 - 808 + 31253*j + j**2 - 2*j**2 = 0.
-202, 2
Let u be (23/1863)/(2/(-12)) - (-13209)/2268. Factor u*f + 3/2 - 5/4*f**2 - f**3.
-(f - 2)*(f + 3)*(4*f + 1)/4
Factor 400*o**3 - 271*o**2 + 4040*o - 296 - 63*o**4 - 2339*o**2 - 1529 + 58*o**4.
-5*(o - 73)*(o - 5)*(o - 1)**2
Suppose -8 = 521*z - 525*z. Determine h, given that 6*h**2 + 24 - 2*h**z + 0*h - 20*h = 0.
2, 3
Let t(d) = 21*d + 9. Let z be t(4). Let f = z + -81. Suppose 24*a - 84*a**2 - 39*a**4 + 102*a**3 - f*a**4 + 7*a**5 + 2*a**5 = 0. What is a?
0, 2/3, 1, 2
Let l(g) be the first derivative of -g**6/2 - 72*g**5/5 - 297*g**4/2 - 652*g**3 - 2403*g**2/2 - 972*g - 3425. Find c such that l(c) = 0.
-9, -4, -1
Let c(q) be the second derivative of 23*q - 4 - 8/15*q**2 + 1/90*q**4 + 7/45*q**3. Factor c(i).
2*(i - 1)*(i + 8)/15
Let d(s) = 3*s - 1. Let c be d(6). Suppose 5*n - p - 5 = -3*p, -4*n + p + c = 0. Factor 108*z**3 - 112*z**n - z**5 + 5*z**5.
4*z**3*(z - 1)*(z + 1)
Let r(y) be the first derivative of 16*y + 34 + 4/3*y**2 + 1/18*y**4 - 20/27*y**3. Let r(i) = 0. What is i?
-2, 6
Let k(w) be the first derivative of w**6/36 - 2*w**5/15 + w**4/4 + 211*w**3/3 + 221. Let z(o) be the third derivative of k(o). Let z(v) = 0. What is v?
3/5, 1
Let l(m) = 16*m**4 - 496*m**3 - 1439*m**2 - 983*m. Let j(o) = -5*o**4 + 164*o**3 + 481*o**2 + 328*o. Let b(z) = -7*j(z) - 2*l(z). Factor b(h).
3*h*(h - 55)*(h + 1)*(h + 2)
Let u(n) be the first derivative of -83 - 1/60*n**6 + 0*n + 1/15*n**3 + 0*n**5 + 0*n**2 + 3/40*n**4. Factor u(f).
-f**2*(f - 2)*(f + 1)**2/10
Let t(w) be the first derivative of -2*w**3/39 + 1238*w**2/13 - 766322*w/13 + 1819. Factor t(q).
-2*(q - 619)**2/13
Let f = 19561 + -19561. Let w(v) be the third derivative of f*v - 2/3*v**4 - 39*v**2 + 1/6*v**6 + 8/15*v**5 + 0 + 0*v**3. Factor w(d).
4*d*(d + 2)*(5*d - 2)
Suppose -3*n = 5*w + 16, -7*n + 22 = -3*n - 2*w. Factor -16*g**3 - 11*g**2 + 6*g**3 - 10*g**2 + 7*g**n + 24*g.
-3*g*(g - 1)*(g + 8)
Let x(p) = -8*p**2 - 24*p - 5. Let k be x(-3). Let a be k/(((-30)/4)/3). Factor -9*y - 1/4*y**3 - 3*y**a + 0.
-y*(y + 6)**2/4
Let r(u) be the second derivative of -u**6/180 + u**5/30 + 19*u**4/72 + 7*u**3/18 - 122*u. Factor r(k).
-k*(k - 7)*(k + 1)*(k + 2)/6
Let d(c) = c**2 + 15*c - 31. Let i be (1 + 2/(-6))/((-4)/102). Let v be d(i). Let 2 - 1 + 3*o**4 + 8*o**2 - 2*o + 7*o**2 - 19*o**2 + 2*o**v = 0. Calculate o.
-1, 1/3, 1
Factor -2*u**2 - 558*u - u**2 - 1051 - 638 - 495.
-3*(u + 4)*(u + 182)
Let u(t) = 287*t**3 - 2*t**2 - 3*t + 4. Let y be u(1). Let m = -286 + y. Factor -1/4*j**4 + m*j + 0 + 1/4*j**2 + 0*j**3.
-j**2*(j - 1)*(j + 1)/4
Let w(r) be the second derivative of r**6/660 + r**5/30 - 25*r**4/132 + 13*r**3/33 + 111*r**2/2 - 45*r. Let l(i) be the first derivative of w(i). Factor l(z).
2*(z - 1)**2*(z + 13)/11
Let a(q) be the first derivative of 5*q**3/3 + 100*q**2 + 380*q - 1416. Determine b so that a(b) = 0.
-38, -2
Let h(s) be the third derivative of s**7/210 - 91*s**6/30 - 367*s**5/20 - s**4/6 + 734*s**3/3 + 3974*s**2. Factor h(m).
(m - 367)*(m - 1)*(m + 2)**2
Let o = -504 - -506. Let h(w) be the second derivative of 2/3*w**3 + 0*w**o + 0 - 1/3*w**4 + 2/15*w**6 - 1/42*w**7 + 5*w - 3/20*w**5. Solve h(s) = 0 for s.
-1, 0, 1, 2
Factor -168508*m - 254616 + 1/2*m**4 + 171389/2*m**2 - 413*m**3.
(m - 412)**2*(m - 3)*(m + 1)/2
Let t(f) be the first derivative of 15/2*f**2 + 0*f - 14 + 0*f**3 + 1/270*f**5 + 1/54*f**4. Let b(u) be the second derivative of t(u). Factor b(s).
2*s*(s + 2)/9
Suppose -418*t + 416*t = -48. Let n be t/(-45)*(-72)/32. Factor 3/5*p + 0 + 0*p**4 - n*p**3 + 0*p**2 + 3/5*p**5.
3*p*(p - 1)**2*(p + 1)**2/5
Let n(m) be the third derivative of m**8/672 + 13*m**7/120 + 97*m**6/240 - 221*m**5/60 + 203*m**4/24 - 215*m**3/24 - 131*m**2 - 30*m. Let n(b) = 0. Calculate b.
-43, -5, 1/2, 1
Let i(l) = 9*l**3 + 701*l**2 + 24495*l - 25209. Let m(z) = 19*z**3 + 1401*z**2 + 48990*z - 50419. Let v(a) = 9*i(a) - 4*m(a). Factor v(t).
5*(t - 1)*(t + 71)**2
Let c(a) be the first derivative of -a**4/5 + 4*a**3/3 + 12*a**2/5 - 291. Determine k, given that c(k) = 0.
-1, 0, 6
Determine t so that -3507*t + 1776*t - t**3 - 68 + 1795*t - 13*t**2 = 0.
-17, 2
Suppose 4545*u**2 + 36*u**3 + 9 - 9091*u**2 - 15*u**4 + 4528*u**2 - 12*u = 0. Calculate u.
-3/5, 1
Factor -40*o + 1/5*o**4 - 16/5*o**3 - 217/5*o**2 + 0.
o*(o - 25)*(o + 1)*(o + 8)/5
Let r be ((-390)/(-40))/((-1)/(-84)). Suppose 3*g - 96 = r. Let 31*u**3 - 100*u**4 - 114*u**2 + 8*u**5 - 30*u**2 + g*u**3 = 0. Calculate u.
0, 1/2, 6
Let c(v) be the first derivative of v**4/28 - 25*v**3/21 - 4331. What is r in c(r) = 0?
0, 25
Let x(w) be the second derivative of 1/21*w**4 + 0*w**2 - 1/147*w**7 + 0*w**5 + 1/21*w**3 + w - 3 - 2/105*w**6. Factor x(z).
-2*z*(z - 1)*(z + 1)**3/7
Let f(s) be the first derivative of -s**7/1680 - s**6/360 - 134*s**3/3 - 19. Let g(v) be the third derivative of f(v). Factor g(y).
-y**2*(y + 2)/2
Let g(q) be the third derivative of -5*q - 1/80*q**5 - 1/320*q**6 + 0 - q**2 + 0*q**3 + 3/64*q**4. Factor g(u).
-3*u*(u - 1)*(u + 3)/8
Let d be (3/(-5))/((-3)/15). Let a(m) = 10*m + 202. Let z be a(-20). Solve 0*j**z - 2 - d*j**2 + 4*j**2 + j**2 = 0.
-1, 1
Let a be 229 - 18*14/63. Let v be (10/6)/(a/315). Factor -2/3*r + v*r**3 - 5/3*r**2 + 0.
r*(r - 1)*(7*r + 2)/3
Determine o so that -266*o**4 + 440 - 11*o**3 + 62*o**4 + 391*o**3 - 768*o - 3*o**5 - 1224 + 604*o**2 + 7*o**5 = 0.
-1, 2, 49
Suppose 0 = -z + 2*c - 5 - 6, z = -5*c - 25. Let l(k) = -3*k - 31. Let y be l(z). Suppose -74*m + 4*m**2 - y*m + 484 + 0*m**2 = 0. Calculate m.
11
Let k(s) = -4*s + 110. Let o be k(25). Let q be 7 - (-71)/(-10) - (-21)/o. Factor 0*c + 0 + 2/5*c**q.
2*c**2/5
Let y be 5/(-50) + (-11)/(-220)*(-174)/(-7). Factor -y*i - 2/7*i**2 + 0.
-2*i*(i + 4)/7
Let i(y) be the second derivative of 1/135*y**6 - 1/45*y**5 - 4/9*y**2 + 0 + 8/27*y**3 - 61*y - 1/18*y**4. Suppose i(z) = 0. Calculate z.
-2, 1, 2
Let -36*m**3 + 0*m**2 - 8*m**3 - 3*m**4 - 6*m**2 - 9*m**2 + 6*m**4 = 0. Calculate m.
-1/3, 0, 15
Let x(s) be the second derivative of -s**7/63 - s**6/3 + 127*s**5/30 + 5*s**4/6 - 14*s**3 + 72*s - 6. Let x(o) = 0. What is o?
-21, -1, 0, 1, 6
Let u = -178 + 2671/15. Let q(m) be the second derivative of 13*m + 0 - u*m**4 + 0*m**2 + 2/3*m**3. Factor q(d).
-4*d*(d - 5)/5
Factor -108 + 96/7*a - 3/7*a**2.
-3*(a - 18)*(a - 14)/7
Let h(a) be the second derivative of a**6/45 - 8*a**5/15 + 37*a**4/9 - 104*a**3/9 + 15*a**2 - 3*a + 15. Solve h(r) = 0.
1, 5, 9
Let x(m) be the third derivative of 1/48*m**5 - 60*m**2 + 0*m**3 + 0*m + 0*m**4 + 0 + 1/480*m**6. Factor x(h).
h**2*(h + 5)/4
Let g(b) be the second derivative of b**6/210 - 34*b**5/7 + 58139*b**4/42 - 38420*b**3/7 + 114921*b**2/14 - 219*b + 5. Let g(x) = 0. Calculate x.
1, 339
Let z(g) be the third derivative of 0 + 0*g**3 + 0*g + 0*g**4 - 1/1680*g**7 - 1/48*g**5 + 11/960*g**6 + 98*g**2. Factor z(b).
-b**2*(b - 10)*(b - 1)/8
Let g be 27*(-15)/(-3240) - (0 - 62188/160). Factor -1/5*f**4 - g*f**2 - 23328/5*f - 72/5*f**3 - 104976/5.
-(f + 18)**4/5
Let c(k) be the second derivative of 1/4*k**5 + 82*k - 1/42*k**7 + 1/30*k**6 - 4/3*k**3 + 0 - 2*k**2 - 1/12*k**4. Factor c(h).
-(h - 2)**2*(h + 1)**3
Let w(a) be the first derivative of a**6/16 + 17*a**5/8 + 131*a**4/16 + 51*a**3/4 + 151*a**2/16 + 25*a/8 + 1077. Suppose w(j) = 0. What is j?
-25, -1, -1/3
Let t(s) be the second derivative of -s**5/30 - 43*s**4/18 - 10*s**3/3 + 168*s**2 + 5184*s. Factor t(a).
-2*(a - 3)*(a + 4)*(a + 42)/3
Suppose 308/3*y - 308/3*y**3 + 2/15*y**4 + 514/5 - 1544/15*y**2 = 0. What is y?
-1, 1, 771
Let h be ((-35)/21)/5 - (-86)/123. Let w = h - -63/164. Factor 0 + 3/4*n**4 - 3/8*n**5 + 0*n**3 - w*n**2 + 3/8*n.
-3*n*(n - 1)**3*(n + 1)/8
Let y(a) be the third derivative of -2/15*a**5 + 0 + 1/105*a**7 - 105*a**2 + 0*a**3 + 0*a**4 + 0*a + 1/168*a**8 - 1/15*a**6. Factor y(u).
2*u**2*(u - 2)*(u + 1)*(u + 2)
Suppose 3*u = -5*j - 1174, -j + 1171 = -6*j - 2*u. Let q = j - -235. Factor -2/5 - g - 4/5*g**q - 1/5*g**3.
-(g + 1)**2*(g + 2)/5
Let h(r) = -4*r**3 - 23*r**2 + 231*r + 225. Let q(z) = 4*z**3 + 24*z**2 - 224*z - 224. Let i(k) = 4*h(k) + 5*q(k). Factor i(w).
4*(w - 5)*(w + 1)*(w + 11)
Let a(g) be the first derivative of 4*g**5/25 + 13*g**4/5 + 16*g**3/5 - 512*g**2/5 - 1024*g/5 - 278. Solve a(x) = 0.
-8, -1, 4
Let f be (9