the first derivative of u(y). Let a(r) = 0. What is r?
-1
Let d be 2 + -2 + 4 - (-528)/(-132). Determine a so that -27/4*a**2 + 3/2*a + 21/4*a**3 + d = 0.
0, 2/7, 1
Let y(h) be the first derivative of 7*h**3/9 + 3*h**2/2 + 2*h/3 - 17. Factor y(n).
(n + 1)*(7*n + 2)/3
Let v(d) be the second derivative of d**6/90 - d**4/6 + 5*d**3/3 + 10*d. Let l(k) be the second derivative of v(k). Find x, given that l(x) = 0.
-1, 1
Let f(h) be the second derivative of h**6/60 + h**5/20 - h**3/6 - h**2/4 + 3*h. Factor f(n).
(n - 1)*(n + 1)**3/2
Let p = 42 - 47. Let y(u) = -u**3 - 5 - 4*u**3 + 4*u**3 - 5*u**2. Let z(r) = -r**3 - 4*r**2 - 4. Let h(t) = p*z(t) + 4*y(t). Find v such that h(v) = 0.
0
Let q(b) = 11*b**3 - b**2 + 5. Let n(p) = 6*p**3 - 18 + 2*p + 21 - p**2 - 2*p. Let x(o) = 7*n(o) - 4*q(o). Factor x(c).
-(c + 1)**2*(2*c - 1)
Let y = 51 + -49. Determine q so that 0 - 4/3*q + 10*q**4 - 52/3*q**3 - 10*q**y + 56/3*q**5 = 0.
-1, -2/7, -1/4, 0, 1
Let c(g) be the third derivative of -g**5/300 + g**4/40 + 12*g**2. Factor c(b).
-b*(b - 3)/5
Let s(c) = -c**3 + 3*c**2 + 5*c. Suppose 20 = -y + 6*y. Let h be s(y). What is i in 0*i**3 + 0 + 0*i - 1/4*i**h + 1/4*i**2 = 0?
-1, 0, 1
Let i = 4 - 1. Solve -2*o**i + o - 4*o**2 - o - 2*o = 0 for o.
-1, 0
Determine l, given that -10/3*l**3 + 6*l**4 - 4/3*l + 0 + 14/3*l**5 - 6*l**2 = 0.
-1, -2/7, 0, 1
Factor -1/4*w**3 + 3/2*w**2 - 3*w + 2.
-(w - 2)**3/4
Let d = 4 + -5. Let v(g) = -g**4 - 1. Let o(r) = -r**5 - 4*r**4 + r**3 - r**2 - 5. Let m(h) = d*o(h) + 5*v(h). Factor m(u).
u**2*(u - 1)**2*(u + 1)
Let r = 16 - 11. Factor -6*z**3 - 2*z**4 + z**5 - 3*z**r - 4*z**4 - 2*z**2.
-2*z**2*(z + 1)**3
Let g(t) = t**2 + 2 + 0 + 11*t + 0*t**2. Let w be g(-11). Suppose -n**4 - 1/3*n**5 + n + 1/3 - 2/3*n**3 + 2/3*n**w = 0. What is n?
-1, 1
Let m = 5 + -9. Let a be 6/(((-18)/m)/3). Suppose -4*s**a - 19*s**2 + 13*s**3 + 11*s + s**4 + 1 - 3 = 0. What is s?
1/3, 1, 2
Let r = 560/2959 - 2/269. Factor r*b**2 + 0*b - 2/11.
2*(b - 1)*(b + 1)/11
Let z(u) be the first derivative of -49*u**4/5 - 140*u**3/3 - 176*u**2/5 - 48*u/5 - 3. Factor z(w).
-4*(w + 3)*(7*w + 2)**2/5
Factor 9*h + 6*h**2 + 3*h**3 - h**4 + 12*h**2 - 5*h - 11 - 13.
-(h - 6)*(h - 1)*(h + 2)**2
Let l be (7/21)/((-12)/(-18)). Find i such that 1/2*i + 1/2*i**2 - 1/2*i**3 + 0 - l*i**4 = 0.
-1, 0, 1
Let m be 373/4 - (-4)/(-16). Let y = m + -1021/11. Factor 4/11 - y*p**2 + 2/11*p.
-2*(p - 2)*(p + 1)/11
Let j(l) = l**3 - 9*l**2 - 10*l + 2. Let x be j(10). Suppose x*r = r + 2. Find u, given that 1/4*u**4 + 0 + 0*u**r - 1/4*u**3 + 0*u = 0.
0, 1
Let h(n) be the first derivative of n**6/18 - 4*n**5/15 + n**4/3 + 2*n**3/9 - 5*n**2/6 + 2*n/3 - 56. Let h(c) = 0. Calculate c.
-1, 1, 2
Let v be (7 - 5)/(1/3). Let c be 40/6*v/30. Factor 2/3*r**2 + 0*r + 2/3*r**4 + c*r**3 + 0.
2*r**2*(r + 1)**2/3
Let v(r) be the third derivative of 1/360*r**6 - 1/1008*r**8 + 0*r**4 - 3*r**2 + 0 - 7/180*r**5 + 1/210*r**7 + 2/9*r**3 + 0*r. Solve v(k) = 0 for k.
-1, 1, 2
Let t be (3 - (-2)/(6/(-9)))/2. Let o(a) be the first derivative of -2/3*a**3 - 5/4*a**4 - 3 + t*a + 0*a**2. Find b, given that o(b) = 0.
-2/5, 0
Let v(m) be the third derivative of -m**9/52920 - m**8/23520 + m**7/8820 + m**6/2520 - m**4/12 + m**2. Let u(q) be the second derivative of v(q). Factor u(i).
-2*i*(i - 1)*(i + 1)**2/7
Let f = 194/117 - 56/39. Solve 2/9*z**2 - 2/9*z**4 + 0 + 2/3*z**3 - 4/9*z - f*z**5 = 0 for z.
-2, -1, 0, 1
Factor 10*j**4 + 5*j**5 - 5*j - 10*j**2 - 207 + 207.
5*j*(j - 1)*(j + 1)**3
Let g(z) = -z**3 - 5*z**2 - 6*z - 5. Let l be g(-4). Suppose 0*v + 1 + 2*v**4 - v**3 + 2*v + 2*v**4 - 3*v**2 - 3*v**l = 0. Calculate v.
-1/2, 1
Let 3/5*p - 6/5*p**2 + 3/5*p**3 + 0 = 0. Calculate p.
0, 1
Let g(v) be the second derivative of 3*v + 0 + 1/24*v**3 + 1/48*v**4 - 1/8*v**2 - 1/80*v**5. Factor g(t).
-(t - 1)**2*(t + 1)/4
Let n(u) be the first derivative of -u**4 + 4*u**3 + 2*u**2 - 12*u - 10. Factor n(s).
-4*(s - 3)*(s - 1)*(s + 1)
Let b(h) be the third derivative of -h**5/270 - h**4/108 + 2*h**3/9 - 14*h**2. What is n in b(n) = 0?
-3, 2
Suppose 6*z - 3*z = -9. Let d = z + 4. Factor 4*s + 2*s**3 + 2*s**4 - d - 6*s**3 - 1.
2*(s - 1)**3*(s + 1)
Let f be (5/10)/((-1)/(-6)). Factor 3*m**5 - 17*m**f + 14*m**3 + 0*m**5.
3*m**3*(m - 1)*(m + 1)
Factor 0 - 2/3*g + 4/3*g**2.
2*g*(2*g - 1)/3
Let k = 261/2 - 130. Determine i so that -5/4*i**3 + 0 - k*i + 7/4*i**2 = 0.
0, 2/5, 1
Suppose -y = -4*t + 2*y + 23, -2*t + 3*y = -19. Suppose -3*h + t*h = 0. What is c in 0 - 2/3*c**2 - 7/3*c**5 + h*c + 7/3*c**3 + 2/3*c**4 = 0?
-1, 0, 2/7, 1
Let s(l) be the third derivative of l**8/84 - 8*l**7/105 + 2*l**6/15 + 2*l**5/15 - 5*l**4/6 + 4*l**3/3 + 5*l**2. Suppose s(b) = 0. Calculate b.
-1, 1, 2
Let t(f) be the first derivative of 0*f**2 + f - 1/10*f**5 + 2 + 0*f**3 - 1/3*f**4. Let p(z) be the first derivative of t(z). Factor p(l).
-2*l**2*(l + 2)
Determine b, given that -2/19*b**4 - 2/19*b**2 - 4/19*b**3 + 0*b + 0 = 0.
-1, 0
Factor j + 4*j**5 - 21*j - 8*j**2 + 16*j**3 + 16*j**4 - 22 + 14.
4*(j - 1)*(j + 1)**3*(j + 2)
Let y(k) be the second derivative of k**4/18 - 8*k**3/9 + 16*k**2/3 - 25*k. Find n such that y(n) = 0.
4
Let m(a) be the third derivative of -a**6/360 - a**5/180 + a**4/72 + a**3/18 + 6*a**2. Suppose m(l) = 0. Calculate l.
-1, 1
Let r be 0*3/(-6)*1. Let v(t) be the first derivative of r*t + 2/9*t**3 - 1/3*t**2 - 1. Factor v(d).
2*d*(d - 1)/3
Find n, given that 1/5*n - 1/5*n**2 + 6/5 = 0.
-2, 3
Factor 3/4*x**3 + 3/2*x + 3/2 - 21/8*x**2.
3*(x - 2)**2*(2*x + 1)/8
Solve 5/9*f**3 - 2/9 + 2/9*f**2 - 5/9*f = 0 for f.
-1, -2/5, 1
Suppose w + 3*w = 16. Let i(y) be the first derivative of -2 - 2/7*y**w - 2/7*y**3 + 1/7*y**2 + 0*y. Factor i(t).
-2*t*(t + 1)*(4*t - 1)/7
Let h(b) be the first derivative of -2 - 3/5*b**2 + 2/15*b**3 + 4/5*b. Factor h(o).
2*(o - 2)*(o - 1)/5
Let v = 76 - 378/5. Factor -8/5*l**5 + 0*l**2 + 0 - v*l**3 + 0*l - 2*l**4.
-2*l**3*(l + 1)*(4*l + 1)/5
Factor 16*w**3 + 0*w**3 + 33*w**2 - 3*w**3 + 8*w**3 + 15*w + 3*w**4.
3*w*(w + 1)**2*(w + 5)
Let y be (387/(-21))/((-6)/(-21)). Let u = -63 - y. Factor 3/2*i**2 + 0*i - u.
3*(i - 1)*(i + 1)/2
Let s(v) be the second derivative of -v**5/150 + v**4/45 + v**3/15 + v. Suppose s(q) = 0. Calculate q.
-1, 0, 3
Find v, given that 0*v**2 - v**2 - v**2 + 5*v**2 + 3*v = 0.
-1, 0
Let k(d) be the second derivative of d**6/6 + d**5/2 - 5*d**4/12 - 5*d**3/3 - 4*d. Suppose k(u) = 0. Calculate u.
-2, -1, 0, 1
Let j(v) be the third derivative of v**7/1260 - 5*v**3/6 + 7*v**2. Let x(o) be the first derivative of j(o). Determine n so that x(n) = 0.
0
What is k in -48/5*k - 27/5*k**3 + 72/5*k**2 + 0 + 3/5*k**4 = 0?
0, 1, 4
Suppose 0*y - 1 = y. Let x be (5 + -1)/2 - y. Factor 1/4 + 0*p + 0*p**x + 1/4*p**4 - 1/2*p**2.
(p - 1)**2*(p + 1)**2/4
Let d(p) be the second derivative of 2/5*p**6 + 3/4*p**5 + 3*p + 1/2*p**4 + 0 + 1/14*p**7 + 0*p**3 + 0*p**2. Factor d(f).
3*f**2*(f + 1)**2*(f + 2)
Let p be (-3)/48*4/(-12). Let k(c) be the second derivative of 3*c + 1/8*c**2 + 1/12*c**3 + p*c**4 + 0. Factor k(h).
(h + 1)**2/4
Let h = -25 - -28. Let u(i) be the first derivative of 1/4*i - 1/8*i**2 - 1 - 1/6*i**h. Let u(c) = 0. What is c?
-1, 1/2
Let m(t) be the second derivative of -t**7/98 - t**6/35 - 3*t**5/140 + 4*t. Suppose m(z) = 0. What is z?
-1, 0
Let x(c) be the third derivative of -1/660*c**6 + 5/132*c**4 + 0 - 1/110*c**5 - 2/33*c**3 + 0*c + 7*c**2 + 1/1155*c**7. Find p, given that x(p) = 0.
-2, 1
Factor 4*k - 2 - 7*k + 0*k - 2*k + 7*k**2.
(k - 1)*(7*k + 2)
Let v = 37/160 - 1/32. Let z = -8 + 12. Let -1/5*i**z + 0 + 0*i**3 + 0*i + v*i**2 = 0. Calculate i.
-1, 0, 1
Let q(n) = n + 1. Let r be q(-2). Let l be r/(-3) + 10/6. Factor l*y**2 + 2*y + y**2 - y**2.
2*y*(y + 1)
Let o(l) be the third derivative of 2*l**7/525 + 11*l**2. What is j in o(j) = 0?
0
Let v(d) = -d - 1. Let x be v(-5). Suppose x*u = 3*u + 8. Find q such that -8/3 - 10/3*q**3 + u*q - 2*q**2 = 0.
-2, 2/5, 1
Let p = 15 + -13. Let g(w) be the first derivative of -1/4*w**p - 2 - 1/12*w**3 - 1/4*w. Determine n so that g(n) = 0.
-1
Determine z, given that -9/4*z - 1/4*z**5 + 1/2 + 4*z**2 + 3/2*z**4 - 7/2*z**3 = 0.
1, 2
Let b(u) be the second derivative of -u**6/60 + u**4/12 - 3*u**2/2 - u. Let k(q) be the first derivative of b(q). Factor k(l).
-2*l*(l - 1)*(l + 1