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Suppose -5/2*p**3 + 5/6*p**4 + 5/3*p**2 + 0 + 0*p = 0. Calculate p.
0, 1, 2
Let t(d) be the first derivative of d**7/210 + d**6/30 - d**5/12 + 8*d**2 - 20. Let f(r) be the second derivative of t(r). Factor f(h).
h**2*(h - 1)*(h + 5)
Suppose -6*l + 5 + 7 = 0. Let u be (1/l)/((-12)/(-192)). Factor 28*d**2 - u*d**2 - 7*d - 8 + 5*d - 10*d.
4*(d - 1)*(5*d + 2)
Factor -y + 5*y - 111 + 4*y**2 + 111.
4*y*(y + 1)
Let x(t) = -t**3 + 4*t**2 + 4*t - 8. Let o be x(4). Let i be (-12)/8*o/(-6). Determine u, given that -u**4 - u**3 + 3*u**3 - 2*u**2 + 3*u**4 - i*u = 0.
-1, 0, 1
Suppose 32 = -10*z + 37*z - 22. Factor 3*m**z + 11/4*m**3 + 0 + 3/4*m**4 + m.
m*(m + 1)*(m + 2)*(3*m + 2)/4
Let v(a) be the third derivative of -1/180*a**6 + 0 + 0*a + 0*a**3 + 7*a**2 + 0*a**4 - 1/90*a**5. What is t in v(t) = 0?
-1, 0
Let f be 6/20*(-50)/(-90). Let u(k) be the third derivative of 0*k + 6*k**2 + 1/10*k**5 + 0*k**3 + 0 + f*k**4 + 1/60*k**6. Factor u(y).
2*y*(y + 1)*(y + 2)
Factor -2*t**2 - 27*t + 17*t + 30*t + 50*t + 7*t**2.
5*t*(t + 14)
Suppose 0 = 5*w + 4*z - 30, 22 = 5*z - 3. Suppose 0 = -3*g - g + d + 22, 2*d + 14 = w*g. Factor -11*j**4 - 8*j + 28*j**2 - 36*j**3 + 23*j**4 - 4*j**g + 8*j**4.
-4*j*(j - 2)*(j - 1)**3
Factor 32*k**2 + 10*k + 18 - 24*k**2 + 11*k + k**3.
(k + 2)*(k + 3)**2
Let k(f) be the second derivative of f**4/48 + f**3/3 - 33*f**2/8 + 11*f - 2. Determine g, given that k(g) = 0.
-11, 3
Let s be 48/56 - (2 - 2). Factor 3*d - 90/7*d**2 + s.
-3*(5*d - 2)*(6*d + 1)/7
Let t(w) = -3*w + 5. Let y(m) = 16*m - 28. Let k(u) = 28*t(u) + 5*y(u). Let h be k(-1). Factor 0 - 24*g**2 + h*g + 3 - 22*g - 6.
-3*(2*g + 1)*(4*g + 1)
Let s(d) be the first derivative of -2*d**5/105 + 3*d**4/14 - 16*d**3/63 - 798. What is t in s(t) = 0?
0, 1, 8
Let q(r) = 6*r**4 + 23*r**2 - 11*r - 19. Let j(t) = t**4 + 2*t**2 - t - 1. Let d(v) = 28*j(v) - 4*q(v). Let d(w) = 0. Calculate w.
-3, -1, 2
Let o(k) be the first derivative of 0*k**3 + 6*k + 5 - 1/78*k**4 + 1/13*k**2. Let a(r) be the first derivative of o(r). Factor a(v).
-2*(v - 1)*(v + 1)/13
Let a(d) = 3*d**3 + 54*d**2 + 99*d + 44. Let q(l) = l**3 + 2*l**2 + l - 2. Let x(z) = a(z) - 2*q(z). Factor x(k).
(k + 1)**2*(k + 48)
Let w(c) be the first derivative of 0*c**2 + 0*c**3 + 0*c**4 + 3*c + 1/20*c**5 - 6 - 1/30*c**6. Let j(m) be the first derivative of w(m). Factor j(q).
-q**3*(q - 1)
Let -1/2*x**4 + 0*x + 0 - 15/2*x**2 - 4*x**3 = 0. Calculate x.
-5, -3, 0
Let i(y) = -28*y**4 - 28*y**3 + 20*y**2 - 4*y - 8. Let t(j) = -2*j**4 - j**3 + j**2 - j. Let x(z) = -i(z) + 16*t(z). Factor x(b).
-4*(b - 2)*(b - 1)**2*(b + 1)
Let b(w) = 5*w**3 + 8*w**2 + 10*w + 6. Let q(t) = 7*t**3 + 9*t**2 + 9*t + 5. Let d(p) = 6*b(p) - 4*q(p). Factor d(j).
2*(j + 2)**3
Let h be 6 + -2 - (-2)/2. Suppose 0 = -a - m + h, 9*m - 5 = 4*m. Solve -s**4 - 3*s**4 + 2*s**4 + a*s**4 = 0 for s.
0
Let y(t) be the second derivative of t**5/20 + 19*t**4/4 - 39*t**3/2 + 59*t**2/2 - 2*t + 5. Suppose y(p) = 0. What is p?
-59, 1
Let v be (7 - (-730)/(-40))*2/(-9). Factor -5*n**2 - 5/2*n**5 + v*n + 5*n**4 + 0 + 0*n**3.
-5*n*(n - 1)**3*(n + 1)/2
Let o(r) be the second derivative of 0 + 9*r + 0*r**2 - 1/40*r**5 + 1/24*r**4 + 0*r**3. Factor o(l).
-l**2*(l - 1)/2
Factor 12/5*m**2 + 3*m + 3/5*m**3 + 6/5.
3*(m + 1)**2*(m + 2)/5
Let p = 64 - 59. Suppose 2*z**4 + p*z**4 - z**4 + 2*z**5 - 4*z**4 = 0. Calculate z.
-1, 0
Let y = -41 - -35. Let r be y/(-3) + (-2 - (-2)/10). Factor 1/5*v**2 - r + 0*v.
(v - 1)*(v + 1)/5
Let g(q) = 4*q**2 + 26*q + 33. Let n(i) = 31*i**2 + 207*i + 267. Let d(z) = -46*g(z) + 6*n(z). Factor d(w).
2*(w + 2)*(w + 21)
Let d be 5/(15/2) - 16/(-12). Let c(h) be the third derivative of -1/32*h**4 + 0*h**5 + 0*h + 1/480*h**6 + 0 + 1/12*h**3 + 2*h**d. Solve c(m) = 0.
-2, 1
Let z(t) = -t**2 - 7*t + 4. Let g be z(-7). Suppose 2*r = x + 4, -12 - 7 = -3*r - 5*x. Factor 10/9*y**2 + 0 - 2/3*y - 2/9*y**r - 2/9*y**g.
-2*y*(y - 1)**2*(y + 3)/9
Let i = -129 - -73. Let u be (48/i)/(-6) + 1/(-7). Factor -4/9*a - 2/9*a**2 + u.
-2*a*(a + 2)/9
Let j be 3/3 - 12/(0 + -3). Let h be 10/4 - ((-15)/j - -5). Factor 0 + 1/2*w - w**2 + h*w**3.
w*(w - 1)**2/2
Find y such that 0 - 27/2*y**2 - 1/6*y**4 + 3*y**3 + 0*y = 0.
0, 9
Let d(i) = 2*i**2 + 616*i - 615. Let z be d(1). Solve 4/9*y**5 - 8/9*y**2 - 8/9*y**z + 4/9*y**4 + 4/9 + 4/9*y = 0 for y.
-1, 1
Let g(f) be the second derivative of 0*f**3 - 5*f + 0*f**2 + 1/75*f**6 + 0 + 1/50*f**5 + 0*f**4. Solve g(v) = 0.
-1, 0
Factor 4/19*d**3 - 10/19*d**2 + 0 - 12/19*d + 2/19*d**4.
2*d*(d - 2)*(d + 1)*(d + 3)/19
Suppose 0 = -28*n + 29*n - 2. Factor -2*y + 12*y**2 - 6*y**2 + n - 2.
2*y*(3*y - 1)
Let l(h) be the first derivative of -h**7/210 - h**6/30 + 8*h**3/3 + 7. Let g(d) be the third derivative of l(d). Factor g(t).
-4*t**2*(t + 3)
Let w(k) = 2*k**2 - 3*k**2 + 7*k - 2 - 2 + 0. Let f be w(6). Let -2*n**2 - n**3 + n**2 + f*n**2 - 3*n**4 + n + 2*n**4 = 0. Calculate n.
-1, 0, 1
Let c(z) = -9*z**4 - 16*z**3 - 16*z**2 + 5*z - 5. Let p(i) = 5*i**4 + 8*i**3 + 8*i**2 - 3*i + 3. Let v(d) = 6*c(d) + 10*p(d). Determine a, given that v(a) = 0.
-2, 0
Let x(n) be the third derivative of -8*n**5/225 + 2*n**4/45 - n**3/45 - 9*n**2 - 4. Determine w so that x(w) = 0.
1/4
Let t = -1/16 + 17/240. Let g(h) be the second derivative of -1/3*h**3 - 3*h - t*h**5 - 1/12*h**4 + 0 - 2/3*h**2. Let g(s) = 0. What is s?
-2
Let x = -1336 - -1340. Let c(k) be the third derivative of -6*k**2 + 0*k**3 - 1/280*k**7 + 0*k**x + 0*k**5 + 0*k**6 + 0 + 1/112*k**8 + 0*k. Factor c(d).
3*d**4*(4*d - 1)/4
Let j(l) be the third derivative of -l**6/30 - 11*l**5/30 - 17*l**4/12 - 2*l**3 - 99*l**2 - 3*l. Factor j(b).
-2*(b + 2)*(b + 3)*(2*b + 1)
Factor -2/17*z**2 - 4/17*z + 0.
-2*z*(z + 2)/17
Let c(x) = -3*x + 2. Let i be c(-2). Let p = i + -8. Factor 7*n**2 + 8*n**3 + 7*n + 5*n + 2 + 11*n**2 + p.
2*(n + 1)**2*(4*n + 1)
Let g(d) = d**2 - d + 1. Let z(s) = 5*s**4 - 15*s**3 - 28*s**2 + 18*s + 17. Let l(w) = 3*g(w) + z(w). Factor l(x).
5*(x - 4)*(x - 1)*(x + 1)**2
Let c = 5321/2945 - 4/589. Factor 1/5 + 27/5*l**2 - 27/5*l**3 - c*l.
-(3*l - 1)**3/5
Let n(x) be the second derivative of -x**7/630 - x**6/45 - 2*x**5/15 + x**4/4 - 14*x. Let i(s) be the third derivative of n(s). Factor i(g).
-4*(g + 2)**2
Let o be ((-2)/14 + 0)*0. Let q(l) be the third derivative of 1/108*l**4 - 1/90*l**5 + 0*l + 0*l**3 + 1/180*l**6 + o - 1/945*l**7 + 13*l**2. Factor q(i).
-2*i*(i - 1)**3/9
Suppose 0 = 24*g - 3*g + 42. Let b be (11/(-22))/(g/8). Suppose -1/8*l**3 + 1/8*l**b + 0 + 0*l = 0. What is l?
0, 1
Let j(s) = 7*s**4 - 11*s**3 + 12*s**2 - 2*s - 8. Let q = -38 + 8. Let l(h) = -h**4 + h**3 - h**2 + h. Let a(w) = q*l(w) - 5*j(w). Solve a(x) = 0 for x.
-1, 2
Find r such that 2/5*r - 4/5 - 2/5*r**3 + 4/5*r**2 = 0.
-1, 1, 2
Let q(o) be the third derivative of 0 - 1/8*o**3 - 12*o**2 + 0*o + 1/8*o**4 - 3/40*o**5 - 1/280*o**7 + 1/40*o**6. Let q(w) = 0. Calculate w.
1
Let s(a) be the second derivative of a**5/10 + 13*a**4/3 + 169*a**3/3 + a + 116. Determine o so that s(o) = 0.
-13, 0
Let o(c) be the first derivative of -c**8/1680 - c**7/210 - c**6/72 - c**5/60 - c**3/3 + 12. Let w(p) be the third derivative of o(p). Factor w(v).
-v*(v + 1)**2*(v + 2)
Let n(s) be the second derivative of -9/2*s**3 + 5/14*s**7 + 3/5*s**5 + 6/5*s**6 - 5/2*s**4 - 5*s + 0 - 3*s**2. Factor n(m).
3*(m - 1)*(m + 1)**3*(5*m + 2)
Let j(m) be the second derivative of -2/3*m**4 - 3*m**2 + 10*m - 13/6*m**3 + 0 - 1/20*m**5. Factor j(w).
-(w + 1)**2*(w + 6)
Let m(l) be the third derivative of -l**7/504 - l**6/12 - 3*l**5/2 - 25*l**4/24 + 16*l**2. Let b(s) be the second derivative of m(s). Let b(f) = 0. Calculate f.
-6
Factor 0 - 1/2*h**3 + 0*h + 3/2*h**2.
-h**2*(h - 3)/2
Let 24 + 1/2*s**2 - 49/2*s = 0. Calculate s.
1, 48
Let g = -25 - -13. Let f(z) = -z**2 + z - 1. Let j(i) = 14*i**2 - 32*i + 62. Let m(p) = g*f(p) - j(p). Factor m(d).
-2*(d - 5)**2
Let x(p) be the third derivative of -9*p**8/224 + 3*p**7/70 + 31*p**6/40 + 3*p**5/10 - 29*p**4/16 + 3*p**3/2 + 12*p**2 + 1. What is t in x(t) = 0?
-2, -1, 1/3, 3
Let q(t) be the first derivative of 11/18*t**3 + 2*t**2 - 5 + 2/3*t. Determine c, given that q(c) = 0.
-2, -2/11
Let t be 306/28 - (-1 - 6 - 17/(-2)). Determine y so that 122/7*y**2 - 36/7 - t*y**3 + 10/7*y**4 - 30/7*y = 0.
-2/5, 1, 3
Let t(u) be the thi