2 - (-2)/3. Suppose -3*m + 5*v + 2 = 0, -20 = -14*m + 11*m - 4*v. Factor 0 + 2/3*w**2 + 2/3*w - 2/3*w**m - q*w**3.
-2*w*(w - 1)*(w + 1)**2/3
Let q = 1 + 1. Suppose -5 = -3*i - 2*x, 0*x = -2*i - 4*x - 2. Determine s so that 9/2*s**5 + 3*s**4 + 0 + 3/2*s - 6*s**i - 3*s**q = 0.
-1, 0, 1/3, 1
Factor 6*m + 36 + 1/4*m**2.
(m + 12)**2/4
Let w = 151 - 87. Let v be 1/(-5) + w/20. Factor -5*d**3 + 2*d**2 - v*d**2 + d**2.
-5*d**3
Let k(p) be the second derivative of p**9/3780 + p**8/840 + p**7/630 + 23*p**4/12 + 22*p. Let v(u) be the third derivative of k(u). Factor v(g).
4*g**2*(g + 1)**2
Find p, given that -7/9*p**2 + 292/9*p + 28/3 = 0.
-2/7, 42
Suppose 4*k + 157 = -5*p, 3*p - 2*k = 4*p + 29. Let f = p + 33. Solve i + f - 1/2*i**2 = 0.
0, 2
Let r = 248/87 + -16/87. What is v in -3*v**4 + 2/3*v**3 + 1/3 - 2*v + r*v**2 + 4/3*v**5 = 0?
-1, 1/4, 1
Solve -215*a - 160 + 5203 + 3*a**2 - 31*a = 0.
41
Let l = -3 + 7. Suppose b + l*b - 25 = 0. Suppose 2*a**4 - b*a**4 + a**3 - a**3 + 3*a**5 = 0. Calculate a.
0, 1
Suppose -w = -3*o - 2*o + 9, -2 = -o. Let k = 527/92 + -126/23. Let w + b + k*b**2 = 0. Calculate b.
-2
Let j(d) be the first derivative of -7/32*d**4 + 37/24*d**3 - 19/8*d**2 + 15 + d. Factor j(r).
-(r - 4)*(r - 1)*(7*r - 2)/8
Let g(v) = -3*v**4 - 76*v**3 + 119*v**2 + 28*v - 188. Let t(f) = -2*f**4 - 74*f**3 + 121*f**2 + 27*f - 187. Let d(q) = -7*g(q) + 8*t(q). Factor d(s).
5*(s - 9)*(s - 2)**2*(s + 1)
Determine l so that 3/2*l**4 + 15*l**3 + 99/2*l**2 + 66*l + 30 = 0.
-5, -2, -1
Factor -1/4*o + 0 + 1/4*o**2.
o*(o - 1)/4
Let k(z) = -7*z - 27. Let b be k(-9). Suppose 21*g - 33*g = -b. Factor 0*m + 1/5*m**4 + 9/5*m**2 + 0 + 6/5*m**g.
m**2*(m + 3)**2/5
Determine z so that -192*z**2 + z**3 - 6*z**3 + 267*z**2 = 0.
0, 15
Suppose -22 = -5*p - 3*s, -p + 17*s - 13*s = 14. Determine x, given that 2/7*x**5 - 2/7*x**3 + 0 - 2/7*x**p + 2/7*x**4 + 0*x = 0.
-1, 0, 1
Suppose 3*q + 3*s = 72, -6*s = 2*q - s - 42. Factor 5 + 73*h**2 - 80*h**3 + 21*h**2 - 11*h + q*h**2 - 34*h.
-5*(h - 1)*(4*h - 1)**2
Let t(k) = 7*k**2 + 5*k - 2. Let a be t(6). Let u be a/63*12/10. Find z, given that u - 6*z**3 - 68/3*z**2 - 56/3*z = 0.
-2, 2/9
Let t(y) be the second derivative of -y**4/6 + 19*y**3/3 - 18*y**2 + 84*y. Factor t(s).
-2*(s - 18)*(s - 1)
Determine s so that 9/8*s**2 - 9/4 + 21/8*s = 0.
-3, 2/3
Factor -3*y + 1006 - 328 + y - 2*y**2 - 339 - 327.
-2*(y - 2)*(y + 3)
Let u(g) be the third derivative of 0 - 1/360*g**6 - 1/180*g**5 + 0*g**3 + 0*g**4 + 1/630*g**7 + 0*g + 1/1008*g**8 + 14*g**2. Factor u(c).
c**2*(c - 1)*(c + 1)**2/3
Let k(j) be the second derivative of -j**4/30 - 268*j**3/15 - 17956*j**2/5 - 10*j + 10. Determine v, given that k(v) = 0.
-134
Let l(q) = q**3 - 21*q**2 + 109*q - 38. Let w be l(8). Suppose 1/10*o**4 + 13/10*o**w + 3/5*o**3 + 2/5 + 6/5*o = 0. What is o?
-2, -1
Let v(d) be the first derivative of -d**4/6 - d**3/3 + 3*d - 5. Let l(h) be the first derivative of v(h). Let l(c) = 0. What is c?
-1, 0
Suppose -10 = -7*x + 32. Solve 16*r**3 - 32*r - 10 - x + 4*r**2 + 12*r**4 - 26*r**3 + 42*r**3 = 0.
-2, -1, -2/3, 1
Let o = 153 - 150. Suppose -4*v - 32 = -5*x, 10*v - 9*v = -o. Factor -4/7*k**3 - 2/7*k**2 + 0*k + 0 - 2/7*k**x.
-2*k**2*(k + 1)**2/7
Let j(o) = -5*o**2 + 12*o. Suppose 8*c - 3*c = 15. Let g(k) = 5*k**2 - 11*k. Let s(m) = c*g(m) + 4*j(m). Factor s(z).
-5*z*(z - 3)
Solve -1/2*g**5 + 5*g**2 - 4 - g**4 + 5/2*g**3 - 2*g = 0 for g.
-2, -1, 1, 2
Suppose -9*s + 2*s + 168 = 0. Let x = s + -20. Factor -4/7*n**3 + 0*n**x + 0*n**2 + 0 + 2/7*n**5 + 2/7*n.
2*n*(n - 1)**2*(n + 1)**2/7
Let j(r) be the second derivative of -2*r**6/15 + r**5/5 + r**4 - 2*r**3/3 - 4*r**2 + 3*r + 1. What is n in j(n) = 0?
-1, 1, 2
Suppose -3*p + 2*a - 188 = 0, 9*a + 3 = 12*a. Let g = p + 66. Let 0*v + 0 + 2/3*v**g + 0*v**2 - v**5 + 1/3*v**3 = 0. Calculate v.
-1/3, 0, 1
Let z(l) be the first derivative of -l**9/756 + l**8/84 - l**7/30 + l**6/30 + 13*l**3/3 - 2*l - 23. Let k(a) be the third derivative of z(a). Factor k(o).
-4*o**2*(o - 3)*(o - 1)**2
Let q = -53683/1980 - -896/33. Let o(n) be the third derivative of 4*n**2 + 0*n - 1/10*n**5 + 0 - 1/18*n**4 + 0*n**3 - q*n**6. Find j, given that o(j) = 0.
-1, -2/7, 0
Factor -2/5*d - 2/3*d**2 + 6/5 - 2/15*d**3.
-2*(d - 1)*(d + 3)**2/15
Let k = 87 - 72. Let -17*b**2 - 10*b**3 - 17*b - 43*b**2 + k*b**4 - 2*b**5 - 23*b + 7*b**5 = 0. What is b?
-2, -1, 0, 2
Factor -13778 - 1/2*g**2 - 166*g.
-(g + 166)**2/2
Determine t so that 123*t**2 + 5*t**4 + 7*t + 35 - 232*t**2 + 23*t + 69*t**2 - 30*t**3 = 0.
-1, 1, 7
Suppose 54*v - 1672 = -22*v. Factor 121/2*f**2 + 2 + v*f.
(11*f + 2)**2/2
Let z(p) = 0*p**2 + 2 + p**2 - 3 - 2*p**2 + p**3 - p. Let d(a) = -8*a**3 + 13*a**2 - 5*a + 15. Let k(g) = -4*d(g) - 28*z(g). Determine n so that k(n) = 0.
2
Let o(g) be the first derivative of 3*g**4/8 - 5*g**3/2 + 58. Factor o(y).
3*y**2*(y - 5)/2
Let u(y) be the first derivative of 2/55*y**5 + 2/11*y**3 + 3/22*y**4 - 7 + 0*y + 1/11*y**2. Find m, given that u(m) = 0.
-1, 0
Let g(a) be the first derivative of 3*a**6/2 - 174*a**5/5 - 147*a**4/4 + 168*a**3 + 354*a**2 + 240*a + 341. Solve g(z) = 0 for z.
-1, -2/3, 2, 20
Let a(m) be the first derivative of m**5/55 - 4*m**4/11 + 29*m**3/33 - 7*m**2/11 + 430. Factor a(j).
j*(j - 14)*(j - 1)**2/11
Let g(a) be the first derivative of a**4/2 - 2*a**3 - a**2 + 6*a - 22. Find x such that g(x) = 0.
-1, 1, 3
Let i(v) be the first derivative of v**6/21 + 2*v**5/35 - v**4/2 - 26*v**3/21 - 6*v**2/7 - 205. What is c in i(c) = 0?
-2, -1, 0, 3
Let v(p) = p**3 + 7*p**2 + 4*p - 8. Let d be v(-6). Suppose -5*f + d = -4*f. Factor -3*s**2 - 2*s**3 - s**f + 2*s**2 + 0*s**4.
-s**2*(s + 1)**2
Find q such that 8/7*q - 2/7*q**3 - 40/7 + 10/7*q**2 = 0.
-2, 2, 5
Suppose -5*r + 1452 = -173. Factor -36*s**2 + 325 + 3*s**3 + 108*s - r.
3*s*(s - 6)**2
Let w(n) = -n**3 - 3*n**2 + 5*n + 8. Let g be ((-24)/(-3)*1)/(-2). Let t be w(g). Determine u so that -26*u**2 + u**3 - 2*u**t + 2*u**2 - 13*u**3 - 16*u = 0.
-2, 0
Let d = 6 + 3. Let y(o) = -o + 9. Let m be y(d). Let -12*r**4 + 2*r**5 - 5*r**3 + 29*r**3 - 16*r**2 + m*r + 0*r = 0. What is r?
0, 2
Let m(k) be the second derivative of -k**5/80 - k**4/6 - 5*k**3/8 - 292*k. Factor m(h).
-h*(h + 3)*(h + 5)/4
Let f(b) = -16*b**2 + 9*b + 61. Let l be 80/12*6/8 - -2. Let c(h) = -5*h**2 + 3*h + 20. Let p(u) = l*c(u) - 2*f(u). Find x such that p(x) = 0.
-2, 3
Let y(v) = 2*v**2 + 10*v + 8. Let g be y(-4). Let w(a) be the second derivative of g*a**2 - 2*a + 1/6*a**4 - 3/10*a**5 + 0*a**3 + 0. Factor w(t).
-2*t**2*(3*t - 1)
Suppose -12/5 + 8/5*k**2 + 2/5*k + 2/5*k**3 = 0. Calculate k.
-3, -2, 1
Suppose 5*h = 2*h + 12. Let g be (4 - (-95)/(-25))*0 + 6/18. Suppose 1/3*d**2 + 2/3*d + 1/3*d**5 - g*d**h + 0 - d**3 = 0. Calculate d.
-1, 0, 1, 2
Let w(t) be the third derivative of t**7/18900 + t**6/1350 + t**5/225 + t**4/12 + 2*t**2. Let k(c) be the second derivative of w(c). Factor k(y).
2*(y + 2)**2/15
Let r(z) be the third derivative of 2*z**6/15 + 43*z**5/15 + 29*z**4/6 - 20*z**3/3 + 540*z**2. What is x in r(x) = 0?
-10, -1, 1/4
Let y(x) = 2*x + 45. Let c be y(-21). Let c*z**5 + 32*z**2 + 9*z**3 - 35*z**2 + 2 - 9*z**4 - 2 = 0. Calculate z.
0, 1
Let n be 11/3080*1412 + 58/(-20) + 3. Suppose -15/7*a**2 - 12/7 + 27/7*a**4 - 36/7*a**3 + n*a = 0. What is a?
-1, 2/3, 1
Let o(j) = -j**2 - j + 2. Let u(y) = -y**3 - 109*y**2 - 2917*y - 2805. Let d(q) = 2*o(q) - u(q). Solve d(l) = 0.
-53, -1
Let u(z) be the second derivative of z**4/30 - z**3/5 + 2*z**2/5 + 30*z + 4. Factor u(b).
2*(b - 2)*(b - 1)/5
Let n(q) be the second derivative of 4*q - 1/2*q**3 + 0 - 1/36*q**4 + 0*q**2. Factor n(l).
-l*(l + 9)/3
Let g(y) be the third derivative of y**9/544320 - y**8/90720 - y**5/5 + 6*y**2. Let t(i) be the third derivative of g(i). Solve t(s) = 0 for s.
0, 2
Factor 0 - 21*j**4 - 201/5*j**3 - 3/5*j**5 + 0*j - 99/5*j**2.
-3*j**2*(j + 1)**2*(j + 33)/5
Let k be ((-126)/(-7))/((-4)/10). Let n be (k/(-10) - 4)/((-33)/(-36)). Solve 4/11*r**2 - 2/11*r + n*r**3 + 0 = 0.
-1, 0, 1/3
Suppose 4 + 4 = 4*l. Solve 0*q + 7*q**3 + 2*q + l*q**5 - 11*q**3 = 0.
-1, 0, 1
Let p = 35 - 15. Let b = p + -18. Determine r so that 12 - 6*r**2 - 8 + 5*r**b = 0.
-2, 2
Suppose -15*s + 358 - 358 = 0. Let u(b) be the second derivative of -10*b + s*b**3 + 0*b**2 + 0 - 1/4*b**4. Fa