st derivative of -g**6/33 - 2*g**5/11 - 5*g**4/11 - 20*g**3/33 - 5*g**2/11 - 2*g/11 - 50. What is h in f(h) = 0?
-1
Let a(c) be the second derivative of 5*c**4/6 + 2*c**3/3 + 234*c. Determine w so that a(w) = 0.
-2/5, 0
Suppose -2*j + 13 - 9 = 0. Suppose 3*l = -4*w - l + 8, -w - 4*l + j = 0. Factor 2/7*c - 1/7*c**w + 0 - 1/7*c**3.
-c*(c - 1)*(c + 2)/7
Let j(a) = a**2 + 3*a + 4. Let l(i) = -2*i**2 - 5*i - 7. Let n(o) = o**2 - 18*o + 73. Let v be n(11). Let g(c) = v*l(c) - 7*j(c). Factor g(x).
x*(x - 1)
Determine s, given that -26*s**3 - 968*s**2 - 307*s**4 + 615*s**4 - 62*s**3 - 310*s**4 = 0.
-22, 0
Let c = 36062/5 - 7210. Let -9*i**3 - 21/5*i**2 + 0 - 3/5*i - c*i**5 - 39/5*i**4 = 0. Calculate i.
-1, -1/4, 0
Let a(k) be the second derivative of -k**5/6 - k**4/3 - 4*k**3/15 - 10*k**2 + 18*k. Let q(s) be the first derivative of a(s). Find v such that q(v) = 0.
-2/5
Let g(d) = 2*d**3 - 3*d**2 + 32*d + 32. Let h(o) = 4*o**3 - 4*o**2 + 48*o + 48. Let s(f) = -8*g(f) + 5*h(f). Let s(p) = 0. Calculate p.
-2, -1, 2
Suppose 0 = 8*t - 100 - 28. Suppose -t*l = -5*l. Let 1/3*s**2 + 1/3*s + l = 0. Calculate s.
-1, 0
Suppose -4 = -2*c - 0*c. Suppose 0 = d + 2*p + c*p - 11, -d = -5*p + 7. Factor -v**2 - v**d + v + 0*v + 3 + 0*v - 2.
-(v - 1)*(v + 1)**2
Let o(x) be the third derivative of -x**6/1080 - x**5/90 - x**4/27 + 10*x**2 + 1. Factor o(u).
-u*(u + 2)*(u + 4)/9
Determine a, given that -11*a - 42*a**2 + 3*a**3 - 2*a**4 + 45 + a**3 + 35*a - a**4 - 28*a**3 = 0.
-5, -3, -1, 1
Let v = -111 - -111. Let b be (1 + v)/1 + -1. Let b*q + 10/3*q**3 + 4/3*q**2 + 0 = 0. What is q?
-2/5, 0
What is b in -13/6*b + 1/3*b**2 + 2*b**3 + 1/6*b**5 + 1 - 4/3*b**4 = 0?
-1, 1, 6
Suppose -3*r + 173 = 5*m - 477, 3*m = -r + 394. Suppose 0 = -i - 130 + m. What is a in 2/9*a - 2/9*a**i + 2/9*a**2 - 2/9 = 0?
-1, 1
Let r(w) be the first derivative of -2*w**3/27 - 38*w**2/9 + 26*w/3 - 46. Solve r(h) = 0 for h.
-39, 1
Find k, given that -2/5*k**2 - 6*k + 32/5 = 0.
-16, 1
Let y(o) be the first derivative of -o**6/324 - o**5/135 + o**4/108 + 2*o**3/3 - 11. Let t(u) be the third derivative of y(u). Factor t(c).
-2*(c + 1)*(5*c - 1)/9
Suppose 5*s - 7 = -j + 6*s, 0 = -4*s - 20. Factor 0*u**3 + u + 3/2*u**j - 1/2*u**4 + 0.
-u*(u - 2)*(u + 1)**2/2
Let c = 2798 + -2798. Factor 3/2*f**2 + 3*f**3 + 0*f + c.
3*f**2*(2*f + 1)/2
Let t(h) be the first derivative of -h**4/4 - 6*h**3 - 54*h**2 + 21*h + 14. Let g(n) be the first derivative of t(n). Factor g(s).
-3*(s + 6)**2
Let u(g) be the first derivative of 2/5*g**2 - 1/60*g**4 - 2 - 5*g + 0*g**3. Let t(f) be the first derivative of u(f). Factor t(z).
-(z - 2)*(z + 2)/5
Factor 6*a**2 - 96/7 - 6/7*a**3 + 60/7*a.
-6*(a - 8)*(a - 1)*(a + 2)/7
Factor -2/15*q**3 + 16/15 - 2/3*q**2 - 4/15*q.
-2*(q - 1)*(q + 2)*(q + 4)/15
Factor 0 - 3/5*q**2 + 2*q - 1/5*q**3.
-q*(q - 2)*(q + 5)/5
Let c(q) = 3*q**3 - 4*q + 64 + 5*q**2 - 30 - 28. Let w(n) = 3*n**3 + 6*n**2 - 3*n + 6. Let t(h) = 6*c(h) - 5*w(h). Let t(m) = 0. Calculate m.
-2, 1
Let y = -18709/15 - -6243/5. Factor -1/3*l**2 + y*l - 1.
-(l - 3)*(l - 1)/3
Suppose 0 = -3*n + n. Let x = n - -4. Determine a so that -28*a**2 - 14*a**5 + 0*a - x - 12*a**3 + 32*a**4 + 13*a + 9*a + 4*a**3 = 0.
-1, 2/7, 1
Let w(y) be the first derivative of y**6/720 + y**5/240 - 4*y**3/3 + 5. Let m(i) be the third derivative of w(i). Factor m(u).
u*(u + 1)/2
Let b = 25 - 13. Suppose -3*w = 5*r - 20, 5*w - 3*r = w - b. Factor w*i + 0 - 2/3*i**3 + 4/3*i**2.
-2*i**2*(i - 2)/3
Let v(b) be the third derivative of -3/280*b**7 - 1/80*b**5 + 0*b**3 + 0*b**4 + 0*b - 3/160*b**6 + 14*b**2 - 1/448*b**8 + 0. Let v(g) = 0. What is g?
-1, 0
Suppose -4*n + 38 - 18 = 0. Find j such that -50*j - 57*j**5 + 1 + 64*j**3 - 6*j**4 - 18*j**4 + 11 + 12*j**2 + 43*j**n = 0.
-3, -1, 2/7, 1
Let m(v) be the second derivative of -1/100*v**5 + 0 + 6*v - v**2 + 0*v**4 + 0*v**3. Let p(x) be the first derivative of m(x). Factor p(f).
-3*f**2/5
Let m(q) be the second derivative of q**7/42 - q**6/15 - q**5/20 + q**4/6 - 73*q. Determine a so that m(a) = 0.
-1, 0, 1, 2
Let o(d) be the third derivative of -d**8/336 + d**7/210 + d**6/24 - d**5/12 - d**4/6 + 2*d**3/3 - 424*d**2. Let o(a) = 0. What is a?
-2, -1, 1, 2
Let c(t) be the third derivative of -t**5/40 + t**4/16 + t**2 + 166. Find q, given that c(q) = 0.
0, 1
Let b be 56/(-21)*1*(4/(-4))/8. Factor 1/3*g**5 + 1/3 + b*g**4 - 2/3*g**2 - 2/3*g**3 + 1/3*g.
(g - 1)**2*(g + 1)**3/3
Let r(o) be the first derivative of 9/4*o**3 + 27/4*o**2 - 5*o + 1/40*o**5 - 6 + 3/8*o**4. Let k(w) be the first derivative of r(w). Factor k(g).
(g + 3)**3/2
Let w(h) be the first derivative of -h**6/6 + 17*h**5/15 + 29*h**4/12 - 5*h**3/9 - 7*h**2/3 + 77. Let w(r) = 0. What is r?
-1, 0, 2/3, 7
Let l(o) = o**3 - 53*o**2 - 2*o + 109. Let c be l(53). Let -z**c + 13/4*z**2 - 3/4*z + 0 = 0. What is z?
0, 1/4, 3
Let p(r) be the first derivative of r**6/33 - 4*r**5/55 - 36. Factor p(y).
2*y**4*(y - 2)/11
Let s(q) be the third derivative of q**8/588 + 8*q**7/735 + 2*q**6/105 - 2*q**5/105 - 5*q**4/42 - 4*q**3/21 + 2*q**2 - 7*q. Factor s(m).
4*(m - 1)*(m + 1)**3*(m + 2)/7
Factor -9*j**3 - 7*j**3 - 48*j - 16 - 90*j**2 + 46*j**2 - 2 - 2*j**4.
-2*(j + 1)**2*(j + 3)**2
Let k(y) be the first derivative of -3 + 1/2*y**2 - 1/200*y**6 + 0*y**3 + 0*y - 1/50*y**5 - 1/40*y**4. Let q(u) be the second derivative of k(u). Factor q(w).
-3*w*(w + 1)**2/5
Let n be (6/(90/685))/(1/3). Determine d, given that -2*d**3 + 6*d**2 + n - 3*d - 137 + 11*d**3 = 0.
-1, 0, 1/3
Let p(x) be the second derivative of -x**5/20 + 7*x**4/12 + 11*x**3/6 - 10*x**2 + 30*x. Let i be p(8). Find d such that -1/2*d**2 - 8 - i*d = 0.
-4
Suppose 280*x + 324*x = 548*x. Let 0*n + x + 0*n**3 - 8/9*n**2 + 2/3*n**4 - 2/9*n**5 = 0. Calculate n.
-1, 0, 2
Suppose -4*n - 4*y = -5*n - 2, 0 = -5*n - 3*y + 13. Let v(a) be the second derivative of 0*a**n + a + 1/2*a**3 + 0 + 0*a**4 - 3/20*a**5. Factor v(w).
-3*w*(w - 1)*(w + 1)
Determine l so that 66*l - 28 - 46*l**2 + 8*l**3 - 16*l**4 - 2*l**3 + 9*l**4 + 9*l**4 = 0.
-7, 1, 2
Suppose 5*s + 5*n = 2*s - 4, -5*n + 5 = 0. Let a = 11 - s. Factor -a*u**2 - 3 + 3*u**2 + 13*u**2 + 1.
2*(u - 1)*(u + 1)
Suppose -5*c - 5*x + 10*x = -70, -4*c = 2*x - 38. Suppose p - 2*t - 8 = 0, c*p - 15*p + 11 = -t. Factor 0 - 4/3*j**p + 1/3*j.
-j*(4*j - 1)/3
Let p(m) be the third derivative of 0*m**4 - 2/315*m**7 + 0*m**3 + 0*m - m**2 - 1/90*m**6 + 0 + 0*m**5. Factor p(x).
-4*x**3*(x + 1)/3
Let 2/3*u**3 - 16/3*u + 14/3*u**5 - 38/3*u**4 - 8/3 + 46/3*u**2 = 0. Calculate u.
-1, -2/7, 1, 2
Let g = -21 - -24. Suppose -4*v**4 + 0*v**4 - 555*v**3 - 20*v**2 + 571*v**g + 8*v = 0. What is v?
0, 1, 2
Let o(w) be the second derivative of -3*w**6/5 - 111*w**5/10 - 203*w**4/3 - 404*w**3/3 - 120*w**2 + 3*w + 2. Determine i, given that o(i) = 0.
-6, -5, -2/3
Let o(s) be the third derivative of -s**6/40 + 13*s**5/60 + 13*s**4/6 + 14*s**3/3 - 137*s**2. Suppose o(h) = 0. Calculate h.
-2, -2/3, 7
Let w(f) be the first derivative of -5*f**3/9 + 16*f**2/3 - 4*f + 197. Suppose w(l) = 0. What is l?
2/5, 6
Suppose d + 3 = 6. Factor d*f**2 - 10*f - 12 - f + 8*f - 6*f.
3*(f - 4)*(f + 1)
Factor -2/5*h**3 + 0*h - 2/5*h**2 + 0.
-2*h**2*(h + 1)/5
Let v = -98/3 + 327/10. Let r(b) be the second derivative of 0 - 3*b + 2/5*b**2 - v*b**4 - 1/15*b**3. What is j in r(j) = 0?
-2, 1
Let v be (-3 + 1/(16/24))/(1/(-2)). Suppose -1/4*x**4 + 0*x + 0 + 0*x**2 - 1/4*x**v = 0. Calculate x.
-1, 0
Let g(a) = -11*a**2 - 216*a - 3888. Let f(m) = -4*m**2 - 72*m - 1296. Let z(l) = -8*f(l) + 3*g(l). Factor z(t).
-(t + 36)**2
Let f be 20/12 + 2/(-15)*11. What is w in -f*w**4 + 3/5*w**2 + 2/5*w**3 - 4/5*w - 4/5 = 0?
-1, 2
Let f(b) be the first derivative of -5*b**4/12 + 5*b**3/6 + 5*b**2 + b + 15. Let c(v) be the first derivative of f(v). Factor c(u).
-5*(u - 2)*(u + 1)
Suppose 8*y + 0 - 24 = 0. Let 2903 - 5*z**2 + 5*z**4 - 2903 + 5*z**y - 5*z = 0. Calculate z.
-1, 0, 1
Suppose -22*h + 9*h - h + 56 = 0. Suppose 25/3 - 10/3*u - 1/3*u**h + 10/3*u**3 - 8*u**2 = 0. What is u?
-1, 1, 5
Let f = 56 - 51. Factor 32*m**4 + 117*m**f - 7*m**4 + 20*m**3 - 80 - 80*m**2 - 112*m**5 - 160*m.
5*(m - 2)*(m + 1)*(m + 2)**3
Let j(l) be the first derivative of -11*l**4/12 + 37*l**3/9 - 2*l**2 - 109. Factor j(t).
-t*(t - 3)*(11*t - 4)/3
Let v(j) = 10*j**3 + 13*j**2