derivative of -l**5/190 + 14*l**4/57 + 59*l**3/57 + 30*l**2/19 + 10*l - 3. Determine h so that f(h) = 0.
-1, 30
Let p = -224 + 2241/10. Let q(i) be the second derivative of p*i**6 - 1/4*i**5 + 0*i**3 + 5*i - 1/6*i**4 + 0*i**2 + 0. Factor q(u).
u**2*(u - 2)*(3*u + 1)
Let f be (-40)/(-100)*20/3. Solve -2/3*l**2 - f - 8/3*l = 0.
-2
Let a = -30709/3 + 10239. What is g in -1/3*g**2 + 2*g - a = 0?
2, 4
Let m(r) = 1. Let q(g) = -g**2 - 11*g - 18. Let c be q(-7). Let n(f) = -22*f**2 + 6*f + 5. Let l(u) = c*m(u) - 2*n(u). Factor l(i).
4*i*(11*i - 3)
What is d in -4/5*d**3 + 0*d + 0 + 0*d**2 + 2/5*d**4 + 2/5*d**5 = 0?
-2, 0, 1
Let n = -68 + 74. Let l(u) be the third derivative of 0*u**3 + 1/300*u**n + 1/60*u**4 + 0*u + 1/75*u**5 - u**2 + 0. Factor l(c).
2*c*(c + 1)**2/5
Suppose 0 = -3*u + d - 3 - 2, -3*d = -6. Let j(y) = 5*y**2 - 37*y + 10. Let t(f) = 1. Let x(l) = u*j(l) - 4*t(l). Factor x(n).
-(n - 7)*(5*n - 2)
Let l(j) = 4*j - 4. Suppose 3*r = 12 - 0. Let y be l(r). Factor -10*k - 2*k**2 - y + 8 - 2*k**3 - 6*k**2.
-2*(k + 1)**2*(k + 2)
Let i(d) be the first derivative of 1/90*d**6 + 0*d**2 + 0*d + 1/2*d**4 + 2/15*d**5 - 3 - 4/3*d**3. Let f(w) be the third derivative of i(w). Factor f(x).
4*(x + 1)*(x + 3)
Suppose x = -0 + 3. Factor 10*d**x - 6 - 7*d**2 + 1 + 0 + 22*d**2.
5*(d + 1)**2*(2*d - 1)
Let c(t) = 5*t**2 - 28*t + 4. Let v(a) = -6*a**2 + 30*a - 5. Let w(l) = 5*c(l) + 4*v(l). Factor w(h).
h*(h - 20)
Suppose -5*q - 75 + 85 = 0. Let 0 - 2/11*v**q - 8/11*v = 0. Calculate v.
-4, 0
Factor 59/4*l**2 - 15/4*l**3 - 1/4*l**5 - 19/4*l**4 + 9 + 23*l.
-(l - 2)*(l + 1)**3*(l + 18)/4
Let i = 67/33 + 10/33. Let 11/3*q + 14/3*q**2 + 2/3 - i*q**5 - 4/3*q**3 - 16/3*q**4 = 0. What is q?
-1, -2/7, 1
Let v be ((-5)/(-4))/(1/8). Find s such that 2*s**3 - 4*s**4 + 0*s**4 + v*s**3 = 0.
0, 3
Let v be ((-12)/4 - 0) + 7. Find x such that -5 - v - 4 + 10*x + 2*x**2 + 1 = 0.
-6, 1
Let m = -714 + 716. Let b(v) be the second derivative of -3/40*v**5 + 1/16*v**4 + 0*v**m + 0*v**3 + 0 - 3*v + 1/40*v**6. Factor b(h).
3*h**2*(h - 1)**2/4
Let c(q) be the third derivative of q**5/120 - 11*q**4/48 - 13*q**3/6 - q**2 + q. Let c(p) = 0. Calculate p.
-2, 13
Let m(b) be the first derivative of -5*b**6/6 - 7*b**5 - 75*b**4/4 - 65*b**3/3 - 10*b**2 - 29. Factor m(q).
-5*q*(q + 1)**3*(q + 4)
Let k(t) be the first derivative of t**7/2940 - t**6/630 - t**5/140 + 5*t**3/3 - 3. Let v(g) be the third derivative of k(g). Determine y, given that v(y) = 0.
-1, 0, 3
Let g = -638 + 42107/66. Let v = g - -89/66. Determine s, given that 4/3*s + 0 + 2*s**4 - v*s**3 - 2*s**2 = 0.
-1, 0, 2/3, 1
Let p(k) = -15*k - 14. Let i be p(-5). Let a = i + -58. Factor 7/3*h + 2/3 + 5/3*h**3 + a*h**2 + 1/3*h**4.
(h + 1)**3*(h + 2)/3
Let s = 35 + -31. Let 3*n**s + 15 + 40*n - 4*n**4 + 19*n**2 - 4*n**4 + 11*n**2 = 0. Calculate n.
-1, 3
Let p be 0 + 7*(-15)/(-36) + 10/(-40). Factor 2/3*j**2 + 2*j - p.
2*(j - 1)*(j + 4)/3
Let x(q) be the second derivative of 0 + 2*q**3 + 16*q + 0*q**2 + 1/6*q**4. Let x(n) = 0. What is n?
-6, 0
Let h(g) be the first derivative of 16*g**2 - g + 9. Let a be h(1). Suppose 8 + a*q**3 - 80*q + 170*q**2 - 193*q**3 + 64*q**2 = 0. What is q?
2/9, 1
Let g be 1272/36 + (-2)/6. Suppose 5*d**4 - 15*d**3 + 8*d**4 + g*d**3 + 112*d**2 + 64*d + d**5 + 40*d**3 = 0. Calculate d.
-4, -1, 0
Let k(m) be the third derivative of -m**7/4200 + m**6/1800 - 4*m**3/3 + 4*m**2. Let n(u) be the first derivative of k(u). Factor n(i).
-i**2*(i - 1)/5
Let r(c) be the third derivative of -c**8/1008 + 13*c**7/210 - 34*c**6/45 - 518*c**5/45 - 154*c**4/3 - 968*c**3/9 - 24*c**2 + 2. Let r(u) = 0. What is u?
-2, -1, 22
Let g(r) be the second derivative of -r**6/780 - r**5/65 - 3*r**4/52 - 21*r**2/2 + 38*r. Let j(k) be the first derivative of g(k). Factor j(u).
-2*u*(u + 3)**2/13
Factor -7/5*j**2 + 7/5*j + 3 + 1/5*j**3.
(j - 5)*(j - 3)*(j + 1)/5
Let b(s) = -1373*s**2 - 144*s. Let c(f) = -2745*f**2 - 289*f - 1. Let o be -3 + (5 - 7) + -2. Let w(p) = o*b(p) + 4*c(p). Factor w(q).
-(37*q + 2)**2
Suppose 27 = 48*c - 45*c. Find d such that 0 + 3*d**3 - 12*d**2 - 2 + 2*d**2 + c*d = 0.
1/3, 1, 2
Let u(c) = c**2 + 8*c + 15. Let q(x) = 12*x + 31. Let w be q(-3). Let m be u(w). Factor 0 + m*h + h**2 - 5/2*h**4 + 3/2*h**3.
-h**2*(h - 1)*(5*h + 2)/2
Suppose 4 = -4*x - 5*g, 0 = -x - g - 2*g + 6. Let v be (-32)/8*x/8. Factor 3 + 3*m**2 - 5 + v - 9*m + 5.
3*(m - 2)*(m - 1)
Suppose 0 = -75*s - 10*s + 595. Let o(y) be the third derivative of -4*y**2 + 0*y**4 + 0*y**6 - 1/70*y**s + 0 + 1/20*y**5 + 0*y + 0*y**3. Factor o(v).
-3*v**2*(v - 1)*(v + 1)
Suppose -3*d + 0*d = 9. Let m = 7 + d. Factor -16*w**2 - 5*w**4 + 5*w**m + 2*w**4 + 32.
2*(w - 2)**2*(w + 2)**2
Find i such that 0*i + 108/11 - 45/11*i**2 + 5/11*i**4 + 5/11*i**3 - 1/11*i**5 = 0.
-2, 3
Let s(n) be the second derivative of -7*n + 0*n**4 + 0*n**3 + 0*n**5 + 0*n**2 + 1/150*n**6 + 0 - 1/210*n**7. Let s(i) = 0. Calculate i.
0, 1
Suppose u - p = -1, -211*p + 210*p = -2*u + 1. Determine x, given that 0 + 2/5*x**3 + 0*x**u - 2/5*x = 0.
-1, 0, 1
Let f(o) = -6*o**4 - 38*o**3 + 178*o**2 - 266*o + 124. Let x(y) = 4*y**4 + 25*y**3 - 119*y**2 + 177*y - 82. Let w(i) = -5*f(i) - 8*x(i). Factor w(v).
-2*(v - 2)*(v - 1)**2*(v + 9)
Let j(c) = -c**2 + c. Let u(z) = -2*z**2 + 20*z + 32. Let d(v) = 4*j(v) - u(v). Factor d(l).
-2*(l + 4)**2
Let b(s) be the third derivative of s**5/36 - 5*s**4/12 - 35*s**3/18 + 100*s**2. Factor b(f).
5*(f - 7)*(f + 1)/3
Let c(y) = 11*y**2 - 299*y + 4374. Let v(m) = -6*m**2 + 147*m - 2187. Let o(d) = -3*c(d) - 5*v(d). Let o(t) = 0. Calculate t.
27
Let d(k) be the third derivative of 5*k**8/336 + k**7/14 - k**6/24 - k**5/4 - 2*k**2 - 16*k. Let d(t) = 0. Calculate t.
-3, -1, 0, 1
Factor -1/3*x**3 + 4/9*x + 0 + 1/9*x**4 + 0*x**2.
x*(x - 2)**2*(x + 1)/9
Let f be ((-124)/24)/((-5)/225). Let x = f - 232. Suppose 0*z - 1/2 + x*z**2 = 0. Calculate z.
-1, 1
Let n = -3134801/176 + 238851/16. Let m = -2881 - n. Factor 18/11*k**2 + 8/11 - m*k.
2*(3*k - 2)**2/11
Let p = -2095 + 2095. Let n(g) be the first derivative of g**2 - 1/2*g**4 - 1/3*g**3 + p*g + 1/5*g**5 + 8. Let n(q) = 0. Calculate q.
-1, 0, 1, 2
Suppose 17*f = 18*f + 6. Let q(o) = -12*o + 7 + 7*o**2 - 2*o**2 + 4. Let v(s) = -2*s**2 + 6*s - 6. Let g(x) = f*q(x) - 11*v(x). Find j such that g(j) = 0.
0, 3/4
Let q = 105 - 103. Factor -3*m**q + 15*m**3 + 0*m**2 - 5*m**4 - 12*m**2 + 5*m.
-5*m*(m - 1)**3
Let n(p) be the second derivative of -p**4/30 + 2*p**3/15 - 92*p. Factor n(b).
-2*b*(b - 2)/5
Let b(g) be the first derivative of -g**3 - g**2 - 687. Suppose b(c) = 0. What is c?
-2/3, 0
Let p(o) = o + 16. Let x be p(-12). Let h be 3 + (-6 - 1) + 19/x. Factor 0 + h*b**2 + 3/2*b.
3*b*(b + 2)/4
Factor 1/3*c**4 - 2 - 5*c**2 + c**3 + 17/3*c.
(c - 1)**3*(c + 6)/3
Let d = 10996 - 10993. Determine k, given that -4/5 + 52/5*k**2 + 0*k + 48/5*k**d = 0.
-1, -1/3, 1/4
Let g(t) = 5*t**2 + 79*t - 67. Let a(y) = y**2 + 13*y - 11. Let k(d) = -34*a(d) + 6*g(d). Determine w so that k(w) = 0.
1, 7
Let x(i) be the second derivative of 13*i**6/10 - 9*i**5/4 - 6*i**4 + 2*i**3 - 2*i + 115. Factor x(f).
3*f*(f - 2)*(f + 1)*(13*f - 2)
Suppose 3*z = -2*p - z - 32, 4*z + 98 = -5*p. Let l = p - -24. Suppose 4/7*r - 6/7 + 2/7*r**l = 0. Calculate r.
-3, 1
Suppose -5*c - 32 = -3*i + 1, 2*i + c = 9. Suppose -2*g = 0, g + 8 = 4*h + i*g. Factor 8/3*a - 2/3 - 2*a**h.
-2*(a - 1)*(3*a - 1)/3
Let n(y) be the third derivative of -1/60*y**6 + 1/66*y**4 + 0*y + 9*y**2 + 0*y**3 + 0 - 4/1155*y**7 - 1/66*y**5. Let n(r) = 0. What is r?
-2, -1, 0, 1/4
Let i(y) be the third derivative of -y**6/30 + 18*y**5/35 + 79*y**4/42 + 12*y**3/7 + 19*y**2. Factor i(g).
-4*(g - 9)*(g + 1)*(7*g + 2)/7
Let j(z) be the third derivative of 0 + 0*z + 5/24*z**4 - 18*z**2 - 1/24*z**6 + 35/6*z**3 - 7/12*z**5. Suppose j(m) = 0. What is m?
-7, -1, 1
Let k be -3 + (-2 - (-63)/12). Let j(f) be the first derivative of 6 + 1/4*f + 5/6*f**3 + k*f**5 - 5/8*f**2 - 5/8*f**4 - 1/24*f**6. Factor j(g).
-(g - 1)**5/4
Suppose -4 = -4*j - 2*y - 2*y, 4*y = 5*j - 41. Find b, given that -4 - 11 + j*b - 12*b**2 + 17*b**2 + 5 = 0.
-2, 1
Let i(z) be the second derivative of 0 + 1/30*z**5 - 1/9*z**4 - 4/9*z**3 + 8/3*z**2 - 42*z. Factor i(h).
2*(h - 2)**2*(h + 2)/3
Factor 0 - 1/2*z**2 + 8*z.
-z*(z - 16)/2
Let y be 5/10*24