ative of v**5 + 15*v**4/4 - 201. Let h(m) = 0. What is m?
-3, 0
Let q(p) = 6*p + 43. Let g be q(-13). Let v be (-42)/g*10/6. Factor -3*f**3 + 4*f + 0*f**3 + f**3 - 3*f**2 + 5*f**v.
-2*f*(f - 2)*(f + 1)
Let c(b) = -b**3 + 27*b**2 - 251*b + 229. Suppose 8 = 3*q + f, -4*q - 5*f + 9 + 20 = 0. Let r(s) = s**2 - s - 1. Let u(o) = q*c(o) + 4*r(o). Factor u(i).
-(i - 15)**2*(i - 1)
Let v be ((-140)/(-945))/(14/63). Factor 0 + v*c**2 - 4/3*c.
2*c*(c - 2)/3
Let w(t) be the third derivative of 1/9*t**3 + 1/24*t**4 + 5*t**2 - 1/90*t**6 - 8*t + 0*t**7 - 1/90*t**5 + 1/1008*t**8 + 0. Let w(o) = 0. What is o?
-1, 1, 2
Let o(q) = -q - 9*q + 4 + 0 + 2*q. Let d be o(0). Factor 4*h**3 - 10*h**3 + 5*h**3 + h**d.
h**3*(h - 1)
Let w(o) = 2*o**5 + 34*o**4 + 72*o**3 + 6*o**2 + 36*o + 6. Let p(x) = -3*x**5 - 35*x**4 - 72*x**3 - 7*x**2 - 42*x - 7. Let f(z) = -6*p(z) - 7*w(z). Factor f(n).
4*n**3*(n - 9)*(n + 2)
Factor -352*d + 111*d**3 + 72*d**2 + 111*d**3 + 111*d**3 - 434*d**3 + 105*d**3.
4*d*(d - 4)*(d + 22)
Let j(y) be the third derivative of y**6/360 - 17*y**5/180 + 79*y**4/72 - 7*y**3/2 - 4*y**2 + 199*y + 1. Suppose j(r) = 0. Calculate r.
1, 7, 9
Let i(h) be the first derivative of -h**3 + 18*h**2 - 33*h - 1191. Factor i(w).
-3*(w - 11)*(w - 1)
Let g be 392/48 + -6 - 1/6. Let w be (0/(14 + -2))/1. Solve w*i + 4/3*i**g - 16/3 = 0.
-2, 2
Let w(s) be the third derivative of -s**6/24 + 31*s**5/12 + 75*s**4 + 163*s**2 - 2*s. Solve w(u) = 0 for u.
-9, 0, 40
Let s(o) = 4*o**2 + 3*o - 2. Let z(q) = 9*q**2 + 7*q - 5. Let a(p) = -13*s(p) + 6*z(p). Let h be a(2). Factor h*t + 6*t - 9*t**3 + 5*t**3.
-4*t*(t - 2)*(t + 2)
Factor 20*l**2 - 375/2 + l**3 - 25*l - 1/2*l**4.
-(l - 5)**2*(l + 3)*(l + 5)/2
Let f = -12883 + 12883. Let k(r) be the first derivative of 2 + 5/9*r**3 + 0*r + f*r**2. Solve k(u) = 0.
0
Find y, given that -52/7*y**4 - 124/7*y**3 + 0*y + 180/7*y**2 - 4/7*y**5 + 0 = 0.
-9, -5, 0, 1
Factor 3315/7*j + 0 - 3/7*j**3 - 144/7*j**2.
-3*j*(j - 17)*(j + 65)/7
Let y(v) = -3*v**4 + 5*v**2 + 2*v + 4. Suppose -124*h + 116*h = 32. Let k(u) = 4*u**4 - 7*u**2 - 2*u - 5. Let g(j) = h*k(j) - 5*y(j). Let g(p) = 0. What is p?
-2, 0, 1
Determine l, given that -3624*l + 3592*l - 2 - 2*l**2 + 2*l**3 + 30 + 4 = 0.
-4, 1, 4
Let d(z) = 3*z**2 + 129*z + 258. Let s(p) = p**2 + p. Let w(j) = -d(j) + 6*s(j). What is m in w(m) = 0?
-2, 43
Let o(y) be the second derivative of 2*y**6/15 - 151*y**5/5 + 1823*y**4 + 34958*y**3/3 + 23716*y**2 - 2015*y. Factor o(m).
4*(m - 77)**2*(m + 1)*(m + 2)
Let m be (-1)/(63/498) + 8. Let w(r) be the first derivative of 0*r**2 + 8 + m*r**3 - 2/7*r. Let w(c) = 0. What is c?
-1, 1
Let x(m) be the first derivative of 0*m**2 + 0*m - 4/15*m**3 + 1/10*m**4 + 49. Factor x(b).
2*b**2*(b - 2)/5
Let o(w) be the first derivative of w**4/16 + w**3/2 + 9*w**2/8 + 815. Factor o(k).
k*(k + 3)**2/4
Let c be (-1)/2 - 167643/(-90). Let n = c + -1861. Factor 2/5*p**3 + 2*p**2 + n + 14/5*p.
2*(p + 1)**2*(p + 3)/5
Let s(i) be the first derivative of 73 + 28/3*i**3 + 3*i**4 - 80*i - 16*i**2. Let s(d) = 0. Calculate d.
-2, 5/3
Let x(a) = a**2 + a + 1. Let b = 191 - 192. Let f(g) = 6*g**2 + 91*g + 1854. Let o(r) = b*f(r) + 5*x(r). Solve o(c) = 0 for c.
-43
Suppose 58*t = -5*l + 53*t, 3*l = 4*t + 14. Suppose l*x = x - c, 0 = 3*x - 7*c. Find y such that -1/4*y**4 + x - 27*y**2 + 54*y + 9/2*y**3 = 0.
0, 6
Let p(r) be the third derivative of -2*r**2 + 21*r + 50653/45*r**3 + 0 + 37/150*r**5 - 1369/60*r**4 - 1/900*r**6. Suppose p(i) = 0. Calculate i.
37
Suppose -315*g = -310*g + 420. Let w = g + 87. Find t, given that -2/9*t**2 + 8/9*t - 8/9*t**w + 0 + 2/9*t**4 = 0.
-1, 0, 1, 4
Suppose 17*y - 59269 = 47117. Solve 1094 - 150*o + 31 - y*o**2 + 6263*o**2 = 0 for o.
15
Let y = 261 + -246. Let t(z) = -z**2 + 27*z - 34. Let w(r) = 3*r**2 - 108*r + 135. Let u(q) = y*t(q) + 4*w(q). Let u(s) = 0. Calculate s.
-10, 1
Let o be (0 + -1)/(-18 + 17). Let t be (((-2)/(-4))/o)/(1/4). Factor 15*d + 2*d**2 - 36*d + t*d**3 + 0*d**3 + 19*d - 2.
2*(d - 1)*(d + 1)**2
Let i be 63/6*(4760/(-561))/(-70). Solve 16/11*k - 2/11*k**5 + 2/11*k**2 - 10/11*k**4 + 8/11 - i*k**3 = 0 for k.
-2, -1, 1
Let v(h) = 2*h**3 + 7*h**2 - 25*h - 70. Let l be v(4). Suppose 2*t - 95 = n, -2*t + 6*t - n = 187. Let 5*f**2 + 39*f + 10 + t*f - l*f = 0. Calculate f.
-2, -1
Let h(m) be the third derivative of m**6/540 + 43*m**5/270 + 83*m**4/108 + 41*m**3/27 - 17*m**2 + 2. Determine o, given that h(o) = 0.
-41, -1
Let n(i) be the third derivative of -i**6/540 + 11*i**5/270 - 2*i**4/27 - 20*i**3/27 - i**2 - 28*i. Suppose n(x) = 0. What is x?
-1, 2, 10
Let g(n) be the first derivative of n**4/84 - 31*n**3/21 + 961*n**2/14 + 24*n - 101. Let a(k) be the first derivative of g(k). Factor a(v).
(v - 31)**2/7
Let h = -14587/5 + 14589/5. Factor 0 - h*s + 1/5*s**3 + 1/5*s**5 - 3/5*s**2 + 3/5*s**4.
s*(s - 1)*(s + 1)**2*(s + 2)/5
Suppose 3*r = -4*s + 12, 3*s - 3*r = -0*r + 9. Factor 6*i + s*i + i**2 - 11*i.
i*(i - 2)
Let t(o) be the first derivative of -2*o**5/5 - 13*o**4/2 + 98*o**3/3 + 13*o**2 - 96*o - 4589. Determine x so that t(x) = 0.
-16, -1, 1, 3
Let a(j) be the third derivative of -j**7/168 - j**6/18 - 5*j**5/24 - 5*j**4/12 + 7*j**3/2 + 31*j**2. Let s(t) be the first derivative of a(t). Factor s(r).
-5*(r + 1)**2*(r + 2)
Let j(w) = -2*w**4 + 600*w**3 - 43200*w**2 - 135006*w + 6. Let g(i) = -i**3 + i - 1. Let v(s) = 6*g(s) + j(s). What is n in v(n) = 0?
-3, 0, 150
Let z(d) be the second derivative of 4/7*d**3 + d - 10/7*d**2 - 1/21*d**4 + 12. Factor z(j).
-4*(j - 5)*(j - 1)/7
Let u be 4/(-39) + 451200/18720. Factor -1/3*t**4 - 44*t - u - 74/3*t**2 - 5*t**3.
-(t + 1)*(t + 2)*(t + 6)**2/3
Suppose -269378 - 1/2*f**2 - 734*f = 0. What is f?
-734
Let w(x) be the first derivative of -x**4/20 + 4*x**3/15 + 9*x**2/10 - 36*x/5 + 705. Factor w(b).
-(b - 4)*(b - 3)*(b + 3)/5
Let q(r) = 9*r**3 - 9*r**2 - 18*r - 6. Let x = 6266 - 6261. Let u(v) = 2*v**3 - 2*v**3 - 17*v - 5 + 8*v**3 - 9*v**2. Let g(d) = x*q(d) - 6*u(d). Factor g(o).
-3*o*(o - 4)*(o + 1)
Suppose -12*p = -46*p + 102. Suppose -5*o**5 - 8*o**p + 5*o**3 + 13*o**3 + 5*o**4 = 0. What is o?
-1, 0, 2
Let w be -9 - 2 - 6735638/(-455). Let d = -14747 + w. Find s, given that -27/5*s**4 + 9/5*s**3 + 72/5 - d*s + 186/5*s**2 = 0.
-3, 2/3, 2
Let a(l) be the first derivative of 0*l**2 - 5/6*l**6 - 327 + 0*l - 4*l**5 - 10*l**3 + 55/4*l**4. Factor a(j).
-5*j**2*(j - 1)**2*(j + 6)
Let t(k) be the second derivative of -21*k - 3/70*k**5 + 1/105*k**6 + 1/42*k**4 + 0*k**3 + 0 + 21/2*k**2. Let p(s) be the first derivative of t(s). Factor p(l).
2*l*(l - 2)*(4*l - 1)/7
Let y(h) be the second derivative of -h**4/4 - 34*h**3 - 1734*h**2 + 5*h + 120. What is k in y(k) = 0?
-34
Let n be (12/(-8))/((-273048)/45536 + 6). Let b = n - -407. Factor b*p**2 + 0 - 15/7*p.
3*p*(p - 5)/7
Let j(y) be the second derivative of y**4/60 - 67*y**3/15 - 411*y**2/10 - 4313*y. Solve j(b) = 0 for b.
-3, 137
Let z(p) be the third derivative of -p**5/210 + 20*p**4/21 - 148*p**3/7 - 102*p**2 - 12*p. Factor z(g).
-2*(g - 74)*(g - 6)/7
Let u(l) = 18 - 4 - 4 + l. Let g be u(0). Factor -64*o**3 - 297*o - 306*o**2 - 81*o - 108 - g*o**4 - 30*o**3.
-2*(o + 3)**3*(5*o + 2)
Determine b so that -848/5*b - 228/5*b**2 - 4/5*b**3 + 0 = 0.
-53, -4, 0
Let n(q) be the third derivative of -q**7/70 + 47*q**6/200 - 22*q**5/25 - 23*q**4/10 + 24*q**3/5 + 126*q**2 - 2*q. Determine i, given that n(i) = 0.
-1, 2/5, 4, 6
Suppose -20/19*v**3 - 22/19 - 2/19*v**4 + 24/19*v**2 + 20/19*v = 0. What is v?
-11, -1, 1
Let j(o) be the first derivative of o**4/4 - 116*o**3/3 - 3978. Factor j(c).
c**2*(c - 116)
Let u = 3385 + -3382. Let m(b) be the second derivative of 0*b**u + 22*b - 1/6*b**4 + 0 + 1/90*b**6 + 0*b**2 + 1/60*b**5. Find a such that m(a) = 0.
-3, 0, 2
Suppose 16*a = 18*a + 4*b - 24, -4*a + 45 = 5*b. Let d be (-2 - 44/(-12))*56/a. Factor 100*i + 176/3*i**2 + d*i**3 + 24.
4*(i + 3)**2*(7*i + 2)/3
Find j such that 99*j - 5*j**2 + 154*j + 421 + 122*j + 349 = 0.
-2, 77
Let p(u) be the third derivative of -1/15*u**7 + 6*u**2 - 3*u - 11/30*u**5 - 1/6*u**4 + 0*u**3 + 0 - 4/15*u**6. Factor p(r).
-2*r*(r + 1)**2*(7*r + 2)
Find b such that -2/9*b**5 - 2/9*b**4 + 14/3*b**3 + 82/9*b**2 + 40/9*b + 0 = 0.
-4, -1, 0, 5
Factor -1135*o**3 + 593*o**2 + o + 477*o**2 + 75*o**2 - 11*o.
