*l + 2/11*l**v.
2*(l - 1)*(l + 1)*(l + 7)/11
Let r be -136*3*-4*5/30. Suppose r = g + 269. What is m in -4/3*m - 1/3*m**4 + 0 + 0*m**2 + m**g = 0?
-1, 0, 2
Let i be 2/(-14)*2*(-2219)/317. Let d(m) be the second derivative of 1/3*m**i - 1/3*m**3 + 0 - 1/30*m**5 + 1/6*m**4 - 16*m. Factor d(w).
-2*(w - 1)**3/3
Let k(q) be the second derivative of q**7/63 + 56*q**6/15 + 83*q**5/5 + 248*q**4/9 + 55*q**3/3 + 312*q + 1. Let k(i) = 0. What is i?
-165, -1, 0
Let r(f) = f**3 - 6*f**2 + 3*f - 3. Let z be r(5). Let w(u) = -2*u - 22. Let t be w(z). Factor 24*a**3 + 0*a**2 + 15*a**t + 16*a**2 - 4*a**2 + 3*a**5.
3*a**2*(a + 1)*(a + 2)**2
Let t(b) = 8*b - 18. Let l(c) = 1 + 9 + 8 - c**2 + 3421*c - 3427*c. Let i(g) = -2*l(g) - 3*t(g). Factor i(d).
2*(d - 3)**2
Let c = -321019/3 - -107007. Suppose 2/3*k - c*k**2 + 0 = 0. Calculate k.
0, 1
Let x(z) = -164*z**2 + 2516*z - 7416. Let d(l) = -103*l**2 + 1677*l - 4944. Let o(s) = -8*d(s) + 5*x(s). Let o(t) = 0. Calculate t.
3, 206
Let c be 38 + (-4572)/135 + -4. Factor -68/15*f + c*f**2 + 578/15.
2*(f - 17)**2/15
Let m(a) be the first derivative of a**3/4 + 177*a**2/2 + 705*a/4 + 2927. Factor m(n).
3*(n + 1)*(n + 235)/4
Let b(n) = 5*n**2 + n + 1. Let v(d) = 39*d**2 - 713*d + 7. Let a(x) = -7*b(x) + v(x). Suppose a(f) = 0. What is f?
0, 180
Let n be 2*2/10 + 7515/(-225). Let w be 4/9*(n/(-6) + -4). Find j, given that 2*j**3 + 2/3*j**4 - 4/3*j - w*j**2 - 2/3*j**5 + 0 = 0.
-1, 0, 1, 2
Suppose -407*m + 4440 = -332*m + 1035*m. Factor -7/6*d**2 + 0 + 1/6*d**5 + 3/2*d**3 - 5/6*d**m + 1/3*d.
d*(d - 2)*(d - 1)**3/6
Let k(u) be the first derivative of u**6/10 + 51*u**5/20 - 9*u**4/2 - 54*u + 139. Let t(q) be the first derivative of k(q). Factor t(v).
3*v**2*(v - 1)*(v + 18)
Let p(s) be the second derivative of -s**5/40 + 213*s**4/8 - 45369*s**3/4 + 9663597*s**2/4 + 441*s. Factor p(w).
-(w - 213)**3/2
Let k = -22240 - -22244. Find l such that 0*l - 8/5*l**2 + 2/5*l**5 + 0 + 8/5*l**k - 2/5*l**3 = 0.
-4, -1, 0, 1
Suppose -2 = -2*c - 3*a + a, 0 = -3*c - 4*a + 1. Suppose -c*j - 3 = -f, 4*f = j + 2*j + 12. Suppose -3/5*p**2 + j - 6/5*p = 0. What is p?
-2, 0
Let -31*g**2 + 15*g**3 + 40*g**2 - 135*g - 28*g**3 + 16*g**3 - 525 = 0. What is g?
-5, 7
Let x(c) be the second derivative of 9*c**5/200 - 61*c**4/40 + 58*c**3/15 - 19*c**2/5 + 2*c - 420. Factor x(n).
(n - 19)*(3*n - 2)**2/10
Let w = 455 - 439. Factor 52*z - 17 - 17*z**2 + 46*z**2 - w*z**2 - 2*z**3 - 15*z**2 - 31.
-2*(z - 4)*(z - 1)*(z + 6)
Let k(h) = -h**3 - 2*h**2 - 3*h + 3. Let w be k(0). Suppose -2*c - w*c = -50. Solve c*q**4 - 2*q + 5*q**5 - 3*q**2 - 3*q + q**2 - 8*q**2 = 0 for q.
-1, 0, 1
Let v(i) be the second derivative of i**5/30 + 415*i**4/18 - i**3/9 - 415*i**2/3 + 86*i - 1. Factor v(r).
2*(r - 1)*(r + 1)*(r + 415)/3
Let q(z) be the first derivative of 34*z**5/25 + 26*z**4/15 + 2*z**3/45 - 1810. Solve q(b) = 0.
-1, -1/51, 0
Let c(j) be the first derivative of j**4/5 + 388*j**3/15 - 394*j**2/5 + 396*j/5 - 493. Factor c(f).
4*(f - 1)**2*(f + 99)/5
Let c(y) be the first derivative of 633616*y**3/3 + 1592*y**2 + 4*y - 3457. Solve c(d) = 0.
-1/398
Let -417/4*p**3 - 15*p**5 - 429/4*p**4 + 9*p - 3*p**2 + 0 = 0. Calculate p.
-6, -1, -2/5, 0, 1/4
Let s(w) be the first derivative of w**7/1680 + w**6/576 - 7*w**5/960 - w**4/96 - 44*w**3/3 + 138. Let y(a) be the third derivative of s(a). Factor y(n).
(n - 1)*(n + 2)*(4*n + 1)/8
Let h be (136/16 + -8)/(2/(-220)). Let n be (h/(-25) + -3)/(8/(-20)). Find w such that -2/7 + 2/7*w**n + 0*w = 0.
-1, 1
Suppose -2*g - 4*d + 20 = g, -3*g - 2*d = -16. Suppose -3 = -g*h + 9. Factor -45 + 10*z - 110*z - 65*z**2 - 31*z + 11*z - 10*z**h.
-5*(z + 3)**2*(2*z + 1)
Let f(o) be the first derivative of -o**4/42 - 22*o**3/21 + 107*o**2/7 - 82*o/3 - 9700. Find y such that f(y) = 0.
-41, 1, 7
Let d be 0 + 3 - (-6 + 4 + 1). Factor 3*u**4 + 2*u**4 - 20*u**2 + 5*u**4 - 5 - 42*u**3 + 26*u - u**d.
(u - 5)*(u + 1)*(3*u - 1)**2
Factor -29/10*p**3 + 0 + 1/2*p - 12/5*p**2.
-p*(p + 1)*(29*p - 5)/10
Let h = -110 - -113. Factor 2556*r**2 - 2491*r**2 - 4*r**3 - r**h.
-5*r**2*(r - 13)
Let s = 744 + -740. Let -68*n + n**3 - 60 - 5*n**3 + 136*n - s*n**2 = 0. Calculate n.
-5, 1, 3
Factor -27/5*s**3 - 57/5*s - 1/5*s**4 + 198/5 - 113/5*s**2.
-(s - 1)*(s + 3)**2*(s + 22)/5
Let x be ((-11)/(55/(-10)))/((-1)/(-10)). Factor -6*u - x*u - 8*u**2 + 0*u**2 - 2*u.
-4*u*(2*u + 7)
Suppose 16 = 5*n - n. Suppose -d = -0*d - n*u - 38, 5*u = d - 42. Factor -m**2 - m**2 - 24*m + d*m.
-2*m*(m + 1)
Factor 63/4*v**2 - 249/4*v - 3.
3*(v - 4)*(21*v + 1)/4
Let k(c) be the first derivative of 7*c**5/100 + 33*c**4/40 - c**3 + 13*c**2/2 - 2*c - 52. Let f(w) be the second derivative of k(w). Factor f(y).
3*(y + 5)*(7*y - 2)/5
Let q(n) be the second derivative of -n**5/100 + 801*n**4/10 - 1283202*n**3/5 + 2055689604*n**2/5 - 2*n - 376. Factor q(a).
-(a - 1602)**3/5
Let m(g) be the first derivative of -4*g**3/9 + 2*g**2/3 + 2024*g/3 + 5205. Factor m(x).
-4*(x - 23)*(x + 22)/3
Let w(m) be the first derivative of m**6/12 - 8*m**5/5 + 35*m**4/4 - 2*m**3/3 - 287*m**2/4 - 98*m + 7644. Solve w(r) = 0 for r.
-1, 4, 7
Let y(i) be the second derivative of -11/3*i**3 + 8*i - 3 + i**2 + 121/24*i**4. Factor y(k).
(11*k - 2)**2/2
Let q(i) = 3*i**2 + 49*i - 375. Let r(a) = 4*a**2 + 42*a - 376. Let k(u) = 6*q(u) - 5*r(u). Determine w, given that k(w) = 0.
5, 37
Let w(a) = -a**5 + a**4 - a**2 + a. Let p(q) = 18*q - 18*q**2 + 36*q**4 - 12*q**4 + 12*q**5 - 28*q**5. Let y(s) = 2*p(s) - 36*w(s). Solve y(t) = 0.
-3, 0
Suppose -2*w + 1061 - 63 = 2*m, 5*m + 4*w = 2496. Factor -131*i**3 - m*i**2 + 96*i - 65*i**3 + 584*i**2 + 16.
-4*(i - 1)*(7*i + 2)**2
Let h(w) = w**2 + 8886*w - 6588978. Let q(z) = 3*z**2 + 8883*z - 6588981. Let l(d) = -3*h(d) + 2*q(d). Find j such that l(j) = 0.
1482
Let k(b) be the first derivative of -b**4/2 + 838*b**3 - 526683*b**2 + 147120118*b + 3105. Factor k(v).
-2*(v - 419)**3
Let n(l) be the first derivative of -3*l**5/20 - 5*l**4 - 50*l**3 - 3*l - 37. Let q(h) be the first derivative of n(h). Factor q(z).
-3*z*(z + 10)**2
Let o(m) be the first derivative of -45 - 1/3*m**3 - m**2 + 3*m. Let o(x) = 0. What is x?
-3, 1
Let t(y) be the third derivative of -y**5/60 + 55*y**4/4 - 9075*y**3/2 - 4*y**2 + 585*y. Factor t(s).
-(s - 165)**2
Suppose 2*n - r - 243 = 0, 2*n - 8*r = -4*r + 252. Suppose 3*j + 111 = n. Let -4/5*l - 8/5*l**j + 0 + 2/5*l**4 + 2*l**2 = 0. Calculate l.
0, 1, 2
Let l = -27797 - -27799. Let u(a) be the third derivative of -1/10*a**5 + 0 + 3*a**l - 1/160*a**6 - 2*a**3 - 5/8*a**4 + 0*a. Let u(q) = 0. Calculate q.
-4, -2
Let l = -1647 - -1648. Let j be 5 - (30/9 + l). Solve 1/3*k - 2/3 + j*k**2 - 1/3*k**3 = 0.
-1, 1, 2
Let o = -53/90 - -151/180. Let -o*q**5 - 11/4*q**2 + 3/4*q**4 + 1/4*q**3 + 3*q - 1 = 0. What is q?
-2, 1, 2
Let y(u) be the third derivative of 1/672*u**8 + 0 - 1/210*u**7 + 1/20*u**5 + 0*u**3 + 0*u**4 + 0*u - 117*u**2 - 1/48*u**6. Factor y(g).
g**2*(g - 3)*(g - 1)*(g + 2)/2
Let s(u) be the second derivative of 75/2*u**2 + 85/6*u**3 + 5/12*u**4 - 1/4*u**5 + 0 - 134*u. Factor s(x).
-5*(x - 5)*(x + 1)*(x + 3)
Let h(x) = 5*x. Let q be h(2). Let p = -960 + 965. Solve p*w**4 + 20*w**4 + 5*w - 5*w**3 - 15*w**4 - q*w**2 = 0 for w.
-1, 0, 1/2, 1
Let p(k) = k**2 + 43*k - 203. Let g(a) = 101 - 37*a + 53 - 5*a + 48. Let i(o) = -3*g(o) - 2*p(o). Factor i(f).
-2*(f - 10)**2
Let w be -2 - (5 - (-2652)/(-392)) - -1. Let d = w - 3/196. Factor d - u + 1/4*u**2.
(u - 3)*(u - 1)/4
Let i(t) = -83*t - 162. Let x be i(-2). Solve -1/6*u**x + u**2 - 5/6 - 2/3*u**3 + 2/3*u = 0.
-5, -1, 1
Suppose 0 = -5*r - 7*q + 3*q, -2*q = -3*r + 22. Suppose r*b + 82 = 2*g, 0*g + 4*b + 51 = g. What is k in g*k - 3*k**2 - k + 0*k**2 - 75 = 0?
5
Let h = -8009/200 - -1023/25. Suppose -h*k - 1/4*k**2 - 3/8 + 5/8*k**4 + 3/4*k**3 + 1/8*k**5 = 0. Calculate k.
-3, -1, 1
Let p = 3658 - 3652. Let t(w) be the first derivative of -9 - 1/3*w**3 + w**5 + 4*w**2 - 7/4*w**4 - 1/6*w**p - 4*w. Find r such that t(r) = 0.
-1, 1, 2
Factor -864 + 19*x**3 - 3236*x + 282*x**2 + 1796*x + 14*x**3.
3*(x - 4)*(x + 12)*(11*x + 6)
Let u(c) be the second derivative of 0 + 7/8*c**3 - 9/4*c**2 - 55*c + 1/80*c**5 - 1/6*c**4. Solve u(a) = 0 for a.
2, 3
Suppose 0 = 5*q - a - 18, 3*a - 2*a = -5*q + 22. Let p be ((-11)/1 - -5)/(0 + ((-207)/(-4))