.
-3, 0, 1
Let w = 93215 + -19761519/212. Let v = -2/53 + w. Factor 0*u + 0*u**2 + 1/4*u**3 - v*u**4 + 0.
-u**3*(u - 1)/4
Let u(l) = -36 + 8*l + 2*l**2 + 28 + 0*l. Let i(j) = j**2 + 8*j - 8. Let o be 4*((-10)/(-8) + -2). Let v(h) = o*u(h) + 4*i(h). Suppose v(s) = 0. Calculate s.
2
Suppose g = -4*g + 290. Let w = 58 - g. Factor w*v**2 + 2/3 - v + 1/3*v**3.
(v - 1)**2*(v + 2)/3
Solve -1/7*z**3 - 22800/7*z - 22500/7 - 43*z**2 = 0 for z.
-150, -1
Suppose -2*g = -4*a + 10, 4*g = 49 - 29. Let p(t) be the third derivative of -1/20*t**5 + 0 + 0*t + 0*t**3 - 3/40*t**6 + 1/4*t**4 - a*t**2. Factor p(c).
-3*c*(c + 1)*(3*c - 2)
Let g(i) = -2*i**3 - 9*i**2 + 5*i + 3. Let l(w) = -9*w**3 - 37*w**2 + 19*w + 13. Let s(b) = 26*g(b) - 6*l(b). Factor s(m).
2*m*(m - 4)*(m - 2)
Let v(g) be the second derivative of 2*g**6/15 + 2*g**5 + 8*g**4 + 44*g**3/3 + 14*g**2 + g + 658. Factor v(s).
4*(s + 1)**3*(s + 7)
Let c(y) be the third derivative of -y**8/21000 + y**7/5250 + y**6/1500 - 2*y**3/3 - 2*y**2. Let f(h) be the first derivative of c(h). Factor f(i).
-2*i**2*(i - 3)*(i + 1)/25
Suppose n + 2*n + 3 = 0. Let o(h) = -5*h**3 + 6*h**3 + 2 - 3. Let j(u) = 8*u**3 - 4*u**2 + 2*u - 6. Let y(g) = n*j(g) + 10*o(g). Let y(v) = 0. What is v?
-2, -1, 1
Factor 0 + 108/5*t + 36/5*t**2 + 3/5*t**3.
3*t*(t + 6)**2/5
Suppose 82*w = 59*w. Find b, given that -2/5*b**3 + 2/5*b**2 + 0*b - 2/5*b**4 + 2/5*b**5 + w = 0.
-1, 0, 1
Suppose -4*r - 3 = -5*r. Factor 9*s**2 - s**r + s**2 + 3*s**4 + 10*s**3 - 4*s**2.
3*s**2*(s + 1)*(s + 2)
Suppose -4 = 4*w, 3*z + 2*w + 82 = z. Let g = -38 - z. Determine a, given that -2/9*a**g + 0 + 0*a = 0.
0
Let r be ((-3)/2)/(9/(-78)) - 0. Solve 4 + 3*c + 2*c**3 + 4*c - r*c = 0.
-2, 1
Let g be -3 + 125/45 + 83/9. Find u, given that 2*u**4 - 3*u**4 + g*u**2 - 6*u**4 + 10*u**4 + 12*u**3 = 0.
-3, -1, 0
Let v(w) be the third derivative of -w**7/42 - w**6/12 + 2*w**5/3 + 132*w**2. Solve v(i) = 0.
-4, 0, 2
Let h(x) = -x + 2. Let s(t) = -t + 2. Let n(p) = -5*h(p) + 6*s(p). Let y be n(-2). Suppose -4*i**2 - i**y + 4*i + 7*i**4 - 2*i - 2*i**4 - 2*i**5 = 0. What is i?
-1, 0, 1
Let t(a) be the second derivative of -a**8/1260 + a**7/315 - a**6/270 + 11*a**3/6 - 7*a. Let x(c) be the second derivative of t(c). Factor x(k).
-4*k**2*(k - 1)**2/3
Let u = -104 + 159. Let c = u + -30. Find s such that 104*s**3 + 180*s**4 + 2*s - 88*s**5 - 12*s**5 + c*s + 5*s - 144*s**2 = 0.
-1, 0, 2/5, 2
Let h(o) be the second derivative of -o**7/5670 + o**6/324 - 2*o**5/135 - 7*o**4/3 - 14*o. Let j(s) be the third derivative of h(s). What is t in j(t) = 0?
1, 4
Factor a - 3*a**5 + 6*a**3 - 224 + 224 - 4*a.
-3*a*(a - 1)**2*(a + 1)**2
Let f be ((-2)/(-3))/((-7)/1260*-6). Solve 3*u**2 + 39*u - f*u - 25*u + 3 = 0.
1
Let g(b) be the second derivative of 3*b**4/4 - 4*b**3 + 6*b**2 - 15*b. Let v(f) = -18*f**2 + 48*f - 24. Let c(u) = -5*g(u) - 2*v(u). Factor c(x).
-3*(x - 2)*(3*x - 2)
Suppose -20*l + 48 = 4*l. Let c be l*(-3 - -2)*-1 - 0. Suppose 1/2*b**c + 8 + 4*b = 0. Calculate b.
-4
Let w(p) be the first derivative of 4/9*p**3 - 8*p**2 + 48*p + 2. Solve w(t) = 0.
6
Let d(n) be the third derivative of -n**6/840 + n**5/60 + n**4/168 - n**3/6 + n**2 + 5*n. Factor d(j).
-(j - 7)*(j - 1)*(j + 1)/7
Let g(m) be the second derivative of 1/140*m**5 + 0 - 1/42*m**3 + 1/84*m**4 + 9*m - 1/14*m**2. Find v such that g(v) = 0.
-1, 1
Let v(o) = 35*o**2 + 3300*o - 11. Let t(u) = -10*u**2 - 825*u + 3. Let s(k) = 11*t(k) + 3*v(k). Determine j so that s(j) = 0.
0, 165
Let t(o) = 3*o**2 - 1. Let j be 0 + (12/3)/4. Let r be t(j). Factor 7*k**3 - 18 - 67*k - 51*k**r + 10*k + 9*k**4 - 10*k**3.
3*(k - 3)*(k + 1)**2*(3*k + 2)
Factor -2/15*k**4 + 2/5*k**3 + 0 + 2/15*k - 2/5*k**2.
-2*k*(k - 1)**3/15
Factor -44*h**2 + 124*h + 704*h**3 - 345*h**3 - 355*h**3 - 84.
4*(h - 7)*(h - 3)*(h - 1)
Let l = -35 - -38. Let t be (6/(-15))/((-2)/10). Determine f, given that -3 + 3*f**t - 1 + 4 - l = 0.
-1, 1
Let l(w) be the second derivative of 2*w**7/21 + 14*w**6/15 + 3*w**5 + 3*w**4 - 138*w + 1. Determine j, given that l(j) = 0.
-3, -1, 0
Solve -45*k**3 - 7*k + 44*k**2 + 0*k - 36*k**2 + 44*k**3 = 0 for k.
0, 1, 7
Let v(s) be the second derivative of s**5/230 + 7*s**4/138 + 16*s**3/69 + 12*s**2/23 + 100*s. Determine m so that v(m) = 0.
-3, -2
Suppose -9*f = -64*f + 440. Let u(l) be the second derivative of 3/40*l**5 - 3/8*l**4 - 3/2*l**2 + 1/20*l**6 - 5/4*l**3 - f*l + 0. Factor u(r).
3*(r - 2)*(r + 1)**3/2
Factor -88/3*i - 145/6*i**2 + 13/6*i**4 - 19/6*i**3 - 32/3 - 1/6*i**5.
-(i - 8)**2*(i + 1)**3/6
Let j be 4 + -11 + 225/27. Factor j*q - 10/3*q**2 + 0 + 2*q**3.
2*q*(q - 1)*(3*q - 2)/3
Let j = 1529/3633 + 4/519. Let j*z**5 + 15/7*z**3 - 6/7*z**2 + 0 - 12/7*z**4 + 0*z = 0. Calculate z.
0, 1, 2
Let j(c) be the third derivative of -c**7/945 - c**6/108 + 47*c**2 - 2*c. Factor j(t).
-2*t**3*(t + 5)/9
Factor 10/3*y**5 + 0 + 108*y**2 + 18*y + 96*y**3 + 92/3*y**4.
2*y*(y + 3)**3*(5*y + 1)/3
Let f(u) = -2*u**3 - 3*u**2 - u - 1. Let v be f(-2). Determine q so that -5*q**2 + 16 + 4 - 5*q**2 + v*q**2 = 0.
-2, 2
Let p(x) be the first derivative of x**7/630 - x**5/60 + x**4/36 + 6*x**2 - 6. Let r(u) be the second derivative of p(u). Determine w, given that r(w) = 0.
-2, 0, 1
Let d = -1 + 5. Let g be (-16)/4 - (-42)/10. Factor 4/5*l + 6/5*l**2 + g + 4/5*l**3 + 1/5*l**d.
(l + 1)**4/5
Let p(d) = 5*d**5 + 6*d**4 - 3*d**3 - 4*d**2 + 4*d. Let u(t) = -t**5 - t**4 + t**2 - t. Let s(k) = p(k) + 4*u(k). Find a, given that s(a) = 0.
-3, 0, 1
Suppose -2*n - j + 3 = n, n + 3*j - 9 = 0. Let 0 - 4*z**2 + 0 + 4*z + n*z = 0. What is z?
0, 1
Let -2/7*d**3 + 0 + 0*d + 4/7*d**2 = 0. Calculate d.
0, 2
Let s(o) be the third derivative of -o**5/180 + 7*o**4/18 + 29*o**3/18 - 595*o**2. Factor s(x).
-(x - 29)*(x + 1)/3
Let z(r) = r - 1. Let n(s) = -2*s + 3. Let m(x) = 2*n(x) + 5*z(x). Let o(t) = 2*t**3 - 3*t + 7. Let v(u) = 3*m(u) - o(u). Factor v(g).
-2*(g - 1)**2*(g + 2)
Let r be ((-8)/14)/((-90)/21). Find i, given that -r*i**2 - 58/15*i**4 - 8/5*i**5 + 4/15*i + 0 - 8/3*i**3 = 0.
-1, -2/3, 0, 1/4
Let n(m) = 12*m**2 + 885*m + 659. Let f be n(-73). Factor -2/7*k**3 - 24/7*k**f - 72/7*k + 0.
-2*k*(k + 6)**2/7
Suppose -19 + 60*r + 46 + 61*r**2 - 4*r**3 - 77*r**2 + 47 - 2 = 0. Calculate r.
-6, -1, 3
Let g(n) be the first derivative of n**8/168 + n**7/140 - n**6/90 + 7*n**3/3 - 3. Let u(m) be the third derivative of g(m). Factor u(l).
2*l**2*(l + 1)*(5*l - 2)
Let s = 106046/5 + -21007. Let h = -201 + s. Solve -6/5*o**3 - h + 3/5*o + 12/5*o**2 - 6/5*o**4 + 3/5*o**5 = 0.
-1, 1, 2
Suppose 47*t = 43*t. Let b(n) be the third derivative of -1/20*n**5 + 0*n**3 + t*n - 3*n**2 + 1/50*n**6 - 1/350*n**7 + 0 + 1/20*n**4. Find y such that b(y) = 0.
0, 1, 2
Suppose -22 = 90*d - 101*d. Factor -14/9*z**d + 0 - 4/9*z + 2*z**3.
2*z*(z - 1)*(9*z + 2)/9
Let o(v) be the second derivative of -5*v**4/4 - 55*v**3/18 - 5*v**2/3 + 11*v - 2. Let o(q) = 0. Calculate q.
-1, -2/9
Let n be 28/(-4) + 11 - 4. Let r(p) be the first derivative of -11/6*p**4 + n*p - 2/5*p**5 - 80/27*p**3 - 16/9*p**2 + 8. Factor r(v).
-2*v*(v + 1)*(3*v + 4)**2/9
Suppose -2*x = 5*u - 29, 0*x - 2*u + 18 = 4*x. Suppose -m - x*m = -9*m. Solve 1/5*j**3 + m - 1/5*j - 1/5*j**2 + 1/5*j**4 = 0 for j.
-1, 0, 1
Let h(g) be the third derivative of 0*g**4 + 1/40*g**6 + 0 + 0*g + 1/336*g**8 + 1/70*g**7 + 1/60*g**5 + 0*g**3 - 43*g**2. Find m such that h(m) = 0.
-1, 0
Let u(b) = b**5 + 5*b**4 + 7*b**3 + 13*b**2 + 8*b + 1. Let d(f) = -f**5 - 5*f**4 - 6*f**3 - 14*f**2 - 9*f - 1. Let m(i) = -3*d(i) - 4*u(i). Factor m(o).
-(o + 1)**5
Let d(w) = -5*w**4 + 5*w**3 + 495*w**2 - 735*w. Let k(p) = -2*p**3 - p**2 - p. Let x(b) = d(b) + 30*k(b). Solve x(c) = 0 for c.
-17, 0, 3
Let q = -83/162 + 46/81. Let s(z) be the first derivative of 4/27*z**3 + 1 - 16/9*z - q*z**4 + 4/9*z**2. Solve s(x) = 0 for x.
-2, 2
Solve 1/11*d**3 + 2/11*d**2 - 18/11 - 9/11*d = 0.
-3, -2, 3
Let p(f) be the first derivative of -5*f - 1/36*f**4 - 1/3*f**2 - 1 + 1/6*f**3. Let v(q) be the first derivative of p(q). Determine k, given that v(k) = 0.
1, 2
Let d be 0 + (-3)/12 - ((-19)/76 + -2). Factor 0 + 3*v**d + 0*v + 27/2*v**3 + 6*v**4.
3*v**2*(v + 2)*(4*v + 1)/2
Let -14/11 + 5/11*v**2 - 3/11*v = 0. What is v?
-7/5, 2
Let q be ((-36)/(-63))/(6/21). Let n(x) be the second derivative of 0*x*