 2)**4/2
Let j = -2644793/32767 - -4/4681. Let a = 81 + j. Factor a*z + 0 + 4/7*z**2.
2*z*(2*z + 1)/7
Let m be (56/490)/((-1)/(-5)). Factor -m - 6/7*k - 2/7*k**2.
-2*(k + 1)*(k + 2)/7
Determine g so that 10*g - 11*g + 2*g + g**3 + 2*g**2 = 0.
-1, 0
Let x(s) be the first derivative of s**7/945 + s**6/540 - s**5/540 - 2*s**3/3 - 2. Let u(i) be the third derivative of x(i). Factor u(q).
2*q*(q + 1)*(4*q - 1)/9
Let b be ((-3)/9)/((-2)/18). Factor 2*z**5 + z**2 + 7*z**3 - z**b + 6*z**4 - 4*z**2 + 5*z**2.
2*z**2*(z + 1)**3
Solve 5/2*g + 25/4 + 1/4*g**2 = 0.
-5
Let p(r) be the second derivative of -1/80*r**5 + 1/24*r**3 - 3*r + 0 - 1/48*r**4 + 1/8*r**2. Factor p(i).
-(i - 1)*(i + 1)**2/4
Let k be (8/3 - (-4)/(-6)) + -2. Let h(b) be the second derivative of 0*b**4 - 1/40*b**5 + 0 - 2*b + k*b**2 + 1/12*b**3. What is s in h(s) = 0?
-1, 0, 1
Let z(w) = -5*w**2 - 7*w + 4. Let h(c) = 4*c**2 + 6*c - 4. Let m(s) = -4*h(s) - 3*z(s). Solve m(u) = 0.
-4, 1
Let n = 730 - 8791/12. Let f = -9/4 - n. Determine q, given that 0*q - 1/3*q**4 + 1/3*q**3 - 1/3*q**5 + 0 + f*q**2 = 0.
-1, 0, 1
Let l(o) be the second derivative of o**6/30 + o**5/20 - o**4/4 - 5*o**3/6 - o**2 + 4*o. Find s such that l(s) = 0.
-1, 2
Let o(m) = -m**5 - m**4 + m**3 + 6*m**2 - 5*m. Let s(j) = -j**2 + j. Let h(x) = -2*x + x + 2*x. Let f be h(-2). Let g(c) = f*o(c) - 10*s(c). Factor g(n).
2*n**2*(n - 1)*(n + 1)**2
Solve -4*c - 2*c**3 - 6*c**3 + 16*c**2 + 12*c**5 + c - 16*c**4 - c = 0.
-1, 0, 1/3, 1
Let m(h) be the second derivative of 0 + 1/90*h**5 + 1/18*h**4 + 1/9*h**2 + 1/9*h**3 - 3*h. Find o such that m(o) = 0.
-1
Let v = 266/45 + -46/9. Solve 6/5*m**3 - 2*m**4 + 14/5*m**2 - v - 6/5*m = 0.
-1, -2/5, 1
Let i(u) = 9*u**2 - 17. Let f(n) = 6*n**2 - 11. Let x(k) = -8*f(k) + 5*i(k). Suppose x(l) = 0. What is l?
-1, 1
Let y(u) be the first derivative of 4/3*u**3 + 2*u - 3 - 3*u**2 + 1/3*u**6 - 6/5*u**5 + u**4. Factor y(a).
2*(a - 1)**4*(a + 1)
Let h(i) be the second derivative of i**7/63 - 2*i**6/45 + i**4/9 - i**3/9 + 6*i. Find a, given that h(a) = 0.
-1, 0, 1
Let r(y) = -y**2 + 2*y + 4. Let j be r(3). Let x(w) = w**3 - w**2 + w + 1. Let k(n) = 10*n**3 - n**2 - 20*n + 1. Let z(c) = j*k(c) + 5*x(c). Solve z(m) = 0.
-1, 2/5, 1
Let a(b) be the second derivative of 1/60*b**5 - 1/18*b**4 + 0*b**2 + 0 + 2/45*b**6 - 1/42*b**7 - 3*b + 0*b**3. Find z such that a(z) = 0.
-2/3, 0, 1
Factor 1/4*m**3 - 3/4 + 3/4*m**2 - 1/4*m.
(m - 1)*(m + 1)*(m + 3)/4
Let m(x) be the second derivative of -x**4/20 + 3*x**3/5 - 27*x**2/10 - 6*x. Factor m(h).
-3*(h - 3)**2/5
Let o(q) be the second derivative of q**6/160 - q**5/20 + 5*q**4/32 - q**3/4 - q**2 - q. Let x(z) be the first derivative of o(z). Determine g so that x(g) = 0.
1, 2
Let u be (7/2)/(7/56). Factor -u*z + z**2 + 28*z - z**3.
-z**2*(z - 1)
Factor -4/7*j - 4/7*j**3 - 8/7*j**2 + 0.
-4*j*(j + 1)**2/7
Suppose -2*y + 2*k = -2*k - 28, -4*k - 22 = -y. Suppose 0*o - 3*o = -y. Let -5/2*c**3 + 3/2*c**4 + 1/2*c + 0 + 1/2*c**o = 0. What is c?
-1/3, 0, 1
Factor 12*o + 43*o**3 - 40*o**3 - 18*o**2 + 3*o.
3*o*(o - 5)*(o - 1)
Let s be ((-12)/10)/(52/(-40) - -1). Factor 2/3 + 2/3*n**4 - 8/3*n**3 - 8/3*n + s*n**2.
2*(n - 1)**4/3
Let s(j) be the second derivative of -j**4/4 + j**3/2 + 4*j. Let s(g) = 0. What is g?
0, 1
Let j be 127/(-10) + (-5)/(-25). Let a = 13 + j. What is s in -1/2*s**3 + 1/2 - a*s**2 + 1/2*s = 0?
-1, 1
Let k(x) be the second derivative of -x**8/280 + 3*x**7/560 + x**6/240 + x**3/6 + x. Let a(s) be the second derivative of k(s). Determine b so that a(b) = 0.
-1/4, 0, 1
Let f(i) = 4*i**4 - 18*i**2 - 16*i + 5. Let c(w) = -4*w**4 + 17*w**2 + 15*w - 4. Let s(u) = -7*c(u) - 6*f(u). Factor s(r).
(r - 2)*(r + 1)*(2*r + 1)**2
Let s(o) be the first derivative of -o**7/735 - o**6/140 - o**5/105 - 3*o**2 - 2. Let t(x) be the second derivative of s(x). Suppose t(v) = 0. What is v?
-2, -1, 0
Let t = 2 - -3. Let f(l) be the third derivative of 0 - 1/72*l**4 + 0*l + 0*l**3 + l**2 - 1/180*l**t. Suppose f(h) = 0. Calculate h.
-1, 0
Suppose 36 = 4*m - 0*m. Factor m*b + 2*b**2 - 1 - 1 - 9*b.
2*(b - 1)*(b + 1)
Let -47*k**4 - 2*k**3 + 7*k**3 + 45*k**4 - 4 - 2*k + 6*k**2 - 3*k**3 = 0. Calculate k.
-1, 1, 2
Let w(u) = u - 5. Let m(n) = 1. Let r(h) = 4*m(h) + w(h). Let g be r(4). Factor 36 - 6*v**4 - 8*v + 8*v**2 - 36 + 10*v**g.
-2*v*(v - 2)*(v + 1)*(3*v - 2)
Let s(i) be the first derivative of -2/3*i**3 + 1/15*i**4 + 0*i**2 - 1 + 0*i + 1/75*i**5 + 1/900*i**6. Let u(o) be the third derivative of s(o). Factor u(g).
2*(g + 2)**2/5
Factor -4/7*m**2 + 0*m + 0 - 2/7*m**3.
-2*m**2*(m + 2)/7
Let a(o) = o**3 - 19*o**2 - 20*o. Let p be a(20). Let -2*d**2 + p + 2/3*d = 0. Calculate d.
0, 1/3
Let s(w) be the third derivative of -w**5/12 + 25*w**4/24 - 5*w**3 - 8*w**2. Factor s(f).
-5*(f - 3)*(f - 2)
Let q(f) = 3*f**2 - 5*f + 3. Let z(k) = -2*k**2 + 5*k - 3. Let s(h) = 3*q(h) + 4*z(h). Let g be s(-6). Factor 0 + 2*c**2 + 1/2*c**4 + 2*c**g + 0*c.
c**2*(c + 2)**2/2
Let w be (-1 + 1 + -4)*-4. Let u be w/24 + (-10)/(-3). Factor j**u + 1/2*j + 0*j**3 - 1/2*j**5 + 0 - j**2.
-j*(j - 1)**3*(j + 1)/2
Let x(m) be the third derivative of 2/15*m**7 + 2/5*m**6 - 4*m**2 + 0*m + 0 - 1/3*m**4 + 1/5*m**5 + 0*m**3. Solve x(a) = 0.
-1, 0, 2/7
Let h(n) = 9*n**4 - 12*n**2 - 3*n + 3. Let t(y) = 18*y**4 - y**3 - 25*y**2 - 6*y + 7. Let c(i) = 7*h(i) - 3*t(i). Factor c(u).
3*u*(u - 1)*(u + 1)*(3*u + 1)
Solve 5*y**2 - 258*y - 15*y**3 + 15*y**4 + 258*y - 5*y**5 = 0.
0, 1
Let o = 6 + -3. Let 0*n**3 + n**o - 2*n**3 = 0. What is n?
0
Let q(m) = m**3 - m**2 + m. Let x(w) = -10*w**3 - w**2 - 4*w. Let c(h) = 30*q(h) + 5*x(h). Factor c(t).
-5*t*(t + 2)*(4*t - 1)
Let v(w) = w**2 - w. Let d(t) = 2*t**2 - 3*t + 1. Let z(p) = -3*d(p) + 5*v(p). Find s, given that z(s) = 0.
1, 3
Let v(s) be the second derivative of s**4/48 + s**3/8 + s**2/4 - 5*s. Let v(y) = 0. Calculate y.
-2, -1
Let w be ((-8)/4 - (-15)/6)*4. Find n, given that -1/2*n**3 - 1/2*n**w + 0 + n = 0.
-2, 0, 1
Let y(m) be the first derivative of m**7/2940 - m**5/420 + 2*m**3/3 + 1. Let h(d) be the third derivative of y(d). Factor h(l).
2*l*(l - 1)*(l + 1)/7
Let t = -5 + 8. Suppose c = -c. Determine b, given that -14*b**t - 49/2*b**4 - 2*b**2 + c*b + 0 = 0.
-2/7, 0
Let o(i) be the third derivative of i**8/18144 + 13*i**7/22680 - i**6/540 + i**5/12 - 3*i**2. Let w(q) be the third derivative of o(q). What is d in w(d) = 0?
-3, 2/5
Let f = 3 + 6. Let q(n) = n**3 - n + 4. Suppose -14 = 4*i - k, 2*i - 2*k - 2*k = 0. Let c(d) = 2*d**3 - 2*d + 9. Let p(z) = f*q(z) + i*c(z). Factor p(v).
v*(v - 1)*(v + 1)
Let g(p) = p**2 - 9*p + 2. Let u be g(9). Factor 2/5*i + 4/5 - 2/5*i**3 - 4/5*i**u.
-2*(i - 1)*(i + 1)*(i + 2)/5
Let i = 6 + -2. Let x = -33 + 36. Factor -1 + 4*w**x - i + 5 - 2*w**5 - 2*w.
-2*w*(w - 1)**2*(w + 1)**2
Let x(d) be the first derivative of d**4/6 + 4*d**3/3 + 4*d**2 + d + 1. Let v(c) be the first derivative of x(c). Factor v(o).
2*(o + 2)**2
Suppose 0*y = -y + 3. Suppose 0 = y*j - 18 + 3. Solve -2*n**2 + 2*n**4 + n**5 - 4*n**j - n**5 + 4*n**3 = 0.
-1, 0, 1/2, 1
Let x(k) = 2*k**4 + 74*k**3 + 192*k**2 + 154*k + 10. Let d(z) = z**4 + 25*z**3 + 64*z**2 + 51*z + 3. Let t(v) = 10*d(v) - 3*x(v). Find b such that t(b) = 0.
-3, -2, 0
Factor 0*s - 3/2*s**3 + 0 + 1/2*s**4 + s**2.
s**2*(s - 2)*(s - 1)/2
Factor -1/2 + 5/4*i + 3/4*i**2.
(i + 2)*(3*i - 1)/4
Factor -72/17 - 96/17*t - 2/17*t**3 - 26/17*t**2.
-2*(t + 1)*(t + 6)**2/17
Let b(k) be the second derivative of -k**10/15120 + k**9/2520 - k**8/1680 + k**4/2 + 6*k. Let h(g) be the third derivative of b(g). What is z in h(z) = 0?
0, 1, 2
Let h be 35/(-14) - (-4 + 1). Let l(n) be the first derivative of 3/4*n**4 + 0*n + 4/3*n**3 + 1 + h*n**2. Factor l(m).
m*(m + 1)*(3*m + 1)
Factor 8*v - 12 - 5*v**2 + 4*v**2 + v**2 + 4*v**2.
4*(v - 1)*(v + 3)
Let z(w) be the second derivative of w**4/20 - 3*w**3/10 + 2*w - 10. Factor z(v).
3*v*(v - 3)/5
Suppose -5*a - 2*o = -4*o + 40, 16 = -2*a + 5*o. Let v(b) = -b**2 - 9*b - 5. Let x be v(a). Factor 14/9*n**4 + 46/9*n**x + 4/9 + 26/9*n + 6*n**2.
2*(n + 1)**3*(7*n + 2)/9
Solve 2/7*m**3 - 2/7*m**2 + 0 - 2/7*m + 2/7*m**4 = 0 for m.
-1, 0, 1
Let r(f) = -f**4 + f**3 + 1. Let m(t) = 12*t**4 - 12*t**3 - 11. Let d(q) = 2*m(q) + 22*r(q). Factor d(w).
2*w**3*(w - 1)
Let x(f) be the third derivative of -f