o that -3/4 + u*d - 3/4*d**2 = 0.
1
Find w such that -w**2 - 7*w**3 + 3*w**3 - 6*w**2 - w**2 = 0.
-2, 0
Let 11/3*h + 4/3*h**2 - 1 = 0. What is h?
-3, 1/4
Suppose -14*l = -12*l. Let t(u) be the second derivative of u + 0 - 1/42*u**7 - 1/10*u**6 - 3/20*u**5 + l*u**2 - 1/12*u**4 + 0*u**3. Solve t(f) = 0.
-1, 0
Let l = -22 + 25. Let b(d) be the first derivative of 5/4*d**4 + 1/3*d**3 - 1/2*d**2 + 3/5*d**5 + 0*d - l. Factor b(k).
k*(k + 1)**2*(3*k - 1)
Let n be 2 - ((-2)/(-2) + -2). Suppose 2 = -n*m + 8. Find p such that 2*p**2 - 4*p**3 - 3*p**2 + 7*p**3 - m*p**2 = 0.
0, 1
Let h(x) be the third derivative of -1/5*x**6 - 5*x**2 - 13/12*x**4 + 0*x - 23/30*x**5 - 2/3*x**3 + 0. What is t in h(t) = 0?
-1, -2/3, -1/4
Find k, given that 4 - 4*k - k + k - 4*k**2 + 4 = 0.
-2, 1
Factor -4 + 2*f**2 + f**5 + f**5 + 2*f**2 + 6*f + 5*f**3 - 13*f**3.
2*(f - 1)**3*(f + 1)*(f + 2)
Let r(d) be the third derivative of 5*d**8/48 - 26*d**7/105 - 17*d**6/600 + 53*d**5/150 + d**4/30 - 4*d**3/15 - 7*d**2. Find u, given that r(u) = 0.
-2/5, 2/7, 1
Let m(y) be the first derivative of 1/30*y**4 - 11 - 1/15*y**2 + 0*y + 0*y**3. What is q in m(q) = 0?
-1, 0, 1
Let x(d) be the first derivative of 0*d**2 + 2 + 0*d**4 + 0*d - 2/27*d**3 + 2/45*d**5. Factor x(u).
2*u**2*(u - 1)*(u + 1)/9
Let i = 32/53 + -5799/212. Let s = i - -27. Find t such that -1/4 - s*t**2 - 1/2*t = 0.
-1
Factor -7*x - 4*x + 15*x**3 - x + 3*x + 6*x**2.
3*x*(x + 1)*(5*x - 3)
What is b in 20 + 10*b + 5/4*b**2 = 0?
-4
Factor 0 + 2/3*k**3 - 4/3*k**2 + 2/3*k.
2*k*(k - 1)**2/3
Let z(f) = -f**2 + f + 10. Let a(l) = -4. Let u(i) = 10*a(i) + 4*z(i). Find c, given that u(c) = 0.
0, 1
Let n be ((-4)/(-18))/((-12)/(-36)). Find y, given that -n*y - 2*y**3 + 2/3*y**4 + 2*y**2 + 0 = 0.
0, 1
Let p be -1*16 - (3 + 0). Let x = p - -22. Determine b, given that 0*b**x - 4/5*b + 6/5*b**2 - 2/5*b**4 + 0 = 0.
-2, 0, 1
Let -13*j**3 - 2*j**3 - 24*j - 4 - 6*j**3 - 41*j**2 = 0. What is j?
-1, -2/3, -2/7
Factor 2/5*r**5 + 6/5*r**3 + 2/5*r**2 + 0*r + 0 + 6/5*r**4.
2*r**2*(r + 1)**3/5
Determine a so that -a**3 + 2/7 + 5/7*a - 1/7*a**4 - 1/7*a**2 + 2/7*a**5 = 0.
-1, -1/2, 1, 2
Suppose 0 = o - 4*o - 5*b, 5*b = -4*o. Let x(q) be the second derivative of 0*q**2 + 0*q**3 + 0*q**4 - 1/75*q**6 + 0 + o*q**5 + 2*q. Factor x(t).
-2*t**4/5
Let x be (-1)/(1/((-4)/28)). Determine g, given that -x*g**3 + 2/7*g**2 - 2/7 + 1/7*g = 0.
-1, 1, 2
Let m be -2*3/15*-5. Let i(w) be the third derivative of 0*w**3 + 0*w**4 - 1/300*w**6 - w**m + 0*w + 1/840*w**8 + 0*w**5 + 0 + 0*w**7. Factor i(g).
2*g**3*(g - 1)*(g + 1)/5
Let f(u) be the first derivative of 5*u**3/3 - 2. Find x such that f(x) = 0.
0
Let d(w) be the second derivative of -1/42*w**4 - 2/21*w**3 + 0 + 0*w**2 - 2*w. Suppose d(s) = 0. What is s?
-2, 0
Suppose -a + 1 = -3. Suppose a*p + p = 10. Factor -1/2*v**3 + 0 + 1/2*v**p + 0*v.
-v**2*(v - 1)/2
Let c = 1937/2 + -922. What is g in 36*g - 8 - 35/4*g**5 - 4*g**2 - 70*g**3 - c*g**4 = 0?
-2, 2/7, 2/5
Let -2*y**2 - 2 - 3 + 14*y - 25 + 6 = 0. Calculate y.
3, 4
Suppose -2*c + c + 4*v + 11 = 0, -3*v = 5*c - 9. Let f(b) be the third derivative of -2*b**2 + 0*b**c + 0*b - 1/90*b**5 + 1/36*b**4 + 0. Factor f(l).
-2*l*(l - 1)/3
Let c(j) be the third derivative of 8*j**2 + 0*j**3 + 1/8*j**4 + 0 - 1/20*j**5 + 0*j. Factor c(l).
-3*l*(l - 1)
Let c(u) = -u**5 - u**4 - 1. Let j(s) = 4*s**5 + 7*s**4 + 3*s**3 + 1. Let w(n) = -c(n) - j(n). Factor w(q).
-3*q**3*(q + 1)**2
Let w = 2/115 - -91/1380. Let y(b) be the first derivative of -1/4*b**2 + 3 - w*b**3 + 0*b. Suppose y(j) = 0. Calculate j.
-2, 0
Let f(o) be the second derivative of -o**6/90 - 7*o**5/60 - 5*o**4/36 + 7*o**3/18 + o**2 + 2*o + 33. Factor f(t).
-(t - 1)*(t + 1)**2*(t + 6)/3
Let d(p) be the second derivative of p**4/12 - p**2/2 + 9*p. Suppose d(f) = 0. What is f?
-1, 1
Let j(n) = 4*n**2 - 24*n + 36. Let p(a) = 4*a**2 - 24*a + 36. Let c(g) = -5*j(g) + 4*p(g). Find w such that c(w) = 0.
3
Let c be (-3836)/(-210) - 2/3. Determine y so that 28*y**3 + 0 + 10*y**4 + c*y**2 + 16/5*y = 0.
-2, -2/5, 0
Let k(j) be the first derivative of -2*j**3/9 + 2*j**2/3 - 4. Let k(m) = 0. Calculate m.
0, 2
Let q(j) be the first derivative of j + 10 + 1/2*j**2 - 1/3*j**3 - 1/4*j**4. Solve q(o) = 0 for o.
-1, 1
Let p(b) = -b**4 + b - 1. Let k(q) be the second derivative of 2*q + 0*q**2 - 1/6*q**4 + 1/6*q**3 + 0. Let v(i) = 2*k(i) - 2*p(i). Factor v(t).
2*(t - 1)**2*(t + 1)**2
Let p = 65/122 + -2/61. Determine h, given that -3/4*h**3 + 0*h + p*h**4 + 0 - 1/2*h**2 + 3/4*h**5 = 0.
-1, -2/3, 0, 1
Let t(b) be the first derivative of -8*b**3/9 - 5*b**2/3 - 2*b/3 + 17. Factor t(z).
-2*(z + 1)*(4*z + 1)/3
Let q(s) = 4*s + 3. Let u be q(-1). Let g be -3*u/(-3)*0. Factor 2/5 - 2/5*d**2 + g*d.
-2*(d - 1)*(d + 1)/5
Determine a so that -85*a**5 - a + 2*a**2 + 86*a**5 + 0*a**2 - 2*a**4 = 0.
-1, 0, 1
Suppose 0*h = -h - 3*f - 24, -f = 2*h + 38. Let y = h - -56/3. Factor 2/3*s**2 + 2/3*s - y*s**3 - 2/3*s**4 + 0.
-2*s*(s - 1)*(s + 1)**2/3
Let z be -2 + 2 + 2/1. Determine k, given that 4 - 4 + 4*k + z*k**2 + 0*k = 0.
-2, 0
Let d(o) be the second derivative of 0*o**2 - 9/20*o**5 + 1/10*o**6 - 2*o + 0 + 3/4*o**4 - 1/2*o**3. Determine v, given that d(v) = 0.
0, 1
Let h be ((-16)/(-3) + -8)*(-2)/12. Let a = -2/95 - -208/855. Let a - 2/3*n**4 + 2/9*n**5 - 2/3*n + h*n**2 + 4/9*n**3 = 0. What is n?
-1, 1
Suppose -g = -2*o - 0*g - 4, -3*g - 8 = 4*o. Let d = o - -8. Factor 2*z**2 - 3*z - z + d*z.
2*z*(z + 1)
Let v(s) be the third derivative of s**8/15120 + s**7/3780 + s**5/15 - 5*s**2. Let d(t) be the third derivative of v(t). Determine i so that d(i) = 0.
-1, 0
Factor -2*n**4 + 4*n**2 + 7*n**4 - 6*n**2 - 3*n**2.
5*n**2*(n - 1)*(n + 1)
Let f(w) be the first derivative of -5*w**6/27 + 14*w**5/45 + w**4/6 - 14*w**3/27 + 2*w**2/9 + 4. Find a, given that f(a) = 0.
-1, 0, 2/5, 1
Let i(x) be the first derivative of x**5/30 - x**4/12 - 3*x**2/2 - 2. Let j(s) be the second derivative of i(s). Factor j(p).
2*p*(p - 1)
Factor 4*y**4 - 2*y**4 + 4*y**3 + y**3 + 3*y**4 - 10*y**5.
-5*y**3*(y - 1)*(2*y + 1)
Determine a so that -36*a + 6*a**2 + 10*a**3 - 3*a**4 + 2*a**3 - 27 + 0*a**2 = 0.
-1, 3
Let h(t) be the third derivative of -5*t**8/336 - t**7/7 - t**6/3 + t**5/2 + 15*t**4/8 + 6*t**2. Let h(f) = 0. Calculate f.
-3, -1, 0, 1
Let u(t) be the first derivative of t**7/56 - t**6/40 - 3*t**5/80 + t**4/16 - 2*t + 3. Let b(f) be the first derivative of u(f). Solve b(z) = 0.
-1, 0, 1
Factor -32/7 - 2/7*q**2 - 16/7*q.
-2*(q + 4)**2/7
Let g = 25/68 - 2/17. Factor 0*u + 0 + 0*u**3 - g*u**4 + 1/4*u**2.
-u**2*(u - 1)*(u + 1)/4
Let t(i) = -64*i**2 - 96*i - 40. Let b(u) = -1. Suppose 4*k + 20 = -k. Let q(r) = k*b(r) + t(r). Factor q(y).
-4*(4*y + 3)**2
Let v be ((-3)/1)/(-9)*3/2. Let f(p) be the first derivative of v*p**2 + p**3 - 3 + 0*p. Factor f(u).
u*(3*u + 1)
Let v(t) = t + 7. Let z be v(-4). Factor 4 + 1 - 10*p + 2*p**3 - 4*p**z - 1 + 8*p**2.
-2*(p - 2)*(p - 1)**2
Let n(h) = h - 13. Let k be n(14). Solve -6*i + k + 2*i**2 + 6*i - 3*i**4 + 4*i**3 - 4*i + 0*i**4 = 0.
-1, 1/3, 1
Suppose j = 5*j. Determine t so that 3/4*t**3 + 3/2*t**2 + j*t + 0 = 0.
-2, 0
Let r = 33 - 30. Let i(m) be the second derivative of -1/12*m**4 - 1/6*m**r + 1/20*m**5 - 2*m + 0 + 1/2*m**2. Solve i(g) = 0 for g.
-1, 1
Let m(j) be the first derivative of -1/13*j**2 + 0*j + 4/39*j**3 + 10. Factor m(h).
2*h*(2*h - 1)/13
Let p(w) be the third derivative of 13*w**5/60 + w**4/24 - 5*w**3/6 + w**2. Let h(x) = 6*x**2 - 2. Let v(i) = 9*h(i) - 4*p(i). Factor v(b).
2*(b - 1)**2
Let b(t) = -t + 8. Let r be b(6). Suppose 1 = r*y - 5. What is s in -2*s**y + 2*s**5 + 1/2*s**2 + 0*s + 0 - 1/2*s**4 = 0?
-1, 0, 1/4, 1
Let s be (10/(-8))/((-9)/36). Factor 26 - 9*t**3 - 52*t**2 - 40*t - s*t**3 - 5 - 5.
-2*(t + 2)**2*(7*t - 2)
Determine p so that 4*p - p + 2*p**2 + 2*p + 3*p = 0.
-4, 0
Let j(b) = -b**5 + b**4 + b. Let y be 14/(-63) + (-76)/(-18). Let k(g) = -8*g**5 + 4*g**3 + 4*g**2 + 4*g. Let q(m) = y*j(m) - k(m). Factor q(n).
4*n**2*(n - 1)*(n + 1)**2
Let c(t) be the second derivative of t**7/105 + t**6/75 - t**5/50 - t**4/30 + 7*t + 1. Factor c(p).
2*p**2*(p - 1)*(p + 1)**2/5
Suppose 5*z - 14 = 3*h, 3*h - h = z. Suppose 2 - 3*r**2 + 3*r**2 + r + h*r**2 - 3*r**2 = 0. Calculate r.
-1, 2
Let g be (-41)/(-30) - ((-12)/15 + 1). 