of 0*f + z*f**2 - 1/9*f**3 + 1/24*f**4 - 5. Factor i(k).
k*(k - 1)**2/6
Let y(m) be the first derivative of -m**4/4 + 2*m**3 + 15*m**2/2 + 13*m + 13. Let t be y(8). Factor 1/2*z**t - 5/2*z - 1 + 2*z**4 - z**2 + 2*z**3.
(z - 1)*(z + 1)**3*(z + 2)/2
Let k(y) be the third derivative of -y**6/60 + 35*y**5/18 + 353*y**4/108 + 59*y**3/27 + 2*y**2 + 223. Determine n so that k(n) = 0.
-1/3, 59
Let q = 53 - 53. Factor 2*m**3 - 5*m**4 + 4*m**4 + m**2 + q*m**3 - 4*m**3 + 2*m.
-m*(m - 1)*(m + 1)*(m + 2)
Let n(x) = -x**3 - 4*x**2 - 5*x - 2. Suppose -24 = 3*q - 3*d, 3*q - 2*d = -q - 22. Let p be n(q). Factor 0*j**p + 5*j**4 + 4*j**4 - 6*j**4 + 9*j**5.
3*j**4*(3*j + 1)
Let n(r) be the third derivative of 2*r**7/105 + r**6/12 - 7*r**5/10 + 19*r**4/12 - 5*r**3/3 + r**2 + 29. Factor n(k).
2*(k - 1)**2*(k + 5)*(2*k - 1)
Let q(a) be the second derivative of 1/45*a**3 + 0 + 12*a - 1/5*a**2 - 1/150*a**5 + 1/30*a**4. What is m in q(m) = 0?
-1, 1, 3
Let q(k) be the second derivative of -k**5/120 - 11*k**4/72 - 35*k**3/36 - 25*k**2/12 - 8*k. Factor q(c).
-(c + 1)*(c + 5)**2/6
Let w(m) = 3*m**3 - 167*m**2 - 4369*m - 39376. Let i(y) = -y**3 + y**2 - y + 2. Let a(z) = -5*i(z) - w(z). Factor a(n).
2*(n + 27)**3
Let h(w) be the first derivative of w**3/15 + w**2/2 - 6*w/5 + 34. Factor h(o).
(o - 1)*(o + 6)/5
Let m(c) = -c**2 - 9*c - 12. Let a be m(-6). Let d be -5*(0 + 1)/((-10)/a). Factor -2/7*s**d + 0*s + 0 + 0*s**2.
-2*s**3/7
Let t(b) = -128*b - 3838. Let q be t(-30). Factor -12/7 + 9/7*i + 3/7*i**q.
3*(i - 1)*(i + 4)/7
Suppose -4 = -2*b + 5*c, 2*b = -3*c - 2*c + 4. Let s = -594 - -597. Factor -1/4*l**s + l + 2 - 1/2*l**b.
-(l - 2)*(l + 2)**2/4
Suppose -4 + 9 = -g. Let h(s) = -s**2 - 5*s + 4. Let z be h(g). Factor y - 4*y**3 - y - y**z + 2*y**3.
-y**3*(y + 2)
Let q be (-117)/(-27) - (-1)/(-3). Suppose 6 = q*c - 134. Let -o**4 - 8*o**4 - 12*o**2 - 3*o**4 + c*o**3 - 12*o**2 + 4*o = 0. Calculate o.
0, 1/4, 2/3, 2
Let q(h) be the third derivative of -h**6/180 + 2*h**5/75 + h**4/15 - 5*h**3/6 - 12*h**2. Let a(y) be the first derivative of q(y). Factor a(u).
-2*(u - 2)*(5*u + 2)/5
Let y be 3 + (4 + -5 - -1). Suppose 8 = -l - y*v, 6 = 3*l - 2*v - 14. Factor -8*c**2 + 4 + 2*c**3 - l + 12*c**2.
2*c**2*(c + 2)
Let s(d) be the first derivative of 7*d**6/1620 + d**5/270 + d**3/3 + 17. Let b(r) be the third derivative of s(r). Factor b(i).
2*i*(7*i + 2)/9
Factor -1/3*r**3 - 2/3*r - 5/3*r**2 + 8/3.
-(r - 1)*(r + 2)*(r + 4)/3
Let b be (-12 - -22)/280*14/4. Let d(u) be the first derivative of -9/20*u**5 - b*u**4 + 0*u**2 + 9 + 0*u + 0*u**3. Factor d(a).
-a**3*(9*a + 2)/4
Let f(n) be the first derivative of -3*n**4 - 25*n**3 - 63*n**2 - 27*n + 400. Suppose f(v) = 0. What is v?
-3, -1/4
Let c(n) be the third derivative of -n**9/15120 + n**8/5040 + n**7/1260 - n**6/180 - 7*n**5/15 - 10*n**2. Let w(k) be the third derivative of c(k). Factor w(q).
-4*(q - 1)**2*(q + 1)
Suppose 3*n - d = 2*n - 4, -d + 4 = 2*n. Factor 4*g**4 - 3*g**5 - 3 + 4*g - 8*g**2 + n*g**3 - 8*g**3 + 7 + 7*g**5.
4*(g - 1)**2*(g + 1)**3
Let c(f) be the first derivative of -f**6/27 - 22*f**5/45 - 35*f**4/18 - 2*f**3/27 + 52*f**2/3 + 40*f - 67. Let c(y) = 0. Calculate y.
-5, -3, -2, 2
Suppose 14*a - 24 = 2*a. Find d such that -d**a + 32 + 12*d**4 + 5*d - 55*d**2 - 4*d**3 + 11*d = 0.
-2, -2/3, 1, 2
Find s such that 273*s - 116*s**2 + 270 + 225*s**2 - 106*s**2 = 0.
-90, -1
Factor -3/7*t**3 + 6/7*t**2 + 9/7*t**5 - 12/7*t**4 + 0*t + 0.
3*t**2*(t - 1)**2*(3*t + 2)/7
Let v(u) be the third derivative of -u**6/120 - u**5/60 + 5*u**4/24 + 3*u**2. Let l be v(-3). Find m, given that 8/9*m**l - 2/9 + 14/9*m**2 + 4/9*m = 0.
-1, 1/4
Let t(g) = g**3 + 8*g**2 + g + 10. Let z be t(-8). Let s(c) = -16*c**2 + 34*c. Let v(f) = -f**3 + f. Let p(h) = z*v(h) - s(h). Find a, given that p(a) = 0.
0, 4
Let a be (4/1)/(8/14). Factor -a*q - 481 - 3*q + q**2 + 490.
(q - 9)*(q - 1)
Let c(s) be the first derivative of -6 + 0*s + 0*s**2 + 3/11*s**4 - 2/55*s**5 + 0*s**3. Factor c(o).
-2*o**3*(o - 6)/11
Let b = -2/1447 - -2904/7235. Let o be (-21)/(-28) + (-6)/8. Find y, given that 0 + 6/5*y**4 + 0*y - b*y**5 - 4/5*y**3 + o*y**2 = 0.
0, 1, 2
Let f(s) = -6*s**3 + 9*s**2 + s - 4. Let l(i) = -9*i**3 + 13*i**2 + 2*i - 6. Let h(p) = -7*f(p) + 5*l(p). Factor h(j).
-(j - 1)*(j + 1)*(3*j - 2)
Let g = 3/4939 - -14802/24695. Find p, given that 3*p**2 - 27/5 + 9/5*p + g*p**3 = 0.
-3, 1
Let c(y) be the second derivative of 2*y**7/21 - 4*y**6/15 - y**5/5 + 2*y**4/3 - 35*y. What is a in c(a) = 0?
-1, 0, 1, 2
Let o(z) = -z**2 + 2*z - 2. Let p(d) = 3*d**3 + 7*d**2 - 11*d - 40. Let s(m) = 5*o(m) - p(m). Factor s(w).
-3*(w - 2)*(w + 1)*(w + 5)
Let l(y) = y**3 + 31*y**2 - 24*y - 4. Let b(m) = -m**2 - m + 1. Let o(k) = -4*b(k) - l(k). Factor o(q).
-q*(q - 1)*(q + 28)
Suppose 0 = -l - 4, -5*k - 9 - 1 = 5*l. Suppose 16 = -2*s - k*h - 2*h, -5 = 5*s + 3*h. Suppose -n - 1/4*n**4 - 1/2*n**s + n**3 + 3/4 = 0. Calculate n.
-1, 1, 3
Let q(s) be the third derivative of s**6/30 - 2*s**5/15 - 11*s**4/6 + 8*s**3 - 150*s**2. Determine t so that q(t) = 0.
-3, 1, 4
Let i(u) = -16*u**2 - 11*u - 15*u**2 + 35*u**2. Suppose x - 9 = -2*x. Let c(t) = -4*t**2 + 12*t. Let s(o) = x*c(o) + 4*i(o). Factor s(y).
4*y*(y - 2)
Let t be (30/(-9) + 2)/((-4)/(-6)). Let f be (-12)/(-10) - (5 + -2 + t). Suppose -4/5*v**2 - f - v = 0. Calculate v.
-1, -1/4
Factor -3/2*k**2 + 15*k - 24.
-3*(k - 8)*(k - 2)/2
Let g be 60/40*1*(4 - 2). Let n(o) be the first derivative of 4 + 0*o - o**g + 3/2*o**2. Find p such that n(p) = 0.
0, 1
Let u(y) be the first derivative of -y**5/120 - y**4/48 - 7*y**2/2 - 6. Let a(h) be the second derivative of u(h). Factor a(g).
-g*(g + 1)/2
Let j(l) be the second derivative of l**6/90 - l**5/30 + l**3/9 - l**2/6 - 112*l. What is p in j(p) = 0?
-1, 1
Let z = -167/31 + 5423/155. Let o = -29 + z. Determine t so that -1/5*t**4 + o*t**2 + 0 + 0*t**3 + 2/5*t = 0.
-1, 0, 2
Let q be (-4)/(-20) - 19/(-5). Let t(i) be the second derivative of 1/20*i**5 + 4*i + 1/9*i**3 + 0*i**2 + 0 + 5/36*i**q. Let t(y) = 0. Calculate y.
-1, -2/3, 0
Factor 1/8*q**2 - q + 7/8.
(q - 7)*(q - 1)/8
Let q(k) = k**2 - 11*k + 10. Let o be q(1). Determine s so that 1/2*s**2 + o - 2*s = 0.
0, 4
Let k(v) be the first derivative of -3*v**4/28 + 4*v**3/7 + 3*v**2/14 - 12*v/7 + 176. Let k(x) = 0. Calculate x.
-1, 1, 4
Let t(d) = -d**3 - 2*d**2 + 2*d. Let s be t(-3). Let c = 15 - 15. Solve 0*k**s + c*k + 0*k - 4*k**2 - 2*k**3 + 2*k**4 = 0 for k.
-1, 0, 2
Suppose 0 = f - 10 - 20. Factor 3 - 40*p**2 + 3 + 50*p**3 - 8 - f*p**4 + 7*p**5 + 15*p.
(p - 1)**4*(7*p - 2)
Let w(v) be the first derivative of v**6/6 + 2*v**5/5 - v**4/4 - 2*v**3/3 + 34. What is t in w(t) = 0?
-2, -1, 0, 1
Factor 17*k - 1 - 12*k - 27*k**2 + 17*k**2 + 0*k + 16*k**2.
(k + 1)*(6*k - 1)
Let b(j) = -5*j**5 + 43*j**4 - 99*j**3 + 67*j**2 + 97*j - 123. Let v(c) = -c**4 - 2*c**3 + c**2 + c + 1. Let g(h) = b(h) + 3*v(h). Factor g(o).
-5*(o - 3)*(o - 2)**3*(o + 1)
Solve 25*s**2 + 34 - 36*s + 7*s**2 + 5 + 24*s**2 - 59*s**2 = 0 for s.
-13, 1
Let s(r) be the second derivative of -r**5/50 - 7*r**4/10 - 49*r**3/5 - 343*r**2/5 + 52*r. Factor s(l).
-2*(l + 7)**3/5
Let b(w) be the third derivative of -w**5/90 + 4*w**4/9 + 44*w**3/3 + 472*w**2. Solve b(z) = 0.
-6, 22
Let f be (-484)/(-1694) - 8/(-70). Factor 2/5*m**2 + 0 - 2/5*m + f*m**3 - 2/5*m**4.
-2*m*(m - 1)**2*(m + 1)/5
Suppose 3*f - 8 = 3*y + 2*y, 4*f = 5*y + 19. Suppose -24 = d - 5*d - 4*p, 0 = -4*d + p + 14. Factor 8*r**2 - 4 - f*r**2 + 2*r**2 + d*r.
-(r - 2)**2
Suppose 2*g + 165 = 2*f + 5*g, 0 = -2*f + 2*g + 160. Let l = f - 79. Find c such that 0 - 2/11*c**3 + 0*c - 4/11*c**l = 0.
-2, 0
Let g(v) be the second derivative of -1/35*v**7 + 0 - 4/15*v**3 + 8*v + 0*v**2 - 2/75*v**6 + 0*v**4 + 9/50*v**5. Solve g(s) = 0 for s.
-2, -2/3, 0, 1
Let b(a) be the third derivative of 125*a**8/504 + 10*a**7/21 - 29*a**6/18 - 4*a**5/5 + 21*a**4/4 - 6*a**3 + 215*a**2. Determine o, given that b(o) = 0.
-2, -1, 3/5
Let d(y) be the second derivative of -y**5/5 + 3*y**4/2 - 4*y**3 + 4*y**2 - 2*y + 353. Factor d(f).
-2*(f - 2)**2*(2*f - 1)
Let k(d) be the second derivative of d**7/189 - 4*d**6/135 + 8*d + 1. Let k(t) = 0. Calculate t.
0, 4
Let i(q) be the third derivative of 17*q**2 + 1/42*q**7 + 0 + 5/4*q**4 + 0*q**3 - 1/4*q**6 - 1/12*q**5