19*n.
2*n*(n - 7)**2*(n - 1)**2/19
Suppose 2*y - 2252 = 2*x, 4*x + 3386 = 3*y + 3*x. Suppose -r + 280 = -c, 0*r + 4*r - 2*c = y. Factor -27 - 5*i**2 - 188 - r + 100*i.
-5*(i - 10)**2
Let q(l) be the second derivative of -l**7/14 - 11*l**6/5 - 243*l**5/10 - 91*l**4 + 539*l**3/2 + 3087*l**2 - l - 525. Suppose q(f) = 0. Calculate f.
-7, -3, 2
Let i(m) be the third derivative of m**5/30 - 67*m**4/12 + 64*m**3 + 1566*m**2. Determine b, given that i(b) = 0.
3, 64
Let r(m) = -20*m**3 + 170*m**2 - 180*m - 145. Let z(s) = -s**3 + 7*s**2 - 2*s - 1. Let k(p) = r(p) - 25*z(p). Suppose k(u) = 0. Calculate u.
-4, -1, 6
Let x(r) be the first derivative of 5/3*r**3 + 15 - 15*r**2 + 40*r. Suppose x(z) = 0. What is z?
2, 4
Let w = -663 - -665. Factor -2*b**w + b**4 + 3*b**2 + 5*b**2 + 8*b**3 - 8*b - 4 - 3.
(b - 1)*(b + 1)**2*(b + 7)
Let u(k) = -k**3 - 12*k**2 + 11*k - 23. Let g be u(-13). Factor g - 4 + 17 - 8*o - o**2 + 2*o**2.
(o - 4)**2
Let t = -391668 - -391670. Suppose 2/5*s**t + 4/5 - 6/5*s = 0. Calculate s.
1, 2
Let n(u) be the first derivative of 2/15*u**3 + 8978/5*u + 145 + 134/5*u**2. Factor n(b).
2*(b + 67)**2/5
Factor -21*r + 19 + 518*r**3 - 275*r**3 - 2*r**4 - 20*r**2 + 3*r**4 - 261*r**3 + 39*r.
(r - 19)*(r - 1)*(r + 1)**2
Let r = 49968 + -49965. What is l in 16/5*l**2 - 66/5*l + 6/5*l**r + 4 = 0?
-5, 1/3, 2
Let b(s) be the second derivative of s**4/72 - 10*s**3/9 - 7*s**2 + 3*s - 108. Solve b(y) = 0 for y.
-2, 42
What is n in -3/2*n**2 + 1227/4 - 1221/4*n**4 + 1227/2*n**3 - 3/4*n**5 - 2451/4*n = 0?
-409, -1, 1
Solve -1017/2*r - 510 + 3/2*r**2 = 0 for r.
-1, 340
Let h(m) be the first derivative of -m**5/10 + 7*m**4/2 - 13*m**3 + 19*m**2 - 25*m/2 + 3440. Determine r so that h(r) = 0.
1, 25
Let y(m) be the third derivative of 0*m**4 + 0*m**3 + 0 + 0*m - 5/24*m**6 - 2*m**2 + 1/10*m**5 - 3/70*m**7. Factor y(i).
-i**2*(i + 3)*(9*i - 2)
Let p(w) be the second derivative of -w**6/2 + 337*w**5/2 - 186995*w**4/12 - 129950*w**3/3 + 127690*w**2 + 15*w - 42. Solve p(x) = 0 for x.
-2, 2/3, 113
Let a(h) be the second derivative of -h**6/15 + 7*h**5/10 + 4*h**4/3 + h - 16. Find f, given that a(f) = 0.
-1, 0, 8
Let u be 55/(-22)*3*24/(-60). Let 22/3*h**2 + 2*h**u + 0 - 8/3*h = 0. Calculate h.
-4, 0, 1/3
Let m(a) be the second derivative of -a**5/480 + 35*a**4/96 - 1225*a**3/48 - 81*a**2 + 60*a. Let r(q) be the first derivative of m(q). Factor r(d).
-(d - 35)**2/8
Suppose 4*k + 30 = 2*n, -3 = 5*n - 3*k - 106. Let 3*g**3 - 23*g + g**2 - 24 + n*g**2 + 20*g = 0. What is g?
-8, -1, 1
Suppose 3*w = 3*b - 9, 3*b + 7 - 6 = -2*w. Let c be ((-1)/b - -1) + 60/16. Let 0 - 6*r**3 + 9/2*r + c*r**2 - 9/4*r**4 = 0. Calculate r.
-3, -2/3, 0, 1
Suppose -308*q = -319*q + 165. Let t(j) be the third derivative of -q*j**2 + 1/48*j**4 - 1/240*j**5 - 1/24*j**3 + 0 + 0*j. Factor t(o).
-(o - 1)**2/4
Let r(c) be the second derivative of -c + 1/12*c**4 + 8 + 5*c**3 + 225/2*c**2. Factor r(s).
(s + 15)**2
Let y(g) = g**3 + 22*g**2 + 2*g + 48. Let x be y(-22). Determine m, given that 3*m**x + 33*m**2 - 15*m**3 - 49*m**2 + 2*m**4 + 26*m**2 + 0*m**4 = 0.
0, 1, 2
Suppose 2*j - 5*v = -3*v + 70, 4*j + v = 130. Let i be 0/3 + (-1)/(j/(-54)). Factor -12/11*p - i + 6/11*p**2.
6*(p - 3)*(p + 1)/11
Let h(g) be the first derivative of -21*g**2 + 19/2*g**3 + 3/4*g**4 + 28 - 18*g. Let k(p) be the first derivative of h(p). Factor k(l).
3*(l + 7)*(3*l - 2)
Let s(a) be the third derivative of -a**8/1344 - a**7/420 + 9*a**6/160 - 13*a**5/60 + 7*a**4/24 - 47*a**2 - 8*a + 3. Find c such that s(c) = 0.
-7, 0, 1, 2
Let f be 2590/175*(12/(-8) - -4). Let s(l) be the first derivative of -8/7*l - 13/7*l**2 - 22/21*l**3 - 1/7*l**4 - f. Find u, given that s(u) = 0.
-4, -1, -1/2
Let p(q) be the first derivative of -5*q**3/12 + 385*q**2/8 + 195*q/2 - 2744. Let p(x) = 0. What is x?
-1, 78
Suppose 173101*c**3 - 86476*c**3 + 1632 - 86445*c**3 - 784*c + 208*c**4 + 4*c**5 - 1240*c**2 = 0. What is c?
-51, -2, 1, 2
Let k(d) be the second derivative of 0*d**2 - 31*d + 5/12*d**4 + 0 - 25/6*d**3. Factor k(i).
5*i*(i - 5)
Let u = 1518335 + -1518188. Suppose u - 14*k + 1/3*k**2 = 0. What is k?
21
Let x(u) be the first derivative of u**7/1050 + u**6/20 - 23*u**5/300 - 77*u**3 + 7. Let j(o) be the third derivative of x(o). Let j(z) = 0. What is z?
-23, 0, 1/2
Let b be (-2)/(-198)*-200 + 2. Let r = b + 1396/495. Determine y so that -14/5*y + 46/5*y**3 + 16/5*y**4 - 32/5*y**5 - r*y**2 - 2/5 = 0.
-1, -1/4, 1
Factor -485*w + 447 + 426 - 813 + 155*w**2.
5*(w - 3)*(31*w - 4)
Let z(m) = m**3 + 199*m**2 - 5*m - 195. Let y(l) = -l + 1. Let k(s) = -4*y(s) + z(s). Solve k(b) = 0 for b.
-199, -1, 1
Let j be ((114/(-14) - -5) + 4)*(-28)/(-8). Solve 0*u - 3/4*u**4 + 0 - 9/4*u**2 - 3/4*u**5 + 15/4*u**j = 0 for u.
-3, 0, 1
Suppose 0 = -53*o + 62*o - 45. Let n(k) be the second derivative of -2/33*k**3 + 1/165*k**6 - 11*k + 0*k**4 + 1/55*k**o - 1/11*k**2 + 0. Factor n(j).
2*(j - 1)*(j + 1)**3/11
Suppose -22*a = -18*a. Suppose a = -4*w + 52 + 20. Determine g so that -49*g**2 + 28*g**2 + 13*g - 18*g**3 + w - 3*g**4 + 5*g + 6 = 0.
-4, -2, -1, 1
Factor -3/7*q**3 + 30/7*q**2 - 12*q + 72/7.
-3*(q - 6)*(q - 2)**2/7
Let h(l) = 3*l**2 - 30*l + 48. Let d be h(2). Let b(w) be the third derivative of 1/15*w**4 - 17*w**2 - 1/50*w**5 + d + 0*w - 1/15*w**3. Factor b(k).
-2*(k - 1)*(3*k - 1)/5
Suppose -4*z - g = -2, 0 = -0*z - 3*z - g + 2. Suppose i = -0 + 5, z = -2*k - 3*i + 19. Factor 5*m**2 - 2*m - 5*m + k*m + 0*m.
5*m*(m - 1)
Let n = -2136 + 2146. Suppose -g + 55*u = 51*u - 22, 5*g + 4*u = -n. Determine k so that -1/3 + 5/6*k - 1/3*k**4 + 5/6*k**5 + 2/3*k**g - 5/3*k**3 = 0.
-1, 2/5, 1
Let m(p) = -3*p**5 - 10*p**4 + 16*p**2 - 5*p - 6. Let g(v) = -v**5 - v**4 - v**3 - 2*v + 1. Let y(o) = -6*g(o) + 3*m(o). Suppose y(l) = 0. Calculate l.
-8, -1, 1
Let y(d) be the third derivative of 11/6*d**3 - 4*d**2 + 0 - 1/1080*d**6 - 1/36*d**4 + 0*d - 1/120*d**5. Let g(r) be the first derivative of y(r). Factor g(z).
-(z + 1)*(z + 2)/3
Let h be (-4 + 0/3)*(-72 - -18 - -53). Find t, given that 68/9*t**3 + 4/3*t**h - 29/9*t**2 + 4/3 - 28/9*t = 0.
-6, -2/3, 1/2
Let q(g) be the second derivative of g**5/70 + 192*g**4/7 + 110975*g**3/7 + 661250*g**2/7 + 8*g + 46. Factor q(i).
2*(i + 2)*(i + 575)**2/7
Let i(b) be the first derivative of 2*b**4 + 30 - 12*b**2 - 20/3*b**3 + 4/5*b**5 + 0*b. Factor i(n).
4*n*(n - 2)*(n + 1)*(n + 3)
Let p(d) be the first derivative of d**4/8 - 217*d**3/6 - d**2/4 + 217*d/2 - 1375. What is r in p(r) = 0?
-1, 1, 217
Let v = 9202/11 - 137458/165. Determine s, given that -v*s + 338/15 + 2/15*s**2 = 0.
13
Suppose -321*a - 96 = -309*a. Let u be 12 - (a + 1030/55). What is x in 6/11*x - 6/11*x**4 - 6/11*x**2 + 4/11 - u*x**3 = 0?
-1, 2/3
Let y be (-6)/14 + (-12800)/(-13700). Let r = 9/137 + y. Let 2*d**2 - 8/7*d**5 + 12/7*d**3 + 0 - 2*d**4 - r*d = 0. What is d?
-2, -1, 0, 1/4, 1
Let x(z) = -z**2 + 7*z + 32. Let g be 51/(-34) - 15/10. Let v be x(g). Factor -3/2*c - 1/6*c**3 - c**v + 0.
-c*(c + 3)**2/6
Suppose 4*a - 2 = 4*l + 2, -5 = l - 3*a. Let k be (6*l/(-4))/(-6). Suppose 0*r + 1/2*r**2 + 0 - k*r**3 = 0. What is r?
0, 2
Let m(z) be the second derivative of -z**6/10 - 3*z**5/4 + z**4/2 + 12*z**3 - 6400*z. Factor m(q).
-3*q*(q - 2)*(q + 3)*(q + 4)
Let v(c) be the first derivative of -20*c**2 - 32*c - 1/2*c**4 - 16/3*c**3 - 43. Factor v(h).
-2*(h + 2)**2*(h + 4)
Let p be 41366/6364 - (-94)/20. Factor -4/5*j**2 - p - 36/5*j.
-4*(j + 2)*(j + 7)/5
Let u(q) be the first derivative of -q**6/33 + 128*q**5/55 - 1021*q**4/22 - 388*q**3/33 + 3200*q**2/11 - 4096*q/11 - 10323. Determine w, given that u(w) = 0.
-2, 1, 32
Suppose -15 - 3/5*p**4 + 24*p - 18/5*p**2 - 24/5*p**3 = 0. What is p?
-5, 1
Let o = 4075 + -4069. Let f(z) be the third derivative of 0 + 0*z**5 + 0*z - 1/160*z**o - 13*z**2 + 0*z**3 + 1/32*z**4. Factor f(a).
-3*a*(a - 1)*(a + 1)/4
Let i(o) be the first derivative of o**6/6 + 44*o**5/5 + 136*o**4 + 2944*o**3/3 + 3712*o**2 + 7168*o - 1044. Factor i(y).
(y + 4)**4*(y + 28)
Let g(t) be the third derivative of t**7/140 + t**6/120 - t**5/5 - t**4/2 + 43*t**3/6 + 101*t**2. Let k(x) be the first derivative of g(x). Factor k(n).
3*(n - 2)*(n + 2)*(2*n + 1)
Suppose 50 = -24*j - 70. Let f be j + (1944/(-42))/(-9). Suppose 0 + 2/7*z + f*z**2 - 1/7*z**3 = 0. What is z?
-