- 3/14*o**3 + 261/140*o**5 + 0 + 10*o - 23/70*o**6 + 6/7*o**2 - 6/49*o**7. Solve w(k) = 0.
-4, -1/4, 1/3, 1
Factor 2/3*f**2 + 56/3 + 22/3*f.
2*(f + 4)*(f + 7)/3
Let v be ((-86)/4)/(8/(-48)). Suppose o - v = -23. Factor 48 - o*p**2 - 17*p - 7*p + 109*p**2.
3*(p - 4)**2
Factor 0 - 151/3*j**2 + 110/3*j**3 + 34/3*j + 7/3*j**4.
j*(j - 1)*(j + 17)*(7*j - 2)/3
Let l(y) be the first derivative of 3 + 3*y**4 + 0*y - 16/3*y**3 - 8*y**2 + 16/5*y**5 + 2/3*y**6. Determine c, given that l(c) = 0.
-2, -1, 0, 1
Let r be (-7)/2*(8/(-2) + -126). Let f = -7733/17 + r. Suppose -2*t**3 - f*t**2 + 4/17*t + 2/17*t**4 + 30/17*t**5 + 0 = 0. What is t?
-1, -2/5, 0, 1/3, 1
Let j = 1396/5 - 279. Let i(a) be the first derivative of 1/10*a**4 + 1/25*a**5 - 5 - 1/15*a**3 - j*a**2 + 0*a. Factor i(v).
v*(v - 1)*(v + 1)*(v + 2)/5
Factor 0 + y**2 + 0*y**3 - 1/3*y**4 + 2/3*y.
-y*(y - 2)*(y + 1)**2/3
Let p(y) = 5*y**4 - y**3 - 2*y**2 + 4*y + 4. Let w(f) = 9*f**4 - 2*f**3 - 4*f**2 + 7*f + 7. Let t(v) = -7*p(v) + 4*w(v). Factor t(u).
u**2*(u - 2)*(u + 1)
Suppose -5*n = -4*t - 302 - 869, 1172 = -4*t + 4*n. Let b = t + 294. Suppose -4/3*c**5 + b*c + 2*c**4 + 0*c**2 - 2/3*c**3 + 0 = 0. What is c?
0, 1/2, 1
Let p(x) be the third derivative of 5*x**6/228 - 3*x**5/38 + 2*x**4/19 - 4*x**3/57 - 5*x**2 - x. Factor p(r).
2*(r - 1)*(5*r - 2)**2/19
Let x(n) = -3*n**3 - n**2 - n. Let p(m) = 16*m**3 + 35*m**2 + 99*m + 32. Let r(l) = -5*p(l) - 35*x(l). Determine k so that r(k) = 0.
-2, -2/5, 8
Let m(s) be the third derivative of -s**8/5040 + s**7/105 - s**6/5 - s**5/30 + 6*s**2. Let z(p) be the third derivative of m(p). Solve z(y) = 0 for y.
6
Let y(c) be the third derivative of -c**6/30 + 13*c**5/15 + 11*c**4/2 - 30*c**3 + 677*c**2. Solve y(t) = 0 for t.
-3, 1, 15
Let i(z) = 5*z**3 + 30*z**2 + 5. Let w(l) = -2*l**3 - 15*l**2 - 3. Let n be ((-3)/(-6))/((-1)/(-6)). Let j(p) = n*i(p) + 5*w(p). Factor j(t).
5*t**2*(t + 3)
Factor 21*o - 2*o**2 + 30 - 4*o**2 - 6*o**2 + 429*o**3 - 432*o**3.
-3*(o - 2)*(o + 1)*(o + 5)
Let m be (-103)/4 + 6/8. Let f = -22 - m. Suppose -f*g + 5*g + 32 + 14*g + 2*g**2 = 0. What is g?
-4
Let a(q) be the second derivative of 5/24*q**3 + 0 + 3/8*q**2 - 5/24*q**6 - 3/8*q**5 - 17*q - 5/24*q**4 - 1/24*q**7. Suppose a(y) = 0. What is y?
-1, 3/7
Let w = -4117 + 4121. Factor 0*r + 1/4*r**w - 5/4*r**2 + r**3 + 0.
r**2*(r - 1)*(r + 5)/4
Suppose 11*z = 24*z + 53*z - 132. Solve -2/3 + 7/3*s**z + 1/3*s**3 - 5/3*s**4 - 2/3*s**5 + 1/3*s = 0.
-2, -1, 1/2, 1
Solve -28/3*j**2 - 4/3*j**3 - 20*j - 12 = 0 for j.
-3, -1
Let h(g) be the second derivative of 6*g + 1/5*g**5 + 0*g**2 + 4/15*g**6 + 0 + 2/21*g**7 + 0*g**4 + 0*g**3. Find x, given that h(x) = 0.
-1, 0
Let w(g) = g**3 - 2*g**2 - 2*g. Let h be w(0). Let s be 0 + h + 1 + 1. Suppose -1/3 + 1/3*q**4 + 0*q**s - 2/3*q**3 + 2/3*q = 0. What is q?
-1, 1
Let p = -54 - -56. Let c be ((-15)/6 + p)*(-1 + 1). Find u, given that c - 1/2*u**3 + 0*u**2 + 0*u = 0.
0
Let b(v) be the first derivative of 36*v**2 + 676/5*v**5 - 56/3*v**6 - 256*v**4 + 0*v - 19 - 4*v**3. Determine u so that b(u) = 0.
-1/4, 0, 2/7, 3
Suppose t - 268 + 263 = 0. Let w(s) be the second derivative of 1/10*s**t + 0*s**3 + 0 + 0*s**2 - 3*s - 1/12*s**4 - 1/30*s**6. Solve w(f) = 0.
0, 1
Let a(p) be the second derivative of -p**4 + 219*p**3/2 + 165*p**2/2 - 2*p - 85. Factor a(g).
-3*(g - 55)*(4*g + 1)
Suppose 33*i + 27*i = -30*i + 92*i. Determine b, given that -1/3*b**2 + i - 8/3*b = 0.
-8, 0
Let x(f) be the first derivative of f**4 + 0*f + 0*f**3 + 8/5*f**5 + 3 + 0*f**2 + 2/3*f**6. Determine i, given that x(i) = 0.
-1, 0
Let u(n) = 31*n**4 + 9*n**3 - 29*n**2. Let z be 6 + -1 - (6 + -3). Let q(x) = -6*x**4 - 2*x**3 + 6*x**2. Let r(t) = z*u(t) + 11*q(t). Factor r(m).
-4*m**2*(m - 1)*(m + 2)
Suppose -3/2*r**2 + 27/2*r - 30 = 0. What is r?
4, 5
Solve -16/3*k - 44/9*k**2 + 0 + 4/9*k**3 = 0.
-1, 0, 12
Let z = 89/297 - -10/297. Suppose z + 5/3*h**2 + 3/2*h = 0. What is h?
-1/2, -2/5
Let n(g) = -g**3 + 8*g**2 + 9*g - 12. Let z be n(5). Solve -16 - 68*w + 132*w - z*w - 10*w**2 = 0 for w.
-4, -2/5
Let z = -258 - -264. Let h(t) be the third derivative of 0 + 0*t - 54/5*t**z - 6*t**2 - 18/7*t**7 - 32/3*t**3 - 56/3*t**4 - 96/5*t**5. Factor h(a).
-4*(3*a + 2)**3*(5*a + 2)
Let d(i) be the first derivative of i**4 - 12*i**3 - 42*i**2 - 44*i - 623. Find s such that d(s) = 0.
-1, 11
Let d(n) = -1 + 2*n - 7 + 6 - 3. Let y be d(4). Solve -3*b**4 + 22*b**3 + y*b**2 + b + 2*b - 25*b**3 = 0.
-1, 0, 1
Suppose 11*q - 6*q - 20 = 0. Suppose -q*v + 20 + 52 = 0. Suppose 20*t - 4*t**4 + 2 - 10 - v*t**2 + 7*t**3 + 3*t**4 = 0. What is t?
1, 2
Solve -105*f - 9*f**4 - 5*f**4 - f**4 - 19 + 0*f**4 + 109 + 85*f**3 - 95*f**2 = 0.
-1, 2/3, 3
Factor -1/4*f**3 + 16*f - 40 - 1/2*f**2.
-(f - 4)**2*(f + 10)/4
Let y(t) be the second derivative of t**6/60 - 3*t**5/20 + 5*t**4/24 - 323*t. Suppose y(a) = 0. What is a?
0, 1, 5
Let t(h) be the second derivative of h**6/60 - h**5/30 - 4*h**2 + 19*h. Let p(s) be the first derivative of t(s). Determine x, given that p(x) = 0.
0, 1
Find c such that -6*c**3 + 62/3*c + 38/3*c**2 - 4/3*c**5 + 8 - 22/3*c**4 = 0.
-4, -1, 3/2
Let -57/7*b**3 + 60/7 - 48/7*b - 597/7*b**2 + 537/7*b**4 + 15*b**5 = 0. Calculate b.
-5, -1, -2/5, 2/7, 1
Let o(b) = -2*b**2 + 11*b - 5. Let z be o(2). Factor -l + 9*l + 7*l - z - 9*l + 3*l**2.
3*(l - 1)*(l + 3)
Let c = 22194/5 + -4438. Find p, given that 0 - 12/5*p**2 + c*p**3 + 0*p = 0.
0, 3
Let d(h) = 3*h**3. Let l(c) be the second derivative of 0*c**3 + 0 + 0*c**2 + 1/12*c**4 - 14*c + 1/20*c**5. Let q(j) = -d(j) - 2*l(j). Factor q(n).
-n**2*(5*n + 2)
Let k be -1*((-29)/9 + (-16)/(-72)). Factor -5*r + 5*r**2 - r**k - 2 + 13*r**2 - 22*r**2.
-(r + 1)**2*(r + 2)
Let d = 25243/44 - 7100/11. Let r = d + 72. Factor 1/2 - 3/4*f**2 + 1/4*f + r*f**4 - 1/4*f**3.
(f - 2)*(f - 1)*(f + 1)**2/4
Let d(l) be the first derivative of l**3/3 - 32*l**2 + 173. Factor d(b).
b*(b - 64)
Find i, given that -256/9 - 4*i**2 - 2/9*i**3 - 64/3*i = 0.
-8, -2
Let y(b) = -b**3 - 7*b**2 - 9*b - 16. Let q be y(-6). Let z(x) be the first derivative of -9/2*x - q - 1/6*x**3 - 3/2*x**2. Factor z(w).
-(w + 3)**2/2
Let b(x) be the first derivative of x**8/336 - x**7/56 + x**6/36 + 8*x**3/3 + 2. Let h(f) be the third derivative of b(f). Factor h(o).
5*o**2*(o - 2)*(o - 1)
Let b be 5 - (1672/(-121) - -14 - (-159)/33). Determine c, given that b - 4/5*c**4 + 4/5*c**2 - 4/5*c**3 + 4/5*c = 0.
-1, 0, 1
Let -33*c + 5*c**2 - 160 - 4*c - 33*c = 0. Calculate c.
-2, 16
Suppose u + 4*u - 20 = 5*t, 4*t + 2*u - 26 = 0. Suppose 2/5*w - 7/5*w**2 + w**t + 0 = 0. What is w?
0, 2/5, 1
Let q = 706 - 345. Solve 27 - 73*p**2 - q*p**3 - 16*p**5 - 137*p**2 + 136*p**4 + 435*p**2 + 189*p = 0.
-1/4, 3
Let l be 413/(-28) + 1/(-4). Let h be (-2)/l + (-344)/(-120). Factor -2/9*y + 2*y**h + 0 - 22/9*y**4 - 2/9*y**2 + 8/9*y**5.
2*y*(y - 1)**3*(4*y + 1)/9
Let h(l) be the second derivative of -l**5/240 - l**4/96 - 27*l**2/2 - 35*l. Let d(r) be the first derivative of h(r). Solve d(u) = 0.
-1, 0
Let w(v) = 4*v**3 + 139*v**2 - 356*v + 180. Let g(y) = y**3 + 46*y**2 - 119*y + 60. Let b(d) = 11*g(d) - 4*w(d). Factor b(o).
-5*(o - 1)**2*(o + 12)
Let 32*u**2 + 349 + 38*u + 4*u**3 - 325 + 14*u = 0. What is u?
-6, -1
Let v = 332/23 + -14296/1035. Let r = v - 2/9. Factor 0 - r*a**2 + 1/5*a + 1/5*a**3.
a*(a - 1)**2/5
Factor -4*o + 92*o**2 - 100*o**3 + 37*o**4 + 8*o - 9*o**4 - 24.
4*(o - 2)*(o - 1)**2*(7*o + 3)
Let l(n) = -n**3 - 3*n**2 + 56*n - 27. Let a(c) = 8*c - 11. Let y be a(2). Let u(d) = d**3 + d**2 + 1. Let w(q) = y*u(q) - l(q). Suppose w(h) = 0. Calculate h.
-4, 2/3, 2
Let v(x) = -2*x**4 - 28*x**3 + 3*x**2 + 3*x + 3. Suppose 5*w + 64 = 54. Let i(t) = 3*t**4 + 27*t**3 - 2*t**2 - 2*t - 2. Let g(h) = w*v(h) - 3*i(h). Factor g(r).
-5*r**3*(r + 5)
Let u be ((-448)/(-1575) + (-8)/18)/(4/(-10)). Solve 0*y + 8/5 - u*y**2 = 0 for y.
-2, 2
Let w be 32/(-20) + 2 - (-13)/5. Determine p so that -48*p**2 - p**w - 5 - 31*p**3 - 9 + 10 + 30*p = 0.
-2, 1/4
Suppose -5*w - 43 = 3*c - 50, 2 = -2*w. Factor -1/2*n**3 - 1/2*n**2 + 1 + 7/6*n + 1/6*n**c.
(n - 3)*(n - 2)*(n + 1)**2/6
Let p = 175 + -175. Let i(o) be the third derivative of 0 - o**4 + p*o - 8*o**3 - 3*o**2 - 1/20*o**5. Solve i(t) = 0.
-4
Let b(r) be the first derivative of -14*r**3/39 - 2*r**2 + 16*r