6. Factor u(q).
2*(q - 2)*(q - 1)*(q + 2)/15
Let k(h) = -3*h**2 + h**2 + 3*h**2 + 4 - 2 + 2*h. Let g be k(-2). Let -2*q**2 + 0*q**2 + g + 0*q**2 = 0. Calculate q.
-1, 1
Let j = -339/13 - -2451/91. Factor -2/7 + j*x + 2/7*x**2 - 6/7*x**3.
-2*(x - 1)*(x + 1)*(3*x - 1)/7
Let x(u) be the third derivative of -u**7/735 - u**6/140 + u**5/210 + u**4/28 - 252*u**2. Factor x(s).
-2*s*(s - 1)*(s + 1)*(s + 3)/7
What is f in -6*f - 28/5*f**2 + 0 + 2/5*f**3 = 0?
-1, 0, 15
Let k(t) = -2*t**3 + t**2 - t. Let y(r) = 27*r**3 + 12*r**2 - 24*r - 432. Let x(j) = -12*k(j) - y(j). Factor x(c).
-3*(c - 4)*(c + 6)**2
Suppose 0 = -c + 3. Factor -21*y**2 - 9*y + c*y + y**3 + 11*y**3.
3*y*(y - 2)*(4*y + 1)
Let u be (9/(-4))/(2/(-8)). Suppose u*f**2 - 4*f + 0*f**2 - 10*f**2 + 14*f = 0. Calculate f.
0, 10
Factor 7*p - 6*p**3 + 66 + 31*p + 12*p - 18*p**2 + 4*p**3.
-2*(p - 3)*(p + 1)*(p + 11)
Let q be (-6)/(-8)*(3 + 17). Suppose 3*f**2 + 1 + 4*f**4 + 20*f**3 - 4*f**5 - 6*f**2 + q - 16*f - 17*f**2 = 0. Calculate f.
-2, -1, 1, 2
Let q = -135 - -132. Let v(y) = -y**3 - 3*y**2 + y + 5. Let o be v(q). Factor -4/3 - 4/3*r**o - 10/3*r.
-2*(r + 2)*(2*r + 1)/3
Let n(f) be the second derivative of -f**6/120 - 7*f**5/60 - f**4/3 + 8*f**3/3 + 5*f**2/2 - 9*f. Let q(s) be the first derivative of n(s). Factor q(y).
-(y - 1)*(y + 4)**2
Suppose -2*l = -0 - 4. Suppose d - 8 = -l*b, 3*b + 2*b = -2*d + 18. Suppose x**3 + x**5 - 2*x**3 - 1 + b*x**2 - x**4 + 0*x**2 - x**3 + x = 0. What is x?
-1, 1
Let d(p) = 2*p**2 - 25*p + 26. Let a be d(12). Let w(c) = c**2 - 14*c + 4. Let z be w(a). Factor 16/3 + z*r - 4/3*r**2.
-4*(r - 4)*(r + 1)/3
Let a(v) = v**2 - 1. Let b(j) = -11*j**2 - 36*j - 28. Suppose -2*u - 13 + 15 = 0. Let f(g) = u*b(g) - a(g). Factor f(k).
-3*(2*k + 3)**2
Let d(m) be the second derivative of 3*m**5/40 - 11*m**4/8 + 19*m**3/4 - 27*m**2/4 + 117*m. Factor d(t).
3*(t - 9)*(t - 1)**2/2
Let o = 59/305 + 4703/915. Factor 14/3*s**3 + 2/3*s**4 + o*s**2 - 32/3*s + 0.
2*s*(s - 1)*(s + 4)**2/3
Let p be 37/((-12765)/30) - (116/(-138))/2. Factor 0*a**2 - p*a**4 + 0*a + 2/3*a**3 + 0.
-a**3*(a - 2)/3
Let l be ((-3)/9)/((-3)/738). Factor -64*q + 5*q**2 - 2 + l + 24*q.
5*(q - 4)**2
Solve 2*d**2 + 11*d**2 - 22*d**2 + 3*d**4 + 6*d = 0 for d.
-2, 0, 1
Let b(l) = 5*l**3 + 2*l**2 - 20*l - 2. Let j(t) = -15*t**3 - 6*t**2 + 60*t + 7. Let c(g) = 17*b(g) + 6*j(g). Factor c(v).
-(v - 2)*(v + 2)*(5*v + 2)
Factor 42 - 78*s + 233*s - 77*s - 138 - 70*s + 4*s**2.
4*(s - 4)*(s + 6)
Let y(h) = 10*h**4 + 18*h**3 - 12*h**2 - 80*h - 54. Let u(l) = 11*l**4 + 17*l**3 - 12*l**2 - 80*l - 55. Let g(v) = -6*u(v) + 7*y(v). Factor g(c).
4*(c - 2)*(c + 1)**2*(c + 6)
Let y(j) be the first derivative of j**8/560 + 3*j**7/280 - 28*j**3/3 + 17. Let v(r) be the third derivative of y(r). Factor v(f).
3*f**3*(f + 3)
Let m(j) be the first derivative of -j**5 - 15*j**4/4 - 10*j**3 + 90*j**2 + 160*j + 27. Let c(b) = b**3 + b. Let x(a) = 20*c(a) - m(a). Factor x(u).
5*(u - 2)*(u + 1)*(u + 4)**2
Let y(k) = -3*k**3 - 44*k**2 + 3*k + 32. Let r(m) = -15*m**3 - 224*m**2 + 15*m + 158. Let a(x) = 2*r(x) - 11*y(x). Let a(f) = 0. Calculate f.
-12, -1, 1
Let r = 2/739 + 719/7390. Let g(i) be the second derivative of -1/15*i**6 + 0*i**2 + r*i**5 + 0 + 1/6*i**4 + 11*i - 1/3*i**3. Factor g(f).
-2*f*(f - 1)**2*(f + 1)
Let r(z) be the first derivative of 0*z**2 + 1/16*z**4 + 0*z + 15 - 1/12*z**3. Factor r(x).
x**2*(x - 1)/4
Suppose -39/4*n - 21/2 + 3/4*n**2 = 0. What is n?
-1, 14
Let p(r) be the first derivative of -2*r**3/9 + 11*r**2/3 - 20*r + 847. Factor p(u).
-2*(u - 6)*(u - 5)/3
Let d(o) be the first derivative of o**4/38 - 8*o**3/57 + 5*o**2/19 - 4*o/19 + 310. Find p, given that d(p) = 0.
1, 2
Factor -1039*q - 36 + 1135*q - 40*q**2 + q**2.
-3*(q - 2)*(13*q - 6)
Let j(t) = t**3 + 48*t**2 - 210*t - 101. Let h be j(-52). Factor 0*d - 2/5*d**h + 0 - 2/5*d**2.
-2*d**2*(d + 1)/5
Let x(l) be the second derivative of l**5/90 - l**4 + 36*l**3 - 648*l**2 - 10*l + 1. Factor x(w).
2*(w - 18)**3/9
Let s(p) be the second derivative of p**6/30 + 7*p**5/20 + 11*p**4/12 + 5*p**3/6 - p - 160. Factor s(h).
h*(h + 1)**2*(h + 5)
Suppose -15/4*a**2 - 1/4*a**4 + 4 + 5/2*a**3 - 5/2*a = 0. What is a?
-1, 1, 2, 8
Let m(i) be the third derivative of i**6/160 + 17*i**5/160 + i**4/2 + 3*i**3/4 - 13*i**2 - 9*i. Solve m(f) = 0.
-6, -2, -1/2
Let i(s) be the first derivative of 3*s**6/2 - 6*s**5 + 9*s**4/4 + 12*s**3 - 6*s**2 - 274. Let i(h) = 0. Calculate h.
-1, 0, 1/3, 2
Let r be ((-22)/(-33))/(3/((-90)/(-4))). Let k be (-45)/18*(1 - 6/r). Determine s, given that 0 + 1/2*s**2 + 1/4*s**5 - 1/4*s - k*s**4 + 0*s**3 = 0.
-1, 0, 1
Suppose 0 = -9*c + 4*c + p + 104, -3*p = -3*c + 72. Determine d so that -2*d**3 + c*d - 2*d**2 + d**3 - 21*d = 0.
-1, 0
What is y in -y**3 + 9 + 5 - 2*y**3 - 2*y - 14*y**2 + 4*y**3 + y**3 = 0?
-1, 1, 7
Let i(o) = 3*o**3 + 19*o**2 + 118*o + 98. Let n(d) = 13*d**3 + 75*d**2 + 471*d + 391. Let q(m) = 9*i(m) - 2*n(m). What is f in q(f) = 0?
-10, -1
Let r = 42/199 - -20/1791. Factor 0*t**4 - 4/9*t**3 + 2/9*t**5 + 0 + r*t + 0*t**2.
2*t*(t - 1)**2*(t + 1)**2/9
Let h(t) be the second derivative of -t**6/120 + t**5/15 - t**4/8 + 23*t**2/2 + 34*t. Let k(w) be the first derivative of h(w). Suppose k(l) = 0. Calculate l.
0, 1, 3
Suppose -2*i = -3*d + 516, -2*i = 4*d - 5*i - 689. Let r be d/45 - (-4)/18. Factor -16*g - 9*g**2 + 6*g**2 - 4*g**2 - r.
-(g + 2)*(7*g + 2)
Let x be 18/1 + (-36)/12. Suppose t - x = -4*d - 3, 3*t = -d + 14. Let 2/3*n**d + 2 - 8/3*n = 0. What is n?
1, 3
Let j(c) = c + 12. Let q be j(6). Factor 4*u**3 - q*u**2 + 31*u**2 - 21*u**2.
4*u**2*(u - 2)
Suppose -23560*b + 64 = -23544*b. Find w, given that 0*w + 2/7*w**3 + 0 - 2/7*w**b + 4/7*w**2 = 0.
-1, 0, 2
Suppose 2*o - 3*o + 119 = 3*x, -3*x = -2*o - 122. Suppose -x*c + 35*c + 10 = 0. Suppose 2/9*d**4 + 0 - 4/9*d + 10/9*d**c - 8/9*d**3 = 0. Calculate d.
0, 1, 2
Factor 358*w**3 - 60*w + 129*w**2 - 361*w**3 + 108*w + 222*w.
-3*w*(w - 45)*(w + 2)
Suppose 257 = 25*p + 132. Find t, given that 27/5*t + 54/5 - 2*t**4 - 34/5*t**3 - 1/5*t**p - 36/5*t**2 = 0.
-3, -2, 1
Let n(f) be the third derivative of -7*f**6/1320 - f**5/55 + f**4/66 - 190*f**2. Let n(y) = 0. What is y?
-2, 0, 2/7
Let f(d) be the second derivative of -d**5/40 + 7*d**4/24 + 17*d**3/12 + 9*d**2/4 - 163*d. What is s in f(s) = 0?
-1, 9
Suppose -315 = -6*q - 33. Suppose 132*z**2 - 28*z + 98 - 44*z**2 - q*z**2 - 39*z**2 = 0. What is z?
7
Let w(y) be the first derivative of -y**6/72 + 9*y**5/40 - 5*y**4/12 - 3*y**3 + 27. Let r(v) be the third derivative of w(v). Factor r(k).
-(k - 5)*(5*k - 2)
Let a(z) be the second derivative of -5/3*z**3 - 1/6*z**4 - 18*z + 1 + 6*z**2. Suppose a(k) = 0. Calculate k.
-6, 1
Let a(i) be the third derivative of i**5/12 + 5*i**4/2 + 180*i**2. Factor a(c).
5*c*(c + 12)
Let x = -1 - -4. Let a be -3*((-8)/x)/4. Factor -4*f**a + 18*f - 22*f + 2*f**2 - 2.
-2*(f + 1)**2
Let m(f) be the first derivative of 0*f + 1/7*f**2 + 2/21*f**3 - 1/14*f**4 - 2/35*f**5 - 7. What is w in m(w) = 0?
-1, 0, 1
Solve 15 - 14 + 30*l + 6 + 14 + 3*l**2 - 6*l = 0 for l.
-7, -1
Let l(x) be the third derivative of -x**5/360 + x**4/36 - x**3/9 + 62*x**2. Factor l(r).
-(r - 2)**2/6
Let t(d) be the first derivative of -4/3*d - 23/9*d**3 + 11/24*d**4 + 13/3*d**2 - 44. Solve t(i) = 0 for i.
2/11, 2
Let j be (6/(-3) - -2)/1. Suppose -8*t + 4*t + 12 = j. Factor 3 - 9*d**3 + 0*d**3 - 6*d**t - 12*d + 3*d**3 + 18*d**2 + 3*d**4.
3*(d - 1)**4
Let t = 5 - 2. Suppose 2*k + 5*i - 11 = 0, -t*k + 0*i = i - 10. Factor -j - 5*j**3 + 5*j**5 + j**k - 3*j**5 + 3*j.
2*j*(j - 1)**2*(j + 1)**2
Let s(f) be the first derivative of 1/9*f**3 - 35 - 7/3*f - f**2. Find g such that s(g) = 0.
-1, 7
Factor -2*v**3 + 2/9*v**4 + 46/9*v**2 - 8 - 2/3*v.
2*(v - 4)*(v - 3)**2*(v + 1)/9
Let q(l) be the first derivative of -2*l**3/9 - 26*l**2/3 + 18*l - 352. Find j such that q(j) = 0.
-27, 1
Let f = -15550 - -77752/5. Find k, given that -2*k**4 + 14/5*k**3 + 2/5*k**2 - 16/5*k + 8/5 + f*k**5 = 0.
-1, 1, 2
Factor 363*o - 3*o**5 - 115*o**4 + 625*o**2 - 71*o**4 - 360*o**3 + 180 - 619*o**2.
-3*(o - 1)*(o + 1)**3*(o + 60)
Solve 0 + 8/9*r**4 - 2/9*r**5 - 10/9*r - 8/9*r**2 + 4/3*r**3 = 0.
-1, 0, 1, 5
Suppose -45*r + 90*r = 47*r. Solve 1/6*v**3 + 0*v + 0 + r*v**2 = 0.
0
Find n such that -10/13*