- 2*o**4 + 6*o**5 + 10*o**c = 0. What is o?
0, 1/3, 1
Suppose 4*y = 5*v - 12, -5*y - 30 = -10*y - 5*v. Factor -1/2*f**y + 0 + 0*f + 1/2*f**5 - 1/2*f**3 + 1/2*f**4.
f**2*(f - 1)*(f + 1)**2/2
Let i(n) be the third derivative of -4*n**7/525 + 3*n**6/100 - n**5/25 + n**4/60 + 5*n**2. Factor i(s).
-2*s*(s - 1)**2*(4*s - 1)/5
Suppose -z - 1 + 4 = 0. Suppose -r + 22 = 4*r - 3*d, -4*r - z*d = 4. Factor -4/7 + 22/7*q**r + 8/7*q**3 + 10/7*q.
2*(q + 1)*(q + 2)*(4*q - 1)/7
Let y(r) be the first derivative of 5*r**6/6 - 5*r**5 + 15*r**4/2 + 10*r**3/3 - 35*r**2/2 + 15*r - 12. What is o in y(o) = 0?
-1, 1, 3
Let h be -1 + (1 + 3)*(2 + -1). Let v(o) be the third derivative of 1/60*o**5 + 0*o + 0*o**4 - 1/6*o**3 - h*o**2 + 0. Factor v(f).
(f - 1)*(f + 1)
Suppose 3*w - 10 = 5. Find m such that -m**5 + 2*m**5 + 0*m**5 - 2*m**w = 0.
0
Let f be 4/(-24) + (-1)/(-2). Factor f*w**2 + 1/3*w + 0.
w*(w + 1)/3
Factor 1/2*i + 5/4*i**2 - 1/4*i**5 + 0 + 3/4*i**3 - 1/4*i**4.
-i*(i - 2)*(i + 1)**3/4
Let c = 3/80 - -1/16. Let u(s) be the first derivative of 0*s**2 - c*s**4 + 2/15*s**3 + 0*s - 1. Solve u(n) = 0.
0, 1
Let q(l) be the second derivative of -l**4/84 - 5*l**3/42 - 24*l. Factor q(d).
-d*(d + 5)/7
Let p(d) = d**3 + 7*d**2 - d - 2. Let q be p(-7). Let x = q + 0. Suppose -1/3 + 2/3*a**2 - 1/3*a - 1/3*a**x + 2/3*a**3 - 1/3*a**4 = 0. What is a?
-1, 1
Let y(s) be the third derivative of -s**8/1920 + 17*s**7/10080 - s**6/2880 - s**5/240 - s**4/4 - 2*s**2. Let g(t) be the second derivative of y(t). Factor g(r).
-(r - 1)*(2*r - 1)*(7*r + 2)/4
Let m(d) be the third derivative of -2*d**7/21 - 7*d**6/30 + 8*d**5/15 + 2*d**4/3 - 21*d**2. Suppose m(c) = 0. Calculate c.
-2, -2/5, 0, 1
Suppose -4*s**2 - 4*s**4 + 8*s**3 - s - 2*s + 3*s = 0. Calculate s.
0, 1
Let c(x) = -x**5 + x**4 - x**2 - 1. Let v(o) = -5*o**5 + o**4 + 2*o**3 + 2*o**2 - o - 7. Let l(r) = -4*c(r) + v(r). Let l(j) = 0. What is j?
-3, -1, 1
Let m(l) be the second derivative of 1/10*l**5 + 0*l**2 + 0 + 8*l - 1/3*l**3 + 0*l**4. Let m(v) = 0. What is v?
-1, 0, 1
Let c(h) = 5*h**2 - 3*h + 1. Let n(a) = -6*a**2 + 4*a. Let f(r) = -7*c(r) - 6*n(r). Let l be f(5). Factor 4/3*d**4 + 0 + 0*d - 2/3*d**l + 0*d**2 - 2/3*d**5.
-2*d**3*(d - 1)**2/3
Let c be (256/168)/((-12)/(-14)). What is k in 8/9*k - 2/9*k**3 - 2*k**5 + 16/3*k**4 - 52/9*k**2 + c = 0?
-2/3, 1, 2
Factor 4*o**2 + 16 - 32*o + 7*o**2 + 0 + 9*o**2 - 4*o**3.
-4*(o - 2)**2*(o - 1)
Let u = 3908/5 - 781. Factor -u*h + 0 - 3/5*h**2.
-3*h*(h + 1)/5
Suppose -u + 4*n + 3 = 0, -3*u + 9 = -4*n + 2*n. Factor -6*c**2 - 4*c + 16*c**4 - 32*c**u - 2*c**4 + 28*c**2.
2*c*(c - 1)**2*(7*c - 2)
Let f = 592 - 392. Let h be ((-540)/f)/((-6)/10). Factor 3/4*d**2 + 27/4 - h*d.
3*(d - 3)**2/4
Let k = 11 - 15. Let m be (-12)/(-18)*(-3)/k. Find x such that -1/2*x**4 - 3*x**2 - 2*x**3 - 2*x - m = 0.
-1
Let s = -95/7 + 99/7. Find d such that -2/7*d**3 + 0 - 2/7*d + s*d**2 = 0.
0, 1
Let w(a) be the second derivative of -5*a + 1/24*a**4 + 0*a**3 - 1/84*a**7 + 1/40*a**5 + 0 + 0*a**2 - 1/60*a**6. Factor w(v).
-v**2*(v - 1)*(v + 1)**2/2
Solve 3 - c**2 - 1 + 0*c - c + 0*c = 0 for c.
-2, 1
Let s(g) be the second derivative of -g**7/14 + g**6/10 + 9*g**5/20 - g**4/4 - g**3 - 39*g. Determine v, given that s(v) = 0.
-1, 0, 1, 2
Let m(d) be the first derivative of d**3 + 45*d**2 + 675*d - 4. Factor m(t).
3*(t + 15)**2
Factor 3/7*j**3 + 0 + 1/7*j**4 + 0*j + 2/7*j**2.
j**2*(j + 1)*(j + 2)/7
Let v = -1905/2 + 953. Let u be ((-1)/(-3))/((-2)/(-3)). Factor 1/2*n**4 + v - n**2 - n**3 + u*n + 1/2*n**5.
(n - 1)**2*(n + 1)**3/2
Suppose -y - 12 = -3*y. Solve 0*r**3 - 3*r**2 - r**4 + y*r - 5*r + 3*r**3 = 0.
0, 1
Let n(r) be the third derivative of -r**8/672 + r**7/105 - r**6/120 - r**5/30 + r**4/16 - 13*r**2. Suppose n(k) = 0. What is k?
-1, 0, 1, 3
Suppose 0 = 3*b + 5*d + 25, 4*b + 5*d + 27 = 2. Factor 9/7*k**3 + b*k**2 + 3/7*k**4 - 12/7*k + 0.
3*k*(k - 1)*(k + 2)**2/7
Let r(a) = -a**4 + 3*a**3 - a**2 + a. Let b = 5 + -1. Let z(d) = d**3 - d**4 + 2*d**b - 2*d - 5*d**3 + 2*d**2. Let s(v) = 3*r(v) + 2*z(v). Factor s(x).
-x*(x - 1)**2*(x + 1)
Let o(m) = 10*m**3 + 2*m**2 + 4*m - 12. Let b(l) = l**3 - 1. Let w = -1 + 4. Let i be w - 1 - 1/1. Let s(d) = i*o(d) - 12*b(d). Let s(x) = 0. Calculate x.
-1, 0, 2
Let g(o) be the second derivative of -o**4/48 + o**3/24 - 7*o. Solve g(v) = 0 for v.
0, 1
Let q(f) = -5*f - 4. Let z be q(-2). Suppose 4*c = 7*c - z. Let 0*o**c + 1/4*o**3 + 0*o + 0 = 0. What is o?
0
Determine z, given that 0*z**3 + 0 - 1/3*z**4 + 0*z + 1/3*z**2 = 0.
-1, 0, 1
Let a(q) be the second derivative of 0*q**4 + 0*q**3 - 1/100*q**5 + 1/210*q**7 - 6*q + 0*q**2 + 0*q**6 + 0. Suppose a(c) = 0. What is c?
-1, 0, 1
Let v(t) be the second derivative of -t**4/4 - 3*t**3/2 + 6*t**2 + 24*t. Factor v(g).
-3*(g - 1)*(g + 4)
Let g(f) = -f**3 - 14*f**2 - 12*f - 8. Let t be g(-13). Let q = -18 - t. Solve 0*k**2 + 4/3*k**4 + 2/3*k**5 + 0 + 2/3*k**q + 0*k = 0.
-1, 0
Let s(x) be the second derivative of x**5/5 - x**4/3 - 8*x**3/3 + 8*x**2 - 17*x + 3. Solve s(r) = 0 for r.
-2, 1, 2
Let 24 + m**3 + 48*m**2 - 29*m**3 + 55*m + 45*m = 0. What is m?
-1, -2/7, 3
Let -8/7 + 18/7*h**2 - 32/7*h = 0. Calculate h.
-2/9, 2
Factor -1/3*h**2 + h - 2/3.
-(h - 2)*(h - 1)/3
Let r be (6/10)/(4*9/40). Let -2/3*b**2 - 2/9*b**3 + r*b**4 + 0 + 2/9*b = 0. What is b?
-1, 0, 1/3, 1
Let j(i) be the second derivative of -i**9/30240 + i**8/6720 - i**7/5040 + 5*i**4/12 + 4*i. Let r(v) be the third derivative of j(v). Factor r(o).
-o**2*(o - 1)**2/2
Let 1/3*p**3 + 0 + 1/3*p + 2/3*p**2 = 0. What is p?
-1, 0
Let l(o) be the second derivative of -o**5/90 + o**4/54 + o**3/27 - o**2/9 - 12*o. Let l(v) = 0. What is v?
-1, 1
Suppose n + 10 = 3*n. Factor 2*j**4 - 9*j**2 - j**n - 4 + 10*j - 19*j**3 - 9*j**4 - 26*j - 16*j**2.
-(j + 1)**3*(j + 2)**2
Let r be (2/6*2)/((-4)/(-3)). Let a(z) be the first derivative of 0*z**2 + 1/5*z**5 + 0*z - r*z**4 + 1/3*z**3 + 1. Factor a(v).
v**2*(v - 1)**2
Factor -10/3*m**2 + 2/3*m**4 - 2/3*m**5 + 4/3*m + 0 + 2*m**3.
-2*m*(m - 1)**3*(m + 2)/3
Let u(s) = 4*s**2 + 2*s - 1. Let c be u(1). Let n = -48 + 289/6. Factor 2/3*h**4 + n*h**c + 2/3*h**2 + 0 + h**3 + 1/6*h.
h*(h + 1)**4/6
Let o(q) be the third derivative of q**6/96 - 13*q**5/240 + q**4/24 + q**3/6 - 11*q**2. Factor o(y).
(y - 2)*(y - 1)*(5*y + 2)/4
Let h be (4/5)/((-6)/(-30)). Let y(w) = -w**3 + w. Let a(g) = -3*g**3 + 3*g**2 + 7*g + 1. Let f(c) = h*y(c) - a(c). Factor f(j).
-(j + 1)**3
Determine u so that 2/11*u**2 + 2/11*u**3 + 0*u + 0 = 0.
-1, 0
Determine v so that -2/7 + 2/7*v**2 + 1/7*v - 1/7*v**3 = 0.
-1, 1, 2
Let j(s) = -s**3 + 3*s**2 - 2*s + 2. Let p = 4 - 7. Let z(l) = l**2 - l + 1. Let u(d) = p*j(d) + 6*z(d). Factor u(q).
3*q**2*(q - 1)
Let u = -23/8 - -27/8. Let 0*b + u*b**4 + 0*b**2 + 0*b**3 + 0 + 2*b**5 = 0. What is b?
-1/4, 0
Let r = -75/4 - -19. Let o = 75/332 + 2/83. Factor o + r*n**2 - 1/2*n.
(n - 1)**2/4
Let d(f) = -f**3 + 11*f**2 - 9*f - 9. Let m be d(10). Let z be (-5)/(-20) + m + 0. Let -1/2*h - 17/4*h**4 - z*h**5 - 21/4*h**3 - 11/4*h**2 + 0 = 0. Calculate h.
-1, -2/5, 0
Let q(d) be the first derivative of 3*d**5/25 - d**4/20 - 2*d**3/15 - 9. Determine s so that q(s) = 0.
-2/3, 0, 1
Let g = 3 - -1. Suppose -g*b = -0*b - 20. Factor -4*n**4 + 3*n**5 + n**3 - 5*n**2 + b*n**2.
n**3*(n - 1)*(3*n - 1)
Let s = -310/3 + 104. Let -s*u**4 + 2/3*u - 2*u**3 + 2/3*u**2 + 0 + 4/3*u**5 = 0. What is u?
-1, -1/2, 0, 1
Let 0*a**3 + 2/13*a**5 + 0*a + 0 + 4/13*a**4 + 0*a**2 = 0. Calculate a.
-2, 0
Let m = -2444/5 + 490. Factor -6/5*i**2 - 2/5*i**3 - 2/5 - m*i.
-2*(i + 1)**3/5
Let y(k) be the first derivative of k**6/33 + 4*k**5/55 - 4*k**3/33 - k**2/11 - 3. Factor y(v).
2*v*(v - 1)*(v + 1)**3/11
Let x = 13 - 10. Let z = -2 + 4. Factor -y**x - z*y**3 - 2*y**2 - y**3.
-2*y**2*(2*y + 1)
Let z(d) be the first derivative of 0*d**3 + 1/6*d**4 + 4/15*d**5 - 1 + 1/9*d**6 + 0*d + 0*d**2. Factor z(w).
2*w**3*(w + 1)**2/3
Let h be -2 + 0 - ((-30)/27 - 1). Let x(g) be the first derivative of 0*g + h*g**3 - 1/12*g**4 + 0*g**2 - 1. Factor x(v).
-v**2*(v - 1)/3
Let l(i) be the third derivative of -i**6/320 - i**5/80 + 12*i**2. Solve l(k) = 0.
-2, 0
Let b(p) be the second derivative of 15*p**4/4 + p**3 + 18*p. Factor b(s).
3*s*(15*s + 2)
Let g(f) = -f**3 + f**2 + 1. Let m(t) = -3*t**3 - t**2 +