*3 - 295*o**2 - 152*o**5 + 95*o**4 = 0. Calculate o.
-2, -1, 1, 20
Let p(z) be the second derivative of -z**6/40 - z**5/4 - z**4/4 + 4*z**3 - 7*z**2/2 + 97*z. Let r(l) be the first derivative of p(l). Factor r(y).
-3*(y - 1)*(y + 2)*(y + 4)
Let l(i) be the third derivative of i**6/660 + 71*i**5/330 + 266*i**4/33 - 7220*i**3/33 + 372*i**2 + 4*i. Factor l(z).
2*(z - 5)*(z + 38)**2/11
Let y(v) be the first derivative of 0*v - 81 + 0*v**3 + 0*v**2 - 2/45*v**5 + 4/9*v**4. Factor y(x).
-2*x**3*(x - 8)/9
Let x(a) be the third derivative of a**9/5040 - 3*a**8/1120 + a**4/6 - 2*a**3/3 + 56*a**2. Let i(s) be the second derivative of x(s). Factor i(b).
3*b**3*(b - 6)
Suppose -14*o = -33*o + 836. Factor 14*y**4 + 0*y**5 + 8*y**3 - o*y**3 + 3*y**5 - 3*y**5 + 2*y**5.
2*y**3*(y - 2)*(y + 9)
Let y = -175 + 235. Suppose 2542*g**4 + 59*g**2 - 5*g**5 - 4*g**2 + y*g + 20 - 2557*g**4 + 5*g**3 = 0. Calculate g.
-2, -1, 2
Suppose p + 5*t + 7593 = -3*p, -4*p = t + 7589. Let i = 1899 + p. Suppose 8/3*g + 0 - 7/3*g**i - 1/3*g**3 = 0. What is g?
-8, 0, 1
Let h(g) be the first derivative of 27/2*g**2 + 243/2*g + 100 + 1/2*g**3. Factor h(s).
3*(s + 9)**2/2
Factor -142*t + 725*t**3 - 36*t**2 - 211 - 727*t**3 + 55.
-2*(t + 2)*(t + 3)*(t + 13)
Solve -2*l**4 + 58/5*l**2 + 6/5*l**3 - 4/5*l - 2/5*l**5 - 48/5 = 0.
-4, -3, -1, 1, 2
Factor -94/3*g**2 + 0*g + 0 + 2/3*g**3.
2*g**2*(g - 47)/3
Let q(x) = -5*x**3 - 370*x**2 + 4664*x + 11. Let o(k) = -k**3 - 74*k**2 + 933*k + 2. Let m(y) = -33*o(y) + 6*q(y). Factor m(g).
3*g*(g - 11)*(g + 85)
Let k(d) be the first derivative of d**5/160 - d**4/8 + 15*d**3/16 - 27*d**2/8 + 29*d - 7. Let h(t) be the first derivative of k(t). Let h(x) = 0. What is x?
3, 6
Let -2/7*n**2 + 114 - 4/7*n = 0. What is n?
-21, 19
Let d(r) be the first derivative of 29/5*r**2 + 841/5*r + 2 + 1/15*r**3. Factor d(l).
(l + 29)**2/5
Suppose -9*t = -36 - 9. Suppose 1 = -i - 1, t*i - 305 = -5*f. Find q, given that 4*q**2 - 8*q**3 - f + 63 + 4*q**4 = 0.
0, 1
Let n(z) = 10*z**3 - 3882*z**2 - 7772*z - 3891. Let c(k) = -5*k**3 + 1942*k**2 + 3887*k + 1946. Let b(g) = -11*c(g) - 6*n(g). What is x in b(x) = 0?
-1, 388
Let t(u) be the third derivative of u**7/3780 + u**6/162 + 5*u**5/108 - 47*u**3/6 - 68*u**2. Let k(o) be the first derivative of t(o). Let k(n) = 0. What is n?
-5, 0
Let t(o) = 17*o**3 + o**2 + o + 3. Let b be t(2). Let m = -18 - -53. Solve 45*y**4 - 29 - b*y**3 + 195*y**2 - 90*y - 5*y**5 + 64 - m = 0 for y.
0, 1, 2, 3
Let g(q) be the third derivative of q**5/390 + 46*q**4/3 + 110032*q**3/3 - 5907*q**2. Factor g(y).
2*(y + 1196)**2/13
Suppose -7*t + 9*t = -5*w + 30, 12 = -4*w + 2*t. Let -6/5*c**w + 0 + 2/5*c**3 - 8/5*c = 0. What is c?
-1, 0, 4
Let z(a) be the first derivative of -119 - 1/16*a**4 + 0*a**3 + 1/8*a**2 + 0*a. Determine g so that z(g) = 0.
-1, 0, 1
Let q be (-70)/(-21) - (-25)/15. Let r be (10/44*14)/((-78)/(-143)). Factor 0 + 2/3*n + 33/2*n**3 - r*n**2 - 27/2*n**4 - 9/2*n**q.
-n*(n + 4)*(3*n - 1)**3/6
Let i(k) be the first derivative of 3*k**5/5 - 9*k**4 + 35*k**3 + 18*k**2 - 108*k - 13005. Factor i(a).
3*(a - 6)**2*(a - 1)*(a + 1)
Find m such that 75076*m + 7*m**4 - 544*m**3 + 21497*m**2 - 5*m**4 + 14945*m**2 = 0.
-2, 0, 137
Determine u so that 32368 + 3564*u**2 - 120*u**3 - 107440/3*u + 4/3*u**4 = 0.
1, 21, 34
Let h(b) be the third derivative of b**5/90 - 14*b**4/3 + 1280*b**3/9 - 22*b**2 - 2*b + 3. Find d such that h(d) = 0.
8, 160
Determine s, given that 5671*s - 5736*s + 5*s**2 - 28 + 2 - 32 - 12 = 0.
-1, 14
Let w be 2/(-11)*31108/(-672)*8. Suppose 32 - w*n**3 + 560/3*n + 6*n**5 - 26*n**4 + 758/3*n**2 = 0. What is n?
-3, -1/3, 4
Let h be 2/6*(-8 + (-712)/(-80)). Let g(z) be the second derivative of 0*z**3 + z + 0*z**2 - 1/3*z**4 + h*z**5 - 1/15*z**6 + 0. Let g(j) = 0. What is j?
0, 1, 2
Let k(d) be the third derivative of d**7/1260 - d**6/540 - d**5/20 + d**4/4 - 7*d**3/2 - 44*d**2. Let g(u) be the first derivative of k(u). Factor g(h).
2*(h - 3)*(h - 1)*(h + 3)/3
Let b = 11941/154 - 1687/22. Let -2/7*d**5 - 8/7*d**4 - b*d**3 + 0*d**2 + 0*d + 0 = 0. Calculate d.
-3, -1, 0
Suppose -30*h + 25*h = -2*o - 127, 2*h = o + 62. Let q = o - -281/5. Suppose 2/5 - 1/5*j**4 + 3/5*j**2 + j - q*j**3 = 0. What is j?
-1, 2
Let i(s) = -s**3 + 51*s**2 - 51*s - 600. Let r(b) = 10*b**2 - 10*b - 112. Let d(g) = -2*i(g) + 11*r(g). Factor d(c).
2*(c - 2)*(c + 2)*(c + 4)
Let f(b) be the second derivative of 5*b**7/231 - 9*b**6/220 + b**5/165 - 2*b**2 - 2*b - 71. Let c(w) be the first derivative of f(w). Factor c(y).
2*y**2*(y - 1)*(25*y - 2)/11
Let a(b) = -9*b**3 - 206*b**2 - 1416*b. Let q(v) = 75*v**3 + 1647*v**2 + 11340*v. Let z(k) = -33*a(k) - 4*q(k). Suppose z(w) = 0. Calculate w.
-6, 0, 76
Let q be (-799)/(-141) - 187/33. Factor q + 9*h - 2*h**3 - 3/2*h**2 + 1/2*h**4.
h*(h - 3)**2*(h + 2)/2
Let t = 76303 - 381514/5. Solve -t*r**2 - 3/5*r + 4/5 = 0 for r.
-4, 1
Solve 0 + 4/5*b**4 - 320*b + 3204/5*b**2 - 1608/5*b**3 = 0 for b.
0, 1, 400
Suppose -2*a + 6*a + m - 36 = 0, 0 = 2*a + 4*m - 32. Suppose -5*f = -f - a. Factor -24*n**2 + 12*n**f - 20 - 20*n + 7*n**2.
-5*(n + 2)**2
Suppose 1101 = z + 2*i, -8*i = -5*z - 3*i + 5460. Let n be (4526/z)/((-1)/(-6)). Find h such that -n*h + 4/5 + 961/5*h**2 = 0.
2/31
Let b(i) be the first derivative of -6/65*i**5 - 334 - 76/39*i**3 - 19/26*i**4 + 0*i - 24/13*i**2. Let b(x) = 0. What is x?
-3, -2, -4/3, 0
Let r = 1205794/5571 + -1948/9. Let u = r - -631/3714. Factor 1/6 + u*k**3 - 1/6*k - 1/6*k**2.
(k - 1)**2*(k + 1)/6
Let u(h) = h - 2. Let g(a) = -4*a**2 + 39*a - 62. Let r be -12 + 20 + -1 + -2. Let v(y) = r*u(y) + g(y). Factor v(m).
-4*(m - 9)*(m - 2)
Suppose 649 - 529 = 30*h. Determine g, given that -2*g**h + 0*g + 0 - 4/13*g**2 - 56/13*g**5 + 2*g**3 = 0.
-1, 0, 1/4, 2/7
Let x be (-15)/16*((-1494)/90 + 15). Determine b so that 45/4 - 3/4*b**2 - x*b = 0.
-5, 3
Let r be -3*(48/30)/((-2)/25). Factor -36 + 14*v**4 - 13*v**2 + 10*v**3 - 43*v**4 + 28*v**4 - r*v.
-(v - 6)**2*(v + 1)**2
Suppose -t + 2*b + 88 = 18, -3*t = -3*b - 210. Suppose t*x = 5*i + 71*x - 12, -3*i + 12 = 3*x. Find s such that 7/2*s + 5/2*s**i + 1/2*s**3 + 3/2 = 0.
-3, -1
Let i = -134 + 137. Solve 2*c**4 + 12*c + 25*c**2 - 5*c**3 - 7*c**i - 27*c**2 = 0.
-1, 0, 1, 6
Let f(i) be the second derivative of i**6/1620 - i**5/30 + 3*i**4/4 - i**3/2 + 2*i + 40. Let p(k) be the second derivative of f(k). Let p(o) = 0. Calculate o.
9
Let r be (-7)/(7/2)*552806/(-6035). Determine g, given that -2/5*g**5 - 1344/5*g + 576/5 + r*g**2 - 8*g**4 - 106/5*g**3 = 0.
-12, 1, 2
Suppose 52/21*j**2 + 2/21*j**3 - 118/21*j - 8 = 0. What is j?
-28, -1, 3
Suppose 4*l + 2*s - 2 = -4, -2*l + 5*s + 29 = 0. Factor -42 - 50*n - 3*n**3 - 36*n**l + 41*n + 90*n.
-3*(n - 1)**2*(n + 14)
Factor 1120 - 75*t**3 + 36*t**3 + 9*t**2 - 133*t**2 - 296*t + 35*t**3.
-4*(t - 2)*(t + 5)*(t + 28)
Suppose 0 = -8*k + 4*k. Suppose -3*n - 2*n = 4*u - 519, k = 5*u - 5*n - 660. Factor 4*w**3 - 62*w - 67*w + u*w - w**3 + 5*w**2.
w*(w + 1)*(3*w + 2)
Let d(z) = 24*z**2 - 105*z**2 + z**3 + 51*z**2 + 20*z. Let y(j) = 8*j**3 - 268*j**2 + 182*j. Let o(n) = -52*d(n) + 6*y(n). Solve o(f) = 0.
-13, 0, 1
Let t = -8476379/7 - -1210916. Determine r, given that 6/7*r**3 - 36/7*r + t*r**2 - 3/7*r**4 + 0 = 0.
-3, 0, 1, 4
Let c be (18/(-7))/(-3)*(-8)/(-348)*29. Factor 0*d**2 + 0 + 0*d - 4/7*d**3 + c*d**4.
4*d**3*(d - 1)/7
Let b(h) be the first derivative of -55*h**4/4 - 145*h**3 - 310*h**2 + 60*h + 802. Solve b(x) = 0.
-6, -2, 1/11
Factor 320*j - 1242*j**3 - 135 + 1222*j**3 + 23 - 58*j**2 - 34*j**2.
-4*(j - 2)*(j + 7)*(5*j - 2)
Let a(o) be the second derivative of -o**6/60 - 73*o**5/20 - 294*o**4 - 55223*o**3/6 + 117649*o**2/4 - 12*o + 32. Let a(m) = 0. Calculate m.
-49, 1
Let l = 791/886 - 3575/7974. Find z such that 172/9*z - l*z**3 + 88/9 + 80/9*z**2 = 0.
-1, 22
Factor -23*b - 31*b**2 + 56 - 7*b + 221*b**2 - 189*b**2.
(b - 28)*(b - 2)
Let z(x) = x**5 + 4*x**4 - 4*x**3 + 2*x**2 + 2*x. Suppose -1 = -2*q - 21. Let k(i) = i**5 + i**2 + i. Let b(f) = q*k(f) + 5*z(f). Factor b(a).
-5*a**3*(a - 2)**2
Suppose 5*y + 43 = 4*r, 0 = -y + 7 - 14. Let l(o) be the third derivative of 1/280*o**6 + 1/8*o**4 + 0*o + 0 + 29*o**r - 3/14*o**3 - 1/28*o**5. Factor l(v).
3*(v - 3)*(v - 1)**2/7
Suppose 12 = 41*x - 35*x. Suppose -2 - x = -b. Factor b*v**2 + 1