(2*y + 1)**2/4
Let k(v) = v**4 + v**2 + v - 1. Let u(i) = -2*i**4 - 6*i**3 + 6*i**2 - 7*i + 3. Let r(b) = 3*k(b) + u(b). Let r(o) = 0. Calculate o.
0, 1, 4
Suppose 23*v - 49 - 20 = 0. Solve 0*i**2 + 0 + 1/3*i**v + 0*i = 0.
0
Factor -2/5 + 3/10*l + 1/10*l**2.
(l - 1)*(l + 4)/10
Let v(g) be the first derivative of 2*g**3/3 + 3*g**2 + 4*g + 3. Let x = 0 + -11. Let y(h) = 6*h**2 + 18*h + 12. Let t(o) = x*v(o) + 4*y(o). Factor t(b).
2*(b + 1)*(b + 2)
Suppose -5/2*c - 10*c**2 - 5/2*c**5 + 5*c**4 + 5 + 5*c**3 = 0. Calculate c.
-1, 1, 2
Let s(q) = 6*q. Suppose 4*r - 5*r = 0, -3*a - 6 = -r. Let d(l) = l**2 - 25*l + 1. Let g(i) = a*d(i) - 9*s(i). Factor g(p).
-2*(p + 1)**2
Solve -3/7*v + 3/7*v**2 + 0 = 0.
0, 1
Let t = -2168/7 + 310. Suppose -6/7*w**3 + 0 - t*w**4 - 2/7*w - 6/7*w**2 = 0. What is w?
-1, 0
Let z(t) be the second derivative of -t**4/4 + 3*t**3/2 + 6*t**2 + 13*t. What is h in z(h) = 0?
-1, 4
Let i = -53 - -55. Factor 8/15 + 2/15*s**i - 8/15*s.
2*(s - 2)**2/15
Let v(r) = -8*r**2 + 6*r. Let f(s) = -3*s**2 + 2*s. Let p(n) = -14*f(n) + 5*v(n). Factor p(g).
2*g*(g + 1)
Let o(u) be the third derivative of u**7/6720 - u**6/480 + u**5/80 - u**4/12 - 5*u**2. Let h(r) be the second derivative of o(r). Factor h(z).
3*(z - 2)**2/8
Let m(u) = -u**3 - 6*u**2 + u - 4. Let t(r) = -r**3 + r + 1. Let l(y) = -m(y) + 2*t(y). Let j be l(6). Factor 12 - 17*c - 9 - 7*c - 2*c**3 + 13 + j*c**2.
-2*(c - 2)**3
Let y = 3/4 - 1/4. Factor 1/2*m - m**3 + 1/2*m**5 - m**2 + 1/2 + y*m**4.
(m - 1)**2*(m + 1)**3/2
Let j(g) be the third derivative of 0*g + 1/45*g**6 + 0 + 0*g**3 - 2/45*g**5 + 0*g**4 - 1/315*g**7 - 3*g**2. Factor j(q).
-2*q**2*(q - 2)**2/3
Let p(b) be the first derivative of b**6/540 + b**5/60 + b**4/18 - 5*b**3/3 + 2. Let h(s) be the third derivative of p(s). Factor h(r).
2*(r + 1)*(r + 2)/3
Let v(w) be the first derivative of 1/16*w**4 - 1/8*w**2 + 2 - 1/4*w + 1/12*w**3. Suppose v(l) = 0. What is l?
-1, 1
Let a(v) be the first derivative of v**4/4 + v**3 + 3*v**2/2 - 4*v - 2. Let h(r) be the first derivative of a(r). Let h(t) = 0. Calculate t.
-1
Let 0 - 2/7*y**2 + 2/7*y = 0. What is y?
0, 1
Let s(z) be the third derivative of -z**5/90 + 17*z**4/18 - 289*z**3/9 + 4*z**2 - 7. Determine o so that s(o) = 0.
17
Let x = 43 - 43. Factor 0*q + x + 2/9*q**2.
2*q**2/9
Suppose 3*r = 10 - 1. Suppose -23 - 17 = -r*m + 2*s, 0 = -m + 2*s + 8. Suppose -2*k**3 + 5*k**5 - 16*k - 3*k**4 + m*k = 0. What is k?
-2/5, 0, 1
Let z(r) be the third derivative of -r**8/112 + r**6/20 - r**4/8 - 15*r**2. Factor z(a).
-3*a*(a - 1)**2*(a + 1)**2
Let f(c) be the first derivative of 4*c**5/5 - 4*c**3 - 4*c**2 + 51. Solve f(y) = 0.
-1, 0, 2
Let b(g) be the second derivative of -2*g**7/21 - 4*g**6/5 - 13*g**5/5 - 4*g**4 - 8*g**3/3 + 25*g. Solve b(i) = 0 for i.
-2, -1, 0
Let x(r) be the third derivative of 3*r**8/112 - 3*r**7/70 + r**5/45 - r**2. Factor x(c).
c**2*(3*c - 2)**2*(3*c + 1)/3
Let b be 0/(-2) - 0/1. Let f(p) be the third derivative of b*p - 2*p**2 - 1/30*p**4 + 1/15*p**3 + 1/150*p**5 + 0. Factor f(j).
2*(j - 1)**2/5
Suppose -3*t = 3*w, 8*t - 12*t = 5*w - 2. Find g, given that w*g - 4/3 - 2/3*g**2 = 0.
1, 2
Let t(j) = -j**4 - j**3 - j. Let c(p) = 3*p**4 + 5*p**3 + 3*p**2 + 3*p. Let v(d) = 2*c(d) + 4*t(d). Factor v(z).
2*z*(z + 1)**3
Suppose 3 + 0 = s. Let q be -2 - (-1 + (-4)/s). Let 1/3*d - 1/3*d**2 + 0 + q*d**4 - 1/3*d**3 = 0. What is d?
-1, 0, 1
Let z(v) = v**3 + 20*v**2 - 22*v - 19. Let h be z(-21). Let u(s) be the second derivative of 0*s**h + 1/12*s**3 - 1/24*s**4 + 0 + 2*s. Factor u(l).
-l*(l - 1)/2
Factor 101*z**2 - 99*z**2 + 9*z + 8 + z.
2*(z + 1)*(z + 4)
Let v(t) be the first derivative of t**4/24 - t**3/12 + 4*t - 3. Let q(g) be the first derivative of v(g). Factor q(x).
x*(x - 1)/2
Let v(l) = -l**2 + 6*l - 5. Let z be v(4). Let o(g) be the second derivative of -1/40*g**5 - 1/24*g**4 + 0 + g + 1/12*g**z + 1/4*g**2. Factor o(i).
-(i - 1)*(i + 1)**2/2
Let l(p) be the third derivative of p**6/660 + 4*p**5/165 + 7*p**4/44 + 6*p**3/11 - 19*p**2. Factor l(k).
2*(k + 2)*(k + 3)**2/11
Let y be -1 + 3*(-70)/(-147). Factor 3/7*n**3 - y*n + 3/7*n**4 + 0 - 3/7*n**2.
3*n*(n - 1)*(n + 1)**2/7
Suppose 35*n - 123 = -6*n. Factor 2/11 - 2/11*u**n - 2/11*u**2 + 2/11*u.
-2*(u - 1)*(u + 1)**2/11
Let f be (-22)/(-44)*((-4)/2)/(-210). Let d(k) be the third derivative of 0 + k**2 + f*k**5 + 2/21*k**3 - 1/28*k**4 + 0*k. Let d(g) = 0. Calculate g.
1, 2
Let v be (-6)/3*10/(-4). Suppose 3*f + 4*n = 4, 4*f = 2*f - v*n + 5. Factor 8*y**2 - 10*y + 4 + 0*y**2 - 2*y**3 + f*y**3.
-2*(y - 2)*(y - 1)**2
Let g(t) be the first derivative of t**4/12 - t**2/2 + 2*t/3 - 11. Factor g(q).
(q - 1)**2*(q + 2)/3
Let w be (-5)/2*48/(-40). Let h(z) be the first derivative of -4/5*z + 1 - 1/5*z**2 + 2/15*z**w. Factor h(a).
2*(a - 2)*(a + 1)/5
Let n(o) = -o**2 - 8*o + 13. Let b be n(-9). Solve 21/2*z**3 - 12*z**2 + 2*z + 0 + 49/2*z**b = 0 for z.
-1, 0, 2/7
Let x(r) = r**3 + 8*r**2 + 7*r - 7. Let l be x(-7). Let g = 9 + l. What is c in 2*c**3 + c**2 - c**3 - 4*c**g + 5*c**2 = 0?
-2, 0
Suppose -8*x**4 + 8/3*x**3 + 0*x**2 + 0 + 0*x + 6*x**5 = 0. What is x?
0, 2/3
Let x be ((-9)/(-3) + -3)/1. Let t(i) be the first derivative of 2/9*i - 4/27*i**3 - 1 + x*i**4 + 2/45*i**5 + 0*i**2. Determine n so that t(n) = 0.
-1, 1
Let t(l) be the third derivative of -l**6/60 + l**5/10 + 3*l**4/4 + 5*l**3/3 - 25*l**2 - 2*l. Factor t(p).
-2*(p - 5)*(p + 1)**2
Let r(t) = -t**3 + 6*t**2 - 5*t + 4. Let j be r(5). Determine q so that -5*q**5 - 30*q + 14*q**5 + 36*q + 15*q**2 - 15*q**3 - 15*q**j = 0.
-1, -1/3, 0, 1, 2
Let t(c) be the first derivative of -c**4/4 - 3*c**3 + 5*c**2 + 2*c - 1. Let n be t(-10). Solve -1/2*l**5 - 7/2*l**3 + 4*l - 5/2*l**4 + 2 + 1/2*l**n = 0 for l.
-2, -1, 1
Let w(l) = -l**3. Let c(o) = 4*o**2. Let a(g) = -c(g) - 6*w(g). Factor a(h).
2*h**2*(3*h - 2)
Let l(x) be the second derivative of -9*x**7/14 - 8*x**6/5 - 3*x**5/4 + x**4/2 + 15*x. Find u such that l(u) = 0.
-1, 0, 2/9
Let x = -54 - -56. Find r, given that 0 + 1/4*r**4 + 3/4*r**x + 3/4*r**3 + 1/4*r = 0.
-1, 0
Let h(i) be the first derivative of i**7/210 - i**5/30 + i**3/6 + 2*i**2 + 1. Let g(j) be the second derivative of h(j). Suppose g(o) = 0. Calculate o.
-1, 1
Factor -1/5*v**4 - 1/5*v**2 - 2/5*v**3 + 0*v + 0.
-v**2*(v + 1)**2/5
Suppose 0 = -o + 5, o + 2*o = 3*f + 15. Find p, given that 0 - 1/3*p**5 - p**3 - 1/3*p**2 - p**4 + f*p = 0.
-1, 0
Let r(q) be the third derivative of -q**7/210 + q**6/120 + 5*q**2. Determine d, given that r(d) = 0.
0, 1
Let r be ((-24)/(-10))/(-1)*(-80)/32. Factor 6*f**3 - r*f**2 + 0 - 3/2*f**4 + 0*f.
-3*f**2*(f - 2)**2/2
Let p(l) be the first derivative of l**6/4 + l**5/5 - 3*l**4/2 - 4*l**3/3 - 51. Solve p(f) = 0.
-2, -2/3, 0, 2
Let p be (-49)/(-14) + 2/4. Suppose p*t - 5 = 3*t. Factor 0 - 116/5*g**2 - 8/5*g - 243*g**4 - 594/5*g**3 - 729/5*g**t.
-g*(g + 1)*(9*g + 2)**3/5
Let f(p) = p**2 - p + 1. Let c be f(0). Suppose -m = s - 3*m - 8, 3*s + 9 = -5*m. Factor -c + 4*k - 2*k**s - 2 + 1.
-2*(k - 1)**2
Let a(r) be the first derivative of -r**4/7 - r**3/3 + r**2/7 + 5. Factor a(y).
-y*(y + 2)*(4*y - 1)/7
Factor 0*m + 4/7*m**2 - 2/7*m**4 + 0*m**3 - 2/7.
-2*(m - 1)**2*(m + 1)**2/7
Let u(m) be the first derivative of 6/25*m**5 + 2 + 6/5*m**2 + 1/10*m**6 + 0*m - 4/5*m**3 - 9/20*m**4. Factor u(b).
3*b*(b - 1)**2*(b + 2)**2/5
Let z = -119/4 - -30. Let w(d) be the first derivative of -1/20*d**5 + 2 - 1/4*d**2 - 1/4*d + 1/6*d**3 - 1/12*d**6 + z*d**4. Suppose w(y) = 0. Calculate y.
-1, -1/2, 1
Factor 2/3*x**4 + 0 - 4/3*x - 10/3*x**2 + 2/3*x**5 - 2*x**3.
2*x*(x - 2)*(x + 1)**3/3
Let o(l) be the third derivative of -l**5/20 + l**4/8 + l**3 + 7*l**2. Factor o(d).
-3*(d - 2)*(d + 1)
Factor -12*c**4 - 22*c**3 - 37*c - 5*c**3 + 75*c + 30*c**2 - 29*c.
-3*c*(c - 1)*(c + 3)*(4*c + 1)
Let z(u) = 11*u**4 - 11*u**3 + 9*u. Suppose 2*m + 15 + 3 = 0. Let g(c) = -5*c**4 + 5*c**3 - 4*c. Let b(p) = m*g(p) - 4*z(p). Suppose b(h) = 0. Calculate h.
0, 1
Let n be (10/(-4))/(-5) - 1/2. Factor 0*x**2 - 2/7*x**4 + n*x**3 + 2/7*x**5 + 0*x + 0.
2*x**4*(x - 1)/7
Let h(d) be the third derivative of d**8/3360 - d**6/360 + d**4/8 + d**2. Let w(y) be the second derivative of h(y). Suppose w(k) = 0. Calculate k.
-1, 0, 1
Let i(w) be the second derivative of -w**8/2520 + w**6/540 +