1/6*n**4 - 1/30*n**6. Determine k, given that q(k) = 0.
-1, 1
Determine c, given that -1/5*c**2 + 1/5*c**3 + 0 + 0*c = 0.
0, 1
Let b(f) be the first derivative of 1/12*f**3 + 0*f + 1/8*f**2 - 2 - 1/8*f**4. Let b(q) = 0. What is q?
-1/2, 0, 1
Let g(u) be the first derivative of 3 + 3/10*u**4 + 0*u**2 + 0*u + 2/15*u**3 + 4/25*u**5. Find r, given that g(r) = 0.
-1, -1/2, 0
Find l, given that -12*l**4 + 9/2*l**5 + 13/2*l**3 + 0*l + 0 - l**2 = 0.
0, 1/3, 2
Let v(f) be the first derivative of 0*f + 16/5*f**5 - 3 + 7/2*f**4 + 0*f**2 + f**6 + 4/3*f**3. Factor v(t).
2*t**2*(t + 1)**2*(3*t + 2)
Let n be 18/(-33) + (-320)/(-264). Suppose -1/3*q**5 + 1/3*q**2 + q**3 + 0 - 1/3*q**4 - n*q = 0. What is q?
-2, -1, 0, 1
Find f, given that -1/2 + 1/2*f**2 + 0*f = 0.
-1, 1
Determine l so that -1 + 0 - 6*l**2 - 6*l**2 + 13*l**2 = 0.
-1, 1
Let q be 8/(-28) + 118914/32823. Let m = q - 2/521. Let -2/3*i**5 + 20/3*i**2 - 10/3*i - 20/3*i**3 + 2/3 + m*i**4 = 0. Calculate i.
1
Determine a, given that -4/3*a + 4/9*a**2 + 8/9 = 0.
1, 2
Let h(z) be the second derivative of -1/3*z**4 + 2/3*z**3 - 9*z + 4*z**2 + 0. Determine q, given that h(q) = 0.
-1, 2
Suppose 3*m - 6*o + 9 = -o, 4*m + 2*o - 14 = 0. Factor -4*b**4 + b**4 - b**2 + 2*b**4 + 2*b**m.
-b**2*(b - 1)*(b + 1)
Let d(q) be the first derivative of -7/6*q**6 + 7/4*q**4 - 2/3*q**3 + 0*q + 0*q**2 - 1 + 2/5*q**5. Suppose d(v) = 0. Calculate v.
-1, 0, 2/7, 1
Suppose 4 + 1008*q - 11*q**3 - 21*q**3 + 68*q**2 - 1048*q = 0. Calculate q.
1/8, 1
Let f(k) be the second derivative of 1/40*k**5 + 0*k**4 - 1/42*k**7 - 8*k + 0*k**3 - 1/60*k**6 + 0*k**2 + 0. Find y such that f(y) = 0.
-1, 0, 1/2
Let i(o) = 2*o**2 + 1. Let k be i(1). Solve 1/3*y - 1/3*y**k + 1/3*y**2 - 1/3 = 0 for y.
-1, 1
Let o(p) be the second derivative of -p**6/120 - p**5/20 - p**4/8 - p**3/6 + 3*p**2/2 + p. Let z(w) be the first derivative of o(w). Factor z(u).
-(u + 1)**3
Let v = 26 - 24. Find x, given that 6*x + 8*x + 4 - 28*x**3 + 14*x**5 - 2*x**2 + 4*x**4 - 6*x**v = 0.
-1, -2/7, 1
Solve 22/17*w - 2/17*w**2 + 24/17 = 0 for w.
-1, 12
Solve 17/9*t**3 - 2/9 - 4/9*t**4 - 8/3*t**2 + 13/9*t = 0 for t.
1/4, 1, 2
Let k be (-2)/9 - 6/(-27) - -1. Let y(s) be the first derivative of -2/7*s**2 - 2/21*s**3 + k - 2/7*s. What is w in y(w) = 0?
-1
Factor 2/3 + 4/3*w + 2/3*w**2.
2*(w + 1)**2/3
Factor 0*s**3 + 4/5*s + 2/5*s**4 - 6/5*s**2 + 0.
2*s*(s - 1)**2*(s + 2)/5
Let d(q) = -q**3 - q**2. Let y(w) = 5*w**4 - 10*w**3 - 20*w**2 - 5*w. Let o(j) = 15*d(j) - y(j). Factor o(c).
-5*c*(c - 1)*(c + 1)**2
Let i be 4 + (-40)/8 - (-25)/11. Factor 2/11*x**4 + 40/11*x + 36/11*x**2 + i*x**3 + 16/11.
2*(x + 1)*(x + 2)**3/11
Factor -133*y - 85*y + 5*y**2 + 245 + 288*y.
5*(y + 7)**2
Let j = 98/9 + -650/63. Solve 2/7*w**2 + 0 + j*w = 0.
-2, 0
Let h(a) be the second derivative of -2*a**6/15 - 3*a**5/5 - a**4 - 2*a**3/3 + 20*a. What is m in h(m) = 0?
-1, 0
Let k(q) be the first derivative of 2*q**3/3 - 8*q**2 + 32*q + 11. Factor k(b).
2*(b - 4)**2
Suppose 0*m = -4*m. Let g be (-3)/2*2*(-4)/6. Determine j so that -1/4*j**g + 1/4*j + m = 0.
0, 1
Factor -2 - 10/3*f**2 - 2/3*f**3 - 14/3*f.
-2*(f + 1)**2*(f + 3)/3
Factor -2 - 7/2*x**2 + 11/2*x.
-(x - 1)*(7*x - 4)/2
Let p be (-68)/80 + 2 - 1. Let j(x) be the third derivative of -3/10*x**5 + p*x**6 - 2*x**2 - 1/9*x**3 + 0*x + 1/4*x**4 + 0. Factor j(k).
2*(3*k - 1)**3/3
Let a(l) be the third derivative of l**9/83160 - l**8/36960 - l**7/13860 + l**6/3960 - l**4/8 - 2*l**2. Let w(m) be the second derivative of a(m). Factor w(i).
2*i*(i - 1)**2*(i + 1)/11
Suppose b + 10 = -5*x, 3*b + 0*x = -x + 12. Suppose -8 = -7*u + 3*u. Suppose -12*m**2 - b*m + u*m**2 + m = 0. What is m?
-2/5, 0
Let f(u) be the first derivative of u**4/4 - 2*u**3/3 + u**2/2 + 29. Factor f(z).
z*(z - 1)**2
Let s be (-4 + 2)/1 + 65/25. Suppose -3/5*i**4 + 0 - 1/5*i**2 - s*i**3 - 1/5*i**5 + 0*i = 0. Calculate i.
-1, 0
Let h = -52 + 54. Let a(b) be the third derivative of 0 + 1/150*b**5 + 4/15*b**3 + 0*b + 1/15*b**4 - 3*b**h. Determine u so that a(u) = 0.
-2
Suppose m - r + 5*r = 24, 4*m = 5*r + 33. Suppose m - 4 = -2*p - 4*z, -5*z = -5*p + 10. Factor 2/3*a**4 + p + 4/3*a**2 + 1/3*a + 5/3*a**3.
a*(a + 1)**2*(2*a + 1)/3
Determine z so that 3*z**2 - 14*z**3 - 19*z**2 + 26*z**3 - 20*z + 8 = 0.
-1, 1/3, 2
Let w(u) be the second derivative of -u**6/150 - u**5/100 + 2*u. Factor w(s).
-s**3*(s + 1)/5
Suppose 5 + 5 = 5*v. Factor -w**3 + 0*w**2 + w**2 - 2*w + w - 3*w**v.
-w*(w + 1)**2
Let f(n) be the third derivative of -n**8/3360 - n**7/1120 + n**6/720 + 5*n**3/6 + 2*n**2. Let o(w) be the first derivative of f(w). Factor o(a).
-a**2*(a + 2)*(2*a - 1)/4
Suppose n - 11 = 2*g, g = -3*n - 0*g + 5. Let j(z) be the first derivative of 0*z + 1/15*z**6 + 0*z**2 - 2/25*z**5 - 1/10*z**4 - 1 + 2/15*z**n. Solve j(s) = 0.
-1, 0, 1
Let k = 231/5 + -45. Solve 4/5 + k*w + 2/5*w**2 = 0.
-2, -1
Let r(z) be the first derivative of 3*z**6 - 134*z**5/35 - 9*z**4/2 + 142*z**3/21 - 8*z/7 - 11. What is t in r(t) = 0?
-1, -2/9, 2/7, 1
Let z be ((-62)/(-155))/(2/10). Factor 1/4 - 1/8*x**z + 1/8*x.
-(x - 2)*(x + 1)/8
Let t = 78797/3 - 26510. Let f = 5179/21 + t. Determine n, given that -2/7 - 24/7*n**2 - 12/7*n - f*n**3 = 0.
-1/2
Let x(h) = 8*h**5 - 27*h**4 + 8*h**3 - 11*h. Let c(l) = -4*l**5 + 14*l**4 - 4*l**3 + 6*l. Let n(q) = -11*c(q) - 6*x(q). Factor n(d).
-4*d**3*(d - 1)**2
Let y(w) be the third derivative of -1/20*w**5 - 1/8*w**4 + 0*w - 3*w**2 + w**3 + 0. Let y(o) = 0. What is o?
-2, 1
Suppose -6*j + j + 5 = 0. Factor -j + 9*b**4 - 8*b**2 + 5*b + b - 6*b**3 + 0*b**4.
(b - 1)*(b + 1)*(3*b - 1)**2
Let y = -4 + 6. Suppose -2*t = -2 - 6. Factor -t*f**2 - 2*f - f + f + 3*f**y.
-f*(f + 2)
Let l be 20*5/(-30)*(-6)/4. Determine y, given that -2/3*y**l + 0*y - 4/3*y**2 + 0 + 4/3*y**4 + 2/3*y**3 = 0.
-1, 0, 1, 2
Suppose 5*j = 4*j. Let x = 3 + j. Solve -v + v**3 - 4*v**4 + 3 - x + 4*v**2 = 0 for v.
-1, 0, 1/4, 1
Let d(c) be the first derivative of 0*c**3 + 3/2*c**4 + 5 + 0*c**5 + 0*c - 3/2*c**2 - 1/2*c**6. Find s, given that d(s) = 0.
-1, 0, 1
Let s(z) be the first derivative of 7*z**5 + 5*z**4/2 - 35*z**3/3 - 5*z**2 - 8. Determine v so that s(v) = 0.
-1, -2/7, 0, 1
Let f(g) be the third derivative of -1/330*g**5 + 0 - 1/385*g**7 - 1/220*g**6 + 0*g + 0*g**3 - 2*g**2 - 1/1848*g**8 + 0*g**4. Let f(d) = 0. Calculate d.
-1, 0
Suppose -l + 1 = -5*h + 6*h, 2*l = -4*h + 2. Suppose -2*w + 1 + h = y, w - 14 = -2*y. Factor y*a - 7*a + 10*a + 12 + 3*a**2.
3*(a + 2)**2
Suppose -3*r + 3 = -3. Let x be (-3 + r)*(2 + -4). Factor -1/3 + 1/3*h**x + 0*h.
(h - 1)*(h + 1)/3
Let 1/3*p**5 + 2/3*p + 5/3*p**4 + 3*p**3 + 0 + 7/3*p**2 = 0. Calculate p.
-2, -1, 0
Let t(h) = h. Let v(q) be the second derivative of -q**4/12 + 4*q**3/3 - 4*q. Let j(p) = -24*t(p) + 3*v(p). Solve j(x) = 0 for x.
0
Let h(q) be the third derivative of -q**8/16 + 23*q**7/175 + 9*q**6/200 - 4*q**5/25 - q**4/10 - 20*q**2. Let h(f) = 0. What is f?
-2/5, -2/7, 0, 1
Suppose 3*x - 153 = 3*r, -3*x + 105 + 43 = -2*r. Let h = x - 183/4. Let 0 + 1/4*d**2 - h*d**4 - 1/4*d**3 + 1/4*d = 0. What is d?
-1, 0, 1
Let r(s) be the first derivative of -s**6/48 + s**5/40 + s**4/32 - s**3/24 + 13. Factor r(z).
-z**2*(z - 1)**2*(z + 1)/8
Let c(h) = 2*h**2 + 8*h - 10. Let d(a) = 3*a**2 + 7*a - 10. Let o(l) = -2*c(l) + 3*d(l). Determine s so that o(s) = 0.
-2, 1
Let m(a) be the second derivative of -a**7/4200 - a**6/300 - a**5/50 - a**4/15 - a**3/6 - 5*a. Let l(w) be the second derivative of m(w). Factor l(y).
-(y + 2)**3/5
Let n(i) be the third derivative of 3/56*i**4 - 8*i**2 + 0 + 1/7*i**3 + 1/140*i**5 + 0*i. Factor n(v).
3*(v + 1)*(v + 2)/7
Let v(s) = 2*s**2 + 6*s. Let g(r) = 6*r**2 + 17*r. Let c(u) = -u**2 - u + 3. Let p be c(-5). Let a(k) = p*v(k) + 6*g(k). Factor a(b).
2*b**2
Let y(q) be the second derivative of -q**4/12 - 7*q**3/6 + 11*q**2/2 + q. Let l be y(-8). Factor -43/2*b**2 - 14*b**l - 17/2*b - 1.
-(b + 1)*(4*b + 1)*(7*b + 2)/2
Find y, given that 4*y**2 + 8*y - 2 + 5*y - 8*y + 2*y = 0.
-2, 1/4
Let o(t) be the third derivative of -t**6/840 - t**5/84 - t**4/21 - 2*t**3/21 + 11*t**2. Factor o(i).
-(i + 1)*(i + 2)**2/7
Factor 21*i**2 + 0*i**5 - 5*i**2 - 2*i**5 - 12*i**4 + 6*i**5.
4*i**2*(i - 2)**2*(i + 1)
Let c(x) be the second derivative of x**8/840 - x**7/210 + x**5/30 - x**4/12 + x**3/