 0 = 0.
-1, 0, 1/4, 1
Suppose -8*s = 1 - 17. Solve 3*y - y**2 + 4*y**2 - s*y**2 = 0.
-3, 0
Let s(w) be the third derivative of w**5/3 - 4*w**4/3 + 2*w**3 - 17*w**2 - 2*w. Factor s(a).
4*(a - 1)*(5*a - 3)
Let j be (590/1062)/((-10)/(-48)). Let j*k - 2/3*k**3 - 4/3*k**2 + 16/3 = 0. What is k?
-2, 2
Let g(x) be the second derivative of 17576*x**6/3 - 15041*x**5/5 - 1287*x**4/4 - 307*x**3/24 - x**2/4 + 89*x + 2. Find a, given that g(a) = 0.
-1/52, 2/5
Let k(p) be the second derivative of -1/2*p**4 + 19*p + 0*p**2 - 1/2*p**3 + 33/80*p**5 + 0 - 3/40*p**6. Suppose k(i) = 0. Calculate i.
-1/3, 0, 2
Let d(r) = 2*r**4 - 8*r**3 + 4*r**2 - 2*r + 2. Let w(b) = -4*b**4 + 17*b**3 - 7*b**2 + 4*b - 5. Suppose -3 = t - 7. Let s(n) = t*w(n) + 10*d(n). Factor s(p).
4*p*(p - 1)**3
Let t = 77/4 + -19. Let w = 67/82 + 28/41. What is u in -9/4 - t*u**2 + w*u = 0?
3
Factor -1/2*k - 13/4*k**2 - 7/4*k**5 + 0 - 27/4*k**3 - 23/4*k**4.
-k*(k + 1)**3*(7*k + 2)/4
Let d be (68/(-510))/(((-15)/18)/5). Let k(f) be the first derivative of -2*f**4 + 0*f + d*f**5 + 8 - 1/9*f**6 + 0*f**2 + 16/9*f**3. Factor k(s).
-2*s**2*(s - 2)**3/3
Let l be (1/3)/(2/(-30)). Let u be (0 + (-2)/9)/(l/30). Suppose -u - 10/3*x + 14/3*x**2 = 0. Calculate x.
-2/7, 1
Factor -3/4*t**2 - 231/4*t + 0.
-3*t*(t + 77)/4
Let -51/4*o + 27/2 - 3/4*o**2 = 0. What is o?
-18, 1
Suppose -3*o - 4*d = -0*o - 15, -o + d = -5. Let v(i) be the third derivative of 1/390*i**o - 2*i**2 + 1/39*i**3 - 1/78*i**4 + 0 + 0*i. Factor v(l).
2*(l - 1)**2/13
Let f(d) = 9*d**2 + 26*d + 3. Let p(h) be the first derivative of -9*h**3 - 79*h**2/2 - 10*h + 54. Let l(t) = -8*f(t) - 3*p(t). Factor l(z).
(z + 3)*(9*z + 2)
Let h(u) = -3*u - 1. Let n be h(2). Let p be (4*1)/(-4 - -7 - n). Find t such that 0 + p*t**2 - 2/5*t**3 + 0*t = 0.
0, 1
Factor -27/7*j + 3/7*j**2 + 0.
3*j*(j - 9)/7
Let t be 2/(104/(-39))*(-8)/3. Factor 0*s + 0 - 40/11*s**3 - 8/11*s**t - 50/11*s**4.
-2*s**2*(5*s + 2)**2/11
Let x(o) be the second derivative of -o**7/168 - o**6/40 + o**5/80 + 11*o**4/48 + o**3/2 + o**2/2 + 23*o - 2. Solve x(y) = 0.
-2, -1, 2
Factor -4*y**3 - 302 - 108*y**2 + 202 - 161*y - 43*y.
-4*(y + 1)**2*(y + 25)
Let y(z) = z - 1. Let n be y(4). Let t(d) = 7*d**2 - 5*d - 3. Let b be t(n). Determine h, given that 16*h**2 - b + 9*h**2 + 4*h**3 + h**3 + 15*h = 0.
-3, 1
Let o(i) = -2*i**2 - 146*i - 1254. Let c be o(-10). Suppose 15/2*g**2 + c*g - 3/2 = 0. Calculate g.
-1, 1/5
Let g = -63395/9 - -7051. Let b(d) be the first derivative of 0*d + 4/3*d**2 - 5 + 77/6*d**4 + g*d**3 + 98/15*d**5. Factor b(q).
2*q*(q + 1)*(7*q + 2)**2/3
Factor 15*m**3 + 103343*m - 103399*m - 5*m**3 - 14*m**2 + 24.
2*(m - 3)*(m + 2)*(5*m - 2)
Let m(u) be the second derivative of -u**4/24 + 17*u**3/6 - 289*u**2/4 + 36*u - 1. Solve m(p) = 0.
17
Let w be (-70)/900 + (-2)/(-18). Let i(c) be the second derivative of 0 - w*c**4 + 1/15*c**3 + 2/5*c**2 + 3*c. Let i(z) = 0. What is z?
-1, 2
Let y(u) be the first derivative of 2/65*u**5 + 2/39*u**3 - 1/13*u**4 - 12 + 0*u**2 + 0*u. Solve y(t) = 0 for t.
0, 1
Let v(j) = -j**3 - 8*j**2 - 24*j - 11. Let f be v(-14). Let f - 2*u + u**2 - 1501 = 0. Calculate u.
0, 2
Let h(j) be the first derivative of j**6/3 - 46*j**5/5 + 57*j**4 - 424*j**3/3 + 136*j**2 - 1018. Find v, given that h(v) = 0.
0, 2, 17
Let u = 1815/56 - 257/8. Find s such that 2 - u*s**2 - 12/7*s = 0.
-7, 1
Let d(n) be the third derivative of n**5/2 + 29*n**4/8 - 3*n**3/2 + n**2 + 33*n. Suppose d(z) = 0. What is z?
-3, 1/10
Let w(y) be the second derivative of -y**8/2240 - y**7/280 + y**6/60 - 8*y**4/3 - 6*y. Let m(r) be the third derivative of w(r). Find n such that m(n) = 0.
-4, 0, 1
Let s(z) be the first derivative of -z**5/30 - z**4/4 - 2*z**3/3 + 3*z**2 - 8. Let y(w) be the second derivative of s(w). Determine k so that y(k) = 0.
-2, -1
Let x(s) be the second derivative of -s**7/42 + 7*s**6/15 - 3*s**5 + 25*s**4/6 + 125*s**3/6 - 18*s + 2. Let x(h) = 0. What is h?
-1, 0, 5
Factor 255*y**2 + 61*y - 267*y**2 - 49*y + 3*y**3.
3*y*(y - 2)**2
Suppose 5*x - 2*o + o - 22 = 0, 0 = 3*x + o - 10. Suppose -44*d + 26 + 8*d - x*d**2 + 14 = 0. Calculate d.
-10, 1
Suppose 171 = 5*t - 169. Let k = t - 203/3. Factor -k*b**2 + 2/3 - 1/3*b.
-(b - 1)*(b + 2)/3
Let f(x) be the first derivative of 3*x**5/140 + 5*x**4/14 + 25*x**3/14 - 11*x - 8. Let u(n) be the first derivative of f(n). Suppose u(q) = 0. What is q?
-5, 0
Let a = 80 + -74. Let p(d) be the first derivative of 1/2*d**a + 0*d + 9/2*d**4 - 4*d**3 - 12/5*d**5 + 3/2*d**2 + 4. Factor p(k).
3*k*(k - 1)**4
Let x(v) = v**2 - 6*v - 4. Let t be x(7). Suppose 0*h**2 + 15*h**2 + 49 + 41*h - 20*h**4 - 16*h - 44 - 25*h**t = 0. Calculate h.
-1, -1/4, 1
Let v(q) be the second derivative of q**4/60 + 11*q**3/3 + 605*q**2/2 - 99*q. Factor v(k).
(k + 55)**2/5
Find i such that 9/7*i**2 + 3/7 - 3/7*i**3 - 9/7*i = 0.
1
Suppose -12*w = 4 - 64. Let z(g) be the second derivative of 0*g**3 + 0 + 7*g + 0*g**2 + 1/6*g**4 + 3/10*g**w. Factor z(c).
2*c**2*(3*c + 1)
Suppose -12*r + 3/2*r**4 + 0 + 18*r**2 - 9*r**3 = 0. Calculate r.
0, 2
Find l such that 2700/7*l**2 + 101250/7 + 2/7*l**4 - 27000/7*l - 120/7*l**3 = 0.
15
Let u(p) = 2*p**3 - p + 1. Let x be u(1). What is n in -2*n - 2*n**2 + x*n + 4*n = 0?
0, 2
Let r(n) be the first derivative of -n**5/5 - 4*n**4 - 28*n**3/3 - 220. Factor r(h).
-h**2*(h + 2)*(h + 14)
Let u(s) be the third derivative of -5/12*s**4 + 0 - 1/252*s**8 + 29/72*s**5 + 1/21*s**7 - 2*s - 20*s**2 - 5/24*s**6 + 1/4*s**3. Find g, given that u(g) = 0.
1/2, 3
Let t = 49/72 + 47/72. Factor 1/3*i**4 + 0 + 0*i**2 - t*i + i**3.
i*(i - 1)*(i + 2)**2/3
Let q be (12 - ((-11858)/84)/(-11))/((-2)/45). Let 15/2*v + 3/4*v**2 + q = 0. What is v?
-5
Let t(d) be the first derivative of -3*d**7/1540 - d**6/180 - d**5/330 + 7*d**3/3 - 3*d**2/2 - 22. Let u(x) be the third derivative of t(x). Factor u(i).
-2*i*(i + 1)*(9*i + 2)/11
Let d be 1 - (-3)/(-25)*(10 - -2). Let p = 177/175 + d. Factor -p - 4*g**2 + 22/7*g.
-2*(2*g - 1)*(7*g - 2)/7
Suppose 4*c - 2*z - 14 = 0, z + 2 = 3. Suppose -4 = -c*l + 8. Find r such that r**5 + 0*r**5 - 16*r**l + r + 14*r**3 = 0.
-1, 0, 1
Let i = 391/2352 - 8/49. Let z(t) be the third derivative of -2*t**2 + 1/24*t**4 - 2/105*t**7 + 1/20*t**6 + 0 + 0*t**3 + 0*t - 1/15*t**5 + i*t**8. Factor z(n).
n*(n - 1)**4
Suppose 11*q = 8*q + 18. Suppose -1 = -q*l + 11. What is x in 8/11*x**l + 0 + 8/11*x + 2/11*x**3 = 0?
-2, 0
Suppose -3*f**3 - 12*f + 41*f**4 + 8*f**3 + 2*f**2 + 0*f**3 + 3*f**3 - 39*f**4 = 0. Calculate f.
-3, -2, 0, 1
Let x(l) be the third derivative of l**8/84 - 4*l**7/7 + 12*l**6 - 144*l**5 + 1080*l**4 - 5184*l**3 - 35*l**2 - l. Factor x(d).
4*(d - 6)**5
Factor 2/3*a**3 + 26/3*a**2 + 110/3*a + 50.
2*(a + 3)*(a + 5)**2/3
Let h(f) = f**5 + f**2. Let l(n) = 18*n**5 + 6*n**4 - 15*n**3 - 3*n**2. Let i(z) = -15*h(z) + l(z). Suppose i(k) = 0. What is k?
-3, -1, 0, 2
Let p = 32/31 + -420/527. Solve 2/17*s**5 - 2/17*s**4 + 2/17*s - 4/17*s**3 + p*s**2 - 2/17 = 0.
-1, 1
Let f = 209 + -210. Let j(c) = c**4 + c**3 + c. Let x be 1 + 2*(-2)/(-1). Let l(s) = 4*s**5 + 7*s**4 + 5*s**3 + 5*s. Let b(y) = f*l(y) + x*j(y). Factor b(g).
-2*g**4*(2*g + 1)
Let h(a) be the first derivative of -2*a**5/5 - a**4/4 + 2*a**3/3 + a**2/2 + 137. What is r in h(r) = 0?
-1, -1/2, 0, 1
Let z(m) = -7*m**3 + 77*m**2 + 68*m - 153. Let i(q) = 3*q**3 - 38*q**2 - 35*q + 76. Let n(s) = -15*i(s) - 6*z(s). Determine y so that n(y) = 0.
-2, 1, 37
Let k = 21 - 3. Suppose 3*z = -4*b + 22, -z - b + k = 3*b. Factor -5*f**z + 8*f**2 - 3*f**2 + f - f**2.
-f*(f - 1)
Let f be ((-115)/345)/((-1)/(-3) + -1). Find y, given that y**2 + 0*y - 1/2*y**3 - f*y**4 + 0 = 0.
-2, 0, 1
Let d = 71 - 54. Let p = -17 + d. Solve p*f**2 + 0 + 0*f - 1/7*f**4 - 1/7*f**3 = 0.
-1, 0
Let w(u) = -52*u**2 + 4*u - 4. Let x(f) = f**3 - 52*f**2 + 3*f - 3. Let l(o) = -3*w(o) + 4*x(o). Factor l(s).
4*s**2*(s - 13)
Let v be 21/30 - (-2)/(-4). Let q be 0 - -1 - (14 - 5 - (-11)/(-1)). Factor -2/5*h**q + 1/5*h + v*h**4 + 1/5 - 2/5*h**2 + 1/5*h**5.
(h - 1)**2*(h + 1)**3/5
Let x(d) = d**5 - d**4 - d. Let h(p) = 3*p + 5*p**4 - 4*p**4 + 0*p**3 - p**3 - 4*p. Let b(w) = -2*h(w) + 2*x(w). Factor b(c).
2*c**3*(c - 1)**2
Let o(u) be the first derivative of 3*u**3 + 3 + 1/4*u**4 + 12*u**2 + 16*u. Factor o(v).
(v + 1)*(v + 4)**2
Let