of -15*m**4/4 + 7*m**3 + 12*m**2 - 12*m - 150. Let j(v) = 0. What is v?
-1, 2/5, 2
Let x = 2469 - 56783/23. Find y, given that -x*y**2 + 4/23 - 2/23*y + 2/23*y**3 = 0.
-1, 1, 2
Let o(h) = -9*h**2 + 10*h + 16. Let v(t) = -16*t**2 + 19*t + 32. Let r(g) = 7*o(g) - 4*v(g). Factor r(f).
(f - 8)*(f + 2)
Let k = -571 + 571. Let u(t) be the second derivative of -6*t + 0*t**3 + 0*t**6 - 1/20*t**5 + k*t**2 + 1/42*t**7 + 0*t**4 + 0. Let u(n) = 0. Calculate n.
-1, 0, 1
Let k(n) be the first derivative of -n**4/14 - 2*n**3/7 - 3*n**2/7 - 2*n/7 - 55. Factor k(z).
-2*(z + 1)**3/7
Let a(f) be the third derivative of -3*f**6/140 + 29*f**5/70 - 247*f**4/84 + 169*f**3/21 - 29*f**2 + 6*f. Factor a(i).
-2*(i - 1)*(3*i - 13)**2/7
Let a = 196 - 191. Let x(v) be the first derivative of 4*v**a - 25/21*v**6 + 8/3*v**3 - 5 + 0*v - 69/14*v**4 - 4/7*v**2. Factor x(n).
-2*n*(n - 1)**2*(5*n - 2)**2/7
Let p(x) be the first derivative of x**4/12 + x**3/3 + x**2/2 - 18*x - 18. Let u(v) be the first derivative of p(v). Let u(j) = 0. What is j?
-1
Let a(s) be the third derivative of s**6/1080 + s**5/60 + s**4/8 + 7*s**3/6 + 9*s**2. Let t(f) be the first derivative of a(f). Solve t(q) = 0 for q.
-3
Determine w, given that -34*w**2 - 149 - 139 + 18*w**2 - 82*w**2 - 4*w**3 - 624*w = 0.
-12, -1/2
Suppose 974*u - 970*u - p - 6 = 0, 4*u + p = 10. Factor 10*s**4 + 25/2*s**3 + 5/2*s**5 + 5*s**u + 0*s + 0.
5*s**2*(s + 1)**2*(s + 2)/2
Let o(y) be the third derivative of -y**10/40320 + y**9/6720 - y**8/4480 + 5*y**4/3 + 38*y**2. Let s(m) be the second derivative of o(m). Factor s(w).
-3*w**3*(w - 2)*(w - 1)/4
Let s(q) be the third derivative of 1/120*q**5 + 0 - 31*q**2 + 1/24*q**4 + 0*q**3 + 0*q. Find n such that s(n) = 0.
-2, 0
Let a(y) = -20*y**4 - 95*y**3 - 59*y**2 - 7*y + 5. Let g(t) = 4*t**2 + 58 - 2*t**2 - t**2 + t + t**4 - 57. Let z(f) = -3*a(f) + 15*g(f). Factor z(h).
3*h*(h + 3)*(5*h + 2)**2
Let r(m) = -5*m**3 + 34*m**2 - 144*m + 190. Let v(u) = 81*u**3 - 543*u**2 + 2304*u - 3039. Let k = 34 - 32. Let d(n) = k*v(n) + 33*r(n). Solve d(x) = 0.
4
Let g(z) be the first derivative of z**5/120 - z**3/3 + 2*z**2 + 38. Let r(s) be the second derivative of g(s). Factor r(l).
(l - 2)*(l + 2)/2
Let d be (-2 + -18)*2/(-4). Let b be (-8)/d*(-4 - 3/(-2)). Find g, given that -2/5 + 1/5*g**4 - 3/5*g + 3/5*g**3 + 1/5*g**b = 0.
-2, -1, 1
Let g(c) = 6*c**2 + 74*c - 18. Let y(n) = -11*n**2 - 154*n + 37. Let x(d) = 10*g(d) + 4*y(d). Let x(z) = 0. What is z?
-8, 1/4
Suppose 3*q - 17 - 13 = 0. Let 6*s**3 + 0*s**3 + 5*s - 4*s**3 + 3*s**3 + q*s**2 = 0. Calculate s.
-1, 0
Let p(r) be the first derivative of -1/12*r**6 + 1/3*r**3 - 2*r - 7/4*r**2 - 35 + 1/5*r**5 + r**4. Suppose p(y) = 0. Calculate y.
-1, 1, 4
Let x(q) = 6*q**4 - 98*q**3 + 468*q**2 - 952*q + 568. Let a(p) = 2*p**4 - 33*p**3 + 156*p**2 - 317*p + 189. Let c(r) = -8*a(r) + 3*x(r). Factor c(j).
2*(j - 6)*(j - 4)**2*(j - 1)
Suppose -18*z - 6 = -20*z. Suppose r + 6 = z*r. Solve 3*v**r + 4 - 3*v**3 - 2*v + 4*v - 4*v**2 - 2*v**3 = 0 for v.
-2, -1, 1
Let m(u) be the second derivative of -u**6/6 + 85*u**4/12 - 30*u**3 + 50*u**2 - 84*u + 1. Suppose m(a) = 0. What is a?
-5, 1, 2
Let p(r) = -19*r - 1613. Let i be p(-85). Find w, given that 0 + 2/3*w**i + 2*w = 0.
-3, 0
Let g(d) be the first derivative of 2*d**7/105 + d**6/6 + 3*d**5/5 + 7*d**4/6 + 4*d**3/3 + 8*d**2 + 25. Let k(l) be the second derivative of g(l). Factor k(h).
4*(h + 1)**3*(h + 2)
Let v(s) be the third derivative of s**8/50400 + s**7/1050 + s**6/50 + 13*s**5/30 + 18*s**2. Let t(y) be the third derivative of v(y). Factor t(n).
2*(n + 6)**2/5
Let l(p) be the second derivative of -p**5/50 + 6*p. Find k, given that l(k) = 0.
0
Let k(l) be the third derivative of l**5/10 - 39*l**4/16 + 27*l**3/4 - 55*l**2 - 4. What is t in k(t) = 0?
3/4, 9
Determine w so that 141*w - 92*w**2 + 88*w**2 + 3*w + 148 = 0.
-1, 37
Let m(j) be the first derivative of -j**3/4 + 93*j**2/4 - 2883*j/4 + 111. Suppose m(d) = 0. Calculate d.
31
Let w(g) = -g**4 + 2*g**3 - g**2 + g - 1. Let q(c) = -8*c**4 + 18*c**3 - 6*c**2 + 3*c - 7. Let d(r) = -4*q(r) + 28*w(r). Factor d(b).
4*b*(b - 4)*(b - 1)*(b + 1)
Let v be ((-12)/42)/((-16)/42). Determine x, given that 0 + 3/4*x**5 - 3/4*x**3 + 0*x + 3/4*x**4 - v*x**2 = 0.
-1, 0, 1
Suppose 2*x + 5*t + 24 = x, 0 = -2*x - 5*t - 23. Suppose 5*u - x + 16 = 3*v, 4*v = 3*u + 20. Solve u*d - 3/5*d**4 - 3/5*d**5 + 0*d**2 + 0 + 6/5*d**3 = 0.
-2, 0, 1
Let u(d) be the third derivative of 1/135*d**6 + 29/108*d**4 + 0*d + 2/9*d**3 + 19*d**2 + 7/90*d**5 + 0. Solve u(t) = 0.
-3, -2, -1/4
Let a(z) be the first derivative of 7*z**6/300 - z**5/75 + 7*z**2 - 16. Let l(b) be the second derivative of a(b). Factor l(d).
2*d**2*(7*d - 2)/5
Suppose -69*d = 32*d - 202. Determine l, given that 27/4*l**d - 9/4*l**4 + 3/2 + 3/4*l**3 - 27/4*l = 0.
-2, 1/3, 1
Factor 62*o**3 - 33*o**5 + 78*o**5 + 100*o**4 - 42*o**3.
5*o**3*(o + 2)*(9*o + 2)
Let u be (-176)/(-40) - (-5)/((-50)/4). Let n(q) be the first derivative of 0*q**3 - 1/18*q**u + 1/9*q**2 + 0*q - 2. Factor n(x).
-2*x*(x - 1)*(x + 1)/9
Determine u so that 403*u - 256 - u**4 - 133*u**2 + 264*u**3 + u**2 - 83*u - 244*u**3 = 0.
2, 8
Let y(t) be the first derivative of -t**6/2 - 3*t**5/5 + 3*t**4/4 + t**3 - 84. Factor y(l).
-3*l**2*(l - 1)*(l + 1)**2
Let a(i) = 4*i + 3. Suppose 4*r + 7 = -3*c, -c - r + 0 - 1 = 0. Let j be a(c). What is u in -24*u**4 - u**3 + u**2 + 5*u**2 - 2*u**3 - j*u**5 = 0?
-1, 0, 2/5
Suppose -4*h = 12 - 4, 4*h + 72 = 4*t. Suppose -5*x + t = 3*a, -x = x - 2*a. Factor 1/3*z**3 + 4*z - 8/3 - x*z**2.
(z - 2)**3/3
Let t(o) be the second derivative of o**8/33600 - o**7/6300 - o**6/3600 + o**5/300 - 15*o**4/4 - 47*o. Let r(p) be the third derivative of t(p). Factor r(g).
(g - 2)*(g - 1)*(g + 1)/5
Determine p, given that -38/9*p**4 + 88/9*p - 88/3*p**2 + 182/9*p**3 + 32/9 = 0.
-4/19, 1, 2
Suppose -6 = -d - 2*d. Let -298*i**d - 1 - 79 - 340*i - 202*i**2 - 285*i**3 - 45*i**4 = 0. What is i?
-4, -1, -2/3
Find m such that -126/5*m**5 + 16/5 + 4*m - 238/5*m**2 + 582/5*m**4 - 254/5*m**3 = 0.
-1/3, 2/7, 1, 4
Let x(a) be the first derivative of -a**6/33 - 2*a**5/11 - 9*a**4/22 - 14*a**3/33 - 2*a**2/11 - 61. Factor x(l).
-2*l*(l + 1)**3*(l + 2)/11
Let y = -94 + 98. Let j(m) = 11*m**2 + 1. Let x be j(-1). Determine z so that 21*z**5 - x*z**2 - 12*z + 81*z**3 + 0*z**2 - 58*z**4 - 20*z**y = 0.
-2/7, 0, 1, 2
Suppose 5*j**2 - 116*j - 183 + 11*j**2 - 12*j**2 + 63 = 0. Calculate j.
-1, 30
Let v(i) = 4*i**3 - 2*i + 4. Let b be v(-3). Let w be b/14*(-1 - 10/(-12)). Find c, given that w*c**2 - 2/3 + 0*c - 1/2*c**3 = 0.
-2/3, 1, 2
Let s(u) be the first derivative of u**7/210 - u**6/30 + u**5/15 - 19*u**3/3 - 23. Let o(c) be the third derivative of s(c). Factor o(m).
4*m*(m - 2)*(m - 1)
Factor 26*a**3 - 84*a**3 + 6*a + 12*a**4 + 29*a**3 + 2*a**5 + 53*a**3 + 20*a**2.
2*a*(a + 1)**3*(a + 3)
Solve 16/5*u + 4/5*u**4 - 16/5*u**3 + 4 - 24/5*u**2 = 0.
-1, 1, 5
Let s = -566 + 566. Let c(m) be the first derivative of s*m**3 - 1/2*m**2 + 1/12*m**4 + 2/3*m + 5. Solve c(l) = 0 for l.
-2, 1
Let w(j) = 2*j**2 - 170*j. Let r(a) = -a**2 - 2*a. Let c(p) = -5*r(p) - w(p). Determine z, given that c(z) = 0.
-60, 0
Let r = -36/7 - -309/56. Let p(b) be the first derivative of -3/2*b + r*b**2 + 7 + 1/4*b**3. Let p(f) = 0. What is f?
-2, 1
Let 446/13*v**3 + 2/13*v**5 - 448/13*v - 392/13 + 334/13*v**2 + 58/13*v**4 = 0. Calculate v.
-14, -1, 1
Let v(n) be the second derivative of -32/75*n**6 - 200*n**2 + 1/105*n**7 + 460/3*n**3 + 0 + 361/50*n**5 + 43*n - 163/3*n**4. Find b such that v(b) = 0.
1, 10
Let m(s) be the third derivative of -4*s**7/105 - 7*s**6/60 - s**5/8 - 13*s**4/192 - s**3/48 + 4*s**2 + 12*s. Let m(y) = 0. Calculate y.
-1, -1/4
Factor 12*r - 4 + 2773*r**4 - 14*r**2 - 2771*r**4 + 4.
2*r*(r - 2)*(r - 1)*(r + 3)
Let f(p) be the third derivative of p**6/60 + p**2 + 9*p. Factor f(m).
2*m**3
Solve 5/3*l**2 + 10/3*l - 1/2*l**4 + 4/3 - 5/6*l**3 = 0.
-2, -1, -2/3, 2
Let u(d) be the third derivative of -5*d**8/84 - 43*d**7/210 - d**6/30 + d**5/15 + 65*d**2. Suppose u(z) = 0. What is z?
-2, -2/5, 0, 1/4
Let f(h) be the first derivative of -1/16*h**4 - 1/4*h**3 - 12 - 3/8*h**2 - 1/4*h. Solve f(q) = 0.
-1
Let a(d) = 2*d**4 - 12*d**3 - 24*d**2 - 20*d + 2. Let w(r) = -3*r**4 + 12*r**3 + 24*r*