Let b(z) be the second derivative of 9/4*z**3 - 45/8*z**4 - 87/40*z**5 + 3/20*z**6 + z + 33/2*z**2 + 0. Suppose b(x) = 0. Calculate x.
-1, 2/3, 11
Let o(c) = 17*c**3 - 2648*c**2 + 117212*c - 46468. Let w(m) = 69*m**3 - 10593*m**2 + 468846*m - 185874. Let u(z) = 9*o(z) - 2*w(z). Factor u(f).
3*(f - 88)**2*(5*f - 2)
Let j(i) be the third derivative of i**5/20 + 21*i**4/8 + 54*i**3 - 4*i**2 - 311*i - 1. Factor j(h).
3*(h + 9)*(h + 12)
Let x(u) be the third derivative of u**6/840 - 5*u**5/84 - 2*u**4/3 - 58*u**3/21 - 1036*u**2 - 2*u + 2. Factor x(c).
(c - 29)*(c + 2)**2/7
Let l(b) = 12*b - 3. Let p be l(9). Suppose -125 = -5*c + p. Factor 79*f**4 + 3*f**2 + f**2 - 2*f**3 - 35*f**4 - c*f**4.
-2*f**2*(f - 1)*(f + 2)
Let k(j) be the third derivative of 0*j**3 + 1/40*j**4 - 1/560*j**8 + 0 + 52*j**2 + 0*j**6 + 0*j - 1/50*j**5 + 1/175*j**7. Solve k(g) = 0 for g.
-1, 0, 1
Let p(q) be the second derivative of 0*q**2 - 5/6*q**4 + 98 - 1/20*q**5 + 11/6*q**3 - q. Let p(j) = 0. Calculate j.
-11, 0, 1
Let v(a) be the first derivative of -a**4/2 - 61*a**3/3 + 16*a**2 + 31*a + 275. Solve v(i) = 0.
-31, -1/2, 1
Let m(n) be the third derivative of 0*n**5 + 0 - 1/12*n**4 + 0*n**3 + 9*n**2 + 0*n + 1/60*n**6. Factor m(o).
2*o*(o - 1)*(o + 1)
Let b = 10235/509301 - 2/13059. Let q = 23407/351 - b. Let -40/3*p - 2/3*p**2 - q = 0. What is p?
-10
Solve -u**2 - 29*u**3 + 3*u**5 - 19*u**3 + 9*u**4 - 18*u**2 - 125*u**2 = 0 for u.
-4, -3, 0, 4
Let d(i) = -i**3 + 25*i**2 - 21*i - 68. Let f be d(24). Suppose -23 - 19 - 3*c**f - 15*c - 9*c**2 + 54*c**2 + 14*c**3 + c**3 = 0. What is c?
-2, -1, 1, 7
Let t(v) be the second derivative of -v**6/600 - 19*v**5/100 - 361*v**4/40 - v**3/2 - 8*v**2 - 8*v - 9. Let j(k) be the second derivative of t(k). Factor j(h).
-3*(h + 19)**2/5
Let 2/11*i**3 + 206*i**2 + 642976/11*i + 640712/11 = 0. What is i?
-566, -1
Let n = 15780 - 1420193/90. Let l(s) be the second derivative of 14/15*s**2 + 33*s + 47/45*s**3 + 0 - n*s**4. Let l(z) = 0. What is z?
-2/7, 7
Let f(p) be the first derivative of -p**5 - 225*p**4/4 - 845*p**3/3 - 1035*p**2/2 - 410*p + 97. Factor f(x).
-5*(x + 1)**2*(x + 2)*(x + 41)
Let d(o) = -24*o**3 - 43*o**2 + 35*o + 20. Let w(z) = -7*z**3 - z**2 + 2*z + 2. Let t(s) = d(s) - 3*w(s). Factor t(h).
-(h - 1)*(h + 14)*(3*h + 1)
Let l(i) = -737*i**2 + 1468*i**2 - 733*i**2 - 14*i + 28. Let y(o) = -4*o**2 - 14*o + 30. Let f(g) = 6*l(g) - 4*y(g). Factor f(q).
4*(q - 4)*(q - 3)
Suppose -36 + 28 = -4*u. Determine x so that x**2 + 10*x**2 + 16 + 0*x**2 - u*x**2 - 10*x**2 = 0.
-4, 4
Let q(s) be the first derivative of 1/1080*s**6 - 1/180*s**5 + 16/3*s**3 + 8 + 1/72*s**4 + 0*s**2 + 0*s. Let b(o) be the third derivative of q(o). Factor b(j).
(j - 1)**2/3
Let c be (-200 - -212) + (-2)/6 + (-4775)/525. Factor c*w - 3/7*w**2 + 48/7.
-3*(w - 8)*(w + 2)/7
Let p be ((-18)/(-15)*64)/(90/(-288)*(-252)/300). Factor -p + 128/7*m - 2/7*m**2.
-2*(m - 32)**2/7
Let y(n) = -2791*n + 625184. Let j be y(224). Find p, given that 0 - 5/6*p**4 + j*p + 35/6*p**3 + 0*p**2 = 0.
0, 7
Let i(p) be the second derivative of 1/4*p**4 + 0*p**2 + 0 + 3*p**3 + 1/10*p**6 - 3/5*p**5 - 186*p. Factor i(k).
3*k*(k - 3)*(k - 2)*(k + 1)
Let c = 878 - -377. What is j in -c*j**2 + 620*j**2 + 12*j**3 - 4*j**5 + 627*j**2 = 0?
-2, 0, 1
Suppose 4*l - 36 = -0*r - r, -4*l = -3*r - 52. Suppose -3*p = d - 6*d - l, p + d = 6. Find k such that 0*k + 0 + 2/3*k**3 + 1/3*k**p + 0*k**2 - k**4 = 0.
0, 1, 2
Let a(n) be the second derivative of n**6/15 + 37*n**5/40 + 35*n**4/8 + 22*n**3/3 + 4*n**2 + 4*n - 56. Solve a(d) = 0 for d.
-4, -1, -1/4
Let p = -15 - -19. Factor -450*k**2 - 180*k**2 - 280 - 134*k**3 - 940*k + 69*k**3 + 25*k**p.
5*(k - 7)*(k + 2)**2*(5*k + 2)
Let a(n) be the first derivative of -3/4*n**4 - 156 + 3/2*n**2 - 11/7*n**3 - 3/35*n**5 + 36/7*n. Suppose a(h) = 0. Calculate h.
-4, -3, -1, 1
Suppose -131 - 22 = 3*k. Let o = k + 60. Factor -s + 2 - o - 9 - 4*s**2 + 17*s.
-4*(s - 2)**2
Suppose -297 = -186*q + 175 - 100. Factor -1/2*b**q - 6 - 13/2*b.
-(b + 1)*(b + 12)/2
Suppose 5*y + 0*j = 5*j + 1395, 2*j = -3*y + 817. Let g be (55/y)/((-19)/(-9) - 2). Determine q so that 0 + g*q + 3/5*q**3 - 12/5*q**2 = 0.
0, 1, 3
Let x(j) = -11*j**3 + 177*j**2 - 5046*j + 48781. Let r(w) = -14*w**3 + 178*w**2 - 5046*w + 48782. Let q(b) = -3*r(b) + 4*x(b). Determine l, given that q(l) = 0.
29
Let v(g) be the first derivative of g**4/26 - 2218*g**3/39 - 73. Factor v(i).
2*i**2*(i - 1109)/13
Let m be (20/(-6))/((-9)/(-324)*-8). Let 494 - m*b + 111 - 76 + 12*b - 43*b + b**2 = 0. Calculate b.
23
Suppose -2*a + 2*n = 2132, -3 - 3 = 2*n. Let q = 5357/5 + a. Factor 2/5*c**3 - 22/5*c - 8/5*c**2 - q.
2*(c - 6)*(c + 1)**2/5
Suppose -3*s + 0*s + 5 = -2*a, 5*s - 7 = 4*a. Suppose s*t - 3 = 2*t. Solve -6*j - 47*j**t - 2*j + 4*j + 51*j**3 + 8 - 8*j**2 = 0.
-1, 1, 2
Let a = -13813 + 13817. Let p(o) be the first derivative of 10*o**3 + 1000*o - 1/4*o**a - 150*o**2 + 32. Factor p(t).
-(t - 10)**3
Suppose -2*f = -f - 1, 8*h - 10*h = -4*f. Factor 605/4 - 5/4*b**5 + 1075/2*b**h - 1925/4*b + 125/4*b**4 - 475/2*b**3.
-5*(b - 11)**2*(b - 1)**3/4
Suppose 16*j = 10*j + 276. Suppose 71 + j = 39*l. Factor -2/3*b + 0 - 2/3*b**l + 4/3*b**2.
-2*b*(b - 1)**2/3
Suppose 0 = -4*s - 464*s - 203*s. Determine h so that s + 3/7*h**3 + 18/7*h - 3*h**2 = 0.
0, 1, 6
Determine o, given that -121 + 1/2*o**2 - 119/2*o = 0.
-2, 121
Let y be 1*-2*(44/(-8) - -5). Let k be ((-21)/6 + y)*28/(-35). Solve -28*n + 4*n**5 + 24*n + 8*n**4 + n**k - 9*n**2 = 0.
-1, 0, 1
Let v(d) be the third derivative of d**7/1050 + d**6/150 - d**5/25 - 2011*d**2. Solve v(k) = 0 for k.
-6, 0, 2
Let y(t) be the third derivative of 2*t**7/105 - 16*t**6/5 + 2398*t**5/15 - 752*t**4 + 4418*t**3/3 + 1229*t**2. Find d such that y(d) = 0.
1, 47
Let c be ((-43)/(-21) + -2)/((-7)/(-336)*1). Solve -12/7*t**3 - 16/7 - c*t**4 + 48/7*t + 68/7*t**2 = 0 for t.
-2, -1, 1/4, 2
Let x(w) be the second derivative of -w**7/28 - w**6/20 + 27*w**5/20 - 7*w**4/4 - 17*w**3/4 + 45*w**2/4 - 184*w - 1. Let x(b) = 0. What is b?
-5, -1, 1, 3
Suppose -22 = -2*f - 3*y, 7 = 4*f + 5*y - 41. Factor 26*o + 2*o**3 + 12 + 0 - 23*o - f*o.
2*(o - 2)*(o - 1)*(o + 3)
Factor 7*l**3 - 5*l**3 - 93*l**2 - 16*l**3 + 9*l**3 + 93 - 3*l + 8*l**3.
3*(l - 31)*(l - 1)*(l + 1)
Suppose -393*j = -389*j. Suppose j = -3*k + 2*d - 4, 4*k - 21 = -5*d + 12. Determine f so that -4/7 - 2/7*f**k + 6/7*f = 0.
1, 2
Let c be 3/8 + (3 - 1652/(-32)). Let 2*t + 5*t**3 + c*t**2 + 45*t + 3*t = 0. Calculate t.
-10, -1, 0
Let d(f) be the third derivative of 1/120*f**5 - 3/2*f**3 + 0 + 17/48*f**4 + 0*f - 93*f**2. Let d(v) = 0. Calculate v.
-18, 1
Let i = 51 - 254/5. Let t = 24206/5 + -4841. Factor t - i*p - 2/5*p**2.
-(p + 1)*(2*p - 1)/5
Let x(o) be the first derivative of o**4/14 - 176*o**3/7 + 263*o**2/7 - 1879. Let x(r) = 0. Calculate r.
0, 1, 263
Let i(h) be the first derivative of 143/3*h**2 + 74 + 1/6*h**4 - 338/3*h + 50/9*h**3. Factor i(u).
2*(u - 1)*(u + 13)**2/3
Let w be 14/(-8)*12/(-1). Suppose 2*g - r = -2*g + 18, -w = -3*g - 3*r. Let b(v) = -3*v**2 - 2. Let z(m) = -1. Let i(h) = g*z(h) - b(h). Factor i(j).
3*(j - 1)*(j + 1)
Let f(d) be the second derivative of 8*d**7/21 + 32*d**6/15 + 13*d**5/5 + d**4 - 2*d - 1198. Let f(w) = 0. Calculate w.
-3, -1/2, 0
Let u(l) be the second derivative of -8*l**2 + 2*l**3 + 0 - 27*l + 1/3*l**4. What is a in u(a) = 0?
-4, 1
Let m be (189/18)/(546/156). Find h such that -2/11*h**5 + 0 + 36/11*h**2 - 54/11*h - 4/11*h**4 + 24/11*h**m = 0.
-3, 0, 1, 3
Let i be 0 + 6 + 4 + -8*(-7)/(-7). Factor -2/9*f**i + 28/9*f + 0.
-2*f*(f - 14)/9
Suppose 3*r + 673 = -3*t + 661, t - r = 10. Let w(z) be the second derivative of 17*z - 16/3*z**t + 7/3*z**4 + 0 + 2*z**2. Factor w(b).
4*(b - 1)*(7*b - 1)
Suppose 4*m - 120 = m. Let o = m + -37. Solve 4*n**4 + 0*n**2 - 3*n**2 - 4*n**4 - n + n**o + 2 + n**4 = 0.
-2, -1, 1
Let i = -28797 - -28800. Let d(s) be the second derivative of -27*s - 5/33*s**i + 2/11*s**2 + 0 - 7/66*s**4. Factor d(l).
-2*(l + 1)*(7*l - 2)/11
Let v(w) = w**3 + 10*w**2 - w - 8. Let p = 30 + -40. Let q be v(p). Solve -4*u**2 + 6 - 7*u - u**q - 6 - 3 - u**3 = 0.
-3, -1
Let w = -841 + 841. Let n(x) be the second derivative of 14*x - 1/231*x**7 + w*x**2 + 0 + 0*x**4 - 1/110*x**5 + 0*x**3 - 2/165*x**6. Factor n(k).
-2