 of i**6/180 - i**5/45 + i**4/36 - 13*i**2. Factor q(s).
2*s*(s - 1)**2/3
Let i be (-6)/(2 + -3 + -1). Let u(o) = -o**2 - o. Let n(y) = 47*y**2 - 58*y + 16. Let c(s) = i*n(s) - 6*u(s). Let c(g) = 0. What is g?
4/7
Suppose c - 25 - 22 = 0. Let d be (-6)/24 + c/28. Suppose 20/7*x**3 + d*x + 2/7 + 2/7*x**5 + 20/7*x**2 + 10/7*x**4 = 0. Calculate x.
-1
Let -78/7*g**3 + 116/7*g**2 + 18/7*g**4 - 72/7*g + 16/7 = 0. Calculate g.
2/3, 1, 2
Let b(j) be the first derivative of -j**8/1176 + 8*j**7/735 - 3*j**6/70 + 9*j**4/28 - 4*j**2 + 8. Let h(u) be the second derivative of b(u). Factor h(g).
-2*g*(g - 3)**3*(g + 1)/7
Suppose 3*w - 9*w**2 - 4*w + 2*w**2 + 2 + 6*w**2 = 0. Calculate w.
-2, 1
Let a be 20/35*126/4. Suppose -a*y - 3/4*y**3 - 12 - 27/4*y**2 = 0. What is y?
-4, -1
Let x = 6 - 24. Let n be (-76)/x - 2/9. Suppose -4*v**n + 0*v**2 + 2*v**3 + 0*v**2 + 2*v**5 = 0. Calculate v.
0, 1
Let g = -4/5 + 17/15. Let l = 1/3 + g. Find j such that -1/3*j**3 - 2/3*j**2 + l + 1/3*j = 0.
-2, -1, 1
Factor -12*f**2 + 2*f**3 - 5*f**3 + 4*f**3 + 16 + 3*f**3.
4*(f - 2)**2*(f + 1)
Let b(l) be the third derivative of -l**5/300 - l**4/15 - 8*l**3/15 - 7*l**2. Factor b(s).
-(s + 4)**2/5
Let r(g) be the first derivative of -g**8/3360 + g**7/840 + g**6/720 - g**5/120 + g**3 + 6. Let n(v) be the third derivative of r(v). Solve n(x) = 0.
-1, 0, 1, 2
Let v(s) be the third derivative of s**7/15 - s**6/12 - 3*s**5/10 + 5*s**4/12 + 2*s**3/3 + 4*s**2. What is k in v(k) = 0?
-1, -2/7, 1
Let k(z) = z**3 - 6*z**2 - 8*z + 9. Let y be 7 - 0*(-1 + 2). Let f be k(y). Solve -f*i + 2/3 - 8/3*i**2 = 0.
-1, 1/4
Let v(g) be the first derivative of -g**7/420 + g**5/20 + g**4/6 - 2*g**3/3 - 2. Let o(b) be the third derivative of v(b). Let o(s) = 0. Calculate s.
-1, 2
Let t = -35 + 109/3. Let c(y) be the first derivative of -t*y**2 - 1 - 5/9*y**3 + 4/3*y. Determine k, given that c(k) = 0.
-2, 2/5
Let c = -10 + 11. Let b be 0/(-2) + 2 - -3. Suppose a**2 - b + 9*a - c - a**2 - 3*a**2 = 0. What is a?
1, 2
Let i(d) be the first derivative of d**8/3024 + d**7/945 - 9*d**2/2 - 5. Let l(c) be the second derivative of i(c). Factor l(u).
u**4*(u + 2)/9
Let v(h) be the second derivative of 2*h**6/15 - h**5/5 - 2*h**4/3 + 10*h. Find z, given that v(z) = 0.
-1, 0, 2
What is n in 0 - 27/8*n**2 + 3/8*n**4 - 27/8*n**3 + 9/8*n**5 - 3/4*n = 0?
-1, -1/3, 0, 2
Find o such that -6/5*o - 2/5*o**3 + 6/5*o**2 + 2/5 = 0.
1
Determine t, given that -t**2 + 0 + t + 1/4*t**3 = 0.
0, 2
Suppose 5*v - 7*v = 0. Let n be v/((0 - -5) + -2). Factor n*y**2 + 0 - 1/4*y**3 + 1/4*y.
-y*(y - 1)*(y + 1)/4
Determine l so that -8/5*l**2 + 6/5*l + 0 = 0.
0, 3/4
Let a be ((-21)/12)/(3/(-12)). Solve -12*n**3 - 10*n**2 + 2*n - 2*n**2 - a*n + 2*n = 0 for n.
-1/2, 0
Suppose -2/3*i**2 - i**3 + i + 2/3 = 0. Calculate i.
-1, -2/3, 1
Let 16/3*q**2 + 0 - 16/3*q**3 - 4/3*q = 0. What is q?
0, 1/2
Let l(r) be the first derivative of -r**5/60 + r**4/12 - r**3/6 + r**2/6 - r - 5. Let v(k) be the first derivative of l(k). Factor v(s).
-(s - 1)**3/3
Let w = 0 - 0. Suppose -5*x + o = -22, 0 = -w*x - x - 2*o. What is u in -1/2*u - 1/2*u**x + 0 - 3/2*u**3 - 3/2*u**2 = 0?
-1, 0
Let o(r) = 1 - 6*r**5 - 4*r**4 + 9*r**5 + 0*r + 2*r - 3*r**3 + 1. Let g(q) = 3*q**5 - 5*q**4 - 4*q**3 + 3*q + 3. Let a(c) = -4*g(c) + 6*o(c). Factor a(x).
2*x**3*(x - 1)*(3*x + 1)
Let a(i) be the first derivative of i**3/18 - i**2/12 - 2. What is r in a(r) = 0?
0, 1
Suppose -o - 1/3*o**5 + 2/3*o**2 + 0*o**4 + 4/3*o**3 - 2/3 = 0. Calculate o.
-1, 1, 2
Suppose 7*i + 15 = 10*i. Factor -3 + 0 - 2*u**4 + u**i + 3 - u + 2*u**2.
u*(u - 1)**3*(u + 1)
Let a(t) be the third derivative of 2/105*t**5 - 5/84*t**4 + 0*t + 2/21*t**3 + 0 - 1/420*t**6 + 4*t**2. Find w, given that a(w) = 0.
1, 2
Let f(v) be the third derivative of v**9/22680 + v**8/10080 - v**7/3780 - v**6/1080 + v**4/8 - v**2. Let z(q) be the second derivative of f(q). Factor z(p).
2*p*(p - 1)*(p + 1)**2/3
Let r(g) be the first derivative of 4*g**3/27 - 8*g**2 + 144*g - 2. Factor r(b).
4*(b - 18)**2/9
Suppose 2/9*l + 2/9*l**4 - 2/9*l**2 - 2/9*l**3 + 0 = 0. What is l?
-1, 0, 1
Suppose 0*f = 2*f + 2. Let q be (1/f)/(6/(-12)). Factor -1/4*g**q + 0*g + 0.
-g**2/4
Let c(y) be the second derivative of y**5/10 + 5*y**4/6 + 7*y**3/3 + 3*y**2 - 12*y. Factor c(x).
2*(x + 1)**2*(x + 3)
Let f be (2 + 6/(-4))*4. Factor 8*j**3 + 6*j**f - j**3 + 7*j - 3*j - 5*j**3.
2*j*(j + 1)*(j + 2)
Factor 25/3*o**2 + 1/3*o**5 + 4/3 + 19/3*o**3 + 7/3*o**4 + 16/3*o.
(o + 1)**3*(o + 2)**2/3
Let n = -193/5 - -1777/45. Let l be (-240)/135 - -1*2. Find d such that l*d**3 - n*d**2 - 4/9 + 10/9*d = 0.
1, 2
Suppose -5*u + 5 = -15. Factor -3*s**4 + 3 + 0*s**4 + 2*s**2 - 2 + 0*s**4 - u*s**3 + 4*s.
-(s - 1)*(s + 1)**2*(3*s + 1)
Suppose 0 = -5*j - 20, -2*u + 3*j = -4*u - 12. Determine f so that 0*f**3 + 0*f**4 + u*f**2 + 0*f + 0 - 1/4*f**5 = 0.
0
Let o be 3*(-1)/(-15)*(-35)/(-14). Factor 3/4*a**2 - 1/4 - o*a**3 + 0*a.
-(a - 1)**2*(2*a + 1)/4
Let w be (60/40)/(2/(-20)). Let o be ((-4)/6)/(5/w). Factor 2 + 4/3*g + 2/9*g**o.
2*(g + 3)**2/9
Let m(s) be the second derivative of 3/5*s**5 + 1/2*s**3 - 8*s - 5/4*s**4 + 0 + 0*s**2. Factor m(l).
3*l*(l - 1)*(4*l - 1)
Let r(m) be the second derivative of m**6/480 - 7*m**2/2 - 3*m. Let z(q) be the first derivative of r(q). Solve z(g) = 0 for g.
0
Let i(j) be the first derivative of -j**5/15 + j**4/4 - j**3/9 - j**2/2 + 2*j/3 + 21. Factor i(g).
-(g - 2)*(g - 1)**2*(g + 1)/3
Let l(u) be the second derivative of -u**6/40 - 9*u**5/40 - 9*u**4/16 - u**3/2 + 23*u. Factor l(s).
-3*s*(s + 1)**2*(s + 4)/4
Let z(w) = 3*w**3 - 6*w**2 + 5*w - 2. Let r(g) = -g**3 + g. Let j(o) = r(o) + z(o). Factor j(x).
2*(x - 1)**3
Suppose -2*s - 41 = -13. Let c be s/(-63) - 0/2. Let 0 - 4/9*b + 2/9*b**3 + c*b**2 = 0. What is b?
-2, 0, 1
Suppose -s**4 - 911*s**2 + 160*s**3 + 10240*s - 4681 - 15799 - 4*s**4 - 1009*s**2 = 0. What is s?
8
Suppose -t + 14 = 2*u + 4*t, -t + 8 = 3*u. Let d(i) = i + 8. Let o be d(-5). Let 3 - 3*n + 4*n**2 - u - n**o - n**2 = 0. What is n?
1
Let t be (-52)/14 + 2/(-7). Let b = 6 + t. Factor -2/3*x**b - 2/3 + 4/3*x.
-2*(x - 1)**2/3
Let m(u) = -u**4 - 5*u**3 - 8*u**2 + 10*u + 4. Let x(n) = -n**4 - n**2 + n + 1. Let r(f) = -m(f) + 5*x(f). Factor r(j).
-(j - 1)**2*(j + 1)*(4*j - 1)
Solve -4/7*b - 1/7*b**2 - 4/7 = 0.
-2
Suppose 5*b = v - 2 + 10, -8 = -2*v - 2*b. Let o - 2*o**v + 3*o - 1 - 1 = 0. What is o?
1
Let w(i) be the third derivative of i**6/600 - i**5/75 + i**4/24 - i**3/15 + 14*i**2. Factor w(d).
(d - 2)*(d - 1)**2/5
Let l(q) be the first derivative of q**5/240 - q**4/96 + 4*q**2 - 3. Let k(s) be the second derivative of l(s). Factor k(p).
p*(p - 1)/4
Let p(c) be the third derivative of c**5/60 + 3*c**4/32 + c**3/12 - 6*c**2. Determine x, given that p(x) = 0.
-2, -1/4
Let k(w) be the third derivative of w**5/30 + w**4/24 - 3*w**2. Let b be k(1). Solve -2/3*x + 2/3*x**2 + 2/3*x**b - 2/3 = 0.
-1, 1
Let 0 - 1/7*r**2 + 4/7*r**4 - 1/7*r**3 + 0*r + 4/7*r**5 = 0. Calculate r.
-1, -1/2, 0, 1/2
Let -4/5*a**3 + 4/5*a + 8/5*a**2 - 8/5 = 0. Calculate a.
-1, 1, 2
Suppose 3*w + 3 = 2*w. Let u = w - -6. Factor c**u - 3*c**3 - 4*c + 6*c**3 + 2 - 2*c**2.
2*(c - 1)*(c + 1)*(2*c - 1)
Let b be (4 + (0 - -2))*-1. Let c be 4/b*(-9)/21. Find a such that -2/7*a**3 + 2/7*a - c*a**2 + 2/7 = 0.
-1, 1
Let r(o) = 35*o**2 + 10*o + 45. Let k(f) = f**2 + f + 1. Let q(x) = -30*k(x) + r(x). Let q(w) = 0. Calculate w.
1, 3
Let k = 445 + -1334/3. Factor 0 + 0*f + 1/6*f**2 + 1/6*f**4 - k*f**3.
f**2*(f - 1)**2/6
Let h(v) be the second derivative of 2*v**7/105 - v**6/25 + v**5/50 + 5*v. Factor h(g).
2*g**3*(g - 1)*(2*g - 1)/5
Let a be 22 + -2*(2 + -1). Let s be (-4)/10*a/(-28). Factor 2/7*y**5 - 4/7*y**2 + 2/7 + s*y - 4/7*y**3 + 2/7*y**4.
2*(y - 1)**2*(y + 1)**3/7
Let y(r) = -r. Let j be y(0). Let d(i) be the first derivative of -1/9*i**3 + 0*i**2 + j*i**4 + 2 + 1/15*i**5 + 0*i. Suppose d(z) = 0. Calculate z.
-1, 0, 1
Let m(q) be the third derivative of q**6/120 - q**4/24 - 3*q**2. Let i(s) = -3*s**4 + 4*s**3 - 7*s. Let w(c) = i(c) + 5*m(c). Let w(h) = 0. Calculate h.
-1, 0, 2
Suppose -2*x - 4 = -5*z, 0 = -5*z + 3*x - 0 + 1. What is b in -z*b**2 - b**2 + b + 3*b**2 - b**2 = 0?
0, 1
Let i(a) be the second derivative of -5*a**4/48 - 5*a**3/4 - 45*a**2/8 - 8*a. Factor i(o).