**6/9 + 4064*k**5/15 - 1223*k**4/6 - 1628*k**3/9 + 1565. Suppose b(h) = 0. Calculate h.
-407, -2/5, 0, 1
Let x(j) = -7*j**3 + j**2 - 25*j + 83. Let u(c) = -19*c**3 + 2*c**2 - 75*c + 247. Let k(b) = 4*u(b) - 11*x(b). Suppose k(q) = 0. What is q?
-5, 3, 5
Let r(q) = 22*q + 538. Let y be r(-28). Let d be y/(-18) + (-12)/9. Factor 2*k - 1/2*k**3 + 1/2*k**4 + 4 - d*k**2.
(k - 2)**2*(k + 1)*(k + 2)/2
Let z(n) = -9*n**2 - 54*n + 10. Let g be z(-6). Suppose 0 = -g*b + 33*b - 46. Find i such that -8*i**b + 37/3*i**3 + 4/3*i**5 + 4/3*i - 7*i**4 + 0 = 0.
0, 1/4, 1, 2
Factor -2*a**3 - 61/3*a**2 + 1/3*a**4 + 22*a + 0.
a*(a - 11)*(a - 1)*(a + 6)/3
Let u(x) be the second derivative of -x**5/20 + 13*x**4/8 + 25*x**2/2 - x - 15. Let k(d) be the first derivative of u(d). Let k(j) = 0. Calculate j.
0, 13
Suppose -14 + 22 = -2*g + 18. Let m(j) be the first derivative of -2/21*j**3 + 0*j + 0*j**2 - 1/7*j**4 - 2/35*j**g + 3. Suppose m(u) = 0. What is u?
-1, 0
Let t = 82347/10994 + 54/5497. What is f in 15/2*f**3 + 5/2*f**5 + 0 + t*f**4 + 0*f + 5/2*f**2 = 0?
-1, 0
Let s(t) = -519*t**3 + 228*t**3 + 292*t**3 - t - 1. Let p(j) = -3*j**4 + 16*j**3 - 27*j**2 + 2*j + 2. Let f = 3 + -2. Let k(c) = f*p(c) + 2*s(c). Factor k(o).
-3*o**2*(o - 3)**2
Let z(o) be the first derivative of o**5/70 + 4*o**4/21 + 20*o**3/21 + 16*o**2/7 + 88*o - 92. Let p(r) be the first derivative of z(r). What is b in p(b) = 0?
-4, -2
Let v(l) be the first derivative of -21*l**5/20 - 17*l**4/6 - 5*l**3/2 - l**2 + 13*l - 57. Let f(m) be the first derivative of v(m). Factor f(g).
-(g + 1)*(3*g + 1)*(7*g + 2)
Find a such that 830/11 + 832/11*a + 2/11*a**2 = 0.
-415, -1
Let a(w) = 2*w**3 + 14*w**2 - 19*w - 16. Let t be a(-8). Find x such that t*x**3 + 904*x - 881 - 204*x**2 + x**3 + 155 + 317*x = 0.
2/3, 11
Let m(p) be the second derivative of -97*p + 0*p**2 - 25/6*p**4 - 7/4*p**5 - 5/2*p**3 + 0. Factor m(o).
-5*o*(o + 1)*(7*o + 3)
Let h(o) = 3*o**3 + 4480*o**2 + 2223081*o + 368290447. Let u(j) = j**3 + 1493*j**2 + 741027*j + 122763481. Let b(m) = -2*h(m) + 7*u(m). Factor b(a).
(a + 497)**3
Let r(o) be the second derivative of 5*o**4/12 - 185*o**3/6 + 400*o**2 - 469*o. Factor r(s).
5*(s - 32)*(s - 5)
What is a in -3/4*a**2 - 1659/2*a - 917427/4 = 0?
-553
Factor 66/19*w**2 + 10/19*w**3 - 34/19*w - 42/19.
2*(w - 1)*(w + 7)*(5*w + 3)/19
Let w(j) be the second derivative of 0 - 57*j + 8/11*j**2 + 2/33*j**3 - 1/66*j**4. Factor w(d).
-2*(d - 4)*(d + 2)/11
Let y(x) be the second derivative of -x**7/42 - x**6/30 + 17*x**5/10 + 16*x**4/3 - 16*x**3 - 1525*x. Factor y(c).
-c*(c - 6)*(c - 1)*(c + 4)**2
Factor 5668*b**4 - 5671*b**4 - 1796667*b**2 + 40992*b**2 - 4590*b**3.
-3*b**2*(b + 765)**2
Let m(c) be the third derivative of 12167*c**6/40 - 6348*c**5/5 + 2208*c**4 - 2048*c**3 - 16*c**2 + 8. Solve m(w) = 0.
16/23
Let z(p) be the first derivative of 0*p - 19/6*p**4 + 22 - 190/27*p**3 - 1/27*p**6 - 26/45*p**5 - 50/9*p**2. Let z(q) = 0. Calculate q.
-5, -2, -1, 0
Let -45*a**2 - 17*a - 48 - 564*a**3 + 36*a - 7 + 86*a + 559*a**3 = 0. Calculate a.
-11, 1
Let u(i) be the first derivative of -i**6/180 - i**5/10 + i**3/3 - i**2/2 + 38. Let d(y) be the third derivative of u(y). Factor d(p).
-2*p*(p + 6)
Suppose 58*q - 1116 = -942. Let y(s) be the second derivative of 0 - 23*s + 1/72*s**4 - 1/18*s**q + 0*s**2. Suppose y(t) = 0. Calculate t.
0, 2
Suppose 102 = 6*g + 72. Suppose q - 2*n = 0, g*q + 4*n = 8*q. Factor -2/11*v - 2/11*v**2 + q.
-2*v*(v + 1)/11
Let t be (-656)/(-168)*1 - (-1 + 38/42). Let j(k) be the second derivative of -1/130*k**5 + 6/13*k**2 - 1/39*k**3 - 2/39*k**t + 0 + 37*k. Factor j(r).
-2*(r - 1)*(r + 2)*(r + 3)/13
Let j = 458 - 400. Let o be (-500)/(-90) + (j/(-18) - -3). Let -8/3*y + 1/3*y**2 + o = 0. What is y?
4
Let n = -46 + 46. Suppose 9*t - 38 = -10*t. Factor -2/7*j**4 + n + 0*j**t + 0*j**3 + 0*j.
-2*j**4/7
Let y(r) be the third derivative of 150*r**2 - 7/3*r**3 + 7/30*r**5 - 1/12*r**4 + 1/60*r**6 + 0 + 0*r. Factor y(f).
2*(f - 1)*(f + 1)*(f + 7)
Suppose w + 270 = -3*d, 2*d + 8 = -2. Let y be 3 - (w/136)/((-6)/8). Let -3/4 + 5/4*u + 5/4*u**2 - y*u**4 - 5/4*u**3 = 0. Calculate u.
-3, -1, 1/2, 1
Let i(w) be the second derivative of w**6/40 - 21*w**5/80 + w**4/16 + 27*w**3/8 + 27*w**2/4 - 454*w + 1. Let i(j) = 0. Calculate j.
-1, 3, 6
Determine x so that 544/7*x - 4/7*x**2 + 1668/7 = 0.
-3, 139
Let c(z) be the third derivative of -z**7/945 + 623*z**6/540 - 2392*z**5/5 + 2217280*z**4/27 + 8998912*z**3/27 + 113*z**2 + 3*z. Factor c(i).
-2*(i - 208)**3*(i + 1)/9
Let x(n) = -11*n**2 - 3244*n + 3385. Let u(c) = -52*c**2 - 16220*c + 16896. Let k(h) = -5*u(h) + 24*x(h). Solve k(g) = 0 for g.
1, 810
Let v(z) = 82*z + 18. Let y be v(1). Let b be y/(-90)*(-9)/15. Find t, given that 16/3*t**2 + b*t**3 + 32/3*t + 0 = 0.
-4, 0
Let j(u) be the second derivative of u**7/21 + 428*u**6/15 + 30242*u**5/5 + 456480*u**4 - 3898368*u**3 + 11943936*u**2 + 17*u - 17. Factor j(v).
2*(v - 2)**2*(v + 144)**3
Find d, given that 4/5*d + 3*d**3 + 1/5*d**5 + 0 + 13/5*d**2 + 7/5*d**4 = 0.
-4, -1, 0
Let v(m) = -11*m - 53. Let b be v(-5). Factor -13*j**3 + 15*j**3 - 46*j - 24*j**b + 10*j - 5*j**3.
-3*j*(j + 2)*(j + 6)
Let s(o) be the first derivative of -o**5/18 - o**4/27 + 5*o**3/3 + 2*o**2 + 72*o + 112. Let f(u) be the first derivative of s(u). Factor f(r).
-2*(r - 3)*(r + 3)*(5*r + 2)/9
Factor -48/5*q - 2/5*q**3 + 8 + 18/5*q**2.
-2*(q - 5)*(q - 2)**2/5
Let i = -17 + 22. Suppose 6 = -i*s + 36. Factor -5*b**4 - 5*b**2 + 0*b**3 - 4*b**2 - 15*b**3 - s*b**2 - 5*b.
-5*b*(b + 1)**3
Let m(z) be the first derivative of -z**6/1080 - z**5/45 - z**4/6 + 34*z**3 - 64. Let p(v) be the third derivative of m(v). Factor p(a).
-(a + 2)*(a + 6)/3
Suppose 2/11*q**3 + 8*q - 64/11 - 26/11*q**2 = 0. What is q?
1, 4, 8
Let h(c) be the second derivative of 0*c**2 - 4/33*c**4 + 0*c**3 - 1/231*c**7 - 2/55*c**6 - 6/55*c**5 + 0 - 10*c. What is t in h(t) = 0?
-2, 0
Determine x, given that 67 - 409*x**4 + 41 + 530*x**2 - 841*x + 303*x - 12*x**5 + 550*x**3 - 229*x**4 = 0.
-54, -1, 1/3, 1/2, 1
Let g(a) be the second derivative of a**6/150 - 117*a**5/100 + 74*a**4 - 4960*a**3/3 - 19200*a**2 - 10789*a. Factor g(m).
(m - 40)**3*(m + 3)/5
Factor 15*c**2 - 79*c**3 - 78*c**3 - 2*c + 5 + 52*c - 26*c + 153*c**3.
-(c - 5)*(c + 1)*(4*c + 1)
Let m = 1515/98 + -2977/294. Suppose -4*u**3 + 0 + 4/3*u**4 + m*u + 0*u**2 = 0. What is u?
-1, 0, 2
Let w(c) be the third derivative of 0*c + 1/2352*c**8 + 2*c**2 + 37 - 5/168*c**4 - 1/210*c**5 + 2/735*c**7 - 1/21*c**3 + 1/210*c**6. Factor w(i).
(i - 1)*(i + 1)**3*(i + 2)/7
Let u(i) be the third derivative of -i**8/560 - i**7/175 + i**6/100 + i**5/25 - i**4/40 - i**3/5 - 2*i**2 - 1752. Let u(z) = 0. What is z?
-2, -1, 1
Factor 1/3*c**5 + 11/3*c**3 + 0 - 5/3*c**2 - 7/3*c**4 + 0*c.
c**2*(c - 5)*(c - 1)**2/3
Let c(p) = -3*p**4 + 3*p**3 - 11*p**2 - 50*p + 31. Let b(a) = -5*a**4 + 9*a**3 - 21*a**2 - 100*a + 63. Let f(i) = 5*b(i) - 9*c(i). Factor f(x).
2*(x - 1)**2*(x + 2)*(x + 9)
Factor t + 2 - 1/4*t**3 - 1/2*t**2.
-(t - 2)*(t + 2)**2/4
Let a(b) be the second derivative of b**4/36 + 709*b**3/9 + 502681*b**2/6 - 448*b. Factor a(t).
(t + 709)**2/3
Suppose 4*a = 6*k - 18, 59*k - 57*k - 6 = -5*a. Let g(x) be the first derivative of -1/7*x**4 + 0*x + 8/21*x**k - 12 + 0*x**2 - 12/35*x**5. Factor g(z).
-4*z**2*(z + 1)*(3*z - 2)/7
Let j(q) be the second derivative of 0 + 0*q**2 + 0*q**3 + 1/10*q**6 + 31*q - 9/20*q**5 - q**4. Factor j(y).
3*y**2*(y - 4)*(y + 1)
Let g(l) be the third derivative of l**7/105 - 17*l**6/10 - l**5/10 + 76*l**4/3 + 68*l**3 + l**2 - 124*l. Factor g(b).
2*(b - 102)*(b - 2)*(b + 1)**2
Suppose -22*x - 5*n = -21*x + 151, -5*x - 665 = -5*n. Let h = x + 140. Factor 0*o + 3/2 + 3/2*o**h + 0*o**3 - 3*o**2.
3*(o - 1)**2*(o + 1)**2/2
Let h = 3390 - 2366. Solve h*b + 4*b**3 + 13*b**2 - 16*b**2 - 125*b**2 = 0.
0, 16
Let i be (-1)/(7/10)*-14. Suppose -29*p - i*p = 0. Determine j, given that 1/8*j**3 + 0*j + p*j**4 - 1/8*j**5 + 0*j**2 + 0 = 0.
-1, 0, 1
What is h in -185/2*h - 18*h**2 - 75 - 1/2*h**3 = 0?
-30, -5, -1
Let v be ((-2295)/54 + 43)/((-1)/(-8)). Suppose 2*y**2 - 1/2*y + 1/2*y**3 + 0 - 2*y**v = 0. Calculate y.
-1, 0, 1/4, 1
Let k = 18 - 14. Suppose 2*f - 6 = -k*r + 38, -2*f + 8 = r. Let 6*g**2 + 7*g**5 - 10 - 10*g**5 + 4 + r*g**3