 3)*(p + 1)**2/5
Suppose -3*c - 16*k - 321 = 0, -89 = -c + 289*k - 285*k. Suppose 4*r - 37*r**3 + 9*r**c - 71/4*r**4 + 72*r**2 - 4 = 0. Calculate r.
-2, -1/4, 2/9, 2
Let x(q) be the third derivative of -q**5/270 + q**4/36 + 2*q**2 - 53*q + 1. Let x(f) = 0. What is f?
0, 3
Let m = -2/3803 - -7612/11409. Let w(c) be the first derivative of 8*c - m*c**3 - 12 + 3*c**2. Solve w(a) = 0 for a.
-1, 4
Suppose 14*g = 17*g + z - 4, -2*g = -3*z - 21. Factor 31*f + 4*f**g + 8*f**4 - f**2 - 35*f - 7*f**2.
4*f*(f - 1)*(f + 1)*(2*f + 1)
Let q(p) be the first derivative of 56*p**5/5 + 79*p**4/4 + 25*p**3/3 + p**2 + 579. Find i such that q(i) = 0.
-1, -2/7, -1/8, 0
Factor 5*b - 56*b**2 + 224 - 319899*b**3 + 11*b + 319895*b**3.
-4*(b - 2)*(b + 2)*(b + 14)
Let g(i) = i**2 - 2*i - 1. Let o(x) = -x**2 - 4*x + 33. Let c be o(-8). Let b(f) = -16*f**2 + 144*f + 696. Let a(w) = c*b(w) + 20*g(w). Factor a(j).
4*(j + 13)**2
Let k = 4/6057 + -444184/6057. Let u = k + 74. Find w, given that -7/3*w**2 - u*w**3 - 7/3*w - 2/3 = 0.
-2, -1, -1/2
Let i(n) = 3*n**4 - 17*n**3 - 29*n**2 + 19*n + 24. Let k(a) = -12*a**4 + 69*a**3 + 120*a**2 - 78*a - 99. Let l(t) = -9*i(t) - 2*k(t). Factor l(s).
-3*(s - 6)*(s - 1)*(s + 1)**2
Let p be (-3*(-4)/(-18))/((28/189)/(-1)). Solve -3*l + 15/4*l**3 + p*l**2 + 3/4*l**4 - 6 = 0.
-2, 1
Let f(o) be the third derivative of o**9/15120 + o**8/2100 + o**7/1050 - 4*o**3/3 - 120*o**2. Let p(q) be the first derivative of f(q). Solve p(x) = 0.
-2, 0
Let r(l) be the third derivative of -l**7/840 - 19*l**6/240 - 7*l**4/3 + 7*l**2 + 1. Let g(b) be the second derivative of r(b). Find p such that g(p) = 0.
-19, 0
Let u be (-15)/60 + 2493/4. Let o be 6 - (-5 + u/63). Let -4/9*b + o*b**2 + 0 = 0. Calculate b.
0, 2/5
Let m be (-30)/72*(-45)/225. Let z(x) be the second derivative of 3/20*x**5 - 29*x - 1/2*x**3 + 0 - m*x**4 - 1/30*x**6 + x**2. Factor z(r).
-(r - 2)*(r - 1)**2*(r + 1)
Let g be (1/(-10))/((-4128)/2580)*20. Find w such that -g*w**2 + 1/4*w**3 + 0*w + 0 = 0.
0, 5
Let u = 112826/123 + -21810/41. Solve 1/3*z**2 - 68/3*z + u = 0 for z.
34
Let q(d) be the first derivative of -3*d**4/4 + 294*d**3 - 876*d**2 - 2649. Factor q(c).
-3*c*(c - 292)*(c - 2)
Let g be -6*(-7)/((-21)/(-4)). Suppose 0 = 5*x + 4*d - g, 10*x + 4 = 8*x + 2*d. Suppose -1/5*m**3 + 1/5*m**2 + 0*m + x = 0. What is m?
0, 1
Solve 3*o**2 - 118/3*o + 368/3 = 0 for o.
46/9, 8
Let c(n) be the third derivative of n**6/360 + 1061*n**5/90 + 1125721*n**4/72 - 57*n**2 - 6*n. Suppose c(s) = 0. Calculate s.
-1061, 0
Let i(n) be the second derivative of 1/16*n**5 + 1/24*n**6 + 0*n**3 - n + 17 + 0*n**2 - 5/24*n**4. Find u such that i(u) = 0.
-2, 0, 1
Let x(g) = g**2 - g + 1. Let p = -183 + 184. Let i(z) = 3*z**2 - 39*z + 1. Let h(t) = p*i(t) - x(t). Solve h(d) = 0 for d.
0, 19
Let j = -175105/2 + 89390. Let w = -1813 + j. Solve 19/2*k**4 + 45/2*k**3 + 12*k + 3/2*k**5 + 2 + w*k**2 = 0.
-2, -1, -1/3
Let n = 46460 - 46457. Factor -26/11*x**4 + 4/11*x + 0 - 18/11*x**n - 10/11*x**5 + 2/11*x**2.
-2*x*(x + 1)**3*(5*x - 2)/11
Let q = 181593 - 181591. Solve 9 + 33/4*w**3 + 15/2*w**4 - 183/4*w**q - 6*w = 0 for w.
-3, -1/2, 2/5, 2
Let p(o) = -5*o**2 - 55*o - 10. Suppose 15 = -15*c + 12*c. Let l(t) = -5*t**2 - 56*t - 8. Let h(f) = c*l(f) + 4*p(f). Factor h(q).
5*q*(q + 12)
Let c(h) = -h - 1. Let o be 2/((-50)/(-45)) + 2/10. Let v(r) = r**3 + 7*r**2 - 7*r - 77. Let x(a) = o*c(a) - v(a). Let x(q) = 0. Calculate q.
-5, 3
Let o(f) be the first derivative of -f**4/22 + 4*f**3/3 - 4244. Find m such that o(m) = 0.
0, 22
Let i be (2 + 1)*(-44)/(-30). Let d be 36/(-225)*-100*18/144. Determine u, given that -26/5*u + 4/5 + i*u**d = 0.
2/11, 1
Let a be -164 - -171 - -1*(3 - 4)*5. Find f, given that 1/3*f**a + f + 0 = 0.
-3, 0
Let d be 4/(-50) + 19700/11875. Let l = d - 101/76. Find s, given that l*s**3 + 1/4*s**2 + 0*s + 0 = 0.
-1, 0
Let y(f) be the first derivative of 1/30*f**4 - 4/15*f**2 + 8/15*f - 17 - 2/45*f**3. Factor y(a).
2*(a - 2)*(a - 1)*(a + 2)/15
Let u(p) be the third derivative of 1/12*p**5 - 35/24*p**4 + 5*p**3 + 0 - 3*p**2 + 25*p. Let u(y) = 0. What is y?
1, 6
Let t(d) = -6*d**2 + 25*d - 14. Let b(j) = 25*j + 11120*j**2 - 5 - 7 - 11125*j**2. Let x(s) = 7*b(s) - 6*t(s). Find l, given that x(l) = 0.
-25, 0
Let g = 891 + -887. Suppose -t + 2 = v, 24*t + g*v = 19*t + 11. Factor 0*f**t + 0*f + 0 - 1/3*f**2 + 1/3*f**4.
f**2*(f - 1)*(f + 1)/3
Suppose 626*q = 624*q - 24. Let a be ((-33)/264)/(2/q). Determine j so that 3/4*j**2 + 0 + 0*j - a*j**3 = 0.
0, 1
Let d = 1126742 + -1126742. Let d - 21/2*u**2 + 5/4*u**3 + 4*u = 0. Calculate u.
0, 2/5, 8
Find z such that 72/5 - 3/5*z**3 - 9/5*z**2 + 6*z = 0.
-4, -2, 3
Let p = -32 - -47. Suppose 164*s + 19*s - 618 = -23*s. Suppose -6*x**s + 22*x - 46*x + p*x**2 + 3*x**3 + 12 = 0. Calculate x.
1, 2
Suppose -b - 11 = 3*r, b + 2*b = -3*r - 27. Let t be b/20*-5 - 0. Suppose -42*n + 15*n**2 + 54 - 2*n**3 - 39*n + 3*n**t + 27*n = 0. What is n?
3
Let a = -35 - -27. Let k be -8*1/2 - a. Let u(f) = 4*f**2 - 6*f + 5. Let g(s) = s**2 - 1. Let w(b) = k*u(b) - 12*g(b). Let w(r) = 0. Calculate r.
2, 4
Let l(x) be the third derivative of -1/15*x**5 + 0 - 5/2*x**4 + x + 68/3*x**3 + 15*x**2. Determine r, given that l(r) = 0.
-17, 2
Factor 2768 + 363*x**3 + 2764*x**2 + 4209*x + 1325*x - 365*x**3.
-2*(x - 1384)*(x + 1)**2
Let y = 9 - 7. Let b(q) = 4*q**2 + q - 12. Let h be b(-3). Factor 21*u + 18 + 1 + 5*u**y - 51*u + h.
5*(u - 4)*(u - 2)
Let d(s) be the third derivative of -25*s**8/1512 - 41*s**7/315 - 43*s**6/108 - 157*s**5/270 - s**4/3 + 4*s**3/27 - 1426*s**2. What is p in d(p) = 0?
-2, -1, 2/25
Let g(q) = -5*q**3 + 5*q - 3. Let i be g(4). Let l = 303 + i. Factor l + 8/7*o**2 + 16/7*o + 1/7*o**3.
o*(o + 4)**2/7
Let n(j) be the second derivative of -j**3 + 25*j**2 - 7*j + 17. Let y be n(8). Factor 4*o**2 + 1/2*o**4 - y*o - 5/2*o**3 + 0.
o*(o - 2)**2*(o - 1)/2
Let u(y) = y**3 - 40*y**2 - 90*y - 3. Let r(v) = 5*v**3 - 115*v**2 - 270*v - 10. Let p(m) = 3*r(m) - 10*u(m). Factor p(a).
5*a*(a + 2)*(a + 9)
Let j(i) be the third derivative of -i**6/60 - 61*i**5/50 - 53*i**4/30 + 24*i**3/5 + 2*i**2 - 12*i + 183. Solve j(m) = 0 for m.
-36, -1, 2/5
Let v(b) = 430*b**2 - 1485*b + 4015. Let u(y) = -49*y**2 + 165*y - 446. Let r(o) = 35*u(o) + 4*v(o). Factor r(h).
5*(h - 30)*(h - 3)
Let k(l) be the first derivative of 5*l**6/6 + 831*l**5 + 428475*l**4/2 - 2595830*l**3/3 + 2604165*l**2/2 - 869445*l + 459. Determine y, given that k(y) = 0.
-417, 1
Factor 26*c + 0*c + 52*c + 23*c + c**2 + 64 + 36.
(c + 1)*(c + 100)
Let a = 149 - 139. Suppose -2*o + a = 5*n, n + 2*o = -8 + 10. Let 2*i**n - 2*i**3 + 0 + 2/3*i**4 - 2/3*i = 0. What is i?
0, 1
Suppose 0 = 12*n - 6*n + 60. Let k be ((-4)/n)/((-7)/(-35)). Suppose -s - s**2 + 0*s**2 - 2*s**k + 4*s**3 = 0. Calculate s.
-1/4, 0, 1
Let j = 1038 - 997. Let y = 43 - j. Determine m, given that 1/4*m**y + 0 + 3/4*m = 0.
-3, 0
Let y be -10 - -11 - (-3 - (-1 - -1)). Factor y*m + 4*m - m**2 - 79 + 72.
-(m - 7)*(m - 1)
Let h(d) be the second derivative of 3*d**2 + 1/5*d**6 + 1/3*d**3 + 6 - 6*d + 1/21*d**7 - d**4 - 1/5*d**5. Suppose h(o) = 0. Calculate o.
-3, -1, 1
Let u = -21078 + 148257/7. Let z = 102 - u. Factor 3/7*i**3 - 3/7*i + 3/7*i**2 - z.
3*(i - 1)*(i + 1)**2/7
Suppose 24 = p + p. Let h(o) = -5*o**3 - 22*o**2 + 11*o - 4. Let y be h(-5). Find f such that y*f + 4*f**3 + 8 - f**3 + p*f**2 - f**3 + 2*f = 0.
-4, -1
Let f = 983 + -980. Let x(p) be the first derivative of -3/25*p**5 - 1/10*p**4 + 0*p + 0*p**2 + 1/15*p**f + 15. Factor x(z).
-z**2*(z + 1)*(3*z - 1)/5
Let f(j) be the first derivative of 2*j**3/9 + j**2 - 180*j + 3409. Factor f(x).
2*(x - 15)*(x + 18)/3
Let o(b) = b**4 - b**3 + b**2 + b. Let h = -70 + 69. Let k(x) = -9*x**2 - 3*x - 7*x - 3*x**4 + 9*x**3 + x. Let a(s) = h*k(s) - 6*o(s). Factor a(z).
-3*z*(z - 1)*(z + 1)**2
Let g be (0 - -7)/(108/7116). Let l = -461 + g. Factor -4/9*i + l*i**2 - 2/3.
2*(i - 3)*(i + 1)/9
Let r be -3*(-2)/10*14780/30 + (21 - 25). Factor -756/5*d + r + 98/5*d**2.
2*(7*d - 27)**2/5
Let t(v) be the first derivative of 5*v**8/1008 + 16*v**7/315 + 19*v**6/120 + v**5/10 - 45*v**2/2 + 93. Let p(z) be the second derivative of t(z). Factor p(q).
q**2*(q + 3)**2*(5*q + 2)/3
Let w(n) be the first derivative of n**7/1120 + n**6/120 - n**5/32 - 7*n**