 + w**3/27 + 2*w**2/9 - 29*w. Factor c(s).
-2*(s - 1)*(s + 1)*(s + 2)/9
Let h be (1 - (-12)/(-10)) + (-2712)/(-60). Factor -h*p + 27*p**2 - 3*p**3 + 9*p**2 + 77*p + 7*p**3.
4*p*(p + 1)*(p + 8)
Let z(g) be the third derivative of -1/320*g**6 + 0*g + 0*g**5 + 0*g**3 + 0*g**4 + 2*g**2 + 0. Determine b, given that z(b) = 0.
0
Let i be ((-4)/12)/((-6)/18). Let w(h) = h - 1. Let c(b) = 4*b**4 - 40*b**3 + 148*b**2 - 224*b + 128. Let f(l) = i*c(l) - 16*w(l). Factor f(x).
4*(x - 3)**2*(x - 2)**2
Let o(i) = 15*i - 57. Let u be o(4). Let v(q) be the first derivative of -7 + 4*q**4 - 2*q**5 - 2*q**2 - 2/3*q**u + 0*q. Let v(m) = 0. Calculate m.
-2/5, 0, 1
Let p(m) be the third derivative of m**6/480 - 7*m**4/96 - m**3/4 + 4*m**2 + 4. Factor p(h).
(h - 3)*(h + 1)*(h + 2)/4
Let m(s) be the third derivative of -s**6/720 + s**5/240 - 5*s**3/3 + 7*s**2. Let i(y) be the first derivative of m(y). Find r, given that i(r) = 0.
0, 1
Let z(j) be the second derivative of -j**8/11200 - j**7/4200 + j**6/1200 + j**5/200 - j**4/6 + 9*j. Let d(g) be the third derivative of z(g). Factor d(l).
-3*(l - 1)*(l + 1)**2/5
Let x(f) be the first derivative of -f**4/16 + f**3/4 - f - 36. Factor x(m).
-(m - 2)**2*(m + 1)/4
Suppose 10*w = 9*w + 48. Let q be 13/5 - w/80. Factor 0*h - 3/5*h**q + 3/5*h**3 + 0.
3*h**2*(h - 1)/5
Let x(n) be the second derivative of n**8/13440 + n**7/1260 + n**6/360 - 3*n**4 - 33*n. Let v(t) be the third derivative of x(t). Suppose v(m) = 0. What is m?
-2, 0
Let k(w) = -3*w**2 - 6*w - 39. Let b(v) = -11*v**2 - 20*v - 119. Let c(a) = 6*b(a) - 21*k(a). Factor c(z).
-3*(z - 7)*(z + 5)
Suppose -52*o + 50*o = -518. Let b be o/(-665) - 9/(-15). Solve -18/19*j**3 - 4/19 + b*j**2 + 18/19*j = 0 for j.
-1, 2/9, 1
Suppose 19 = -5*m - 1. Let c be m/2 - (3/9 + -3). What is h in 10/9*h**2 + c*h - 4/9 = 0?
-1, 2/5
Let w(o) = 16*o + 4. Suppose 5*u - 16 = -2*s, 4*s = -4*u + s + 10. Let a(g) = -g**2 - 32*g - 7. Suppose -2*n + 12 = -2. Let d(m) = n*w(m) + u*a(m). Factor d(i).
-4*i*(i + 4)
Let j = -5740 + 51662/9. Factor 2 + 8/3*u + j*u**4 - 8/9*u**3 - 4/9*u**2.
2*(u - 3)**2*(u + 1)**2/9
Let b(r) be the first derivative of 10 + 2/55*r**5 + 2/11*r**2 + 10/33*r**3 + 2/11*r**4 + 0*r. Factor b(q).
2*q*(q + 1)**2*(q + 2)/11
Let r(f) be the first derivative of 5*f**4/36 - 808*f**3/27 + 3609*f**2/2 + 1458*f - 193. Factor r(w).
(w - 81)**2*(5*w + 2)/9
Factor 367*n**4 - 179*n**4 - 10*n**3 - 21*n**2 - 90*n - 183*n**4 - 84*n**2.
5*n*(n - 6)*(n + 1)*(n + 3)
Let x = -26 + 80/3. Let j = 176/3 + -57. Factor -1/3*s**2 - s**3 + j*s**4 - x*s**5 + 1/3*s + 0.
-s*(s - 1)**3*(2*s + 1)/3
Let m(c) be the third derivative of -7*c**5/120 + c**4/32 + c**3/12 + 25*c**2. Factor m(x).
-(2*x - 1)*(7*x + 2)/4
Suppose 4*z - 4*r - 86 = -82, -z + 5 = r. Let f(l) be the third derivative of 0 + 1/15*l**3 + 1/120*l**4 + z*l**2 - 1/150*l**5 - 1/600*l**6 + 0*l. Factor f(p).
-(p - 1)*(p + 1)*(p + 2)/5
Let n(d) be the third derivative of -3*d**8/112 + 13*d**7/70 + 41*d**6/120 - 17*d**5/20 - d**4 + 10*d**3/3 - 298*d**2. Suppose n(k) = 0. Calculate k.
-1, 2/3, 5
Factor -5/4*l**2 + 1/4*l**3 + 0 + 3/2*l.
l*(l - 3)*(l - 2)/4
Let f(x) be the second derivative of -x**7/126 + 4*x**6/5 - 1727*x**5/60 + 382*x**4 + 96*x**3 - 2304*x**2 - 20*x + 2. Factor f(i).
-(i - 24)**3*(i - 1)*(i + 1)/3
Let j(y) be the first derivative of y**4 + 0*y**2 - 4/3*y**3 + 32 - 1/5*y**5 + 0*y. Factor j(d).
-d**2*(d - 2)**2
Let x(k) = 4*k**3 - 7*k**2 - 5*k - 5. Let t(g) = 12*g**3 - 20*g**2 - 16*g - 16. Let u = -41 + 36. Let v(z) = u*t(z) + 16*x(z). Solve v(r) = 0.
0, 3
Let a(x) be the second derivative of -5*x**4/36 + 115*x**3/9 - 2645*x**2/6 + 115*x. Solve a(r) = 0 for r.
23
Let s(r) be the third derivative of -r**7/105 + r**6/30 + 9*r**5/10 + 13*r**4/3 + 28*r**3/3 - 373*r**2. Factor s(x).
-2*(x - 7)*(x + 1)*(x + 2)**2
Let d = -6 - -4. Let k be (6 + -1)*d/(-5). Find s, given that 2*s**2 + 3 - 3*s**2 + 4*s**k + 6*s = 0.
-1
Let m be 1/2*(260/(-39) + 10). Factor 5/6*r**4 + m*r**2 + 0 + 5/2*r**3 + 0*r.
5*r**2*(r + 1)*(r + 2)/6
Let o(u) be the third derivative of 11/630*u**7 + 5/72*u**4 + 0 - 1/360*u**6 + 1/9*u**3 - 22*u**2 - 1/252*u**8 + 0*u - 13/180*u**5. Find j, given that o(j) = 0.
-1, -1/4, 1, 2
Factor -16*z**3 + z - 602 + 598 - 36*z**2 - 25*z.
-4*(z + 1)**2*(4*z + 1)
Let g be 0 - 6 - 11/(-1). Let f(h) be the first derivative of 2/5*h**g + h**4 + 2*h - 5 - 1/3*h**6 - 4/3*h**3 - h**2. Suppose f(r) = 0. Calculate r.
-1, 1
Suppose -124*s - 154*s = -834. Suppose 4/9*v + 2/9*v**2 - 50/9*v**s + 0 + 8/3*v**4 = 0. What is v?
-1/4, 0, 1/3, 2
Let m(y) = -8*y**2 + 8*y + 4. Let a(w) = 8*w**2 - 7*w - 4. Let b be 7 - (-4 + -1 + 9). Let q(o) = b*m(o) + 4*a(o). Suppose q(s) = 0. Calculate s.
-1/2, 1
Let f(i) = 15*i**2 + 95*i - 110. Suppose 5 = 5*m - 5*a, -4 + 10 = 3*a. Let q(y) = 8*y**2 + 47*y - 55. Let w(r) = m*f(r) - 5*q(r). Find o, given that w(o) = 0.
-11, 1
Let n(o) be the second derivative of -o**5/10 - 5*o**4/12 - o**3/6 + o**2 + 58*o. Determine k so that n(k) = 0.
-2, -1, 1/2
Let z(f) = f**3 - 9*f**2 + 9*f - 4. Let t = -4 + 12. Let l be z(t). What is m in -12*m**3 + m**4 + 8*m**2 + m**l - 2*m**4 + 4*m**4 = 0?
0, 1, 2
Let m(u) be the second derivative of -5*u**4/4 - 175*u**3/6 + 30*u**2 + 105*u. Determine x, given that m(x) = 0.
-12, 1/3
Suppose 5*l = 25, -14*k - 5 = -19*k - l. Let g = -734/7 - -105. Factor 1/7 - g*c**4 + 2/7*c - 2/7*c**3 + k*c**2.
-(c - 1)*(c + 1)**3/7
Let g be -5 - (417 + -5)*11/(-308). What is q in 2/7*q**2 + g*q + 578/7 = 0?
-17
Let y be 130/(-52)*16/(-75). Let d(h) be the first derivative of 4/15*h**2 + y*h + 2/45*h**3 + 7. Determine n, given that d(n) = 0.
-2
Let b = -38965/7 + 5575. Factor 0 + 24/7*j - 27/7*j**4 + 18/7*j**3 + b*j**2.
-3*j*(j - 2)*(3*j + 2)**2/7
Let r(l) be the first derivative of l**4 - 2*l**3 + 5*l**2/2 + 5*l + 3. Let a(w) = w**3 - w**2 + w + 1. Let u(s) = 5*a(s) - r(s). Factor u(y).
y**2*(y + 1)
Let m(r) = r**3 - r + 1. Let u(z) = 15*z**3 - 5*z**2 - 35*z - 5. Let k(l) = l - 24. Let o be k(14). Let s(y) = o*m(y) + u(y). Find a, given that s(a) = 0.
-1, 3
Let b(t) be the first derivative of 12*t**5/5 - 9*t**4/4 - t**3 + 47. Let b(g) = 0. What is g?
-1/4, 0, 1
Let f(s) be the second derivative of -s**4/16 - 15*s**3/8 + 6*s**2 - 3*s + 21. Factor f(t).
-3*(t - 1)*(t + 16)/4
Suppose -43*d = 120 - 1066. Let f(z) be the first derivative of 1 - 8*z - 12*z**3 + 32/5*z**5 + 14*z**4 - d*z**2. Find j such that f(j) = 0.
-2, -1/2, -1/4, 1
Let x(h) be the first derivative of h**6/6 - 4*h**5/5 + 5*h**4/4 - 2*h**3/3 + 72. Factor x(a).
a**2*(a - 2)*(a - 1)**2
Let p be -6*(-8)/6 - (-72)/(-9). Find u, given that -10/7*u**3 - 4/7*u**2 + 32/7*u**4 + p*u - 18/7*u**5 + 0 = 0.
-2/9, 0, 1
Let b = 32 + -25. Let f(m) be the first derivative of -m**4 + 0*m + 0*m**3 + 4/5*m**5 + 0*m**2 - b. Find p such that f(p) = 0.
0, 1
Suppose -15*c - 88 = -19*c. Let v be 182/572 + 4/c. Determine f, given that -1/6*f**5 + 1/6*f**2 + 0 + 1/2*f**4 + 0*f - v*f**3 = 0.
0, 1
Let i(a) be the third derivative of 0*a + 19/240*a**6 - 5/24*a**5 + 0 - 1/3*a**3 + 11*a**2 - 1/60*a**7 + 1/672*a**8 + 1/3*a**4. Solve i(d) = 0.
1, 2
Let j(l) = 11*l + 9 - 4*l + 0*l + 4*l**3 - 5*l**2. Let w(a) = 2*a**3 - 3*a**2 + 3*a + 4. Let k be (5/10)/((-2)/(-20)). Let c(h) = k*w(h) - 2*j(h). Factor c(m).
(m - 2)*(m - 1)*(2*m + 1)
Let i(g) be the third derivative of -2*g**6/135 - 79*g**5/270 - 95*g**4/54 + 25*g**3/27 + 45*g**2. Factor i(c).
-2*(c + 5)**2*(8*c - 1)/9
Let v(l) be the second derivative of 5/2*l**2 - 25/9*l**3 + 35/36*l**4 + 17*l + 0. Factor v(s).
5*(s - 1)*(7*s - 3)/3
Let g = -19 + 18. Let f(j) = j**4 + j**3 - j**2 - j - 1. Let y(m) = -3*m**4 - 3*m**3 + m**2 + 3*m + 6. Let h(k) = g*y(k) - 4*f(k). Let h(t) = 0. What is t?
-2, -1, 1
Let s(y) be the third derivative of 0 - 8*y**2 + 0*y - 1/360*y**5 - 1/12*y**3 + 1/36*y**4. Solve s(n) = 0.
1, 3
Let o(h) = -h**4 + 47*h**3 + 171*h**2 + 179*h + 62. Let u(z) = 45*z**3 + 171*z**2 + 180*z + 63. Let x(y) = 3*o(y) - 2*u(y). Suppose x(b) = 0. What is b?
-1, 20
Let b(x) be the second derivative of x**6/15 + 6*x**5/5 + 7*x**4/2 + 10*x**3/3 + 184*x. Factor b(v).
2*v*(v + 1)**2*(v + 10)
Let g = 493/3320 - -1/664. Let w(u) be the second derivative of g*u**5 - 4*u + 0*u**2 + 2*u**3 - u**4 + 0. Find c such that w(c) = 0.
0, 2
Suppose -3*s + 9 