q) be the third derivative of -q**5/180 + q**4/18 - q**3/6 - 10*q**2. Factor s(z).
-(z - 3)*(z - 1)/3
Let m = 787 - 785. Factor 2/5*b**m + 0 + 2/5*b**3 + 0*b.
2*b**2*(b + 1)/5
Let i(c) = 7*c**4 - 3*c**3 - 6*c**2 - 10*c - 4. Let y(q) = -8*q**4 + 4*q**3 + 6*q**2 + 10*q + 4. Let x(z) = -6*i(z) - 5*y(z). Factor x(k).
-2*(k - 2)*(k + 1)**3
Let v(g) be the third derivative of -g**6/30 - 2*g**5/15 - g**4/6 + 7*g**2. What is c in v(c) = 0?
-1, 0
Find b, given that -3/4*b - 1 + 1/4*b**2 = 0.
-1, 4
Let n(b) be the third derivative of 0*b + 0*b**4 + 0*b**5 - 1/1680*b**8 - 3*b**2 + 0 + 1/600*b**6 + 0*b**3 + 0*b**7. Factor n(t).
-t**3*(t - 1)*(t + 1)/5
Let f(d) = d**2 + 3*d + 1. Let b be f(-3). Let j be b - (1 - (4 - 1)). Solve 3*z**j - 1 + 14*z**4 + 4*z**2 + 1 - 21*z**3 = 0.
0, 2/7, 1
Determine j, given that 2/11*j**4 - 2/11*j**2 + 2/11*j**3 - 2/11*j + 0 = 0.
-1, 0, 1
Let m(d) be the third derivative of d**7/336 - 23*d**6/960 + d**5/96 + 17*d**4/64 + 3*d**3/8 - 6*d**2. Factor m(y).
(y - 3)**2*(y + 1)*(5*y + 2)/8
Let s(z) be the third derivative of -1/54*z**4 + 0 + 0*z - 1/270*z**5 - 5*z**2 - 1/27*z**3. Let s(c) = 0. Calculate c.
-1
Let x be 3/(-18) + (-1157)/6. Let k = x + 1353/7. Suppose 2/7*g - k*g**2 + 4/7 = 0. What is g?
-1, 2
Let a(h) be the second derivative of -h**8/1680 + h**7/210 - h**6/60 + h**5/30 - h**4/24 - h**3/2 + h. Let v(p) be the second derivative of a(p). Factor v(f).
-(f - 1)**4
Let l(b) = -b**3 - 7*b**2 + 18*b. Let t be l(-9). Factor 0*g + 0*g**2 + 2/5*g**4 + t + 2/5*g**5 + 0*g**3.
2*g**4*(g + 1)/5
Let -8*k**2 + 0*k**3 + 0*k**3 + 8 + 2*k**2 + 2*k**3 = 0. Calculate k.
-1, 2
Suppose -28 = 4*s + 4*d - 8, -d - 4 = 0. Let z be 0/s + 1 + 1. Determine i, given that -i + i - z + i**2 + i = 0.
-2, 1
Let d(s) = 4*s**5 - s**4 - 13*s**2 + 3*s. Let k(b) = -b**5 + 4*b**2 - b. Let t(n) = n - 11. Let h be t(7). Let c(r) = h*d(r) - 14*k(r). Factor c(a).
-2*a*(a - 1)**3*(a + 1)
Let w = 23/7 + -101/35. Factor 0*z + w - 2/5*z**2.
-2*(z - 1)*(z + 1)/5
Let l(x) be the first derivative of 0*x - 5/3*x**3 + 2*x**4 - 2 - 4/5*x**5 + 1/2*x**2. Find t such that l(t) = 0.
0, 1/2, 1
Let q be (-4)/6 + 20/3. Find h, given that 4*h**2 - 9*h**5 + q*h**3 + 4*h**3 - 4*h**4 - h**5 = 0.
-1, -2/5, 0, 1
Let s(h) be the first derivative of h**7/105 + h**6/15 + h**5/5 + h**4/3 + h**3/3 + 3*h**2/2 + 1. Let z(k) be the second derivative of s(k). Factor z(l).
2*(l + 1)**4
Let a(d) be the second derivative of -d**8/2520 - d**7/1260 + d**6/540 + d**5/180 + d**3/6 - d. Let y(i) be the second derivative of a(i). Factor y(j).
-2*j*(j - 1)*(j + 1)**2/3
Factor -6*o**4 + 0*o**4 - o**5 + 7*o**4.
-o**4*(o - 1)
Let m be 84/30 + (-2)/(-10). Factor 0 + 1/3*v**m + 1/3*v**2 - 2/3*v.
v*(v - 1)*(v + 2)/3
Factor -4/7*d**2 + 12/7*d + 0.
-4*d*(d - 3)/7
Let b(l) be the second derivative of l**5/160 + l**4/48 - l**3/48 - l**2/8 - 10*l. Factor b(o).
(o - 1)*(o + 1)*(o + 2)/8
Let f(g) be the second derivative of 5*g - 9/4*g**4 + 3/20*g**5 - 24*g**2 + 12*g**3 + 0. Find q, given that f(q) = 0.
1, 4
Let d(q) be the first derivative of -q**6/2160 - q**5/240 - q**4/72 + 4*q**3/3 - 2. Let u(s) be the third derivative of d(s). Find l, given that u(l) = 0.
-2, -1
Let a(u) be the third derivative of -u**5/390 - u**4/156 - 12*u**2. Factor a(j).
-2*j*(j + 1)/13
Let l(w) be the first derivative of -w**6/14 + 6*w**5/35 - 2*w**3/7 + 3*w**2/14 + 6. Factor l(z).
-3*z*(z - 1)**3*(z + 1)/7
Let t(v) be the third derivative of -v**5/100 + v**4/20 - v**3/10 + 2*v**2. Find m such that t(m) = 0.
1
Let r(d) be the first derivative of 27*d**4/4 - 14*d**3 - 34*d**2/3 - 8*d/3 - 7. Suppose r(u) = 0. What is u?
-2/9, 2
Let o be -4*(-4)/(-4) - -3 - -3. Let v(n) be the first derivative of 0*n**o + 2/7*n**3 - 1/7*n**4 - 2/7*n - 3. Determine b, given that v(b) = 0.
-1/2, 1
Let b be (-4141)/(-4444) + 6/(-8). Factor 0 + 6/11*n**2 - 4/11*n - b*n**3.
-2*n*(n - 2)*(n - 1)/11
Let i(u) = u - 1. Let x(o) = 17*o - 2*o**2 + 3 - 9*o - 1. Let z(c) = 4*i(c) - x(c). Factor z(d).
2*(d - 3)*(d + 1)
Factor 10*r**2 + 13*r**3 - 8*r**3 - 2*r**3 + 12*r**3.
5*r**2*(3*r + 2)
Let j be 6 - (150/18 + -3). Factor 2/3*t**4 - j*t**2 + 0*t + 0*t**3 + 0.
2*t**2*(t - 1)*(t + 1)/3
Let l(t) be the first derivative of -t**7/56 - t**6/40 + 3*t**5/80 + t**4/16 + 2*t + 4. Let p(j) be the first derivative of l(j). Factor p(i).
-3*i**2*(i - 1)*(i + 1)**2/4
Let x be 4/14 + (-182)/(-49). Suppose -2*s + x*b = 0, s + 3*b = b. Solve s - a**2 + 0*a - 1/4*a**4 + a**3 = 0 for a.
0, 2
Let a(w) be the third derivative of 0*w**4 + 0 + 0*w + 0*w**7 - 1/360*w**6 + 0*w**3 + 0*w**5 + 1/1008*w**8 + 2*w**2. Factor a(u).
u**3*(u - 1)*(u + 1)/3
Let s be 15 - (-1 - (3 + -5)). Suppose -4*x + 4*k + 32 = 0, -x = -5*k + 2*k - s. What is u in -2*u**x + 2*u - 8*u**3 + 6*u**3 - 2*u + 4*u**4 = 0?
0, 1
Let k = 651/4 - 162. Let u = 101/4 - 25. Determine n, given that -k*n**3 + u - 5/4*n**2 - 1/4*n = 0.
-1, 1/3
Let i(b) = -8*b**5 + 12*b**4 - 10*b**3 - 10*b**2 + 6*b - 2. Let r(n) = n**5 - n**4 + n**3 + n**2. Let h(s) = -i(s) - 6*r(s). Find d such that h(d) = 0.
-1, 1
Let l = -3 - -11. Suppose 2*g + 3*s - 9 = 0, g - l = -3*s + 1. Factor 1/4*r - 1/4*r**3 + g*r**2 + 0.
-r*(r - 1)*(r + 1)/4
Let t(o) be the first derivative of -o**6/105 + o**4/21 - o**2/7 - o + 3. Let z(m) be the first derivative of t(m). Factor z(g).
-2*(g - 1)**2*(g + 1)**2/7
Let r(d) be the third derivative of d**7/105 - d**5/30 + 18*d**2. Factor r(f).
2*f**2*(f - 1)*(f + 1)
Let l be (1138/210)/((-18)/(-15)). Let i = l + -57/14. Factor -2/9 + i*g + 2/9*g**4 - 4/9*g**3 + 0*g**2.
2*(g - 1)**3*(g + 1)/9
Let w(i) be the third derivative of -i**9/1512 + i**8/420 - i**6/90 + i**5/60 - 2*i**3/3 + i**2. Let b(q) be the first derivative of w(q). Factor b(y).
-2*y*(y - 1)**3*(y + 1)
Let z(o) be the second derivative of o**5/30 - 2*o**4/9 + o**3/3 + 2*o. Let z(y) = 0. Calculate y.
0, 1, 3
Let m(l) be the second derivative of -l**6/252 + l**5/70 - l**4/84 + l**3/2 + 3*l. Let g(r) be the second derivative of m(r). Factor g(p).
-2*(p - 1)*(5*p - 1)/7
Let h(q) be the third derivative of -q**8/112 + q**7/70 + q**6/10 - q**5/5 + 11*q**2. Let h(c) = 0. What is c?
-2, 0, 1, 2
Factor -7*g**3 + 11*g**3 - 8*g + 4*g**2 + 0*g**2.
4*g*(g - 1)*(g + 2)
Let j be (-9)/(-3 - 0)*1. Suppose j*g**2 - 3*g**2 - 2*g**2 - 2*g = 0. Calculate g.
-1, 0
Let z = 16 - 11. Let p(d) = -2*d**4 - 11*d**3 - 13*d**2 + d + 3. Let f(y) = y**2 + y - 1. Let w(m) = z*f(m) - p(m). Suppose w(r) = 0. What is r?
-2, 1/2
Let k = 28 + -28. Suppose -1/2*t + k - 1/2*t**2 = 0. Calculate t.
-1, 0
Factor -10/13 - 6*s**2 - 58/13*s + 18/13*s**3.
2*(s - 5)*(3*s + 1)**2/13
Factor -9/5*v - 3/5*v**2 + 0.
-3*v*(v + 3)/5
Let a(x) be the first derivative of -3*x**3 + 3/4*x**4 - 3*x + 9/2*x**2 + 9. Factor a(y).
3*(y - 1)**3
Let j(z) be the second derivative of -z**5/210 - z**4/42 + z**2 - 3*z. Let n(g) be the first derivative of j(g). Factor n(l).
-2*l*(l + 2)/7
Let v(q) = q**2 + q - 1. Let b be v(1). Factor -4*d**4 + 2*d**5 - b + 1 + 4*d**2 - 2*d**3.
2*d**2*(d - 2)*(d - 1)*(d + 1)
Suppose -f + 1 - 10 = 4*a, -5*a + 4*f = -15. Let j(i) = -i**4 + i**3 + i. Let q(h) = -2*h**4 + h**3 + h**2 + 3*h. Let c(u) = a*q(u) + 3*j(u). Factor c(t).
-t**2*(t - 1)**2
Let o(u) be the third derivative of -u**8/3360 + u**6/120 + u**5/30 - 7*u**4/24 - 4*u**2. Let w(z) be the second derivative of o(z). Solve w(b) = 0 for b.
-1, 2
Let m(h) = -h**3 + h**2 - 1. Let c(a) = 9*a**3 - 6*a**2 - 5*a + 2. Let g(z) = -5*c(z) - 40*m(z). What is u in g(u) = 0?
-3, -1, 2
Let l(k) be the second derivative of -k**4/18 - 2*k**3/9 + k**2 - 8*k. Factor l(m).
-2*(m - 1)*(m + 3)/3
Solve -1/3*c**3 + 3*c - 5/3 - c**2 = 0 for c.
-5, 1
Factor -2*q**2 + 13*q + 14*q - 6 - 19*q.
-2*(q - 3)*(q - 1)
Let c(p) be the third derivative of p**6/30 - p**5/5 - p**4/6 + 2*p**3 - 3*p**2 - 2*p. Suppose c(s) = 0. What is s?
-1, 1, 3
Let u(b) be the first derivative of b**5/20 + 5*b**4/16 + 2*b**3/3 + b**2/2 - 4. Factor u(o).
o*(o + 1)*(o + 2)**2/4
Suppose -5*b = 9*b - 84. Let p(i) be the first derivative of 1/6*i**4 + 4 - 1/5*i**5 + 2/9*i**3 - 1/2*i**2 + 1/18*i**b + 1/3*i. Let p(n) = 0. What is n?
-1, 1
Let x(k) = 38*k - 6*k**2 + k**2 + 31*k**2 + 8 + 24*k**2. Let a(v) = 50*v**2 + 37*v + 8. Let q(p) = 2*a(p) - 3*x(p). Suppose q(b) = 0. What is b?
-2/5
Suppose 0*s + 2 = s. 