5*v**2/2 - v - 6. Factor f(k).
(k - 5)*(3*k + 1)
Determine p, given that -2 - 361/2*p**2 - 38*p = 0.
-2/19
Let d(w) = 3*w**4 + 39*w**3 - 36*w**2 - 120*w + 114. Let b(z) = z**4 + 10*z**3 - 9*z**2 - 30*z + 28. Let y(i) = 9*b(i) - 2*d(i). Factor y(c).
3*(c - 1)**2*(c + 2)*(c + 4)
Suppose 12 - 3 = 3*g. Find n, given that -n**2 + n - n**3 - 3*n**g + 1 + 3*n**3 = 0.
-1, 1
Let v(n) = 9*n + 78. Let o be v(-8). Suppose x = o*x. Suppose x - 4/13*g + 2/13*g**2 = 0. Calculate g.
0, 2
Suppose -5*k + 168 = 2*i + 159, 4*i = 5*k + 3. Suppose -2/7*p**3 - 2/7*p**i + 0 + 4/7*p = 0. What is p?
-2, 0, 1
Let i be ((-40)/180)/((-8)/6). Let q(l) be the third derivative of 0*l - 1/120*l**5 + i*l**3 + 1/48*l**4 + 4*l**2 + 0. Determine a so that q(a) = 0.
-1, 2
Let r be (3 - 2)*(-3 + (2 - 3)). Let s(d) = -3*d**3 - 8*d**2 + 14*d - 14. Let t(z) = z**3 + 3*z**2 - 5*z + 5. Let u(k) = r*s(k) - 11*t(k). Factor u(q).
(q - 1)**2*(q + 1)
Factor -18 + 78*n - 9*n**2 - 241*n + 40*n + 40*n.
-(n + 9)*(9*n + 2)
Factor -68*x**2 + 112*x + 23*x**2 + 24*x**2 + 116 + 17*x**2.
-4*(x - 29)*(x + 1)
Let s(y) be the third derivative of 0 - 5/24*y**4 + 1/24*y**6 + 0*y - 1/2*y**7 + 7*y**2 + 23/12*y**5 - 5/3*y**3. Solve s(i) = 0.
-1, -2/7, 1/3, 1
Let o(q) be the third derivative of q**5/70 - 6*q**4/7 - 52*q**3/7 + 77*q**2. Factor o(n).
6*(n - 26)*(n + 2)/7
Let f(a) be the first derivative of -8*a**5/15 - 19*a**4/6 - 2*a**3/3 + 34*a**2/3 - 16*a/3 + 37. Suppose f(z) = 0. What is z?
-4, -2, 1/4, 1
Let a(l) = -8*l**3 + 9*l**2 - l + 5. Let r(j) = -j**3 + j + 1. Let c(y) = a(y) - 5*r(y). Factor c(k).
-3*k*(k - 2)*(k - 1)
Let u(t) be the third derivative of -1/210*t**7 + 0*t**3 - 24*t**2 - 1/60*t**6 + 0 + 0*t + 0*t**4 - 1/60*t**5. Factor u(x).
-x**2*(x + 1)**2
Let t(h) be the third derivative of -14*h**2 + 0*h**4 - 1/300*h**6 + 0*h + 1/525*h**7 + 0*h**3 + 1/840*h**8 - 1/150*h**5 + 0. Factor t(q).
2*q**2*(q - 1)*(q + 1)**2/5
Let j(d) be the second derivative of d**4/4 - 28*d**3 + 1176*d**2 + 48*d. Suppose j(h) = 0. Calculate h.
28
Let x be (1*(-1)/4)/((-20)/2160*9). Factor 84/5*s**2 - 36/5*s**x + 16/5 - 64/5*s.
-4*(s - 1)*(3*s - 2)**2/5
Let o(m) be the first derivative of 1 - 4*m**3 - 3/4*m**4 + 0*m - 6*m**2. Suppose o(d) = 0. Calculate d.
-2, 0
Let s(j) be the first derivative of 2*j**5/35 - 6*j**4/7 + 24*j**3/7 - 16. Factor s(d).
2*d**2*(d - 6)**2/7
Factor 60*n**4 + 16*n**5 + 19*n**4 + 8*n**4 - 45*n**5 - 6*n**3 - 52*n**5.
-3*n**3*(n - 1)*(27*n - 2)
Let u(a) be the third derivative of 11/180*a**5 - 5/36*a**4 + 0*a - 1/360*a**6 + 0*a**3 + 0 - 38*a**2. Suppose u(i) = 0. What is i?
0, 1, 10
Factor 10/3*n**3 + 0 + 0*n + 2/3*n**2 + 8/3*n**4.
2*n**2*(n + 1)*(4*n + 1)/3
Factor 16*v - 2*v**4 + 4 + 2 - 7 + 12*v**2 + 7.
-2*(v - 3)*(v + 1)**3
Suppose n - 10 = -3*b, 0 = 3*n + 5*b - 5 - 9. Let o(d) = 6*d**4 - 3*d - 3. Let v(k) = 5*k**4 - k**2 - 2*k - 2. Let p(a) = n*o(a) + 3*v(a). Factor p(s).
3*s**2*(s - 1)*(s + 1)
Let b = -3 + 6. Suppose -6 = -4*o + 2*h, -b*h + 12 = 3*o - 2*h. Factor -11 + o*q**3 + 0*q**3 + 3*q**4 + 11 - 6*q**2.
3*q**2*(q - 1)*(q + 2)
Let m(d) = 160*d + 480. Let u(a) = -2*a. Let f(p) = -m(p) - 40*u(p). Let t(i) = i**2 + 82*i + 481. Let y(x) = 3*f(x) + 4*t(x). Factor y(o).
4*(o + 11)**2
Let r(w) be the first derivative of -w**6/12 + w**5/10 + w**4/4 + 89. Factor r(m).
-m**3*(m - 2)*(m + 1)/2
Let o(q) = 15*q**3 + 48*q**2 + 69*q + 30. Let l(k) = -13*k**3 - 49*k**2 - 68*k - 28. Let c(y) = 3*l(y) + 2*o(y). Factor c(t).
-3*(t + 1)*(t + 4)*(3*t + 2)
Let h(n) = 5*n**3 - 11*n**2 - 8*n + 56. Let r(i) = -i**3 - i**2 + i + 1. Let x(w) = -h(w) - 4*r(w). Factor x(t).
-(t - 15)*(t - 2)*(t + 2)
Suppose -v + 3 = -0*v. Solve 51 - 3*s**2 + 4*s**2 + 32*s + 13 + v*s**2 = 0.
-4
Let a be (-24)/5*(-4)/(112/42). Determine q, given that -8/5 - 8*q**2 - 12/5*q**3 - a*q = 0.
-2, -1, -1/3
Suppose -6*f + 19*f - 39 = 0. Determine a so that f + 2*a**4 - 7*a**4 - 3 = 0.
0
Let c(j) = j**3 + 15*j**2 + 2. Let a be c(-15). Solve 7*n - 6 + 11*n - n**2 - 4 + 5*n**a = 0 for n.
-5, 1/2
Let c(h) be the first derivative of 41 + 5/12*h**3 + 1/16*h**4 + h**2 + h. Determine u, given that c(u) = 0.
-2, -1
Let d be 10/(-2) - 248/(-31). Find j such that -10*j**d + 60*j + 6*j**4 + 4*j**2 - 60*j = 0.
0, 2/3, 1
Let d be 4/(-6) - 5/(-3). Suppose -d = -2*s + 3. Suppose 4*b + 9 - 6*b**2 + 2*b**s - 1 = 0. Calculate b.
-1, 2
Let z(h) be the first derivative of -h**3/3 - 19*h**2 + 80*h + 56. Solve z(p) = 0.
-40, 2
Let r(h) be the third derivative of 1/84*h**8 + 0 + 0*h + 0*h**4 + 0*h**5 + 0*h**3 + 13*h**2 + 1/30*h**6 + 4/105*h**7. Factor r(b).
4*b**3*(b + 1)**2
Let g = -699/4 - -176. Solve g*t**5 + 0*t - 1/2*t**2 + 1/2*t**4 + 0 - 5/4*t**3 = 0 for t.
-1, -2/5, 0, 1
Let b(f) = -f**2 - 8*f + 9. Let q be (4 + -5)*(-27)/(-3). Let n be b(q). Find c, given that 2/3*c + 1/3*c**4 - 2/3*c**3 + n*c**2 - 1/3 = 0.
-1, 1
Factor 3*l**2 - 7*l**2 - 2*l + 4*l**4 + 2*l**5 + 12 - 12.
2*l*(l - 1)*(l + 1)**3
Let c(u) be the third derivative of 7*u**6/480 - 103*u**5/240 + 17*u**4/24 + 7*u**3/6 - 2*u**2 + u. Factor c(w).
(w - 14)*(w - 1)*(7*w + 2)/4
Let i be 132/54 - (104/18)/13. Suppose -26/3*t**3 + 364/3*t - 1/3*t**4 - 47*t**i - 196/3 = 0. Calculate t.
-14, 1
Let x = -89345/6 - -14895. Factor 1/6*m**2 + x + 5/3*m.
(m + 5)**2/6
Suppose -909*x + 26 = -896*x. Let u(f) be the second derivative of 0*f**3 - 1/15*f**4 + 2/5*f**x + 0 - 4*f. Find s, given that u(s) = 0.
-1, 1
Let m(k) = -4*k**4 - 17*k**3 - 66*k**2 + 3*k - 3. Let s(z) = -z**4 + 3*z**3 + z**2 + z - 1. Let t(n) = 4*m(n) - 12*s(n). Factor t(g).
-4*g**2*(g + 3)*(g + 23)
Let v(r) be the third derivative of 1/10*r**6 - 1/2*r**7 + 0*r + 7*r**2 + 0 - 1/2*r**4 - 2*r**3 + 39/20*r**5. Suppose v(t) = 0. Calculate t.
-1, -2/7, 2/5, 1
Let p be 1*27/(-3) + -1. Let d = p - -14. Factor -3*g**d + 0*g + 10*g**2 - g**2 + 6*g.
-3*g*(g - 2)*(g + 1)**2
Find d such that -18/5*d**3 + 8/5*d - 14/5*d**4 + 0 + 24/5*d**2 = 0.
-2, -2/7, 0, 1
Let s be 3/3*(-4 + 777). Let 3*t + 4*t**3 + s*t**2 - 785*t**2 + 5*t = 0. Calculate t.
0, 1, 2
Suppose 65 + 39 = 13*p. Let f(n) be the second derivative of 0 + 1/42*n**4 - 4/21*n**3 - p*n + 3/7*n**2. Factor f(l).
2*(l - 3)*(l - 1)/7
Let c(x) = x + 12. Let b = 22 + -31. Let a be c(b). Factor -15*h**2 - 2*h**2 + 4 + 25*h**5 + 24*h**4 - 6*h**2 + 31*h**4 + 19*h**a - 8*h.
(h + 1)**3*(5*h - 2)**2
Let -66/13 - 2/13*j + 66/13*j**2 + 2/13*j**3 = 0. What is j?
-33, -1, 1
Suppose -4*r + 554 = 3*i, 538 = -r + 5*r - 5*i. Solve 59 + r + 4*w**2 - 18*w - 44*w + 6*w = 0.
7
Let l(u) be the first derivative of -5/3*u**3 - 23 - 45/2*u**2 - 40*u. Factor l(a).
-5*(a + 1)*(a + 8)
Suppose j + 18 = 4*j. Let a = j - 4. Find d such that 6*d**3 + 2*d**a + 6*d**4 + 0*d**3 + 2*d**3 = 0.
-1, -1/3, 0
Let b = -2653/5 - -531. Let c(o) be the first derivative of -2/5*o**3 - b*o + 1 - 3/5*o**2 - 1/10*o**4. Factor c(i).
-2*(i + 1)**3/5
Let l(j) be the second derivative of -18*j**3 - 3*j**4 - 23*j - 3/20*j**5 + 0 + 0*j**2. Factor l(t).
-3*t*(t + 6)**2
Suppose 8*b + 2*z - 33 = 3*b, 3*z = -5*b + 37. Suppose b = -6*q + 7*q. Find u such that -20*u**4 + 4*u**3 - 16*u**q + 56*u**2 + 8*u**3 + 4*u - 36*u**2 = 0.
-1, -1/4, 0, 1
Solve -93*f**3 + 180*f**3 - 90*f**3 - 1 + 3*f - 2 + 3*f**2 = 0.
-1, 1
Factor 32 - 11/4*p**4 + 14*p + 1/4*p**5 - 37/2*p**3 - 25*p**2.
(p - 16)*(p - 1)*(p + 2)**3/4
Let t(z) be the second derivative of z**6/30 + z**5/10 - 5*z**4/3 + 4*z**3 + 763*z. Factor t(v).
v*(v - 2)**2*(v + 6)
Let q(k) = -k**2 + 4*k + 58. Let m be q(9). Factor -3 - 208*b - 2116*b**2 - 160*b - m.
-4*(23*b + 2)**2
Let y = 569/1869 - 5/267. What is c in -2/7 - y*c**2 + 4/7*c = 0?
1
What is w in -36*w**3 - 50*w + 0 + 32/5*w**4 - 2/5*w**5 + 80*w**2 = 0?
0, 1, 5
Factor 1/2*d**3 - 34*d**2 + 578*d + 0.
d*(d - 34)**2/2
Let s = 23/6 - 11/3. Let z(q) be the first derivative of 1/16*q**4 - 1/2*q - 1/8*q**2 + 1 + s*q**3. Factor z(h).
(h - 1)*(h + 1)*(h + 2)/4
Suppose 0 = -17*u - 3957 + 4008. Factor 1/12 + 5/12*g - 5/12*g**u - 1/12*g**2.
-(g - 1)*(g + 1)*(5*g + 1)/12
Let d(w) be the third derivative of -w**7/490 + w**6/280 + 4*w**5/35 + 5*w**4/14 + 198*w**2. Suppose d(k) = 0. Calculate k.
-2, 0, 5
Let m(f) be the third derivative of -f**7/630 - f**6/120 - f**5/60 - f**4/12 - 2*f**2. Let y(c) be the second derivative of m(c). Factor y(z).
-2*(z + 1)*(2*z + 1)
Let x(h) = -h**3