3/7 + 73*k. Factor u(w).
-4*w*(w + 5)*(w + 12)/7
Let m = -6 - -10. Suppose -s - 21 - 23 + 47 = 0. What is j in 2/5*j**s + 1/5*j**m + 0*j**2 + 0*j + 0 = 0?
-2, 0
Suppose -3*o = -4*y + 11, 3*o = -4*y - 14 + 43. Let r(a) = 6*a - 3 + a**2 + o. Let v(m) = -m**2 - 3*m. Let d(n) = -4*r(n) - 7*v(n). Find h, given that d(h) = 0.
0, 1
Let t(f) be the third derivative of -f**9/136080 + f**8/45360 + f**7/5670 + 7*f**5/30 + 25*f**2. Let i(p) be the third derivative of t(p). Factor i(d).
-4*d*(d - 2)*(d + 1)/9
Let p be ((-8)/60)/(128/(-80)). Let h(f) be the third derivative of 0*f**3 + 1/120*f**6 + p*f**4 - 1/20*f**5 + 0*f + 0 + 5*f**2. What is a in h(a) = 0?
0, 1, 2
Suppose -4*i + 7 = 43. Let u be -15*(6/i)/2. Suppose a**2 + 8*a**5 + 6*a**u - 3*a**3 + 3*a**4 - 15*a**5 = 0. Calculate a.
0, 1
Let -32*s**2 - 2243*s + 2227*s - 29*s**3 - 4*s**4 + 9*s**3 = 0. Calculate s.
-2, -1, 0
Let j(p) be the first derivative of -p**6/15 + p**5/6 - p**4/12 - 9*p**2/2 + 2. Let i(h) be the second derivative of j(h). Factor i(x).
-2*x*(x - 1)*(4*x - 1)
Let y = 921/646 - 22/17. Let t = 101/190 - y. Let t*w**2 - 4/5*w + 2/5 = 0. Calculate w.
1
Let h(x) be the second derivative of -1/21*x**3 - 1/28*x**4 + 0*x**2 + 1/210*x**6 + 0 - 22*x + 0*x**5. Factor h(m).
m*(m - 2)*(m + 1)**2/7
Factor -15*r - 18*r + 53*r - 2*r**3 + 2*r**2 + 4*r**2.
-2*r*(r - 5)*(r + 2)
Factor 7*x**4 + 25*x**3 + 16*x**2 + 88*x**2 + 144*x + 8*x**3 - 4*x**4 + 16*x**2.
3*x*(x + 3)*(x + 4)**2
Let p = -1979/5 - -396. Solve 1/5*i**3 - i + p*i**2 + 3/5 = 0.
-3, 1
Let a(t) = t**3 - 15*t**2 + 47*t - 28. Let r be a(11). Factor -8/7 + 16/7*n**3 + 16/7*n**4 + 4/7*n**r - 8/7*n**2 - 20/7*n.
4*(n - 1)*(n + 1)**3*(n + 2)/7
Determine t, given that 16*t**2 - 3284 + 3284 + 4*t**3 - 20*t = 0.
-5, 0, 1
Let c(w) be the first derivative of -12*w**5/5 - 3*w**4/4 + 4*w**3 + 3*w**2/2 + 12. Factor c(j).
-3*j*(j - 1)*(j + 1)*(4*j + 1)
Let r(g) be the first derivative of -g**4/4 - 4*g**3 - 21*g**2/2 - 10*g + 325. Factor r(f).
-(f + 1)**2*(f + 10)
Let n be -3*((-42)/9 + 2). Let c = 12 - n. Determine l, given that -2*l**5 + 5*l**5 - 4*l**3 + 3*l**c + 5*l**2 - 8*l**2 + l**3 = 0.
-1, 0, 1
Let b(p) be the third derivative of 18*p**2 - 2/3*p**3 + 0*p + 3/8*p**4 + 0 - 1/10*p**5 + 1/120*p**6. Find a such that b(a) = 0.
1, 4
Let v(d) be the second derivative of 0 + 0*d**3 + 0*d**4 + 15*d + 0*d**2 - 1/40*d**5 - 1/60*d**6. Factor v(j).
-j**3*(j + 1)/2
Let y(s) = -2*s**2 - 22*s + 162. Let n be y(-16). Factor 0*x**n + 0 - 2/11*x**3 + 2/11*x.
-2*x*(x - 1)*(x + 1)/11
Let h(y) be the second derivative of 0*y**2 - 99/130*y**5 - 9/26*y**4 + 100/273*y**7 + 29*y + 11/39*y**6 + 9/13*y**3 + 0. Find m, given that h(m) = 0.
-1, -3/4, 0, 3/5
Let r(a) be the second derivative of a**6/20 + 9*a**5/40 + 3*a**4/8 + a**3/4 + 16*a + 2. Find c such that r(c) = 0.
-1, 0
Suppose 3 + 7 = 2*b. Let c(u) be the second derivative of 1/24*u**4 + 1/84*u**7 + 0*u**2 + 0*u**3 + 3/40*u**b + 6*u + 0 + 1/20*u**6. Factor c(m).
m**2*(m + 1)**3/2
Let s = 6 - 2. Suppose -24 = -2*c - s*k, 2*k + 4 = 5*c - 8. Factor -2 + 3*n**2 - 2*n - n - c.
3*(n - 2)*(n + 1)
Solve 0 - 2/3*h**2 - 44/3*h = 0.
-22, 0
Let n(z) = 3*z**3 - z**2 - 7*z + 1. Let l(w) = 4*w**3 - 15*w - w**3 + 3 + 3*w**3 - 3*w**2 + 0*w**2. Let u(r) = -4*l(r) + 9*n(r). Solve u(i) = 0.
-1, 1
Let p(j) be the third derivative of j**6/90 - 2*j**5/45 - 13*j**4/18 - 20*j**3/9 + 7*j**2 - 10*j. Let p(v) = 0. Calculate v.
-2, -1, 5
Let d(y) = 2*y**3 + 18*y**2 + 28*y - 4. Let i(k) = -10*k**3 - 89*k**2 - 138*k + 22. Let h(c) = -11*d(c) - 2*i(c). Factor h(n).
-2*n*(n + 2)*(n + 8)
Determine a so that 2883/5 + 3/5*a**2 + 186/5*a = 0.
-31
Factor -18/5*d**2 - 2/5*d**3 - 54/5 - 54/5*d.
-2*(d + 3)**3/5
Let k(n) = -35*n - 382. Let c be k(-11). Factor 12/5*b**2 + 2/5*b**c + 16/5 + 24/5*b.
2*(b + 2)**3/5
Let c = 7 + -2. Suppose 0 = c*f + 2*j, 4*f + 4 - 7 = -j. Factor 27*p**2 - 1 - 2*p - 1 - 25*p**f + 2*p**3.
2*(p - 1)*(p + 1)**2
Let g be -5 + 2 - (-7216)/2409. Let v = 74/219 + g. Factor 1/3 - v*r + 1/3*r**3 - 1/3*r**2.
(r - 1)**2*(r + 1)/3
Let t(n) = 52*n**3 + 323*n**2 + 67*n + 8. Let b(q) = 17*q**3 + 108*q**2 + 22*q + 3. Let l(k) = 8*b(k) - 3*t(k). Factor l(x).
-5*x*(x + 5)*(4*x + 1)
Suppose 6*j - 39 = j - 3*m, -6 = -2*m. Suppose -j = 4*x - 18. Determine n so that -11*n - 27*n**x - 71*n**2 + 6 - 30 - 43*n**2 - 121*n = 0.
-2, -2/9
Let g be 0 - (3 + (-42)/(-12)*-2) - 0. Factor -1/3*u**3 + 0 + 0*u + 1/3*u**g + 0*u**2.
u**3*(u - 1)/3
Factor -6*x - 5*x**2 + 5*x**3 - 4*x + 36 - 36.
5*x*(x - 2)*(x + 1)
Let h(n) be the first derivative of -n**3/2 + 39*n**2/4 - 18*n + 38. Determine m so that h(m) = 0.
1, 12
Suppose 2/9*n + 4/9 - 2/9*n**3 - 2/3*n**2 + 2/9*n**4 = 0. What is n?
-1, 1, 2
Factor -5 - 34 + 18*s - 45 - 2*s**2 + 4*s**2 + 4*s.
2*(s - 3)*(s + 14)
Let q be 6 - 8 - 15/(-3). Factor -3*c - 2*c - 100 - 20*c**q - 25*c**2 + 100.
-5*c*(c + 1)*(4*c + 1)
Let m(y) be the third derivative of -y**4/24 + y**3/6 + 13*y**2. Let j be m(-1). Factor 0*a**j + 2/7*a**5 + 0*a**4 - 4/7*a**3 + 0 + 2/7*a.
2*a*(a - 1)**2*(a + 1)**2/7
Determine u, given that -640/7*u**3 + 472*u - 3762/7*u**2 + 50/7*u**4 - 680/7 = 0.
-5, 2/5, 17
Determine v, given that 100*v**2 - 468 + 13*v**4 - 8*v**4 + 363 + 50*v - 50*v**3 = 0.
-1, 1, 3, 7
Let q = -73 + 67. Let g(i) = 4*i**3 + 7*i**2 + 8*i + 2. Let n(c) = -41*c**2 + c - 15*c**3 - 12 - 8*c**3 - 48*c. Let l(s) = q*n(s) - 34*g(s). Factor l(p).
2*(p + 1)**2*(p + 2)
Factor -68/3 + 2/3*d**2 - 22*d.
2*(d - 34)*(d + 1)/3
Suppose 223*k - 228*k + 6 - 66 + 5*k**2 = 0. Calculate k.
-3, 4
Let n(q) be the second derivative of q**5/20 - 2*q**4/3 - 19*q**3/6 - 5*q**2 + 5*q - 5. Factor n(p).
(p - 10)*(p + 1)**2
Solve 722/5*z**2 + 2/5*z**4 + 0 + 0*z + 76/5*z**3 = 0 for z.
-19, 0
Let -105 - 102 + 3*f**2 + 12*f + 192 = 0. Calculate f.
-5, 1
Let c(u) be the second derivative of -u**5/140 - 3*u**4/56 - u**3/7 + 4*u**2 + 14*u. Let f(w) be the first derivative of c(w). Let f(x) = 0. What is x?
-2, -1
Let p(f) be the first derivative of -2*f**5/5 - 10*f**4 - 66*f**3 + 20*f**2 + 200*f - 183. Factor p(z).
-2*(z - 1)*(z + 1)*(z + 10)**2
Let o(p) = 9*p - 122. Let j be o(14). Let g(c) be the first derivative of -2*c**3 - 9/2*c**2 + 9 - j*c - 1/4*c**4. Suppose g(f) = 0. Calculate f.
-4, -1
Let o(f) = -f**3 - f**2 - f - 1. Let s be o(-1). Suppose s = 5*d - 12*d + 35. Factor d*c**4 + 25/3*c**3 + 1/3 + 5/2*c + 7/6*c**5 + 20/3*c**2.
(c + 1)**4*(7*c + 2)/6
Let b(l) = 3*l + 17. Suppose 5*c + 14 = -11. Let p be b(c). Factor 8/5 - 24/5*i + 18/5*i**p.
2*(3*i - 2)**2/5
Let x(c) be the second derivative of 7/16*c**6 + 3/16*c**3 - 37/32*c**4 + 0 + 9*c - 117/160*c**5 + 9/28*c**7 + 3/8*c**2. Suppose x(f) = 0. What is f?
-1, -2/9, 1/4, 1
Let g(j) be the first derivative of 2*j**5/25 + j**4/5 - 2*j**3/15 - 2*j**2/5 + 22. Let g(n) = 0. What is n?
-2, -1, 0, 1
Factor -35/3*a**2 - 355/3*a - 50/3.
-5*(a + 10)*(7*a + 1)/3
Suppose -149*o - 3 = -150*o. Factor 5/6*c**4 + 0*c - 5/6*c**2 + 5/6*c**5 - 5/6*c**o + 0.
5*c**2*(c - 1)*(c + 1)**2/6
Let u(a) be the second derivative of 10*a**4/3 - 62*a**3/3 + 6*a**2 - 84*a - 2. Suppose u(v) = 0. What is v?
1/10, 3
Suppose -11*d + 4 = -10*d. Factor 1 - i + 0 + 17*i + 3 - d*i**2 - 16*i**3.
-4*(i - 1)*(i + 1)*(4*i + 1)
Let q(s) be the second derivative of s**8/756 - s**6/90 + 2*s**5/135 - 7*s**2/2 + 20*s. Let v(f) be the first derivative of q(f). Factor v(d).
4*d**2*(d - 1)**2*(d + 2)/9
Let -9/4 + 1/4*t**2 - 1/4*t**3 + 9/4*t = 0. Calculate t.
-3, 1, 3
Let y(k) be the first derivative of -k**4 + 92*k**3/3 + 330*k**2 + 1044*k - 911. Factor y(b).
-4*(b - 29)*(b + 3)**2
Let q(m) be the second derivative of 0*m**3 - 1/24*m**4 + 1/40*m**5 + 0*m**2 + 0 + 11*m. Suppose q(k) = 0. What is k?
0, 1
Let j(c) be the second derivative of -c**7/126 + 2*c**6/15 - 23*c**5/30 + 5*c**4/3 - 25*c**3/18 - 37*c - 2. Factor j(i).
-i*(i - 5)**2*(i - 1)**2/3
Let r = 3527325/3311 + 855/473. Let d = r + -1064. Factor 18/7*s**4 + 0 + d*s**3 + 4/7*s**2 + 0*s.
2*s**2*(s + 1)*(9*s + 2)/7
Let u = -19 - -16. Let z be 5/25 - u/35. Factor 6/7*w + z*w**2 + 4/7.
2*(w + 1)*(w + 2)/7
Suppose h - 8 = -3*v - v, -2 = -v - 2*h. Let s(l) = -2*l**2 - l**2 + l + 5*l**v + 0*l - 6. Let m(y) = y. Let t(z) = 5*m(z) - s(z). Factor t(u).
-2*(u - 3)*(u + 1)
Let l(m) be the second derivative of m**4/24 + 7*m**3/12 +