Determine c so that 0*c**x + 0*c + 2/11*c**5 + 2/11*c**4 + 0 + 0*c**2 = 0.
-1, 0
Let f(c) be the third derivative of 0*c**3 + 1/90*c**5 - 2*c**2 + 0 + 1/36*c**4 + 0*c + 1/105*c**7 - 1/36*c**6. Suppose f(j) = 0. What is j?
-1/3, 0, 1
Let b = -20 + 22. Let w(o) be the second derivative of 1/10*o**6 + 3/2*o**b - 1/2*o**4 + o + 0*o**3 + 0*o**5 + 0. Let w(s) = 0. Calculate s.
-1, 1
Let c(i) be the second derivative of -49*i**6/120 + i**4/2 - i**3/2 + i. Let x(h) be the second derivative of c(h). Factor x(f).
-3*(7*f - 2)*(7*f + 2)
Let x(o) be the second derivative of o**8/56 + o**7/105 - 2*o**6/15 + 2*o**5/15 + o**2/2 + o. Let f(s) be the first derivative of x(s). Let f(k) = 0. What is k?
-2, 0, 2/3, 1
Factor -d**5 - 5*d**4 - 3*d**5 - 3*d**4.
-4*d**4*(d + 2)
Let f(l) be the first derivative of l**9/1512 - l**7/210 + l**5/60 + 4*l**3/3 - 4. Let z(u) be the third derivative of f(u). Determine h so that z(h) = 0.
-1, 0, 1
Let d(i) be the first derivative of 0*i - 3*i**2 + 7*i**3 + 3 - 15/4*i**4. Determine o so that d(o) = 0.
0, 2/5, 1
Let v(r) = r**3 + r**2 - r - 1. Let k be v(2). Suppose 0*a = 3*b - 3*a + k, 31 = 3*b + 5*a. Determine x so that 1/2*x + 9/4*x**b + 7/4*x**3 + 0 = 0.
-1, -2/7, 0
Let a be 1 - (-5)/(11 - -4). Let n be ((-6)/3)/(-1*1). Factor -a*r - 1/3*r**n - 4/3.
-(r + 2)**2/3
Let h(p) be the third derivative of -p**6/240 - p**5/30 - p**4/12 + 24*p**2. Factor h(m).
-m*(m + 2)**2/2
Let r(x) = 4*x + 0*x - 2*x**2 + 0*x. Let y(t) = -4*t**2 + 7*t. Suppose 40 + 4 = -4*d. Let g(f) = d*r(f) + 6*y(f). Factor g(v).
-2*v*(v + 1)
Let w be (1 + -7)/((-4)/(-4)). Let j be w/4 - (-33)/6. Factor -1/4*f**j + 0 + 0*f + 0*f**2 - 1/2*f**3.
-f**3*(f + 2)/4
Let m(v) = 4*v**4 - 5*v**3 + 4*v**2 - 3*v + 3. Let o(w) = -w + w**4 + 1 - 2*w**3 + w**2 - w**2 + w**3 + w**2. Let g(x) = 2*m(x) - 6*o(x). Factor g(u).
2*u**2*(u - 1)**2
Suppose -25*x - 6 = 3*z - 22*x, 3*z - x = 10. What is s in 1 - 1/2*s**z + 1/2*s = 0?
-1, 2
Suppose 0*u + 4*u = -5*g - 12, -3*u - 9 = g. Let j(i) be the third derivative of 0*i + g*i**3 - 1/240*i**6 + 0*i**5 + 1/48*i**4 + 0 - 2*i**2. Factor j(n).
-n*(n - 1)*(n + 1)/2
Let g = 9 + -5. Let o = g + 2. Factor 10*x + 0*x**3 + 2 + 0*x**2 - 18*x**3 + o*x**2.
-2*(x - 1)*(3*x + 1)**2
Solve 45*r + 44*r**2 + 51*r**2 - 92*r**2 = 0.
-15, 0
Let g(c) = 3 - 2 + 14*c - 9. Let k(p) be the third derivative of p**5/60 - 13*p**4/24 + 7*p**3/6 - 2*p**2. Let w(n) = 5*g(n) + 6*k(n). Factor w(f).
2*(f - 1)*(3*f - 1)
Let j = -27 - -34. Let o(d) be the third derivative of -1/3*d**3 - 4/105*d**j + 0 + 1/10*d**5 + 1/15*d**6 - 1/6*d**4 - 3*d**2 + 0*d. Factor o(q).
-2*(q - 1)**2*(2*q + 1)**2
Let k(o) be the third derivative of o**7/840 + o**6/180 + o**5/120 - o**3/3 + 2*o**2. Let i(f) be the first derivative of k(f). Factor i(s).
s*(s + 1)**2
Let i(c) = -7*c**3 - 2*c**2 - c. Let m be i(-1). Let u be (m/(-4))/((-1)/2). What is w in 0*w + 5*w**u + 0*w + 4*w - 8*w**2 - 2*w**4 + w**4 = 0?
0, 1, 2
Let w(y) be the third derivative of -y**5/150 + y**4/20 - 2*y**3/15 + 3*y**2. Factor w(z).
-2*(z - 2)*(z - 1)/5
Let i(c) be the second derivative of -c + 0 + 7/30*c**5 + 2/9*c**3 + 0*c**2 + 1/2*c**4. Solve i(o) = 0 for o.
-1, -2/7, 0
Suppose -32/3*f**2 - 26/9*f**3 + 0 - 2/9*f**4 - 8*f = 0. What is f?
-6, -1, 0
Determine c so that 4/5*c**3 - 4/5*c + 0 + 2/5*c**4 - 2/5*c**2 = 0.
-2, -1, 0, 1
Let d(o) be the third derivative of -7*o**8/120 + 6*o**7/25 - 109*o**6/300 + 6*o**5/25 - o**4/15 + 2*o**2. Suppose d(l) = 0. Calculate l.
0, 2/7, 1
Let f(s) be the second derivative of 0*s**4 + 2*s - 1/84*s**7 + 0*s**3 + 1/40*s**5 + 0 + 0*s**6 + 0*s**2. Find p, given that f(p) = 0.
-1, 0, 1
Determine l so that -5*l**4 + 2*l**4 + 2*l**4 - 2*l**4 - 6*l**5 = 0.
-1/2, 0
Factor -2/5*a**4 + 0 + 2*a**2 + 6/5*a**3 - 2/5*a**5 + 4/5*a.
-2*a*(a - 2)*(a + 1)**3/5
Let d(m) be the second derivative of m**6/120 - m**5/80 - m**4/48 + m**3/24 - 9*m. Find v such that d(v) = 0.
-1, 0, 1
Let h(t) be the second derivative of t**8/1680 + t**7/840 + t**3/2 + t. Let d(g) be the second derivative of h(g). Find i, given that d(i) = 0.
-1, 0
Factor -j**3 - 2*j**2 + 4*j**2 + 3*j**4 - 3*j - 4*j**2 - 1 + j**5 + 3*j**3.
(j - 1)*(j + 1)**4
Find j such that 0 - 5/3*j**3 - 10/3*j - 5*j**2 = 0.
-2, -1, 0
Solve 23*s - 4*s**5 - 2*s**4 - 3*s - s**4 + 8*s**2 + 8 - 16*s**3 - 13*s**4 = 0.
-2, -1, 1
Suppose 36 = 9*h - 0. Factor 1/2*l + 0 + 5/4*l**h + 3*l**3 + 9/4*l**2.
l*(l + 1)**2*(5*l + 2)/4
Let r(v) be the third derivative of -v**7/945 + 4*v**2. Solve r(p) = 0 for p.
0
Let -8/3*l - 16/3*l**2 + 4/3*l**4 + 8/3*l**3 + 4 = 0. Calculate l.
-3, -1, 1
Let l be 9/12*-2 + 2. Let c = 0 + l. Factor 1/2*b**2 - b + c*b**3 + 0.
b*(b - 1)*(b + 2)/2
Let o(q) = q**5 + q**3 - q**2 + q + 1. Let j(l) = 9*l**5 - 4*l**4 + l**3 - l**2 + 5*l + 5. Let v(y) = j(y) - 5*o(y). Factor v(z).
4*z**2*(z - 1)**2*(z + 1)
Factor -25*w - 26 + 10 - 4*w**3 - 7*w - 20*w**2.
-4*(w + 1)*(w + 2)**2
Let k = -75748/2553 + 3/851. Let h = k - -30. Factor 1/3*q**3 - 1/3*q + 0 + 1/3*q**4 - h*q**2.
q*(q - 1)*(q + 1)**2/3
Determine w, given that 0 + 1/5*w**2 - 1/5*w = 0.
0, 1
Factor 2*y**3 - 2*y + 8 + 2*y**2 + 0*y**3 - 10.
2*(y - 1)*(y + 1)**2
Suppose -6 = 3*m - 12. Factor 2*u - u**2 + 0*u**2 - m*u**2 + u**4.
u*(u - 1)**2*(u + 2)
Determine k, given that -3/8*k**2 - 3/4 + 9/8*k = 0.
1, 2
Determine x, given that 6/7*x**2 + 2/7*x - 8/7*x**3 + 0 = 0.
-1/4, 0, 1
Let w(s) be the third derivative of s**7/735 + s**6/84 + s**5/42 - 5*s**4/84 - 2*s**3/7 - 31*s**2. Let w(x) = 0. What is x?
-3, -2, -1, 1
Factor -2/5*g**3 + 0*g**2 + 0*g + 0 + 2/5*g**4.
2*g**3*(g - 1)/5
Let z be 4 + (0/1)/1. Suppose f - z*f + 4*f**3 + 2*f**3 - 3*f**2 = 0. Calculate f.
-1/2, 0, 1
Suppose 4*b - 15 - 7 = 3*c, b - 6 = c. Let q(z) be the third derivative of 0*z**3 - 1/72*z**b - z**2 + 0*z + 0 + 1/180*z**5. Factor q(u).
u*(u - 1)/3
Let b = -56 + 56. Factor -4/7*t + 4/7*t**3 - 2/7 + 2/7*t**4 + b*t**2.
2*(t - 1)*(t + 1)**3/7
Suppose 25 = x + n, 3*x - x = 4*n + 68. Let q be x/30 + (-2)/6. Determine z, given that q*z + 2/5 + 1/5*z**2 = 0.
-2, -1
Let g(t) = -t - 1. Let d be g(-3). Factor 1/3*u - 1/3*u**d + 0.
-u*(u - 1)/3
Let s(j) = 13*j**4 - 11*j**3 - 21*j**2 + 8*j - 5. Let t(l) = -6*l**4 + 6*l**3 + 11*l**2 - 4*l + 3. Let z(q) = -3*s(q) - 5*t(q). What is n in z(n) = 0?
-1, 0, 2/3
Let z(w) = 32*w**4 - 95*w**3 + 75*w**2 - 2*w - 10. Let a(h) = 33*h**4 - 95*h**3 + 75*h**2 - 3*h - 10. Let b(d) = 3*a(d) - 2*z(d). What is y in b(y) = 0?
-2/7, 1
Suppose 6 = -3*o + 6*w - 3*w, 0 = -5*o - 2*w + 11. Solve -1/2*y**2 + 3/2*y - o = 0 for y.
1, 2
Let k(d) be the second derivative of d**6/6 - 5*d**4/12 + 39*d. Suppose k(m) = 0. What is m?
-1, 0, 1
Suppose t = -4*w + 19, 5*w = -2*t - 0*w + 26. Let n = -1/48 - -17/48. Factor 0 + 4/3*a**2 + n*a**t + 4/3*a.
a*(a + 2)**2/3
Let t(m) = 4*m**4 + 4*m**3 + 6*m**2 - 6*m - 6. Let c = 3 - -3. Let r(l) = -l**4 - l**3 - l**2 + l + 1. Let a(w) = c*r(w) + t(w). Solve a(o) = 0.
-1, 0
Let q(p) = p + 2. Let y be q(-5). Let v be (-1)/y - (-5)/3. Factor -u + 3*u**2 + 0*u**3 - u**v - u**3.
-u*(u - 1)**2
Let w(d) be the third derivative of -d**6/48 - d**5/12 + 5*d**4/16 - 5*d**2. Find k, given that w(k) = 0.
-3, 0, 1
Let o = -3 + 8. Suppose r = o*r - 8. Factor -1/4*b + 0 + 1/4*b**r.
b*(b - 1)/4
Let m(j) be the third derivative of j**8/672 - j**6/120 + j**4/48 + 2*j**2. Factor m(y).
y*(y - 1)**2*(y + 1)**2/2
Suppose 16*h**2 + 9/7*h**4 - 78/7*h**3 - 50/7*h + 1 = 0. What is h?
1/3, 1, 7
Let n(k) = -2*k**3 - k**2 - k. Suppose 0 = -2*q - 0*q - 2. Let h(p) = p**3 - p**2. Let i = 0 + -1. Let m(c) = i*n(c) + q*h(c). Factor m(a).
a*(a + 1)**2
Find v, given that -6*v**3 + 4*v**2 - 3*v**5 - 2*v**2 + 5*v**5 + 2*v**2 = 0.
-2, 0, 1
Let z(t) be the third derivative of 0*t**3 + 0*t - 2/945*t**7 + 0*t**4 + 0 - 1/540*t**6 + 0*t**5 - 2*t**2 + 1/504*t**8. Find p, given that z(p) = 0.
-1/3, 0, 1
Factor -6*f**2 + 0*f**2 + 16*f**3 - 3*f**4 - 7*f**3.
-3*f**2*(f - 2)*(f - 1)
Let x(r) be the third derivative of 0 + 0*r - 1/150*r**5 + 1/20*r**4 + 5*r**2 + 0*r**3. Determine q so that x(q) = 0.
0, 3
Suppose 20*y - 52 = 7*y. Let l(f) be the first derivative of 2/3*f**3 - 1/2*f**2 + 2 - 1/4*f**y + 0*f. Find m such that l(m) = 0.
0, 1
Factor 0 - 2/5*l**3 - 4/5*l**2 + 0*l.
-2*l**2*(l + 2)/5
Let b = -5 + 4. Let z = b - -4. Factor i**3 - 4*i - 6*i**