Factor w(n).
-2*(n + 6)*(5*n - 2)**2/7
Let j be (21/30)/(4/1850)*-4. Let p be (-111)/j*(-5)/(-3). Factor -9/7*q - 16/7*q**3 - p - 24/7*q**2.
-(q + 1)*(4*q + 1)**2/7
Suppose 2440 = 5*j - a, -2*j + 1092 = -3*a + 129. Let t = -487 + j. Suppose 8/5*r**t - 4/5 + 36/5*r**3 - 18/5*r - 18/5*r**5 - 4/5*r**4 = 0. Calculate r.
-1, -2/9, 1
Let q be 52252/(-672) + 48/128. Let b = q + 544/7. Factor t**2 - 1 + b*t - 1/3*t**3.
-(t - 3)*(t - 1)*(t + 1)/3
Let n(q) be the third derivative of 3*q**7/70 - 19*q**6/60 + 7*q**5/12 - q**4/4 + 110*q**2. What is d in n(d) = 0?
0, 2/9, 1, 3
Solve -60*r**3 - 5*r**4 - 268*r + 76*r**3 + 96 + r**3 + 56*r**2 + 20*r**3 = 0 for r.
-3, 2/5, 2, 8
Let s(a) be the third derivative of a**6/1440 - 11*a**5/480 + 5*a**4/48 + 45*a**3/2 + 112*a**2. Let u(y) be the first derivative of s(y). Factor u(b).
(b - 10)*(b - 1)/4
Suppose 35 = 4*n + 47. Let f be (n + -9)*5/(-30). Factor -2*u - 5/3*u**3 + 0 - 17/3*u**f.
-u*(u + 3)*(5*u + 2)/3
Determine b so that -27*b**2 - 1/3*b**3 - 104*b - 308/3 = 0.
-77, -2
Let a(m) = m**3 - 7*m**2 - 7*m - 3. Let k be a(8). Suppose 0 = f + k*f. Find h, given that 2*h - 5*h**2 - 3*h**2 + 3*h**2 + f*h**2 + 4*h**3 - h**4 = 0.
0, 1, 2
Let w(l) be the third derivative of -l**7/840 + l**6/48 - 19*l**4/24 - 2*l**3/3 + 20*l**2. Let n(o) be the second derivative of w(o). Let n(x) = 0. Calculate x.
0, 5
Factor -249/5*k + 57/5*k**2 - 3/5*k**3 + 39.
-3*(k - 13)*(k - 5)*(k - 1)/5
Let y(l) be the third derivative of l**5/60 - l**4/8 + 2*l**2 + 22. Let z be y(4). Solve 0*b - b**2 - 1/3*b**z - 1/3*b**5 + 0 + 5/3*b**3 = 0 for b.
-3, 0, 1
Let t(m) be the third derivative of -m**6/840 - 19*m**5/210 - 3*m**4/7 - 681*m**2 - 2. Factor t(r).
-r*(r + 2)*(r + 36)/7
Let u = -588879 + 588881. Suppose 32/9*c**u - 2/9*c**3 + 34/9*c + 0 = 0. Calculate c.
-1, 0, 17
Suppose 8*g - 9*g + 2 = -4*i, -2 = -g - 4*i. Let a = 1 - -3. Factor -60*p**2 - 68*p**2 + 120*p**g - 4*p + 28*p**3 - 16*p**a.
-4*p*(p - 1)**2*(4*p + 1)
Suppose -12*b + 109*b - 63 = 131. Let i(w) be the first derivative of -4/5*w**5 - w**4 - 1 + 11/3*w**3 + 3*w**b - 9*w. Determine j so that i(j) = 0.
-3/2, 1
Let z(k) be the second derivative of k**5/110 + 47*k**4/33 - k**3/33 - 94*k**2/11 - 3263*k. Let z(c) = 0. What is c?
-94, -1, 1
Suppose -3*y + 4*a + 35 = 0, -18 - 2 = y + 5*a. Let h(p) be the second derivative of 3/7*p**2 - y*p + 0 - 1/42*p**4 - 2/21*p**3. Factor h(n).
-2*(n - 1)*(n + 3)/7
Let f(v) be the first derivative of v**4/4 - 5*v**3/2 - 9*v**2 + 21*v - 11. Let s(j) be the first derivative of f(j). Suppose s(m) = 0. Calculate m.
-1, 6
Let c(b) be the first derivative of -2*b**3/15 + 47*b**2/5 - 84*b - 2163. Factor c(g).
-2*(g - 42)*(g - 5)/5
Let f(p) be the first derivative of 1/3*p**3 + 7*p**2 - 47 + 49*p. Factor f(v).
(v + 7)**2
Let w(y) be the second derivative of 7*y**5/20 + 103*y**4/12 + 34*y**3/3 - 14*y**2 + 4*y - 851. Factor w(s).
(s + 1)*(s + 14)*(7*s - 2)
Let x(k) be the first derivative of 12*k**3 - 124*k**2 - 320*k - 470. Factor x(o).
4*(o - 8)*(9*o + 10)
Let v(f) be the second derivative of 27*f**5/25 + 109*f**4/10 + 168*f**3/5 + 27*f**2/5 - 452*f + 2. Factor v(j).
6*(j + 3)**2*(18*j + 1)/5
Factor -34839355 - 715190*x - 623*x**2 + 167975*x - 1531*x**2 - 5*x**3 - 711*x**2.
-5*(x + 191)**3
Let p be ((-1848)/(-132) + 62/(-4))*4/(-24). What is k in 3*k + p*k**2 + 8 = 0?
-8, -4
Let q(n) be the first derivative of 5/2*n**2 + 9 - 8/3*n**3 + 14*n + 1/4*n**4. What is a in q(a) = 0?
-1, 2, 7
Find o such that -451*o + 466*o**3 - 640*o - 5*o**4 - 2066*o - 1745*o**2 - 353*o + 1294*o**3 = 0.
-1, 0, 2, 351
Let i(u) be the first derivative of 2/21*u**3 - 43 - 180/7*u**2 + 16200/7*u. What is l in i(l) = 0?
90
Let u = -24 + 53. Factor -20*k**3 + 23*k - u*k - 40*k - 59*k - 105*k**2 - 20.
-5*(k + 1)*(k + 4)*(4*k + 1)
Find c such that -2272/13*c + 8/13*c**4 + 1002/13*c**3 - 504/13 - 774/13*c**2 = 0.
-126, -1, -1/4, 2
Let f(u) be the first derivative of -2*u**3/9 - 5*u**2 + 1292*u/3 + 7705. Let f(c) = 0. Calculate c.
-34, 19
Let g(w) = 15*w**4 - 3 - 57*w**2 + 18*w + 299*w**3 - 9 - 275*w**3. Let k(x) = -1. Let t(y) = g(y) - 12*k(y). Factor t(j).
3*j*(j - 1)*(j + 3)*(5*j - 2)
What is z in 26050816/5 + 4/5*z**2 - 20416/5*z = 0?
2552
Let i(o) be the third derivative of -o**8/672 + 289*o**7/420 + 487*o**6/80 + 2639*o**5/120 + 257*o**4/6 + 49*o**3 - 259*o**2 - 14*o. What is n in i(n) = 0?
-2, -1, 294
Let p(c) be the second derivative of 0 + 40/3*c**3 + 16*c**2 + 7/5*c**5 - 254*c + 6*c**4 + 2/15*c**6. Factor p(y).
4*(y + 1)*(y + 2)**3
Let k(x) be the third derivative of -2*x**5/5 - 17*x**4/18 + 2*x**3/9 + 13*x**2 - 3*x. Factor k(c).
-4*(c + 1)*(18*c - 1)/3
Factor -1/3*b**5 - 71/3 - 142/3*b**3 + 73/3*b**4 - 2/3*b**2 + 143/3*b.
-(b - 71)*(b - 1)**3*(b + 1)/3
Let c be ((-441)/(-60)*69/(-483))/(2/(-16)). Find q such that 3/5*q**4 + 102/5*q + c*q**3 + 33/5 + 108/5*q**2 = 0.
-11, -1
Let r(w) = w**3 - 15*w**2 - w + 24. Let g = 41 - 26. Let y be r(g). Factor 24*t + 13*t**4 - 8*t - y*t**4 - 12*t**3.
4*t*(t - 2)**2*(t + 1)
Suppose -9*m = 3*l - 14*m - 16, -3*l = -m - 32. Factor -20*a**5 + l*a**5 - 45*a**3 - 16*a + 11*a**5 - 9*a**4 - 2*a - 51*a**2.
3*a*(a - 6)*(a + 1)**3
Let i(w) be the second derivative of -4 - 5/9*w**3 - w - 25/2*w**2 - 1/108*w**4. What is r in i(r) = 0?
-15
Let -12/7 + 1/7*p**3 - 8/7*p + 5/7*p**2 = 0. What is p?
-6, -1, 2
Let f(n) be the first derivative of 3/4*n**4 + 9/4*n**3 + 71 - 9/4*n - 15/4*n**2. Let f(y) = 0. Calculate y.
-3, -1/4, 1
Let n(l) be the first derivative of 5*l**4/4 - 50*l**3 + 135*l**2/2 + 290*l + 6138. Find y such that n(y) = 0.
-1, 2, 29
What is k in -2/7*k**3 - 88 - 164/7*k**2 - 778/7*k = 0?
-77, -4, -1
Let h = 6263/5 + -150311/120. Let f(b) be the third derivative of -1/120*b**5 + 0*b - 1/24*b**4 + h*b**6 + 0*b**3 + 26*b**2 + 0 + 1/420*b**7. Factor f(s).
s*(s - 1)*(s + 1)*(s + 2)/2
Factor 3/5*i**3 + 66531*i - 2004/5*i**2 + 134670.
3*(i - 335)**2*(i + 2)/5
Let f(q) be the second derivative of q**4/30 + 13*q**3/15 - 48*q**2/5 - 3*q - 55. Factor f(c).
2*(c - 3)*(c + 16)/5
Let n(y) be the second derivative of -y**7/7 - 16*y**6/15 - 2*y**5 + 5*y**4/3 + 23*y**3/3 + 6*y**2 + 7*y + 48. What is z in n(z) = 0?
-3, -2, -1, -1/3, 1
Let r(w) be the third derivative of 1/20*w**5 + 0 - 7/8*w**4 - w**2 - 62*w - 4*w**3. Find d such that r(d) = 0.
-1, 8
Find b such that 3/2*b**3 - 18 - 51/2*b - 13/2*b**2 + 1/2*b**4 = 0.
-3, -1, 4
Let o(b) be the second derivative of 26*b**6/135 + 29*b**5/90 - 49*b**4/54 - 2*b**3/9 + 74*b - 8. Let o(d) = 0. Calculate d.
-2, -3/26, 0, 1
Let m = 45 - 35. Determine n, given that 11*n**3 + 5*n**4 - 3*n**5 + 11*n**3 + m*n**4 + 21*n**2 + 17*n**3 = 0.
-1, 0, 7
Factor -58/3*u**3 + 200/3*u - 260/3*u**2 - u**4 + 0.
-u*(u + 10)**2*(3*u - 2)/3
Let s = -5407/2 - -16237/6. Determine a, given that 2*a**2 - s + 1/3*a**4 - 5/3*a**3 + 4/3*a = 0.
-1, 2
Let i = -143994 - -432007/3. Solve -1/3*y**3 - 5*y + i - 3*y**2 = 0.
-5, 1
Let i(m) be the third derivative of -m**6/180 + m**5/45 + 23*m**4/4 - 144*m**3 + m**2 + 843*m. Solve i(t) = 0 for t.
-16, 9
Suppose 0 = 4*z + 3*o + 17, -13 = -3*z - 2*o - 25. Let r be (-21 + 14)*z/35. Find d, given that 0 + r*d + 12/5*d**4 + 3/5*d**2 - 17/5*d**3 = 0.
-1/4, 0, 2/3, 1
Let q(m) = 134*m + 1478. Let d be q(-11). Let h(o) be the first derivative of 0*o**2 + 8/27*o**3 + 2/15*o**5 - 5 - 4/9*o**d + 0*o. Factor h(p).
2*p**2*(p - 2)*(3*p - 2)/9
Let r = -230 - -6694/29. Let q = 54/145 + r. Find l, given that -2/15 - q*l**2 + 4/5*l + 8/15*l**3 = 0.
1/4, 1
Let r(n) = -22*n**3 + 5 - 3 - 2*n**2 + 14*n**3 + 6*n. Let k(z) = z**4 + 41*z**3 + 10*z**2 - 30*z - 11. Let y(o) = 2*k(o) + 11*r(o). Factor y(d).
2*d*(d - 3)*(d - 1)*(d + 1)
Suppose 24 - 30 = -5*p + 2*n, -4*p + 2*n + 4 = 0. Suppose -4 - 122*w**4 + 24*w**3 + 3*w**5 + 12*w**p + 4 + 137*w**4 = 0. What is w?
-2, -1, 0
Let r(o) = 3*o**3 + 2*o - 1. Let t(v) = -425*v**3 + 1465*v**2 + 1950*v - 60. Let q(u) = 20*r(u) - t(u). Solve q(a) = 0.
-1, 2/97, 4
Let i(x) be the third derivative of -x**6/320 - x**5/40 + 2*x**4 + 48*x**3 + x**2 + 768*x. Find m, given that i(m) = 0.
-8, 12
Let z be -2 + 2 + (-152)/19. Let x(m) = -17*m**3 + 25*m**2 - 23*m - 1. Let l(b) = 6*b**3 - 8*b**2 + 8*b. Let v(k) = z*l(k) - 3*x(k). Factor v(p).
(p - 3)*(p - 1)*(3*p + 1)
Let c(o) be the third derivative of -1/462*o*