d**4. Factor c(a).
-2*(a + 3)*(a + 4)**2/11
Let m(n) be the third derivative of -11*n**7/35 - 9*n**6/8 - 6*n**5/5 - n**4/8 - 4*n**2 - 35*n. Let m(r) = 0. What is r?
-1, -1/22, 0
Let x be (2 - -1)/((-5)/(-25)). Find v such that 21*v - v + v + x*v**3 + 18 - 51*v**2 - 3*v**2 = 0.
-2/5, 1, 3
Let o(d) be the third derivative of -d**8/1008 + d**7/126 + d**6/40 - 13*d**5/180 - 7*d**4/18 - 2*d**3/3 - 529*d**2. Factor o(s).
-(s - 6)*(s - 2)*(s + 1)**3/3
Let a(f) = -2*f**3 - 7*f**2 + 3*f**2 + 2*f - 3 + 11*f**2 - f. Let x(c) = -2*c**3 + 8*c**2 + 2*c - 4. Let i(d) = -4*a(d) + 3*x(d). Factor i(q).
2*q*(q - 1)**2
Let u = 2877/4 + -723. Let a = -13/4 - u. Let 3/4*d**2 + 0 - a*d - 1/4*d**3 = 0. Calculate d.
0, 1, 2
Suppose 0 = 30*t - 25*t - 20. Determine i so that 3*i + 9*i + 8*i**2 - 2*i + t + 2*i**3 = 0.
-2, -1
Suppose 8*h + 2*k - 14 = 4*h, -15 = -3*h - 3*k. Let a(y) = -y**3 - 8*y**2 + 59*y - 6. Let g be a(4). Factor g - 38 + 4*l**h.
4*l**2
Factor 4840 - 220*z + 5/2*z**2.
5*(z - 44)**2/2
Let f = 2551/3 - 850. Let d(r) be the first derivative of 0*r**4 - f*r**3 + 4 + 0*r + 0*r**2 + 1/5*r**5. Factor d(j).
j**2*(j - 1)*(j + 1)
Let j(n) = n**3 - 11*n**2 - 14*n - 4. Let r be j(12). Let v = r - -35. Let 0*w - 2*w**3 + 2*w - v*w**4 + 2*w**2 + 5*w**4 = 0. Calculate w.
-1, 0, 1
Let g be -2*1 + (-735)/(-105). Let o(u) be the first derivative of 0*u**3 + 1/42*u**6 - 2/35*u**g + 0*u**2 + 1/28*u**4 + 0*u - 6. Factor o(k).
k**3*(k - 1)**2/7
Suppose 7*q - 6*q = 5. Solve 28*l + 1 - 58*l + 6*l**2 + 29*l - q*l**4 - 2 + 3*l**5 - 2*l**3 = 0.
-1, -1/3, 1
Let i = 3/29083 - -174483/145415. What is d in 4/5 - i*d + 2/5*d**2 = 0?
1, 2
Let v(y) be the second derivative of -1/360*y**6 - 3*y - 5/6*y**3 + 0*y**4 + 0*y**2 + 0 - 1/120*y**5. Let d(u) be the second derivative of v(u). Factor d(l).
-l*(l + 1)
Let l = -5 - -25. Let t be (4/6)/(l/210). Determine d so that d**2 + 2*d**3 + 5*d + d**2 - 7*d**3 + 5 - t*d**2 = 0.
-1, 1
Let o = 18/23 - -128/483. Factor 38/21*c**2 + 2/21 + o*c + 6/7*c**3.
2*(c + 1)**2*(9*c + 1)/21
Let t(o) be the second derivative of 5*o + 0*o**2 + 0 - 3/10*o**5 - 2/3*o**4 - 4/9*o**3. Suppose t(x) = 0. What is x?
-2/3, 0
Let y(r) be the second derivative of -1/4*r**4 - 5*r**3 - 3*r + 0 - 75/2*r**2. Factor y(t).
-3*(t + 5)**2
Factor 3171*k + 2*k**5 - 3171*k - 128*k**3 - 126*k**4.
2*k**3*(k - 64)*(k + 1)
Let v be 7 + (-14)/196*-154. Let 24*o + 1/2*o**3 + 13/2*o**2 + v = 0. Calculate o.
-6, -1
Let j(a) be the third derivative of -5/96*a**4 + 1/240*a**5 + 0 + 1/4*a**3 - 33*a**2 + 0*a. Factor j(l).
(l - 3)*(l - 2)/4
Suppose -4*z + 6*z - 6 = 0. Determine y so that -y**2 - y**z - 3*y**3 + 5*y**2 = 0.
0, 1
Let i(j) be the first derivative of -15/13*j**4 - 1/39*j**6 + 92/39*j**3 + 12 + 18/65*j**5 - 33/13*j**2 + 18/13*j. Factor i(z).
-2*(z - 3)**2*(z - 1)**3/13
Let m(n) = 34*n**2 - n + 1. Let h be m(-1). Let i be ((-1)/3)/((-4)/h). Factor 4/3*b**2 + 2/3*b**i - 4/3 - 2/3*b.
2*(b - 1)*(b + 1)*(b + 2)/3
Let b = -4099/3 + 1367. Find h, given that 4/9 - b*h + 2/9*h**2 = 0.
1, 2
Let v(h) = 3*h - 22. Let x be v(9). Suppose 0 = -x*s - 3*n + 26, -2*s - 2*s + 26 = 5*n. Factor -3*a**3 - 2*a + 0*a - a**3 + 3*a**2 - 8*a**2 - a**s.
-a*(a + 1)**2*(a + 2)
Let q be (-783)/99 + 8 + 63/33. Factor 1/2*i**q - 1/2*i**4 - 1/2*i**5 + 0*i + 1/2*i**3 + 0.
-i**2*(i - 1)*(i + 1)**2/2
Let s(f) be the second derivative of f**6/2700 - f**5/450 - 8*f**3/3 - 17*f. Let m(w) be the second derivative of s(w). Determine j, given that m(j) = 0.
0, 2
Let a(b) = -2*b**2 - 45*b + 4*b**3 + 44*b - 8*b**3. Let d be a(-1). Factor -1/4*m**d + 1/2 + m**2 - 5/4*m.
-(m - 2)*(m - 1)**2/4
Let z(w) be the second derivative of w**6/105 + 2*w**5/35 - 3*w**4/7 + 20*w**3/21 - w**2 - 56*w. Solve z(c) = 0 for c.
-7, 1
Let k(y) be the second derivative of 3*y + 0 + 1/16*y**4 - 5/2*y**2 + 0*y**3 + 1/40*y**5. Let r(t) be the first derivative of k(t). Factor r(u).
3*u*(u + 1)/2
Let g be 711/1512 + (-36)/96. Factor 0 + 0*m + g*m**3 + 0*m**2.
2*m**3/21
Factor 78/7*q - 30/7*q**2 + 36/7.
-6*(q - 3)*(5*q + 2)/7
Let y(j) be the second derivative of 9*j**5/20 - 7*j**4/4 - 7*j**3/2 + 9*j**2/2 + 179*j. Determine f so that y(f) = 0.
-1, 1/3, 3
Let c = 37 - 36. Let a(n) = 10*n**3 - 6*n**2 - 18*n + 14. Let p(j) = -j**3 + j**2 + j - 1. Let y(z) = c*a(z) + 12*p(z). Factor y(o).
-2*(o - 1)**3
Let r = -27/10 - -26/5. Let x be (6/(-10))/(231/(-1155)). Factor r*s**4 + 0 + 9/2*s**2 + 6*s**x + s.
s*(s + 1)**2*(5*s + 2)/2
Let z = 93 + -79. Let q be z/105 + (-28)/(-15). Factor 8/3*p**q + 2/3*p + 2/3*p**5 + 4*p**3 + 0 + 8/3*p**4.
2*p*(p + 1)**4/3
Let q = -2/405 - -836/5265. Suppose -14*y - 5*y + 2*y = 0. Factor 2/13*w**3 + y + 2/13*w**2 - 2/13*w - q*w**4.
-2*w*(w - 1)**2*(w + 1)/13
Let x be 78/26*(-2)/(-48 - 0). Let y(z) be the first derivative of 0*z**5 + 0*z**2 + 0*z**3 - 5 + 0*z + 1/12*z**6 - x*z**4. Factor y(f).
f**3*(f - 1)*(f + 1)/2
Suppose -2 - x**2 + 19/3*x = 0. Calculate x.
1/3, 6
Let l be (-78)/(-7) - (-32)/(-224). Suppose -12*r = -l*r. Determine x so that -1/5*x**3 - 1/5*x**2 + 0*x + r = 0.
-1, 0
Let u(s) = 5*s**2 - 5*s + 3. Let q be u(3). Let j be q/(-44) + (-27)/(-4). Solve -63/5*w**4 + 9/5*w - j*w**5 - 3*w**3 + 33/5*w**2 - 6/5 = 0.
-1, 2/5, 1/2
Let m(c) be the first derivative of -c**3/7 - 9*c**2/14 - 6*c/7 + 56. Let m(y) = 0. Calculate y.
-2, -1
Let q(p) be the third derivative of -p**8/43680 - p**7/8190 + 5*p**4/6 + 9*p**2. Let v(r) be the second derivative of q(r). Find u, given that v(u) = 0.
-2, 0
Determine o, given that 0 + 10*o**3 - 5/2*o**4 + 105/2*o**2 + 0*o = 0.
-3, 0, 7
Factor 1/9*a**2 + 2*a + 32/9.
(a + 2)*(a + 16)/9
Suppose 43*j = 50*j. Suppose -5*a - 9 = -19. Suppose 1/4*n**a + j*n - 1/4 = 0. Calculate n.
-1, 1
Let n(d) be the second derivative of -2/3*d**4 + 0 - 11*d - 1/30*d**6 + 9/2*d**2 - 3/10*d**5 + d**3. Suppose n(r) = 0. What is r?
-3, -1, 1
Let u(b) = b + 19. Let p be u(-17). Let i(s) be the second derivative of -5*s + 3/4*s**p + 0 + 1/72*s**4 - 1/6*s**3. Find d such that i(d) = 0.
3
Let n(g) = -5*g**4 - 72*g**3 + 60*g**2 - g. Let u(y) = y**4 + 3*y**3 - y**2 - y. Let d(j) = 2*n(j) + 18*u(j). Factor d(a).
2*a*(a - 10)*(a - 1)*(4*a - 1)
Let a be (-10988)/(-1608) + -7 + (3 - (0 - -2)). Factor 10/3*n**3 + 0 + a*n**4 + 25/6*n**2 + 5/3*n.
5*n*(n + 1)**2*(n + 2)/6
Suppose -2 = 4*v - 14. Suppose 6*s = v*s + 9. Suppose 14*y**4 - 27*y**s - 32*y**4 - 3*y**5 + 1 - 1 = 0. What is y?
-3, 0
Suppose 0 = -1264*y + 1273*y - 90. Let z(s) be the first derivative of -100/3*s**3 - 7*s**5 + 0*s + 12 + 115/4*s**4 + y*s**2. Solve z(k) = 0 for k.
0, 2/7, 1, 2
Factor 4/9*m**3 - 4*m**2 + 32/9*m + 80/3.
4*(m - 6)*(m - 5)*(m + 2)/9
Let w = -6473 + 6473. Factor 2/9*f + w - 2/3*f**2 + 4/9*f**3.
2*f*(f - 1)*(2*f - 1)/9
Suppose -6*p - 5 - 1 = 0. Let o be (p + 5)/((-22)/(-33)). Let 0*b + 5*b**3 + 5*b**3 - o*b**2 - 10*b - 2 + 8*b**4 = 0. Calculate b.
-1, -1/4, 1
Solve 4/9*a**5 - 8*a**3 + 0 + 16/9*a**4 + 80/9*a**2 - 28/9*a = 0 for a.
-7, 0, 1
Factor -86*q**2 + 2*q + 89*q**2 + q**4 - 2*q**4.
-q*(q - 2)*(q + 1)**2
Suppose -2/9*j**4 - 128/9 - 64/3*j - 8/3*j**3 - 104/9*j**2 = 0. Calculate j.
-4, -2
Let m(l) be the second derivative of 100/3*l**3 + 1000/3*l**2 + 0 + 5/3*l**4 - 32*l + 1/30*l**5. Factor m(c).
2*(c + 10)**3/3
Let v(w) be the first derivative of w**3/3 - 5*w**2/2 - 6*w - 4. Factor v(m).
(m - 6)*(m + 1)
Let j(y) be the first derivative of 9*y**5/5 - 16*y**4/3 + 10*y**3/3 + 4*y**2 + 12*y - 14. Let b(t) be the first derivative of j(t). What is p in b(p) = 0?
-2/9, 1
Let t(q) be the first derivative of -2*q**3/45 + 2*q/15 - 62. Factor t(y).
-2*(y - 1)*(y + 1)/15
Suppose 0 = -2*w + 4*h + 2, 5*w = -20*h + 17*h + 18. Factor 2/9*u**w - 10/9*u - 2/3 - 2/9*u**2.
2*(u - 3)*(u + 1)**2/9
Factor 5/3*v**2 + 0 + 2*v - 1/3*v**3.
-v*(v - 6)*(v + 1)/3
Let y(o) be the second derivative of -1/225*o**6 + 1/90*o**4 + 0*o**2 + 0 + 1/150*o**5 + 14*o - 1/45*o**3. Solve y(a) = 0 for a.
-1, 0, 1
Let w(r) be the third derivative of -12*r**2 + 0 + 1/420*r**6 + 1/84*r**4 + 1/105*r**5 + 0*r + 0*r**3. Solve w(y) = 0 for y.
-1, 0
Let t be 16*3/21*(-7)/(-14). Solve -4/7*h**3 - t*h + 0 - 2/7*h**4 + 2*h**2 = 0.
-4, 0, 1
Suppose -2*r - 2*r - 5 = 5*t, r = -4*t - 15. Let n be 3/8 + ((-12)/32 - 0). Let n*y + 2/5*y**3 - 4/5*y**4 + 0*y**2 + 0 + 2/5*y**r = 0. What is y?
0, 1
Factor -15*z**2