7, 2
Find o such that -334/3*o**2 - 28*o - 5*o**3 + 88/3 = 0.
-22, -2/3, 2/5
Let -14/11*v**2 + 2/11*v**3 + 32/11*v - 24/11 = 0. What is v?
2, 3
Let l(t) be the second derivative of -t**6/2 - 9*t**5/5 - t**4 - 128*t + 2. Solve l(b) = 0.
-2, -2/5, 0
Let 14*g + 16*g**3 + 74/3*g**2 + 8/3*g**4 + 8/3 = 0. What is g?
-4, -1, -1/2
Suppose -1/6*f**2 + 1/3*f + 5/2 = 0. What is f?
-3, 5
Find m such that 15/2*m - 5 - 5/2*m**2 = 0.
1, 2
Suppose 26 - 22 = m. Let r(b) be the second derivative of -4/3*b**3 - 3*b + 1/6*b**m + 0 + 4*b**2. Determine l, given that r(l) = 0.
2
Let n(g) be the second derivative of -g**4/78 - 140*g**3/39 - 4900*g**2/13 + 478*g. Factor n(u).
-2*(u + 70)**2/13
Let c = 316/57 - 278/57. Factor c + 1/3*s - 1/3*s**2.
-(s - 2)*(s + 1)/3
Let x(r) be the second derivative of -r**9/5040 + 3*r**8/2240 - r**7/280 + r**6/240 - 7*r**4/6 - 7*r. Let y(k) be the third derivative of x(k). Factor y(f).
-3*f*(f - 1)**3
Let z be 12 + (-814)/88 + 2/(16/(-6)). Factor -5/2*w**z + 0 - 1/2*w**4 + w + 2*w**3.
-w*(w - 2)*(w - 1)**2/2
Factor 4*o - 10/3 - 2/3*o**2.
-2*(o - 5)*(o - 1)/3
Let j = -11289/5 - -2258. Let -3/5*r - 1/5*r**4 + 3/5*r**3 + 2/5 - j*r**2 = 0. Calculate r.
-1, 1, 2
Factor -56*y + 64*y + 1 - 1 + y**2.
y*(y + 8)
Suppose 0 = 11*j - 8*j - 48. Suppose -v**2 - v**2 + j*v + 20 - 2*v**2 = 0. What is v?
-1, 5
Let l(r) be the second derivative of -7*r + 2/9*r**3 + 0 - 1/15*r**5 + 0*r**4 + 0*r**2. Solve l(u) = 0.
-1, 0, 1
Factor 0 - 7*m**3 - 1/3*m**4 + 7*m + 1/3*m**2.
-m*(m - 1)*(m + 1)*(m + 21)/3
Let c be 4/(-7) + 323/(-3192)*-18. Determine d so that 5/4*d - 5/2*d**2 + 5/2 - c*d**3 = 0.
-2, -1, 1
Let f(w) be the third derivative of -4*w**7/35 + 9*w**6/10 - 97*w**5/40 + 9*w**4/4 - w**3 + 21*w**2. Factor f(p).
-3*(p - 2)**2*(4*p - 1)**2/2
Let w be 3 - 18/4 - 2/4. Let m(d) = -d**4 + 8*d**3 - 4*d + 3. Let h(r) = 6*r**4 - 57*r**3 + 27*r - 21. Let j(y) = w*h(y) - 15*m(y). Find v such that j(v) = 0.
-1, 1
Let s be ((-4)/(-4) + -1)/(-2). Let t be (3 + s)/12*20. What is m in 8*m**2 - 4 + 3 - 8*m**3 - 4*m**4 + 5*m**t - 3 + 4*m - m**5 = 0?
-1, 1
Let t be 27 - ((4 - 4) + -3). Suppose -4*f + 9*f = t. Let 16 - 24*y + 14 + f - 3*y**2 + 7*y**2 = 0. What is y?
3
Let w(h) be the second derivative of h**5 + 265*h**4/12 - 85*h**3 + 225*h**2/2 - 455*h. Factor w(y).
5*(y - 1)*(y + 15)*(4*y - 3)
Let t(c) = c**2 - 3*c - 2. Let k be t(4). Suppose 3 = r - k, 4*u + 3*r = 23. Factor -l**3 - 3*l**3 + 2*l**4 - 2*l**2 + 3*l**3 + 3*l**3 - u*l**5.
-2*l**2*(l - 1)**2*(l + 1)
Let c(y) be the third derivative of y**7/280 - y**6/30 - 7*y**3/2 - 13*y**2. Let n(a) be the first derivative of c(a). What is t in n(t) = 0?
0, 4
Let m = 6 - 8. Let g be 7 + 6/m + -1. Factor 0*y**4 + 6*y**3 + 0*y - y**5 - 3*y**g - 4*y - 2*y**4 + 4*y**2.
-y*(y - 1)**2*(y + 2)**2
Let h(x) be the first derivative of 0*x**2 - 3/5*x**5 + 0*x + 1/2*x**6 + 0*x**4 + 0*x**3 - 16. Factor h(n).
3*n**4*(n - 1)
Let v(y) = -y**2 + 109*y - 111. Let w(x) = 8*x**2 - 980*x + 1000. Let p(l) = -28*v(l) - 3*w(l). Solve p(k) = 0.
1, 27
Factor -53*i**3 + 16*i**3 + 35*i + 2*i**2 + 15*i**3 + 12*i**3 + 9*i**3.
-i*(i - 7)*(i + 5)
Let m(i) = -32*i + 4. Let y be m(-4). Let c be (-6)/4*y/(-18). Find b such that -c*b**2 + 3*b - 5*b**4 + 9*b**3 + 2*b**2 + 2*b**4 = 0.
0, 1
Let z(c) be the first derivative of 2*c**3/9 + 4*c**2/3 - 10*c/3 - 43. Factor z(j).
2*(j - 1)*(j + 5)/3
Let r be (-48)/(-12) + (7 - 1). Let g be 0/(2*(-25)/r + 3). Determine l, given that 2/5*l**3 + 0*l**2 + 0*l**4 + 0*l - 2/5*l**5 + g = 0.
-1, 0, 1
Let h be (-16)/24 + (-74)/(-18). Let m = -29/9 + h. Let -m*c**3 + 0 + 2/9*c**4 + 2/9*c - 2/9*c**2 = 0. Calculate c.
-1, 0, 1
Let m be ((-2)/(12/(-177))*-2)/(-17) - 3. Solve 4/17*t**2 + 2/17*t**5 + 4/17 + m*t**3 - 10/17*t - 8/17*t**4 = 0.
-1, 1, 2
Suppose 242*j = 232*j. Let k(u) be the third derivative of 1/24*u**5 - 1/42*u**7 + 8*u**2 + 0*u + j + 0*u**3 - 1/48*u**6 + 0*u**4. Solve k(w) = 0 for w.
-1, 0, 1/2
Let i(o) be the second derivative of -7*o**5/10 + o**4/3 + 7*o**3/3 - 2*o**2 + 359*o. Factor i(f).
-2*(f - 1)*(f + 1)*(7*f - 2)
Let w(i) = 2*i**4 - i**3 - i**2. Let x(a) = -9*a**4 + 37*a**3 - 43*a**2 - 35*a + 50. Let d(f) = 2*w(f) + x(f). Let d(k) = 0. Calculate k.
-1, 1, 2, 5
Let i(f) = -f**2 + f + 1. Let y(x) = 5*x**2 + 9*x - 2. Let v(u) = 6*i(u) + 2*y(u). Let r(g) = g - 1. Let h(l) = -6*r(l) + v(l). Determine p so that h(p) = 0.
-4, -1/2
Let h(t) be the first derivative of -1/45*t**5 + 1/18*t**2 + 0*t + 1/27*t**3 - 5 - 1/36*t**4. Factor h(g).
-g*(g - 1)*(g + 1)**2/9
Suppose 16*s = -0*s - 32. Let u be ((84/35)/s)/(3/(-10)). What is r in 0*r - 3/7*r**u + 0 - 1/7*r**5 + 0*r**2 - 2/7*r**3 = 0?
-2, -1, 0
Factor -8/3*o + 2/3*o**4 - 8 + 4*o**3 + 6*o**2.
2*(o - 1)*(o + 2)**2*(o + 3)/3
Let g = 315 + -311. Let t(i) be the third derivative of 7/120*i**6 + 0*i - 1/140*i**7 + 2*i**2 + 1/3*i**g - 1/3*i**3 + 0 - 23/120*i**5. Solve t(d) = 0 for d.
2/3, 1, 2
Let x(d) = 3*d**5 - 15*d**4 - 45*d**3 - 23*d**2 - 2*d. Let n(j) = -5*j**5 + 30*j**4 + 90*j**3 + 45*j**2 + 5*j. Let f(u) = 2*n(u) + 5*x(u). Solve f(o) = 0 for o.
-1, 0, 5
Determine a, given that 31/5*a + 4 + 1/5*a**4 + 3/5*a**2 - 7/5*a**3 = 0.
-1, 4, 5
Suppose 8*o = 3*o + 10. Let p(t) be the second derivative of 1/6*t**4 + o*t**2 + t**3 + 0 - 2*t. What is j in p(j) = 0?
-2, -1
Factor -6*y - 4*y - 35*y**2 + 30*y**2.
-5*y*(y + 2)
Let g(l) be the third derivative of -l**7/336 - l**6/240 + l**5/32 + l**4/96 - l**3/6 - 347*l**2. Solve g(r) = 0.
-2, -4/5, 1
Let h = -15 - 35. Let k be (h/(-15))/(-5) - (-22)/6. Factor 0 - 1/3*l**k + 1/3*l**2 + 2/3*l.
-l*(l - 2)*(l + 1)/3
Suppose -5*d - 2*n = -637, -3*d - 5*n = -8*n - 378. Let b = -125 + d. Factor 6/5 + 3/5*g - 3/5*g**3 - 6/5*g**b.
-3*(g - 1)*(g + 1)*(g + 2)/5
Let d be 4 + 0/(8 - 5). Determine n, given that -n**2 + 20*n**4 - 12*n**4 + n - 7*n**d - n**3 = 0.
-1, 0, 1
Factor 8/3*a**4 - 2/3*a**5 + 0*a**2 + 0*a - 8/3*a**3 + 0.
-2*a**3*(a - 2)**2/3
Let g be 2/(-4 - (-26)/4). Let m be (-168)/(-40) - (4 - 1). Suppose -2/5*a**4 + m*a**3 + 0*a + 0 - g*a**2 = 0. Calculate a.
0, 1, 2
Let d(n) be the third derivative of -n**6/120 - 5*n**5/4 - 57*n**4 + 722*n**3/3 - 610*n**2. Factor d(l).
-(l - 1)*(l + 38)**2
Let c = -137/612 - -19/68. Let j(f) be the first derivative of -4/27*f**3 + 0*f**2 - 2 + 0*f - c*f**4. Factor j(x).
-2*x**2*(x + 2)/9
Let x(y) = -11*y - 47. Let g be x(-4). Let o be (g + (-226)/(-76))*(-64)/1. Determine l so that -o + 16/19*l - 2/19*l**2 = 0.
4
Suppose 56 = -5*s + 7*s. Let z = s + 30. Determine m, given that 5*m**2 - 5 + 107*m - 49*m - z*m = 0.
-1, 1
Let u = 873 + -861. Let r(q) be the second derivative of u*q - 1/13*q**3 - 1/78*q**4 - 2/13*q**2 + 0. Determine g so that r(g) = 0.
-2, -1
Let g(i) = -7*i**2 + 310*i. Let x(v) = 10*v**2 - 310*v. Let t(y) = 5*g(y) + 4*x(y). Factor t(u).
5*u*(u + 62)
Factor 0 - 3/2*h**5 - 615/2*h**2 - 213/2*h**4 - 102*h - 621/2*h**3.
-3*h*(h + 1)**3*(h + 68)/2
Let p be 44/16 + -3 + 340/720. Let c(h) be the first derivative of -5 - 1/3*h**2 + p*h**3 + 0*h. Factor c(m).
2*m*(m - 1)/3
Let r(x) = -2*x. Let t be r(-2). Suppose -t*g + i + 12 = 0, -8 = -g - 2*i + i. Factor 0*m**3 - g*m + m + 3*m**3 + 0*m.
3*m*(m - 1)*(m + 1)
Let k(t) be the third derivative of -1/70*t**5 + 1/210*t**6 + 0 + 1/84*t**4 + 0*t**3 + 4*t**2 + 0*t. Let k(q) = 0. What is q?
0, 1/2, 1
Let p = -884/3 + 892/3. Determine x, given that 2/3*x**5 + p*x**4 + 2/3*x + 4*x**3 + 0 + 8/3*x**2 = 0.
-1, 0
Let a(d) be the first derivative of 5*d**6/6 + d**5 - 15*d**4/2 - 26. Factor a(b).
5*b**3*(b - 2)*(b + 3)
Let f(a) be the first derivative of -2*a**3/3 - 68*a**2 + 138*a + 79. Suppose f(z) = 0. What is z?
-69, 1
Let j = 58044/5 + -11608. Find t such that 2/5*t**2 - j + 2/5*t = 0.
-2, 1
Let q(s) = 71*s**3 - 172*s**2 + 116*s - 24. Let m be (1 - 1) + 2/(-4)*-4. Let w(i) = 18*i**3 - 43*i**2 + 29*i - 6. Let k(c) = m*q(c) - 9*w(c). Factor k(g).
-(g - 1)*(4*g - 3)*(5*g - 2)
Let -35/6*f**2 - 35/6*f**4 - 31/3*f**3 - f - f**5 + 0 = 0. What is f?
-3, -2, -1/2, -1/3, 0
Let d be (2624/3280)/(1/(-2) - 86/(-60)). Solve 0 + 9/7*w**2 - d*w - 3/7*w**3 = 0.
0, 1, 2
Let a = 893 - 884. Let l(k) be the second derivative of -a*k + 1/30*k**4 + 0 + 4/15*k**3 + 4/5*k**2. Let l(o) = 0. Calculate o.
-2
Suppose -56*q - 905 + 1409 = 0. Suppose -21/2*b**2 + 0 - 15/2*b**3 + q*b = 0. Wh