*(z - 1)/3
Let o(z) be the second derivative of -z**5/30 + z**3/9 - 3*z. Factor o(r).
-2*r*(r - 1)*(r + 1)/3
Solve -1/6*y**2 + 0*y + 0 = 0.
0
Let u(q) be the third derivative of 0*q**4 + 0 + 0*q**3 + 0*q**6 + 1/420*q**7 + 1/672*q**8 + 0*q + 0*q**5 - 4*q**2. Factor u(r).
r**4*(r + 1)/2
Suppose -2*h + 15 = 3*h. Let a = 23/51 - -15/17. Suppose -4/3*b**h + 14/3*b**2 + 0 + a*b - 14/3*b**4 = 0. What is b?
-1, -2/7, 0, 1
Suppose -8*x = -4*x - 8. Let k(g) be the third derivative of 0*g + 1/32*g**4 + 1/480*g**6 - g**x + 1/80*g**5 + 1/24*g**3 + 0. Find f such that k(f) = 0.
-1
Let r be -1*((-1 - 11) + 3). Solve 6*p + 0*p - 15*p**3 + 7 - 7 + r*p**2 = 0.
-2/5, 0, 1
Suppose 6 - 14 = -2*x. Let p be (x + -2)*(1 - 0). Find g such that p*g**2 - 1 + 1 = 0.
0
Let b be -4*(-4)/(-42)*9/(-12). Solve b*c**3 + 2/7*c + 4/7*c**2 + 0 = 0 for c.
-1, 0
Suppose 0 = -4*r - 5*q + 33, 5 + 8 = -r + 3*q. Factor -48 + 2*p**r - p**2 - 9*p**2 - 24*p + 5*p**2.
-3*(p + 4)**2
Suppose 4*f - 6*f = -5*f. Factor -1/4*g + f + g**2.
g*(4*g - 1)/4
Let b(c) be the second derivative of -c**4/54 + c**3/9 + 8*c. Factor b(h).
-2*h*(h - 3)/9
Suppose 2*p - 249 = -p. Let 3*s**5 - p*s**2 + 83*s**2 = 0. Calculate s.
0
Suppose 5*q = 4 + 76. Let u be (-30)/(-56) + (-4)/q. Factor 0*t + u*t**2 - 2/7.
2*(t - 1)*(t + 1)/7
Suppose 3*a = -2*a - 2*c + 2, 5*c = 3*a - 26. Suppose 4*x - 5 - 3 = 0. Factor 7*o - 2*o - x*o**3 - o + 2*o**a.
-2*o*(o - 2)*(o + 1)
Let b(w) be the second derivative of w**8/2240 + w**7/420 + w**6/240 - 5*w**4/12 + 6*w. Let q(s) be the third derivative of b(s). Factor q(g).
3*g*(g + 1)**2
Let f be (-5)/(-25) + 4/5. Let z be f + 4 + (-5 - -2). Let 2*k - 2 + 2*k**2 + k**2 + z = 0. What is k?
-2/3, 0
Let p(d) = d**3 + 5*d**2 - 5*d + 6. Let r be p(-6). Find a such that 1/3*a - 1/3*a**4 - a**2 + a**3 + r = 0.
0, 1
Let p be 2/(-20)*(-8 - -3). Determine v so that -1/4*v**2 - 1/4*v**4 + 0*v + 0 + p*v**3 = 0.
0, 1
Suppose 2*r - 12 = 4*a, 3*r + 16 = -5*a + 1. Factor r - 2/7*x**2 - 2/7*x.
-2*x*(x + 1)/7
Factor 0*z**5 + 40*z**2 - 48*z**3 - 15*z + 24*z**4 + 3*z - 4*z**5.
-4*z*(z - 3)*(z - 1)**3
Let g(y) = -y + 2. Let v be (-1 - (4 + -9))/2. Let o be g(v). Determine u, given that o + 0*u + 2/5*u**2 + 2/5*u**3 = 0.
-1, 0
Let c(o) be the second derivative of 2*o**6/75 - 2*o**5/25 - o**4/15 + 4*o**3/15 - 10*o. Find z, given that c(z) = 0.
-1, 0, 1, 2
Suppose 2*w = 4*n + 7*w, w = 5*n - 29. Suppose -4*g + 7 = -c, -2*g + n*c - 4 + 3 = 0. Factor 2/3*u**g + 0*u + 0.
2*u**2/3
Let d(i) be the third derivative of 0*i + 0 + 1/120*i**6 + 2*i**2 + 1/20*i**5 + 0*i**4 - 2/3*i**3. Find b such that d(b) = 0.
-2, 1
Let o = -32 - 12. Let f = o + 136/3. Factor -2/9 - f*r - 2*r**2.
-2*(3*r + 1)**2/9
Let b be 2 + 2 - (-3 - -4). Let l(u) be the first derivative of -1/20*u**4 - 1/15*u**b + 0*u**2 + 1/25*u**5 + 0*u + 1/30*u**6 - 1. Determine n so that l(n) = 0.
-1, 0, 1
Let x(z) = -z**5 + 8*z**4 + 2*z**3 + 4*z**2 - 3*z - 7. Let n(i) = i**4 - i**3 - i**2 - i - 1. Let c(k) = -21*n(k) + 3*x(k). Suppose c(v) = 0. Calculate v.
-1, 0, 4
Let q(y) = -y**3 + 8*y**2 + 8*y + 11. Let r be q(9). Let c(g) be the first derivative of 2 + 0*g + 0*g**r + 2/15*g**3 + 0*g**4 - 2/25*g**5. Factor c(s).
-2*s**2*(s - 1)*(s + 1)/5
Factor 2/17*h**4 - 4/17*h**2 + 0*h - 2/17*h**3 + 0.
2*h**2*(h - 2)*(h + 1)/17
Let a be 2/(-6) + (-329)/21. Let y be 45/(-6)*a/12. Factor y*t**2 + 4*t**3 + 17/4*t + 1/2.
(t + 2)*(4*t + 1)**2/4
Let f(w) be the second derivative of -25*w**4/12 + 5*w**3/3 - w**2/2 - 5*w. Factor f(n).
-(5*n - 1)**2
Let x = 861 - 1721/2. Solve 0*n**3 + 1/4 + 0*n + 1/4*n**4 - x*n**2 = 0 for n.
-1, 1
Let b(s) be the second derivative of -s**6/165 - s**5/110 + 4*s. Solve b(j) = 0.
-1, 0
Factor 12*l + 4*l + 10*l**4 + 14*l**2 - 12*l + 2*l**5 + 18*l**3.
2*l*(l + 1)**3*(l + 2)
Suppose 0 = -5*s + 12 + 48. Suppose 3*u - 4*u + 12 = -3*m, 5*u + 3*m = -s. Suppose -2*i**2 + u - 4/5*i = 0. What is i?
-2/5, 0
Let i be -35*(-1)/((-30)/(-4)). Let b = -4 + i. Let -b + 4/3*s**2 + 0*s - 2/3*s**4 + 0*s**3 = 0. Calculate s.
-1, 1
Solve 2/9*z**3 - 4/9*z**2 + 4/9 - 2/9*z = 0.
-1, 1, 2
Let p be (-21)/(-1 - -2 - 2). Suppose -s + 3 = 0, 9*v + 2*s = 4*v + p. Suppose x**2 - 3*x**2 + 4*x**v - 2*x**2 - 2*x**3 + 2*x = 0. What is x?
0, 1
Let k(q) be the third derivative of -q**7/70 + 3*q**6/20 - 3*q**5/5 + 5*q**4/4 - 3*q**3/2 + 46*q**2. Factor k(z).
-3*(z - 3)*(z - 1)**3
Let h(j) be the second derivative of j**4/30 + 11*j**3/15 - 12*j**2/5 - 25*j. Find c, given that h(c) = 0.
-12, 1
Let s(r) be the third derivative of 0*r**3 + 0*r - 1/40*r**5 + 6*r**2 + 1/160*r**6 + 0 + 1/32*r**4. Factor s(w).
3*w*(w - 1)**2/4
Let k(y) be the second derivative of 1/30*y**4 + 3*y + 2/5*y**2 - 1/5*y**3 + 0. Suppose k(b) = 0. What is b?
1, 2
Let i(b) be the first derivative of -b**4/32 - b**3/8 + 9*b**2/16 - 5*b/8 + 25. Determine u so that i(u) = 0.
-5, 1
Let n be (-4)/(-10) + 4*(-6)/160. Factor n*u**3 + 1/2*u**2 + 0 - 1/4*u**4 + 0*u.
-u**2*(u - 2)*(u + 1)/4
Let p(l) be the second derivative of -2*l**6/45 - 2*l**5/5 + 7*l**4/9 - 12*l. Find o such that p(o) = 0.
-7, 0, 1
Let k = 596/5 + -119. Factor -1/5*j**2 + 2/5 + k*j.
-(j - 2)*(j + 1)/5
Find q, given that -4*q**2 + 4*q**2 + 0*q**2 - 2*q**2 = 0.
0
Let k(d) be the third derivative of -d**7/315 - d**6/540 + 4*d**2. Let k(s) = 0. Calculate s.
-1/3, 0
Let m(a) = 87*a**4 - 85*a**3 + 11*a**2 + a - 7. Let c(b) = -44*b**4 + 42*b**3 - 6*b**2 + 4. Let f(i) = -7*c(i) - 4*m(i). Suppose f(h) = 0. Calculate h.
-1/4, 0, 2/5, 1
Let v(a) be the second derivative of a**7/147 + 2*a**6/105 - a**5/35 - 2*a**4/21 + a**3/21 + 2*a**2/7 + 8*a. Determine r, given that v(r) = 0.
-2, -1, 1
Solve -12*q**4 - 26*q**5 - 3*q**4 + 31*q**5 = 0.
0, 3
Let n(b) be the first derivative of -b - b**3 + 3/2*b**2 - 2 + 1/4*b**4. Factor n(z).
(z - 1)**3
Let q(i) = 3*i**3 - 2*i + 1. Let d be q(1). Let v(h) be the second derivative of 0 - 2*h - 2/5*h**d - 1/30*h**4 + 1/5*h**3. Suppose v(o) = 0. What is o?
1, 2
Let j(i) = i**5 + i**3 - i. Let y(n) = -n**5 - 3*n**4 + 11*n**3 + 15*n**2 + 4*n. Let z(f) = 2*j(f) - y(f). Determine s so that z(s) = 0.
-1, 0, 2
Suppose 0*y - 8 = -2*y, 2*g - 24 = -4*y. Suppose 2 = j - 4*l - 4, -3*j + g*l = -10. Factor 3 + h**5 + 2*h**4 - 3 - 2*h**j - h.
h*(h - 1)*(h + 1)**3
Suppose 2*w + 2*w - 16 = 0. Let n be (-1 - 1)/(w/(-4)). Factor -2/3*i**2 + n*i - 4/3.
-2*(i - 2)*(i - 1)/3
Let n(j) be the first derivative of -j**8/560 - j**7/280 - j**3/3 + 4. Let o(m) be the third derivative of n(m). Factor o(h).
-3*h**3*(h + 1)
Let g(z) = z**2 + 3. Let y be g(-3). Factor 2*d**3 - y*d - 4*d**2 + 12*d.
2*d**2*(d - 2)
Factor 7*v**2 + 2*v**3 - 4*v - 7*v**4 + 0*v**3 + 2*v + 0*v**2.
-v*(v - 1)*(v + 1)*(7*v - 2)
Let g(w) be the third derivative of 5*w**8/48 - w**7/21 - 7*w**6/24 + w**5/6 + 23*w**2. Let g(p) = 0. What is p?
-1, 0, 2/7, 1
Let p(u) be the first derivative of -u**8/8400 - u**7/4200 + u**6/1800 + u**5/600 + 7*u**3/3 - 7. Let q(o) be the third derivative of p(o). Factor q(h).
-h*(h - 1)*(h + 1)**2/5
Let m(s) be the third derivative of -s**6/40 - s**5/20 + s**4/2 + 2*s**3 + 7*s**2. Factor m(j).
-3*(j - 2)*(j + 1)*(j + 2)
Let g be (-18)/(-8) + 1/(-4). Let p(h) be the third derivative of 0*h - 1/6*h**4 + 0*h**3 - g*h**2 + 1/30*h**5 + 0. Solve p(m) = 0.
0, 2
Factor -v**4 + 6*v**4 - 17*v**2 + 9*v**2 - v**4 + 4*v**3.
4*v**2*(v - 1)*(v + 2)
Solve -20*i + 8 + 5*i**2 - 7*i**3 + 8*i**2 + 5*i**2 + i**4 = 0 for i.
1, 2
Let h(k) be the third derivative of k**5/90 + k**4/72 - k**3/6 + 7*k**2. What is d in h(d) = 0?
-3/2, 1
Let q(u) = u**3 + u**2 + u + 1. Let f(y) = -26*y**3 - 34*y**2 - 6*y + 2. Let k(p) = f(p) - 2*q(p). Suppose k(o) = 0. What is o?
-1, -2/7, 0
Let b(y) be the second derivative of y**8/2520 - y**7/630 + y**5/90 - y**4/36 + y**3/2 + 8*y. Let o(f) be the second derivative of b(f). Factor o(l).
2*(l - 1)**3*(l + 1)/3
Factor -16/3*s + 32/3 + 2/3*s**2.
2*(s - 4)**2/3
Let w be 385/(-132)*2/(-7). Let v(y) be the second derivative of y + 0 + w*y**3 + 1/4*y**4 + y**2. Factor v(p).
(p + 1)*(3*p + 2)
Let a(b) be the third derivative of b**8/56 + 2*b**7/21 + b**6/15 - 4*b**5/15 + 7*b**2. Find z such that a(z) = 0.
-2, 0, 2/3
Let k(z) be the first derivative of z**4/48 + z**3/6 + z**2/2 + 4*z - 9. Let t(c) be the first derivative of k(c). Suppose t(q) = 0. Calculate q.
-2
Let x(j)