be the first derivative of 2 + 0*h + p*h**3 + 1/7*h**2. Let t(k) = 0. What is k?
-1, 0
Let h be 35/4 + (-2)/(-8). Suppose -3*y - 3*d = -18, -5 = -5*y - d + h. Determine l, given that 0*l - 8/9*l**3 + 2/9*l**4 + 0 + 8/9*l**y = 0.
0, 2
Suppose 0*j + 3*j = 6. Let m(u) be the first derivative of 2*u**2 + j*u + 2/3*u**3 - 2. Factor m(z).
2*(z + 1)**2
Let k(y) be the second derivative of -y**5/90 - y**4/54 + y**3/27 + y**2/9 + 3*y. Factor k(m).
-2*(m - 1)*(m + 1)**2/9
Let v(k) = -30*k + 272. Let f be v(9). Find h such that 0 - 1/4*h - 1/4*h**f = 0.
-1, 0
Let w(o) be the first derivative of -o**4/4 + o**3 + o**2 - 5. Let d(u) = 2*u**3 - 7*u**2 - 4*u. Let i(r) = -6*d(r) - 15*w(r). Factor i(m).
3*m*(m - 2)*(m + 1)
Solve 14/15*o**4 - 4/15*o**3 + 0 + 4/15*o - 14/15*o**2 = 0 for o.
-1, 0, 2/7, 1
Let d(k) = -5*k**2 - 11*k - 6. Let u(a) = -70*a**2 - 155*a - 85. Let b(l) = 85*d(l) - 6*u(l). Factor b(p).
-5*p*(p + 1)
Let u(d) = 11*d**4 - 7*d**3 - 30*d**2 - 29*d. Let a(o) = -2*o**4 + o**3 + 5*o**2 + 5*o. Let y(k) = -34*a(k) - 6*u(k). Suppose y(c) = 0. Calculate c.
-2, -1, 0
Let l(n) be the second derivative of n**4/114 - 20*n**3/57 + 100*n**2/19 - 7*n. Determine b so that l(b) = 0.
10
Determine s, given that 2/5 + 57/5*s**2 - 41/5*s = 0.
1/19, 2/3
Let c(i) = -13*i + 171. Let s be c(13). Suppose 0 - 2/11*h + 2/11*h**s = 0. What is h?
0, 1
Let a be 3/12 + 15/4. Determine t so that 2*t**2 + t - t**3 + 0*t**3 + 2 - a = 0.
-1, 1, 2
Let k(b) be the first derivative of b**9/1008 + b**8/560 - 2*b**3 + 4. Let h(s) be the third derivative of k(s). Suppose h(c) = 0. Calculate c.
-1, 0
Let n(h) = -h**2 + h. Let f(z) = 6*z**2 + 0 - 4 + 0 + 6*z**3 - 8*z**3. Let g(s) = -f(s) - 6*n(s). Determine y so that g(y) = 0.
-2, 1
Let b = 142 - 139. Let k(i) be the first derivative of 0*i**b - 2 + 2/3*i - 2/15*i**5 + 1/3*i**4 - 2/3*i**2. Factor k(l).
-2*(l - 1)**3*(l + 1)/3
Let d be (-1)/2 + (-2)/(-4). Suppose d = 2*z + 3*z - 25. Find l, given that 0*l**4 + 2*l**2 - l**4 + l + 0*l**3 + l**z - 2*l**3 - 1 = 0.
-1, 1
Let f(a) be the second derivative of 0 + 0*a**3 + 0*a**2 + 1/50*a**5 + 3*a - 1/30*a**4. Factor f(v).
2*v**2*(v - 1)/5
Suppose 0*o + 0 - 2/19*o**3 - 26/19*o**2 = 0. Calculate o.
-13, 0
Let w = 94 + -89. Let c(p) be the second derivative of 0*p**2 + 0 + 1/30*p**w - 2*p + 1/18*p**4 + 0*p**3. What is y in c(y) = 0?
-1, 0
Factor 8/5*s + 2/5*s**3 + 0 + 2*s**2.
2*s*(s + 1)*(s + 4)/5
Let k = -36 - -50. Let d be 12/(-28) + 10/k. Factor 0 + d*z + 2/7*z**2.
2*z*(z + 1)/7
Let q(u) be the third derivative of -u**7/105 - u**6/30 + u**5/30 + u**4/6 - 2*u**2. Determine n, given that q(n) = 0.
-2, -1, 0, 1
Let m = -439732/1155 - -5666/15. Let a = -14/11 - m. Suppose 26/7*f**3 + 2/7*f**5 + 8/7*f + 0 + 24/7*f**2 + a*f**4 = 0. Calculate f.
-2, -1, 0
Let q(u) be the third derivative of -2/3*u**3 + 0*u**5 - 1/3780*u**7 + 0*u**6 + 0*u + 0*u**4 + 0 - u**2. Let o(b) be the first derivative of q(b). Factor o(y).
-2*y**3/9
Let y(k) be the second derivative of -k**5/30 - k**4/9 - k**3/9 - 5*k. Find h such that y(h) = 0.
-1, 0
Let k = -558/13 + 4764/91. Solve -32/7*w**4 - 80/7*w**3 - 20/7*w - k*w**2 - 2/7 = 0.
-1, -1/4
Let j(c) = c**2 - c - 6. Let t be j(8). Let a be ((-2)/5)/((-35)/t). Find u, given that -2/7 - 2/7*u**2 - a*u = 0.
-1
Let u(i) = i**2 + i + 1. Let q(m) = 12*m - 24. Let f(z) = q(z) + 4*u(z). Suppose f(r) = 0. Calculate r.
-5, 1
Let u(q) be the second derivative of -q**5/50 - q**4/15 + q**3/15 + 2*q**2/5 - 47*q. Solve u(s) = 0.
-2, -1, 1
Let u be -3 - (-1 - 1*(1 + 1)). Factor u + 2*j**3 - 1/2*j + 3/2*j**2.
j*(j + 1)*(4*j - 1)/2
Let j = 20 - 14. Let d(q) = -3*q**3 + 3*q**2 + 2*q - 2. Let n(l) = -16*l**3 + 16*l**2 + 10*l - 11. Let f(h) = j*n(h) - 33*d(h). Factor f(x).
3*x*(x - 2)*(x + 1)
Let v(i) be the first derivative of 9*i**4/16 + 7*i**3/2 + 15*i**2/2 + 6*i + 63. Factor v(n).
3*(n + 2)**2*(3*n + 2)/4
Factor -1/3*f**2 + 1/3 - 1/3*f**3 + 1/3*f.
-(f - 1)*(f + 1)**2/3
Suppose 2*i = i. Let v(b) be the first derivative of -2 + 1/2*b**4 + 0*b**2 + 0*b + i*b**3. Determine r so that v(r) = 0.
0
Let r(u) be the third derivative of 0 - 1/48*u**4 + 1/240*u**5 - u**2 + 0*u**3 + 0*u. Factor r(v).
v*(v - 2)/4
Let z be 0/1 - (-6 - -4). Let v = z + 0. Factor 2/7*j - 2/7*j**v + 0.
-2*j*(j - 1)/7
Let j = -4/5 - -13/10. Let k(o) = o + 9. Let r be k(-5). Suppose -5/2*d**3 - 3/2*d**2 - d**r + j*d + 1/2 = 0. Calculate d.
-1, 1/2
Let b(x) = -2*x + 19. Let c be b(8). Let f(r) be the second derivative of -1/24*r**c + 0*r**2 + 1/80*r**5 + 1/120*r**6 - 2*r - 1/48*r**4 + 0. Factor f(o).
o*(o - 1)*(o + 1)**2/4
Suppose -5*t + 20 = v, v + 2*t - 9 + 1 = 0. Let n = 2/171 + 4/19. Factor 0*m + n*m**5 + 0*m**2 + 2/9*m**3 + v - 4/9*m**4.
2*m**3*(m - 1)**2/9
Let k(o) be the first derivative of -27/5*o + 9/5*o**2 + 6 - 1/5*o**3. Factor k(t).
-3*(t - 3)**2/5
Suppose 3*w = 5*z - 63, -2*w + 7 = z - 3. Find h such that 8 - 5 + 1 - 16*h**2 - z*h = 0.
-1, 1/4
Let b be 2 + 0 - (-3)/3. Factor 12*d**4 - 14*d**2 + 25*d**3 + 13*d**b + 8*d**5 - 38*d**4 + 2*d - 8*d**3.
2*d*(d - 1)**3*(4*d - 1)
Factor 1/5 - 1/10*s**2 + 1/10*s.
-(s - 2)*(s + 1)/10
Let b(f) be the first derivative of -2*f**5/5 + f**4 - 2*f**3/3 - 6. Factor b(k).
-2*k**2*(k - 1)**2
Suppose 0*w - 4/17*w**4 + 2/17*w**3 + 0 - 2/17*w**5 + 4/17*w**2 = 0. What is w?
-2, -1, 0, 1
Let s be (-1 + 5)/80 - 2/(-10). Determine t, given that -1/4*t - 1/2 + s*t**3 + 1/2*t**2 = 0.
-2, -1, 1
Let 1/2*h - 1 + 1/2*h**2 = 0. What is h?
-2, 1
Let a(m) = m**2 - 9*m - 7. Let c be (-3)/2*(-80)/12. Let u be a(c). Suppose 2*x**u + 0*x + 0*x**4 + 0 - 2/3*x**5 + 4/3*x**2 = 0. Calculate x.
-1, 0, 2
Let f(j) = -7*j**3 - 8*j**2 + 7*j + 2. Let t(r) = -20*r**3 - 23*r**2 + 20*r + 6. Let a(z) = -17*f(z) + 6*t(z). Determine c so that a(c) = 0.
-2, -1, 1
Let a(v) be the first derivative of -28*v**2 + 8*v + 98/3*v**3 + 4. Factor a(r).
2*(7*r - 2)**2
Let f(g) be the first derivative of 6 - 4/7*g + 5/7*g**2 + 1/14*g**4 - 8/21*g**3. Solve f(t) = 0.
1, 2
Let f be ((-2)/1)/12 + (-6)/(-9). Find v such that 0*v + 0 + v**4 + 0*v**2 + 1/2*v**5 + f*v**3 = 0.
-1, 0
Let h(t) be the third derivative of t**10/10080 + t**9/5040 + t**4/8 + 4*t**2. Let l(o) be the second derivative of h(o). Factor l(b).
3*b**4*(b + 1)
Let m = -2 - -5. Let l be m + (-2 - 0) + 1. Factor 0*t**4 + 0 + 0*t + 0*t**l + 0*t**3 + 1/2*t**5.
t**5/2
Solve 2/11*f**2 + 4/11*f - 6/11 = 0 for f.
-3, 1
Let g(i) be the first derivative of -i**6/21 - 6*i**5/35 - 3*i**4/14 - 2*i**3/21 + 8. Let g(o) = 0. What is o?
-1, 0
Let t(d) = 2*d**3 + 2*d**2 - 3*d. Let x(q) = -q**3 - q**2 + q. Suppose 5*i - b - 30 = 2*b, 13 = i - 2*b. Let o(z) = i*t(z) + 3*x(z). Factor o(w).
3*w*(w - 1)*(w + 2)
Let v be 18695/(-10)*(-4)/9. Let t = -830 + v. Solve -2/9 - 8/9*b + t*b**3 + 2/3*b**4 - 4/9*b**2 = 0 for b.
-1, -1/3, 1
Let c be (4/(-12)*0)/1. Let k(x) be the second derivative of 11/12*x**4 - x - 4/5*x**5 - 1/3*x**3 + 7/30*x**6 + 0 + c*x**2. Suppose k(g) = 0. What is g?
0, 2/7, 1
Let 8/7 - 4/7*i**3 - 8/7*i**2 + 4/7*i = 0. What is i?
-2, -1, 1
Let j(z) be the second derivative of -z**6/15 - z**5/10 + 10*z. Factor j(n).
-2*n**3*(n + 1)
Factor 14*t**2 + 17*t + t**3 + 8 + 3*t**3 + 2*t**2 + 3*t.
4*(t + 1)**2*(t + 2)
Factor 5/4*f**2 + 5/4 - 5/2*f.
5*(f - 1)**2/4
Let o(p) be the second derivative of 0 + 3*p + 0*p**2 + 1/20*p**5 + 1/6*p**3 - 1/6*p**4. Factor o(z).
z*(z - 1)**2
Let j(l) = 2*l**2 - 2*l - 2. Let r be j(2). Suppose 0 = -4*h + 2*y + r, 3*h = -h - 2*y + 6. Suppose -i**2 + i + h + i - 2 = 0. Calculate i.
1
Let a be (14/7)/(0 - -1). Factor 0*w**a - w**2 + 4*w**4 + 2*w - 2*w**2 - 3*w**4.
w*(w - 1)**2*(w + 2)
Determine z so that 28/3*z + 2/3 + 25/2*z**2 = 0.
-2/3, -2/25
Suppose -200*g**3 + 396*g**3 - 15*g**2 - 202*g**3 + 9*g = 0. What is g?
-3, 0, 1/2
Let q(c) be the third derivative of c**6/480 + c**5/40 + c**4/8 + c**3/3 + 22*c**2. Factor q(i).
(i + 2)**3/4
Let c(q) = 0*q + q**2 + 6 - 2*q**2 + 3*q + 0*q**2. Let x be c(4). Factor -6/5*o**4 + 2*o**3 - 2/5*o**x + 0 - 2/5*o.
-2*o*(o - 1)**2*(3*o + 1)/5
Factor 0*s + 0 + 4/7*s**3 - 8/7*s**2.
4*s**2*(s - 2)/7
Let m(q) = -q**3 - 5*q**2 - 5*q - 2. Suppose 3*i + 9 = -x, i + 2*x - 8 = -2*x. Let o be m(i). Factor r + 0*r**o + 0*r + r**2.
r*(r + 1)
Let y be 12/18 + 32/(-3). Let c be (-4)/y - 16/(-10). Solve 3/4*r**c - 3/4*r - 3/4 + 3/4*r**3 = 0 