e of -y**6/24 - y**5/3 + 5*y**4/24 + 10*y**3/3 + 24*y**2 - 9*y - 1. Let q(f) be the first derivative of v(f). Factor q(w).
-5*(w - 1)*(w + 1)*(w + 4)
Let x(h) be the third derivative of -1/140*h**5 + 0 - 10*h**2 + 0*h + 3/14*h**3 + 1/28*h**4. Factor x(t).
-3*(t - 3)*(t + 1)/7
Let u(h) be the first derivative of -5*h**3/3 - 55*h**2/2 + 60*h + 51. Solve u(m) = 0 for m.
-12, 1
Let p(g) be the first derivative of -2*g**3/5 - 12*g**2 - 114*g/5 + 268. Factor p(s).
-6*(s + 1)*(s + 19)/5
Let w(d) = -8*d**3 - 10*d**2 - 3*d + 1. Let j be w(-1). Find x, given that 5/2*x**j + 20*x + 40 = 0.
-4
Let w(z) be the first derivative of z**3/18 + z**2/12 - 39. Factor w(i).
i*(i + 1)/6
Suppose 0 = -3*c + 2*i + 4 - 8, 4*i - 20 = 0. Let p(g) be the first derivative of 8/3*g - 16/3*g**2 - c*g**3 - 2. Factor p(h).
-2*(h + 2)*(9*h - 2)/3
Determine g so that 22/5*g**2 - 48/5*g - 2/5*g**3 + 0 = 0.
0, 3, 8
Let v(a) be the third derivative of -a**5/72 + 17*a**4/144 + a**3/3 + 141*a**2. Factor v(c).
-(c - 4)*(5*c + 3)/6
Suppose -720 = -301*c - 118. Factor 2/7*x**c - 20/7*x + 50/7.
2*(x - 5)**2/7
Let a(w) = -153*w + 1683. Let l be a(11). Factor 1/3*r**3 + 0 - 1/3*r + l*r**2.
r*(r - 1)*(r + 1)/3
Let t(r) be the second derivative of r**6/24 - 5*r**5/6 + 125*r**4/24 - 27*r**2 + 49*r. Let h(k) be the first derivative of t(k). Determine a so that h(a) = 0.
0, 5
Suppose 2*o - 12 = 3*b + 15, -2*b - 28 = -3*o. Let n be (10/o)/(5/6). Let n*i**4 + 6*i**3 - 31*i + 4*i**2 + 31*i = 0. Calculate i.
-2, -1, 0
Let l(q) = q**2 + 92*q + 316. Let a(n) = -5*n**2 - 365*n - 1265. Let y(j) = -4*a(j) - 15*l(j). Factor y(s).
5*(s + 8)**2
Let d(z) be the second derivative of -5*z - 7 - 3/8*z**4 + 3/2*z**2 + 5/4*z**3. Suppose d(p) = 0. Calculate p.
-1/3, 2
Factor 163*r**3 + 57*r**2 + 23*r**2 - 75*r - 168*r**3.
-5*r*(r - 15)*(r - 1)
Let s(k) be the third derivative of k**6/420 + 17*k**5/35 + 289*k**4/7 + 39304*k**3/21 + 187*k**2. Factor s(n).
2*(n + 34)**3/7
Suppose -i + 1365 - i**2 - 1365 = 0. What is i?
-1, 0
Let b be 123 + (-2 - 3) + 4. Let g = b - 118. Factor -2/5*i**g - 4/5*i**2 + 0*i + 6/5*i**3 + 0.
-2*i**2*(i - 2)*(i - 1)/5
Let l = 45487/11 - 4135. What is x in 4/11*x**2 - 2/11*x - l = 0?
-1/2, 1
Let l(t) be the third derivative of -t**8/504 - 8*t**7/315 - 4*t**6/45 + 48*t**2. Solve l(h) = 0.
-4, 0
Let x(i) = -i + 7*i**2 + 2*i - 8*i**2. Let n(o) = -10*o**2 - 22*o - 4. Let w(p) = -n(p) - 4*x(p). Factor w(f).
2*(f + 1)*(7*f + 2)
Let z = -4359 + 4362. Factor -3/2*k**2 - 9/2 - 3/2*k**z + 15/2*k.
-3*(k - 1)**2*(k + 3)/2
Let o(h) = -2*h**4 + 8*h**3 - 6. Let w(t) = -t**4 + t**3 - 2. Let u(i) = o(i) - 3*w(i). Factor u(a).
a**3*(a + 5)
Let p(t) = 29*t**2 - 4*t + 22. Let j be p(4). Let i be -4 + j/75 + -2. Solve 2/15 + i*f + 2/15*f**2 = 0.
-1
Find w such that -69/4*w + 0 + 1/8*w**2 = 0.
0, 138
Let t be 6/15 + ((-549)/135 - -4). Factor t*j**4 + 0 + 2/3*j**3 + 0*j + 1/3*j**2.
j**2*(j + 1)**2/3
Let s be (-6)/16 + 0 - 838/(-16). Let w(a) = 8*a**2 - 62*a - 26. Let r(j) = 5*j**2 - 7*j + 0*j**2 - 4*j**2 - 3. Let u(l) = s*r(l) - 6*w(l). Solve u(p) = 0.
-2, 0
Factor 10/7*v**2 - 2/7*v**3 - 12/7*v + 0.
-2*v*(v - 3)*(v - 2)/7
Let m(s) be the second derivative of s**6/105 - 24*s**5/35 + 128*s**4/7 - 4096*s**3/21 + 35*s. Factor m(q).
2*q*(q - 16)**3/7
Let x(h) = 2*h**2 - 98*h + 170. Let j(d) = 2*d**2 - 95*d + 167. Let t(m) = -6*j(m) + 5*x(m). Factor t(y).
-2*(y - 38)*(y - 2)
Let u be (94/(-188))/((-115)/108 + 1). Factor -72/7*o**2 + 16/7*o - u*o**4 + 0 + 108/7*o**3.
-2*o*(3*o - 2)**3/7
Let x be (-231)/(-14)*(-1 + 5/3). Suppose 0 = 5*d + 15, 0 = -2*s - d + 4*d + 13. Find y such that -x*y + 15*y + 11*y**3 + 10*y**2 - 3*y**3 + s*y**4 = 0.
-2, -1, 0
Let p be (-16)/(-12)*9/4. Let z be 4/((-8)/6) - -5. Find t, given that -z + 2 + 4*t**2 - 3*t**3 + 5*t**p = 0.
-2, 0
Let r(z) be the third derivative of -z**6/24 + z**5/6 + 5*z**4/24 - 5*z**3/3 - 184*z**2. Factor r(n).
-5*(n - 2)*(n - 1)*(n + 1)
Let m be 0/((-126)/(-105) - 2/10). Factor m*u + 0 + 2/3*u**2.
2*u**2/3
Let x = 1667 - 1667. Let n(i) be the first derivative of 0*i + 3*i**5 - 9*i**3 - 1/2*i**6 - 9/4*i**4 - 8 + x*i**2. Let n(y) = 0. Calculate y.
-1, 0, 3
Let t(m) be the second derivative of m**9/3024 + m**8/1680 - m**7/420 - 3*m**3 + 25*m. Let i(y) be the second derivative of t(y). Let i(p) = 0. Calculate p.
-2, 0, 1
Factor -22568*g + 20248 + 5*g**3 - 8*g**3 - 514*g**2 - 652*g + 28352 - 20*g**2.
-3*(g - 2)*(g + 90)**2
Let p be (2 + (-3 - -4))*1. Let l(r) be the second derivative of 0 - 1/6*r**4 + 2*r + 0*r**p + 0*r**2. Factor l(t).
-2*t**2
Let b(o) be the second derivative of -o**7/140 - o**6/80 + 4*o**2 + 10*o. Let s(l) be the first derivative of b(l). Factor s(d).
-3*d**3*(d + 1)/2
Let k(q) be the first derivative of -q**8/840 + q**7/84 - 7*q**6/180 + q**5/20 - 13*q**3/3 + 2. Let d(h) be the third derivative of k(h). Factor d(m).
-2*m*(m - 3)*(m - 1)**2
Let r(l) be the third derivative of 7*l**5/135 + 8*l**4 - 248*l**3/27 + 62*l**2 - 4*l. Factor r(f).
4*(f + 62)*(7*f - 2)/9
Let y be 9/261 + 410/725. Let 1/5*n**2 - 4/5 + y*n = 0. What is n?
-4, 1
Let h(v) = 15*v**2 + 1 + 21*v**2 - 35*v**2 + v**3. Let w(l) = 10*l**2 + 8*l**3 + 8 + 0*l + 2*l + l. Let a(d) = 14*h(d) - 2*w(d). Factor a(c).
-2*(c + 1)**3
Let b(w) be the third derivative of -w**6/40 + 7*w**5/5 + 433*w**2. Factor b(s).
-3*s**2*(s - 28)
Factor -7*h - 473*h**3 - 82*h**2 + 155*h + 481*h**3 - 32.
2*(h - 8)*(h - 2)*(4*h - 1)
Let 24/7*k - 2/7*k**2 - 72/7 = 0. Calculate k.
6
Let s(j) be the second derivative of -23/160*j**5 + 0 - 7/60*j**6 - 22*j + 0*j**2 - 1/48*j**3 - 1/12*j**4 - 1/28*j**7. Let s(k) = 0. What is k?
-1, -1/2, -1/3, 0
Let t(q) be the third derivative of -q**8/13440 - q**7/1680 + q**5/6 - 8*q**2. Let i(b) be the third derivative of t(b). Solve i(m) = 0 for m.
-2, 0
Factor 14*r**2 - 192 - 8*r**2 - 2*r**2 + 48*r - 7*r**2.
-3*(r - 8)**2
Let v(z) be the second derivative of 3*z**5/20 - 11*z**4 - 47*z**3/2 + 135*z**2 + 461*z. Factor v(y).
3*(y - 45)*(y - 1)*(y + 2)
Let s(b) be the first derivative of 7*b**4/15 + b**3/10 - b**2/10 - 21*b - 19. Let a(q) be the first derivative of s(q). Let a(h) = 0. Calculate h.
-1/4, 1/7
Let v(n) = 3*n**3 + 6*n + 17. Let h(b) = 2*b**3 + 3*b + 9. Let z(o) = 5*h(o) - 3*v(o). Let w(u) be the first derivative of z(u). Suppose w(r) = 0. Calculate r.
-1, 1
Suppose 0 = -5*i - 5*w - 5, -i - 2*i + 3 = -3*w. Let f(s) be the second derivative of i + 1/18*s**4 - 1/9*s**3 + 0*s**2 + 6*s. Let f(t) = 0. Calculate t.
0, 1
Solve -1/4*f**3 + 0 + 1/4*f**4 - 3/2*f**2 + 0*f = 0.
-2, 0, 3
Let f = -714 + 714. Let f - 2/7*g**2 + 0*g - 3/7*g**3 = 0. What is g?
-2/3, 0
Let m = 2 + 2. Let s(w) = -3*w**3 - w - 8*w**2 + m*w - 2*w**2 + 5*w**2. Let l(t) = -4*t**3 - 6*t**2 + 4*t. Let z(d) = -5*l(d) + 6*s(d). Factor z(u).
2*u*(u - 1)*(u + 1)
Factor 14/11*u**2 - 2/11*u**3 - 32/11*u + 24/11.
-2*(u - 3)*(u - 2)**2/11
Suppose -8*k + 13*k - 105 = 0. Suppose -k*i = -26*i. Factor 2/9*v**3 - 8/9*v**2 + 8/9*v + i.
2*v*(v - 2)**2/9
Suppose -7*k**3 - 28*k**4 - 28*k**2 - 49*k**3 - 16*k**2 + 12*k**2 - 4*k**5 = 0. Calculate k.
-4, -2, -1, 0
Let y(w) be the first derivative of -w**3/3 - 5*w**2/2 - 29. Factor y(q).
-q*(q + 5)
Let s be (1 - -1) + (-13 - -37). Factor 32 + 11*x - 29*x + 2*x**2 + s*x + 8*x.
2*(x + 4)**2
Let m = 86 - 61. Let r = m - 5. Factor -l**3 - 15 + 0*l**4 - 12*l**2 + 4*l**4 + r*l - 3*l**3 + 7.
4*(l - 1)**3*(l + 2)
Let s = 57 + -55. Let y**3 - 2*y**2 + 5*y**2 - y**s = 0. Calculate y.
-2, 0
Let g = 1362 + -9530/7. Solve -2*r**3 - g - 6/7*r + 24/7*r**2 = 0.
-2/7, 1
Let d(s) be the third derivative of -1/60*s**6 + 1/15*s**5 - 2/3*s**3 + 12*s**2 + 0*s + 1/12*s**4 + 0. Suppose d(u) = 0. Calculate u.
-1, 1, 2
Factor 0 - 2/7*w**4 - 12/7*w**3 + 12/7*w + 2/7*w**2.
-2*w*(w - 1)*(w + 1)*(w + 6)/7
Determine s, given that 200*s**2 - 125*s - 120*s - s**4 + 180 - 91*s + 5*s**4 - 48*s**3 = 0.
1, 3, 5
Let b(p) be the third derivative of -p**5/5 - 57*p**4/8 - 7*p**3 - 273*p**2. Factor b(v).
-3*(v + 14)*(4*v + 1)
Suppose 2*b + 34 = 3*w, 3*b = -10*w + 5*w + 25. Suppose 2*j = -w*j + 20. Determine x, given that -4*x**j - 4/7*x**3 + 12/7*x**5 - 8/7*x + 0 + 4*x**4 = 0.
-2, -1, -1/3, 0, 1
Let n(y) be the first derivative of 1/4*y + 1/12*y**3 + 3 + 1/4*y**2. Factor n(p).
(p + 1)**2/4
Let p(t) be the third derivative of -t**6