6 = -5*x, -7*x - 5*w = -8*x - 18. Suppose 2/5*a**x + 0 + 2/5*a**3 + 0*a = 0. What is a?
-1, 0
Let b(j) = -j - 3. Let v be b(-5). Solve 2*y**2 - v*y**2 + 2*y**2 - y**2 = 0.
0
Let o(w) be the first derivative of w**7/2520 - w**5/120 - w**4/36 - w**3 + 6. Let k(q) be the third derivative of o(q). Let k(l) = 0. Calculate l.
-1, 2
Let j be 3 + (-3 + 1 - 0). Let z(m) = -m + 1. Let w be z(j). What is b in w - 3*b + 11*b - 2*b**2 - 1 - 7 = 0?
2
Let y(j) = j**3 - 6*j**2 + j - 4. Let g be y(6). Let r = g - 0. Solve -b + 6*b**4 - 2 - 7*b - 4*b**r + 5*b**3 + 3*b**3 = 0.
-1, -1/3, 1
Suppose -4*d + 2*m - 4*m + 4 = 0, -3*d = -4*m - 14. Factor -d*y**4 - 6*y + 16 - 12 + 6*y**3 - 2*y**2 + 0*y.
-2*(y - 2)*(y - 1)**2*(y + 1)
Find f such that -2/13 - 2/13*f**2 - 4/13*f = 0.
-1
Let y(a) = -2*a + 1. Let u be y(-1). Determine h so that -h + h**2 - 1/4*h**u + 0 = 0.
0, 2
Let n(a) be the third derivative of a**5/60 - a**4/12 - a**3/2 - 2*a**2 - 29*a. What is l in n(l) = 0?
-1, 3
Factor 5/9*m**3 - 1/9*m - 1/3*m**4 + 0 - 1/9*m**2.
-m*(m - 1)**2*(3*m + 1)/9
Let n(r) be the third derivative of -r**5/48 - 5*r**4/12 - 10*r**3/3 - 2*r**2 + 20. Suppose n(z) = 0. Calculate z.
-4
Let u(s) be the second derivative of s**4/66 + 2*s**3/11 - 7*s**2/11 - 4*s. Factor u(k).
2*(k - 1)*(k + 7)/11
Let f be 15/3 - (0 - -2). Let d(z) be the second derivative of 1/3*z**f - 3*z + 0*z**2 + 1/12*z**4 + 0. Solve d(a) = 0 for a.
-2, 0
Suppose -3*r = -2*x + 7, -4 = -5*r + 4*x - 19. Let b be (-88)/(-112) - r/2. Factor -b - 2/7*f**2 + 4/7*f.
-2*(f - 1)**2/7
Let b(t) be the third derivative of -t**7/2520 - t**6/360 - t**5/120 - t**4/12 - 2*t**2. Let n(m) be the second derivative of b(m). Factor n(y).
-(y + 1)**2
Let k(b) be the third derivative of b**5/20 - b**3/2 + 10*b**2. Factor k(a).
3*(a - 1)*(a + 1)
Suppose 1 - g**2 - 1/2*g + 1/2*g**3 = 0. Calculate g.
-1, 1, 2
Let l(z) = 2*z**2 - 6. Let q be l(2). Factor -1/3*o + o**q + 0.
o*(3*o - 1)/3
Let v(o) be the first derivative of 2*o**6/3 - 8*o**5/5 - 2*o**4 + 32*o**3/3 - 14*o**2 + 8*o - 8. Determine a, given that v(a) = 0.
-2, 1
Let i(a) be the second derivative of a**5/10 - a**4/6 + 4*a. Factor i(v).
2*v**2*(v - 1)
Let s = 6 - 4. Suppose -g**2 + 3*g**2 - 3*g**s + g = 0. What is g?
0, 1
Let n(y) be the third derivative of y**6/360 - y**5/60 - y**4/72 + y**3/6 + 11*y**2. Factor n(x).
(x - 3)*(x - 1)*(x + 1)/3
Let t(o) be the first derivative of o**3/3 - 3*o**2 + 22. Determine p so that t(p) = 0.
0, 6
What is g in 0*g + 4/9*g**2 + 0 + 2/9*g**3 = 0?
-2, 0
Let y(j) = -2*j**2 - 4*j + 8. Let v(d) = d**2 - 1. Let n(u) = 8*v(u) + y(u). Factor n(p).
2*p*(3*p - 2)
Suppose -3*c = -4*f - 7*c + 48, 3*c = 3*f - 54. Suppose -36 = -5*i - x - f, -5 = -5*x. Factor 3 + 3*h**2 - 8*h**2 + h**i + 2*h**4 - h**2.
3*(h - 1)**2*(h + 1)**2
Let f(t) = 9*t**4 - 8*t**3 + 17*t**2 - 11*t + 7. Let b(g) = -8*g**4 + 8*g**3 - 16*g**2 + 10*g - 6. Let n(c) = 7*b(c) + 6*f(c). Solve n(y) = 0 for y.
0, 1, 2
Suppose 0*j = -4*j. Suppose -w + j*w = 0. Solve w + 1/5*d**2 + 0*d - 1/5*d**3 = 0 for d.
0, 1
Find n, given that 10*n**3 + 3*n**4 - 1 - 5*n - 5*n**5 - 10 - 13*n**4 + 1 + 20*n**2 = 0.
-2, -1, 1
Suppose -6*k + 16 = -k - 4*v, -v = 4*k + 4. Factor k + 4/3*p - 2/3*p**2.
-2*p*(p - 2)/3
Let p(k) be the first derivative of k**4/4 - 4*k**3/3 + 3*k**2/2 + 3*k - 5. Let l be p(3). Factor 5/4*s**3 - 1/2 - l*s**2 + 9/4*s.
(s - 1)**2*(5*s - 2)/4
Let r = 7/8 + -3/8. Let v be (-1*4/6)/((-1)/6). Let 2*p**2 - 2*p**v - 1/2*p + 0 + r*p**3 = 0. Calculate p.
-1, 0, 1/4, 1
Let n(w) be the second derivative of 3*w**5/80 + 3*w**4/16 + 3*w**3/8 + 3*w**2/8 - 13*w. Determine d, given that n(d) = 0.
-1
Factor -2/9*d - 2/3*d**2 + 2/3 + 2/9*d**3.
2*(d - 3)*(d - 1)*(d + 1)/9
Let w(b) = -5*b + 7. Let q(x) = -4*x + 7. Let n(p) = -4*q(p) + 3*w(p). Let g be n(9). Factor -1/2*r**g + 1/2 + 0*r.
-(r - 1)*(r + 1)/2
Let q = -6/23 - -275/966. Let u(f) be the third derivative of 3*f**2 + 1/21*f**3 + 1/210*f**5 + q*f**4 + 0 + 0*f. Suppose u(r) = 0. Calculate r.
-1
Let j(o) be the first derivative of -o**4/36 + 4*o**3/27 - 5*o**2/18 + 2*o/9 + 57. Suppose j(z) = 0. What is z?
1, 2
Let b(n) be the third derivative of -n**9/7560 - n**8/3360 + n**7/1260 + n**6/360 - n**4/6 - 3*n**2. Let f(a) be the second derivative of b(a). Factor f(y).
-2*y*(y - 1)*(y + 1)**2
Let g(s) be the second derivative of s**6/120 - 11*s**4/48 + 3*s**3/4 - s**2 + 9*s. Suppose g(c) = 0. Calculate c.
-4, 1, 2
Let t(r) = -r**2 + 5*r + 15. Let g be t(7). Let m(j) = j**2 + j - 1. Let v(o) = -8*o**2 - 20*o + 16. Let x(k) = g*v(k) + 12*m(k). Factor x(u).
4*(u - 1)**2
Let h(d) be the first derivative of -2*d**5/25 - d**4/10 + 2*d**3/15 + d**2/5 - 5. Solve h(b) = 0 for b.
-1, 0, 1
Let f(i) be the third derivative of i**9/30240 + i**8/2016 + i**7/360 + i**6/120 - i**5/15 + 4*i**2. Let g(m) be the third derivative of f(m). Factor g(x).
2*(x + 1)**2*(x + 3)
Suppose 27 = 3*k + 15. Let n be ((-10)/4*2)/(-1). Solve 6/7*o**3 + 2/7*o**n + 0 - 2/7*o**2 + 0*o - 6/7*o**k = 0 for o.
0, 1
Let h(c) be the first derivative of 10*c**6/3 - 8*c**5 - 15*c**4/4 + 25*c**3/3 + 5*c**2 - 16. Find z such that h(z) = 0.
-1/2, 0, 1, 2
Suppose 2*f + 3*f = 4*d - 12, -9 = -3*d. Let 2/9*y + f + 2/9*y**2 = 0. Calculate y.
-1, 0
Let a(i) be the first derivative of 2/7*i**2 + 2/21*i**3 + 2/7*i - 2. Factor a(u).
2*(u + 1)**2/7
Suppose 0 = -v - v + 4. Suppose 3*p = 7 + v. Determine a, given that 10*a + 5*a**3 - 4 - 4*a**3 - 8*a**2 + a**p = 0.
1, 2
Suppose -2*v - 11 = -35. Let m be -2 + 51/v + -2. Factor -1/4*w + m*w**2 + 0.
w*(w - 1)/4
Let g(j) be the second derivative of -j**4/72 - j**3/12 - j**2/6 + j. Factor g(f).
-(f + 1)*(f + 2)/6
Let f = -11 + 8. Let s be f/(-99)*(8 - 2). Find m, given that 0 + 2/11*m**3 + 0*m - s*m**2 = 0.
0, 1
Suppose 0 = j - 1, 5*r + 3*j - 14 = -j. Let p be 3/((-15)/(-2)) - 0. Solve 7/5*d**4 + 27/5*d**r - 23/5*d**3 - 13/5*d + p = 0.
2/7, 1
Factor 12*i**4 + 20*i**3 + 8*i**5 + 8*i**3 + 4 + 18*i + 32*i**2 - 6*i**5.
2*(i + 1)**4*(i + 2)
Let n(i) = -6*i**4 + 5*i**3 + 6*i**2 + i + 3. Let j be 18/12 + 1/2. Let u(t) = -5*t**4 + 4*t**3 + 5*t**2 + 2. Let v(m) = j*n(m) - 3*u(m). Factor v(x).
x*(x - 1)*(x + 1)*(3*x - 2)
Let v(h) = -4*h**2 + 8*h - 5. Let m(k) = 11*k**2 - 24*k + 15. Let q(j) = -3*m(j) - 8*v(j). Let s be q(7). Solve 3/2*o + 1 - 6*o**s + 7/2*o**3 = 0.
-2/7, 1
Let t(d) be the second derivative of 0 - 1/18*d**4 + 1/3*d**2 + 0*d**3 + 3*d. Determine i, given that t(i) = 0.
-1, 1
Let m = 8 + -8. Let 1/4*d - d**2 + m = 0. Calculate d.
0, 1/4
Let y(w) = 12*w + 77. Let c be y(-6). Suppose 0 + 0*l + 2/11*l**2 + 18/11*l**c + 14/11*l**3 + 30/11*l**4 = 0. Calculate l.
-1, -1/3, 0
Let -20/13*p - 2/13*p**2 - 50/13 = 0. What is p?
-5
Let k(o) be the first derivative of 27*o**4/4 + 16*o**3 + 15*o**2/2 - 6*o - 28. What is j in k(j) = 0?
-1, 2/9
Suppose -617*l - 30 = -632*l. Factor -6/7 + 4/7*y + 2/7*y**l.
2*(y - 1)*(y + 3)/7
Let b = -6 - -10. Suppose r + 3*m = -4*r, -3*m - 3 = 4*r. Solve -4*p + b*p - p + 2*p**2 + p**r + 2*p = 0.
-1, 0
Let j(i) be the third derivative of i**7/5460 - i**6/2340 - i**3/2 + 2*i**2. Let b(g) be the first derivative of j(g). Factor b(r).
2*r**2*(r - 1)/13
Let s be ((-6)/(-5 - 1))/(4 - 2). Find n such that -n - 1/2*n**2 - s = 0.
-1
Let q be (-2 + 0)*1/(-1). Suppose 3*s + 5 = -q*s - 5*u, -5*s - 2*u + 7 = 0. Factor -8*f + 12*f**2 + 2*f**4 - 5*f**3 + 2 + 0*f**3 - 3*f**s.
2*(f - 1)**4
Let g(m) be the second derivative of -m**6/360 + m**5/180 - m**2 - 4*m. Let n(w) be the first derivative of g(w). Solve n(z) = 0 for z.
0, 1
Let f = 4 + 1. Determine x so that 2*x**2 + 2*x**3 + x + 2*x**5 - 3*x**f - 2*x**3 - 2*x**4 = 0.
-1, 0, 1
Let i(h) be the third derivative of h**5/240 - h**3/24 - 11*h**2. Factor i(b).
(b - 1)*(b + 1)/4
Suppose 8*b + 56 = 4*b. Let v = 14 + b. Factor v - 9/4*a**2 - 1/2*a.
-a*(9*a + 2)/4
Let n = 23 + -18. Let b(x) be the first derivative of 1 + 0*x + 0*x**3 + 2/35*x**n + 1/14*x**4 + 0*x**2. Factor b(w).
2*w**3*(w + 1)/7
Let x be 1*(-11)/(-22)*0. Factor -3/2*u**3 + 3/2*u**2 + 0 + x*u.
-3*u**2*(u - 1)/2
Let c(p) = 20*p**3 - 32*p**2 - 52*p + 12. Let t(n) = -8*n**3 + 13*n**2 + 21*n - 5. Let x be (36/21)/(2/14). Let y(r) = x*t(r) + 5*c(r). Solve y(u) = 0.
-1, 0, 2
Let l(t) be the second derivative of -t**4/120 - 2*t**3/15 - 7*t**2/20 + 41*t. Factor l(y).
-(y