o.
-1, -1/2, 1, 2
Let w(m) = 9*m**4 - 7*m**3 - 78*m**2 - 44*m + 21. Let i(r) = -r**4 - r**3 + 2*r**2 - 1. Let p(o) = -3*i(o) + w(o). Suppose p(c) = 0. Calculate c.
-2, -1, 1/3, 3
Let x = 130 - 128. Factor -35*i**2 - 4 + 11*i**x - 2*i + 14*i**2 + 12*i**2.
2*(i - 2)*(i + 1)
Let v(j) be the first derivative of -j**8/280 - 13*j**7/420 - j**6/45 + 2*j**3 - 18. Let o(l) be the third derivative of v(l). Find i, given that o(i) = 0.
-4, -1/3, 0
Let d = -127 - -130. Let y(z) be the second derivative of -1/48*z**4 + 0 + 5*z - 9/8*z**2 - 1/4*z**d. What is p in y(p) = 0?
-3
Let s(r) be the second derivative of -12/5*r**5 - 14/15*r**6 + 0*r**2 + 0*r**3 + 4/3*r**4 + 45*r + 0. Factor s(n).
-4*n**2*(n + 2)*(7*n - 2)
Let s(h) be the first derivative of 3/2*h**4 - 6/5*h**5 - 16 + 21/2*h**2 + 6*h - 1/2*h**6 + 8*h**3. Factor s(x).
-3*(x - 2)*(x + 1)**4
Let v(b) be the first derivative of 7*b**6/24 + 23*b**5/20 - 4*b**4 - 5*b**3/3 - 83. Find c such that v(c) = 0.
-5, -2/7, 0, 2
Factor -32/3*k + 4/3*k**4 - 4/3*k**3 - 40/3*k**2 + 0.
4*k*(k - 4)*(k + 1)*(k + 2)/3
Suppose 3*t + 2 = 14. Suppose 2*w + t*r = 8, -6*w = -5*w + 4*r - 8. Factor w + 1/2*o**4 - o**3 - 1/2*o**2 + o.
o*(o - 2)*(o - 1)*(o + 1)/2
Let c = -10 - -9. Let s be c/((-45)/57) - 3/5. Factor -2*i - 2/3*i**3 + 2*i**2 + s.
-2*(i - 1)**3/3
Suppose 3*c - z = 4*z - 24, z = 0. Let s(d) = d**2 + 9*d + 11. Let t be s(c). Factor -2*i**5 + 3*i**3 + 0*i**t - i**3 - 4*i**4 + 2*i**2 + 2*i**4.
-2*i**2*(i - 1)*(i + 1)**2
Let p = 1047 - 1045. Let 0*c**p + 0 + 0*c**3 + 2/5*c**5 + 0*c - 4/5*c**4 = 0. What is c?
0, 2
Let m = -893 - -898. Let l(u) be the third derivative of 1/2*u**3 - u**2 + 0*u**m + 0*u + 3/16*u**4 - 1/80*u**6 + 0. Solve l(s) = 0 for s.
-1, 2
Suppose 4*h = 3*j + 102, 3*h - 7*h + 94 = j. Determine d, given that -11*d + 5*d - 2*d**2 - h*d**4 + 6*d**3 + 22*d**4 + 4 = 0.
-1, 1, 2
Factor 2392*k**2 - 2*k - 1192*k**2 - 24 - 1198*k**2.
2*(k - 4)*(k + 3)
Let f be (-9)/(-2) + (-5)/10. Let t be (f/(-3))/(6/(-108)). Factor -t*x - 36 + 8*x**2 - 21*x**2 + 6*x**2 + 3*x**2.
-4*(x + 3)**2
Suppose 4*w - 5*v - 123 = 0, 2*w + w + 2*v - 98 = 0. Let q = 35 - w. Factor 0*x**3 - 3*x**q + x**3 + 2*x**4.
2*x**3*(x - 1)
Let n(f) be the second derivative of -f**4/20 + f**3/5 + 36*f**2/5 - 94*f - 2. Factor n(a).
-3*(a - 6)*(a + 4)/5
Let n = -11 - -8. Let r(m) = -2*m**2 + 6*m + 5. Let s(b) = -3*b**2 + 7*b + 6. Let h(c) = n*s(c) + 4*r(c). Factor h(t).
(t + 1)*(t + 2)
Let c = 22563/11 + -2051. Solve 12/11*l**4 - 18/11*l - 28/11*l**3 + 32/11*l**2 - c*l**5 + 4/11 = 0.
1, 2
Let z(g) be the second derivative of -g**4/18 - 7*g**3/9 - 35*g. Factor z(b).
-2*b*(b + 7)/3
Let k(h) = h**2 - 13*h + 14. Let s be k(12). Suppose 34 = s*g + 30. What is t in -2/9*t**3 + 2/9*t**4 + 0 + 2/9*t - 2/9*t**g = 0?
-1, 0, 1
Let n(o) be the second derivative of 1/150*o**6 - 1/12*o**4 + 3/100*o**5 - 1/210*o**7 + 0*o**2 + 0 + 1/15*o**3 - 14*o. Factor n(j).
-j*(j - 1)**3*(j + 2)/5
Let z(l) be the third derivative of l**7/70 + l**6/20 - l**5 + 3*l**4 - 38*l**2. Suppose z(m) = 0. Calculate m.
-6, 0, 2
What is w in 7*w**2 + 49*w + 1/3*w**3 + 343/3 = 0?
-7
Let d(m) be the second derivative of 0*m**4 + 1/80*m**5 + 0*m**6 + 0*m**3 - 1/168*m**7 + 0*m**2 + 16*m + 0. Suppose d(j) = 0. What is j?
-1, 0, 1
Let m(r) = 20*r**3 + 30*r**2 - 19*r - 9. Let a(n) = 6*n**2 - 3*n + n**3 - 5*n**3 - 2 + 8*n**3 - n. Let b(h) = 11*a(h) - 2*m(h). Factor b(q).
2*(q - 1)*(q + 2)*(2*q + 1)
Let h(i) be the second derivative of i**4/9 + 2*i**3/3 + 4*i**2/3 - 13*i. Solve h(v) = 0.
-2, -1
Let j(v) be the first derivative of 0*v**3 + 0*v - 27 + 5/14*v**4 + 2/35*v**5 + 0*v**2. Solve j(f) = 0.
-5, 0
Factor 21*h**2 - 43*h + 1/3*h**3 + 65/3.
(h - 1)**2*(h + 65)/3
Let h(b) be the first derivative of b**5/20 + 5*b**4/16 + b**3/2 - b**2/2 - 2*b + 459. Suppose h(m) = 0. Calculate m.
-2, 1
Let i = -163/5 - -509/15. Solve i - 2/9*b - 2/9*b**2 = 0.
-3, 2
Solve 2*m - m**3 - 148 + 156 + 8*m + m**2 = 0 for m.
-2, -1, 4
Let f = 27 + -39. Let p(v) = -v - 9. Let c be p(f). Factor 12*w - 3*w**2 + c - 3 - 9.
-3*(w - 3)*(w - 1)
Suppose -2*k + 2 = u, 5*k = 2*u - 0*u + 14. Let n(l) = 4*l**2 - 2*l + 1. Let g be n(1). Factor -b**2 - 5*b**2 + 3*b**k + 4 - 3*b**g + 4*b**3.
(b - 2)**2*(b + 1)
Let b = -2420639/480 - -5043. Let f(y) be the third derivative of 0 + b*y**6 + 0*y**5 + 0*y**3 + 3*y**2 + 0*y + 0*y**4. Factor f(j).
j**3/4
Let d = 24916/3 + -8292. Solve 15*i**2 + 5/3*i**3 + d*i + 0 = 0 for i.
-8, -1, 0
Determine o, given that 84*o**4 - 6*o**2 + 8 + 2*o**3 - 85*o**4 + 3*o**3 - 4*o = 0.
-1, 2
Let n(w) be the third derivative of w**6/60 + 71*w**5/30 + 139*w**4/12 + 23*w**3 + 299*w**2. Factor n(r).
2*(r + 1)**2*(r + 69)
Let o(k) be the second derivative of -k**5/60 + k**4/3 - 8*k**3/3 - k**2 + 19*k. Let d(l) be the first derivative of o(l). Factor d(r).
-(r - 4)**2
Let h be 4/(-6)*(6 - 0). Let d be (-11)/h + (-11)/(-44). Factor 1/2*b**d + 0*b + 0 - b**2.
b**2*(b - 2)/2
Let d = 4558 - 18227/4. Solve -65/4*w**3 - 5*w + 0 + 15*w**2 - d*w**5 + 15/2*w**4 = 0.
0, 1, 2
Let x(m) = m**2 - 3*m - 2. Let z be x(4). Let k = -73721 - -73721. Factor -16/7*u**3 + k*u - 2/7*u**4 + 0 - 32/7*u**z.
-2*u**2*(u + 4)**2/7
Let v = 297 + -212. Let t = v + -82. Factor 2/3*c**2 + 4/3*c**t + 2/3*c**4 + 0 + 0*c.
2*c**2*(c + 1)**2/3
Let q be (785/(-3))/(9/(-27)). Let g = -5477/7 + q. Determine f so that 0 + 0*f - 2/7*f**4 - 12/7*f**3 - g*f**2 = 0.
-3, 0
Let n be -7*(-12)/210 - 14/(-5). What is m in n*m**3 + 16/5*m**2 + 0*m + 0 + 4/5*m**4 = 0?
-2, 0
Let u(h) = -2*h**4 - h**3 + h**2 + h - 1. Let m(j) = 9*j**4 + 3*j**3 - 42*j**2 + 33*j + 3. Let b(d) = m(d) + 3*u(d). Let b(l) = 0. What is l?
-4, 0, 1, 3
Let m(v) be the third derivative of 0*v**3 + 5/12*v**4 + 0 + 0*v**6 + 0*v + 7*v**2 - 1/4*v**5 + 1/42*v**7. Factor m(t).
5*t*(t - 1)**2*(t + 2)
Let i(w) = w**5 + w**4 - w**3 - w**2 - w + 1. Let p(d) = -d**5 - 3*d**4 + 2*d**2 + 2*d - 2. Let z(v) = -4*i(v) - 2*p(v). Factor z(l).
-2*l**3*(l - 2)*(l + 1)
Let y be 231/63 - 4/6. Let 112 + 4*r + 4*r**y - 108 + 8*r + 7*r**2 + 5*r**2 = 0. Calculate r.
-1
Let o(b) = -4*b - 14. Let h be o(-4). Let p be (h/8)/(2 + (-69)/36). Solve 6/11*x**2 - 2/11*x**4 - 2/11*x - 4/11 + 2/11*x**p = 0 for x.
-1, 1, 2
Factor i**4 - i**5 - 732*i**2 - 4*i**4 + i**3 - 1 + 1 + 735*i**2.
-i**2*(i - 1)*(i + 1)*(i + 3)
Let g be ((-2)/4)/(5 + 102/(-20)). Let p(i) be the third derivative of 0*i**3 - 1/12*i**4 + 0 + 0*i - 1/30*i**g + 4*i**2. Factor p(o).
-2*o*(o + 1)
Let p(i) be the third derivative of -i**6/24 + i**5/2 + 25*i**4/8 + 20*i**3/3 + 193*i**2. Solve p(z) = 0.
-1, 8
Let m(q) be the first derivative of 3*q**5/10 + 27*q**4/8 + 15*q**3/2 + 21*q**2/4 - 477. Factor m(n).
3*n*(n + 1)**2*(n + 7)/2
Let j(m) be the second derivative of m**7/42 - m**5/10 + m**3/6 + 3*m - 8. Let j(n) = 0. What is n?
-1, 0, 1
Let x(k) be the third derivative of k**9/3024 - k**8/280 + 3*k**7/280 - k**6/90 + k**3 + 34*k**2. Let f(a) be the first derivative of x(a). Factor f(v).
v**2*(v - 4)*(v - 1)**2
Let u(t) be the third derivative of 1/240*t**6 + 0*t + 0 + 2*t**2 + 1/10*t**5 + t**4 + 16/3*t**3. Factor u(v).
(v + 4)**3/2
Suppose -5*m - 35 = 5*q, 3*m + 28 = -46*q + 42*q. Let s(x) = -x - 3. Let z be s(-5). Determine u so that 8/5*u**z + 4/5*u + 4/5*u**3 + m = 0.
-1, 0
Let k be 7/1 - (4 - 1). Factor 26*n**4 - 4*n**5 + 0*n**3 - 30*n**k + 8*n**3.
-4*n**3*(n - 1)*(n + 2)
Let h(t) = -14*t**4 + 66*t**3 + 31*t**2 + 7. Let a(l) = 7*l**4 - 32*l**3 - 16*l**2 - 4. Let w(c) = 7*a(c) + 4*h(c). Factor w(r).
-r**2*(r - 6)*(7*r + 2)
Factor -8/3*b - 16 + 1/3*b**2.
(b - 12)*(b + 4)/3
Let k = -40859/3 + 13392. Let o = -227 - k. Determine b, given that -1/3*b**5 + 0 + 0*b**2 - 1/3*b + 0*b**4 + o*b**3 = 0.
-1, 0, 1
Let q(g) be the third derivative of -23*g**2 - 1/20*g**4 - 1/300*g**6 + 0 - 3/5*g**3 + 1/30*g**5 + 0*g. Let q(l) = 0. What is l?
-1, 3
Let s(z) be the second derivative of -5*z**8/336 + z**7/7 - z**6/2 + 2*z**5/3 - z**2/2 + 6*z. Let b(f) be the first derivative of s(f). Factor b(o).
-5*o**2*(o - 2)**3
Let p(q) be the third derivative of q**5/90 - 11*q**4/48 + 2*q**3/9 + 52*q**2. Solve p(v) = 0.
1/4, 8
Let c(s) = -3*s**3 - 14*s**2 - 7*s - 3. Let m be c(-4). Let j be 2*m/(112/(-60)). Determine k so that 0 - 9/2*k**2 + 9*k**3 + 3/4*k + 9/4*k**5 - j*k**4 = 0.
0, 1/3, 1
Let q be (