2 + 0*j**5 + 6*j**5 = 0.
-1, 0, 1
Let w = -169 + 172. What is k in 2*k**3 - 15*k - 2*k**2 - 17*k**2 + 7*k**2 + k**w = 0?
-1, 0, 5
Let w(q) be the second derivative of 1/66*q**4 + 3*q + 0 - 5/33*q**3 + 0*q**2. Let w(f) = 0. Calculate f.
0, 5
Let k(i) = 2*i**4 + 2*i**3 + 3*i**2 + 3*i + 5. Let m(g) = 2*g**4 + 2*g**3 + 4*g**2 + 4*g + 6. Let r(b) = 6*k(b) - 5*m(b). Let r(w) = 0. What is w?
-1, 0, 1
Factor 2*t - 12 + 2/3*t**2.
2*(t - 3)*(t + 6)/3
Let a(d) be the second derivative of -d**4/24 - 29*d**3/12 - 39*d**2/2 + 2*d - 230. Let a(r) = 0. What is r?
-26, -3
Let y(t) = 3 - 2*t + 0*t**2 - 2*t**2 - 5*t + 0*t**2. Let n(f) = 2*f**2 + 8*f - 2. Let h be (-18)/3 + 2 + 0. Let u(o) = h*y(o) - 3*n(o). Let u(l) = 0. What is l?
-3, 1
Suppose 5*x - 3*o - 3 - 7 = 0, -5*x + 10 = -2*o. Let h = 15 + -12. Factor -x*t**4 - t**4 + 8*t**h - 5*t**3.
-3*t**3*(t - 1)
Let l(v) = 2*v**3 + 12*v**2 - 30*v + 27. Let i(z) = -z - 1 - 2 - 1 + 5. Let h be i(3). Let q(r) = r**3 + r**2 - r. Let o(s) = h*l(s) + 6*q(s). Factor o(p).
2*(p - 3)**3
Suppose 0*m = -7*m + 5*m. Let y(h) be the first derivative of 5 + 1/6*h**3 + m*h**2 + 1/8*h**4 + 0*h. Factor y(u).
u**2*(u + 1)/2
Suppose 1366*m - 1369*m = 0. Factor -2/9*k**2 - 4/9*k**3 - 2/9*k**4 + m + 0*k.
-2*k**2*(k + 1)**2/9
Let y(k) = k + 11. Let a be y(-9). Factor -2*b + 4*b**2 - b**4 - 3*b**a + 0*b**2 + 2*b**3 + 0*b**2.
-b*(b - 2)*(b - 1)*(b + 1)
Let n = 191/630 + -4/45. Let f(s) be the second derivative of 4*s - 7/20*s**6 - 1/5*s**5 - 1/24*s**4 + 0*s**3 + 0*s**2 + 0 - n*s**7. Factor f(u).
-u**2*(2*u + 1)*(3*u + 1)**2/2
Suppose 5*b**4 - 17*b - 9*b + 26*b - 20*b**3 + 20*b**2 = 0. Calculate b.
0, 2
Let t = -37 + 41. Factor r - 6*r + 4*r**3 - 3*r**2 - r**2 + r + 4*r**t.
4*r*(r - 1)*(r + 1)**2
Let 258*j**5 - 360*j**4 - 555*j**3 - 306*j**5 + 52 + 360*j + 555*j**2 - 4 = 0. Calculate j.
-4, -1/4, 1
Let n(o) = 2*o**2 + 10*o - 25. Let z(s) = 3*s**2 + 10*s - 25. Suppose 21*p - 20*p = -3. Let f(k) = p*z(k) + 4*n(k). Let f(q) = 0. Calculate q.
5
Let o be 215/(-18) - (-6 + -6). Let t(b) be the first derivative of 0*b - o*b**4 + 1/9*b**2 + 0*b**3 - 2. Factor t(x).
-2*x*(x - 1)*(x + 1)/9
Let p = -165269/105 + 1574. Let y(w) be the second derivative of 0 + 5*w + 0*w**3 + 0*w**4 + 0*w**5 + 0*w**2 + p*w**6. Factor y(q).
2*q**4/7
Let c(r) be the second derivative of 0*r**2 - 1/12*r**4 + 0*r**3 + 0 + 1/20*r**5 + 16*r. Determine h, given that c(h) = 0.
0, 1
Let k be 5*(3 + -2 - 4)/(-3). Factor 3*f**4 + 29*f**2 - k*f**2 - 7*f**3 + 0*f**3 - 14*f**3 + 48*f.
3*f*(f - 4)**2*(f + 1)
Let n(r) be the first derivative of r**6/10 - r**5/20 - r**4/4 + r**3/6 - 9*r - 11. Let z(f) be the first derivative of n(f). Factor z(w).
w*(w - 1)*(w + 1)*(3*w - 1)
Let -20/9 - 8*w - 7/9*w**2 = 0. Calculate w.
-10, -2/7
Let y(o) be the third derivative of -o**5/240 - o**4/16 + 7*o**3/24 + 8*o**2 + 21*o. Let y(x) = 0. What is x?
-7, 1
Let k(h) = 2 + 1 + 2092*h**3 - 2134*h**3 + 17*h + 83*h**2. Let f(j) = 505*j**3 - 995*j**2 - 205*j - 35. Let m(o) = -3*f(o) - 35*k(o). Let m(p) = 0. Calculate p.
-2/9, 0, 2
Let h(v) = v**2 - 19*v + 62. Let w be h(5). Let n = w - -92/11. Suppose 6/11*a - n - 2/11*a**2 = 0. Calculate a.
1, 2
Suppose -8*y**2 + 6*y**2 + 2*y**3 + 3*y**3 + 7*y**2 = 0. What is y?
-1, 0
Let c(d) be the first derivative of d**4/6 + d**3/3 - 2*d**2 - 11*d + 11. Let u(q) be the first derivative of c(q). Factor u(p).
2*(p - 1)*(p + 2)
Determine y, given that -98*y + 22714*y**5 - 22744*y**5 - 56*y**4 - 10 + 22 + 44*y**2 + 128*y**3 = 0.
-3, -1, 2/15, 1
Factor 0 - 1/6*u**2 - 1/6*u**4 - u + 2/3*u**3.
-u*(u - 3)*(u - 2)*(u + 1)/6
Let f be 2/4*(-5)/(-2). Factor -f*q**2 + 5/2 + 5/4*q.
-5*(q - 2)*(q + 1)/4
Let a be (-16 - 0)*(-20)/60. Find m such that -1/3*m**2 - a - 8/3*m = 0.
-4
Let m(g) be the third derivative of g**8/1344 - g**7/140 + 7*g**6/240 - g**5/15 + 3*g**4/32 - g**3/12 - 346*g**2. Factor m(b).
(b - 2)*(b - 1)**4/4
Let z be -3 + 2 - -2 - -2. Let o be 451/396 - 1/(-9). Factor -15/4 + 0*h**z - 15/2*h**2 + 10*h + o*h**4.
5*(h - 1)**3*(h + 3)/4
Suppose 5*a - 137 = 4*b, -5*a + 3*b + 69 = -65. Factor 36 - 26 + 14*t - a*t**2 + t.
-5*(t - 1)*(5*t + 2)
Let b(l) be the second derivative of 25*l - 1/15*l**4 + 0*l**2 + 2/5*l**3 + 0. What is j in b(j) = 0?
0, 3
Suppose 2 - 17*o**2 + 17*o**3 - 31*o**3 + 3*o**4 - 3*o + 2*o**5 + o**3 + 2*o**5 = 0. Calculate o.
-1, 1/4, 2
Let y = -821/3 + 1369/5. What is v in -4/15*v + y + 2/15*v**2 = 0?
1
Let y(b) = -17*b**3 - 38*b**2 + 77*b - 18. Let j(i) = 205*i**3 + 455*i**2 - 925*i + 215. Let m(g) = -2*j(g) - 25*y(g). Suppose m(k) = 0. What is k?
-4, 1/3, 1
Let w(m) = -m**2 - 8*m + 10. Suppose 5*o - 4 + 12 = i, 5*i + o = -38. Let t be w(i). Factor -3*s**3 + 4*s + t*s**3 + 12*s**2 + s**2 + 5*s**2.
2*s*(s + 1)*(7*s + 2)
What is b in 2/9*b**2 - 46/9*b + 44/9 = 0?
1, 22
Let f be (-40 - 0)/(0 - -1). Let y be f/(-22) - (-6)/33. Factor 4 + 2*x**y - 4 + 5*x - 3*x.
2*x*(x + 1)
Let f(h) be the third derivative of 0*h**4 + 0*h + 1/630*h**6 - 8*h**2 - h**3 + 0*h**5 + 1/1470*h**7 + 0. Let n(d) be the first derivative of f(d). Factor n(p).
4*p**2*(p + 1)/7
Suppose -3*k = -4*k - 2*s + 3, -3*k + 25 = -2*s. Factor 4*w**3 - 2*w**4 + 13*w - k*w - 10*w + 2.
-2*(w - 1)**3*(w + 1)
Suppose 1/4*d**5 + 1/2*d**4 - 1/2*d**2 + 0*d - 1/4*d**3 + 0 = 0. Calculate d.
-2, -1, 0, 1
Let p(c) be the third derivative of -c**6/60 + 7*c**5/30 - 7*c**4/6 + 8*c**3/3 + 591*c**2. Solve p(f) = 0 for f.
1, 2, 4
Factor 9/5*w**2 - 3*w - 1/5*w**3 + 7/5.
-(w - 7)*(w - 1)**2/5
Factor 15*m**2 + 3*m**2 - 53*m + 2*m**3 - 26*m**2 + 15*m - 28.
2*(m - 7)*(m + 1)*(m + 2)
Let y(n) be the first derivative of 0*n + 3/5*n**5 - 9/2*n**4 - 12*n**2 + 13 + 12*n**3. Factor y(h).
3*h*(h - 2)**3
Let i(r) = -4*r**5 + 4*r**4 + 18*r**3 + 7*r**2 - 28*r - 6. Let g(d) = d**5 + d**3 - d**2 + 2. Let j(b) = 3*g(b) + i(b). Factor j(x).
-x*(x - 7)*(x - 1)*(x + 2)**2
Let n(l) be the third derivative of l**6/420 + l**5/42 + l**4/21 - 3*l**2 + 3. Factor n(r).
2*r*(r + 1)*(r + 4)/7
Let q(a) be the third derivative of a**5/330 - 29*a**4/132 + 120*a**2. Factor q(f).
2*f*(f - 29)/11
Let l(z) be the second derivative of -2*z**4 + 9/5*z**5 + 0 + 0*z**2 + 1/14*z**7 + 0*z**3 + 7*z - 3/5*z**6. Factor l(w).
3*w**2*(w - 2)**3
Let h(c) be the third derivative of c**8/168 - c**7/105 - c**6/20 + c**5/6 - c**4/6 + 2*c**2 + 49. Factor h(g).
2*g*(g - 1)**3*(g + 2)
Let c(o) be the third derivative of o**9/20160 - o**8/8960 - o**7/3360 + o**6/960 - 5*o**4/12 - 3*o**2. Let r(u) be the second derivative of c(u). Factor r(w).
3*w*(w - 1)**2*(w + 1)/4
Let a(b) be the first derivative of b**6/1080 - b**5/180 - b**4/24 - 11*b**3/3 - 14. Let p(c) be the third derivative of a(c). Determine r so that p(r) = 0.
-1, 3
Let c(h) = 8*h**4 - 22*h**3 + 4*h - 4. Let y = -58 + 67. Let w(g) = 15*g**4 - 43*g**3 + 7*g - 9. Let j(i) = y*c(i) - 4*w(i). Determine q so that j(q) = 0.
-1/2, 0, 2/3, 2
Let n(p) be the third derivative of p**5/15 - p**4/6 - 19*p**2 - p. Factor n(f).
4*f*(f - 1)
Let g be -14 + -2 + 60 + -44. Find q, given that 0*q**4 + 0 + 3/2*q**2 + g*q + 9/4*q**3 - 3/4*q**5 = 0.
-1, 0, 2
Determine y so that 0 - 3*y**2 - 5/4*y = 0.
-5/12, 0
Suppose 0 = -i + 2 - 0. Suppose 5*f + 5*c - 40 = 0, 2*f + 14*c = 11*c + 20. Let -f*u + 3*u**i + 14 - 2*u - 8 - 3 = 0. What is u?
1
Let h = 78 + -74. Determine m, given that 2 + 4 + 120*m**2 + 90*m**h - 194*m**3 - 21*m**5 + 44*m**3 + 0 - 45*m = 0.
2/7, 1
Let k be -4 - (187/(-33) + -3). Determine z so that 10/3*z**4 - 4/3*z**2 + 4*z**3 + 2/3*z**5 - k*z - 2 = 0.
-3, -1, 1
Let 0 + 3/2*m**2 - 2*m + 1/2*m**3 = 0. What is m?
-4, 0, 1
Find w such that 91 - w**4 + 6*w**3 + 0*w**4 + 5*w - 91 + w - 11*w**2 = 0.
0, 1, 2, 3
Let z = -1413 + 296731/210. Let l(a) be the third derivative of 0*a + 0 + 0*a**4 - 6*a**2 + 0*a**3 + z*a**5. Find x such that l(x) = 0.
0
Let o(p) be the second derivative of p**4/8 + 5*p**3/4 - 21*p**2/2 - 363*p. Determine d so that o(d) = 0.
-7, 2
Let t(u) = -u**2 + 2. Let y be t(-1). Suppose -x = -c + y, -2*x - 3*c = -0*x - 3. Suppose -1/2*g**2 + 1/6*g**3 + 1/3*g + x = 0. What is g?
0, 1, 2
Let g(c) be the second derivative of 7*c**6/45 + 3*c**5/5 + 5*c**4/6 + 4*c**3/9 - 106*c + 1. Determine p, given that g(p) = 0.
-1, -4/7, 0
Factor -22/9*a**4 + 0 - 1/9*a**5 - 36*a - 157/9*a**3 - 44*a**2.
-a*(a + 2)**2*(a + 9)**2/