third derivative of -4/315*g**7 + 0*g**4 + v*g**3 - 1/60*g**6 + 1/90*g**5 + 3*g**2 + 0*g + 0. Factor a(x).
-2*x**2*(x + 1)*(4*x - 1)/3
Let n = 68/7 + -50/7. Factor 10/7*g**3 + 2*g - 2/7*g**4 - 4/7 - n*g**2.
-2*(g - 2)*(g - 1)**3/7
Let k(l) = 3*l**3 - 3*l**2 + l - 1. Let y be (-1)/(2*1/(-10)). Let b(f) = 4*f**3 - 4*f**2 + f - 1. Let j(i) = y*k(i) - 4*b(i). Factor j(v).
-(v - 1)**2*(v + 1)
Let r be 0 + (-1 - -1) + 14. Suppose -b + 0*b - 6 = -5*d, -2*b = 3*d - r. Factor u**3 - u**b - 3*u**4 + 3*u**4 + u**2 - u**5.
-u**2*(u - 1)*(u + 1)**2
Let k(u) = 13*u**4 - 4*u**3 + 5*u**2 - 5. Let v(y) = -6*y**4 + 2*y**3 - 2*y**2 + 2. Let w be (2/(-3) + -1)*-3. Let r(q) = w*v(q) + 2*k(q). Factor r(s).
-2*s**3*(2*s - 1)
Let t = 48 + -45. Let u(h) be the first derivative of 0*h - 4/15*h**t - 1/5*h**2 - 1/10*h**4 - 2. Factor u(o).
-2*o*(o + 1)**2/5
Let z(m) be the third derivative of -m**8/40320 + m**7/5040 + m**5/15 - 2*m**2. Let g(b) be the third derivative of z(b). Factor g(s).
-s*(s - 2)/2
Factor 0*k**2 + 0 + 3/2*k**3 + 0*k.
3*k**3/2
Let p(s) be the first derivative of -5*s**6/27 + 4*s**5/15 + 4*s**4/9 - 2. Factor p(x).
-2*x**3*(x - 2)*(5*x + 4)/9
Let i(b) be the second derivative of 2*b**9/945 + b**8/420 - b**7/84 - b**6/45 - b**5/60 + b**4/6 - 5*b. Let g(z) be the third derivative of i(z). Factor g(x).
2*(x - 1)*(x + 1)*(4*x + 1)**2
Let o(t) = -15*t**2 - 6*t. Let i(d) = d**2 + d. Let h(b) = -3*i(b) - o(b). Find w such that h(w) = 0.
-1/4, 0
Suppose -4*t + 9 = -7. Let m be 1 + (t/(-6))/1. Suppose -1/3*g**3 - m - g**2 - g = 0. What is g?
-1
Solve -36*r + 3 + 31*r**2 + 58*r**2 + 19*r**2 = 0.
1/6
Let a(q) be the first derivative of q**6/11 - 2*q**5/55 - 9*q**4/22 + 6*q**3/11 - 2*q**2/11 + 10. Let a(i) = 0. What is i?
-2, 0, 1/3, 1
Let s be ((-9)/(-4))/((-18)/(-348)). Let w = 45 - s. Let -1/2*l**2 - w*l - 1 = 0. Calculate l.
-2, -1
Let g(j) be the second derivative of 0*j**3 + 0*j**2 - 1/14*j**7 - 1/10*j**6 + 3/20*j**5 + 0 + 1/4*j**4 - 3*j. Solve g(p) = 0 for p.
-1, 0, 1
Let q = 1 - -4. Suppose 0 = q*b + 5*x - 12 - 18, -22 = -5*b + 3*x. Find y, given that -2*y**b - 4/7*y - 26/7*y**2 - 46/7*y**4 + 0 - 54/7*y**3 = 0.
-1, -2/7, 0
Let a(p) = p**2 + 8*p - 20. Let n be a(-10). Factor 1/4*r**2 - 1/2*r + n + 1/4*r**3.
r*(r - 1)*(r + 2)/4
Factor 0 - 2/3*h**2 + 0*h + 4/3*h**3 - 2/3*h**4.
-2*h**2*(h - 1)**2/3
Let w(p) = p**4 - p**3 - 1. Let g(z) = -44*z**4 - 45*z**3 - 17*z**2 - 2*z + 2. Let c(t) = -g(t) - 2*w(t). What is r in c(r) = 0?
-1/2, -1/3, -2/7, 0
Let x(k) be the first derivative of -k**3/3 + 4. Let l(g) = -g**3 + 3*g**2 - 5*g + 2. Let r(y) = l(y) - x(y). Factor r(p).
-(p - 2)*(p - 1)**2
Factor -l**2 + 13*l**3 + 3*l - 14*l**3 - 1 + 2 - 2*l.
-(l - 1)*(l + 1)**2
Let q(p) be the third derivative of -p**8/1176 - 2*p**7/735 + p**5/105 + p**4/84 + 2*p**2 - 4. Factor q(c).
-2*c*(c - 1)*(c + 1)**3/7
Let m(l) = l**4 - 5*l**2 + 4*l. Let o(q) = q**4 - 6*q**2 + 5*q. Let u = -8 + 12. Let c(a) = u*o(a) - 5*m(a). Find d such that c(d) = 0.
-1, 0, 1
What is j in -3*j**3 - 2*j**3 - j**2 + 4*j**3 + 2*j**2 = 0?
0, 1
Let g = 280 - 278. Let z be (-2)/6 + (-14)/(-24). Factor 3/4*a**4 + z*a**5 + 3/4*a**3 + 1/4*a**g + 0 + 0*a.
a**2*(a + 1)**3/4
Let n = -6 - -4. Let k(x) = 4*x**3 - 2*x**2 - 2. Let u(j) be the first derivative of -9*j**4/4 + 4*j**3/3 + 5*j + 1. Let w(c) = n*u(c) - 5*k(c). Solve w(f) = 0.
0, 1
Let y(r) be the first derivative of 0*r - 1/8*r**6 + 3/20*r**5 + 4 + 0*r**2 - 1/4*r**3 + 3/16*r**4. Let y(u) = 0. What is u?
-1, 0, 1
Suppose 2*n = -3*n. Suppose 2*c + 0*c = n. Let 2*k**3 + c*k**3 - 2*k**4 + k**3 + k**3 - 2*k**2 = 0. What is k?
0, 1
Let d be 3 - 40/50 - 1/5. Solve 80/7*z**d + 8/7 + 52/7*z = 0.
-2/5, -1/4
Suppose -2/3*y**3 + 2/9*y**2 - 2/9*y**5 + 2/3*y**4 + 0*y + 0 = 0. What is y?
0, 1
Let b(s) = 20*s - 2. Let a be b(1). Let r be (5/2)/(30/a). Find t, given that -3/2*t**2 + 3*t - r = 0.
1
Let r(m) be the second derivative of -m**4/24 - m**3/6 - m**2/4 - 2*m. Solve r(z) = 0 for z.
-1
Let j(r) be the first derivative of 1/120*r**6 - 1/6*r**3 + 1/60*r**5 + 1/2*r**2 + 0*r - 1/24*r**4 + 2. Let c(q) be the second derivative of j(q). Factor c(z).
(z - 1)*(z + 1)**2
Let d(t) be the first derivative of 16*t**5/5 + 8*t**4 - 4*t**3 - 10*t**2 + 8*t + 44. Factor d(g).
4*(g + 1)*(g + 2)*(2*g - 1)**2
Let k(q) be the first derivative of -q**5/10 - q**4 - 7*q**3/6 + 57. Solve k(r) = 0.
-7, -1, 0
Suppose 4*w + 13 = 5*s, 6*w - 5*s + 10 = w. Factor 0 + l**w - 1/4*l**4 + 1/2*l - 5/4*l**2.
-l*(l - 2)*(l - 1)**2/4
Let x be (2 - 0) + (-3 - -3). Suppose -3*b + x = -4. Determine o, given that 0 - 2/7*o**b + 0*o = 0.
0
Let v = -2 + 6. Suppose -v*i = -3*i - 2. Suppose -1/2*z**3 + 0 - 1/2*z**4 + 1/2*z + 1/2*z**i = 0. Calculate z.
-1, 0, 1
Suppose 0 = 4*y + 5*h + 20, -h = -y - 0*h + 4. Suppose -4*v + 3*v = y. Factor -1/2*n**2 + 1/2*n + v.
-n*(n - 1)/2
Solve -3*k**4 - 5*k**3 + 9*k + 6 - 5*k**3 - 9*k**3 - 3*k**2 + 10*k**3 = 0.
-2, -1, 1
Let y = 27 + -27. Let v(r) be the second derivative of y + r**2 + 0*r**3 + r - 1/6*r**4. Factor v(f).
-2*(f - 1)*(f + 1)
Let q(o) be the third derivative of -o**5/30 + o**4/12 - 7*o**2. Factor q(v).
-2*v*(v - 1)
Let m(x) be the third derivative of x**8/3360 + 11*x**7/7560 + x**6/540 + x**5/15 + 7*x**2. Let s(a) be the third derivative of m(a). Let s(l) = 0. Calculate l.
-1, -2/9
Suppose -3*t = 2*t - 15. Let w(a) = -a**3 + a. Let h(b) = -b**4 - b**3 - b**2 + 3*b. Let c(i) = t*w(i) - h(i). Suppose c(r) = 0. What is r?
0, 1
Let g(b) be the second derivative of 2*b - 2*b**3 + 7*b**4 + 0*b**2 + 0 - 147/20*b**5. What is z in g(z) = 0?
0, 2/7
Let s(i) be the third derivative of i**5/300 - 2*i**3/15 - 2*i**2. Factor s(o).
(o - 2)*(o + 2)/5
Let n(y) = 11*y**5 + 21*y**4 + 4*y**3 - 20*y**2 - 13*y - 5. Let r(d) = 12*d**5 + 21*d**4 + 3*d**3 - 21*d**2 - 12*d - 6. Let l(i) = 3*n(i) - 2*r(i). Factor l(m).
3*(m - 1)*(m + 1)**3*(3*m + 1)
Let c(j) be the second derivative of -j**5/20 + j**4/3 - j**3/3 + j. Let r be c(3). Let -r*k**2 + k + k**2 - 3*k = 0. Calculate k.
-1, 0
Let t(p) = p**2 - 4*p + 6. Let s be t(4). Let i = -3 + s. Let 5*h**3 - 8*h - 2 + 5*h**2 - 3*h**2 + 3*h**i = 0. Calculate h.
-1, -1/4, 1
Let d be 5/(-25) + (-1154)/5. Let w be (-2)/10 - d/55. Find f, given that -4*f**3 - 3*f**4 + 5/3*f**2 + 4/3 + w*f = 0.
-1, -2/3, 1
Let t(k) be the second derivative of 0*k**3 + 7/20*k**5 + 0*k**2 + 4/5*k**6 - 2*k + 1/18*k**4 + 9/14*k**7 + 0. Factor t(u).
u**2*(3*u + 1)**2*(9*u + 2)/3
Let c be (7 + -4)/(3 - 9/(-2)). Factor 2/5*v**2 - c*v - 2/5*v**4 + 0 + 2/5*v**3.
-2*v*(v - 1)**2*(v + 1)/5
Let o be (-10)/4*12/(-10). Let r be (o/(-6))/(2 + -3). Factor -4/3*t**2 + 1/3 - 1/2*t - r*t**3.
-(t + 1)*(t + 2)*(3*t - 1)/6
Suppose 33 = -4*t + 5. Let h = t - -12. Find z such that -3*z**2 + h*z**2 - z**2 = 0.
0
Find r, given that -2*r**3 - 13*r + 13*r + 5*r**2 - 3*r**2 = 0.
0, 1
Let t be 6/(5/10 - -1). Solve 3/2*q**2 - 3/2*q**3 + 0 - 1/2*q + 1/2*q**t = 0.
0, 1
Let d = 141 - 555/4. Factor 1/4 + 15/4*p**2 - d*p + 25/4*p**3.
(p + 1)*(5*p - 1)**2/4
Let o = 546 - 544. Determine n, given that -o*n**4 - 4/5*n**3 + 0 + 0*n**2 + 0*n - 6/5*n**5 = 0.
-1, -2/3, 0
Let n(i) be the first derivative of -i**5/20 + i**4/8 - i**2/2 - 8. Let s(c) be the second derivative of n(c). Factor s(m).
-3*m*(m - 1)
Let n be (-8)/12*57/2. Let l = -169/9 - n. Solve -l*r + 2/9*r**2 + 0 = 0 for r.
0, 1
Let x be (3/8)/((-6)/(-4)). Let u be 1/2 + (-1)/2. What is b in x*b**2 + u - 1/2*b = 0?
0, 2
Let l(o) be the third derivative of o**7/525 - o**6/100 + o**5/150 + o**4/20 - 2*o**3/15 - 5*o**2. What is w in l(w) = 0?
-1, 1, 2
Let g = 28 + -24. Let v(h) be the third derivative of -h**2 + 5/96*h**g - 7/240*h**5 + 1/12*h**3 + 0*h + 0. Factor v(w).
-(w - 1)*(7*w + 2)/4
Let b be 9/(-15) - (-13)/5. Let a(n) be the third derivative of -1/270*n**5 + 0*n + 0 - 2*n**b - 2/27*n**3 + 1/36*n**4. Find z, given that a(z) = 0.
1, 2
Let l be -9*(-12)/90*(-5)/(-3). Suppose -4/5*v + 2/5*v**l - 6/5 = 0. Calculate v.
-1, 3
Suppose -4 = 4*x, u + 2*x = -2*x - 1. Determine a so that 180*a**4 - 54*a**4 - 2*a + a - 3*a + 36*a**2 - 109*a**u - 49*a**5 = 0.
0, 2/7, 1
Let o(b) be the first derivative of b**5/80 - b**3/8 - b**2 - 3. Let u(y) be the second derivative of o(y). Factor u(f).
3*(f - 1)*(f + 1)/4
Let z be (-2)/(1/(-2) - 0). Let p(g) be the third deriv