 derivative of r**5/630 + 247*r**4/84 - 2*r**2 - 15*r - 69. Find t such that w(t) = 0.
-741, 0
Let f(v) be the third derivative of v**8/16800 + 11*v**7/1575 + 121*v**6/450 + 4*v**4 + 19*v**2. Let h(w) be the second derivative of f(w). Factor h(z).
2*z*(z + 22)**2/5
Suppose 4*w + 3*r = 169, 13*r - 18*r = -2*w + 65. Let l = w + -38. Factor 2/3*x**5 + 2/3 - 2*x**4 + 4/3*x**3 + 4/3*x**2 - l*x.
2*(x - 1)**4*(x + 1)/3
Solve -2/7*b**2 - 80/7*b - 78/7 = 0.
-39, -1
Let y(p) be the first derivative of 2*p**3/27 - 71*p**2/9 + 204*p - 7588. Factor y(n).
2*(n - 54)*(n - 17)/9
Suppose -5*r - 48 = 4*t, -9*t - 4*r = -14*t - 19. Let o be 100/24 - (-28)/t. Determine s so that 1/3*s**2 + 0 + o*s**3 + 1/6*s = 0.
-1, 0
Suppose 4*z + 504 = -4*k, z + 276 = -2*k + 5*z. Let m be (48/(-60))/(4/k). Find s such that -5*s**2 + 20 + 15*s + 10 + m - 6 = 0.
-2, 5
Let -224*s**3 + 49*s + 2560 + 440*s**3 - 220*s**3 - 160*s**2 + 15*s = 0. Calculate s.
-40, -4, 4
Let x(q) be the second derivative of -3*q - 1/2*q**4 - 1/20*q**5 - 30 + 5*q**2 - 1/2*q**3. Let x(b) = 0. Calculate b.
-5, -2, 1
Let q(f) be the second derivative of 4624/7*f**2 + f + 136/21*f**3 + 120 + 1/42*f**4. Factor q(t).
2*(t + 68)**2/7
Let x(r) be the first derivative of r**6/9 + 14*r**5/5 - 15*r**4/2 + 46*r**3/9 + 2796. Factor x(d).
2*d**2*(d - 1)**2*(d + 23)/3
Let i(k) be the first derivative of k**4/18 + 332*k**3/27 - 335*k**2/9 + 112*k/3 - 3837. Factor i(a).
2*(a - 1)**2*(a + 168)/9
Let x = 79 + -52. Let p(o) = 3*o**3 - 3*o + 2. Let i(l) = -39*l**3 + 39*l - 27. Let f(q) = x*p(q) + 2*i(q). Factor f(n).
3*n*(n - 1)*(n + 1)
Factor 0 - 4*p + 28/3*p**3 + 80/3*p**2.
4*p*(p + 3)*(7*p - 1)/3
Let d = 110 - 108. Suppose 11 = b - d*s - 2*s, 3*s + 78 = 3*b. Let -53*c**2 + 3*c - 3 + 28*c**2 + b*c**2 = 0. Calculate c.
-1, 1/2
Let f(j) be the third derivative of -1/12*j**4 + 2/7*j**3 + 0 - 3/70*j**5 + 0*j - 1/210*j**6 + 16*j**2. Let f(d) = 0. Calculate d.
-3, -2, 1/2
Let c(q) be the first derivative of 125*q**6/12 + 345*q**5/2 + 7025*q**4/8 + 2449*q**3/2 + 961*q**2/2 + 4166. Let c(s) = 0. What is s?
-31/5, -1, -2/5, 0
Let u = 895 + -54598/61. Let k = u + 265/427. Factor -2/7 + k*d - 2/7*d**2.
-2*(d - 1)**2/7
Factor 8*x**3 - 5*x**3 + 48487*x - 49510*x - 1020*x**2.
3*x*(x - 341)*(x + 1)
Let i be (2/3)/(1/(-3)). Let j(n) = -2*n**3 + 20*n. Let h(c) = 20*c - 3834156*c**2 + 3834156*c**2 - 3*c**3. Let p(l) = i*j(l) + 3*h(l). Factor p(w).
-5*w*(w - 2)*(w + 2)
Suppose h - 9 = -s - 3, 2*s - 3*h + 8 = 0. Let x be 30/70*s/6. Factor -8/7*o - 12/7*o**2 - x*o**4 - 6/7*o**3 + 0.
-o*(o + 2)**3/7
Let z be 2/(-21) - (-65)/21. Find t, given that 0*t**2 + 12*t**2 + 0*t**3 + z - 15*t**2 - 9*t + 9*t**3 = 0.
-1, 1/3, 1
Determine j so that -7/2*j**3 + 29/4*j**2 + 44*j + 1/4*j**4 - 48 = 0.
-3, 1, 8
Let g(b) = -5*b**3 + 48*b**2 + 239*b + 6. Let x(f) = -8*f**3 + 98*f**2 + 480*f + 10. Let s(t) = 5*g(t) - 3*x(t). Factor s(i).
-i*(i + 5)*(i + 49)
Let l(x) be the third derivative of -x**5/540 + 347*x**4/216 - 216*x**2. Factor l(r).
-r*(r - 347)/9
Let y = -702257 + 702264. Determine h, given that -1/2*h**4 + h**3 + y*h + 5/2 + 6*h**2 = 0.
-1, 5
Solve 106/13*n**4 - 2006/13*n**3 - 60192/13*n + 16518/13*n**2 + 77976/13 - 2/13*n**5 = 0.
3, 6, 19
Let x(p) = -19*p**3 - 16*p**2 + 20*p + 15. Let f(c) = -2*c**3 - 2*c**2 - 1. Suppose -34*w = -29*w + 180. Let u(y) = w*f(y) + 4*x(y). Factor u(a).
-4*(a - 6)*(a + 2)**2
Factor 21*g + 211*g + 610*g + 813 - 2345 - 72*g - 2*g**2.
-2*(g - 383)*(g - 2)
Let x(q) be the first derivative of q**4/4 - 25*q**3/2 + 82*q - 88. Let z(l) be the first derivative of x(l). Find n, given that z(n) = 0.
0, 25
Let a(s) = s**4 - 2*s - 1. Let w(y) = 8*y**4 - 35*y**3 - 125*y**2 + 329*y - 183. Let k(m) = -3*a(m) + w(m). Find z, given that k(z) = 0.
-4, 1, 9
Let s(i) = i**2 - 1485*i + 2978. Let j(z) = -9*z**2 + 11880*z - 23823. Let h(d) = 4*j(d) + 33*s(d). Factor h(g).
-3*(g - 2)*(g + 497)
Suppose 66*a**3 + 33*a**2 - 87*a**2 + 30*a**3 + 18*a**2 - 9*a**4 - 15*a**5 = 0. What is a?
-3, 0, 2/5, 2
Let m be (-3)/(-21) + -30*8/(-84). Let v(k) = -117*k - 1086. Let d(z) = -z**2 + 118*z + 1087. Let c(f) = m*d(f) + 4*v(f). Factor c(q).
-3*(q + 19)**2
Let n(p) be the second derivative of p**4/48 + 41*p**3/24 + 45*p**2/2 - 134*p - 3. Factor n(i).
(i + 5)*(i + 36)/4
Let g be (7/21)/((-2)/(-12)). Let r(f) be the first derivative of 6*f**g - f**3 - 14 - 75*f + 75*f. Let r(c) = 0. What is c?
0, 4
Let m be (10 + -7 + 357/35)*(-330)/(-48). Factor m + 3/4*n**2 + 33/2*n.
3*(n + 11)**2/4
Suppose -7*y - 652 + 344 = -336. Let g(a) be the first derivative of 14 - 1/4*a**y + 7/3*a**3 + 12*a - 8*a**2. Suppose g(u) = 0. Calculate u.
2, 3
Factor -21*w**3 + 2052*w + 4*w**4 - 47*w**3 - 3672 - w**2 - 28*w**2 - 3*w**2 - 76*w**2.
4*(w - 17)*(w - 3)**2*(w + 6)
Let s(p) be the third derivative of -p**7/105 + 17*p**6/20 - 311*p**5/15 - 65*p**4 + 1352*p**3/3 - 1331*p**2. Determine j so that s(j) = 0.
-2, 1, 26
Let c(r) be the second derivative of -r**4/4 + 487*r**3 - 711507*r**2/2 - 2*r + 589. Factor c(m).
-3*(m - 487)**2
Let l(u) be the second derivative of 0 + 26/33*u**4 + 1/55*u**5 - 1/231*u**7 - 133*u - 26/11*u**2 - 26/165*u**6 - 1/33*u**3. Suppose l(q) = 0. Calculate q.
-26, -1, 1
Suppose 8821*k**5 - 432*k**2 - 18*k**4 - 126*k - 8829*k**5 + 316*k**3 - 2*k = 0. Calculate k.
-8, -1/4, 0, 2, 4
Suppose -5*m - 9 - 6 = 0, -2*o - 27 = 5*m. Let z = o + 10. Let -5*d**3 - 19*d**4 + 17*d**z - d**3 = 0. Calculate d.
-3, 0
Determine b, given that -2697/7 - 3/7*b**2 + 180/7*b = 0.
29, 31
Suppose 38 = 8*f - 6*f + 4*c, -3*f = 3*c - 60. Let l be f - 16 - (0 + 2). Factor -2/11*r**l - 2/11*r + 0 - 4/11*r**2.
-2*r*(r + 1)**2/11
Determine l so that 200/9*l - 10/9*l**4 + 92/9*l**3 + 248/9*l**2 + 50/9 - 4/9*l**5 = 0.
-5, -1, -1/2, 5
Let o = 3055 + -3052. Let r(j) be the second derivative of -3/2*j**3 + 0 + 1/4*j**4 + o*j**2 - 33*j. What is l in r(l) = 0?
1, 2
Let c = -6 - -10. Let k = -432 - -435. Factor 16*d**3 + 4*d**5 + 13*d**4 + 10*d**4 - k*d**c.
4*d**3*(d + 1)*(d + 4)
Let i(l) be the first derivative of -5*l**4 - 432*l**3 + 1462*l**2 - 1608*l - 7311. Suppose i(n) = 0. What is n?
-67, 1, 6/5
Let r = 809 + -809. Let i(l) be the second derivative of -3/110*l**5 + r*l**4 + 0 + 0*l**2 - 11*l + 1/11*l**3. What is h in i(h) = 0?
-1, 0, 1
Let r = 2772 + -4668. Let g = 9481/5 + r. Factor 4/5 - 4/5*m + g*m**2.
(m - 2)**2/5
Let w be (-20)/110 + 600/33. Let j be 1/3 + w/(-54). Factor 1 + j + 2*p**3 - 5 - 6*p.
2*(p - 2)*(p + 1)**2
Solve -3/2 - 17661*n**5 - 11307/2*n**2 + 717/4*n + 5655*n**4 + 69927/4*n**3 = 0 for n.
-1, 1/58, 2/7, 1
Let s(a) be the third derivative of -a**5/45 - 19*a**4/18 - 140*a**3/9 + 2567*a**2. Suppose s(h) = 0. What is h?
-14, -5
Let z(l) be the second derivative of -9*l - 9/7*l**2 - 4 - 8/21*l**3 + 1/42*l**4. Solve z(x) = 0 for x.
-1, 9
Let g(n) be the second derivative of n**4/16 - 681*n**3/2 - 8175*n**2/8 + 4479*n. Factor g(x).
3*(x - 2725)*(x + 1)/4
Let c(j) = j**2 - 16*j - 15. Let v be c(17). Suppose 4*x - 2*q = 3*q + 8, 2 = x + v*q. Factor 204 - 5*w**x - 204.
-5*w**2
Let v(q) be the first derivative of -q**4/30 - 8*q**3/15 - 23*q**2/15 + 24*q/5 - 132. Factor v(w).
-2*(w - 1)*(w + 4)*(w + 9)/15
Let -12*v**5 - 1136/3*v**2 + 560/3*v - 388/3*v**3 + 0 + 424*v**4 = 0. Calculate v.
-1, 0, 2/3, 35
Suppose 2 = -18*n + 128. Let b be ((-40)/n + -1 - -3) + 4. Factor 0*a + 2/7*a**3 + 4/7*a**2 + 0 - b*a**4.
-2*a**2*(a - 2)*(a + 1)/7
Let m(z) = 3*z**2 - 2*z + 2. Let n be m(1). Factor -5*j**2 + 8 + 2*j**n + 8*j**2 + 0*j**2 - 8*j - 5*j**2.
2*(j - 2)*(j - 1)*(j + 2)
Suppose 92 = -0*w + 11*w + 35*w. Let d(t) be the first derivative of 7 - 2/9*t**w + 2/3*t - 2/27*t**3. Determine i, given that d(i) = 0.
-3, 1
Suppose -3 = -622*g + 544*g - 3. Factor -3/4*c + 3/8*c**2 + g + 3/8*c**3.
3*c*(c - 1)*(c + 2)/8
Let g(c) be the third derivative of -c**5/270 + 280*c**4/27 - 313600*c**3/27 + 2843*c**2. Find b such that g(b) = 0.
560
Let l(i) be the third derivative of 32*i**7/35 + 22*i**6/5 - 639*i**5/20 + 405*i**4/8 + 73*i**2 - 3*i. Factor l(o).
3*o*(o + 5)*(8*o - 9)**2
Suppose -2*h = -5*l + 3*h + 190, 162 = 5*l + 2*h. Find v, given that 11*v + 4*v**3 - 30*v + 38*v**4 - 17*v - 36*v**2 - l*v**4 = 0.
-3, -1, 0, 3
Let u(y) = -6*y**3 + 2*y**2 + 4*y + 1. Let a be u(-1). Let k(w) = 4*w**2 + w + 3. Let m(g) = -9*g