rst derivative of -1/5*b**5 + 2/9*b**3 + 22 - 1/6*b**4 + 1/3*b - 1/18*b**6 + 1/2*b**2. Suppose t(a) = 0. What is a?
-1, 1
Let m(r) be the first derivative of 3*r**4/16 - 9*r**3/8 - 9*r**2/8 + 15*r/8 + 112. What is h in m(h) = 0?
-1, 1/2, 5
Let s be (-6 - 26/(-2)) + (-309)/45. Determine g, given that s - 2/5*g**4 + 4/15*g**3 - 2/5*g + 4/15*g**2 + 2/15*g**5 = 0.
-1, 1
Factor 4/7*i**2 + 400/7 + 80/7*i.
4*(i + 10)**2/7
Let d(o) = 16*o**4 + 35*o**3 + 76*o**2 - 26*o - 68. Let u(c) = 3*c**4 + 7*c**3 + 15*c**2 - 5*c - 14. Let g(y) = 6*d(y) - 33*u(y). Factor g(q).
-3*(q - 1)*(q + 2)*(q + 3)**2
Let h(x) be the second derivative of -x**6/30 - 3*x**5/5 + x**4/4 + 17*x**3/3 - 12*x**2 - 6*x - 10. Factor h(n).
-(n - 1)**2*(n + 2)*(n + 12)
Let a be (-3*(-2)/(-18))/(91/(-234)). Solve 3/7*h + 0 + 3/7*h**3 - a*h**2 = 0 for h.
0, 1
Let b(z) be the second derivative of z**7/1365 + z**6/390 - 7*z**5/390 + z**4/39 - 29*z**2/2 - 2*z - 1. Let q(v) be the first derivative of b(v). Factor q(s).
2*s*(s - 1)**2*(s + 4)/13
Let z(f) be the second derivative of -f**4/8 + 17*f**3/2 - 279*f**2/4 + 161*f - 1. Factor z(s).
-3*(s - 31)*(s - 3)/2
Let d = -62878 - -564536/9. Let f = 152 + d. Factor 2/9*r**2 - 2/9 + 2/9*r - f*r**3.
-2*(r - 1)**2*(r + 1)/9
Let w(d) be the first derivative of -7*d**4/4 - d**3 + d**2 - 2*d - 32. Let h(v) = 28*v**3 + 11*v**2 - 8*v + 9. Let l(a) = 2*h(a) + 9*w(a). Solve l(i) = 0.
-1, 0, 2/7
Let l = 117 - 63. Let a = 55 - l. Factor -i**2 - 1/2*i + 1/2*i**3 + a.
(i - 2)*(i - 1)*(i + 1)/2
Let j(w) = -w**3 + 24*w**2 - 50*w + 2. Let x(s) = 15*s**3 - 384*s**2 + 801*s - 33. Let y be (-195)/6 - 4/8. Let m(a) = y*j(a) - 2*x(a). Factor m(z).
3*z*(z - 4)**2
Suppose -300 + 142 = -240*b + 322. Factor 2/17*y + 0 + 2/17*y**b.
2*y*(y + 1)/17
Let o = -6235 + 6235. Factor 0*u**4 + 2/9*u**5 - 4/9*u**3 + o + 0*u**2 + 2/9*u.
2*u*(u - 1)**2*(u + 1)**2/9
Let c(s) be the first derivative of 3*s**4/16 - 81*s**3/4 - 495*s**2/8 - 249*s/4 - 491. Factor c(p).
3*(p - 83)*(p + 1)**2/4
Let k(v) = -v**2 + 8*v - 8. Let o be (1 + (-39)/21)*-7. Let y be k(o). Factor -3*j - y*j + 3 + j**4 + 9*j - 4*j**2 - 2*j**3 + 0*j.
(j - 3)*(j - 1)*(j + 1)**2
Let u(q) = -4*q - 2. Let o be u(3). Let p be (-4)/o + (-20)/70. Factor -9*z**2 + z**3 + p + 3*z**4 - 5 + 2*z**3 - 15*z - 1.
3*(z - 2)*(z + 1)**3
Let b = 11067 - 11067. Factor -13/5*x**3 + 6/5*x**4 - 1/5*x**5 + b - 4/5*x + 12/5*x**2.
-x*(x - 2)**2*(x - 1)**2/5
Let s(o) be the second derivative of o**5/100 - o**4/20 + o**3/10 + 7*o**2/2 - 4*o. Let y(f) be the first derivative of s(f). Determine a, given that y(a) = 0.
1
Let y(n) be the third derivative of n**5/135 - 11*n**4/27 - 32*n**3/9 - 207*n**2. Determine d so that y(d) = 0.
-2, 24
Solve -56/5*v**2 + 192/25*v + 128/25 - 2/5*v**4 + 96/25*v**3 = 0 for v.
-2/5, 2, 4
Determine l, given that -1/3*l**2 - 5/3*l - 2 = 0.
-3, -2
Find k such that -26/11*k - 2/11*k**2 + 28/11 = 0.
-14, 1
Let n(p) be the third derivative of 0 + 0*p**3 + 1/135*p**5 + 0*p + 0*p**4 - 1/108*p**6 - 5*p**2. Let n(y) = 0. What is y?
0, 2/5
Let j(h) be the third derivative of -7*h**8/16 + 193*h**7/10 - 2063*h**6/8 + 13849*h**5/20 - 689*h**4 + 338*h**3 - 164*h**2. Solve j(p) = 0 for p.
2/7, 1, 13
Determine u so that 6/7*u + 3/7*u**2 - 6/7*u**3 + 0 - 3/7*u**4 = 0.
-2, -1, 0, 1
Let x = -4087/2 - -1921. Let c = x - -123. Factor -1/2*m + 0 + c*m**2.
m*(m - 1)/2
Let z be (-5)/(-15) + 3 + (-160)/12. Let t be (5/z)/((-1)/8). What is y in y**3 - 2/3*y + y**5 + 7/3*y**t + 0 - y**2 = 0?
-1, 0, 2/3
Factor -40/9*p + 0 - 2*p**3 + 16/3*p**2 + 2/9*p**4.
2*p*(p - 5)*(p - 2)**2/9
Suppose -s - 14 = -4*j, -6 + 2 = 2*s - 2*j. Solve 3*m**3 - 2*m**3 - 2*m**4 + 3*m**3 + s*m**2 - m - 3*m = 0 for m.
-1, 0, 1, 2
Suppose 41*b**3 - 12 + 6*b**3 + 2*b**4 - 53*b**3 + 22*b - 6*b**2 = 0. What is b?
-2, 1, 3
Let y(n) be the second derivative of n**7/42 + 13*n**6/30 + 33*n**5/20 + 31*n**4/12 + 5*n**3/3 - 2*n - 123. Find b, given that y(b) = 0.
-10, -1, 0
Let c(y) = -y + 1. Let f(n) = -79 + n**2 + 0*n**2 + 75 + 0*n**2 + 3*n. Let m be 2/(-8) + (-7)/4. Let w(v) = m*f(v) - 10*c(v). Factor w(b).
-2*(b - 1)**2
Let w(l) = -l**3 + 12*l**2 + 2. Let j be w(12). Determine k, given that 4*k**j + 21*k - 2*k**2 + 19 - k + 31 = 0.
-5
Let t(s) be the first derivative of -25/168*s**4 - 4 - 1/2520*s**6 + 0*s + 0*s**2 + s**3 - 1/84*s**5. Let q(p) be the third derivative of t(p). Factor q(j).
-(j + 5)**2/7
Suppose 6*k - 16 = 2. Factor -12*u**4 - 24*u**4 + k*u**2 - 80*u**3 - 19*u**2.
-4*u**2*(u + 2)*(9*u + 2)
Solve 22*v - 41 - 4*v**2 + 8*v + 5 + 10*v = 0.
1, 9
Suppose 21*u = 2*m + 18*u - 955, 3*m - 2*u = 1435. Let p = -6221/13 + m. Suppose p*s**2 - 2/13*s**4 + 0 - 4/13*s + 0*s**3 = 0. What is s?
-2, 0, 1
Factor -21 - 3*k**3 + 3*k**3 + 3*k**3 - 2*k**3 + 31*k - 11*k**2.
(k - 7)*(k - 3)*(k - 1)
Let d be (-17 + (-852)/(-48))*(-400)/(-165). Let 36/11*z**2 - 16/11 - 8/11*z + 6/11*z**5 - d*z**4 + 2/11*z**3 = 0. What is z?
-1, -2/3, 1, 2
Let s be -1 - 0 - (-40)/(80/6). Suppose 0 - 15/4*q**3 - 9/4*q**5 - 3/4*q**s - 21/4*q**4 + 0*q = 0. What is q?
-1, -1/3, 0
Let m = -205 + 207. Let z(k) be the third derivative of -1/20*k**5 - 3*k**m - k**3 + 0*k + 0 + 3/8*k**4. Find v such that z(v) = 0.
1, 2
Let p(c) be the second derivative of c**4/48 - 11*c**3/24 + 5*c**2/4 - 70*c. Let p(l) = 0. What is l?
1, 10
Let g(u) be the second derivative of -2/9*u**3 - 1/6*u**4 + 0 + 0*u**5 + 0*u**2 + 17*u + 1/45*u**6. Solve g(n) = 0 for n.
-1, 0, 2
Let s(q) = 15*q**4 + 25*q**3 + 15*q**2 + 5*q + 5. Let k(b) = -7*b**4 - 12*b**3 - 7*b**2 - 2*b - 2. Let l = -50 - -48. Let j(f) = l*s(f) - 5*k(f). Factor j(p).
5*p**2*(p + 1)**2
Let l be (3 - 1)/((-13)/(-2) - 7) + 4. Factor l*j - 1/2*j**2 + 0.
-j**2/2
Suppose h + f - 8 = -f, 4*f = 4*h - 8. Factor 1 - 4*t**3 + 2*t**3 - 1 - 2*t**h.
-2*t**3*(t + 1)
Let r(q) be the second derivative of -q**5/70 + q**4/21 + 5*q**3/21 - 6*q**2/7 - 462*q. Solve r(y) = 0 for y.
-2, 1, 3
Let q(k) be the second derivative of -27*k**5/140 - 2*k**4 - 57*k**3/14 - 15*k**2/7 - 383*k. Factor q(t).
-3*(t + 1)*(t + 5)*(9*t + 2)/7
Let d(g) be the first derivative of 19 + 2/5*g**4 + 9/5*g**2 - 8/5*g**3 + 0*g. Solve d(z) = 0 for z.
0, 3/2
Let k(p) be the third derivative of -p**6/120 - 11*p**5/180 - p**4/12 + 61*p**2. Factor k(a).
-a*(a + 3)*(3*a + 2)/3
Let b(t) be the first derivative of 11/16*t**4 + t**3 + 3/20*t**5 + 1/2*t**2 + 0*t - 6. Let b(w) = 0. What is w?
-2, -1, -2/3, 0
Suppose -26 = q + 52. Let i be 2/8 + q/(-72). Factor 2/3*j - i*j**2 - 2/3*j**3 + 1/3*j**4 + 1.
(j - 3)*(j - 1)*(j + 1)**2/3
Let -81*y**2 - 7335 + 27*y**2 + 3*y**5 - 81*y - 27*y**4 + 7416 + 78*y**3 = 0. What is y?
-1, 1, 3
Let -53/6*r + 1/6*r**2 + 0 = 0. Calculate r.
0, 53
Let w(p) be the second derivative of p**5/240 + 5*p**4/48 - 17*p**3/36 - 4*p - 65. Factor w(j).
j*(j - 2)*(j + 17)/12
Let s = 297819/13 + -22909. Factor 50/13*h - s*h**4 - 16/13 + 22/13*h**3 - 54/13*h**2.
-2*(h - 8)*(h - 1)**3/13
Suppose 5*b - 15 + 0 = 0. Let u be (-1)/(-1*b) - 88/462. Factor 0 - 2/7*i**2 + u*i**3 + 0*i.
i**2*(i - 2)/7
Let y(n) be the second derivative of -n**4/4 + 3*n**3 + 21*n. Factor y(w).
-3*w*(w - 6)
Let p = -109 - -51. Let g = 175/3 + p. Let -2/3*w**2 - 1/3*w + g = 0. What is w?
-1, 1/2
Suppose i = -5*j, 4*i = 2*j - 6*j. Suppose i*c = -4*y - 5*c + 3, -c + 3 = 2*y. Factor 5/2*z**3 + 8*z - 19/2*z**2 + y.
(z - 2)**2*(5*z + 1)/2
Let s = 67 + -30. Let f = s + -110/3. Let f*m**3 - 1/3*m**2 + 0 - 1/3*m**5 + 0*m + 1/3*m**4 = 0. What is m?
-1, 0, 1
Determine s so that -572/7*s**2 + 192/7*s**3 + 240/7*s**4 - 180/7 - 50/7*s**5 - 654/7*s = 0.
-1, -3/5, 2, 5
Let v(t) be the first derivative of -t**5/25 - t**4/4 + 14*t**3/15 + 73. Factor v(r).
-r**2*(r - 2)*(r + 7)/5
Suppose d + 2*b = 9, -4*d + b - 2*b + 15 = 0. Determine g, given that 4*g**d + 69*g - 25*g - 28*g**2 - 20*g = 0.
0, 1, 6
Factor 11*b**3 + 10 + 31*b**2 + 1/3*b**4 + 91/3*b.
(b + 1)**3*(b + 30)/3
Let x(t) be the third derivative of -t**5/100 - t**4/10 - 3*t**3/10 - 8*t**2 + 2*t. Factor x(w).
-3*(w + 1)*(w + 3)/5
Suppose -109 - 59 = -7*i. Suppose -i - 55*x**2 - 56 + 50*x**2 + 40*x = 0. What is x?
4
Let z(p) be the third derivative of -p**8/756 - 4*p**7/945 + p**6/270 + 2*p**5/135 - 2*p**2 - 126*p. Suppose z(g) = 0. What is g?
-2, -1, 0, 1
Let f(v) be the second derivative of v**4/4 - 7*v**3/3 - 