 = 0.
-2, 1, 4
Let o(h) = -3*h**3 + 3*h**2 + h. Let u be o(2). Let i be 4 + (u - -5) + 3. Factor 0 + 4/3*x - 4/3*x**i.
-4*x*(x - 1)/3
Let f = 324 + -342. Let o be ((-8)/f)/(429/(-36) - -12). Let -8/3 + 10/3*p**2 + o*p = 0. Calculate p.
-2, 2/5
Find n, given that -9462 - 6922 - 8192*n + 264*n**2 - 128*n**3 - 375*n**2 - 4*n**4 - 1425*n**2 = 0.
-8
Let q(a) = 9*a**4 - a**3 + 9*a**2 + 9*a - 2. Let o(l) = 12*l**4 + 10*l**2 + 10*l - 2. Let n(v) = -4*o(v) + 5*q(v). Suppose n(t) = 0. What is t?
-2, -1, 1/3, 1
Let f(i) be the second derivative of -5*i**7/42 - 2*i**6/3 - i**5 + 5*i**4/6 + 25*i**3/6 + 5*i**2 + 23*i + 2. Factor f(x).
-5*(x - 1)*(x + 1)**3*(x + 2)
Let h(o) be the second derivative of -o**4/30 + 2*o**3/15 - o**2/5 - 261*o. Factor h(l).
-2*(l - 1)**2/5
Factor -321*a + 859 - 453*a + 1301 - a**3 - 105*a**2 + 414*a - 4*a**3.
-5*(a - 3)*(a + 12)**2
Let t(d) be the second derivative of -1/3*d**2 + 7/18*d**3 + 0*d**4 + 4*d + 1/45*d**6 - 1/6*d**5 + 1/42*d**7 + 0. Let t(w) = 0. Calculate w.
-2, -1, 1/3, 1
Let o(f) = -4*f**3 - 33*f**2 + 87*f - 111. Let l(z) = -6*z**3 - 36*z**2 + 86*z - 112. Let r(b) = 3*l(b) - 4*o(b). Find a such that r(a) = 0.
3, 6
Let w(l) be the second derivative of 3*l**5/20 + 23*l**4/12 + 25*l**3/3 + 12*l**2 - 48*l + 4. Solve w(g) = 0.
-4, -3, -2/3
Suppose b - f - 7 = 0, 5*b - 4*f - 24 = 2*b. Suppose -4 = -b*q + 2*k, 13 = q + 4*k - 6. Solve -1/2*v - 1/2*v**2 + 1/2 + 1/2*v**q = 0 for v.
-1, 1
Let i(g) = -12*g**5 - 72*g**4 - 472*g**3 - 1280*g**2 - 1608*g - 768. Let m(q) = q**5 - q**4 - q**3 + q. Let o(s) = i(s) + 8*m(s). Solve o(r) = 0 for r.
-12, -2
Suppose 32 + 4*r + 1/8*r**2 = 0. What is r?
-16
Solve -17 - 12 - 5*x**5 - 412*x**3 + 38*x**2 - 3*x**2 + 45*x**4 + 120*x + 297*x**3 - 51 = 0.
-1, 1, 4
Factor -14/13*d + 0 - 12/13*d**2 + 2/13*d**3.
2*d*(d - 7)*(d + 1)/13
Suppose -66*o - 22*o - 16 = -192. Let v be 3 + (-2 + 4 - 2). Factor 0 + 3/8*j + 3/4*j**o + 3/8*j**v.
3*j*(j + 1)**2/8
Let c(i) be the third derivative of -i**8/112 + 33*i**7/70 - 363*i**6/40 + 1331*i**5/20 + 81*i**2. Find n, given that c(n) = 0.
0, 11
Let g be (12/(-16))/(15/(-40)). Suppose g*k - 5*t = -23, 22 + 0 = -3*k + 5*t. Determine d so that -4*d - 4*d**2 - 3 - k + 3*d**2 = 0.
-2
Factor 55*c**2 - 7*c**3 - 79*c**2 + 2 + 46*c**2 - 17*c.
-(c - 2)*(c - 1)*(7*c - 1)
Let m = 10 + -12. Let f be -4 + (3 - (m + 1)). Suppose -8*d**3 + f*d**2 + 0*d**2 + 4*d**2 = 0. What is d?
0, 1/2
Let g(h) = -11*h**3 - 76*h**2 + 177*h - 90. Let m(z) = 4*z**3 + 25*z**2 - 59*z + 30. Let r(q) = -3*g(q) - 8*m(q). Determine l, given that r(l) = 0.
-30, 1
Find i, given that 8 + 0*i**4 + i**4 - i**5 - 3*i**2 + 12*i - 2*i**2 - 11*i**3 + 3*i**2 - 7*i**4 = 0.
-2, -1, 1
Let j = -5528/5 + 1109. Let g = 7 - j. What is t in -g + 3*t - 3/5*t**2 = 0?
2, 3
Let s(r) be the first derivative of r**8/8400 - r**6/900 + r**4/120 - 5*r**3/3 - 7. Let f(g) be the third derivative of s(g). Factor f(i).
(i - 1)**2*(i + 1)**2/5
Suppose -5*m + 28*f + 1 = 27*f, f = 3*m - 1. Find s such that 308/3*s**3 - 128/3*s**2 + 16/3*s - 196/3*s**4 + m = 0.
0, 2/7, 1
Determine g so that 0*g + 39/2*g**2 + 0 + 3/4*g**3 = 0.
-26, 0
Let z(u) be the third derivative of u**8/896 - u**7/280 - 9*u**6/320 + 7*u**5/80 + 5*u**4/16 - 3*u**3/2 - 5*u**2 - 4*u. What is j in z(j) = 0?
-2, 1, 2, 3
Let k(t) be the third derivative of 1/168*t**8 + 3*t**2 + 0 + 1/15*t**5 + 1/3*t**3 - 1/4*t**4 + 1/30*t**6 + 0*t - 1/35*t**7. Suppose k(y) = 0. What is y?
-1, 1
Let a(x) = 2*x**5 - x**4 - 3*x**3 + 7*x**2 + x - 3. Let s(r) = -2*r**5 + 2*r**4 + 2*r**3 - 6*r**2 + 2. Let m(u) = 4*a(u) + 6*s(u). Factor m(n).
-4*n*(n - 1)**3*(n + 1)
Let f = 10229 + -10229. Determine r, given that -9/4*r**3 + 3/4*r**4 + f + 0*r - 3*r**2 = 0.
-1, 0, 4
Let a(w) = w**2 + 14*w + 2. Let j be a(-14). Factor n**4 + 4*n**4 + 5*n - n**4 + 16*n**3 + 3*n + 20*n**j.
4*n*(n + 1)**2*(n + 2)
Let w(s) be the second derivative of -s**7/420 + 7*s**6/720 - s**5/80 - 17*s**3/6 - 17*s. Let f(b) be the second derivative of w(b). Factor f(c).
-c*(c - 1)*(4*c - 3)/2
Let r(w) be the third derivative of -5*w**6/12 - 11*w**5/6 + 14*w**4/3 - 4*w**3 - 140*w**2. Factor r(z).
-2*(z + 3)*(5*z - 2)**2
Let a(u) be the first derivative of -3*u**4/4 - 95*u**3 - 3312*u**2 + 6912*u - 174. Find g, given that a(g) = 0.
-48, 1
Let x(i) be the first derivative of 1/4*i**4 - 21 - 1/3*i**3 + 0*i + 1/5*i**5 - 1/2*i**2. What is u in x(u) = 0?
-1, 0, 1
Let m be (156/15)/1 - (7 - -1). Find y such that 1/5*y**4 + m*y + 9/5 - 4/5*y**3 - 2/5*y**2 = 0.
-1, 3
Let y(q) be the third derivative of 2*q**2 + 0*q + 1/10*q**5 - 1/20*q**6 - 1/12*q**4 - 36 + 0*q**3 + 1/105*q**7. Factor y(r).
2*r*(r - 1)**3
Let x(j) be the first derivative of 4/27*j**3 + 0*j**2 + 0*j**5 - 1/27*j**6 - 51 + 0*j + 1/6*j**4. Factor x(i).
-2*i**2*(i - 2)*(i + 1)**2/9
Let a(k) be the third derivative of k**9/5040 + k**8/1680 + k**7/4200 - k**6/1800 + 3*k**3/2 + 8*k**2. Let p(h) be the first derivative of a(h). Factor p(b).
b**2*(b + 1)**2*(3*b - 1)/5
Let i(h) be the first derivative of h**4/32 + 5*h**3/24 + 3*h**2/16 - 9*h/8 - 76. Determine a so that i(a) = 0.
-3, 1
Let i(l) = 5*l**4 - 2*l**3 - 5*l**2 - 2*l - 8. Let v(t) = -135*t**4 + 55*t**3 + 135*t**2 + 55*t + 220. Let j(f) = 55*i(f) + 2*v(f). Find z, given that j(z) = 0.
-1, 0, 1
Let v(x) = 2*x - 2. Suppose 0 = -d + 5*y + 23, 0 = -2*d - 2*y - y - 6. Let h be v(d). Factor -3*k**2 + 1 - h + 4*k**2 + 4 + 2*k.
(k + 1)**2
Let s = -129/38 - -74/19. Determine o so that -2/3*o**2 + 0 - 2/3*o + s*o**3 = 0.
-2/3, 0, 2
Let s be 12/27 - (-4)/18. Let u be 4/15 - (-8)/(-220)*-11. Find t such that 0 - u*t - 4/3*t**2 - s*t**3 = 0.
-1, 0
Let r(c) = -2*c + 16. Suppose -2*w + 10 = -4. Let o be r(w). Suppose -4/11 + 14/11*y - 8/11*y**o - 8/11*y**3 = 0. What is y?
-2, 1/2
Let b(l) = l**2 - 5*l + 6. Let u be b(4). Let k(a) be the second derivative of 0 - u*a**3 - 6*a**2 + a - 1/4*a**4. Factor k(q).
-3*(q + 2)**2
Let v(o) be the third derivative of o**5/120 - 11*o**4/48 - 80*o**2. Let v(u) = 0. What is u?
0, 11
Let y(a) be the first derivative of -a**5/40 + a**4/6 - 5*a**3/12 + a**2/2 + a + 4. Let x(n) be the first derivative of y(n). Factor x(o).
-(o - 2)*(o - 1)**2/2
Let m(l) be the third derivative of -l**7/1120 - l**6/480 - 3*l**3/2 - 7*l**2. Let y(j) be the first derivative of m(j). Factor y(s).
-3*s**2*(s + 1)/4
Let w(s) be the third derivative of 4*s**6/75 - s**5/75 - 4*s**4/15 + 2*s**3/15 - 637*s**2. Factor w(r).
4*(r - 1)*(r + 1)*(8*r - 1)/5
Let f(n) be the second derivative of -n**4/36 - 3*n**3/2 + 14*n**2/3 + n + 9. Let f(x) = 0. What is x?
-28, 1
Suppose -5*k + 20 = 2*z, 3*k - z - 1 = -0*k. Let -40*o**k - 10 + 25*o**3 + 40 + 3*o**2 - 23*o**2 - 55*o = 0. Calculate o.
-1, 2/5, 3
Let p be (216/(-270) - 4/(-5))/2. Let 1/5 + 2/5*t**3 - 1/5*t**4 + p*t**2 - 2/5*t = 0. What is t?
-1, 1
Let q(s) = -5*s + 19. Let w be q(4). Let j(u) = u**3 + u**2 - u + 1. Let r(t) = -5*t**3 - 5*t**2 + 4*t - 4. Let f(b) = w*r(b) - 4*j(b). Factor f(m).
m**2*(m + 1)
Let b(u) be the second derivative of -u**4/21 + 26*u**3/21 - 24*u**2/7 - 550*u. Determine h so that b(h) = 0.
1, 12
Let -3*p**4 + 54*p**3 - 434*p**2 + 0*p**4 + 146*p**2 + 384*p = 0. What is p?
0, 2, 8
Let 2/5*v**5 - 4*v**2 + 4*v**3 + 2*v - 2*v**4 - 2/5 = 0. Calculate v.
1
Let k(o) be the first derivative of 2*o**6/21 + 4*o**5/7 - o**4 - 20*o**3/21 + 12*o**2/7 - 44. Suppose k(c) = 0. What is c?
-6, -1, 0, 1
Let b = -18671/6 - -3112. Let p = -17/2 - -26/3. Find u, given that -b*u**3 - 1/2*u + p + 1/2*u**2 = 0.
1
Let h(i) be the third derivative of i**7/126 + 67*i**6/360 + 133*i**5/90 + 23*i**4/6 + 4*i**3 - 19*i**2 - 3. Factor h(t).
(t + 1)*(t + 6)**2*(5*t + 2)/3
Suppose 5*n - b = 38, -4 = -3*b + 2. Factor -19*g**2 - n*g**2 + 15*g**2 - 12*g - 3*g**3.
-3*g*(g + 2)**2
Suppose s - 17 = 2*o, -o - 25 = -2*s - 6*o. Solve 10 + s*x**3 - 283*x**4 - 18*x + 278*x**4 - 5*x**2 + 3*x = 0 for x.
-1, 1, 2
Factor 2/3*k**5 - 14/3*k**4 + 0*k**2 + 0*k + 20/3*k**3 + 0.
2*k**3*(k - 5)*(k - 2)/3
Let h(m) be the third derivative of m**5/270 - 17*m**4/108 + 20*m**3/9 + m**2 + 720*m. What is f in h(f) = 0?
5, 12
Suppose 4*q - 4*l - 8 = 0, -5 = q + 4*l + 3. Factor 0 - 4/5*k**3 - 2/5*k**4 - 2/5*k**2 + q*k.
-2*k**2*(k + 1)**2/5
Factor 4*p**2 + 4*p + 5*p + 3*p + 0*p**2.
4*p*(p + 3)
Let l(f) be the second derivative of 