*2 + z + 0*j - 1/20*j**4 - 1/5*j**3. What is b in q(b) = 0?
-3, 0
What is y in -906*y - 2/11*y**3 + 4982/11 + 4986/11*y**2 = 0?
1, 2491
Let m be (-161486795)/(-34500) - 8/300. Factor -m - 237/2*o - 3/4*o**2.
-3*(o + 79)**2/4
Let i(d) be the first derivative of 27/2*d**2 + 3/5*d**5 - 9*d**3 + 0*d - 3/4*d**4 - 13. Factor i(h).
3*h*(h - 3)*(h - 1)*(h + 3)
Let b be (6 + (-3)/3)*(-186)/465 + 2. Suppose 6/7*r**2 + 2/7*r**3 + 4/7*r + b = 0. Calculate r.
-2, -1, 0
Let d = 251 - 247. Let s be d/(-24)*-2*12/10. Factor -8/5*z + s*z**2 + 0.
2*z*(z - 4)/5
Suppose -u = 0, 3*w - 33 - 3 = 4*u. What is v in -12*v - 6 + 2 + 4*v**3 + 0 + w = 0?
-2, 1
Let b(v) be the first derivative of 1/30*v**5 + 35 + 7/12*v**4 + 0*v + 7*v**3 + 0*v**2 + 1/1260*v**6. Let o(k) be the third derivative of b(k). Factor o(n).
2*(n + 7)**2/7
Let g(t) be the first derivative of 0*t**2 + 0*t + 9/7*t**4 - 6/35*t**5 - 10/7*t**3 + 30. Factor g(i).
-6*i**2*(i - 5)*(i - 1)/7
Let v(x) be the first derivative of 1/150*x**5 + 25 - 3/10*x**4 + 0*x + 27/5*x**3 + 35/2*x**2. Let j(r) be the second derivative of v(r). Factor j(o).
2*(o - 9)**2/5
Let t(x) = 2*x**2 + 194*x + 933. Let j be t(-5). Let s(i) be the first derivative of -4/5*i**5 + 0*i - j + 3/2*i**4 - i**2 + 0*i**3. Factor s(z).
-2*z*(z - 1)**2*(2*z + 1)
Let m = 263754 + -263752. Find n such that -16/7*n**4 - 64/7*n**3 + 8/7*n**m + 20/7*n**5 + 44/7*n + 8/7 = 0.
-1, -1/5, 1, 2
Suppose 500*a + 5*d = 496*a - 37, 13*a - 2*d = 44. Factor -a*n**2 + n**4 + 8/3 + 7/3*n**3 - 4*n.
(n - 1)*(n + 2)**2*(3*n - 2)/3
Let z(f) be the second derivative of f**9/15120 + 13*f**8/33600 - f**7/2100 - 10*f**4/3 + 13*f - 1. Let n(q) be the third derivative of z(q). Factor n(k).
k**2*(k + 3)*(5*k - 2)/5
Let p(f) be the first derivative of -f**5/25 - 19*f**4/20 - 34*f**3/15 - 23. Factor p(d).
-d**2*(d + 2)*(d + 17)/5
Let f(z) = z**2 + 9*z - 3. Let l be f(-9). Let q(c) = -c**4 + c**3 - 1. Let r(n) = -12*n**3 - 6*n**2 + 3. Let d(x) = l*q(x) - r(x). Factor d(g).
3*g**2*(g + 1)*(g + 2)
Let y(n) be the first derivative of 4*n**3/3 - 2334*n**2 + 4664*n - 3421. Find k, given that y(k) = 0.
1, 1166
Factor -1/3*s**2 + 0 - 133*s.
-s*(s + 399)/3
Let t(j) be the second derivative of -11*j**7/42 + 4*j**6/3 - 20*j**5/11 + 1977*j. Determine y, given that t(y) = 0.
0, 20/11
Let v be 1/16*4 - 21/4. Let m be 1/4*(163 + (v - -6)). Factor 20 - 120*d**2 + 40*d**2 + 45 - 28*d - m.
-4*(4*d + 3)*(5*d - 2)
Let w(a) = a - 21. Let f(q) = 4*q**2 - 2558*q + 409558. Let i(p) = -f(p) + 2*w(p). Factor i(k).
-4*(k - 320)**2
Let z(b) = 5*b**4 + 20*b**3 - 547*b**2 + 1914*b - 1820. Let h(i) = 2*i**4 + i**3 - 4*i**2 + 3*i. Let v(s) = -2*h(s) + z(s). Factor v(m).
(m - 13)*(m - 2)**2*(m + 35)
Let a(p) be the first derivative of -5/3*p**3 + 0*p + 35/2*p**2 + 45. Factor a(x).
-5*x*(x - 7)
Suppose 42/17*b**5 - 344/17*b**4 - 712/17*b - 96/17 + 790/17*b**3 - 160/17*b**2 = 0. Calculate b.
-2/3, -1/7, 2, 3, 4
Let a(u) = -258*u**3 - 16079*u**2 - 10805759*u - 2416893738. Let m(k) = 31*k**3 + 2010*k**2 + 1350720*k + 302111717. Let q(w) = -6*a(w) - 50*m(w). Factor q(y).
-2*(y + 671)**3
Let p(j) be the first derivative of 4/3*j**3 - 1/3*j**4 - 2 + 4*j - 2*j**2. Let y(t) be the first derivative of p(t). Factor y(w).
-4*(w - 1)**2
Factor 21098*b**4 - 4281*b**3 + 1295*b**5 - 63*b**2 - 93722*b**4 + 2173*b**5.
3*b**2*(b - 21)*(34*b + 1)**2
Let s(j) = 65*j**3 - 273*j**2 - 1680*j + 898. Let z(x) = 5*x**4 - 130*x**3 + 545*x**2 + 3360*x - 1795. Let h(m) = -5*s(m) - 2*z(m). Let h(f) = 0. Calculate f.
-6, 1/2, 5
Factor 4958*j - 1051*j**3 + 836 + 1053*j**3 + 52*j**2 - 5848*j.
2*(j - 11)*(j - 1)*(j + 38)
Factor 1/4*c**2 + 2798929/4 - 1673/2*c.
(c - 1673)**2/4
Let q(j) be the third derivative of -j**5/180 - 17*j**4/24 - 15*j**3 - 705*j**2. Let q(f) = 0. Calculate f.
-45, -6
Suppose -4*q = w + 5, 5*w - q = -5*q + 7. Let 6*c**w + 8*c**5 + c**4 + 11*c**5 - 20*c**5 = 0. Calculate c.
-2, 0, 3
Let w be (-64)/1680*-30 + (-8 - (-302)/42). Determine k so that -40/3*k + 400/3 + w*k**2 = 0.
20
Let d = 33 + -31. Suppose d*f = 300 - 64. Factor 18 - 4*a**3 - 44*a**2 - 75*a - f - 65*a.
-4*(a + 1)*(a + 5)**2
Let y(m) be the third derivative of m**5/360 - 31*m**4/18 + 3844*m**3/9 - 213*m**2 - 6. Factor y(j).
(j - 124)**2/6
Let h(z) be the first derivative of -z**4/20 - 56*z**3/15 - 49*z**2/10 + 66*z + 2721. Factor h(a).
-(a - 2)*(a + 3)*(a + 55)/5
Let i(f) be the third derivative of 59*f**2 + 0*f**4 + 0*f**3 - 1/30*f**6 + 0 + 1/84*f**8 + 1/15*f**5 - 2/105*f**7 + 0*f. Factor i(o).
4*o**2*(o - 1)**2*(o + 1)
Let r(b) = 6*b**2 - 18*b - 20 - 14*b - 19*b**2 - b**3. Let d be r(-10). Let 1/12*z**2 + 1/4*z**4 + 0 - 1/3*z**3 + d*z = 0. What is z?
0, 1/3, 1
Let z be 8/(-16)*(3 + -4 + (-6 - -1)). Factor 0*f**2 + 75/7*f**z + 0 - 3/7*f.
3*f*(5*f - 1)*(5*f + 1)/7
Let k(h) be the second derivative of -h**5/10 + 35*h**4/6 + 388*h**3/3 + 352*h**2 + h + 715. Factor k(j).
-2*(j - 44)*(j + 1)*(j + 8)
Let j(u) be the second derivative of -5*u - 1/24*u**4 + 11/2*u**2 + 0*u**3 + 1/240*u**5 + 0. Let t(g) be the first derivative of j(g). Factor t(c).
c*(c - 4)/4
Let p be (-24)/(-2088)*-29 + 22/12. Factor -33/2*s - p*s**2 - 15.
-3*(s + 1)*(s + 10)/2
Factor 284/9 - 46/3*l - 2/9*l**2.
-2*(l - 2)*(l + 71)/9
Suppose 3313*q + 1324*q**2 - 703*q + 809*q + 2981 + 1829*q + 2251 + 4*q**3 = 0. Calculate q.
-327, -2
Factor 14/3*k**2 + 710/3*k - 68.
2*(k + 51)*(7*k - 2)/3
Let a = 20264/43901 - 2/43901. Solve -4/13*c**2 + 2/13*c**3 + 0 - a*c = 0.
-1, 0, 3
Let x(o) = -o**3 + o**2 - 3*o + 2. Let h be x(0). Determine l so that l**3 + 2*l**2 + 32*l - 3*l**h + 2*l**2 - 34*l = 0.
-2, 0, 1
Let i(r) be the first derivative of 37 - 1/3*r + 1/9*r**3 + 0*r**2. Factor i(g).
(g - 1)*(g + 1)/3
Let 1601 - 3176 - 206*a**2 + 1591 - 820*a = 0. Calculate a.
-4, 2/103
Let c(f) = -f**3 + 14*f**2 - 21*f - 35. Let b be c(12). Let j(l) = -l**2 + 1. Let m(v) = -50*v**3 - 57*v**2 - 5*v + 2. Let d(z) = b*m(z) - 2*j(z). Factor d(w).
-5*w*(w + 1)*(10*w + 1)
Let l(b) be the third derivative of 1/5*b**5 + 0*b**3 + 0*b**4 + 7/30*b**6 + b**2 + 2/21*b**7 + 1/84*b**8 + 0*b - 63. Determine y so that l(y) = 0.
-3, -1, 0
Let q(s) = -35*s**3 - 2695*s**2 + 2005*s + 675. Let z(i) = 46*i**3 + 2695*i**2 - 2005*i - 676. Let n(r) = 6*q(r) + 5*z(r). Determine c so that n(c) = 0.
-1/4, 1, 134
Let s(m) be the third derivative of m**7/210 - m**6/10 + 9*m**5/10 - 9*m**4/2 + 27*m**3/2 + 2*m**2 + 212. Let s(t) = 0. Calculate t.
3
Determine r so that -2/5*r**4 - 426/5*r**2 + 76/5*r**3 + 6776/5 - 6424/5*r = 0.
-7, 1, 22
Suppose -42*b - 70 = -56*b. Let c be 1 + 2 - b*(-28)/70. Factor -k**3 - 1/3*k**2 + 5/6*k - 1/6*k**4 + 1/6*k**c + 1/2.
(k - 3)*(k - 1)*(k + 1)**3/6
Let f(h) be the third derivative of 0*h + 1/3*h**4 + 0 + 16/3*h**3 - 7/120*h**5 - 105*h**2 + 1/480*h**6. Let f(p) = 0. Calculate p.
-2, 8
Factor -2020/3*f**2 + 0 - 674*f + 2/3*f**3.
2*f*(f - 1011)*(f + 1)/3
Let t be 4*1/(-2*(0 + 1)). Let f be (-1 - -3) + t - -3 - -3. Factor -3*b + 4*b - 10*b**3 - 15*b**2 - f*b.
-5*b*(b + 1)*(2*b + 1)
Let c(a) be the second derivative of a**4/24 - 33*a**3/2 - 199*a**2/4 + 671*a. Let c(x) = 0. Calculate x.
-1, 199
Let j = 2183 + -2180. Let v(z) = 15*z**2 - 10*z - 85. Let r(l) = 8*l**2 - 6*l - 42. Let g(f) = f - 5. Let o be g(0). Let s(u) = j*v(u) + o*r(u). Factor s(i).
5*(i - 3)*(i + 3)
Let h(l) be the second derivative of 7*l**6/6 + 45*l**5 + 2155*l**4/12 - 115*l**3 + 5*l + 370. Determine k so that h(k) = 0.
-23, -3, 0, 2/7
Suppose -2496 = -4*w - 8*w. Solve -p**5 + 11*p**4 + p**5 + 0*p**5 + 8*p**5 + 284*p**3 + 71*p**4 + 32 + 386*p**2 + w*p = 0.
-4, -1, -1/4
Let a(y) be the second derivative of y**5/4 - 25*y**4/2 + 1476*y. Factor a(z).
5*z**2*(z - 30)
Let g(y) = -y**4 + 2*y**3 + y**2 - 4*y. Let d(p) = -120*p**4 - 1160*p**3 + 2350*p**2 - 1280*p + 220. Let c(i) = d(i) + 5*g(i). Solve c(a) = 0 for a.
-11, 2/5, 1
Let v(m) be the first derivative of -2*m**4/3 + 10*m**3/3 + 6*m**2 - 119*m + 99. Let g(z) be the first derivative of v(z). Factor g(l).
-4*(l - 3)*(2*l + 1)
Suppose -5*u - 2*u + 42 = 0. Let s(b) = -2*b**2 + 12*b + 8. Let c be s(u). Factor c*j**5 + 2*j + 2 - 2 - 6*j**5 - 4*j**3.
2*j*(j - 1)**2*(j + 1)**2
Let m(x) be the second derivative of x**4/96 - x**3/2 - 697*x**2/16 + x + 4756. Factor m(c).
(c - 41)*(c + 17)/8
Suppose -16*p + 43*p + 3