f c(f). Factor w(y).
-(y + 2)*(y + 15)/4
Factor 5010*b**2 + 7734*b + 1665606*b + 186298520 + 3705*b**3 - 3700*b**3.
5*(b + 334)**3
Let v(c) = -c**2 + c - 20. Let q(k) = 4*k**3 - 307*k**2 - k + 244. Let w(m) = -q(m) + 3*v(m). Find j such that w(j) = 0.
-1, 1, 76
Let u(y) = 0*y + 242 - 210 - 6*y. Let x be u(5). Determine r, given that 8/15 - 2/5*r**x - 2/15*r**3 + 0*r = 0.
-2, 1
Let f(r) be the second derivative of r**7/210 - 11*r**6/150 - 23*r**5/50 + 14*r**4/15 - 301*r. Suppose f(y) = 0. Calculate y.
-4, 0, 1, 14
Let h be 2950*1 + -15 + 16. Factor -2952*p + h*p + 37*p**2 - 14*p**2.
p*(23*p - 1)
Let i(h) be the third derivative of 0 + 4541/75*h**5 - 168*h**2 - 1/840*h**8 + 6859/15*h**3 - 14801/60*h**4 - 599/150*h**6 + 59/525*h**7 + 0*h. Solve i(x) = 0.
1, 19
Find c such that 2/3*c + 28/3 - 28/3*c**2 - 2/3*c**3 = 0.
-14, -1, 1
Let v(z) = 7*z - 23. Let y be v(9). Let h be 3/(6/(-10))*-1. Factor 40*m**2 + 0 + 4 + y*m**3 + 26*m**h + 20*m**4 + 20*m - 22*m**5.
4*(m + 1)**5
Let o = -24157 + 72475/3. Factor o + 5/3*d + 1/3*d**2.
(d + 1)*(d + 4)/3
Suppose 0 = -6*n + 5 + 19. Suppose -5*z + 2*z + 9 = 0. Find l such that -7*l**2 - z*l**2 + 18*l**3 - 14*l**n + 6*l**2 = 0.
0, 2/7, 1
Let i(v) be the third derivative of 0*v**3 + 1/84*v**8 + 0*v**5 + 0*v + 0*v**6 + 2/105*v**7 + 0*v**4 + 13*v**2 + 0. Factor i(g).
4*g**4*(g + 1)
Let z(k) be the second derivative of -5/8*k**4 + 0 - 5/32*k**5 + 3*k**3 - 4*k**2 + 35*k. Factor z(b).
-(b + 4)*(5*b - 4)**2/8
Let y(c) be the second derivative of -c**5/20 + 5*c**4/21 + 31*c**3/42 + 2*c**2/7 + 71*c + 7. Factor y(z).
-(z - 4)*(z + 1)*(7*z + 1)/7
Let g(v) be the second derivative of -v**8/16800 - v**7/3150 + 19*v**4/2 - 35*v - 1. Let x(s) be the third derivative of g(s). Factor x(m).
-2*m**2*(m + 2)/5
Let p(f) be the third derivative of 0*f + 0 + 7/20*f**5 + 0*f**3 + 1/40*f**6 + 3/2*f**4 + 200*f**2. Let p(q) = 0. What is q?
-4, -3, 0
Let a(g) be the first derivative of -g**6/90 - g**5/30 + 181*g + 101. Let y(q) be the first derivative of a(q). Factor y(v).
-v**3*(v + 2)/3
Suppose 148 = 64*j - 62*j. Determine v so that j*v**2 - 18*v - 3*v**3 + v**3 - 8 - 86*v**2 = 0.
-4, -1
Let t(b) be the third derivative of 1/80*b**5 - 56*b**2 + b - 1/280*b**7 - 1/16*b**4 + 0*b**3 + 0 + 1/80*b**6. Factor t(m).
-3*m*(m - 2)*(m - 1)*(m + 1)/4
Determine a so that -8/9*a + 2/3 + 2/9*a**2 = 0.
1, 3
Let -1104/5*u - 4/5*u**4 - 176/5*u**3 - 808/5*u**2 - 468/5 = 0. What is u?
-39, -3, -1
Let q(n) be the first derivative of -96 - n**5 + 5/3*n**3 + 0*n + 5/2*n**2 - 5/4*n**4. Factor q(l).
-5*l*(l - 1)*(l + 1)**2
Let 34/7*c + 2/7*c**2 + 0 = 0. Calculate c.
-17, 0
Let u be 17 + (44132/(-119))/22. Let i(n) be the first derivative of 0*n + 33 + 2/21*n**3 - 2/35*n**5 + 2/7*n**2 - u*n**4. Let i(g) = 0. What is g?
-2, -1, 0, 1
Let q be (-10)/(-15) - 40/(-12). Let m be (q - 24/4)*(-9)/2. Factor 4*i**2 - 20 + i + 19*i - m*i**2.
-5*(i - 2)**2
Let r(u) = -76*u + 686. Let q be r(9). Let t(n) be the first derivative of 9 - q*n**2 + 4*n + 1/3*n**3. Determine l so that t(l) = 0.
2
Let q be (2 + -1)*7/((-56)/(-232)). Factor -31 - 17 + q*v - 10*v**2 - 34*v + 73*v.
-2*(v - 6)*(5*v - 4)
Let n = -152 + 155. Let -907*h**2 - 923*h**2 + 1839*h**2 - h**n + 4*h + h**4 + 7*h**3 = 0. What is h?
-4, -1, 0
Let t = -9704 + 9719. Let m(z) be the second derivative of -1/36*z**4 + 0 + 1/18*z**3 + 1/3*z**2 + t*z. Suppose m(y) = 0. What is y?
-1, 2
Suppose -14 - 157/6*d + 2*d**3 - 41/4*d**2 + 1/12*d**4 = 0. What is d?
-28, -1, 6
Let y(v) be the second derivative of -29/3*v**3 - 21/10*v**5 - 28*v + 163/24*v**4 + 5 + 7*v**2 + 3/20*v**6. Factor y(t).
(t - 7)*(t - 1)*(3*t - 2)**2/2
Let n(h) be the third derivative of -h**7/1890 + 2*h**6/135 + h**5/10 - 55*h**4/24 + 11*h**2 - 2. Let y(j) be the second derivative of n(j). Factor y(p).
-4*(p - 9)*(p + 1)/3
Suppose 113*b - 40 = 115*b + 4*u, b = -4*u - 42. Let t = 153/70 + 3/14. Factor g**3 + 2/5 + t*g**b + 9/5*g.
(g + 1)**2*(5*g + 2)/5
Let n(q) be the second derivative of -q**5/35 + 9*q**4/14 + 29*q**3/21 + 513*q. Factor n(a).
-2*a*(a + 1)*(2*a - 29)/7
Let n = -126 + 297. Suppose -3*r + 2*y = -363, -313 = -4*r + y + n. Factor 249*m**3 - r*m**3 - 125*m**3 - 3*m.
3*m*(m - 1)*(m + 1)
Let j(b) be the first derivative of -82 - 40/13*b - 24/13*b**2 + 18/65*b**5 + 1/39*b**6 + 23/26*b**4 + 22/39*b**3. Solve j(w) = 0 for w.
-5, -2, -1, 1
Suppose 12*j = 53 + 79. Suppose 0 = -7*y + j*y - 8. Factor 437*w**y - 38 - 62 - 438*w**2 + 20*w.
-(w - 10)**2
Let x = 284702 + -284698. Factor -2*r + 0*r**3 + 3/4 - 1/4*r**x + 3/2*r**2.
-(r - 1)**3*(r + 3)/4
Let f(j) = j**2 + 5*j - 61. Suppose 19*m + 561 = -32*m. Let s be f(m). Let 2/3*n**4 + 2/3 - 1/3*n**s - 4/3*n**2 + 2/3*n**3 - 1/3*n = 0. Calculate n.
-1, 1, 2
Let z be (-11 - -6)/(-2 - (0 + -1)). Suppose -38 + 48 = z*f. Solve -12*b**3 - 8 + 16*b**2 + 12*b - 18*b**4 - f*b**4 + 24*b**2 - 12*b**2 = 0 for b.
-1, 2/5, 1
Factor -56017*i**2 + 17*i**3 + 56782*i**2 - 4*i**4 + i**4 + 37*i**3 + 2100*i.
-3*i*(i - 28)*(i + 5)**2
Let w(c) be the second derivative of -c**7/1050 + c**6/18 + 20*c**3/3 - 33*c. Let y(a) be the second derivative of w(a). Solve y(s) = 0.
0, 25
Let t = -39 + 51. Solve -10*p**2 + t*p**5 - 7*p**5 - 14*p**3 - p**3 = 0 for p.
-1, 0, 2
Let g(i) be the third derivative of 27889*i**5/60 + 167*i**4/6 + 2*i**3/3 - 5508*i**2. Factor g(y).
(167*y + 2)**2
Suppose -608*c**2 - 108*c - 1458 + 1215*c**2 - 609*c**2 = 0. Calculate c.
-27
Let n(p) be the first derivative of 34/3*p - 1/6*p**4 + 11*p**2 + 44 + 10/3*p**3. Factor n(b).
-2*(b - 17)*(b + 1)**2/3
Let j(r) be the second derivative of r**7/105 - r**6/20 + r**5/15 + 36*r**2 + 77*r. Let t(g) be the first derivative of j(g). Factor t(m).
2*m**2*(m - 2)*(m - 1)
Suppose -18 = -5*t + 2. Suppose t - 34 = -3*j. Factor 0*g**2 + 5*g**2 + 12*g + j + 3*g.
5*(g + 1)*(g + 2)
Let l = -5851/51 + 443/17. Let x = l + 89. Factor 10/3*i**3 + 10/3*i**2 + 5/3*i**4 + x*i**5 + 1/3 + 5/3*i.
(i + 1)**5/3
Let h be 595/35*(-10)/(-85). Let 6/7*r**4 + 3*r**3 - 24/7*r**h + 0 - 3/7*r**5 - 36/7*r = 0. Calculate r.
-2, -1, 0, 2, 3
Let c be 30/(-6)*3/5. Let a(j) = -j**2 + j + 3. Let r(w) = -4*w**2 + 13*w. Let p(m) = c*a(m) + r(m). Solve p(x) = 0 for x.
1, 9
Factor -10*b**2 + 13*b**2 - 2327 + 40*b + 2299.
(b + 14)*(3*b - 2)
Determine r so that 0 - 2/3*r**5 + 574600/3*r**2 - 8580*r**3 - 549250/3*r + 392/3*r**4 = 0.
0, 1, 65
What is v in 242*v - 228 + 249*v - 4*v**2 - 259*v = 0?
1, 57
Suppose -18*q + 139*q**2 + 28*q**3 - 5*q**5 + 130*q**2 + 112*q**2 - 24*q**4 - 5*q**5 - 357*q**2 = 0. What is q?
-3, -1, 0, 3/5, 1
Determine z so that -2*z**3 + 8/5*z + 12*z**2 - 48/5 - 12/5*z**4 + 2/5*z**5 = 0.
-2, -1, 1, 2, 6
Determine f so that 89*f**2 - 1 + 100*f**2 + 1 + 3*f**4 - 33*f**3 - 117*f**2 = 0.
0, 3, 8
Let t(i) be the first derivative of -14 - 1/4*i**3 + 15/2*i**2 - 75*i. Determine r, given that t(r) = 0.
10
Let z(j) be the second derivative of -14/51*j**3 + 21 + 2/17*j**4 + 5/17*j**2 - 1/255*j**6 + 2*j - 1/85*j**5. Factor z(n).
-2*(n - 1)**3*(n + 5)/17
Suppose -5*m = -2*k - 24, -22 = -3922*m + 3925*m + 4*k. Factor 3/5*v**m + 0 - 1/5*v.
v*(3*v - 1)/5
Let j = -502906 + 502908. Let -4/7 - 2*l**j + 18/7*l = 0. Calculate l.
2/7, 1
Let y(s) be the second derivative of 5*s**7/56 + 2*s**6/9 + s**5/24 + 5*s**3/3 + s**2 + 24*s. Let t(d) be the second derivative of y(d). Factor t(c).
5*c*(c + 1)*(15*c + 1)
Let 976/3 + 968/3*j**2 + 4/3*j**3 - 1948/3*j = 0. What is j?
-244, 1
Let p(r) be the second derivative of 5*r**4/12 - 1405*r**3 + 3553245*r**2/2 - 17*r - 80. Factor p(c).
5*(c - 843)**2
Let c(d) = 6*d**2 + 21*d - 7. Let b(r) = -10*r**2 - 32*r + 10. Let p be (4/(-1))/(4/(-5)). Let x(w) = p*b(w) + 8*c(w). Find o, given that x(o) = 0.
1, 3
Let p(j) = j**3 + 5*j**2 - 2*j + 25. Let w be p(-6). Let s = w + 2. Determine h, given that 3/4*h**4 - 3/4*h**2 + 0 + 0*h**s + 0*h = 0.
-1, 0, 1
Determine v, given that 3/8 - 3/8*v**2 + 0*v = 0.
-1, 1
Let i be ((4 - 9)*-1)/5 + (-1 - -2). Let a(j) be the second derivative of 3*j + 11/9*j**3 + 0 - 5/6*j**4 - 2/3*j**i. Find w such that a(w) = 0.
1/3, 2/5
Solve -38*j**3 + 383743*j + j**4 - 383743*j = 0 for j.
0, 38
Let w(j) be the third derivative of 2*j**7/105 + 197*j**6/10 + 29008*j**5/5 - 43808*j**4/3 - 2*j**2 + 1060*j. Find c, given that w(c) = 0.
-296, 0, 1
Let v(c) be the third