 4*u**7/105 + 11*u**6/60 - 19*u**5/45 - 11*u**4/3 - 8*u**3 + 14*u**2 + 2*u. Suppose a(j) = 0. Calculate j.
-6, -1, 2
Factor 137*a - 11*a**2 + 3*a**3 - 22*a**2 - 65*a.
3*a*(a - 8)*(a - 3)
Factor -10136*d**4 + 20*d + 47*d**2 + 33*d**2 + 10116*d**4 - 5*d**3.
-5*d*(d - 2)*(d + 2)*(4*d + 1)
Let k(r) be the first derivative of r**6/180 + r**5/20 - r**4/3 + 11*r**3/3 - 17. Let w(u) be the third derivative of k(u). Factor w(a).
2*(a - 1)*(a + 4)
Let z(k) = -k**3 + k**2 - k + 1. Let q = 6 + -4. Let f(y) = -3*y**3 - 2*y**2 - 2*y + 2. Let p(j) = q*z(j) - f(j). Determine g, given that p(g) = 0.
-4, 0
Let m(s) be the second derivative of 2*s**4 + 11/10*s**5 + 0 - 17*s - 4/5*s**6 - 4/3*s**3 - 1/3*s**7 + 0*s**2. Find u such that m(u) = 0.
-2, -1, 0, 2/7, 1
Let l(y) be the first derivative of y**3/2 + 177*y**2/2 + 10443*y/2 - 28. Factor l(z).
3*(z + 59)**2/2
Factor 3/7*q**4 - 24/7 - 69/7*q - 9*q**2 - 15/7*q**3.
3*(q - 8)*(q + 1)**3/7
Let d(k) be the second derivative of -2*k**7/21 - 2*k**6/5 + 16*k**5/5 - 4*k**4 - 30*k - 5. Let d(f) = 0. What is f?
-6, 0, 1, 2
Let s be 5*9/15 + 1. Suppose t = 2*t - s. Find c, given that 13*c**t - c**4 + 9*c**4 - c**4 - 4*c**3 - 25*c**5 = 0.
0, 2/5
Suppose -4*u - 2*j = 296, -5*u - 2*j = -3*j + 356. Let f be 8/(-44) + u/(-33). Factor 3*k**2 - 2*k**2 + 0*k**2 - 5*k**f - 4*k.
-4*k*(k + 1)
Let r(g) = -g**3 + 3*g**2 + 4*g. Let a(v) = 2*v**3 - 8*v**2 - 9*v + 1. Let x(m) = 6*a(m) + 14*r(m). Let x(h) = 0. Calculate h.
-3, -1, 1
Let n = 94 - 38. Let y be 208/n + 2/7. Factor -2/3*r**2 + 2/3*r**3 + 1/3*r**y - 1/3*r + 1/3 - 1/3*r**5.
-(r - 1)**3*(r + 1)**2/3
Let m be (-12)/30 + 204/85. Solve -2/3*s**m + 0 + 2/3*s = 0.
0, 1
Factor -24 - 171/7*w - 3/7*w**2.
-3*(w + 1)*(w + 56)/7
Solve 3/7 - 3/7*v**2 + 1/7*v - 1/7*v**3 = 0.
-3, -1, 1
Let l(d) be the first derivative of -3/20*d**5 + 1/4*d**3 + 3/8*d**4 - 43 + 0*d - 3/4*d**2. Factor l(r).
-3*r*(r - 2)*(r - 1)*(r + 1)/4
Factor -99*p**3 - 18*p + 69*p**3 + 84*p**2 - 97 - 38 + 3*p**4.
3*(p - 5)*(p - 3)**2*(p + 1)
Let w(i) be the third derivative of -i**5/210 - i**4/6 - 8*i**3/7 + 106*i**2. Determine y, given that w(y) = 0.
-12, -2
Let i(s) = -24*s**2 + 14*s. Let z(c) = -2*c**2 + c. Let r(b) = i(b) + 6*z(b). Let r(f) = 0. Calculate f.
0, 5/9
Suppose 5*s - 45 = -5*r, 3*s = -r + 4 - 1. Find g such that -25*g - 4 - 27*g**2 + 17*g + 2*g**2 - r*g = 0.
-2/5
Let m(h) be the second derivative of -h**4/102 + h**3/17 + 18*h**2/17 - 496*h. Find p such that m(p) = 0.
-3, 6
Let k = 2833 - 832901/294. Let c = k - -83/294. Factor -c*j + 2/7 - 2/7*j**2 + 2/7*j**3.
2*(j - 1)**2*(j + 1)/7
Let y(n) be the first derivative of n**4/12 - 13*n**3/3 - 28*n**2 - 172*n/3 + 340. Suppose y(g) = 0. What is g?
-2, 43
Let f(d) be the first derivative of 0*d**3 - 1/2*d**4 + 0*d**2 - 5*d + 3/20*d**5 + 7. Let g(y) be the first derivative of f(y). Solve g(k) = 0.
0, 2
Let v = -45592/3 + 15198. Factor -4/3 - 2*j**2 - v*j**3 + 2/3*j**4 + 10/3*j.
2*(j - 1)**3*(j + 2)/3
Let 19*m - 31*m - 80*m**2 - 28*m - 5 = 0. Calculate m.
-1/4
Let u(y) be the third derivative of -y**8/2880 - y**7/3780 + y**4/3 + 4*y**2. Let b(n) be the second derivative of u(n). Determine t, given that b(t) = 0.
-2/7, 0
Let n(r) be the third derivative of -1/240*r**6 + 1/672*r**8 + 0*r**3 + 1/420*r**7 + r**2 + 0*r + 0 - 1/120*r**5 + 0*r**4. Suppose n(y) = 0. Calculate y.
-1, 0, 1
Let l(y) be the first derivative of 1/3*y**2 + 0*y - 8/9*y**3 - 10. Factor l(u).
-2*u*(4*u - 1)/3
Let f = 41/132 - 2/33. Suppose 41 - 15 = -1388*q + 1401*q. Factor f*m + 1/4 + 1/4*m**4 - 1/2*m**3 + 1/4*m**5 - 1/2*m**q.
(m - 1)**2*(m + 1)**3/4
Factor 27/2 + 0*t - 3/2*t**2.
-3*(t - 3)*(t + 3)/2
Let y be 4 - 1/(-2 + 3). Suppose o + 20 = -y*o, 5*o = 4*i - 37. Suppose -30*c**4 + 4*c**i - 2*c**2 + 5*c**5 + 38*c**4 - 3*c**3 = 0. Calculate c.
-1, 0, 2/5
Let i be 2/(-5*2/(-10)). Find z such that -i*z + 4 - 4*z**2 + 5*z**2 + 0 + 6*z = 0.
-2
Let 4/3*v + 2/9*v**2 + 2 = 0. Calculate v.
-3
Let -40*m + 80*m**2 - 90*m**3 - 42*m + 40*m**4 - 32*m + 0*m**5 + 89*m - 5*m**5 = 0. What is m?
0, 1, 5
Factor 0*v**3 - 6 + 6535*v + v**3 - 6524*v - 6*v**2.
(v - 3)*(v - 2)*(v - 1)
Suppose 72*y = 43*y. Let k(t) be the second derivative of 0*t**3 + 10*t + 0 + 1/120*t**6 + y*t**2 + 1/24*t**4 + 3/80*t**5. Find z, given that k(z) = 0.
-2, -1, 0
Suppose 0*q + 20 = 7*q + 6. Factor 1/2*f**q + 49/2 - 7*f.
(f - 7)**2/2
Let t = 246 + -243. Let i(d) be the first derivative of 2 + 3*d**2 + 1/3*d**t + 9*d. Let i(c) = 0. Calculate c.
-3
Let r(q) be the third derivative of -q**8/672 - q**7/420 + q**6/120 + q**2 - 30*q. Let r(o) = 0. Calculate o.
-2, 0, 1
Let o(s) be the first derivative of -3/4*s**2 - 3 - 3/4*s**4 + 3*s - 5/2*s**3. Factor o(r).
-3*(r + 1)*(r + 2)*(2*r - 1)/2
Let y(w) be the second derivative of 10/21*w**4 - 33*w + 1/3*w**3 - 6/7*w**2 + 0. Determine l, given that y(l) = 0.
-3/4, 2/5
Let i(l) be the second derivative of -l**6/288 + 5*l**4/96 - l**3/2 + 13*l. Let r(g) be the second derivative of i(g). Let r(f) = 0. Calculate f.
-1, 1
Suppose 5*x = -3*b - 145, -x + 4*x = 2*b + 65. Let n be b/(-250)*(0 - -5). Factor -n*w + 8/5 - 4/5*w**2.
-4*(w - 1)*(w + 2)/5
Factor -2/7*d**5 + 18/7*d**3 + 0*d**2 + 0 + 16/7*d**4 + 0*d.
-2*d**3*(d - 9)*(d + 1)/7
Determine b, given that 0 - 1/6*b**2 - 8/3*b = 0.
-16, 0
Let d(x) = 556*x - 540*x + x**3 - 3*x**2 - 7*x**2. Let t be d(8). Factor -4/9*a**2 + t + 2/9*a.
-2*a*(2*a - 1)/9
Suppose 31 = 4*o + 3*t, -o + t = o - 3. Factor 9*a**4 - 9*a**4 - o*a**2 + 26*a**4 + 0*a**3 + 22*a**3.
2*a**2*(a + 1)*(13*a - 2)
Let z(m) = -2*m. Let t(u) = -3*u**2 - 114*u + 252. Let v(y) = -t(y) - 3*z(y). Factor v(r).
3*(r - 2)*(r + 42)
Let f(l) be the first derivative of l**6/24 + 3*l**5/10 + l**4/16 - 2*l**3 + 2*l**2 - 218. Factor f(o).
o*(o - 1)**2*(o + 4)**2/4
Let g be 4/14*2 - 0. Let r be 7 - ((-1728)/560 + 3)/((-1)/75). Factor 0 + 0*t**3 - 2/7*t**5 + 2/7*t - r*t**4 + g*t**2.
-2*t*(t - 1)*(t + 1)**3/7
Let u(c) be the third derivative of c**7/840 + c**6/240 - c**5/240 - c**4/48 + 698*c**2. Factor u(w).
w*(w - 1)*(w + 1)*(w + 2)/4
Let r(c) be the second derivative of 2*c**6/105 + 17*c**5/35 + 26*c**4/7 + 64*c**3/21 - 256*c**2/7 - 43*c. Find b such that r(b) = 0.
-8, -2, 1
Let w(a) be the first derivative of -a**3 - 6/7*a**2 - 3/14*a**4 + 12/7*a - 3. Solve w(u) = 0.
-2, 1/2
Let k be 3500/882*((-15)/(-25))/1. Determine j so that 4/7*j**2 + k + 2/21*j**4 - 16/21*j**3 + 80/21*j = 0.
-1, 5
Let r(q) = -434*q - 2599. Let g be r(-6). Suppose 0*j**2 + 0 + 0*j + 1/2*j**g - j**4 + 1/2*j**3 = 0. What is j?
0, 1
Let y(q) be the second derivative of -3*q**5/16 - 25*q**4/12 + 155*q**3/24 - 5*q**2 + 229*q. Factor y(v).
-5*(v - 1)*(v + 8)*(3*v - 1)/4
Let c(j) be the second derivative of j**5/90 - 11*j**4/54 - 25*j**3/27 - 13*j**2/9 - 79*j. Factor c(q).
2*(q - 13)*(q + 1)**2/9
Let a = -1860 - -1870. Let g(n) be the second derivative of a*n + 0 + 0*n**2 + 2/3*n**3 + 1/3*n**4. Factor g(f).
4*f*(f + 1)
Let v = 57/25 + -42/25. Let h(j) be the first derivative of 2*j**6 + 0*j**4 - 3 + 0*j - v*j**5 + 0*j**2 + 0*j**3. Solve h(q) = 0 for q.
0, 1/4
Find j, given that 0 - 1/2*j**5 - 3/2*j - 3*j**4 - 5*j**2 - 6*j**3 = 0.
-3, -1, 0
Let y(s) be the second derivative of -s**5/60 + 79*s**4/36 - 155*s**3/18 + 77*s**2/6 - 6*s + 35. Solve y(l) = 0.
1, 77
Let j(i) be the second derivative of 3*i**5/20 + 9*i**4/4 - 23*i. Suppose j(q) = 0. Calculate q.
-9, 0
Let p = 88/41 + -3685/246. Let j = -989/78 - p. Factor 0 - 2/13*w**5 + 0*w**2 + 4/13*w**3 + j*w**4 + 0*w.
-2*w**3*(w - 2)*(w + 1)/13
Let b(a) = -a**2 + 8*a + 2. Let w be b(8). Suppose -4*t**2 + 11*t**2 - 30*t - 12*t**w = 0. What is t?
-6, 0
Let i = -223/11 - -2051/99. Find p, given that -8/9*p**2 + 4/9*p**3 - i*p + 8/9 = 0.
-1, 1, 2
Let z(k) = -5*k**2 - 9*k + 18. Let r(d) = -22*d**2 - 37*d + 75. Let w(q) = 6*r(q) - 26*z(q). Let w(i) = 0. What is i?
3
Let k = -79 + 85. Let o be k/8 + 24/(-32). Factor 1/5*q**4 + 0*q**3 + o + 0*q**2 + 0*q - 1/5*q**5.
-q**4*(q - 1)/5
Let i be 5/(10/(-4))*66/21. Let y = i - -241/35. What is n in 12/5*n + y*n**2 + 9/5 = 0?
-3, -1
Determine s so that -4*s - 16 + 34*s**3 + 32*s + s**5 + 9*s + 6 - 52*s**2 - 10*s**4 = 0.
1, 2, 5
Let m = -31 + 33. Factor -13*g**4 - m*g**2 - 2*g + 4*g - g - g**5 + 15*g**4.
-g*(g - 1)**3*(g + 1)
Solve 2*j**4 + 2*j - 6*j**4 - 8*j**5 + 4*j**