 + 16*d**2 + 2/3*d**3 + 0*d + 0. Let u(l) = 0. Calculate l.
-6, 1
Let n(w) = w**3 + 15*w**2 + 6*w. Let f be n(0). Factor 21/2*o**3 + f + 27/2*o**2 + 3*o.
3*o*(o + 1)*(7*o + 2)/2
Let f(c) be the third derivative of -c**8/336 - c**7/42 - c**6/18 - c**3 - 2*c**2. Let j(z) be the first derivative of f(z). Determine i so that j(i) = 0.
-2, 0
Let n be (3*(-8)/12)/(-1). Suppose -n*j = -2*t + 6, -5*j + 4 = -j. Determine c so that -t*c**2 - c + 9*c - 5 + 1 = 0.
1
Let c(u) be the first derivative of -2 + 12/5*u**2 - 2/25*u**5 - 26/15*u**3 - 8/5*u + 3/5*u**4. Factor c(k).
-2*(k - 2)**2*(k - 1)**2/5
Let c = 5011 + -5011. Factor 10/3*w**2 - 4/3*w + 2/3*w**4 + c - 8/3*w**3.
2*w*(w - 2)*(w - 1)**2/3
Suppose -3 - 5 = -2*h, 4*h = -r + 21. Let d(i) = 11*i**2 + 50*i + 139. Let j(q) = -7*q**2 - 33*q - 93. Let s(y) = r*d(y) + 8*j(y). What is u in s(u) = 0?
-7
Let i(q) be the first derivative of 5*q**4/12 + 8*q**3/9 + q**2/6 - 2*q/3 - 75. Factor i(a).
(a + 1)**2*(5*a - 2)/3
Let a(d) be the second derivative of d**6/15 - d**5/10 - d**4/3 + 151*d. Suppose a(o) = 0. What is o?
-1, 0, 2
Let v(o) = -7*o**3 + 45*o**2 + 7*o - 51. Let d(t) = 13*t**3 - 91*t**2 - 13*t + 101. Let w(y) = -3*d(y) - 5*v(y). Find n such that w(n) = 0.
-1, 1, 12
Let k(x) be the third derivative of 5*x**6/72 - 41*x**5/18 + 215*x**4/18 - 140*x**3/9 + 30*x**2 + 3. Factor k(c).
5*(c - 14)*(c - 2)*(5*c - 2)/3
Let o(q) be the second derivative of q**6/24 + q**5/6 - 9*q**2 - 22*q. Let w(s) be the first derivative of o(s). Factor w(l).
5*l**2*(l + 2)
Let n = -116 + 108. Let v be (-375)/(-30)*n/(-70). Find o such that 2/7*o**4 + 0 - 4/7*o - 8/7*o**3 + v*o**2 = 0.
0, 1, 2
Let d = -3673 + 3673. Solve 0 + 1/7*y**3 - 1/7*y + d*y**2 = 0 for y.
-1, 0, 1
Let i(y) be the second derivative of y**5/100 + 15*y**4/4 + 1125*y**3/2 + 84375*y**2/2 - 124*y. Factor i(c).
(c + 75)**3/5
Determine k so that 31*k**2 - 570*k + 9503 + 31*k**2 - 57*k**2 + 6742 = 0.
57
Let j be 4/6 + (-978)/1467. Suppose j*w + 8/9*w**2 + 4/9*w**5 + 0 + 20/9*w**3 + 16/9*w**4 = 0. What is w?
-2, -1, 0
Let j(y) be the second derivative of 3*y**5/100 + 11*y**4/10 + 2*y + 1. Factor j(m).
3*m**2*(m + 22)/5
Let g be ((-2)/(-15))/(6 + (-319)/55). Factor -g*n**2 - 8/3*n - 8/3.
-2*(n + 2)**2/3
Let x(a) be the second derivative of 0 + 2/3*a**3 + 0*a**2 + 1/3*a**4 - 11*a. Factor x(i).
4*i*(i + 1)
Let d(a) be the second derivative of -a**6/10 + 183*a**5/20 - 1017*a**4/4 + 2639*a**3/2 - 2523*a**2 + 577*a. Factor d(v).
-3*(v - 29)**2*(v - 2)*(v - 1)
Let l(z) = 16*z**2 - 27*z - 90. Let s(y) = -11*y**2 + 18*y + 60. Let x(w) = 5*l(w) + 7*s(w). Suppose x(o) = 0. Calculate o.
-2, 5
Let g be 20/45*((-459)/6)/(-17). Factor 1/2*u**g - 9/2 - 4*u.
(u - 9)*(u + 1)/2
Let y(b) be the first derivative of -1/5*b**2 + 2/15*b**3 + 0*b + 8. Let y(m) = 0. What is m?
0, 1
Suppose 9361 = 4*m + 2141. Determine q so that -462 + 462 + 20*q**3 + m*q**5 + 380*q**4 = 0.
-2/19, 0
Let w(k) = k**2 - k - 418. Let j be w(-20). Factor 0 - 8/3*r + 2/3*r**j.
2*r*(r - 4)/3
Let z be 18/(-5) - (1*-10)/((-580)/(-232)). Factor 2*d - z*d**2 - 2/5*d**3 - 6/5.
-2*(d - 1)**2*(d + 3)/5
Let k(v) be the first derivative of -v**4/4 + v**3/2 + 11*v**2/4 - 3*v - 62. Factor k(u).
-(u - 3)*(u + 2)*(2*u - 1)/2
Let n = 90 + 137. Let r = n - 227. Factor 4/9*z**2 + r*z + 0 - 2/9*z**4 + 2/9*z**3.
-2*z**2*(z - 2)*(z + 1)/9
Let l be ((-30)/(-40) - (-15)/(-12))/((-1)/49). Factor -21*t + 9/2 + l*t**2.
(7*t - 3)**2/2
Factor -29*a**2 + 13*a**2 - 40*a**2 + 4*a**3.
4*a**2*(a - 14)
Let j be 12/(-18)*60/(-400). Factor 3/10*l - 2/5 + j*l**2.
(l - 1)*(l + 4)/10
Let h be (-328)/574 - -1*(-120)/(-63). Factor 2/9*b**2 + 2 + h*b.
2*(b + 3)**2/9
Determine d so that 0 + 3*d**4 - 36/5*d - 3/5*d**5 + 3/5*d**3 - 51/5*d**2 = 0.
-1, 0, 3, 4
Let k(n) be the third derivative of -n**5/180 + n**4/6 - 2*n**2 - 12. Factor k(i).
-i*(i - 12)/3
Factor 26/3*l + 24 + 2/3*l**2.
2*(l + 4)*(l + 9)/3
Let y(g) be the third derivative of g**5/20 - 5*g**4/8 + 3*g**3 - 334*g**2. Determine j, given that y(j) = 0.
2, 3
Let 4*i**4 + 8*i**2 - 9*i**3 - 5/2*i - 1/2*i**5 + 0 = 0. What is i?
0, 1, 5
Factor 3 - 12/7*n**3 - 75/7*n**2 + 66/7*n.
-3*(n - 1)*(n + 7)*(4*n + 1)/7
Let p = 859 + -854. Let t(r) be the first derivative of -r + 2/3*r**3 + p - 1/6*r**6 - 1/5*r**5 + 1/2*r**4 - 1/2*r**2. Determine o so that t(o) = 0.
-1, 1
Suppose 111*t + 472 = 694. Factor 1/2*v**3 + 0 - 1/2*v - 1/4*v**4 + 1/4*v**t.
-v*(v - 2)*(v - 1)*(v + 1)/4
Let j(h) be the third derivative of 1/165*h**5 + 0*h**4 + 0*h + 0*h**3 - 1/1155*h**7 - 1/660*h**6 + 0 - 16*h**2. Factor j(y).
-2*y**2*(y - 1)*(y + 2)/11
Let n = 1121/7 - 159. Suppose 6*s - s - 12 = 4*f, 5*s - 14 = 3*f. Suppose 2/7*k**f + 8/7*k + n = 0. Calculate k.
-2
Let p(a) be the first derivative of 2*a**5/15 + 23*a**4/12 + 7*a**3/3 + 562. Factor p(b).
b**2*(b + 1)*(2*b + 21)/3
Let l(g) be the second derivative of -2*g**5 + 35*g**4/12 + 5*g**3/6 + 26*g - 1. Find u, given that l(u) = 0.
-1/8, 0, 1
Let g be 11/(-3) - 0 - (-226 + 221). Factor -2/3*u**2 - g*u - 2/3.
-2*(u + 1)**2/3
Let a(g) be the third derivative of g**6/21 + 37*g**5/105 + 2*g**4/3 - 8*g**3/7 + 17*g**2 - 2*g. Find s such that a(s) = 0.
-2, 3/10
Suppose 10*x = 4*x + 24. Let j be 5/(-4)*(-11 + 7). Determine c, given that x*c**j + c**4 + 2*c**3 + 3*c**4 - 10*c**4 = 0.
0, 1/2, 1
Let b(s) be the second derivative of s**4/18 + 19*s**3/9 + 20*s**2 + 2*s + 34. Factor b(x).
2*(x + 4)*(x + 15)/3
Suppose 0 = -b - 0*b + 8. Suppose 20 = -4*x + b*x. Determine m, given that 7*m**x + 2*m**3 + 3*m**5 - 8*m**4 - 4*m**5 = 0.
0, 1/3, 1
Solve 95/2*g**3 - 4 - 25/2*g**4 + 26*g - 57*g**2 = 0.
2/5, 1, 2
Let q(g) be the first derivative of -g**2 - 11 - 2/9*g**3 - 4/3*g. Solve q(f) = 0.
-2, -1
Let a(m) = -21*m**3 + m**2 + m + 1. Let s be a(-1). Let h be (4/3)/(6/9). Factor 2*j + s*j - 5 - 3 + 14*j**h.
2*(j + 2)*(7*j - 2)
Let m = -17 - -22. Find a such that -112 + 5*a**4 - m*a**2 + 112 = 0.
-1, 0, 1
Let s be (-2)/(-4)*19/((-1729)/(-780)). Factor 15/7*u**4 + s*u**2 - 15/7*u - 3/7*u**5 - 30/7*u**3 + 3/7.
-3*(u - 1)**5/7
Let i(l) be the first derivative of 5*l**4/48 + 5*l**3/24 - 2*l - 23. Let t(w) be the first derivative of i(w). Find y, given that t(y) = 0.
-1, 0
Let m(i) be the third derivative of 0 + 0*i**3 + 4/105*i**7 - 2/15*i**5 + 1/6*i**4 - 1/30*i**6 + 0*i + 3*i**2. Factor m(s).
4*s*(s - 1)*(s + 1)*(2*s - 1)
Let x = -1098 - -5492/5. Suppose -5*d + 3*j = -6, 9 + 15 = 4*d + 4*j. Factor x*s**d + 0 - 1/5*s**2 - 2/5*s + 1/5*s**4.
s*(s - 1)*(s + 1)*(s + 2)/5
Let a(g) be the first derivative of 3*g**2 + 0*g - 4/3*g**3 + 1/6*g**4 - 8. Find r, given that a(r) = 0.
0, 3
Let i(h) be the second derivative of 0 - 1/10*h**5 + 1/18*h**6 + 2*h - 1/2*h**2 - 1/126*h**7 - 1/18*h**4 + 7/18*h**3. Factor i(u).
-(u - 3)*(u - 1)**3*(u + 1)/3
Let v(h) be the second derivative of 5*h**7/42 - 2*h**6/3 + h**5/2 + 5*h**4/3 - 5*h**3/2 - 2*h + 2. Factor v(d).
5*d*(d - 3)*(d - 1)**2*(d + 1)
Let i(v) be the third derivative of -v**5/90 + v**4/9 + 5*v**3/9 + 10*v**2 - 7*v. Factor i(j).
-2*(j - 5)*(j + 1)/3
Find d, given that -12 + 2/9*d**2 - 106/9*d = 0.
-1, 54
Let h(o) = o**3 + o - 1. Let x be h(1). Let m be (-1 - x)/(2/(-3)). Find v, given that -3*v - m - 2*v**3 + v**5 + 4*v + 3 = 0.
-1, 0, 1
Solve 3*o**4 - 66*o**3 - 13*o**4 + 1176*o**2 + 32 - 24*o - 1288*o**2 = 0.
-4, -2, -1, 2/5
Let p(l) = -l**5 + 16*l**4 - 21*l**3 - 3*l**2 + 3*l + 3. Let a(y) = 16*y**4 - 20*y**3 - 2*y**2 + 2*y + 2. Let i(t) = -3*a(t) + 2*p(t). Factor i(u).
-2*u**3*(u - 1)*(u + 9)
Let s(d) be the first derivative of 3*d + 0*d**2 + 1/48*d**4 - 1/24*d**3 - 6. Let z(x) be the first derivative of s(x). Find h, given that z(h) = 0.
0, 1
Let y(h) be the first derivative of h**6/39 + 2*h**5/65 - 5*h**4/26 - 10*h**3/39 + 4*h**2/13 + 8*h/13 + 368. Solve y(p) = 0 for p.
-2, -1, 1, 2
Let p(t) = -4*t**2 - 14 + 43 - 11 - 20. Let c(d) = 3*d**2 + d + 1. Suppose -10 = -k - 0*k + x, 0 = 5*x + 20. Let r(w) = k*c(w) + 5*p(w). Factor r(h).
-2*(h - 2)*(h - 1)
Let z(p) = 4*p**3 - 31*p**2 + 199*p. Let c(a) = -5*a**3 + 32*a**2 - 200*a. Let r(t) = 3*c(t) + 4*z(t). Let r(w) = 0. What is w?
0, 14
Solve 223*m**4 + 7*m - 267*m**4 + 48*m**5 + m - 104*m**3 - 4*m**2 = 0.
-1, -1/3, 0, 1/4, 2
Suppose 6 = 45*t - 43*t. Let r(k) be the second derivative of 0 - 1/6*k**4 + 1/15*k**5 - 4/9*k**t