 0. Calculate n.
-2, -1, 0
Suppose -4/5 + 2/5*b + 2/5*b**2 = 0. Calculate b.
-2, 1
Let l be ((-52)/(-12) + -3)/((-208)/(-24)). Find i, given that 10/13*i - 4/13 + l*i**3 - 8/13*i**2 = 0.
1, 2
Let r(s) be the first derivative of -s**5/90 + 7*s**4/72 - s**3/6 + 3*s**2 - 3. Let d(f) be the second derivative of r(f). Determine x so that d(x) = 0.
1/2, 3
Let t(n) be the first derivative of -n**5/15 + 5*n**4/12 - 2*n**3/3 - 2*n**2/3 + 8*n/3 + 1. Factor t(r).
-(r - 2)**3*(r + 1)/3
Let n(a) be the third derivative of a**8/4200 + a**7/1050 + a**6/900 - a**3/3 + 2*a**2. Let y(w) be the first derivative of n(w). Factor y(i).
2*i**2*(i + 1)**2/5
Solve 0*x - 3/7*x**5 - 15/7*x**4 + 0 - 3*x**3 - 9/7*x**2 = 0.
-3, -1, 0
Let j(o) be the third derivative of 1/168*o**8 + 0*o - 1/24*o**4 + 1/15*o**5 + 0 + o**2 - 1/12*o**3 - 1/60*o**7 - 1/120*o**6. Factor j(w).
(w - 1)**3*(w + 1)*(4*w + 1)/2
Let l(d) be the second derivative of 2*d**7/21 + 4*d**6/15 + d**5/5 + d. Factor l(t).
4*t**3*(t + 1)**2
Determine x so that 0 - 2/3*x**3 + 0*x + 2/3*x**2 = 0.
0, 1
Let b(a) be the second derivative of -a**7/4200 + a**5/200 - a**4/60 + 4*a**3/3 + 3*a. Let l(d) be the second derivative of b(d). Factor l(j).
-(j - 1)**2*(j + 2)/5
Let -4*n**3 + 4/5*n**2 + 4/5*n + 12/5*n**4 + 0 = 0. Calculate n.
-1/3, 0, 1
Let i be (-6)/20 + (-2)/(-6). Let l(b) be the second derivative of 0 - 1/3*b**2 - i*b**5 + 1/18*b**4 + 1/9*b**3 - 2*b. Factor l(h).
-2*(h - 1)**2*(h + 1)/3
Let w(m) be the first derivative of m**4/24 + m**3/18 - m**2/12 - m/6 - 1. Determine a, given that w(a) = 0.
-1, 1
Find p such that 2*p + 3*p - p + 4*p**2 + 4 + 4*p = 0.
-1
Let s(j) be the second derivative of -1/10*j**5 + 0*j**2 + 0 + 0*j**6 + 1/42*j**7 + 0*j**4 + 1/6*j**3 - 3*j. Suppose s(k) = 0. What is k?
-1, 0, 1
Let h(q) = q**2 + q - 3. Let r be h(-3). Suppose r + 5 = 2*t. Suppose -g**2 + 2 - t + 3 = 0. What is g?
-1, 1
Let u be (-11)/(-22)*4*2. What is k in -1/5 - 6/5*k**2 - 1/5*k**u - 4/5*k - 4/5*k**3 = 0?
-1
Suppose 9*d = 3*b + 4*d, 3*d = 0. Suppose -3*g + 2 = -2*j, b = j - 2 + 3. Factor -1/5*i**3 + g + 2/5*i**2 - 1/5*i.
-i*(i - 1)**2/5
Suppose -q + 2*q - 4 = 0. Determine r, given that 5*r**3 - 1 + 5*r**3 + 3*r**q + 2*r + 1 + 9*r**2 = 0.
-2, -1, -1/3, 0
Let s(a) = -a**2 - 2*a + 8. Let b be s(5). Let p = b + 31. Determine z so that 2/9*z**3 + 0*z**2 + 0 - 2/9*z**p + 0*z = 0.
0, 1
Suppose 1 - 7 = -2*m. Factor -7*h**4 + 4*h**2 - 4*h + 9*h**2 - 5*h**3 + m*h**2.
-h*(h - 1)*(h + 2)*(7*h - 2)
Let n = -356/63 - -2228/315. Let i = n + -4/45. Factor 1/3*t**3 + 4/3*t**4 - i*t**2 + 0 - 1/3*t.
t*(t - 1)*(t + 1)*(4*t + 1)/3
Let p(o) = -o**3 - 6*o**2 - 2*o + 26. Let h be p(-4). Let 2*l**h + 4/3*l + 0 = 0. Calculate l.
-2/3, 0
Let q(d) be the third derivative of d**8/2016 - d**7/315 + d**6/180 + d**5/180 - 5*d**4/144 + d**3/18 - 48*d**2. Factor q(w).
(w - 2)*(w - 1)**3*(w + 1)/6
Let k be ((-16)/72)/(24/(-54)). Suppose -2*h + 3*t = -12, 0 = -2*h + 2*t + 8. Solve h*x + 2*x**2 + 0 - k*x**5 - 3/2*x**4 + 0*x**3 = 0 for x.
-2, 0, 1
Let l(p) be the first derivative of -p**6/21 + 8*p**5/35 - 5*p**4/14 + 4*p**3/21 - 6. Solve l(n) = 0 for n.
0, 1, 2
Let s(n) be the first derivative of -7*n**5/40 + 5*n**4/24 + n**3/6 - 6*n + 7. Let c(o) be the first derivative of s(o). What is m in c(m) = 0?
-2/7, 0, 1
Let 363*i**2 - 4*i + 0*i - i**3 - 365*i**2 + 3*i = 0. Calculate i.
-1, 0
Suppose 0 = 2*c + 5*g - 1, -3*g = 5*c + g - 11. Factor -1/4*w**4 - 1/4*w**c + 0*w + 0 + 1/4*w**5 + 1/4*w**2.
w**2*(w - 1)**2*(w + 1)/4
Let -1458/5 - 54/5*m**2 - 486/5*m - 2/5*m**3 = 0. What is m?
-9
Let r = 24 - 14. Suppose 5*n = 5 + r. Let 2/5*o**2 - 6/5*o**n - 2/5 + 6/5*o = 0. What is o?
-1, 1/3, 1
Let 509*l**2 + 0*l - 512*l**2 + 0*l + 3 = 0. What is l?
-1, 1
Let g(i) = -i**4 - i**3 - i**2 - i - 1. Let b(u) = u**5 + 4*u**4 + 4*u**3 + 2*u**2 + u + 1. Let q = 18 - 19. Let l(d) = q*g(d) - b(d). Factor l(r).
-r**2*(r + 1)**3
Let q = 70 + -70. Let l(y) be the third derivative of -y**2 - 1/48*y**4 + 1/60*y**5 + 0 + 0*y + q*y**3 - 1/240*y**6. Factor l(g).
-g*(g - 1)**2/2
Suppose -5*l + 0 - 18 = -4*n, 2*n - 2 = -l. Suppose -5*v**2 - v**n - 3*v - 1 - 3*v**3 + 1 = 0. What is v?
-1, 0
Let u(f) be the second derivative of -f**4/4 + 7*f**3/8 + 3*f**2/4 + 29*f. Find s such that u(s) = 0.
-1/4, 2
Suppose 0 = -h - 4*h - 15, 4*t = 3*h + 9. Suppose -42/11*r**5 + 4/11*r**2 - 30/11*r**3 + t + 0*r + 68/11*r**4 = 0. What is r?
0, 2/7, 1/3, 1
Let c(z) be the third derivative of 0 + 1/30*z**5 + 1/12*z**4 + z**2 + 0*z + 0*z**3. Factor c(a).
2*a*(a + 1)
Let o(j) be the second derivative of -5*j**4/12 + 5*j**3/2 + 31*j. Find n such that o(n) = 0.
0, 3
Let b be (18/(-12))/((-2)/4). Factor -h + 14*h**2 - b*h**2 - h**3 - 9*h**2.
-h*(h - 1)**2
Let i(w) be the first derivative of w**6/10 - w**4/4 + 3*w - 4. Let a(v) be the first derivative of i(v). Factor a(f).
3*f**2*(f - 1)*(f + 1)
Suppose 5*o - 23 = -8. Suppose 0 = -h + o. Factor -6*k**3 + h*k**3 + 2*k**3.
-k**3
What is c in 7*c + 6*c**3 - 7*c**2 + 0*c**3 - 3*c - 3*c**2 = 0?
0, 2/3, 1
Suppose 9*v = -6 + 42. Let n(q) be the third derivative of 0*q - q**2 + 1/20*q**v - 1/300*q**6 + 0 + 2/15*q**3 + 0*q**5. Factor n(c).
-2*(c - 2)*(c + 1)**2/5
Let o(l) = l**3 + 7*l**2 + 9*l - 4. Let t be o(-4). What is v in 0*v + 1/2*v**3 + t*v**5 + 4*v**4 + 0*v**2 + 0 = 0?
-1/4, 0
Let b = -15 + 17. Factor -2*d**3 - 2*d**2 + 4*d + 1 + 1 - b*d.
-2*(d - 1)*(d + 1)**2
Let p(r) = r**3 - 15*r**2 + 12*r + 8. Let w be p(14). Let d be 6 - (-5)/(w/16). Let 2/7*g**d + 0*g + 0 = 0. What is g?
0
Suppose 0*c**3 + 1/3*c**4 - c**2 + 0 + 2/3*c = 0. What is c?
-2, 0, 1
Suppose 3*t = 2*p + 8*t + 20, 2*p + 3*t + 12 = 0. Factor -3*z - 2 + 5*z + 2*z**2 + p*z - 2*z**3.
-2*(z - 1)**2*(z + 1)
Let i(h) be the second derivative of h**5 + 15*h**4/4 + 5*h**3/3 - 18*h. Factor i(m).
5*m*(m + 2)*(4*m + 1)
Factor 2*a**2 + 4/3*a + 0 + 2/3*a**3.
2*a*(a + 1)*(a + 2)/3
Let l be (45/4)/(21/56). Let i be (-12)/l + 18/20. Factor 0 + 3*v**3 + i*v**2 + 9/2*v**4 + 0*v + 2*v**5.
v**2*(v + 1)**2*(4*v + 1)/2
Let s(z) be the third derivative of z**7/210 - 3*z**6/100 + z**5/25 + z**4/15 + 25*z**2. Factor s(c).
c*(c - 2)**2*(5*c + 2)/5
Let -6/5*p**2 - 3*p + 12/5*p**4 + 12/5*p**3 + 3/5*p**5 - 6/5 = 0. Calculate p.
-2, -1, 1
Let c(w) be the first derivative of -3*w**5/10 + 3*w**4/2 - 3*w**3 + 3*w**2 - 3*w/2 - 21. Let c(n) = 0. What is n?
1
Factor 3*g**3 + 0*g - 1/2*g**4 + 0*g**2 + 0.
-g**3*(g - 6)/2
Let s be ((0 + -2)/(-2))/1. Suppose s = -2*v + 5*i, -v - i = -0*v - 3. Let v*c + 2*c**3 - 7*c**4 - c + c + 7*c**2 - 4*c = 0. Calculate c.
-1, 0, 2/7, 1
Let s(d) = d**2 + 15*d + 9. Let l be s(-9). Let m be (-189)/l + (-2)/10. Factor 2/5*u**3 - 2/5*u**5 + 2/5*u**m - 2/5*u**2 + 0 + 0*u.
-2*u**2*(u - 1)**2*(u + 1)/5
Let q be 1/2*(-11 + 92/8). Factor 0 - 1/4*f**2 + 1/4*f**4 + q*f - 1/4*f**3.
f*(f - 1)**2*(f + 1)/4
Let g(o) = 4*o**2 + o - 1. Let u be g(1). Suppose 0 = -3*h + 3*a + 12, 0 = h + a + u. Factor -1/4*w**2 + 1/4*w**4 + 1/4*w**3 + h - 1/4*w.
w*(w - 1)*(w + 1)**2/4
Determine m, given that -m**2 + 12*m**3 + 4*m**2 + m**2 = 0.
-1/3, 0
Let u(b) be the third derivative of b**6/540 - b**5/180 - b**4/18 - b**3/2 - 4*b**2. Let m(c) be the first derivative of u(c). Let m(t) = 0. Calculate t.
-1, 2
Let y(n) be the first derivative of -n**8/336 + n**6/120 - n**2 - 1. Let q(b) be the second derivative of y(b). What is t in q(t) = 0?
-1, 0, 1
Suppose 2*h = i + h - 6, -5*h - 6 = i. Let o = i - 0. Solve -2*j - 34/7*j**2 - 34/7*j**3 - 2/7 - 12/7*j**o = 0 for j.
-1, -1/2, -1/3
Let d(n) = 9*n**2 - 4*n - 3. Let c(y) = -28*y**2 + 12*y + 8. Let m(w) = 3*c(w) + 8*d(w). Let m(t) = 0. Calculate t.
0, 1/3
Factor 2*b**2 + 0*b**2 - 3*b - 1 + 3*b**2 - 8*b**2 - b**3.
-(b + 1)**3
Suppose 0 = 3*b - 4*f, 4*b - f = 2*f. Factor n**3 + b - 1/2*n**2 - n + 1/2*n**4.
n*(n - 1)*(n + 1)*(n + 2)/2
Let p = 1759/3 + -586. Factor 0 - q**2 - 2/3*q - p*q**3.
-q*(q + 1)*(q + 2)/3
Let o(z) be the first derivative of z**6/3 - 2*z**5/5 - 3*z**4/2 + 10*z**3/3 - 2*z**2 + 2. Find n such that o(n) = 0.
-2, 0, 1
Let z(u) = -u + 8. Let o be z(6). Factor 28*c**o + 4*c**3 - 9*c - 6*c**4 + 4*c**3 - 6*c**4 + 17*c.
-4*c*(c - 2)*(c + 1)*(3*c + 1)
Let z = -5 - -31/5. Factor 3/5 - z*i + 3/5*i**2.
3*(i - 1)**2/5
Let l = 2 + 3. Determine f, given that -3*f + 2*f**5 - 3*f**l - 2*f**5