et v be (2/(-6))/(2*(-1)/156). Factor 72 - 24*m**2 + 2*m + 26*m**2 - v*m.
2*(m - 6)**2
Determine z, given that 62*z**3 - 290/9*z**4 + 50/9*z**5 - 470/9*z**2 + 176/9*z - 8/3 = 0.
2/5, 1, 3
Let s(p) be the second derivative of 24*p + 0*p**2 + 0 + 11/60*p**6 + 1/21*p**7 + 0*p**4 + 0*p**3 - 3/40*p**5. Factor s(k).
k**3*(k + 3)*(4*k - 1)/2
Let i(z) be the second derivative of -z**8/448 + z**6/80 - z**4/32 - 3*z**2 + 13*z. Let u(y) be the first derivative of i(y). Find m such that u(m) = 0.
-1, 0, 1
Let w = 9259/5 + -1858. Let k = w - -129/20. Determine z, given that 7/8*z**3 - 7/8*z + 3/4*z**2 - 1/2*z**4 - k = 0.
-1, -1/4, 1, 2
Factor -2/3 - 17*q - 49/3*q**2.
-(q + 1)*(49*q + 2)/3
Let x(n) be the third derivative of 3*n**7/14 + 13*n**6/8 + 29*n**5/6 + 15*n**4/2 + 20*n**3/3 + 2*n**2 + 24*n. Suppose x(z) = 0. What is z?
-2, -1, -2/3
Let x(s) = 6*s**4 + 41*s**3 + 30*s**2 + 12*s + 34. Let p(k) = 2*k**4 + 14*k**3 + 10*k**2 + 4*k + 12. Let f(h) = -17*p(h) + 6*x(h). Let f(z) = 0. What is z?
-2, -1, 0
Let n be 1 + (5 - 288/54). Let -4/3 + 2/3*s**2 + 2*s - 2*s**3 + n*s**4 = 0. What is s?
-1, 1, 2
Let g(b) be the first derivative of -b**3/15 + 4*b/5 - 80. Factor g(l).
-(l - 2)*(l + 2)/5
Let r(n) be the third derivative of -n**7/210 + n**6/30 + n**5/20 - 7*n**4/12 + 4*n**3/3 + 23*n**2 - 4. Factor r(o).
-(o - 4)*(o - 1)**2*(o + 2)
Let p be -44 + 44 + (-4)/(-2)*1. Factor 6*v**3 - 2/3*v**4 + 32/3*v - 16*v**p + 0.
-2*v*(v - 4)**2*(v - 1)/3
Suppose 4/7*i**2 + 48/7 + 52/7*i = 0. What is i?
-12, -1
Let p(j) = -5*j**2 + 141*j - 2589. Let k(l) = -24*l**2 + 706*l - 12946. Let r(x) = -3*k(x) + 14*p(x). Suppose r(u) = 0. What is u?
36
Let s = 651/8 - 4485/56. What is n in 1/7*n**3 - n**2 - s + 15/7*n = 0?
1, 3
Let z(d) be the first derivative of -d**5/10 - d**4/2 - d**3/2 + d**2 + 2*d + 81. Factor z(i).
-(i - 1)*(i + 1)*(i + 2)**2/2
Let z be 5/(-1 - 7/(-2)). Let 40*o - 3 - 22 - 55 + 2*o**2 - 7*o**z = 0. Calculate o.
4
Let b(v) = -8*v - 4. Let i(t) = 7*t + 3. Let p(a) = 6*b(a) + 7*i(a). Let r be p(8). Factor y**2 + 4*y**r - 3*y**3 + 2*y**4 - 5*y**5 + y**4.
-y**2*(y - 1)**3
Let g(i) = -i**2 + 4*i + 1. Let s be g(3). Let p = 274 - 272. What is o in -8*o - s*o**2 + 6*o**p - 6*o**2 = 0?
-2, 0
Let s(h) = h**2 + h - 5. Let v(x) = -6 + 30 - 20 + x**2 - 2*x**2. Suppose -w = -0*w + 4. Let t(d) = w*s(d) - 5*v(d). Factor t(q).
q*(q - 4)
Let h(u) = 3*u**3 - u + 1. Let k = -10 + 11. Let y be h(k). Determine r, given that 0*r - 4*r**y + 3*r + 4*r**2 - 5*r + 2*r**3 = 0.
0, 1
Let t(y) be the second derivative of -y**4/12 - y**3/2 - y**2 - 32*y - 2. Factor t(u).
-(u + 1)*(u + 2)
Suppose 0 - 56 = -c. Suppose -59*l + c*l = 0. What is s in 0 - 2/7*s**2 + l*s = 0?
0
Suppose 8 = 3*s - 3*m - 19, 3*m = -3*s + 3. Let n = 7 - s. Factor -2/9*x**n + 8/9*x - 2/3.
-2*(x - 3)*(x - 1)/9
Let q = -7 - -11. Suppose 2*h - 2 = w + h, -4*w + q = -h. Factor 4*r**3 + 2*r**4 - 4*r**4 - w*r**2 + 12*r - 12*r.
-2*r**2*(r - 1)**2
Let m(k) = k**3 + 17*k**2 + 15*k + 6. Let u be m(-16). Factor 2*i + 4*i**2 - u*i**3 + 20*i**3 + 4*i.
-2*i*(i - 3)*(i + 1)
Let q(d) be the first derivative of -4*d**5/15 + 29*d**4/3 + 124*d**3/9 - 58*d**2/3 - 40*d - 69. Suppose q(v) = 0. What is v?
-1, 1, 30
Let l(b) be the first derivative of b**4/18 + 20*b**3/9 + 19*b**2/3 + 56*b/9 + 131. Factor l(x).
2*(x + 1)**2*(x + 28)/9
Let p = -107 - -111. Let u(f) be the second derivative of 0 + 3/2*f**2 + 1/10*f**6 - 2*f + 3/5*f**5 + 3/2*f**p + 2*f**3. Suppose u(y) = 0. Calculate y.
-1
Let g = -41/2 - 61/6. Let f = 31 + g. Factor f*c + 0 + 1/2*c**3 - 5/6*c**2.
c*(c - 1)*(3*c - 2)/6
Let z(c) = -8*c**5 + 14*c**4 - 2*c**3 - 2*c**2 + 2*c + 10. Let h(n) = 9*n**5 - 15*n**4 + 2*n**3 - n**2 - n - 9. Let o(t) = -6*h(t) - 7*z(t). Factor o(k).
2*(k - 2)**3*(k + 1)**2
Let t be (-2 - 54)/1 - (1 - 1). Let g be 16/(-18) - t/42. Solve -g*n**2 - 2/9*n - 2/9*n**3 + 0 = 0 for n.
-1, 0
Let n be 36/(-15) + (-4 - (-110)/25). Let m = 5 + n. Determine a, given that 2/3 - 2/3*a**2 + 1/3*a**m - 1/3*a = 0.
-1, 1, 2
Factor 15/2*d**2 - 1/2*d - 15/2 + 1/2*d**3.
(d - 1)*(d + 1)*(d + 15)/2
Determine l, given that -14/13*l**4 + 72/13 + 22/13*l**3 + 2/13*l**5 - 120/13*l + 38/13*l**2 = 0.
-2, 1, 2, 3
Let k(i) = -19*i**2 - 43*i - 13. Let a be -1 - (23 + -4) - 2. Let m(u) = -5*u**2 - 11*u - 3. Let x(z) = a*m(z) + 6*k(z). Solve x(w) = 0.
-3, -1
Let j = -2/4943 - -24731/39544. Factor -1/2*t - j + 1/8*t**2.
(t - 5)*(t + 1)/8
Let b = 50443/4 + -12378. Factor 2 - 25*k + 343/2*k**4 + 231/2*k**2 - b*k**3.
(2*k - 1)*(7*k - 2)**3/4
Let j(x) be the second derivative of -x**4/54 + x**2/9 - 122*x. Let j(b) = 0. What is b?
-1, 1
Let u(c) be the first derivative of c**6/120 - c**4/48 - 2*c - 5. Let d(m) be the first derivative of u(m). Factor d(i).
i**2*(i - 1)*(i + 1)/4
Solve -4/3*f**3 - 40/3 + 16/3*f**2 + 28/3*f = 0.
-2, 1, 5
Suppose -24 = 8*p - 12*p. Let i(s) = -9*s**2 - 12*s. Let v(l) = -l**2 - l. Let y(u) = p*v(u) - i(u). Factor y(g).
3*g*(g + 2)
Let h = 55 - 56. Let r be h + -2 + 5 + 350/45. What is a in 140/9*a**3 + 50/9*a**4 + r*a**2 + 0 + 16/9*a = 0?
-2, -2/5, 0
Let s(p) = -23*p**2 + 143*p - 112. Let x(c) = -15*c**2 + 95*c - 75. Let y(w) = -5*s(w) + 8*x(w). Solve y(h) = 0.
1, 8
Let n(m) be the third derivative of m**6/60 + m**5/5 + 5*m**4/12 + 118*m**2. Factor n(p).
2*p*(p + 1)*(p + 5)
Solve -12/5*i**2 + 0 + 0*i + 28/5*i**3 + 4/5*i**5 - 4*i**4 = 0 for i.
0, 1, 3
Let l(w) = -w - 4. Let k be l(-6). Let p be (8/(-10))/(k/(-5)). Solve -1 - 3 - 14*x + 0 + 8*x**p = 0 for x.
-1/4, 2
Let l = -74 + 75. Let x be -2*(l + (-50)/45). Find p, given that x*p + 0 - 2/9*p**2 = 0.
0, 1
Let x(i) = -2*i**3 - 4*i**2 - 42*i + 160. Let f(j) = -6*j**3 - 7*j**2 - 81*j + 320. Let p(u) = -2*f(u) + 5*x(u). Factor p(k).
2*(k - 4)**2*(k + 5)
Let y(x) = -x**3 - x**2 - x. Let z be y(-1). Let d be 1 + z - 0/6. Factor d - 5*k**3 - 2*k**3 + 4*k - 2*k**4 + k**3 + 2*k**3.
-2*(k - 1)*(k + 1)**3
Let n(u) be the third derivative of u**8/30240 + u**7/7560 - u**6/540 + 3*u**5/10 - 15*u**2. Let k(h) be the third derivative of n(h). What is o in k(o) = 0?
-2, 1
Let t = -145 + 147. Let i(k) be the first derivative of -8/7*k**2 + 8/7*k - t - 10/21*k**3. Factor i(a).
-2*(a + 2)*(5*a - 2)/7
Let p(q) = -26*q + 134. Let f be p(5). Let j(r) be the second derivative of 0 - 5/33*r**f + 6/11*r**2 + 1/33*r**3 + 5*r + 3/110*r**5. Let j(n) = 0. What is n?
-2/3, 1, 3
Let l(q) = q + 7. Let s be l(-4). Find a, given that 5*a**5 + 7*a**3 - 2*a**5 - 3*a**2 - 9*a**4 + 2*a**s = 0.
0, 1
Let f(u) = 5*u**3 + 59*u**2 + 90*u - 8. Let r(p) = -5*p**3 - 60*p**2 - 90*p + 10. Let j(z) = 5*f(z) + 4*r(z). Factor j(x).
5*x*(x + 2)*(x + 9)
Let a be (-1422)/(-63) + -16 + 4 + -10. Find x such that 24/7*x - a*x**2 - 20/7 = 0.
1, 5
Factor 0 - 4*g + g**3 - g**2 + 1/4*g**4.
g*(g - 2)*(g + 2)*(g + 4)/4
Let x(r) be the second derivative of -r**4/3 - r**3/2 + r**2/2 - r - 1. Let x(o) = 0. What is o?
-1, 1/4
Let x be 180/(-22) + (-2)/(-11). Let h be (-3)/(-12) - 14/x. Let -z**2 - 4 - 2*z + 10*z + h*z**2 - 5*z**2 = 0. Calculate z.
1
Let w(j) = -11*j**3 + 25*j**2 - 9*j - 51. Let f(l) = -l**3 + l - 1. Let s(g) = 6*f(g) - w(g). Factor s(r).
5*(r - 3)**2*(r + 1)
Let n = -23 + 33. Factor n*b + 3*b**2 + 9*b - 3*b**3 - 22*b + 3*b**2.
-3*b*(b - 1)**2
Let p(f) = -f**3 - 13*f**2 - 12*f + 8. Let l be p(-12). Factor 4*r**5 + 8*r**2 - l*r**4 - r - 3*r + 3*r - 3*r.
4*r*(r - 1)**3*(r + 1)
Let a(t) = 3*t**2 - 4*t - 3. Let d(j) = -2*j**2 + 3 - j + 5*j + 0. Suppose -8 = -0*p - 2*p. Let s(k) = p*d(k) + 3*a(k). Factor s(h).
(h + 1)*(h + 3)
Let l(g) be the third derivative of -1/45*g**5 + 2/315*g**7 + 1/18*g**4 - 1/1008*g**8 + 0*g - 6*g**2 + 0*g**3 + 0 - 1/120*g**6. Suppose l(i) = 0. What is i?
-1, 0, 1, 2
Let d(f) be the third derivative of -f**6/120 + f**5/60 + f**4/24 - 9*f**2. Let v(s) = -5*s**3 + 6*s**2 + 3*s. Let h(u) = -12*d(u) + 3*v(u). Factor h(n).
-3*n*(n - 1)**2
Let n = 95 + -90. Let r(w) = 6*w**2 - 36*w + 22. Let t(u) = 4*u**2 - 24*u + 15. Let f(z) = n*r(z) - 8*t(z). Determine q so that f(q) = 0.
1, 5
Let a be (10/12)/(320/96). Factor 0*i**2 - 1/4*i**4 + 1/2*i**3 + a - 1/2*i.
-(i - 1)**3*(i + 1)/4
Let y(n) be the third derivative of -n**7/1050 - n**6/150 + n**5/150 + n**4/10 + 3*n**3/2 + 9*n**2. Let r(b) be the first derivative of y(b). Factor r(d).
-4*(d - 1)*(d + 1)*(d + 3)/5
Le