**3 + 39*i**2 + 21*i - 6. Let l(b) = 0*b**2 + 9*b**2 - 2*b**4 - 5 + b**3 + 6 + 9*b**2 - 17*b**2. Let g(j) = 6*l(j) + u(j). Factor g(m).
3*m*(m + 1)**2*(m + 7)
Let p(f) be the second derivative of 250*f**7/21 + 640*f**6/3 + 4661*f**5/4 + 17405*f**4/12 - 2*f + 277. Factor p(a).
5*a**2*(a + 1)*(10*a + 59)**2
Solve 57*f**2 - 18*f**2 - 18*f**3 + 66*f + 3*f**4 - 147*f + 45*f + 12 = 0.
1, 2
Let n(p) be the third derivative of p**6/2160 - 7*p**5/360 + p**4/6 + 16*p**3/3 - 49*p**2. Let q(r) be the first derivative of n(r). Find x such that q(x) = 0.
2, 12
Let z(d) be the first derivative of 25*d**6/18 + 7*d**5 - 23*d**4/6 - 220*d**3/9 + 28*d**2 - 32*d/3 - 6503. Solve z(h) = 0.
-4, -2, 2/5, 1
Let d(j) = 16*j + 84. Let v be d(-3). Let y be (-5)/(-15) - (-4)/v. Factor 0 - 8/9*p**3 + 0*p**2 - y*p**4 + 0*p.
-4*p**3*(p + 2)/9
Let r(v) be the first derivative of v**5/45 - v**4/9 - 16*v**3/9 - v**2 - v + 67. Let i(n) be the second derivative of r(n). Solve i(x) = 0 for x.
-2, 4
Factor -2870*y**3 - 3 + 5*y**5 + 7428866*y**4 - 7430291*y**4 + 3.
5*y**3*(y - 287)*(y + 2)
What is i in -207/8*i**2 + 3 + 7/4*i**4 + 153/8*i**3 - 161/4*i = 0?
-12, -1, 1/14, 2
Suppose -2*w = -2*t, 5 = -3*w + 11. Suppose t*a - 9 = -3*i, 0 = a + 2*a + 9. Find r, given that 2 - 48*r**2 - 5 - 3*r**3 + 44*r - r**3 + 16*r**4 - i = 0.
-2, 1/4, 1
Let j = -279 - -281. Factor 0*k**2 + j + 128 + 5*k**2 + 135*k.
5*(k + 1)*(k + 26)
Let m(q) be the third derivative of -1/6*q**6 + 4/5*q**5 + 0*q + 3/2*q**4 + 0 + 0*q**3 + 78*q**2. Factor m(y).
-4*y*(y - 3)*(5*y + 3)
Let o(u) be the first derivative of 148/9*u**3 + 484/15*u**5 + 4 + 24*u**2 + 16/3*u - 66*u**4. Factor o(w).
4*(w - 1)**2*(11*w + 2)**2/3
Let t(m) be the second derivative of -m**5/60 - 43*m**4/3 - 14792*m**3/3 - 2544224*m**2/3 + 98*m - 1. Let t(h) = 0. Calculate h.
-172
Let p(x) be the first derivative of -27*x**5/20 + x**4/4 - 3*x**2 - 14*x - 255. Let i(l) be the second derivative of p(l). Factor i(t).
-3*t*(27*t - 2)
Let f(m) = 10*m**3 + 20*m**2 - 2822*m + 920. Let u(r) = -7*r**3 - 13*r**2 + 1881*r - 614. Let h(x) = -5*f(x) - 8*u(x). Let h(o) = 0. Calculate o.
-13, 1/3, 12
Let p(g) be the second derivative of -g**5/160 - 7*g**4/96 + 181*g**3/48 + 187*g**2/16 + 34*g - 74. Suppose p(f) = 0. Calculate f.
-17, -1, 11
Let g(l) = -2*l**2 - 577*l - 10238. Let y be g(-19). Determine f so that 7776/7*f - 216/7*f**2 + 2/7*f**y - 93312/7 = 0.
36
Let z(k) be the first derivative of -k**4/6 - 1315*k**3/6 + 1481*k**2/6 + 329*k/2 + 3038. Let z(y) = 0. What is y?
-987, -1/4, 1
Let h = -377 + 381. Solve -158*b + 11 - 10 - 9*b**h - 22 - 7*b**4 - 257*b**2 + 24*b**3 + 128*b**3 = 0 for b.
-1/4, 3, 7
Determine m so that 810/7*m - 564/7*m**2 - 351/7 + 3/7*m**4 + 102/7*m**3 = 0.
-39, 1, 3
Let n = 25952 - 25950. Let v(l) be the second derivative of 37*l + 0*l**n - 1/54*l**4 + 1/9*l**3 + 0 - 1/30*l**5 + 1/135*l**6. Factor v(w).
2*w*(w - 3)*(w - 1)*(w + 1)/9
Let l = -1444 + 1769. Suppose -336*o + l*o + 44 = 0. Determine v so that -4/5*v + 6/5*v**2 + 0*v**3 + 0 - 2/5*v**o = 0.
-2, 0, 1
Let w(c) = -5*c**2 + 1409*c - 2832. Let l(b) = 35*b**2 - 9855*b + 19825. Let y(q) = -2*l(q) - 15*w(q). Suppose y(j) = 0. Calculate j.
2, 283
Let k(z) be the second derivative of 2*z**7/21 - 92*z**6/15 + 449*z**5/5 + 496*z**4/3 - 3833*z. Suppose k(f) = 0. Calculate f.
-1, 0, 16, 31
Determine d, given that -38/3*d**3 + 40/3*d + 8*d**4 + 0 - 2/3*d**5 - 8*d**2 = 0.
-1, 0, 1, 2, 10
Find d, given that -13*d + 448 - 42*d**2 + 7*d**2 - 23*d + 31*d**2 + 12*d = 0.
-14, 8
Suppose -166*g = 209*g. Let i(p) be the first derivative of g*p + 0*p**2 + 8/15*p**5 - 1/9*p**6 + 1/6*p**4 - 8/9*p**3 - 26. Determine m so that i(m) = 0.
-1, 0, 1, 4
Let l(w) = 3*w**2 + 79*w + 42. Let d(o) = -4*o**2 - 80*o - 41. Suppose y - 4 = b, -3 = -13*y + 16*y. Let u(k) = b*l(k) - 6*d(k). What is v in u(v) = 0?
-9, -4/9
Let b(n) = -n**2 + 5*n + 9. Let a(k) = -8*k - 11. Let w be a(-2). Let r be b(w). Factor g**3 - r*g**2 - 12*g**2 + 19*g**2.
g**2*(g - 2)
Let r(j) be the third derivative of -4 + 0*j + 25/6*j**4 + 0*j**3 + 2/3*j**5 + 1/30*j**6 - 2*j**2. Factor r(k).
4*k*(k + 5)**2
Let j = -343 - -347. Factor 148*p - 3*p**2 - j + 2*p**2 - 144*p.
-(p - 2)**2
Let x(q) be the third derivative of -q**5/330 - 19*q**4/33 + 4*q**2 + 774*q. Factor x(u).
-2*u*(u + 76)/11
Find j such that -55/6*j**3 - 1/6*j**5 - 26/3 + 17/6*j**4 + 28/3*j + 35/6*j**2 = 0.
-1, 1, 2, 13
Factor 0 - 2*b**2 - 1/2*b.
-b*(4*b + 1)/2
Let n = -12941 - -12945. Let k(j) be the second derivative of -4/39*j**3 + 32*j + 0 - 1/78*j**n - 4/13*j**2. Suppose k(o) = 0. What is o?
-2
Factor -87*h**3 + 75 + 132*h**2 + h**4 + 29*h + 117*h**3 + 149*h.
(h + 1)**2*(h + 3)*(h + 25)
Let j(b) = -7*b**4 - 252*b**3 - 5297*b**2 + 244*b + 5288. Let i(g) = 20*g**4 + 756*g**3 + 15889*g**2 - 734*g - 15865. Let y(c) = -4*i(c) - 11*j(c). Factor y(l).
-3*(l - 1)*(l + 1)*(l + 42)**2
Let o(y) be the third derivative of -y**6/24 - 3*y**5/2 - 135*y**4/8 - 596*y**2. Factor o(h).
-5*h*(h + 9)**2
Let o = 72892 + -72890. Factor 10/11 + 1/11*p**o + p.
(p + 1)*(p + 10)/11
Let q be ((-190)/912)/((-20)/16). Let y(s) be the second derivative of -3/80*s**5 - 1/8*s**3 + 5*s + 0 + 1/4*s**2 - q*s**4. Factor y(x).
-(x + 1)*(x + 2)*(3*x - 1)/4
Let u(l) be the third derivative of -1/6*l**4 - 1/240*l**5 + 0*l - 5/8*l**3 + 0 - 91*l**2. Solve u(n) = 0 for n.
-15, -1
Let q be (-486)/(-45)*(-135)/90 + 19. Factor 22/5*m - q*m**2 - 2 + 2/5*m**3.
2*(m - 5)*(m - 1)**2/5
Suppose 42/5 + 2/15*h**3 - 46/15*h**2 + 26/5*h = 0. Calculate h.
-1, 3, 21
Find r such that -1108*r**4 + 36 + 15*r + 1110*r**4 - 38*r**2 + r**5 - 12262*r**3 + 12246*r**3 = 0.
-3, -1, 1, 4
What is d in 20316156*d**3 - 108*d + 0 - 113*d**2 - 43*d**2 - 4*d**4 - 20316208*d**3 + 0 = 0?
-9, -3, -1, 0
Let s be (4 + 72/(-14))/(-43 - -37). Let q(g) be the second derivative of 0 - 1/21*g**4 + 14*g + s*g**3 + 0*g**2. Factor q(c).
-4*c*(c - 2)/7
Let x(y) be the second derivative of 784/5*y**2 + 1/30*y**4 - y + 29 - 56/15*y**3. Factor x(v).
2*(v - 28)**2/5
Factor 6900*y - 13500 + 230/3*y**3 - 5/3*y**4 - 3545/3*y**2.
-5*(y - 18)**2*(y - 5)**2/3
Let b(j) be the third derivative of j**6/360 - j**5/24 - j**4/4 - 3*j**3/2 + 22*j**2. Let a(k) be the first derivative of b(k). Factor a(q).
(q - 6)*(q + 1)
Suppose -3*w = -39 + 33. Solve -2414*j**2 + 2405*j**w + 14*j + 0*j + j**3 = 0.
0, 2, 7
Let v(y) be the second derivative of -y**7/231 - 2*y**6/11 - 313*y**5/110 - 20*y**4 - 176*y**3/3 - 390*y. Solve v(m) = 0 for m.
-11, -4, 0
Let a(k) be the second derivative of 15*k**7/14 + 95*k**6/2 + 89*k**5/2 - 635*k**4/6 - 935*k**3/6 - 155*k**2/2 + 2043*k - 2. Suppose a(p) = 0. Calculate p.
-31, -1, -1/3, 1
Let k(m) be the first derivative of 2*m**6/135 - m**5/9 - 2*m**4/9 + 87*m + 91. Let h(b) be the first derivative of k(b). Solve h(c) = 0 for c.
-1, 0, 6
Let l(p) be the second derivative of -p**6/240 + 23*p**5/80 - 11*p**4/8 - 61*p**3/6 - 46*p. Let w(j) be the second derivative of l(j). Factor w(c).
-3*(c - 22)*(c - 1)/2
Let p(f) be the third derivative of -4*f**7/105 - 503*f**6/30 - 252001*f**5/120 + 10563*f**4/4 - 1323*f**3 + f**2 - 5*f + 60. Determine r, given that p(r) = 0.
-126, 1/4
Let c be (-348)/9*(-12)/72. Let n = 82/9 - c. Solve -4*j + 82/3*j**2 - 7*j**5 - n - 20/3*j**4 + 29*j**3 = 0 for j.
-2, -1, -2/7, 1/3, 2
Let p(g) be the third derivative of g**8/2016 - g**7/180 + g**6/40 - g**5/18 + g**4/18 + 61*g**2. Find k such that p(k) = 0.
0, 1, 2
Suppose 14*n = 9*n + 2250. Solve -21*w**2 + n*w**4 - 459*w**4 + 30 + 51*w - 31*w**3 - 20*w**3 = 0.
-5, -1, -2/3, 1
Let o(r) be the second derivative of r**6/15 + 113*r**5/60 + 449*r**4/36 - 13*r**3/3 + 5415*r. Find d, given that o(d) = 0.
-13, -6, 0, 1/6
Let l(r) be the second derivative of -20*r**3 - 12*r - 1/4*r**4 - 600*r**2 + 5. Factor l(m).
-3*(m + 20)**2
Let a(g) be the second derivative of -g**10/6048 + g**8/112 - 2*g**7/63 - 49*g**4/12 + 91*g. Let n(s) be the third derivative of a(s). Factor n(c).
-5*c**2*(c - 2)**2*(c + 4)
Suppose 3*w + 30 = 3*h, 0 = 33*h - 31*h - w - 15. Let x(u) be the second derivative of -1/3*u**2 + 0 + 1/9*u**3 + 1/18*u**4 + 9*u - 1/30*u**h. Factor x(g).
-2*(g - 1)**2*(g + 1)/3
Let q = 277 + -275. Factor -5*n**2 + n - 4*n**3 - 4*n**2 + 5*n**3 + 7*n**q.
n*(n - 1)**2
Factor -117*s**2 - 30*s**2 + 128*s*