= 0.
2, 6, 10
Suppose 40*j + 12*j = -14924. Let x be j/(-238) - (-6)/(-12). Factor -20/17*h**4 + 24/17*h**3 + 2/17*h + 0 + 6/17*h**5 - x*h**2.
2*h*(h - 1)**3*(3*h - 1)/17
Suppose 263*a - 486 - 873 = -81*a - 109*a. Find s such that 2/17*s**a + 82/17*s**2 - 882/17 + 798/17*s = 0.
-21, 1
Suppose -5 = 3*h - 14. Suppose 0 = 3*u - 0*f - h*f - 48, 2*u - f = 30. Factor 8*p + 19 - 22*p**3 - 6*p**4 - u - 5 - 16*p**2.
-2*p*(p + 2)**2*(3*p - 1)
Suppose 3/2*p**3 - 9/2 + 9/2*p**2 - 3/2*p = 0. What is p?
-3, -1, 1
Factor 8/3*r**3 - 14/3 - 46/3*r**2 - 68/3*r.
2*(r - 7)*(r + 1)*(4*r + 1)/3
Let b(c) be the third derivative of c**5/210 + 47*c**4/84 + 1306*c**2. Factor b(v).
2*v*(v + 47)/7
Suppose 35*s - 5796 = -89*s - 152*s. Let u(j) be the second derivative of s + 2*j**3 - 2/15*j**6 + 11/6*j**4 - 3/10*j**5 - 2*j + 0*j**2. Factor u(i).
-2*i*(i - 2)*(i + 3)*(2*i + 1)
Suppose -3*z = b - 4 - 0, -10 = 5*b. Factor 606*m - 64*m**2 - 91*m**z - 596*m.
-5*m*(31*m - 2)
Let h = -1/24719 + 395515/271909. Factor h + 12/11*v - 10/11*v**2.
-2*(v - 2)*(5*v + 4)/11
Let -2/13*v**4 + 0 + 0*v + 24/13*v**3 + 440/13*v**2 = 0. Calculate v.
-10, 0, 22
Let y(l) be the third derivative of l**6/24 - 505*l**5/2 + 1275125*l**4/2 - 2575752500*l**3/3 - 14*l**2 - l + 114. Factor y(t).
5*(t - 1010)**3
Let y(c) = 6*c + 150. Let r be y(-25). Let s(j) be the third derivative of -5/6*j**3 - 34*j**2 + 7/48*j**4 + 0 + r*j - 1/120*j**5. Suppose s(o) = 0. What is o?
2, 5
Let n(l) = -l**2 - 12*l - 24. Let k be n(-9). Factor 3 + 2 - 3*v**2 - k*v + 1 + 0*v**2.
-3*(v - 1)*(v + 2)
Let j(i) be the third derivative of -i**7/105 + i**6/10 + 81*i**5/10 - 125*i**4/3 + 84*i**3 - 9776*i**2. Suppose j(n) = 0. What is n?
-14, 1, 18
Let d = 45327/1060 - 374/265. Let v = d + -163/4. Let 0 + 0*n**2 + 0*n + v*n**3 = 0. Calculate n.
0
Factor 323*o + 578 + 1/4*o**3 + 35/2*o**2.
(o + 2)*(o + 34)**2/4
Let q = 49287/4 - 344993/28. Factor -4/7*a**2 + 0 + q*a.
-4*a*(a - 1)/7
Suppose -20*o + 1370 = 1310. Let p(t) be the first derivative of 4/3*t**o + 16*t + 8*t**2 + 12. Let p(x) = 0. What is x?
-2
Suppose 0 = 76*t - 218*t + 284. Let c(l) be the second derivative of 14*l + 7/6*l**4 + 0 + 0*l**t - 2/3*l**3 - 1/2*l**5. Solve c(b) = 0.
0, 2/5, 1
Let o(z) be the second derivative of -3*z**5/20 + 39*z**4/2 + 162*z**3 + 492*z**2 - 2083*z. Factor o(j).
-3*(j - 82)*(j + 2)**2
Let u = -106 + 10. Let m = 144 + u. Factor -m*x**2 + 3*x**3 - 33*x - 9 - 6*x**3 - 9*x**3 - 6*x.
-3*(x + 3)*(2*x + 1)**2
Suppose 0 = -4*v - 4*q + 136 + 8, -v + 39 = 4*q. Suppose 8*z = -9624 + 9648. Factor 10/3 - v*d - 235/3*d**z + 85*d**2 + 25*d**4.
5*(d - 1)**3*(15*d - 2)/3
Let b = -197999/120 - -1650. Let l(k) be the third derivative of -5/12*k**3 + 3*k**2 - 1/12*k**4 + 0*k + 0 + b*k**5. Solve l(v) = 0 for v.
-1, 5
Suppose 10 = 90*t - 89*t. Factor 38 + 99*p + 10*p**2 - t - 25*p.
2*(p + 7)*(5*p + 2)
Let g(p) be the third derivative of -1/8*p**4 + 1/3*p**3 + 2*p**2 + 0*p - 1/480*p**6 + 1/40*p**5 - 5. Solve g(j) = 0.
2
Suppose -2*b + 26 = -4*w, 3*b = -0*b + 4*w + 33. Let p be 4 + (-14 - -9 - (1 - b)). Let 16/3*l**4 + 0*l**2 + 0 + 4/3*l**p + 16/3*l**3 + 0*l = 0. Calculate l.
-2, 0
Let d(k) = k**4 - k**3 - 5*k. Let y(b) = b**5 + 38*b**4 + 348*b**3 + 1476*b**2 + 1023*b - 2916. Let o(h) = 6*d(h) - y(h). Let o(i) = 0. What is i?
-12, -9, -3, 1
Let k(r) be the third derivative of -r**5/20 + 837*r**4/4 - 700569*r**3/2 + 14*r**2 - 5*r. Solve k(z) = 0 for z.
837
Suppose 32/7*f**2 + 8/7*f**3 - 64/7*f + 32/7 - 10/7*f**4 + 2/7*f**5 = 0. Calculate f.
-2, 1, 2
Let z(h) be the second derivative of h**6/180 - 83*h**5/40 + 1823*h**4/9 + 9728*h**3/3 - 32768*h**2/3 - 6661*h. What is l in z(l) = 0?
-8, 1, 128
Factor -28/3*t**2 - 2/3*t**3 - 48 - 40*t.
-2*(t + 2)*(t + 6)**2/3
Let i(p) be the second derivative of p**5/15 - 26*p**4 + 4056*p**3 + 134*p**2 + 47*p. Let m(w) be the first derivative of i(w). Factor m(x).
4*(x - 78)**2
Let l(g) be the first derivative of 68*g**5/45 + 5*g**4/9 - 184*g**3/27 + 16*g**2/3 - 432. Find w such that l(w) = 0.
-2, 0, 12/17, 1
Suppose -25*u + 8*u = -53 + 19. Let d(n) be the first derivative of -2/27*n**3 - 21 + 0*n - 1/9*n**u + 2/45*n**5 + 1/18*n**4. Let d(x) = 0. Calculate x.
-1, 0, 1
Let k = -3640 - -3644. Suppose -n = -0*n - 44. Determine y, given that -5*y**3 + k*y - n*y - 20*y**2 + 25*y = 0.
-3, -1, 0
Let t = -3023/17 + 6165/34. Determine s so that -7/2*s**4 + 3/2*s**3 + s - 5/2*s**5 + t*s**2 + 0 = 0.
-1, -2/5, 0, 1
Let f(u) be the third derivative of -1/2520*u**8 + 0*u + 1/225*u**5 - 62*u**2 - 1/36*u**4 + 1/1575*u**7 - 2 + 1/150*u**6 - 1/15*u**3. Let f(y) = 0. What is y?
-1, 1, 3
Let q(p) = 95*p**2 + 105*p - 465. Let a(x) = -25*x**2 - 26*x + 115. Let z(y) = 15*a(y) + 4*q(y). Factor z(k).
5*(k - 3)*(k + 9)
Solve -1985281/3 + 2818/3*l - 1/3*l**2 = 0 for l.
1409
Find n such that -1/3*n**4 - 202*n**2 + 35*n**3 + 1196/3*n - 264 = 0.
2, 99
Suppose -9*j + 27 = 9. Factor -117*b**2 - 64 + 128*b - 61*b**j + 254*b**2 + 10*b**3.
2*(b + 4)**2*(5*b - 2)
Let t = 409 - 406. Find c, given that 24*c + 125*c**2 - 365*c**2 + 104*c**2 - 10*c**t + 80*c**2 = 0.
-6, 0, 2/5
Let u be 15/4 + 6/(-8). Suppose -u*m + 2*m + 85 = 3*r, -20 = 4*m. Suppose 2*b**2 + 4 + r + 25*b - 7*b**2 - 4 = 0. Calculate b.
-1, 6
Let b(s) be the second derivative of -13/40*s**5 + 2/3*s**3 + 11/24*s**4 - 4/15*s**6 + 3 - 1/21*s**7 + 3*s - s**2. Solve b(a) = 0 for a.
-2, -1, 1/2
Suppose 61*m - 59*m + 4*x = -12, -m + 6 = -x. Find z such that 2/7 - 8/7*z**m + 6/7*z = 0.
-1/4, 1
Let m be ((-344)/903)/(-5 + 6511/1309). Suppose -m - 8/3*l**2 - 92/3*l = 0. What is l?
-11, -1/2
Let j = -32148 + 32148. Let g(f) be the first derivative of 5/2*f**4 + 1/5*f**5 + 0*f**2 + j*f - 6 + 3*f**3. Suppose g(y) = 0. Calculate y.
-9, -1, 0
Let j(d) be the first derivative of -25*d**3/3 - 405*d**2 + 495*d + 1441. Factor j(f).
-5*(f + 33)*(5*f - 3)
Let r = 85/14 - 603/112. Let l(j) be the first derivative of 5 - 1/6*j**3 + r*j**2 + 3/8*j. Factor l(t).
-(t - 3)*(4*t + 1)/8
Let g be (28/(-8) - -4)*0*(-9)/(-54). Let i(r) be the third derivative of 19*r**2 + 0 + 1/240*r**5 + g*r**3 + 0*r + 1/32*r**4. Factor i(n).
n*(n + 3)/4
Let q(z) be the third derivative of -z**7/105 + 65*z**6/36 - 6*z**5/5 - 17*z**2 + 2*z - 1. Factor q(g).
-2*g**2*(g - 108)*(3*g - 1)/3
Let c(l) be the third derivative of l**5/30 + 229*l**4/6 - 153*l**3 - 72*l**2 + 14*l. Factor c(u).
2*(u - 1)*(u + 459)
Let j(s) be the first derivative of s**4/12 - 4*s**3/3 + 6*s**2 + 13*s + 45. Let x(v) be the first derivative of j(v). Solve x(u) = 0.
2, 6
Let u(x) = 2*x + 18. Let q be u(-7). Suppose -10 - 47 = -3*c - 3*w, 0 = q*c - 4*w - 84. Let 8*l**2 + 8*l**2 - c*l**2 + 5*l**2 - 2*l = 0. What is l?
0, 2
Let d(f) be the third derivative of f**2 + 0 + 1/360*f**6 + 7/3*f**3 - 1/60*f**5 + 0*f**4 + 0*f. Let v(g) be the first derivative of d(g). Factor v(s).
s*(s - 2)
Let w(s) = 2*s**2 - 1. Let g(z) = -4*z**3 + 40*z**2 - 84*z + 44. Let b = 185 - 184. Let x(y) = b*g(y) + 4*w(y). Let x(l) = 0. Calculate l.
1, 10
Determine x so that -720 + 1048*x - 1400*x**2 + 189*x + 609*x + 245*x**3 + 14*x = 0.
6/7, 4
Let k(w) be the third derivative of w**5/180 + 5*w**4/9 + 38*w**3/9 + 2373*w**2. Factor k(d).
(d + 2)*(d + 38)/3
Let o be 4 - (-36)/(-10) - (-284)/(-10). Let f be -25 - o - 38/14. Factor 10/7*z**3 + 8/7*z + 16/7*z**2 + f*z**4 + 0.
2*z*(z + 1)*(z + 2)**2/7
Let r(g) = g**2 + 11*g - 57. Let q be r(-15). Let m(u) be the first derivative of -40*u**q + 0*u - 5/6*u**6 - 55/2*u**4 + 6 - 8*u**5 - 45/2*u**2. Factor m(j).
-5*j*(j + 1)**2*(j + 3)**2
Let r(x) be the first derivative of -13/21*x**3 - 3/14*x**4 + 74 + 2/7*x - 1/14*x**2. Determine s, given that r(s) = 0.
-2, -1/2, 1/3
Let l(x) be the first derivative of -36*x + 4/5*x**5 - 17/8*x**4 + 8 - 1/12*x**6 - 7/3*x**3 + 21*x**2. Suppose l(b) = 0. What is b?
-2, 2, 3
Let b = 114 - 1167. Let p = -3154/3 - b. Find f, given that -4/3 + p*f**2 + f**3 - 4/3*f = 0.
-2, -2/3, 1
Let f(n) be the first derivative of 14*n**5/5 - 863*n**4/2 - 4772*n**3/3 - 1012*n**2 + 1008*n - 1078. Determine j so that f(j) = 0.
-2, -1, 2/7, 126
Let m(n) be the third derivative of n**7/840 + n**6/20 + n**4/12 - 5*n**3/2 - 3*n**2 - 25*n. Let p(k) be the second derivative of m(k). Factor p(o).
3*o*(o + 12)
Let u(p) be the second derivative of -17*p + 1/6*p**4 - 4 + 2/3