
-2*n**4*(n - 1)/9
Let h(q) be the first derivative of 5*q**6/6 - 15*q**4/4 - 10*q**3/3 - 4. Solve h(w) = 0.
-1, 0, 2
Let z(b) be the second derivative of b**4/6 - b**3/8 - 21*b. Factor z(x).
x*(8*x - 3)/4
Factor 0 + 2/3*q**2 - 2*q.
2*q*(q - 3)/3
Let a(l) = -l**2 + 1. Let t be a(-2). Let h(y) = -y**2 - 1. Let m(d) = -d - 1. Let f(v) = t*m(v) + 3*h(v). Factor f(r).
-3*r*(r - 1)
Suppose 2*i - 4*i + 10 = 0. Solve 0*q**4 + 0*q - 1/8*q**i + 1/8*q**3 + 0 + 0*q**2 = 0 for q.
-1, 0, 1
Let h = 7 - 10. Let q = -1 - h. Determine l, given that l**2 + l**2 - l**q - 2*l = 0.
0, 2
Let o(i) be the second derivative of i**7/14 + 3*i**6/5 + 3*i**5/10 - 9*i**4 - 27*i**3/2 + 81*i**2 + 23*i. Suppose o(q) = 0. Calculate q.
-3, 1, 2
Let f(m) be the second derivative of m**4/4 - 8*m**3 + 96*m**2 - 12*m. Suppose f(j) = 0. What is j?
8
Let a(m) = 3*m**5 - 15*m**4 + 12*m**3 + 24*m**2 + 3*m + 3. Let f(d) = -3*d**5 + 15*d**4 - 13*d**3 - 23*d**2 - 4*d - 4. Let h(o) = 4*a(o) + 3*f(o). Factor h(v).
3*v**2*(v - 3)**2*(v + 1)
Let x = -891/5 - -179. Let -x*s**4 + 0*s**3 - 2/5*s**5 + 4/5*s**2 + 2/5*s + 0 = 0. What is s?
-1, 0, 1
Let x(f) be the third derivative of -f**7/1785 - f**6/255 - f**5/85 - f**4/51 - f**3/51 + 24*f**2. Factor x(a).
-2*(a + 1)**4/17
Let n be -1*(2 + -8 - -4). Let z(c) be the third derivative of 0*c + 1/24*c**4 + 1/210*c**7 + 0*c**3 + 1/20*c**5 + 1/40*c**6 + 0 - c**n. Factor z(d).
d*(d + 1)**3
Suppose 3*w + 2*w + 25 = -5*m, 0 = 3*m + 15. Find j such that w + 0*j + 2/9*j**2 = 0.
0
Let q(a) be the second derivative of 1/6*a**4 - 1/10*a**5 + 0 + 3*a + 1/3*a**3 - a**2. Suppose q(j) = 0. What is j?
-1, 1
Suppose a + 0*b = -5*b + 27, 5*b - 17 = 4*a. Let t = 4 - 4. Factor 2/3*i + t + 2/3*i**a - 2/3*i**4 - 2/3*i**3.
-2*i*(i - 1)*(i + 1)**2/3
Let u = -110 + 110. Find r such that -2/5*r + 1/5*r**2 + u = 0.
0, 2
Let o = 7 + -2. Suppose -5 = -5*y, -k - o*y = -6*k + 15. Factor -4*c + k*c - c**2.
-c**2
Let i(f) = -5*f. Let c be i(-1). Suppose 3*v + 3*g = 2*v + 8, 0 = -c*v - g + 12. Factor v*w + 2 + 1/2*w**2.
(w + 2)**2/2
Let g(n) be the third derivative of 0*n + 0*n**3 + 1/60*n**4 - n**2 + 0 - 1/300*n**5. Factor g(k).
-k*(k - 2)/5
Let v be 0/(2*(-2)/4). Let r(j) be the third derivative of 0*j**3 + v + 0*j + 2*j**2 - 1/180*j**6 - 1/504*j**8 + 0*j**4 - 2/315*j**7 + 0*j**5. Factor r(t).
-2*t**3*(t + 1)**2/3
Let i(b) be the second derivative of -b**6/50 - 3*b**5/20 - 9*b**4/20 - 7*b**3/10 - 3*b**2/5 - 6*b. Factor i(v).
-3*(v + 1)**3*(v + 2)/5
Let c be (-6)/(-25)*(-40)/(-6). Factor 2/5*v**3 + 0 + c*v - 8/5*v**2.
2*v*(v - 2)**2/5
Suppose 5*j = -5*r + 10, -11 = -2*r + 5*j - 0. Suppose -5 - 1 = -r*s. Let -26*x**4 + 5*x**2 + 2*x**3 - 8*x**5 - 19*x**2 - s*x - 32*x**3 = 0. What is x?
-1, -1/4, 0
Let b(y) be the third derivative of -y**5/12 - 5*y**4/24 + 5*y**3/3 - 5*y**2. Solve b(p) = 0.
-2, 1
Let j = 54 - 46. Let z = 53 - 38. Solve -4/3*m + 0 + j*m**2 + 25/3*m**4 - z*m**3 = 0 for m.
0, 2/5, 1
Let t(q) be the second derivative of -q**7/945 - q**6/270 - q**5/270 - 2*q**2 - q. Let c(s) be the first derivative of t(s). Suppose c(w) = 0. What is w?
-1, 0
Let m(w) be the third derivative of -w**6/720 + w**5/180 - 15*w**2. Factor m(d).
-d**2*(d - 2)/6
Let h(m) = 41*m - 324. Let z be h(8). Factor -2/9*w**z + 0*w + 2/9*w**2 + 0*w**3 + 0.
-2*w**2*(w - 1)*(w + 1)/9
Let t(z) be the first derivative of z**4 - 4*z**3/3 - 2*z**2 + 4*z - 8. Let t(n) = 0. Calculate n.
-1, 1
Let w(m) be the second derivative of 0 + 4*m + 11/20*m**5 - 1/2*m**2 + 2/15*m**6 + 3/4*m**4 + 1/6*m**3. Factor w(a).
(a + 1)**3*(4*a - 1)
Let p(k) be the second derivative of 2/15*k**6 + 0*k**5 - 1/3*k**4 + 0*k**3 + 0 + k + 0*k**2. Suppose p(t) = 0. Calculate t.
-1, 0, 1
Let c = 273 + -270. Determine x so that 25/4*x**c - 5*x**2 + x + 0 = 0.
0, 2/5
Let s be (0 - 0)/((-3)/1). Let c(p) be the second derivative of 2*p + 1/30*p**4 + 1/25*p**5 + 0*p**3 + 1/75*p**6 + s + 0*p**2. What is v in c(v) = 0?
-1, 0
Let x(r) = 1. Let p be (1 + (-12)/(-3))/1. Suppose -2*g - 3 - p = 0. Let m(a) = a**2 - 2*a + 3. Let v(f) = g*x(f) + 2*m(f). Let v(s) = 0. Calculate s.
1
Let t(r) = 40*r**5 + 185*r**4 + 335*r**3 + 225*r**2 + 35*r + 5. Let q(o) = -o**5 - o**3 - o**2 + o - 1. Let g(l) = -5*q(l) - t(l). Solve g(h) = 0.
-2, -1, -2/7, 0
Let v = -31 + 33. Let 3/5*h**3 - 3/5*h + 0 + 3/5*h**v - 3/5*h**4 = 0. Calculate h.
-1, 0, 1
Let h(t) be the third derivative of -1/280*t**7 + 0*t - 2*t**2 + 1/12*t**3 - 1/96*t**6 + 1/240*t**5 + 5/96*t**4 + 0. Determine s so that h(s) = 0.
-1, -2/3, 1
Let v = -10 + 9. Let a = v - -1. Factor 0*o + 2/3*o**2 + 2*o**4 + 6*o**5 + a - 10/3*o**3.
2*o**2*(o + 1)*(3*o - 1)**2/3
Let b(z) = -5*z**5 + 7*z**4 - 8*z**3 - 8*z**2 + 11*z - 1. Let s(h) = -h**5 - h**4 - h**3 - h**2 + h + 1. Let a(v) = -b(v) + 2*s(v). Factor a(l).
3*(l - 1)**4*(l + 1)
Let g(n) be the second derivative of 0*n**2 + 0 + 2*n - 1/18*n**3 + 1/90*n**6 + 1/60*n**5 - 1/36*n**4. Factor g(z).
z*(z - 1)*(z + 1)**2/3
Let p(g) be the first derivative of -g + 1/8*g**6 + 5/2*g**2 - 8 - 17/20*g**5 - 13/4*g**3 + 37/16*g**4. Factor p(t).
(t - 2)*(t - 1)**3*(3*t - 2)/4
Let i be (-1)/4 + ((-63)/(-12) - 3). Factor 2/5*w**3 + 0*w**i + 0 - 1/5*w**5 + 0*w**4 - 1/5*w.
-w*(w - 1)**2*(w + 1)**2/5
Let r(f) = f**3 - 8*f**2 + 10*f + 16. Let d be r(6). Suppose 2/3*t**3 - 2/3*t**d + 2/3*t**2 + 0 - 2/3*t = 0. Calculate t.
-1, 0, 1
Suppose 0*r = 2*r - 122. Let v = -181/3 + r. Determine d so that 0*d**3 + 2/3*d**4 + 0*d + 0 - v*d**2 = 0.
-1, 0, 1
Let k(a) be the third derivative of a**10/105840 + a**9/26460 + a**8/23520 - a**4/12 - 3*a**2. Let c(m) be the second derivative of k(m). Factor c(o).
2*o**3*(o + 1)**2/7
Let r(g) = -5*g + 6. Let z be r(4). Let j be (z/12)/((-4)/16). Factor 4/3 - 6*f + j*f**2.
2*(f - 1)*(7*f - 2)/3
Let b(x) = 4*x**2 - x + 4. Let o be 1/1*2 - 7. Let t(w) = 7*w**2 - w + 7. Let r(g) = o*b(g) + 3*t(g). Let r(h) = 0. What is h?
-1
Let c(w) be the first derivative of -1 + 1/6*w**6 + 0*w + 0*w**3 + 1/4*w**4 + 0*w**2 - 2/5*w**5. Factor c(m).
m**3*(m - 1)**2
Let q(h) be the first derivative of -2/3*h**3 - 1/4*h**4 + 0*h + 1/5*h**5 + 3 + 0*h**2. Factor q(v).
v**2*(v - 2)*(v + 1)
Let r be 657/342 - 6/4. Let a = r + -5/57. Factor a*m - 1/3*m**2 + 0.
-m*(m - 1)/3
Let d = 11387/9750 - 2/1625. Let 2/3*b + 0 + 10/3*b**2 + d*b**4 + 23/6*b**3 = 0. What is b?
-2, -1, -2/7, 0
Let f(d) be the third derivative of -2*d**7/105 - 4*d**6/15 - 16*d**5/15 - 13*d**2. Factor f(t).
-4*t**2*(t + 4)**2
Let h(a) be the second derivative of -5*a**4/12 + 35*a**3/6 - 15*a**2 + 23*a. Factor h(d).
-5*(d - 6)*(d - 1)
Let g(h) = -19*h**4 + h**3 + 57*h**2 + 63*h + 19. Let d(z) = -9*z**4 + z**3 + 29*z**2 + 31*z + 9. Let l(a) = -7*d(a) + 3*g(a). Find f such that l(f) = 0.
-1, -1/3, 3
Factor 12*s - 3*s**4 - 22*s + 6 - 3*s**2 + 19*s - 9*s**3.
-3*(s - 1)*(s + 1)**2*(s + 2)
Let x = 169/4 - 42. Let n(u) be the second derivative of 0 + 1/24*u**4 + 1/2*u**2 - x*u**3 + 2*u. Factor n(z).
(z - 2)*(z - 1)/2
Find z such that 0 + 2*z**2 + 3/2*z**3 + 1/2*z = 0.
-1, -1/3, 0
Suppose i = -2*i + 9. Factor -14*m**i + 24*m**2 - m**3 - 13*m + 6*m - 5*m + 3*m**4.
3*m*(m - 2)**2*(m - 1)
Suppose 31 - 4*q**3 + 4*q - 17 - 12 - 2*q**4 = 0. What is q?
-1, 1
Let m = -36 + 38. Let l(g) be the second derivative of 2*g + 5/21*g**3 - 2/7*g**m + 0 + 1/6*g**4. What is o in l(o) = 0?
-1, 2/7
Factor 3*i**3 + 4*i**2 - i**2 - 3*i**4 + 13*i - 8*i - 8*i.
-3*i*(i - 1)**2*(i + 1)
Let l(w) be the third derivative of w**6/30 + 14*w**5/15 + 22*w**4/3 + 80*w**3/3 + 4*w**2 - 7*w. Factor l(i).
4*(i + 2)**2*(i + 10)
Suppose -2*n = j + 7, 3*n = j - 2*j - 12. Factor 1/2*s + 0*s**j + 0 + 1/4*s**4 - 3/4*s**2.
s*(s - 1)**2*(s + 2)/4
Let m(z) = -z**3 - 4*z**2 + 3*z. Let l(f) = -2*f**3 - 8*f**2 + 5*f. Let h(t) = 6*l(t) - 11*m(t). Solve h(r) = 0.
-3, -1, 0
Let y(v) be the third derivative of -v**6/180 - v**5/45 - v**4/36 + 54*v**2 - 1. Factor y(b).
-2*b*(b + 1)**2/3
Let v(r) be the second derivative of 1/42*r**4 + 0 + 9/7*r**2 + 2/7*r**3 - 2*r. Suppose v(z) = 0. Calculate z.
-3
Let w(l) = -l**4 + 3*l**3 - 2*l**2 - 3*l - 3. Let q(g) = -2*g**3 + 2*g**2 + 2*g + 2. Let x(u) = -6*q(u) - 4*w(u). Suppose x(v) = 0. What is v?
-1, 0, 1
Let f(b) = 2*b**4 + 2*b**3 + 2*b**2 - 3*b - 3. Let k(z) = 2*z**2 + 6*z**3 - 4 - 2*z**4 - 3*z**3 - 4*z + 5*z**4. Let n(d) = -4*f(d) + 3*k(d