/75 + 16*u**4/15 + 136*u**3/15 - 137*u**2. Factor j(k).
-4*(k - 34)*(k + 2)/5
Let c be (-74 + -7)*(-2 + 12/9). Determine j, given that 12 + 4*j**2 - 39*j - j**2 + c*j = 0.
-4, -1
Let u(m) be the second derivative of m**5/3 + 5*m**4/8 - 5*m**3/6 + 11*m**2/2 - 12*m. Let s(v) be the first derivative of u(v). Factor s(i).
5*(i + 1)*(4*i - 1)
Let l(d) = -2*d + 4*d + 6*d + 4. Let p(w) = w**2. Suppose 0 = 4*m - 4*i - 24, 5*i = -0*m - 3*m - 22. Let f(q) = m*l(q) + 4*p(q). Factor f(c).
4*(c + 1)**2
Suppose 2*f = -0 + 4. Let d(k) = -31*k**3 + 11*k - k - k**f - k**4 + k. Let h(i) = -6*i**3 + 2*i. Let u(z) = 2*d(z) - 11*h(z). Suppose u(t) = 0. What is t?
0, 1
Let y(o) be the third derivative of -3*o**5/20 + 107*o**4/8 + 18*o**3 - 106*o**2. Factor y(f).
-3*(f - 36)*(3*f + 1)
Determine c, given that 37*c**2 + 13*c + 24 + 59*c + 8*c**3 + 4*c - 3*c**3 - 2*c = 0.
-4, -3, -2/5
Let p(l) be the second derivative of l**7/42 + l**6/5 + 3*l**5/5 + 2*l**4/3 + 99*l. Find s, given that p(s) = 0.
-2, 0
Let y(c) = c**3 - 4*c**2 - c - 2. Let j be y(4). Let b = j + 10. Factor -5*q - 2*q - 2*q**3 + 4*q + q + b*q**2.
-2*q*(q - 1)**2
Solve 3/2*l**4 - 3/2*l**2 + 0 + 3/2*l**3 + 0*l - 3/2*l**5 = 0.
-1, 0, 1
Let y = 207 - 175. Suppose 5*d - 28 = 7. What is k in -y*k**2 - k - 20*k**3 + 6*k**3 - d*k = 0?
-2, -2/7, 0
Let a(s) be the first derivative of 0*s + 1/15*s**3 + 4 - 1/10*s**2. Determine q, given that a(q) = 0.
0, 1
Let f(o) be the second derivative of -o**4/66 - o**3/11 - 2*o**2/11 - 74*o + 1. Suppose f(n) = 0. What is n?
-2, -1
Let z(c) be the second derivative of 0 - 8*c + 1/4*c**5 + 1/6*c**6 - 5/12*c**4 + 0*c**2 - 5/6*c**3. Solve z(t) = 0.
-1, 0, 1
Let n = -64 - -73. Suppose n*m = 4*m + m. Factor m*g + 32/7*g**4 - 16/7*g**3 + 0 + 2/7*g**2.
2*g**2*(4*g - 1)**2/7
Let u(t) = -t**2 - 3*t - 10. Let p(q) = 2*q**2 + 5*q + 21. Suppose 0 = -5*o + 3*o - 2*c + 22, -3*o + 29 = c. Let n(j) = o*u(j) + 4*p(j). Factor n(r).
-(r + 1)*(r + 6)
Suppose 3*d + 6 = 3*c, 0 = -4*c - 4*d + 9*d + 13. Let h = c + 6. Factor 0*x**2 - 3/7*x**5 + 0 - 6/7*x**4 - 3/7*x**h + 0*x.
-3*x**3*(x + 1)**2/7
Let u(x) be the first derivative of x**3 - 141*x**2 + 6627*x + 125. Let u(b) = 0. What is b?
47
Let w(a) be the second derivative of a**8/3360 - a**6/360 - 7*a**4/12 - 15*a. Let h(o) be the third derivative of w(o). Determine u so that h(u) = 0.
-1, 0, 1
Let p(h) be the third derivative of h**6/30 - 3*h**5/5 + 4*h**4/3 - 41*h**2. Factor p(o).
4*o*(o - 8)*(o - 1)
Determine i so that -6639*i**3 - 78*i**2 - 6650*i**3 + 168*i + 13286*i**3 = 0.
-28, 0, 2
Let r(x) = -36*x**3 - x**2. Let g be r(1). Let n = -35 - g. Factor 2*h**3 - 1 - 6*h**n - 18*h**4 - 6*h**3 + 0*h**3 + 17*h**4 - 4*h.
-(h + 1)**4
Let k(t) = -t**3 - 9*t**2 + 2. Let f(r) = -2*r + 1. Let q be f(5). Let j be k(q). Let -5*y**2 + 17*y**j - 3*y**5 + 16*y**4 - 12*y**4 - 13*y**4 = 0. What is y?
-2, 0, 1
Factor -8/7 + 5/7*u**2 + 1/7*u**3 + 2/7*u.
(u - 1)*(u + 2)*(u + 4)/7
Let g be (2/160)/((-42)/(-350)). Let z(b) be the second derivative of 0*b**2 + 0*b**3 + 8*b + 0 - g*b**4. What is t in z(t) = 0?
0
Suppose 0 = -z - j - 0*j + 9, 5*j - 33 = -2*z. Solve 5*m**3 - 10*m + 5*m**3 + 41*m**4 - 46*m**z + 5*m**2 = 0.
-1, 0, 1, 2
Let c(i) be the second derivative of i**7/70 + 3*i**6/50 - 21*i**5/100 - 7*i**4/20 + 9*i**3/5 - 12*i**2/5 + 153*i. Find t, given that c(t) = 0.
-4, -2, 1
Suppose 3*i + 18 = 30. Factor -3 + 1 + 12*y**2 + 2 - 16*y**3 + i*y**4.
4*y**2*(y - 3)*(y - 1)
Let u = -72 - -91. Let s(p) = p**3 - 20*p**2 + 19*p + 3. Let z be s(u). Factor -1/2*y**2 + 1/2 - 1/2*y**z + 1/2*y.
-(y - 1)*(y + 1)**2/2
Let s(y) be the first derivative of -7/34*y**4 - 6/17*y**3 - 4/85*y**5 + 3 - 5/17*y**2 - 2/17*y. Let s(c) = 0. What is c?
-1, -1/2
Find f, given that -37*f**3 - 29*f**3 + f**4 - 4*f**2 - 4*f + 67*f**3 = 0.
-2, -1, 0, 2
Factor 1 + 1/4*d**2 - 5/4*d.
(d - 4)*(d - 1)/4
Let h(f) be the first derivative of -1/48*f**3 - 11 - 8*f + 0*f**2 + 1/96*f**4. Let a(t) be the first derivative of h(t). Factor a(p).
p*(p - 1)/8
Suppose 2*f - 4 = 4*q - 24, 14 = 2*q - 3*f. Suppose -v + 4*u + 2 - 8 = 0, -14 = -q*v - 3*u. Factor 0*l - 1/2*l**v + 0.
-l**2/2
Suppose -2*x + 2*m = 10, 4 = 2*x - 5*m + 29. Let k(s) be the second derivative of 0 - 9*s + x*s**2 + 1/120*s**5 + 1/36*s**3 - 1/36*s**4. Solve k(q) = 0.
0, 1
Find m such that 6/5*m**3 + 4/5*m**2 + 2/5*m**4 + 0*m + 0 = 0.
-2, -1, 0
Let l(g) be the third derivative of g**6/30 + 3*g**5/50 - g**4/60 + 345*g**2. Find h, given that l(h) = 0.
-1, 0, 1/10
Let u be 5/(-1 - 4)*24/(-156). Determine f, given that 4/13*f**2 + 6/13*f**3 - u*f**4 + 16/13 - 24/13*f = 0.
-2, 1, 2
Let v be -5 + 630/77 - (-18)/(-11 + 5). Factor 0 - v*x**2 + 4/11*x.
-2*x*(x - 2)/11
Suppose -5*c + 73 = 13. Factor -7*a**2 - 15*a - a**2 + c + 11*a**2.
3*(a - 4)*(a - 1)
Factor -161*a**3 + 28*a**2 + 16 + 315*a**3 - 38*a - 160*a**3.
-2*(a - 1)**2*(3*a - 8)
Solve -256/15 + 2/15*m**3 - 12/5*m**2 + 64/5*m = 0.
2, 8
Let p(k) be the second derivative of -k - 2*k**2 + 0 - 1/3*k**3 - 4/15*k**5 - 4/15*k**6 + 7/12*k**4. Let n(a) be the first derivative of p(a). Factor n(w).
-2*(w + 1)*(4*w - 1)**2
Determine d so that 164*d - 107*d - 89*d - 100*d**3 + 136*d**2 - 88*d**4 = 0.
-2, 0, 4/11, 1/2
Let c(w) = -w**4 + 2*w**3 - w**2 - 4*w. Let m(b) = -b**4 + b**3 - b**2 - 3*b. Let x(k) = 3*c(k) - 4*m(k). Factor x(r).
r**2*(r + 1)**2
Let t(c) = -44*c**3 + 1764*c**2 - 3796*c - 2376. Let v(k) = 5*k**3 - 196*k**2 + 422*k + 264. Let w(g) = 3*t(g) + 28*v(g). Factor w(p).
4*(p - 22)*(p - 3)*(2*p + 1)
Let f(h) = -h + 2 + 5*h**2 - 4*h**2 + 0*h**2. Let b be f(0). Factor 5*n**4 - 3*n**4 - 2*n**b + n**3 - 3*n + n + n**3.
2*n*(n - 1)*(n + 1)**2
Let v be (3/(-48) + 2666/4128)/((-1)/(-8)). Determine k so that v + 4*k - 2/3*k**2 = 0.
-1, 7
Factor 33*y**2 - 72*y**4 + 7*y**2 - 24*y - 75*y**4 - 6*y**3 + 135*y**4 + 0*y**3 + 2*y**5.
2*y*(y - 6)*(y - 1)**2*(y + 2)
Let u(a) be the third derivative of a**8/63 - a**7/63 - 11*a**6/180 + a**5/18 + a**4/12 + 226*a**2. Determine r so that u(r) = 0.
-1, -3/8, 0, 1
Let q be (-81)/(-45) + (-1)/(-5). Let -6*m**q + 2*m + 4*m**4 + 18*m**2 - 5*m - m - 12*m**3 = 0. What is m?
0, 1
Let -34/11*o**4 + 18/11*o - 12/11*o**5 - 6/11*o**3 - 4/11 + 38/11*o**2 = 0. What is o?
-2, -1, 1/6, 1
Suppose 2/5*n**3 + 0*n**2 + 0 + 0*n + 1/5*n**4 - 1/5*n**5 = 0. Calculate n.
-1, 0, 2
Let c(j) be the first derivative of -5/12*j**4 - 10/3*j**2 + 0*j - 18 - 25/9*j**3. Find n, given that c(n) = 0.
-4, -1, 0
Suppose -4*t = 3*d + 10, 0 = 2*d + 17*t - 21*t - 20. What is h in -1/4*h**d + 0 - 5/4*h = 0?
-5, 0
Let t(q) = 3*q**2 - 104*q - 2884. Let w(j) = 5*j**2 - 209*j - 5776. Let y(g) = -7*t(g) + 4*w(g). Determine v so that y(v) = 0.
-54
Let i(d) be the third derivative of -5*d**8/112 - 11*d**7/42 + d**6/24 + 19*d**5/12 - 5*d**4/4 + 417*d**2. Suppose i(h) = 0. What is h?
-3, -2, 0, 1/3, 1
Let y(q) be the third derivative of -q**5/15 + 2*q**4/3 - 8*q**3/3 - 12*q**2 + 2*q. Factor y(r).
-4*(r - 2)**2
Let d(o) be the second derivative of 21*o**5/20 - o**4/6 - 14*o**3 + 4*o**2 + 19*o - 9. Find h, given that d(h) = 0.
-2, 2/21, 2
Let u(y) be the first derivative of 3 - 1/12*y**4 - 1/30*y**5 + 2/3*y**3 - 1/180*y**6 + 0*y**2 + 0*y. Let k(l) be the third derivative of u(l). Factor k(z).
-2*(z + 1)**2
Let o = 451/938 + 9/469. Let 0*z**2 + z - z**3 - o + 1/2*z**4 = 0. What is z?
-1, 1
Factor 490*a - 242*a**2 - 2*a**3 + 199 + 437 - 882.
-2*(a - 1)**2*(a + 123)
Suppose -5*h - 40 = -180. Let r = h - 28. Factor -2*y**2 + r*y**2 + 16*y + 6 - 13 - 25.
-2*(y - 4)**2
Let b be (-44)/(-7) + (52 - 58). Factor 0*v - b*v**5 + 2/7*v**4 + 2/7*v**3 - 2/7*v**2 + 0.
-2*v**2*(v - 1)**2*(v + 1)/7
Suppose -3*l = 3*p + 15, 4*p + 6 = -2. Let h be l + -1 + 3 + (-5)/(-4). Find y such that 0*y**2 - h*y**4 - 1/2*y + 1/2*y**3 + 1/4 = 0.
-1, 1
Let k(x) be the first derivative of 10 + 3*x**5 + 12*x - 3/2*x**4 - 15*x**3 - 6*x**2. Suppose k(b) = 0. What is b?
-1, 2/5, 2
Factor -2*l**3 - l**2 + 3/2 - 1/2*l**4 + 2*l.
-(l - 1)*(l + 1)**2*(l + 3)/2
Let w(o) = -o**4 - o**3 + o**2 - 1. Let n(y) = -y**5 - 12*y**4 - 51*y**3 + 291*y**2 - 341*y + 128. Let c(d) = 4*n(d) + 28*w(d). Factor c(i).
-4*(i - 1)**3*(i + 11)**2
Factor -128 - 59*c**3 + 148*c + 113*c**3 - 56*c + 92*c - 52*c**2 - 58*c**3.
-4*(c - 2)*(c - 1)*(c + 16)
Let z(q) be the second derivative of -1