1, 0, 2
Let x(f) be the second derivative of -3/4*f**5 + 28*f + 0*f**2 - 7/4*f**4 + 0 - 3/2*f**3 - 1/10*f**6. Factor x(l).
-3*l*(l + 1)**2*(l + 3)
Let c be (5 + 219/(-42))*200/(-30) + 2. Factor -c - 3*b + 3/7*b**2.
3*(b - 8)*(b + 1)/7
Suppose 5*u - u - 4*n - 4 = 0, 2*n = -u + 7. Factor -h**5 - h**2 + 3*h + 3*h**u + 9*h**2 + h + 3*h**4 - 5*h**4.
-h*(h - 2)*(h + 1)**2*(h + 2)
Let y(i) be the third derivative of 0*i**3 - 54*i**2 + 1/12*i**4 - 1/60*i**5 - 1/120*i**6 + 0 + 0*i. Factor y(r).
-r*(r - 1)*(r + 2)
Suppose 12*x = 7*x - 10. Let q(a) = -a**4 - 2*a**3 - 4*a**2 - 10*a - 1. Let d(w) = -w**4 - w**3 + w**2 - w + 1. Let i(h) = x*d(h) + q(h). Factor i(u).
(u - 3)*(u + 1)**3
Let f = 641/426 + -1/213. Let v(o) be the second derivative of 3*o + 3/4*o**4 - f*o**3 - 3/20*o**5 + 3/2*o**2 + 0. What is h in v(h) = 0?
1
Suppose 0*x + 0 - 1/2*x**3 + 2*x**2 = 0. What is x?
0, 4
Let k(m) be the first derivative of m**6/14 - 3*m**5/5 + 39*m**4/28 - m**3/7 - 3*m**2 + 24*m/7 + 72. Solve k(f) = 0.
-1, 1, 2, 4
Let u(p) be the first derivative of -p**6/600 + p**5/300 + p**4/60 + 2*p**2 - 12. Let c(v) be the second derivative of u(v). Factor c(t).
-t*(t - 2)*(t + 1)/5
Let m(q) be the second derivative of 3/80*q**5 - 1/6*q**3 - 2*q + 0*q**2 + 1/60*q**6 - 1/168*q**7 - 1/12*q**4 + 0. Solve m(d) = 0.
-1, 0, 2
Let t be 2*-2 - (-14 - -10). Solve 5*y**4 - 2*y**3 - 3*y**3 + t*y**3 = 0 for y.
0, 1
Let v(o) be the third derivative of o**7/490 - 3*o**5/280 + o**4/56 - 17*o**3/3 + 10*o**2. Let m(b) be the first derivative of v(b). What is p in m(p) = 0?
-1, 1/2
Suppose 0 = 4*c - 3*t, -19*t + 23*t = c. Let w(i) be the first derivative of 1/3*i**2 - 4/9*i - 10 - 1/18*i**4 + c*i**3. Factor w(u).
-2*(u - 1)**2*(u + 2)/9
Let z(f) be the third derivative of -f**9/45360 - f**8/5040 - f**7/1890 - f**5/6 + 15*f**2. Let l(r) be the third derivative of z(r). Factor l(x).
-4*x*(x + 1)*(x + 2)/3
Let g(t) be the first derivative of -7*t**3/8 - 33*t**2/4 - 9*t/2 - 97. Find p such that g(p) = 0.
-6, -2/7
Let v(s) = -s + 1. Let w be v(1). Suppose w = 2*r - 3*n + 8, -3*r + 7*r + 4 = 3*n. Determine f so that -4/7 + 4/7*f**3 + 2*f - 2*f**r = 0.
1/2, 1, 2
Let j be (-2)/(-16) - ((-4290)/432)/13. Factor 2/9 + 4/3*v**2 + 2/9*v**4 - j*v**3 - 8/9*v.
2*(v - 1)**4/9
Let u be -7*(-6)/105 + 30/175. Find y such that 2/7*y**3 + 4/7*y**2 - u - 2/7*y = 0.
-2, -1, 1
Let w = 455 - 2723/6. Let o(a) be the first derivative of 2/9*a**3 - 1 - w*a**2 + 7/12*a**4 - 2/3*a. Factor o(z).
(z - 1)*(z + 1)*(7*z + 2)/3
Let m(i) be the first derivative of i**6/480 - i**5/40 + 3*i**4/32 - 6*i**3 - 6. Let h(x) be the third derivative of m(x). Let h(j) = 0. Calculate j.
1, 3
Let j(h) be the second derivative of 0 + 1/2*h**4 - 26*h - 4*h**2 - 4/3*h**3. Find x such that j(x) = 0.
-2/3, 2
Suppose -p = -5 - 4. Let o = p + -6. Suppose 2/7*q**o - 2/7*q - 2/7*q**2 + 2/7 = 0. Calculate q.
-1, 1
Factor 1273/4*v**3 + 5/4*v**4 + 107865/4*v**2 + 3027275/4*v - 614125/2.
(v + 85)**3*(5*v - 2)/4
Factor 21/4*v - 9/2 - 2*v**2 + 1/4*v**3.
(v - 3)**2*(v - 2)/4
Let w = 54 - 49. Factor -48*c**3 - 76*c**2 + c**5 - 4*c**w - 24*c**4 + 76*c**2.
-3*c**3*(c + 4)**2
Factor -12/7 + 198/7*i**3 - 167/7*i**2 + 81/7*i**4 - 100/7*i.
(i - 1)*(i + 3)*(9*i + 2)**2/7
Let n(x) be the second derivative of x**5/150 - 7*x**4/30 - 8*x**3/15 + 44*x**2/15 + 2*x - 88. Solve n(c) = 0.
-2, 1, 22
Let c(x) be the second derivative of 0 - 1/5*x**5 + 2/3*x**3 + 2/3*x**4 - 9*x - 4*x**2. Let c(h) = 0. What is h?
-1, 1, 2
Let j = -69 - -66. Let k be 18/(-21)*(j + (-15)/(-12)). What is s in 9*s**2 - 6*s + k*s**4 - 6*s**3 + 3/2 = 0?
1
Let a(g) be the second derivative of -5*g**7/21 - g**6/6 + 7*g**5/2 - 25*g**4/12 - 5*g**3 - 18*g + 2. Determine k so that a(k) = 0.
-3, -1/2, 0, 1, 2
Let l(r) be the second derivative of -11*r + 0 + 0*r**3 + 0*r**2 - 1/10*r**5 + 1/3*r**4. Find a such that l(a) = 0.
0, 2
Let w(b) be the second derivative of -b**4/18 - 10*b**3/9 - 3*b**2 - 53*b. Factor w(q).
-2*(q + 1)*(q + 9)/3
Let k(w) be the second derivative of 0*w**2 - 1/6*w**3 - 1/6*w**4 - 2*w - 1/20*w**5 + 0. Factor k(l).
-l*(l + 1)**2
Let c = 30 + -17. Suppose -m = -2*r + c, 0 = 4*r + 4*m + 1 + 3. Determine s, given that 3*s - 8*s + 2*s**2 + r - s = 0.
1, 2
Determine r so that 5 + 1/5*r**2 + 2*r = 0.
-5
Let u(x) be the third derivative of -x**7/1050 + 7*x**6/600 - 2*x**5/75 - 2*x**4/15 - 248*x**2 + 2. Factor u(j).
-j*(j - 4)**2*(j + 1)/5
Let -52*v**2 - 5*v**3 + 2*v**4 - 31*v**3 - 72*v + 54*v**3 + 176 = 0. Calculate v.
-11, -2, 2
Let p = 70 - 87. Let q = p - -17. Factor -2/7*j**3 + 0*j + q*j**2 - 2/7*j**5 + 0 - 4/7*j**4.
-2*j**3*(j + 1)**2/7
Let c(v) = -v**2 + 0 + v + 2*v**2 + v**3 + 4. Let s be c(0). Solve -o**2 - 8*o**3 + 14*o**4 - o**5 + 5*o**2 - 9*o**s = 0.
0, 1, 2
Let j(z) be the first derivative of -3*z**4/28 - z**3/3 - z**2/7 - 9. Factor j(a).
-a*(a + 2)*(3*a + 1)/7
Let c be 144/(-252) + 214/56 + -1. What is h in -c*h**2 - 1/2*h + 0 = 0?
-2/9, 0
Let r(u) be the second derivative of -9*u + 1/10*u**5 + 0*u**4 + 0 + 0*u**2 - 1/3*u**3. Factor r(p).
2*p*(p - 1)*(p + 1)
Let d(y) be the first derivative of -5/8*y**4 + 0*y**3 + 0*y + 4 + 0*y**5 + 1/12*y**6 + y**2. What is b in d(b) = 0?
-2, -1, 0, 1, 2
Let k(c) = -c**2 + 2*c - 2. Let f(g) = -4*g**2 + 44*g + 58. Let n(a) = -f(a) + 7*k(a). Factor n(x).
-3*(x + 4)*(x + 6)
Determine g so that -180*g**2 + 160*g - 8*g**3 - 4*g**4 + 24646 - 24862 - 36*g**3 - 484*g = 0.
-3, -2
Let a(o) be the third derivative of -o**7/280 - 3*o**6/160 + 3*o**5/80 + 11*o**4/32 + 3*o**3/4 + 8*o**2 + 2*o. Let a(c) = 0. Calculate c.
-3, -1, 2
Let f = 419/5604 - -4/467. Let b(a) be the third derivative of 0 - f*a**4 - 1/3*a**3 + 0*a + 1/240*a**6 + 1/120*a**5 + a**2. Factor b(g).
(g - 2)*(g + 1)*(g + 2)/2
Suppose -157*a = -152*a - 10. Let w(j) be the third derivative of 0 + 0*j - 1/3*j**3 + 6*j**a - 1/270*j**5 - 1/18*j**4. Factor w(h).
-2*(h + 3)**2/9
Let n(u) = -6*u**2 - 43*u + 35. Let z(o) = -3*o**2 - 22*o + 17. Let w(m) = -4*n(m) + 7*z(m). Solve w(p) = 0 for p.
-7, 1
Suppose 4*y - 16 = f - 3*f, -2*f = 2*y - 4. Suppose 10 - y = x. Factor 0 - 6/7*n**x - 10/7*n**2 - 2/7*n - 2*n**3.
-2*n*(n + 1)**2*(3*n + 1)/7
Let k = 483 - 4829/10. Let u(l) be the first derivative of -k*l**2 + 0*l**3 + 1/20*l**4 + 4 + 0*l. Factor u(y).
y*(y - 1)*(y + 1)/5
Let p(h) be the first derivative of -2*h**3/3 - 18*h**2/5 - 18*h/5 + 81. Suppose p(m) = 0. What is m?
-3, -3/5
Suppose 16 - 1 = -4*h - 5*b, 9 = 4*h - 3*b. Let p(i) be the first derivative of 0*i**3 + h*i - 2 + 1/8*i**4 + 3/20*i**5 + 1/24*i**6 + 0*i**2. Factor p(g).
g**3*(g + 1)*(g + 2)/4
Let t(b) = -7*b**2 - 467*b + 132. Let j(x) = 21*x**2 + 1401*x - 395. Let n(d) = -2*j(d) - 7*t(d). Solve n(g) = 0 for g.
-67, 2/7
Find a such that 18 + 3/5*a**3 + 96/5*a**2 + 183/5*a = 0.
-30, -1
Let j be ((-8)/(-3))/((-10)/24*-2). Factor j*b**4 - 2*b + 0 + 32/5*b**2 - 2/5*b**5 - 36/5*b**3.
-2*b*(b - 5)*(b - 1)**3/5
Determine j so that 9*j**3 - 4*j**3 - 29*j - 40*j**2 + 25*j + 43*j + 41*j = 0.
0, 4
Let 0 + 4/7*u**4 + 1/7*u**3 - 6/7*u**2 + 0*u + 1/7*u**5 = 0. What is u?
-3, -2, 0, 1
Let y(j) be the second derivative of -j**4/54 + 4*j**3/27 - 70*j. Factor y(k).
-2*k*(k - 4)/9
Let n(r) be the first derivative of -110*r**3/9 - 71*r**2/9 - 4*r/9 + 55. Factor n(k).
-2*(5*k + 2)*(33*k + 1)/9
Let t be (9/(45/10))/((-1)/(-2)). Solve 3*v**4 + 13*v**4 - 5*v**5 - v**t - 15*v**3 + 5*v**2 = 0 for v.
0, 1
Let n(k) be the second derivative of -k**4/48 + 2*k**3/3 + 17*k**2/8 - 29*k. Determine u, given that n(u) = 0.
-1, 17
Let p(s) be the first derivative of 49*s**4/30 + 298*s**3/45 + 104*s**2/15 + 8*s/15 - 418. Find r, given that p(r) = 0.
-2, -1, -2/49
Let u = -34352 + 34352. Factor u*g + 2/5*g**4 + 2/5*g**3 + 0 - 4/5*g**2.
2*g**2*(g - 1)*(g + 2)/5
Suppose 58*j = 53*j + 20. Factor j*a**2 + 3*a**2 - 4*a**2 + 4*a - a**2.
2*a*(a + 2)
Let r(j) = 5*j + 25. Let n be r(-5). Let g = -2/163 + 171/652. Factor n + i**2 + g*i**3 + i.
i*(i + 2)**2/4
Let j(a) = 2*a**3 - a. Let l be j(1). Suppose 5 + l = 2*r. Suppose -5*o**r + 6*o**3 - 2*o**2 + o**3 = 0. What is o?
0, 1
Suppose 23 = -4*n + 59. Let x be (96/(-64))/(n/(-32)). Solve -1/3*a**2 - x + 8/3*a = 0.
4
Let 2/7*s**3 + 2 + 30/7*s + 18/7*s**2 = 0. What is s?
-7, -1
Suppose -i + 4*r - 40 = 9*r, -5*r = 2*i + 35. Factor 6/5*k**i + 0*k + 1