*j**3 - 2/7*j**5 + 0*j**4 - 4/7*j**a = 0.
-2, -1, 1
Let i(x) be the second derivative of -x**6/75 + 4*x**5/25 - 13*x**4/30 + 2*x**3/5 - 153*x. Factor i(d).
-2*d*(d - 6)*(d - 1)**2/5
Suppose -265*h - 65 = -278*h. Let k(u) be the first derivative of 1/12*u**3 - 1/8*u**2 + 0*u - 4 - 1/20*u**h + 1/16*u**4. Let k(n) = 0. What is n?
-1, 0, 1
Let f be 7 + 8 + (-52)/4. Suppose 8/15 + 6/5*v + 2/15*v**3 + 4/5*v**f = 0. Calculate v.
-4, -1
Suppose 4*i - 18 = -0*z - z, z - 3*i + 10 = 0. Solve 20 - 3 + 12*r + 10*r + 3 + z*r**2 = 0.
-10, -1
Determine r, given that 81*r**2 - 12*r**2 + 70 - 135*r + 46 - r**3 - 49 = 0.
1, 67
Factor 3597/5*h**2 + 1/5*h**4 - 122/5*h**3 + 7564/5*h + 3844/5.
(h - 62)**2*(h + 1)**2/5
Suppose 0 = 15*b - 82*b - 22*b. Let i(t) be the first derivative of -2/21*t**3 + b*t + 6 - 1/7*t**2. Factor i(p).
-2*p*(p + 1)/7
Let u = -1/331 - -1341/5627. Let s be 6/(-20)*(-23 + 13). Let 2/17*i**s + u*i**2 - 4/17 - 2/17*i = 0. What is i?
-2, -1, 1
Let k(n) be the third derivative of 1/100*n**6 - 1/10*n**3 + 0 - 3/40*n**4 - 1/50*n**5 + 3/350*n**7 + n**2 + 1/560*n**8 + 0*n. Factor k(h).
3*(h - 1)*(h + 1)**4/5
Determine p, given that 12*p - 224*p**3 + 184*p**2 + 48*p**4 - 11*p**5 + 49*p**5 - 18*p**5 - 40 = 0.
-5, -2/5, 1
Let d(p) be the first derivative of -p**3/3 + 18*p**2 - 324*p - 59. Suppose d(s) = 0. What is s?
18
Suppose -3*j = -3, -3*o + 4*j - 2*j - 209 = 0. Let f = -67 - o. Factor 3/2*l**f + 9/2*l + 3.
3*(l + 1)*(l + 2)/2
Determine i, given that -4*i**2 + 11/2*i**3 - 21/4*i - 1/4*i**5 + 9/2 - 1/2*i**4 = 0.
-6, -1, 1, 3
Let y(r) be the second derivative of -7*r**5/180 + 37*r**4/72 - 5*r**3/9 - 21*r**2/2 - 16*r. Let x(l) be the first derivative of y(l). Factor x(g).
-(g - 5)*(7*g - 2)/3
Let 153*x - 338 + 6899 + 87*x - 78*x + x**2 = 0. Calculate x.
-81
Let m be (8/(-10))/(40/(-100)). Let t be (-2 - (3 + -1))/(-2). Factor -t*o - 4*o**3 - o + 5*o**m + o**2 + o**3.
-3*o*(o - 1)**2
Let w(m) be the third derivative of m**8/560 - m**6/100 + m**4/40 + 30*m**2 - 2*m. Let w(k) = 0. What is k?
-1, 0, 1
Let y(j) be the first derivative of 0*j**4 - 17 + 4/65*j**5 + 0*j - 4/39*j**3 - 1/13*j**2 + 1/39*j**6. Factor y(w).
2*w*(w - 1)*(w + 1)**3/13
Let f(h) = 22*h**2 + 26*h + 44. Let g(q) = 7*q**2 + 9*q + 14. Let x(v) = 3*f(v) - 10*g(v). Factor x(b).
-4*(b + 1)*(b + 2)
Let s(y) be the third derivative of -y**7/350 + 9*y**6/100 - 77*y**5/100 - 9*y**4/5 + 162*y**3/5 + 2*y**2. Let s(q) = 0. What is q?
-2, 2, 9
Factor -32/11*r**3 - 2/11*r + 0 - 16/11*r**2.
-2*r*(4*r + 1)**2/11
Suppose -197*v = -175*v - 110. Let -16/11*q**3 - 32/11 - 114/11*q**4 + 0*q + 144/11*q**2 - 36/11*q**v = 0. What is q?
-2, -1/2, 2/3
Let j(r) be the first derivative of -4*r**5/5 + 16*r**3/3 + 67. Factor j(d).
-4*d**2*(d - 2)*(d + 2)
Determine i, given that -5/3*i**2 - 370/3*i + 125 = 0.
-75, 1
Let x(k) be the first derivative of 7*k**4/10 - 6*k**3/5 + 2*k**2/5 - 147. Solve x(i) = 0 for i.
0, 2/7, 1
Let f(x) = -201*x**2 + 168*x - 36. Let j(z) = -502*z**2 + 420*z - 90. Let u(d) = d**2 - 3*d + 1. Let p be u(4). Let q(y) = p*j(y) - 12*f(y). Factor q(g).
-2*(7*g - 3)**2
Let h = -19801/7 + 2829. Determine o, given that h*o**2 + 0*o**3 - 1/7*o - 2/7*o**4 + 1/7*o**5 + 0 = 0.
-1, 0, 1
Let f(x) be the first derivative of x**4/12 + 2*x**3/3 + 2*x**2 + 8*x/3 - 258. Factor f(q).
(q + 2)**3/3
Factor 15*c**4 - 20*c**4 - 23*c**3 - 33*c**2 - 14*c + 2*c**4 + c**5.
c*(c - 7)*(c + 1)**2*(c + 2)
Let i(j) = 2*j - 7. Let l(k) be the first derivative of -k**3/3 + k**2/2 - k - 8. Let r(t) = -i(t) + l(t). Let r(m) = 0. What is m?
-3, 2
Suppose 0 = -13*n + 5*n + 16. Let n*w**2 - 3*w + 2*w - 3*w + 0*w = 0. What is w?
0, 2
Let p(o) be the second derivative of -o**4/54 + 25*o**3/27 - 28*o**2/3 - 14*o. Factor p(b).
-2*(b - 21)*(b - 4)/9
Let j(v) be the second derivative of -v**4/96 + v**3/8 + 9*v**2/2 - 3*v - 3. Factor j(x).
-(x - 12)*(x + 6)/8
Let m(t) be the first derivative of 3/7*t**2 - 3/7*t - 3/14*t**4 + 0*t**3 + 11 + 3/35*t**5. Factor m(c).
3*(c - 1)**3*(c + 1)/7
Determine m, given that 2/5*m**3 + 24/5*m + 22/5*m**2 + 8/5 - 6/5*m**4 - 2/5*m**5 = 0.
-2, -1, 2
Let c(p) be the first derivative of -4*p**5/5 - 6*p**4 - 4*p**3 + 20*p**2 - 175. Factor c(s).
-4*s*(s - 1)*(s + 2)*(s + 5)
Determine q, given that 41/4*q**2 - 9/4*q**4 + 13/4*q**3 + 7/4*q - 3 = 0.
-1, 4/9, 3
Let f(m) = m**3 + 8*m**2 + 3*m - 4. Let o(q) = -9*q**2 - 3*q + 6. Let g(r) = 3*f(r) + 4*o(r). Suppose g(a) = 0. Calculate a.
-1, 1, 4
Factor -16*j - j**3 + 24*j**4 - 26*j**4 + 32 - 30*j**2 + 11*j**3 + 0*j**3 + 6*j**3.
-2*(j - 4)**2*(j - 1)*(j + 1)
Suppose -33*t - 141 = -52*t - 28*t. Suppose -128/5 - 34/5*d**2 + 32*d + 2/5*d**t = 0. Calculate d.
1, 8
Let s(u) be the second derivative of 0 + u**2 + 2/9*u**4 + 13/9*u**3 + 10*u. Let s(c) = 0. Calculate c.
-3, -1/4
Factor 2/7*n + 0 + 1/7*n**3 - 3/7*n**2.
n*(n - 2)*(n - 1)/7
Let g = 2296 - 2294. Factor 12/5*x - 18/5 - 2/5*x**g.
-2*(x - 3)**2/5
Suppose -23 = z - 5*u, 5*z - 35 = -7*u + 2*u. Let v(w) be the first derivative of 9/2*w**z - 3*w**3 - 3*w + 3/4*w**4 - 3. Determine o so that v(o) = 0.
1
Suppose -1/9*s - 2/9 + 1/9*s**2 = 0. What is s?
-1, 2
Let b(w) be the second derivative of 0 + 1/3*w**4 - 5*w + 18*w**2 - 4*w**3. Factor b(n).
4*(n - 3)**2
Let h be 5*(5 - 3 - 1). Suppose -w = 1 - h. Factor -j**4 + 2*j + 4*j**3 + j**2 + 2*j**4 + w*j**2.
j*(j + 1)**2*(j + 2)
Suppose 1405 = -3*n - 20*n + 1474. Determine r so that -6/7 + 8/7*r + 2/7*r**4 + 4/7*r**2 - 8/7*r**n = 0.
-1, 1, 3
Let y(l) = -3*l**3 + 39*l**2 + 87*l + 42. Let u(i) = 3*i**3 - 39*i**2 - 87*i - 41. Let x(p) = -3*u(p) - 4*y(p). Suppose x(t) = 0. Calculate t.
-1, 15
Let f(b) = -b**5 - b**4 - b**3. Let a(t) = -3*t**5 + 10*t**4 - 47*t**3 + 50*t**2. Let m(p) = 2*a(p) - 4*f(p). Solve m(w) = 0.
0, 2, 5
Let l(r) be the second derivative of 0*r**2 + 1/30*r**6 + 0 + 3*r + 3/20*r**4 + 1/15*r**3 + 3/25*r**5. Find x such that l(x) = 0.
-1, -2/5, 0
Let x be 1198/(-599)*(6/(-3) + 1). Factor -9/8 - 3/8*a**x + 15/8*a - 3/8*a**3.
-3*(a - 1)**2*(a + 3)/8
Let j(u) = -u**3 - u**2 + u + 1. Let n = -44 + 45. Let i(c) = 4*c**3 - 3*c + 1. Let q(t) = n*i(t) + 3*j(t). Factor q(f).
(f - 2)**2*(f + 1)
Let u(y) = -19*y**2 + y - 2. Let t be u(-2). Let d be (-5)/(-20)*t/(-6). Solve -22/3*h + 4/3 + d*h**2 = 0.
1/5, 2
Let k(t) = -t**3 + t**2 - 1. Let d(p) = 2*p**3 - 9*p**2 - 9*p + 1. Let n(u) = d(u) + k(u). Find o such that n(o) = 0.
-1, 0, 9
Let h(u) = -u**2 - 20*u - 34. Let o be h(-18). Solve -4*p**o - 3*p + 6*p + p = 0.
0, 1
Let y be (((-6)/(-5))/((-165)/100))/(-1). Let j(c) be the second derivative of 12/11*c**3 + y*c**2 + 5/11*c**4 + 7/110*c**5 + 0 - 3*c. Factor j(b).
2*(b + 2)**2*(7*b + 2)/11
Let c = 1363/1011 - 5/337. Factor 2/3 - 2/3*q**4 - c*q + 4/3*q**3 + 0*q**2.
-2*(q - 1)**3*(q + 1)/3
Let s = 39 - 37. Determine d so that -18*d**2 - 10*d + 22*d - 15 + 21*d**s = 0.
-5, 1
Let v be ((2 + 125/(-70))*4)/((-27)/(-42)). Factor -1/3*i**2 - 4/3 + v*i.
-(i - 2)**2/3
Suppose 5*v + 5*c - 34 = -4, 3*c + 7 = 2*v. Let o(b) be the third derivative of 0*b**3 + 0 + 3*b**2 + 0*b + 1/180*b**v - 1/36*b**4. Factor o(j).
j*(j - 2)/3
Let c be (19 - 21)*(-3)/4. Find j such that 0 + 3/2*j**5 - c*j**3 + 0*j + 0*j**4 + 0*j**2 = 0.
-1, 0, 1
Let h be 564/90 - (-2)/15. Let n(u) be the first derivative of -24*u**3 - 4*u - h*u**5 + 20*u**4 + 14*u**2 - 3. Factor n(f).
-4*(f - 1)*(2*f - 1)**3
Let s(d) = -4*d**2 - 197*d - 238. Let x be s(-48). Suppose 1/5*z**4 - 1/5*z**x - 2/5*z**3 + 2/5*z + 0 = 0. Calculate z.
-1, 0, 1, 2
Let p(x) be the second derivative of x**7/3780 + 5*x**4/6 - 9*x. Let d(s) be the third derivative of p(s). Factor d(b).
2*b**2/3
Suppose d = -5*p - 25, -p = -4*d + 9 - 4. Suppose -2*f - 28 + 34 = d. Factor -4/5 + 2/5*n**f - 2/5*n + 4/5*n**2.
2*(n - 1)*(n + 1)*(n + 2)/5
Let m(g) be the second derivative of 2*g**6/15 + 2*g**5/5 - 4*g**4/3 - 4*g**3/3 + 6*g**2 + 50*g. Factor m(j).
4*(j - 1)**2*(j + 1)*(j + 3)
Factor -73/5*h**2 - 58/5*h + 19/5 + 4/5*h**3.
(h - 19)*(h + 1)*(4*h - 1)/5
Suppose 17 = 6*f - 5*v, 4*f - v + 30 - 39 = 0. Suppose 6/7*i + 0*i**f - 4/7 - 2/7*i**3 = 0. What is i?
-2, 1
Factor -4*m - 3*m**2 + m**2 + 5*m - 13*m.
-2*m*(m + 6)
Let b(z) = -2*z + 42. Let k be b(15). Let 14*u**4 - k*u + 2 - 77*u**2 + 2 - 14*u - 46*u**3 + 131*u**2 = 0. Calculate u.
2/7, 1
Let f(k) be the second der