is q in b(q) = 0?
0, 3
Let z = 43451/7 + -6193. Factor -z - 4/7*d**2 + 40/7*d.
-4*(d - 5)**2/7
Let h(y) be the third derivative of 23*y**6/90 - 7*y**5/15 - y**4/9 - 259*y**2. Find i, given that h(i) = 0.
-2/23, 0, 1
Let x be (-14 + (6 - 1))/(-3). Suppose 1 = x*f - 5. Let 0*n**3 + 8/7*n**f + 0 - 4/7*n**5 + 4/7*n - 8/7*n**4 = 0. What is n?
-1, 0, 1
Let b(v) be the third derivative of 0*v + 1/2*v**5 + 0 - 16*v**2 + 27/2*v**3 - 45/8*v**4 + 1/3024*v**8 + 19/108*v**6 + 5/378*v**7. Solve b(f) = 0.
-9, 1
Determine i so that 14*i**2 + 3 - 3 + 58*i - 2*i**4 - 46*i = 0.
-2, -1, 0, 3
Let k be (9 - (-174)/(-18))*63/(-8). Find i, given that -k*i**2 + 21/2*i + 3/4*i**3 - 6 = 0.
1, 2, 4
Let 4 + 18*m - 5*m**3 + 22*m + 26 - 5*m = 0. What is m?
-2, -1, 3
Let w(i) be the third derivative of 2*i**7/735 - i**5/35 - i**4/21 - 22*i**2 + 10*i. Factor w(t).
4*t*(t - 2)*(t + 1)**2/7
Factor -2/3*o - 1/3*o**3 + 0 + o**2.
-o*(o - 2)*(o - 1)/3
Let n(y) be the third derivative of 1/1785*y**7 + 7/510*y**6 + 0*y + 0*y**4 + 0 + 0*y**3 - 26*y**2 + 49/510*y**5. Factor n(r).
2*r**2*(r + 7)**2/17
Factor -28*f - 2/5*f**2 - 490.
-2*(f + 35)**2/5
Let j(d) be the second derivative of 2/21*d**4 + 11*d + 1/21*d**3 + 1/147*d**7 + 0 + 4/105*d**6 + 0*d**2 + 3/35*d**5. Factor j(f).
2*f*(f + 1)**4/7
Let j be (-3 - (-9)/6)*2/3. Let n be (-16)/112*(j + -1). Factor 2/7*v**2 - 10/7*v + n*v**3 + 6/7.
2*(v - 1)**2*(v + 3)/7
Let b(s) be the second derivative of -3*s**5/4 - 65*s**4/12 - 40*s**3/3 - 10*s**2 - 53*s. Solve b(o) = 0 for o.
-2, -1/3
Let g be 33/6*(-8)/(-22). Let s be -2 + g/3 + (-253)/(-66). Suppose 5/2*i + 1 - i**2 - s*i**3 = 0. Calculate i.
-1, -2/5, 1
Let i(m) be the third derivative of -m**5/300 - m**4/120 + 39*m**2 + 1. Factor i(c).
-c*(c + 1)/5
Factor -16*o - 6*o**2 - 2*o**2 + 6*o**2.
-2*o*(o + 8)
Let x(l) be the first derivative of -l**4/4 - 8*l**3/3 - 9*l**2/2 + 18*l - 502. Find f, given that x(f) = 0.
-6, -3, 1
Let b = 36/139 + -45844/973. Let u = 47 + b. Solve -3/7*g**4 - u*g - 4/7*g**5 + 5/7*g**3 + 3/7*g**2 + 0 = 0.
-1, 0, 1/4, 1
Let c = 34817/36 + -967. Let q(n) be the third derivative of -n**2 - 1/120*n**5 + 7/72*n**6 + 0*n + 7/180*n**7 + 0 + 1/9*n**3 - c*n**4. Factor q(j).
(j + 1)**2*(7*j - 2)**2/6
Let k(y) be the first derivative of -5*y**4/2 + 4*y**3/3 + 3*y**2 - 20. Let w(c) = -9*c**3 + 4*c**2 + 5*c. Let f(u) = 5*k(u) - 6*w(u). Factor f(j).
4*j**2*(j - 1)
Let t(a) be the third derivative of 9*a**2 - 1/36*a**4 + 0 - 2/9*a**3 - 1/720*a**5 + 0*a. Factor t(f).
-(f + 4)**2/12
Let w(k) be the second derivative of -k**6/40 - 3*k**5/80 + 9*k**4/8 + 13*k**3/2 + 15*k**2 - 24*k. Factor w(o).
-3*(o - 5)*(o + 2)**3/4
Let j(n) be the second derivative of n**4/2 + 13*n**3/2 + 9*n**2 + 24*n - 3. Determine f, given that j(f) = 0.
-6, -1/2
Let k(y) be the first derivative of 32/15*y**3 + 1/5*y**2 + 9 - 3/2*y**4 - 4/5*y. Determine x, given that k(x) = 0.
-1/3, 2/5, 1
Let c = -11257 + 78807/7. Factor -10/7*x**2 + c*x - 6/7*x**3 + 8/7.
-2*(x - 1)*(x + 2)*(3*x + 2)/7
Let v(r) be the second derivative of r**4/12 + 2*r**3/3 - r**2/2 + 3*r. Let z be v(-5). Solve 27 - 2*i**3 - 18*i**2 - 6*i**3 - i**z + 0*i**3 = 0 for i.
-3, 1
Let u(w) = 4*w**3 + 2*w. Let v(t) = -2*t**2 - 7*t. Let h be v(-5). Let c(j) = -j**3 - j. Let l(b) = h*c(b) - 5*u(b). Factor l(k).
-5*k*(k - 1)*(k + 1)
Let t(h) be the third derivative of -h**9/60480 - h**8/20160 + h**5/60 + 9*h**2. Let a(s) be the third derivative of t(s). Factor a(k).
-k**2*(k + 1)
Let i(c) be the first derivative of -4*c**3/27 + 7*c**2/9 - 4*c/3 - 505. Factor i(d).
-2*(d - 2)*(2*d - 3)/9
Let u(o) = -3*o**2 + 18*o - 20. Let v be u(2). Solve 0 + 2/5*f**v - 8/5*f**2 - 2/5*f**3 + 8/5*f = 0.
-2, 0, 1, 2
Let f(x) be the second derivative of 20*x - x**2 - 1/3*x**3 + 1/6*x**4 + 1/10*x**5 + 0. Factor f(i).
2*(i - 1)*(i + 1)**2
Factor 4/3*i + 0 + 2*i**2 - 2/3*i**4 + 0*i**3.
-2*i*(i - 2)*(i + 1)**2/3
Let c(v) = v + 8. Let h be c(-5). Factor -53*m**2 - 36 - 15*m**h - 54 - 47*m**2 - 195*m.
-5*(m + 3)**2*(3*m + 2)
Suppose -2*w = -4*u + 42, u = 7*w - 2*w + 33. Find o such that -5 + 25*o**3 + 21*o + 10*o**4 + 15*o**2 - u*o - 18*o = 0.
-1, 1/2
Let a = -5084 - -20369/4. Suppose -a*s**2 - 3 - 57/4*s + 3*s**3 = 0. What is s?
-1, -1/4, 4
Let q(x) be the first derivative of -16*x**5/15 - 7*x**4/3 + 8*x**3/3 + 14*x**2/3 - 8*x/3 + 157. Solve q(d) = 0 for d.
-2, -1, 1/4, 1
Suppose 28 = -5*s + 8. Let v(n) = -4*n**2 + 2*n - 3. Let a(u) = 5*u**2 - 2*u + 4. Let y(h) = s*v(h) - 3*a(h). Solve y(w) = 0 for w.
0, 2
Let i be (-3)/(12/8)*-2. Suppose 2*w = -0*w + o + 1, -i*w = -o - 7. Suppose -6*g**w + 5*g**3 + 4*g**3 + 63*g**4 - 27*g**2 + 27*g**5 + 6*g = 0. What is g?
-2, -1, 0, 1/3
Let q(d) be the second derivative of d**7/2520 + d**6/45 + 8*d**5/15 + 2*d**4/3 + 23*d. Let p(s) be the third derivative of q(s). Factor p(l).
(l + 8)**2
Let h(v) = v**2 + 8*v - 710. Let w be h(23). Determine p so that 0*p**2 - 2/7*p**5 + 0*p**4 + 0 + 10/7*p**w - 8/7*p = 0.
-2, -1, 0, 1, 2
Let w = 1204681/45 + -26772. Let v = w - -19/9. Find u, given that -8/5*u - v*u**3 + 0 + 12/5*u**2 = 0.
0, 1, 2
Let u(p) be the second derivative of 22/15*p**6 + 19/5*p**5 + 5/21*p**7 + 13/3*p**3 + 0 + 16/3*p**4 + 2*p**2 - 15*p. Suppose u(a) = 0. What is a?
-1, -2/5
Let f(z) be the first derivative of 3*z**4/4 + 6*z**3 + 15*z**2/2 + 23. Determine m so that f(m) = 0.
-5, -1, 0
Factor 0*q - 104/7*q**3 - 60/7*q**4 + 0 - 4/7*q**5 + 0*q**2.
-4*q**3*(q + 2)*(q + 13)/7
Let w(k) be the first derivative of 2*k**5/85 + 19*k**4/34 + 84*k**3/17 + 324*k**2/17 + 432*k/17 - 59. Factor w(n).
2*(n + 1)*(n + 6)**3/17
Suppose -15*m - 34 = -17*m. Let h = -14 + m. Factor 2*i**3 + i + i - 5*i + i**h.
3*i*(i - 1)*(i + 1)
Factor -26*d**2 + 18*d + 8 + 11*d**2 - 4*d - 4*d + 17*d**2.
2*(d + 1)*(d + 4)
Let p be 230/4 + (9/(-6))/3. Let g = p + -54. Factor -k**2 - 4*k**4 - 3/2*k**5 + 0*k - 7/2*k**g + 0.
-k**2*(k + 1)**2*(3*k + 2)/2
Suppose -15 = -4*y - 3. Suppose -m - 2 = -2*l + 7, 3*l + 2*m - y = 0. Find d, given that -7*d**4 + 4*d**4 + 2*d**3 + 3*d**2 - 3*d + d**l = 0.
-1, 0, 1
Let q(z) = -2*z**4 + 14*z**2 - 6*z - 6. Let y(l) = -l**4 - 2*l**3 + 15*l**2 - 7*l - 5. Let f(b) = 3*q(b) - 2*y(b). Factor f(h).
-4*(h - 2)*(h - 1)*(h + 1)**2
Let v be 7/182*13*4. Factor 0 + 0*t - 1/5*t**v.
-t**2/5
Let c(v) be the first derivative of -1/20*v**4 + 13 + 1/10*v**2 + 0*v - 1/15*v**3 + 1/25*v**5. Factor c(n).
n*(n - 1)**2*(n + 1)/5
Suppose -2/13*k**2 - 200/13 + 40/13*k = 0. What is k?
10
Let r be ((-220)/(-8) - -3)*(-6)/(-9). Let f = r + -293/15. Factor 0 + 8/5*k**4 + f*k**2 - 18/5*k**3 + 0*k.
2*k**2*(k - 2)*(4*k - 1)/5
Let a = 520 - 1558/3. Solve 0 - 2/3*k**2 + a*k = 0 for k.
0, 1
Let i be (44/(-16) - -3)*8/8. Let s(u) be the first derivative of 3/8*u**4 + 0*u - 3/5*u**5 + i*u**6 + 2 + 0*u**3 + 0*u**2. Factor s(r).
3*r**3*(r - 1)**2/2
Let x(q) be the third derivative of q**8/448 - q**7/20 + 7*q**6/80 + 59*q**5/20 + 369*q**4/32 + 81*q**3/4 + 536*q**2. Suppose x(n) = 0. Calculate n.
-2, -1, 9
Let o = -10 - -12. Factor 3*c**o + c**3 + 2*c + 40 + 36 - 76.
c*(c + 1)*(c + 2)
Let u be (-4 + (-40)/(-5) - 1) + -1. Let j(z) be the third derivative of 0*z + 1/60*z**5 + z**u + 0*z**4 + 0*z**3 + 0 - 1/80*z**6 + 1/420*z**7. Factor j(a).
a**2*(a - 2)*(a - 1)/2
Let q(w) = -6*w - 2. Let x be q(1). Let l = x + 19/2. Factor 0 + 0*o + l*o**3 + 0*o**2 - 3/4*o**4 - 3/4*o**5.
-3*o**3*(o - 1)*(o + 2)/4
Factor 63 - 34 + 11*g**2 + 42*g - 37.
(g + 4)*(11*g - 2)
Let l(t) be the first derivative of -1 + 1/35*t**5 - 3/14*t**4 + 0*t + 0*t**2 - 1/3*t**3. Let l(c) = 0. Calculate c.
-1, 0, 7
Let g = 13 + -9. Determine k, given that g*k + 6*k**2 + k**2 - 3*k**2 - 8 = 0.
-2, 1
Let q(y) be the second derivative of -y**7/21 + 2*y**6/15 - y**5/10 - 7*y - 2. Factor q(t).
-2*t**3*(t - 1)**2
Let o(m) = 139*m + 2644. Let g be o(-19). Factor 0*r - 12/5*r**2 + 4/5*r**g + 16/5.
4*(r - 2)**2*(r + 1)/5
Let k be (-2 - (-8)/3)*15. Let s = 8 + -5. Factor -w + 1 - k*w + 7 + 2*w**2 + s*w.
2*(w - 2)**2
Suppose 0 = -4*x - 3*i + 5, 0 = -3*x + i + 4 + 3. Let j = 5 - x. Factor -3*a**3 - 2*a**2 - 3*a**4 + j*a**2 - 3*a**5 + 2*a**2 + 6*a**5.
3*a**2*(a - 1)**2*(a + 1)
Let c(n) be the third derivative of -1/135*n**5 + 1/540*n**6 + 2/27*n**3 - 7*n**2 + 0 - 1/108*n**4 + 0*n. Factor c(s).
2*(s - 2)*(s - 1)*(s + 1)/9
Let d(m) be t