 1/180*i**6 + 8 + 0*i**2 + 35/72*i**4 + 0*i**3. Factor a(w).
-w**2*(w - 5)*(w + 7)/6
Let a(d) be the first derivative of -3 - 121/5*d - 166/15*d**3 - 6/5*d**4 - 132/5*d**2 - 1/25*d**5. Factor a(r).
-(r + 1)**2*(r + 11)**2/5
Find r, given that 11/4 + 15/4*r**5 - 181/4*r**4 + 81/2*r**3 - 177/4*r + 85/2*r**2 = 0.
-1, 1/15, 1, 11
Let u(z) be the first derivative of -5/2*z**2 - 2*z - 104 - 25/24*z**3 + 5/32*z**4 - 1/48*z**6 + 1/8*z**5. Factor u(x).
-(x - 4)**2*(x + 1)**3/8
Let r = 1 - -1. Let v be -584 + 596 + (-14)/20*17. Suppose 1/5*m + 0 + 1/10*m**r - v*m**3 = 0. What is m?
-1, 0, 2
Let u be (-3 - 2) + 9 + (35 - -5). Let u*o**2 - 2*o**2 - 5 - 3*o**2 - 38*o**2 + 4*o = 0. What is o?
-5, 1
Let s(b) be the third derivative of 2*b**7/315 + 13*b**6/60 + 26*b**5/45 - b**4 - 3355*b**2. Find j such that s(j) = 0.
-18, -2, 0, 1/2
Factor 16938*p**2 + 2078 + 458 + 2546 - 5079*p - 16941*p**2.
-3*(p - 1)*(p + 1694)
Let o(v) be the third derivative of v**5/105 + 16*v**4/21 + 494*v**3/21 - 55*v**2 + 15. Determine i, given that o(i) = 0.
-19, -13
Let s(w) be the first derivative of -w**5/30 - 29*w**4/24 - 37*w**3/9 + 29*w**2/3 + 52*w + 8796. Determine t, given that s(t) = 0.
-26, -3, -2, 2
Let x(t) be the first derivative of 4*t**5/5 + 16*t**4 + 220*t**3/3 - 288*t**2 - 2304*t + 8407. Factor x(g).
4*(g - 3)*(g + 3)*(g + 8)**2
Let n = 39 - 39. Let j be 3/15 - (n + 213/(-135)). Factor 4/9*v**2 + 2/9*v**3 - 8/9*v - j.
2*(v - 2)*(v + 2)**2/9
Let h(u) be the first derivative of -32*u**5/45 - 40*u**4/9 + 7*u**3/3 - 4*u**2/9 + 49*u - 80. Let w(b) be the first derivative of h(b). Factor w(s).
-2*(s + 4)*(8*s - 1)**2/9
Let u be 88/(-10) + 2 - (-848 + 840). Factor -12/5*s**3 - 24/5*s**2 - 4*s - 2/5*s**4 - u.
-2*(s + 1)**3*(s + 3)/5
Let j = 323921/809765 - 3/161953. Solve 16/5*d + 24/5 + j*d**2 = 0 for d.
-6, -2
Let j(z) be the second derivative of -2/33*z**3 + 1/132*z**4 - 3*z**2 + 0 + 1/330*z**5 + 3*z. Let o(u) be the first derivative of j(u). Factor o(m).
2*(m - 1)*(m + 2)/11
Let y(q) = -q**2 + 6*q + 58. Let j be y(-5). What is b in 26*b + j - 26*b + 3*b**2 - 6*b**2 = 0?
-1, 1
Let m(y) be the third derivative of y**8/216 - 844*y**7/315 - 181*y**6/135 + 3213*y**2 + 1. Determine w so that m(w) = 0.
-2/7, 0, 362
Let w be 1*-5 + 11456/480 + -17. Let z(g) be the second derivative of -w*g**3 + 0 - 1/30*g**4 - 27*g - 196/5*g**2. Factor z(c).
-2*(c + 14)**2/5
Factor -u**3 + 754*u - 354*u**2 + 739*u - 1493*u.
-u**2*(u + 354)
Let l = 226 + -223. Let p(g) be the third derivative of -10*g**2 + 0 + 2/105*g**7 + 0*g + 0*g**l - 1/15*g**5 + 0*g**6 + 0*g**4. Factor p(w).
4*w**2*(w - 1)*(w + 1)
Let v(w) = -w**3 - 26*w**2 + w + 26. Let n be v(-26). Suppose