Let f(d) = a(d) - 4*c(d). What is y in f(y) = 0?
-1, 0, 1
Let v(y) = -4. Let o(f) = 8*f**2 + 14*f + 4. Let m(j) = -o(j) - 2*v(j). Factor m(h).
-2*(h + 2)*(4*h - 1)
Let w(f) be the first derivative of f**4/4 + f**3/3 - 3. Let h(p) = p**4 + 5*p**4 + p**2 + 2*p**2 + 4*p - 5*p**4. Let k(l) = 2*h(l) + 10*w(l). Factor k(r).
2*r*(r + 1)*(r + 2)**2
Let g be -3 + (32/40 - (-1 - 2)). Let d(f) be the first derivative of 0*f**2 - 9/25*f**5 + 3 - 6/5*f**4 + g*f**3 + 0*f + 9/10*f**6. Solve d(c) = 0 for c.
-1, 0, 2/3
Let d = 152774/7 + -21824. Determine x, given that -4/7*x**2 + 0 + 0*x - d*x**3 = 0.
-2/3, 0
Let g(z) = z**2 + 34*z + 33. Let q be g(-33). Let l(b) be the third derivative of -1/30*b**5 + 0 + q*b + 1/18*b**4 - b**2 + 0*b**3. Solve l(p) = 0 for p.
0, 2/3
Suppose 0 = -d - 5 + 3. Let f be d*(3 + 10/(-3))*11. Determine a so that 4/3 + 10/3*a**4 + f*a + 34/3*a**3 + 14*a**2 = 0.
-1, -2/5
Let u(g) be the third derivative of g**6/1200 - g**5/300 - g**4/80 - 9*g**2 + 2. Factor u(h).
h*(h - 3)*(h + 1)/10
Let m(f) = f**2 - 15*f - 18. Let q be m(12). Let r = q + 164/3. Factor -7/3*j**5 + 0*j - j**3 + 0 + 4*j**4 - r*j**2.
-j**2*(j - 1)**2*(7*j + 2)/3
Let v(t) = -66*t**3 + 1077*t**2 + 4965*t + 5202. Let y(h) = 5*h**3 - 83*h**2 - 382*h - 400. Let l(o) = 2*v(o) + 27*y(o). Factor l(n).
3*(n - 33)*(n + 2)**2
Let z(w) = w**3 + 8*w**2 - 10*w - 6. Let j be z(-9). Factor 35*o**3 - 22*o**2 - 19*o**3 - j*o**2 - 10*o + 19*o**3.
5*o*(o - 1)*(7*o + 2)
Solve 290/9*k**3 + 12*k**4 + 100/3*k**2 + 14/9*k**5 - 16/3 + 56/9*k = 0 for k.
-3, -2, -1, 2/7
Let o = -5468 - -60152/11. Factor -6/11*h + 0*h**2 + 2/11*h**3 + o.
2*(h - 1)**2*(h + 2)/11
Factor -8/3*i**2 + 44/3*i + 16 - 4/3*i**3.
-4*(i - 3)*(i + 1)*(i + 4)/3
Find o such that -139/10*o**3 - 1/10*o**5 + 20 - 11/5*o**4 + 14*o - 89/5*o**2 = 0.
-10, -2, -1, 1
Let f(p) be the first derivative of -27*p - 9*p**2 + 9/2*p**4 + 10 + 3/5*p**5 + 8*p**3. Determine h, given that f(h) = 0.
-3, -1, 1
Let v(j) = 2*j**2 - j - j**2 + 0*j**2 + 3. Let m(d) = -d - 23. Let l be m(-26). Let f(q) = q**2 + q + 1. Let o(c) = l*f(c) - v(c). What is p in o(p) = 0?
-2, 0
Suppose 17/2*s + 0 + 2*s**4 + 63/2*s**3 - 42*s**2 = 0. Calculate s.
-17, 0, 1/4, 1
Let a(z) be the second derivative of z**7/189 + 4*z**6/45 + 19*z**5/90 - 2*z**4/9 - 20*z**3/27 - 475*z - 1. Solve a(f) = 0.
-10, -2, -1, 0, 1
Let n(x) be the second derivative of 1323*x**5/20 + 105*x**4/4 - 136*x**3 + 96*x**2 - 456*x. Let n(b) = 0. Calculate b.
-1, 8/21
Let y(o) be the first derivative of o**6/10 - 14*o**5/25 + 11*o**4/10 - 4*o**3/5 - o**2/10 + 2*o/5 - 254. Factor y(z).
(z - 2)*(z - 1)**3*(3*z + 1)/5
Factor 2/3*w**2 - 8/3*w - 8.
2*(w - 6)*(w + 2)/3
Factor 5796 + 5802 + 16*v**3 - 4*v**4 - 11598 + 56*v + 76*v**2.
-4*v*(v - 7)*(v + 1)*(v + 2)
Let n(q) be the second derivative of -q**5/20 + 5*q**4/3 - 39*q**3/2 + 81*q**2 - 335*q. Factor n(h).
-(h - 9)**2*(h - 2)
Let x(r) be the first derivative of -r**4/8 - r**3/2 + 49*r**2/4 - 45*r/2 + 135. Let x(p) = 0. Calculate p.
-9, 1, 5
Suppose 6 = -2*l - 2*y, l + 13 = 2*y + 28. Find b, given that 0 + 6/5*b**l - 3*b**2 - 9/5*b = 0.
-1/2, 0, 3
Let m(v) be the second derivative of v**6/1440 - v**5/240 - v**4/32 - 3*v**3/2 + 6*v. Let w(c) be the second derivative of m(c). Factor w(l).
(l - 3)*(l + 1)/4
Let q(g) = 108*g**2 + 4*g**4 - 97*g**2 - 12*g**3 + 3 + 0. Let i(y) = 12*y**4 - 36*y**3 + 34*y**2 + 10. Let h(f) = -3*i(f) + 10*q(f). Factor h(a).
4*a**2*(a - 2)*(a - 1)
Let n = 68 - 58. Let h be (-30)/(-7)*n/25. Factor -12/7*w**2 - h*w**3 - 4/7*w**4 - 4/7*w + 0.
-4*w*(w + 1)**3/7
Factor -1/5*u**5 + 8/5 + 26/5*u**3 + 4/5*u**4 + 44/5*u**2 + 31/5*u.
-(u - 8)*(u + 1)**4/5
Let a(v) = -4*v**2 - 302*v + 17. Let n(c) = c**2 + 50*c - 3. Let g(t) = -6*a(t) - 34*n(t). Factor g(y).
-2*y*(5*y - 56)
Let p(t) be the second derivative of -t**4/4 - 3*t**3/2 + 6*t**2 + 79*t. Factor p(f).
-3*(f - 1)*(f + 4)
Let q(l) be the third derivative of l**6/600 + l**5/75 - l**4/120 - 2*l**3/15 - 59*l**2 - 2. Find d such that q(d) = 0.
-4, -1, 1
Suppose 2*a - 6 = -0*a. Let b be ((-30)/(-9) - a)*(0 - -4). Find r, given that 0*r**3 + b*r**5 + 0 - 14/9*r**4 + 0*r + 2/9*r**2 = 0.
-1/3, 0, 1/2, 1
Suppose 25 = 5*c - 4*n - n, -5*n = 2*c + 4. Suppose -3*l = c*j, -4*j + 6*l = 3*l - 14. What is z in -z**4 - 2*z + 3*z**4 - 2*z - 6*z**j = 0?
-1, 0, 2
Let i be 60/(-8)*(-36)/45. Let x(g) be the second derivative of -2*g**3 - i*g**2 + 0 + 3/20*g**5 - g + 1/4*g**4. Let x(k) = 0. Calculate k.
-2, -1, 2
Let d(y) = -2*y**2 - 8*y + y**2 + 2*y - 5 - 1. Let a be d(-2). Factor 6/5 - a*z + 2/5*z**3 + 2/5*z**2.
2*(z - 1)**2*(z + 3)/5
Let y(o) be the first derivative of o**5/10 - o**4/2 + 2*o**3/3 - 13*o - 11. Let w(m) be the first derivative of y(m). What is d in w(d) = 0?
0, 1, 2
Let r(v) be the first derivative of -7*v**6/1440 - v**5/96 + v**4/48 - 14*v**3/3 + 23. Let m(a) be the third derivative of r(a). Let m(p) = 0. What is p?
-1, 2/7
Let d(k) be the first derivative of k**3/12 + 9*k**2/2 + 35*k/4 + 42. Solve d(j) = 0 for j.
-35, -1
Let b(k) be the second derivative of -k**7/98 - k**6/35 - 77*k. Factor b(r).
-3*r**4*(r + 2)/7
Let p(o) = -o**3 - 7*o**2 - 14*o - 15. Let i be p(-5). Suppose i*c = -0*c + 10. Factor -4/3*g + 10/3 + 2/15*g**c.
2*(g - 5)**2/15
Let x = 229 - 227. Let k(s) be the second derivative of 0 + 2*s + 1/12*s**4 - s**3 + 9/2*s**x. Find w, given that k(w) = 0.
3
Let r = -527 - -527. Let c(v) be the first derivative of r*v + 1/3*v**3 + 0*v**4 + 4 + 0*v**2 - 1/5*v**5. Let c(n) = 0. Calculate n.
-1, 0, 1
Suppose 0*l + 2*l - 4 = 0. Let 5 + 5 - l - 15*x + 5*x**2 + 2 = 0. What is x?
1, 2
Determine c, given that 80 - 140*c**3 - 11*c + 735*c**4 - 13*c + 2*c - 635*c**2 - 18*c = 0.
-4/7, 1/3, 1
Let w(a) be the first derivative of 3*a**7/560 - a**6/480 - 3*a**5/80 + a**4/32 + 2*a**3/3 - 31. Let o(v) be the third derivative of w(v). Factor o(s).
3*(s - 1)*(s + 1)*(6*s - 1)/4
Let c = -20 + 22. Factor 8*k**c - 3*k**2 - 2*k - 3*k**2 + 4*k.
2*k*(k + 1)
Let -5/6*a**4 + 0 - 1/6*a**3 + 1/6*a**5 + 0*a + 5/6*a**2 = 0. What is a?
-1, 0, 1, 5
Factor 104*u**3 - 79*u**3 - 21*u**3 + 68*u**2 + 112 + 176*u.
4*(u + 1)*(u + 2)*(u + 14)
Let d(n) be the third derivative of -7*n**6/180 + n**5/10 - n**4/18 + 418*n**2. Solve d(p) = 0.
0, 2/7, 1
Let w = -48 - -51. Let a(u) be the first derivative of 2*u**w - 2*u**2 - u**4 + u + 2 + 1/5*u**5. Factor a(l).
(l - 1)**4
Let d(y) be the first derivative of -y**4 - 52*y**3 + 80*y**2 - 584. Find o such that d(o) = 0.
-40, 0, 1
Let y = 10456/5 - 2090. Factor -y*c + 3/5 + 3/5*c**2.
3*(c - 1)**2/5
Let o(w) be the second derivative of w**5/15 + w**4 - 8*w**3/3 - 40*w**2/3 - 25*w + 7. Factor o(u).
4*(u - 2)*(u + 1)*(u + 10)/3
Let d(q) be the first derivative of 1/24*q**4 - 1/180*q**5 - 8 + 2*q**2 + 0*q + 0*q**3. Let u(b) be the second derivative of d(b). Determine h so that u(h) = 0.
0, 3
Suppose 0 = -70*d + 332*d - 524. Find k such that -1/2*k**4 - d*k + 3/2 - k**2 + 2*k**3 = 0.
-1, 1, 3
Let v(h) be the second derivative of -5*h**9/12096 - h**8/2240 + h**7/1680 + 6*h**3 - 3*h. Let u(x) be the second derivative of v(x). Factor u(l).
-l**3*(l + 1)*(5*l - 2)/4
Let z(j) be the first derivative of -3*j**4/4 + j**3 + 15*j**2/2 + 9*j - 841. Factor z(m).
-3*(m - 3)*(m + 1)**2
Let f = 51 - 39. What is j in f*j + 0*j**3 + 3*j**3 + 13*j**2 + 2*j**2 = 0?
-4, -1, 0
Let d(n) be the first derivative of 4 + 0*n - 1/20*n**5 - n**2 - 1/8*n**4 + n**3. Let a(i) be the second derivative of d(i). Suppose a(b) = 0. Calculate b.
-2, 1
Suppose 2*j - 24 = -0*j. Let z be ((-54)/(-20))/(2 + j/(-15)). Factor 3*y - z*y**2 - 1.
-(3*y - 2)**2/4
Suppose 5*x + 5*b = -80, -5*x = -8*x - 2*b - 47. Let g be (5/(-1))/x + (-10)/66. Find m such that -4/11*m + 0 + 2/11*m**2 + g*m**3 = 0.
-2, 0, 1
Factor 582*a + 3*a**2 - 4448 + 32609 + 66.
3*(a + 97)**2
Let b(s) be the second derivative of s**4/12 - 8*s**2 + 4*s + 3. Factor b(c).
(c - 4)*(c + 4)
Suppose 0 = -3*l - 51 + 57. Let -34*u + 24*u + 15*u**3 - 5*u**l + 5*u**4 - 2*u**5 - 3*u**5 = 0. Calculate u.
-1, 0, 1, 2
Let z(j) be the first derivative of 0*j - 4/3*j**3 - j**4 + 4/5*j**5 + 7 + 0*j**2 + 2/3*j**6. Solve z(v) = 0.
-1, 0, 1
Let r be (-2)/7 - (-27)/(1323/14). Factor 5/6 - 5/6*b**2 + r*b.
-5*(b - 1)*(b + 1)/6
Let x = -762 - -762. Let z(t) be the third derivative of -8*t**2