 third derivative of 0 - 6*m**3 - 2/15*m**6 - 2/105*m**7 + 2/15*m**5 + 0*m + 2*m**4 - 12*m**2. Find j such that t(j) = 0.
-3, 1
Let o(p) be the third derivative of 5*p**6/24 - 71*p**5/6 + 1295*p**4/6 - 980*p**3/3 + 1039*p**2. Factor o(z).
5*(z - 14)**2*(5*z - 2)
Suppose -5*l = f + 11, -4*l = -3*l - 5*f + 23. Let a = 0 - l. Determine p so that -p**2 - a*p**2 + 0 - 16 + 16*p = 0.
2
Let a(s) = -4*s**4 + 18*s**3 + 3*s**2 - 7. Let d(c) = -c**4 + 2*c**3 + c**2 - 1. Let b(t) = -5*a(t) + 35*d(t). Factor b(n).
-5*n**2*(n + 2)*(3*n - 2)
Let d(o) be the third derivative of o**6/900 - 4*o**5/75 - o**4/180 + 8*o**3/15 - 4*o**2 + 39. Factor d(s).
2*(s - 24)*(s - 1)*(s + 1)/15
Suppose 6/5*k**5 + 36/5 - 63/5*k**3 + 147/5*k**2 - 123/5*k - 3/5*k**4 = 0. What is k?
-4, 1, 3/2
Let k(p) be the first derivative of 0*p + 2 + 25/16*p**4 - 5/3*p**3 + 1/2*p**2. Suppose k(i) = 0. Calculate i.
0, 2/5
Let c(t) be the second derivative of t**3/6 - 3*t**2 + 2*t. Let j be c(10). Suppose 8*a**2 + 4*a**3 + a**3 + 7*a - j*a**4 + 5*a**4 - 3*a = 0. What is a?
-2, -1, 0
Let n(d) = 20*d**5 + 10*d**4 + 24*d**3 + 8*d**2 - 8*d - 18. Let t(w) = -w**5 - w**3 - w**2 + 1. Let i(g) = 2*n(g) + 36*t(g). Factor i(y).
4*y*(y - 1)*(y + 1)**2*(y + 4)
Factor 1/3*j**2 + 152/3*j + 5776/3.
(j + 76)**2/3
Suppose 5*i + 2*k = 19, -i + 37 = 4*i - 4*k. Suppose -6 = -i*d + 2*d. Factor -2/3*v**d - 8/3 + 8/3*v.
-2*(v - 2)**2/3
Let u be (2/7)/((-10)/(-140)). Factor -6*m**2 + 2*m**2 + 2*m**u - 2*m**3 + 4*m**3.
2*m**2*(m - 1)*(m + 2)
Determine l so that 834/5*l**4 + 5400 - 17280*l + 15462*l**2 - 18/5*l**5 - 13238/5*l**3 = 0.
2/3, 15
Let i(r) = -44*r**3 + 436*r**2 - 804*r - 1212. Let q(a) = 9*a**3 - 87*a**2 + 161*a + 242. Let o(w) = 5*i(w) + 24*q(w). Suppose o(z) = 0. What is z?
-1, 3, 21
Let v be (-136)/(-40) - (3/(-3) + 4). Find l, given that -v + 3/5*l + 0*l**2 - 1/5*l**3 = 0.
-2, 1
Let s be (-84)/(-18)*(-60)/(-630). Factor 0 - 2/9*v**4 + 2/9*v**3 + 0*v + s*v**2.
-2*v**2*(v - 2)*(v + 1)/9
Let m(t) be the third derivative of -t**8/1344 + t**7/280 + 8*t**2 - 3*t. Factor m(a).
-a**4*(a - 3)/4
Let o(t) = -25*t**3 - 512*t**2 - 182*t. Let r(k) = 87*k**3 + 1794*k**2 + 636*k. Let s(a) = -18*o(a) - 5*r(a). Factor s(g).
3*g*(g + 16)*(5*g + 2)
Suppose 3*j - 4*u = -12, -j + 0*j + u = 4. Let m be (135/j)/(-5) + -5 + 1. Determine q so that 1/2*q + 21/4*q**3 + 5/4*q**5 + 0 + m*q**2 + 17/4*q**4 = 0.
-1, -2/5, 0
Suppose -5*r + 6*r + 5 = 0. Let l(o) = -o**2 - 5*o + 3. Let y be l(r). Factor 3*q**3 + 3*q**4 + 0*q**y + 5*q**3 - 2*q**3.
3*q**3*(q + 2)
Let i(w) = 78*w - 4*w**2 - 77*w + 5*w**2. Let r(t) = 2*t**2 + 7*t. Let l(n) = 15*i(n) - 5*r(n). Solve l(b) = 0.
0, 4
Let t(m) = m**2 - m + 1. Let d(l) = -2*l**2 - 74*l - 6. Let i(p) = -d(p) - 6*t(p). Factor i(w).
-4*w*(w - 20)
Let a(c) be the first derivative of c**5/20 - 5*c**4/8 + 2*c**3 + 20*c**2 + 22. Let j(x) be the second derivative of a(x). Suppose j(f) = 0. Calculate f.
1, 4
Let f(d) be the third derivative of -d**7/6300 - d**6/900 - d**5/300 - d**4 - 4*d**2. Let y(p) be the second derivative of f(p). Let y(g) = 0. What is g?
-1
Find h such that 265/4*h**2 - 65 - 5/4*h**4 - 255/4*h**3 + 255/4*h = 0.
-52, -1, 1
Let a(w) be the second derivative of 1/3*w**3 - 1/24*w**4 + 1/120*w**6 + 0 - 5*w - 1/30*w**5 + 2*w**2. Let i(n) be the first derivative of a(n). Factor i(o).
(o - 2)*(o - 1)*(o + 1)
Let f = 1046/3 + -7262/21. Factor -f*x + 4/7*x**5 + 16/7*x**3 + 8/7 + 8/7*x**2 - 16/7*x**4.
4*(x - 2)*(x - 1)**3*(x + 1)/7
Let q be -3 + (-20)/(-6)*3. Let x = -25 + 30. Factor -3*l + 42*l**3 + 10*l**5 - 2 - l**x + 18*l**2 - q*l**4 + 40*l**4 - 1.
3*(l + 1)**4*(3*l - 1)
Let k(d) = -d**4 - 3*d**3 - 13*d**2 + 5*d + 12. Let q(f) = 3*f**4 + 6*f**3 + 27*f**2 - 11*f - 25. Let a(g) = 5*k(g) + 2*q(g). Let a(z) = 0. Calculate z.
-2, -1, 1, 5
Let o be (100/(-12))/((-1)/3). Suppose -5*l + o + 0 = 0, 0 = 4*x - 5*l - 35. Let -15*a - 3*a**2 + x*a + a**2 = 0. What is a?
0
Let r = -1057 - -1060. Factor -6/5*h**r + 0*h**4 + 0*h + 0 + 2/5*h**5 - 4/5*h**2.
2*h**2*(h - 2)*(h + 1)**2/5
Let w(z) = -z**4 + z**2 - z. Let s(a) = -2*a**4 - 20*a**3 + 42*a**2 - 34*a + 8. Let m(b) = s(b) - 6*w(b). Factor m(o).
4*(o - 2)*(o - 1)**3
Let g(i) be the second derivative of -7*i**4/12 - i**3/3 - 7*i**2/2 - i. Let p = -706 + 702. Let c(s) = 8*s**2 + s + 8. Let b(v) = p*c(v) - 5*g(v). Factor b(j).
3*(j + 1)**2
Let q(h) be the first derivative of -h**5/60 + h**4/6 - 2*h**3/3 + 6*h**2 - 1. Let d(a) be the second derivative of q(a). Factor d(l).
-(l - 2)**2
Factor 0 + 18/5*r**3 + 378/25*r**2 - 2/25*r**4 - 2/25*r**5 + 432/25*r.
-2*r*(r - 8)*(r + 3)**3/25
Let z = 46 - 49. Let m be 0 - 0*z/(-6). Factor m*s**3 + 2/5*s**4 + 4/5*s - 6/5*s**2 + 0.
2*s*(s - 1)**2*(s + 2)/5
Let n(p) be the third derivative of 0*p**4 + 0*p - 38*p**2 + 0*p**6 + 0*p**3 + 1/525*p**7 + 1/840*p**8 + 0 + 0*p**5. Find o such that n(o) = 0.
-1, 0
Let f = 1141 - 1141. Let n(t) be the third derivative of 1/30*t**5 + 9*t**2 + 0*t + f + 1/6*t**4 + 0*t**3. Factor n(h).
2*h*(h + 2)
Let m = -60 - -69. Let j = -3 + 6. Let m*v**3 - 23*v**4 - v**j + 19*v**4 = 0. Calculate v.
0, 2
Let d(b) be the first derivative of b**3/6 - 9*b**2/4 + 7*b + 164. Factor d(f).
(f - 7)*(f - 2)/2
Let y(m) = m**3 - 8*m**2 + 4*m + 8. Let n(j) = j + 2. Let v(f) = -4*n(f) + y(f). Find d, given that v(d) = 0.
0, 8
Let s(d) be the third derivative of 18*d**3 + 0*d + 3/2*d**4 + 1/20*d**5 + 0 + 6*d**2. Solve s(x) = 0.
-6
Suppose 3*d = 5 + 1. Suppose d*g - g = 5*x - 23, 5*x + 5*g = 35. Determine n, given that 4*n**2 - x*n**2 + 0*n - n + 0*n**2 = 0.
-1, 0
Let c(j) be the second derivative of -j**6/60 + j**5/4 - 7*j**4/8 + 173*j. Let c(q) = 0. Calculate q.
0, 3, 7
Let i = -6708 + 6711. Factor 0*o - 4/5*o**i - 8/5*o**4 + 0 - 4/5*o**5 + 0*o**2.
-4*o**3*(o + 1)**2/5
Find q such that -20*q**4 - 111*q**2 + 174 + 6*q**4 + 120*q**2 + 87*q**3 - 267*q + 11*q**4 = 0.
-2, 1, 29
What is v in -8 - 10*v**2 - 5/2*v**3 + 18*v + 3*v**4 - 1/2*v**5 = 0?
-2, 1, 2, 4
Suppose 2*q + 3 - 6 = -j, 3*q = 4*j + 10. Let 0*t**4 + 4/5*t**q + 0*t + 0 - 2/5*t**5 + 6/5*t**3 = 0. Calculate t.
-1, 0, 2
Suppose 4*u = -9 + 1, 4*h + 5*u = -42. Let f be h*2/(-10) - (-4)/10. What is l in -4/3*l**3 - 8/3*l - 2/9*l**4 - 8/9 - 26/9*l**f = 0?
-2, -1
Let z(r) be the second derivative of -1/10*r**6 + 0 + 21*r + 0*r**2 - 9/10*r**5 + 1/14*r**7 + 4*r**3 + r**4. Factor z(c).
3*c*(c - 2)**2*(c + 1)*(c + 2)
Let i = 54762/5 + -10952. Suppose 0 + 6/5*a**3 + 6/5*a**4 + 2/5*a**2 + 0*a + i*a**5 = 0. Calculate a.
-1, 0
Let g(b) be the third derivative of -b**6/320 + 11*b**5/160 - 9*b**4/32 - 20*b**2. Factor g(w).
-3*w*(w - 9)*(w - 2)/8
Suppose n - 8 = -9. Let l be 10*(1 - n/(-2)). Determine q, given that q - 11 + 6 + 2*q**4 - q**5 + l - 2*q**2 = 0.
-1, 0, 1
Let b(t) be the first derivative of -2*t**3/27 + 2*t**2/9 + 16*t/9 + 225. Solve b(w) = 0 for w.
-2, 4
Suppose 4*a - 2*f = 28, 6*a - 4*f = a + 41. Let h(q) = -q + 8. Let i be h(a). What is n in -1/2*n + 1/4*n**2 + 0 + 1/2*n**i - 1/4*n**4 = 0?
-1, 0, 1, 2
Let 1/2*d**5 + 40 - 16*d - 32*d**2 + 11/2*d**4 + 2*d**3 = 0. What is d?
-10, -2, 1, 2
Let x(n) be the second derivative of 5*n**4/12 - 145*n**3/6 - 75*n**2 + 340*n. Factor x(u).
5*(u - 30)*(u + 1)
Find a such that -88*a - 3*a**5 + 12*a**3 - 77*a + 6*a**2 - 6 + 156*a = 0.
-1, 1, 2
Let g(q) be the first derivative of 7 + 3/7*q**3 + 15/14*q**2 - 6/7*q. Suppose g(a) = 0. Calculate a.
-2, 1/3
Let q(k) be the second derivative of 5*k**4/12 + 65*k**3/2 + 995*k**2/2 - 37*k. Let p(r) = 8*r**2 + 293*r + 1493. Let n(j) = 5*p(j) - 7*q(j). Factor n(v).
5*(v + 10)**2
Let n(h) be the third derivative of -h**6/540 + h**5/54 + h**4/9 - 4*h**3/3 + 2*h**2 - 112. Let n(i) = 0. Calculate i.
-3, 2, 6
Let o(y) be the second derivative of -1/3*y**2 + 0 - 1/6*y**3 - 1/36*y**4 + 4*y. Factor o(c).
-(c + 1)*(c + 2)/3
Find w such that 356*w - 835*w**2 - 149*w**2 - 2 + 48*w**3 - 58 + 127*w = 0.
1/4, 20
Suppose -13*c + 37*c + 20*c**4 + 13*c**5 - 14*c**2 - 28*c**3 - 9*c**5 - 6*c**2 = 0. What is c?
-6, -1, 0, 1
Let w(t) be the second derivative of -t**5/10 + 13*t**4/12 + 10*t**3/3 - t**2/2 + 29*t. Let y(q) be the first derivative of w(q). Solve y(v) = 0 for v.
-2/3, 5
Let a(t) be the second derivative of 2/15*t**6 + 0*t**4 + 6*t - 1/10*t**5 + 0*t**2 + 0 - 1/21*t**7 + 0*t**3. Solve a(s) = 0 f