+ 0*z + 3 + 2/25*z**5. Let n(v) = 0. What is v?
0, 1
Factor 2*t**2 + 2*t - t**2 - 5*t**2 + 5*t**2.
t*(t + 2)
Let o(l) be the second derivative of -3*l - 5/6*l**4 - 1/2*l**2 + 0 - 1/6*l**6 + 1/42*l**7 + 5/6*l**3 + 1/2*l**5. Let o(k) = 0. What is k?
1
Let b = -1 + 4. Let -3*s**b - s**2 - 2*s**2 - s - 3*s**2 - 2*s = 0. Calculate s.
-1, 0
Let m(y) be the second derivative of y**7/84 + y**6/12 + 9*y**5/40 + 7*y**4/24 + y**3/6 - 2*y. Factor m(v).
v*(v + 1)**3*(v + 2)/2
Let o be -1 + 6/(-4)*-2. Let -2*z + 0*z + z + z**o = 0. What is z?
0, 1
Let a be 10/40 - 86/(-8). Suppose 12*r + 4*r**2 - 14 + 3*r**2 - a*r**2 + 6 = 0. Calculate r.
1, 2
Let t(f) be the second derivative of f**6/75 - f**4/30 + 11*f. Suppose t(l) = 0. Calculate l.
-1, 0, 1
Suppose -2*q = 2*d + 8, 5*q + 3*d = -7 - 5. Suppose -m + 0 = u - 3, -5*u + 15 = m. Factor 3*a**4 + q*a**2 + m - 3/4*a**5 + 0*a - 3*a**3.
-3*a**3*(a - 2)**2/4
Factor 1/3*y + 0*y**3 + 2/3*y**4 - 1/3*y**5 - 2/3*y**2 + 0.
-y*(y - 1)**3*(y + 1)/3
Let x(c) be the second derivative of c**6/105 - c**5/35 - c**4/14 + 4*c**3/21 + 4*c**2/7 + 14*c. Factor x(g).
2*(g - 2)**2*(g + 1)**2/7
Let u(z) be the second derivative of -4*z**7/945 + 2*z**6/135 - z**5/54 + z**4/108 - z**2 + 2*z. Let m(f) be the first derivative of u(f). Factor m(t).
-2*t*(t - 1)*(2*t - 1)**2/9
Let a = 5 + -2. Let x(z) be the second derivative of -1/3*z**a - 2*z + 2/3*z**4 + 0 + 0*z**2. Factor x(i).
2*i*(4*i - 1)
Let q(p) be the third derivative of -p**7/210 + p**6/120 + p**5/60 - p**4/24 + 17*p**2. What is b in q(b) = 0?
-1, 0, 1
Let m be (-3)/(-12)*16/18. Factor -2/3*l**4 + 2/9 - m*l**5 + 4/9*l**2 + 2/3*l - 4/9*l**3.
-2*(l - 1)*(l + 1)**4/9
Let r = -209 - -209. Let i(t) be the third derivative of 0*t**4 + 3*t**2 + r*t + 1/60*t**5 + 0*t**3 + 0 - 1/120*t**6. Suppose i(g) = 0. Calculate g.
0, 1
Suppose 2 = 2*k - 2. Find n, given that -3/4*n**k + 3/4 + 0*n = 0.
-1, 1
Suppose -16 = -151*l + 143*l. Determine y, given that 6/5*y + 3/5*y**l + 0 = 0.
-2, 0
Let w(q) = q + 7. Let u be w(7). Factor -5*z - u*z**2 + z - z + z.
-2*z*(7*z + 2)
Let v = -9 + 9. Let n be (-3)/(-2) + v/(-2). Factor -1 + n*t - 1/2*t**2.
-(t - 2)*(t - 1)/2
Suppose -4*o - 4 = -5*w, w = -2*w. Let s be 1*(o + 0) - -1. Factor s + l + 0 + l**2.
l*(l + 1)
Let q(x) = -2*x - 8. Suppose 5*j + 3*i - 1 + 30 = 0, 4*j + 2*i = -22. Let z be q(j). Suppose z*c**3 + 2/3 + 0*c + 2/3*c**4 - 4/3*c**2 = 0. What is c?
-1, 1
Let h = -2/617 + 737/37020. Let r(c) be the third derivative of 1/15*c**3 - h*c**4 + 1/300*c**6 + 0*c + 0 + 3*c**2 - 1/150*c**5. Factor r(y).
2*(y - 1)**2*(y + 1)/5
Let n(u) be the first derivative of -2/3*u**3 + 8*u + 1/4*u**4 - 1 - 2*u**2. Factor n(t).
(t - 2)**2*(t + 2)
Suppose -5*i + 35 = -85. Let h be ((-4)/i)/(1/(-8)). Factor -2/3*v**2 + 2*v - h.
-2*(v - 2)*(v - 1)/3
Let o(y) be the third derivative of -y**8/504 - y**7/315 + y**6/90 - y**2. Factor o(j).
-2*j**3*(j - 1)*(j + 2)/3
Let p(l) be the second derivative of 49*l**5/10 + 21*l**4 + 20*l**3 + 8*l**2 + 10*l. Suppose p(d) = 0. Calculate d.
-2, -2/7
Let r be 2 + -10 + (-323)/(-38). Factor 1/2*o**4 + 0 - r*o**2 + 0*o**3 + 1/4*o - 1/4*o**5.
-o*(o - 1)**3*(o + 1)/4
Suppose b + 5*b - 18 = 0. Suppose 0 = -3*z - b + 15. Determine n so that 0*n**z - 2/3*n**5 + 4/3*n**3 - 2/3*n + 0*n**2 + 0 = 0.
-1, 0, 1
Let b(u) be the second derivative of u**7/105 + 3*u**6/50 + 4*u**5/25 + 7*u**4/30 + u**3/5 + u**2/10 + 9*u. Suppose b(d) = 0. Calculate d.
-1, -1/2
Let h = 3/143639 - -37489443/16087568. Let b = h - 19/16. Factor -16/7*k - 10/7*k**2 - b - 2/7*k**3.
-2*(k + 1)*(k + 2)**2/7
Let y = -4 + 6. Solve 2/7*l**y - 4/7*l + 0 = 0.
0, 2
Let q be (-3192)/(-468) - (2 - (-48)/(-26)). Factor 0 - 16/3*h**3 - 4/3*h**4 - q*h**2 - 8/3*h.
-4*h*(h + 1)**2*(h + 2)/3
Let v(n) be the second derivative of -n**3 - 1/4*n**4 - 3/2*n**2 + 0 + 5*n. Factor v(m).
-3*(m + 1)**2
Factor 3/2 + a - 1/2*a**2.
-(a - 3)*(a + 1)/2
Let h(n) be the second derivative of -n**4/12 - n**3 - 5*n**2/2 - 19*n. Solve h(q) = 0 for q.
-5, -1
Factor -67 + 3*p**3 + 67 + 2*p**2 - p**3.
2*p**2*(p + 1)
Let m(x) be the second derivative of x**8/840 + x**7/420 + 2*x**3/3 - 4*x. Let p(i) be the second derivative of m(i). Factor p(z).
2*z**3*(z + 1)
Let d(k) be the first derivative of k**4/36 - k**3/9 + k**2/6 - 2*k - 3. Let a(f) be the first derivative of d(f). Determine q so that a(q) = 0.
1
Suppose 5*s - 14 = 1. Let -4*v**2 + 3*v**s + 2*v**2 - v - 4*v**3 = 0. What is v?
-1, 0
Let v be (-48)/(-15)*(-15)/(-2). Solve -3*s**5 - 54*s**3 - v*s + 21*s**4 - 13*s**2 + 45*s**2 + 11*s**2 + 17*s**2 = 0.
0, 1, 2
Let j = 75 + -521/7. Determine u, given that 0 - 2/7*u**2 + 0*u + 6/7*u**3 - j*u**4 = 0.
0, 1/2, 1
Let f(n) be the first derivative of -n**6/120 + n**5/12 - n**4/3 + 2*n**3/3 - n**2 - 1. Let s(j) be the second derivative of f(j). Solve s(b) = 0.
1, 2
Let n(v) be the third derivative of v**5/20 - v**4/2 + 2*v**3 - 15*v**2. Find t, given that n(t) = 0.
2
Suppose -2*r + 3 = -3*x, -x - 16 + 5 = -4*r. Determine o, given that 1/4*o**5 + 0 + 0*o**4 + 0*o**2 - 1/2*o**r + 1/4*o = 0.
-1, 0, 1
Let o(i) = 4*i**2 + 4*i**2 - 6*i**2 + 2*i**2 + 3*i. Let v(c) = c**2 + c. Let s(j) = -2*o(j) + 7*v(j). Factor s(q).
-q*(q - 1)
Let b = 21 - 14. Suppose -3*c + 1 + b = 2*n, -n = 2. Suppose -i - 2 + c*i + 4*i**3 - 6*i**3 + 3*i**2 = 0. Calculate i.
-1, 1/2, 2
Let t be (-45)/12 + (-4)/16. Let h be t/24*3 + 1. Determine c so that 0*c + 0 + c**3 - h*c**4 - 1/2*c**2 = 0.
0, 1
Let i(q) be the second derivative of q**6/195 - 3*q**5/130 + q**4/26 - q**3/39 - 18*q. Solve i(l) = 0 for l.
0, 1
Suppose y + 11 - 31 = 0. Suppose -5*m + 0*m + y = 0. Let 18/7*a**3 - 18/7*a + 4/7 - 2*a**m + 10/7*a**2 = 0. Calculate a.
-1, 2/7, 1
Let r(k) = -k**2 - 7*k + 10. Let b be r(-6). Let o = -16 + b. Factor -1/4*m - 1/4*m**2 + o.
-m*(m + 1)/4
Let q = -2728/5 - -546. Determine r, given that 0 - q*r**2 + 1/5*r = 0.
0, 1/2
Let o be (-3 - -4)*0/1. Let b(m) be the third derivative of 0 + 1/40*m**6 + 5/24*m**4 - m**2 + o*m + 1/6*m**3 + 7/60*m**5. Let b(q) = 0. What is q?
-1, -1/3
Let b = 6 + -4. Factor 8*s + 3*s**2 + b - s + 2*s**2.
(s + 1)*(5*s + 2)
Suppose -6 = 3*v + 2*h, -v + 4*h - 4 = -16. Factor v*j**2 + 2/3*j**3 + 0*j - 1/3*j**4 + 0.
-j**3*(j - 2)/3
Let f(b) be the second derivative of 0*b**4 - 1/40*b**5 + 0 + 1/24*b**3 + 0*b**6 + 1/168*b**7 - 3*b + 0*b**2. Factor f(q).
q*(q - 1)**2*(q + 1)**2/4
Let j = -161 - -163. Factor 0*x**3 + 0 - 1/2*x**j + 1/4*x**5 + 1/2*x**4 - 1/4*x.
x*(x - 1)*(x + 1)**3/4
What is j in 2/3 + 0*j**2 - 4/3*j + 4/3*j**3 - 2/3*j**4 = 0?
-1, 1
Let k(d) be the first derivative of 2*d**3/3 + 2*d**2 + 2*d + 10. Factor k(m).
2*(m + 1)**2
Find j, given that 2/9 + 1/9*j**2 + 1/3*j = 0.
-2, -1
Let j(k) = -5*k**5 + 5*k**4 + 5*k**3. Let v(n) = 5*n**5 - 5*n**4 - 5*n**3 + n**2. Let i(q) = -4*j(q) - 5*v(q). Factor i(z).
-5*z**2*(z - 1)**2*(z + 1)
Solve 1/6*a**2 - 1/2*a**3 - 1/6*a**4 + 1/6*a**5 + 1/3*a + 0 = 0.
-1, 0, 1, 2
Let r(b) be the third derivative of -b**8/48 - 19*b**7/210 - b**6/8 - b**5/60 + b**4/12 + b**2. Factor r(d).
-d*(d + 1)**3*(7*d - 2)
Let d(n) be the first derivative of n**3/15 + n**2/10 - 2*n/5 + 31. Let d(o) = 0. Calculate o.
-2, 1
Let w(t) be the third derivative of 0*t**6 + t**2 - 1/105*t**7 - 1/24*t**4 + 1/30*t**5 + 1/336*t**8 + 0 + 0*t + 0*t**3. Factor w(x).
x*(x - 1)**3*(x + 1)
Let -6 - 2/3*j**5 + 10*j - 28/3*j**3 + 4/3*j**2 + 14/3*j**4 = 0. Calculate j.
-1, 1, 3
Let f(m) be the third derivative of -m**8/7560 - m**7/1890 - m**6/1620 - m**3/3 - 4*m**2. Let y(q) be the first derivative of f(q). Suppose y(k) = 0. What is k?
-1, 0
Let w be (-5 + (-84)/(-16))*8. Let v(b) be the first derivative of 1/15*b**6 + 0*b**3 + 4/25*b**5 + 0*b**w + 2 + 1/10*b**4 + 0*b. What is x in v(x) = 0?
-1, 0
Suppose 24 = 6*t - 2*t. Find f, given that t*f**4 - 8*f**4 + 2 - 4 + 4*f**2 = 0.
-1, 1
Suppose -14 = -2*i - 2*x, 4*i + 3*x - 8 - 16 = 0. Suppose -4/5 - 2*d**4 + 14/5*d**2 - 6/5*d + 6/5*d**i = 0. What is d?
-1, -2/5, 1
Let b(j) be the first derivative of -j**5/40 + j**4/32 + j**3/24 - j**2/16 + 9. Factor b(o).
-o*(o - 1)**2*(o + 1)/8
Factor 4*u**3 + 12*u**5 + 16*u**4 + 8 - 13*u**2 - 7*u**3 + 4*u - 11*u**2 - 13*u**3.
4*(u - 1)*(u + 1)**3*(3*u - 2)
Let v(h) be the third derivative of -h**9/181440 + h**8/60480 + h**7/7560 - h**5/30 + 3*h**2. Let m(k) be