*q + 2)
Suppose -2*v + 10 = -0*v. Suppose 5*l = o - 1423, -6*o - 5*l + 1373 = -v*o. Let -5*g**5 - 10*g**2 + 5*g - o + 1398 + 10*g**4 = 0. What is g?
-1, 0, 1
Let y(m) be the second derivative of m**6/30 + 4*m**5/5 + 7*m**4/2 - 196*m**3/3 - 1715*m**2/2 - 178*m + 4. Determine g, given that y(g) = 0.
-7, 5
Solve -57*b + 201*b + 34457*b**3 + 34446*b**3 - 27*b**2 + 1344 - 68906*b**3 = 0 for b.
-8, 7
Suppose -3*p - 98 = -10*p. Let q = -12 + p. Let d(m) = 20*m**2 + 16*m - 2. Let a(n) = -21*n**2 - 17*n + 1. Let c(h) = q*a(h) + 3*d(h). Factor c(k).
2*(k + 1)*(9*k - 2)
Suppose 112*f - 319308 = -319308. Factor 5/3*a**4 - a**3 - 3*a**2 + f*a - 1/3*a**5 + 0.
-a**2*(a - 3)**2*(a + 1)/3
Let z(h) be the first derivative of -3*h**5/5 - 219*h**4/4 - 411*h**3 - 1821*h**2/2 - 804*h + 414. Factor z(i).
-3*(i + 1)**2*(i + 4)*(i + 67)
Let z(c) be the first derivative of 0*c - 2/9*c**3 + 1/3*c**2 - 1/3*c**4 - 95. Determine m, given that z(m) = 0.
-1, 0, 1/2
Let y(w) be the third derivative of -17/4*w**4 + 0*w + 289/2*w**3 + 1/20*w**5 - 87*w**2 + 0. Factor y(o).
3*(o - 17)**2
Let w(k) be the first derivative of k**6/3 + 32*k**5/5 + 44*k**4 + 340*k**3/3 - 25*k**2 - 500*k - 6215. Factor w(i).
2*(i - 1)*(i + 2)*(i + 5)**3
Let x(h) = 86*h**2 + 296*h. Let a(t) = 335*t**2 + 1185*t. Let m(c) = 9*a(c) - 35*x(c). Suppose m(p) = 0. What is p?
-61, 0
Let g(t) = 2*t**2 - 23*t + 60. Suppose -251 = -21*p - 83. Let h be g(p). Let -6/7*n**3 - 2/7*n + 0 - 6/7*n**2 - 2/7*n**h = 0. Calculate n.
-1, 0
Let v(g) be the first derivative of -8*g**6/15 - 76*g**5/25 - 3*g**4/2 + 16*g**3/3 + 13*g**2/5 - 24*g/5 - 2016. What is u in v(u) = 0?
-4, -1, 1/2, 3/4
Let f(q) be the first derivative of 110 + 57122/11*q + 106/55*q**5 - 533/11*q**4 - 37349/11*q**2 - 1/33*q**6 + 19604/33*q**3. Factor f(j).
-2*(j - 13)**4*(j - 1)/11
Let o(y) be the first derivative of 4/5*y**4 + 48 + 24/5*y - 28/15*y**3 - 2*y**2. Solve o(q) = 0.
-1, 3/4, 2
Suppose 1760*y + 177 + 10*y**2 + 121*y**2 + 1567 + 321*y**2 + 4*y**3 = 0. Calculate y.
-109, -2
Let a(r) = 8*r + 405. Let p be a(-50). Let x(k) be the second derivative of 5/2*k**3 + 14*k + 1/4*k**p - 5/2*k**2 - 5/4*k**4 + 0. Suppose x(t) = 0. What is t?
1
Suppose 5*w + 58 = 298. Solve w*h - 24 - 28*h**2 - 18 + 67 + 2*h**3 - 25 = 0.
0, 2, 12
Let b(n) be the third derivative of 41*n**5 - 617*n**4/6 + 4*n**3/3 + 631*n**2. Suppose b(d) = 0. Calculate d.
2/615, 1
Find h such that 3*h**5 + 465/4*h**3 - 75*h**2 - 135/4*h**4 + 48 - 180*h = 0.
-1, 1/4, 4
Let z(m) be the second derivative of 1/2*m**2 - 11/12*m**3 + 2*m + 1/21*m**7 + 7/40*m**5 + 11/24*m**4 - 13/60*m**6 - 11. Determine y, given that z(y) = 0.
-1, 1/4, 1, 2
Let z = -2/74943 + 174869/74943. Determine m, given that -z*m**2 + 0 - 1/3*m**3 + 6*m = 0.
-9, 0, 2
Let j(r) = 24*r - 295. Let t be j(13). Let i be (1/t)/((-1)/(-19)) - 1. Factor 0*v + 0*v**4 - i*v**5 + 4/17*v**2 + 6/17*v**3 + 0.
-2*v**2*(v - 2)*(v + 1)**2/17
Let z(v) = v**2 - 10*v - 159. Let q be z(-11). Solve 21*r**2 + 22*r**2 + 98 + 0*r**2 + r**3 - 53 - q*r - 17*r = 0 for r.
-45, 1
Let a be (45/75)/((-12)/(-160)). Let w be -4 - (-6 + 4 - a). Factor 9/2 + 3/2*s**2 + w*s.
3*(s + 1)*(s + 3)/2
Let l(y) be the second derivative of -y**5/80 + 19*y**3/24 - 15*y**2/4 - 18*y - 83. Suppose l(w) = 0. Calculate w.
-5, 2, 3
Let d(c) be the third derivative of -c**6/40 + 8*c**5/5 - 165*c**4/8 + 117*c**3 - 2*c**2 + 1029*c + 2. Factor d(o).
-3*(o - 26)*(o - 3)**2
Let n(f) be the second derivative of -f**2 + 9/35*f**6 - 25*f + 62/21*f**3 + 0 - 30/7*f**4 + 81/35*f**5. Suppose n(v) = 0. What is v?
-7, 1/3
Suppose -2 = 5*f - 12. Let n be 1/2*(7 - (-2 - -7)). Factor -3 - 6 - n + 15*t + 19*t**f + 6*t**2.
5*(t + 1)*(5*t - 2)
Let d be 20/25*(-5)/(-2). Let u(m) = -m**3 - m**2 + m - 1. Let h(j) = 4*j**3 + 13*j - 11. Let r(f) = d*h(f) - 22*u(f). Determine k so that r(k) = 0.
-2/5, -1/3, 0
Let c be -7 - (-6)/(5/3 - (-18 - -19)). Determine m, given that c*m + 1/3*m**2 - 7/3 = 0.
-7, 1
Suppose 2*i + 9 = k, -i = -5*i - 4*k - 12. Let z be 10 + (4 + i - 7). Suppose -7/4*x - 5/4*x**z - 1/4*x**4 - 9/4*x**2 - 1/2 = 0. What is x?
-2, -1
Factor -37538/5*t**2 - 2/5 + 548/5*t.
-2*(137*t - 1)**2/5
Let g be ((-48)/8 - 1) + 9. Let d be (1/g - 3)/(6/(-12)). Factor 1/4*t**4 - 1/2*t**2 + 1/4*t + 1/4 - 1/2*t**3 + 1/4*t**d.
(t - 1)**2*(t + 1)**3/4
Let o(y) = -3*y**2 - 7*y + 9. Let w be o(-3). Let x be w/18 + (-1338)/(-180). Find n such that 78/5*n**2 + x*n + 4/5 = 0.
-1/3, -2/13
Let d(m) be the first derivative of -7*m**2 - 1/4*m**4 + 19/6*m**3 - 108 - 1/10*m**5 + 6*m. Factor d(l).
-(l - 2)*(l - 1)**2*(l + 6)/2
Let l(u) = -10*u**4 - 268*u**3 - 173*u**2 + 121*u. Let k(x) = 5*x**4 + 135*x**3 + 86*x**2 - 60*x. Let v(o) = -9*k(o) - 4*l(o). Suppose v(n) = 0. Calculate n.
-28, -1, 0, 2/5
Let m(n) be the second derivative of n**7/105 + n**6/20 - 2*n**5/15 - n**4 - 3*n**2/2 + n + 6. Let a(l) be the first derivative of m(l). Factor a(y).
2*y*(y - 2)*(y + 2)*(y + 3)
Let -23/4*l**3 + 13/2*l**2 + 1/4*l**5 + 11*l - 2*l**4 - 10 = 0. What is l?
-2, 1, 10
Let f(z) = -445*z**2 - 439*z + 139. Let q(l) = -l**2 - l - 19. Let i(p) = -2*f(p) - 14*q(p). Factor i(x).
4*(x + 1)*(226*x - 3)
Factor -28/5*v**4 + 0 + 1/5*v**5 + 196/5*v**3 + 0*v**2 + 0*v.
v**3*(v - 14)**2/5
Let l(d) be the first derivative of 20*d**3/21 + 11*d**2/7 + 2*d/7 - 3090. Factor l(s).
2*(s + 1)*(10*s + 1)/7
Let n be ((-12)/(-90))/((2/12)/(6/12)). Let r(g) be the second derivative of -n*g**5 - 4/3*g**3 - g**2 - 14*g + 0 - 1/15*g**6 - g**4. Let r(m) = 0. Calculate m.
-1
Let s be 22/(-550)*105/(-18). Let y(b) be the third derivative of 1/12*b**6 - 17*b**2 + 0*b**3 + 0 + s*b**5 + 1/4*b**4 + 0*b + 1/105*b**7. Factor y(p).
2*p*(p + 1)**2*(p + 3)
Let d(y) = -17*y**4 + 71*y**3 + 26*y**2 - 548*y + 624. Let v(j) = -6*j**4 + 24*j**3 + 9*j**2 - 183*j + 207. Let x(w) = -3*d(w) + 8*v(w). Factor x(c).
3*(c - 6)*(c - 2)**2*(c + 3)
Let w(z) = -6*z**2 + 5*z + 3. Let d(y) be the first derivative of y**3/3 - y + 45. Let a(m) = 3*d(m) + w(m). Determine p so that a(p) = 0.
0, 5/3
Let l(k) be the third derivative of 0*k + 2 - 1/360*k**5 - 5/6*k**3 - 31/144*k**4 + 34*k**2. Factor l(a).
-(a + 1)*(a + 30)/6
Let h(o) = -10*o**4 - 255*o**3 - 1685*o**2 - 1445*o. Let s(f) = 15*f**4 + 382*f**3 + 2527*f**2 + 2167*f. Let j(p) = -7*h(p) - 5*s(p). Factor j(g).
-5*g*(g + 1)*(g + 12)**2
Let h(t) be the third derivative of -t**5/15 - 7*t**4/3 + 138*t**3 - 15*t**2 + 325*t. Suppose h(w) = 0. Calculate w.
-23, 9
Let o be 2 - 15/(-5) - (-29313)/(-5859). Let a = 1945/2604 - o. Factor a*j**3 + j + 0 + 2*j**2.
j*(j + 2)*(3*j + 2)/4
Let s(u) = u**4 - 83*u**3 - 282*u**2 - 395*u - 197. Let y(v) = -4*v**4 + 412*v**3 + 1408*v**2 + 1976*v + 984. Let x(q) = 24*s(q) + 5*y(q). Factor x(g).
4*(g + 1)*(g + 2)**2*(g + 12)
Factor 31*a - 252 - 1/3*a**2.
-(a - 84)*(a - 9)/3
Let t = 4 - 2. Let y = 156302/3 + -52100. Factor -4/3 + y*j + 2/3*j**t.
2*(j - 1)*(j + 2)/3
Let -137/4*i + 61/8*i**4 + 1/8*i**5 - 397/8*i**2 + 273/8*i**3 + 42 = 0. Calculate i.
-56, -6, -1, 1
Suppose 181*u - 2*x = 185*u, -3*x = -3*u + 2*x. Determine z so that 28/5*z**4 + 2/5*z**5 + 40*z**2 + 0*z + 26*z**3 + u = 0.
-5, -4, 0
Let r = 99 + -95. Let 154*a**2 - 24*a**2 - 23*a**5 + 55*a**3 - 6*a**r - 14*a**4 - 200 - 140*a + 18*a**5 = 0. Calculate a.
-5, -2, -1, 2
Factor 4/3*z**2 + 488 + 740/3*z.
4*(z + 2)*(z + 183)/3
Let n(m) = 4*m**2 - 56*m - 76. Let v(s) = s**2 - 11*s - 15. Suppose -39*q + 34*q - 55 = 0. Let h = q + 14. Let a(r) = h*n(r) - 16*v(r). Factor a(w).
-4*(w - 3)*(w + 1)
Let v(r) be the first derivative of -5*r**3/3 + 70*r**2 - 735*r + 628. Factor v(c).
-5*(c - 21)*(c - 7)
Let l(q) be the second derivative of -q**3/3 - 2*q**2 - 19*q. Let u be l(-3). Let -w**4 + w - 4 - 5*w**3 + 6*w**2 - 3*w**5 + 4*w**5 - w**u + 3*w = 0. What is w?
-2, -1, 1, 2
Let w(v) = v**3 - 12*v**2 + 10*v + 13. Let m be w(11). Suppose -3*u - 2 = 4*s, s + 8 = 4*u - m. Factor -2 - 2*c**u + c**4 + 3*c + 3*c**2 + c - 3*c**3 - c.
(c - 2)*(c - 1)**2*(c + 1)
Suppose 5*q + 10 = -5*w, 6*q + 2 = -3*w + 4*q. Let v = -283 + 3119/11. Let -2/11*r**w - 8/11*r - v = 0. What is r?
-3, -1
Suppose 58*q - 81 = 35. Let d(i) be the third derivative of -11*i**q + 1/240*i**6 + 0*i - 1/24*i**4 + 0 + 0*i**3 - 1/120*i**5. Factor d(o).
o*(o - 2)*(o + 1)/2
Let o(z) = 8856*z + 8858. Let x be o(-1). Fa