 + 101. Let j be a(-3). Let c(t) be the second derivative of -4*t**j + 0 - 8/3*t**3 - 5/6*t**4 + 17*t - 1/10*t**5. Factor c(s).
-2*(s + 1)*(s + 2)**2
Let x = -15956/7 + 16004/7. Suppose 51/7 - 3/7*d**2 - x*d = 0. What is d?
-17, 1
Let v(l) be the second derivative of -l**4/4 + 25*l**3 - 864*l**2 - 4*l - 145. Suppose v(i) = 0. Calculate i.
18, 32
Let g(s) be the second derivative of -s**5/35 + 155*s**4/42 + 1283*s**3/21 - 680*s**2/7 + 130*s - 16. Let g(l) = 0. What is l?
-8, 1/2, 85
Let y be (133/399)/((-3)/(-36)). Let w(a) be the first derivative of 1/2*a**6 + 0*a**2 + 48/35*a**5 + 0*a + 8 + 3/7*a**y + 0*a**3. Let w(n) = 0. Calculate n.
-2, -2/7, 0
Let m be 406/87 - 2/3. Factor -d**4 + 83*d**3 + 12 + d**m - 3*d**5 + 60*d**2 + 45*d - 53*d**3.
-3*(d - 4)*(d + 1)**4
Find y, given that 0*y**3 + 1/11*y**4 - 18/11*y - 8/11 - y**2 = 0.
-2, -1, 4
Let k be 24/((-1152)/120)*1*(-24)/15. Suppose 3*u + 0*u = -2*i - 6, 5*u = 5*i - 10. What is l in 1/7*l**k + l**3 + i*l + 0 + 0*l**2 = 0?
-7, 0
Suppose 0 = 17*u - 54*u + 74. Let q be 880/(-77) + 13 + u/(-2). Factor 0*n + 0 - q*n**2 + 2/7*n**3.
2*n**2*(n - 2)/7
Let -86/13*l**4 - 6 - 476/13*l**2 - 314/13*l - 2/13*l**5 - 324/13*l**3 = 0. What is l?
-39, -1
Let k = 4557947/7 + -651053. Let k + 32/7*y**3 + 4/7*y**4 - 384/7*y - 32/7*y**2 = 0. What is y?
-6, 2
Let p(c) be the third derivative of -c**8/3192 - 61*c**7/399 - 303*c**6/380 - 907*c**5/570 - 151*c**4/114 + c**2 + 292*c - 6. Let p(n) = 0. What is n?
-302, -1, 0
What is x in -85/4 + 64*x + 22*x**3 - 129/2*x**2 - 1/4*x**4 = 0?
1, 85
Let f = 484 - 482. Let 900 + 1929*x**f + 40*x**4 + 9718*x**3 + 35*x**4 + 3*x**5 - 9097*x**3 + 2280*x = 0. Calculate x.
-10, -3, -1
What is c in -1956/7*c + 846/7 - 6/7*c**4 + 1368/7*c**2 - 36*c**3 = 0?
-47, 1, 3
Let g = -402/79 + 38055/632. Factor 21/4*v + 1/8*v**2 + g.
(v + 21)**2/8
Let v(w) = w**3 - 157*w**2 + 172*w. Let o(k) = k**3 + 2*k**2 + k. Let d(f) = -4*o(f) + v(f). Factor d(j).
-3*j*(j - 1)*(j + 56)
Let c(b) be the second derivative of -1/20*b**5 - 2/9*b**3 - 1/45*b**6 + 1/126*b**7 + 0*b**2 - 99*b + 2/9*b**4 + 0. Factor c(j).
j*(j - 2)*(j - 1)**2*(j + 2)/3
Let o be ((-649)/(-2))/((31 - 16)/(-90)). Let g be 4 + 1 - 3009/o. Factor -2/11*h**4 + 168/11*h - g - 122/11*h**2 + 28/11*h**3.
-2*(h - 6)**2*(h - 1)**2/11
Suppose -55*h + 9*h = 14*h. Let l(d) be the second derivative of 2*d + 2/3*d**3 + h*d**4 - 1/5*d**5 - 1/15*d**6 + d**2 - 5. Determine a so that l(a) = 0.
-1, 1
Let w be (65/(-52))/((5 + 1 + -1)*-1). Let t(y) be the first derivative of 1/8*y**4 - w*y**2 + 9 - 1/12*y**3 + 1/20*y**5 + 0*y. Solve t(q) = 0.
-2, -1, 0, 1
Let d be 4 + 4/(-2) + -2. Suppose 4*g = -4*u + 48, 0 = 3*g - d*u + 5*u - 40. Find w, given that 5*w**4 + g*w**3 + 12*w + w**2 - 21*w**2 - 52*w = 0.
-2, 0, 2
Let w(p) be the third derivative of -p**6/180 - 13*p**5/90 + 7*p**4/18 - 2*p**2 - 235*p + 14. What is j in w(j) = 0?
-14, 0, 1
Let d(l) = 2*l**3 + 6*l**2 - 22*l - 49. Let o be d(-2). Let v(j) be the first derivative of 95/3*j**3 + 65/4*j**4 + 55/2*j**2 + 10*j + 8 + o*j**5. Factor v(p).
5*(p + 1)**2*(p + 2)*(3*p + 1)
Let w(d) be the third derivative of 7/300*d**5 + 0*d**3 - 1/120*d**6 + 10*d**2 + 0*d - 1/40*d**4 + 0 + 1/1050*d**7. Find s such that w(s) = 0.
0, 1, 3
What is u in 750*u - 2880 + 5*u**3 + 398*u + 84*u - 32*u - 140*u**2 = 0?
4, 12
Let g(s) be the second derivative of -s**7/21 + 4*s**6/15 + 4*s**5/5 - 7*s**4/3 - 7*s**3/3 + 10*s**2 + s + 773. Find x such that g(x) = 0.
-2, -1, 1, 5
Let n(o) be the second derivative of o**4/4 - 206*o**3 + 1230*o**2 - 5650*o. Factor n(g).
3*(g - 410)*(g - 2)
Let h = -65160 + 847082/13. Factor 6/13*c**3 + 0 + h*c**4 - 18/13*c**2 + 10/13*c.
2*c*(c - 1)**2*(c + 5)/13
Factor 1/8*c**3 - 115/8*c**2 - 1176 + 434*c.
(c - 56)**2*(c - 3)/8
Suppose -13/5*c**2 + 1/5*c**3 + 112/5 + 26/5*c = 0. What is c?
-2, 7, 8
Let 26*t + 16*t - 243 - 179*t**4 + 18*t**3 + 92*t**4 + 90*t**4 - 204*t = 0. What is t?
-3, 3
Let 97536/5*n - 3/5*n**4 - 49152/5 - 47619/5*n**2 - 762/5*n**3 = 0. What is n?
-128, 1
Let n(z) be the second derivative of -z**7/14 - 69*z**6/10 - 918*z**5/5 - 289*z**4 + 1052*z. Factor n(j).
-3*j**2*(j + 1)*(j + 34)**2
Suppose 128/3*z + 0 - 4/3*z**3 + 56/3*z**2 = 0. What is z?
-2, 0, 16
Let w = -4 - -9. Suppose -2*x + 8 + 25 = -w*a, 4*x - 24 = -4*a. Let -5 + 0 - 5*y**2 - 1 + 2*y**2 - x*y = 0. What is y?
-2, -1
Let n(s) = 19*s - 185. Let w be n(11). Determine z so that -14*z**3 - 74*z + w - 58*z**2 - 32 + 10*z = 0.
-2, -1/7
Let x be (29 - 29)/(-2 - 3). Let b(n) be the second derivative of x - 1/80*n**5 - 17*n - 3/16*n**4 - 9/8*n**3 - 27/8*n**2. Factor b(w).
-(w + 3)**3/4
Let l be (2 - (3 - 4))*(-5)/(-3). Suppose -101*m**4 - 2400*m**2 + 45*m**l - 59*m**4 + 1125*m - 86*m**5 + 46*m**5 + 1430*m**3 = 0. Calculate m.
0, 1, 15
Let r(l) be the first derivative of l**6/72 + 7*l**5/8 - 55*l**4/12 + 70*l**3/3 + 111. Let f(z) be the third derivative of r(z). What is v in f(v) = 0?
-22, 1
Let n be (1*-2)/((-105)/(-27) - 4). Let t be (-10)/15 + (-41)/(-3). Find b, given that -n*b**3 + 10*b**2 + 5*b + t*b**3 - 10 + 0*b = 0.
-1, 1, 2
Let g(t) = 31*t**2 + 158*t - 165. Let r(j) = 83*j**2 + 475*j - 494. Let q(x) = 16*g(x) - 6*r(x). Determine h, given that q(h) = 0.
-162, 1
Let i(b) = -b**3 + 8*b**2 + b - 5. Let t be i(8). Suppose 37*n - 17*n - 2*n**t - 24*n + 6*n**2 = 0. Calculate n.
0, 1, 2
Let d = 935 + -930. Factor d*s**3 - 159*s**2 + 32*s**2 + 33*s**2 + 36*s**2 + 33*s**2.
5*s**2*(s - 5)
Let c = -2575 - -2615. Suppose m = -4*g + 159, -4*m + 25 = -2*g + 109. Find a such that -2*a**4 + 4*a**3 - c*a + g*a - 2*a**5 = 0.
-2, 0, 1
Factor 4*r**3 + 3*r**3 - 10 - 125*r**2 - 4*r**3 + 135*r**2 - 5*r + 2*r**3.
5*(r - 1)*(r + 1)*(r + 2)
Solve 229*s**2 - 60 + 10*s**5 - 642*s**4 - 116*s + 52*s**3 + 781*s**4 + 362*s**3 = 0 for s.
-10, -3, -1, -2/5, 1/2
Factor -24*z + 0 - 2/7*z**3 + 40/7*z**2.
-2*z*(z - 14)*(z - 6)/7
Let x = 2596 + -2594. Let a(f) be the second derivative of 2/3*f**6 + 0 + 2*f**x - 2*f + 5*f**4 - 13/3*f**3 - 29/10*f**5. Find i, given that a(i) = 0.
2/5, 1/2, 1
Suppose -365409*l - 88 = -365453*l. Let u = -7/15 - -2/3. What is h in -u*h**3 + 0 - 2/5*h - 3/5*h**l = 0?
-2, -1, 0
Solve 26/3*i**3 + 214/9*i**2 + 24*i + 8 + 8/9*i**4 = 0 for i.
-6, -2, -1, -3/4
Let t = 75001/112503 + 1/112503. Factor -10/3*m**2 + t*m**4 + 8/3 - 2*m + 2*m**3.
2*(m - 1)**2*(m + 1)*(m + 4)/3
Find i, given that -746/7*i + 2/7*i**3 - 374/7 - 370/7*i**2 = 0.
-1, 187
Let p be 1 + (-5)/((-90)/46) - 4/(-9). Let t(o) be the third derivative of -1/27*o**3 - 1/216*o**p + 0 + 0*o + 19*o**2 + 1/540*o**5. Solve t(l) = 0 for l.
-1, 2
Let o be 300/(-180)*(-4)/(-10)*-3. Let 276*q + 4*q**4 + 36*q**o - 268*q - 48*q**2 = 0. What is q?
-2, 0, 1
Suppose 25 = -3*l - 2*v, 7 + 8 = -4*l + v. Let o be (430/(-50) + 1)/(6/l). Factor m**2 - o*m - 14/3.
(m - 7)*(3*m + 2)/3
Let t(x) be the first derivative of x**8/448 - x**7/280 - x**6/80 - 45*x**2 - x + 44. Let a(q) be the second derivative of t(q). Suppose a(p) = 0. Calculate p.
-1, 0, 2
Let s be (-140)/(-40)*(-6)/(-7). What is l in -l**4 + l + 61*l**3 - 56 + 90*l**2 - 3*l**4 - 11*l**s - 81*l = 0?
-2, -1/2, 1, 14
Let p = 218903 + -218900. Find m, given that -44*m + 10285/8*m**4 + 3993/4*m**5 + 357*m**2 + 2 - 1232*m**p = 0.
-2, 1/6, 2/11
Factor -321 - 326 - 299 + 2*t**2 + 116*t + 706.
2*(t - 2)*(t + 60)
Let z(v) = -v**3 - v**2 - 2*v + 4. Let l be z(0). Let x be 1224/(-748)*(-33)/l. Factor 3/2 - x*a**3 + 9/2*a**2 + 15/2*a.
-3*(a - 1)*(3*a + 1)**2/2
Suppose 3*b - 100 = 7*b + 4*k, -b = 3*k + 33. Let s = 23 + b. Let 8/7*a + 6/7*a**s + 2/7 = 0. What is a?
-1, -1/3
Let a(x) = 5 - 32*x + x**2 + 5*x**3 + 13*x**2 - 4*x**3 - 1. Let w be a(-16). Factor 25*s**3 - 345*s + 23 + 115*s**2 - 113 + 125*s**w - 470*s**2.
5*(s - 2)*(s + 1)*(5*s + 3)**2
Let a = 117845 - 117842. Factor 0 + 0*n - 4/3*n**5 - 20/3*n**a + 16/3*n**4 + 8/3*n**2.
-4*n**2*(n - 2)*(n - 1)**2/3
Suppose 10 + 36 + 2 = 24*v. Let w(j) be the first derivative of 0*j**v + 0*j**3 + 0*j + 3/16*j**4 + 1/20*j**5 + 9. Factor w(q).
q**3*(q + 3)/4
Let m(x) be the third derivative of -x**10/7560 + x**9/756 - x**8/420 + x**4/12 - 10*x**3/3 + 40*x**2. Let v(t) be the second derivative of m(t). Factor v(s).
-4*s**3*(s - 4)*(s - 1)
Let a be ((-54324)/17010 - (-4)/18) + 3. Let y(o) be the first derivative of 