5 + p*u**3 + 4/13*u**2 + 0*u + 0 = 0. What is u?
-1, 0, 2
Suppose 3*p - 5*m - 22 = 0, 4*p - 16 = 2*p + 4*m. Factor 10*z**5 + 23*z + 5*z**3 + 15*z**p - 23*z.
5*z**3*(z + 1)*(2*z + 1)
Let o(z) be the third derivative of 15*z**2 + 1/150*z**5 + 0*z + 1/5*z**3 + 1/15*z**4 + 0. Factor o(v).
2*(v + 1)*(v + 3)/5
Let z = -276 + 281. Let a(q) be the first derivative of -1 + 0*q**2 - 7/10*q**z - 1/3*q**3 + 9/8*q**4 + 0*q. Suppose a(h) = 0. Calculate h.
0, 2/7, 1
Let b = -20 + 22. Suppose 0 = -4*l + 2*n + 20 - 6, 0 = -3*n - 3. Let l*y - 3*y - 9 - 9*y + 3*y**b + 15 = 0. Calculate y.
1, 2
Let z = 2355 - 11772/5. Factor -6/5*p - z*p**2 - 3/5.
-3*(p + 1)**2/5
Let g(k) be the third derivative of -k**6/120 - 13*k**5/60 - 23*k**4/24 - 11*k**3/6 + 225*k**2. Determine n so that g(n) = 0.
-11, -1
Let z(w) be the second derivative of -w**4/3 - 26*w**3/3 - 347*w - 2. Find f, given that z(f) = 0.
-13, 0
Let i(l) = l**2 + 9*l + 11. Let a be i(-8). Suppose 21 = 2*c - a. Factor 5*w**2 + w - 1 + 4 - c*w + 4*w - w**3.
-(w - 3)*(w - 1)**2
Factor -9/5*h**2 + 9/5 + 3/5*h**3 - 3/5*h.
3*(h - 3)*(h - 1)*(h + 1)/5
Suppose 0 = -4*c + b + 135, -2*c + 0*b - b + 75 = 0. Find j, given that 45*j - 68*j + c*j + 4*j**2 - 6 - 10 = 0.
-4, 1
Suppose -55*z = -57*z - 1056. Let m = z + 3702/7. Find w such that 0 - m*w**2 - 4/7*w - 2/7*w**3 = 0.
-2, -1, 0
Let a(s) be the third derivative of s**8/672 + s**7/420 - s**6/120 - 151*s**2. Solve a(j) = 0.
-2, 0, 1
Find o, given that 2*o**2 - 19209*o**4 + 19208*o**4 + o**2 - 2*o = 0.
-2, 0, 1
Let x(i) be the first derivative of -1/9*i**3 + 1/6*i**2 + 0*i - 9. What is g in x(g) = 0?
0, 1
Let g(v) = 42*v + 420. Let p be g(-10). Let d be (-1*(-2)/4)/1. Suppose 0 + p*y**2 + d*y**3 + 0*y + 1/2*y**4 = 0. What is y?
-1, 0
Suppose -2 = 2*k, k + 4 = -5*t - 3*k. Let u(o) be the third derivative of -1/15*o**5 + 0*o + t - 2*o**2 + 1/6*o**4 + 0*o**3. What is f in u(f) = 0?
0, 1
Factor -1/2*i**2 + 4 - 7/2*i.
-(i - 1)*(i + 8)/2
Let v = -2/52721 + 158167/105442. Factor 0*n**2 + 0*n + 3/2*n**3 + 0 + v*n**5 - 3*n**4.
3*n**3*(n - 1)**2/2
Let a(w) be the third derivative of w**6/120 - 27*w**5/20 + 979*w**2. Factor a(o).
o**2*(o - 81)
Let l = 0 + -9. Let n be 8/36 - 25/l. Factor -6*g**3 - 5*g**2 + 3*g + 3 + 0*g**2 - g**2 + 6*g**4 + n*g**5 - 3*g**4.
3*(g - 1)**2*(g + 1)**3
Factor 2*q - 15*q**2 + q**3 + 10*q + 9*q**2 + 19*q**2.
q*(q + 1)*(q + 12)
Let c be (81/405)/((-23)/(-20)*-2 - -3). Factor -8/7*z + c*z**2 + 6/7.
2*(z - 3)*(z - 1)/7
Determine q, given that 674/7*q**2 + 202/7*q**3 + 18/7*q**4 + 100/7 + 590/7*q = 0.
-5, -1, -2/9
Factor 39*z - 5*z**2 + 96859 - 7*z**2 - 96886.
-3*(z - 1)*(4*z - 9)
Suppose -4*x + 13 = 5*i, 4*x - 3*i + 0 = 5. Let p(t) be the third derivative of 0*t**4 + 0*t + 1/20*t**5 + 0*t**3 - 2*t**x + 0. Suppose p(s) = 0. Calculate s.
0
Let h(n) be the third derivative of n**7/105 + 13*n**6/240 + 11*n**5/120 + n**4/24 + 319*n**2. Let h(a) = 0. What is a?
-2, -1, -1/4, 0
Let d(h) be the third derivative of 0 - 1/132*h**4 + 0*h**3 + 1/1155*h**7 + 15*h**2 + 0*h + 1/110*h**5 - 1/220*h**6. Factor d(l).
2*l*(l - 1)**3/11
Factor -3/2*y**3 + 6*y**2 + 3/2*y - 6.
-3*(y - 4)*(y - 1)*(y + 1)/2
Suppose -3*j = 3*s + 27 + 24, 3*j + 33 = -2*s. Let m be 1/(-6) + (-183)/s. Factor -9*o**3 + 12 + 9*o**2 - m*o**3 + 4*o**3 + 36*o.
-3*(o - 2)*(o + 1)*(5*o + 2)
Let t(h) = -10*h**2 - 380*h + 369. Let r(z) = -18*z**2 - 756*z + 739. Let w(f) = -3*r(f) + 5*t(f). Factor w(s).
4*(s - 1)*(s + 93)
Let x = -4353 - -4353. Determine r, given that 0 - 2/11*r**4 + x*r + 2/11*r**5 - 4/11*r**3 + 0*r**2 = 0.
-1, 0, 2
Suppose 0 = 4*f - 319 - 85. Suppose -124 + 27 = -5*l - r, 3*r = -5*l + f. Determine u so that 22*u**5 + 0*u**4 - l*u**5 + 3*u**4 = 0.
-1, 0
Suppose 5*r + 0*r - 3*n + 59 = 0, 4*n = -4*r - 28. Let t = 15 + r. Factor -4/7*m + 0*m**3 + 4/7*m**t - 8/7*m**2 + 0 + 8/7*m**4.
4*m*(m - 1)*(m + 1)**3/7
Let n(i) be the second derivative of -i**7/336 + i**6/120 + 3*i**5/40 + 7*i**4/48 + 5*i**3/48 - 468*i. Suppose n(h) = 0. What is h?
-1, 0, 5
Let v = -14655/2 - -7330. Let -5/2*s + 5/2*s**3 + 5/2 - v*s**2 = 0. Calculate s.
-1, 1
Let h(p) be the third derivative of -p**8/112 + 3*p**7/70 + p**6/4 + p**5/10 - 9*p**4/8 - 5*p**3/2 + 5*p**2 - 5. Find g, given that h(g) = 0.
-1, 1, 5
Let l(n) = n**2 - 20*n - 34. Let t be l(17). Let a = 85 + t. Factor -1/2*v + 1/2*v**2 + 1/2*v**3 - 1/2*v**4 + a.
-v*(v - 1)**2*(v + 1)/2
Suppose 0 = p - 6*p + 220. Suppose -3*l = -14*l + p. Factor 0 + 2/3*f**3 + 0*f**l - 1/3*f**5 + 0*f**2 - 1/3*f.
-f*(f - 1)**2*(f + 1)**2/3
Suppose 0 = 2*v - v + 91. Let d be 7/2*(-13)/v. Solve -a - d*a**5 - 9/2*a**3 + 5/2*a**4 + 7/2*a**2 + 0 = 0 for a.
0, 1, 2
Let o(p) = p**2 - p + 1. Let u(c) = -c**4 - c**3 + 2*c - 2. Suppose -12*g + 25 = 13. Let j(m) = g*u(m) + 2*o(m). Factor j(w).
-w**2*(w - 1)*(w + 2)
Let t be (10/(-15))/(16/120) + 6 + -1. Factor 2/3*v**5 + t*v**3 + 0*v - 2/9*v**4 + 0*v**2 + 0.
2*v**4*(3*v - 1)/9
Let y = -68 - -68. Let s(x) be the third derivative of y*x - 5*x**2 + 0 - 1/90*x**5 + 1/9*x**3 + 1/180*x**6 - 1/36*x**4. Solve s(o) = 0 for o.
-1, 1
Let j(f) = 5*f**3 + f**2 + 3. Let z(t) = t**2 - 4*t. Let p be z(3). Let m be 1 + -5 + p/(-3). Let r(l) = -l**3 - 1. Let v(a) = m*r(a) - j(a). Factor v(x).
-x**2*(2*x + 1)
Factor 0*u**2 - 32/13*u**4 + 0 - 2/13*u**5 + 0*u + 0*u**3.
-2*u**4*(u + 16)/13
Let w = -14446/45 - -321. Let k = 14/45 - w. Find p, given that -k*p**2 + 0 - 4/3*p = 0.
-4, 0
Let l(j) = -2*j**2 + 10*j - 26. Let g be l(9). Let a = -98 - g. Suppose 1/4*r**4 + 0*r**3 + 0 - 1/4*r**5 + 0*r**2 + a*r = 0. Calculate r.
0, 1
Factor -j - j + 14*j - 4*j**2 - 41*j**2 + j**2 - 16*j**3.
-4*j*(j + 3)*(4*j - 1)
Suppose -2*m - k = -1338, -k + 3346 = 5*m + 2*k. Factor -3*a**2 + 5*a**3 + 18*a**2 + 4 - 653*a + m*a + 1.
5*(a + 1)**3
Let i(w) be the second derivative of -w**6/105 + w**5/14 - 5*w**4/42 - 5*w**3/21 + 6*w**2/7 + 3*w + 28. What is t in i(t) = 0?
-1, 1, 2, 3
Factor -41*q + q**2 + 110*q + q**2 + 2*q**2 - q**2.
3*q*(q + 23)
Let t(j) = -2*j**3. Let v(y) = 90*y**4 - 430*y**3 + 592*y**2 - 256*y + 32. Let s(c) = -14*t(c) + 2*v(c). Find o such that s(o) = 0.
2/9, 2/5, 2
Suppose 0 = -65*p + 5*p + 300. Let q(l) be the second derivative of 0*l**3 - 2*l - 2/105*l**6 + 0 + 0*l**2 + 0*l**4 + 1/70*l**p + 1/147*l**7. Factor q(n).
2*n**3*(n - 1)**2/7
Let b = -1 - -9. Factor -10 + 8*m + b*m + 4*m**2 + 22.
4*(m + 1)*(m + 3)
Let t(w) be the third derivative of w**5/540 - w**4/27 + 8*w**3/27 - 61*w**2. Solve t(g) = 0.
4
Suppose 11*t - 8*t = 6. Let m(w) = -w**2 + 5*w - 4. Let q be m(3). Let 3*u**3 - t*u**q - 3*u**3 + 2*u**3 = 0. Calculate u.
0, 1
Factor v**5 - 401*v**3 + 205*v**3 + 172*v**3 + 200*v**3 - 178*v**4 + v**5.
2*v**3*(v - 88)*(v - 1)
Let f be ((-3)/((-90)/(-16)))/(-13 - 350/(-28)). Solve 8/15 - 2/3*q**2 + f*q = 0 for q.
-2/5, 2
Let d(h) be the third derivative of h**7/140 - h**6/120 - h**5/8 - h**4/4 - 2*h**3/3 + 8*h**2. Let z(x) be the first derivative of d(x). Factor z(k).
3*(k - 2)*(k + 1)*(2*k + 1)
Let j(w) be the first derivative of -w**4/4 - 5*w**3/3 - w**2/2 - 3*w + 3. Let g be j(-5). Find l such that -3*l**g + 12*l**3 + 7*l**2 + l**4 + 8*l**4 = 0.
-2/3, 0
Suppose 7 = 5*o - 8. Solve -28*t - 62*t**2 - 8*t - o - 44*t**2 - 2*t**2 = 0.
-1/6
Find n such that -2/9*n**2 + 0 - 2/9*n**3 + 4/9*n = 0.
-2, 0, 1
Let w(v) = v**4 + v**3 - 6*v**2 + 6. Let y(i) = 2*i**4 + i**3 - 13*i**2 + 13. Let d(s) = -13*w(s) + 6*y(s). Suppose d(t) = 0. Calculate t.
-7, 0
Let z be 6 - (6/(-12))/(5/(-59)). Let r(m) be the second derivative of 7*m + 1/5*m**2 + 1/60*m**4 + 0 - z*m**3. Determine f, given that r(f) = 0.
1, 2
Let t(u) be the second derivative of u**5/4 + 10*u**4/3 + 25*u**3/6 - 35*u**2 + 261*u. Let t(g) = 0. Calculate g.
-7, -2, 1
Let i(h) = 26*h - 208. Let v be i(8). Factor v + 0*a**2 + 0*a + 3/7*a**4 + 0*a**3.
3*a**4/7
Let y(q) be the third derivative of -q**5/240 - 299*q**4/48 - 89401*q**3/24 + 1024*q**2. Determine o so that y(o) = 0.
-299
Let l(c) be the first derivative of -2 + 7*c - 1/9*c**3 + 0*c**2 + 1/54*c**4. Let b(q) be the first derivative of l(q). Factor b(u).
2*u*(u - 3)/9
Let l = 89/72 + -7/6. Let v(j) be the third derivative of 0*j + 0 + l*j**4 + 12*j**2 + 1/36*j**5 - 5/9*j**3. Factor v(x).
5*(x - 1)*(x + 2)/3
Suppose -918 = 26*a - 507 - 489. Find m, given that 0 - 4/7*m**2 - 6/