ate c.
-2/3, 1, 9
Suppose -1538 = 4*v - 5426. Factor -3*t**2 - v + 159*t + 38*t - 89*t.
-3*(t - 18)**2
Let w(g) be the second derivative of -g**5/50 + 481*g**4/15 + 321*g**3/5 - 11107*g. Let w(q) = 0. Calculate q.
-1, 0, 963
Let a(z) = -3*z**3 + 14 + 0*z + 30*z**2 - 9*z**2 - 12*z**4 - 23 + 3*z. Let x(l) = l**4 - 2*l**2 + 1. Let f(s) = -2*a(s) - 22*x(s). Factor f(t).
2*(t - 1)*(t + 1)**2*(t + 2)
Suppose 0*y - 3*y = -15, 270 = 5*t - 5*y. Let c = t + 137. Let -42*v**2 - c*v**3 + 320*v**4 + 80*v - 105*v**2 - 100*v**5 - 3 + 11*v**2 + 35 = 0. Calculate v.
-2/5, 1, 2
Let g be 27 + -25 - (412/180 + (-14)/35). Factor g*f**2 - 13/9 - 4/3*f.
(f - 13)*(f + 1)/9
Let m(g) be the second derivative of 9*g**5/20 + 31*g**4/4 + 31*g**3 - 84*g**2 - 8*g - 6. Determine n, given that m(n) = 0.
-7, -4, 2/3
Let r(m) = -84*m**3 + 320*m**2 - 248*m - 104. Let b(s) = 56*s**3 - 213*s**2 + 165*s + 69. Let p(w) = -8*b(w) - 5*r(w). Find x, given that p(x) = 0.
-2/7, 2
Let r = -395 + 397. Factor 78*b**3 + 178*b**3 + 2*b**3 + r*b**5 - 51 - 52*b + 107*b**4 + 152*b**2.
(b + 1)**3*(b + 51)*(2*b - 1)
Factor 107*p**2 - 700 + 156051*p**3 - 360*p + 238*p**2 - 156046*p**3.
5*(p - 2)*(p + 1)*(p + 70)
Let h(z) be the third derivative of -28*z**2 + 4 - 1/45*z**5 - 5/9*z**4 + 0*z - 2*z**3. What is r in h(r) = 0?
-9, -1
Suppose -7 = l + 425*a - 428*a, -5*a + 9 = -3*l. Suppose 12/5*w - 8 - 12/5*w**3 + 44/5*w**l - 4/5*w**4 = 0. Calculate w.
-5, -1, 1, 2
Let j(b) be the second derivative of -1/10*b**5 + 0*b**2 + 1/9*b**4 - 1/126*b**7 - 1/18*b**6 + 4/9*b**3 + 17*b + 0. Find g such that j(g) = 0.
-2, 0, 1
Let a = -52 - 52. Let t = a + 223/2. Factor 0 + 3/4*p**2 + t*p.
3*p*(p + 10)/4
Let u = 338 - 336. Suppose 624*s**u - 624*s**2 + 4*s**4 = 0. Calculate s.
0
Let b(a) = a**2 - 3*a - 9. Let v be b(5). Let f = 1 + v. Factor 3*j**f - 15*j**3 + 257*j**4 - 272*j**4 - 5*j**5 - 8*j**2.
-5*j**2*(j + 1)**3
Let g(v) = -6*v + 26. Suppose -p - 4*s + 20 = 0, 12 = 3*p - 4*p + 4*s. Let b be g(p). Factor 4*c + 2*c**b + 4*c**5 - 2*c**5 - 4*c**3 + 0*c - 2*c**3 - 2*c**4.
2*c*(c - 2)*(c - 1)*(c + 1)**2
Let -315/4*z**2 - 3*z**4 - 201/4*z - 33/4 - 159/4*z**3 = 0. Calculate z.
-11, -1, -1/4
Factor 1198 + 77*v**2 - 1064*v**2 + 47*v**2 + 100*v**3 - 1207 + 2713 + 1664*v.
4*(v + 1)*(5*v - 26)**2
Let q = -3716 + 89185/24. Let u(a) be the third derivative of 0 + 8*a**2 + 1/30*a**5 - q*a**4 + 0*a**3 - 1/120*a**6 + 0*a. Factor u(i).
-i*(i - 1)**2
Let f(t) = -1433 - 25*t + 3*t**3 - 22*t**2 - t**3 + 1445. Let l be f(12). Let -2/3*h**2 - 2/3*h**3 + l + 0*h = 0. What is h?
-1, 0
Let k(c) be the first derivative of -c**3/3 + 14*c**2 - 96*c - 1130. Suppose k(t) = 0. What is t?
4, 24
Let o(c) be the second derivative of -c**5/60 - c**4 - 23*c**3/6 - 79*c**2/2 + 24*c - 3. Let f(d) be the first derivative of o(d). Factor f(h).
-(h + 1)*(h + 23)
Let j(g) be the third derivative of -1/3*g**4 + 1/4*g**3 + 25*g + 3*g**2 + 1/24*g**5 + 0. Factor j(n).
(n - 3)*(5*n - 1)/2
Let r(s) be the first derivative of -35/6*s**2 + 138 - 8*s + 4/3*s**3 + 17/6*s**4 + 4/5*s**5 + 1/18*s**6. Solve r(w) = 0.
-8, -3, -1, 1
Let n be (3 + 29/3)*15/10. Factor n*d + 2*d - 16*d**2 - 41*d**3 + 17*d + 39*d**3 - 20.
-2*(d - 1)**2*(d + 10)
Suppose -2*l - u + 6 = 0, -l - 5*u - 3 = 3. Let g be 1/(35/1106) + l/10. Suppose 106*a**3 - g*a - 101*a**3 + 12*a = 0. What is a?
-2, 0, 2
Let m(b) = b**2 - 2. Let o(i) = -2*i**2 - 25*i - 6. Let w be o(-12). Let p(y) = -w - 1 - 18 + 20*y. Let a(d) = -5*m(d) + p(d). Find k, given that a(k) = 0.
1, 3
Let v = -1948 - -1950. Let s(i) be the second derivative of v*i**2 + 3/4*i**4 + 0 - 1/30*i**6 + 1/20*i**5 + 11/6*i**3 + 26*i. Factor s(p).
-(p - 4)*(p + 1)**3
Suppose 11*y = 8*y + 12, -2*y = q - 3. Let m(f) = f**3 + 3*f**2 - f + 45. Let u be m(q). Factor -2*w**3 + 0*w - 1/2*w**4 + u - 3/2*w**2.
-w**2*(w + 1)*(w + 3)/2
Let c(f) = 46*f**2 + 6314*f - 2532. Let i(b) = -6*b**2 + 2*b. Let t(v) = 2*c(v) + 12*i(v). Solve t(w) = 0.
-633, 2/5
Let p(w) = 4*w**3 - 72*w**2 + 516*w - 400. Let r(s) = -9*s**2 + s + 2. Let v(x) = p(x) + 8*r(x). Solve v(q) = 0.
1, 3, 32
Let d be (-12)/(-30) - 138/(-30). Solve -13*u**5 + 20*u + 88*u**d - 87*u**2 - 95*u**3 - 53*u**2 + 140*u**4 = 0.
-2, -1, 0, 2/15, 1
Factor 0 + 1/5*g**3 - 17/5*g**2 + 52/5*g.
g*(g - 13)*(g - 4)/5
Factor -176558481000/13*h + 94416300/13*h**2 - 22440/13*h**3 + 2/13*h**4 + 123811634801250/13.
2*(h - 2805)**4/13
Let v(x) be the second derivative of 0 + 2/5*x**6 + 33/20*x**5 - 166*x + 3*x**2 + 1/28*x**7 + 17/4*x**3 + 7/2*x**4. Find o, given that v(o) = 0.
-4, -1
Let y(r) be the second derivative of r**5/15 - r**4/2 + 4*r**3/3 - 56*r**2 - 8*r + 1. Let z(h) be the first derivative of y(h). Solve z(a) = 0.
1, 2
Suppose -6*s - 65 = -7*s - 4*r, 3*s = -2*r + 155. Factor 49 - 8*y + 0*y + 17*y**2 - s - 2*y**2 + 2*y**3.
y*(y + 8)*(2*y - 1)
Let t(c) be the third derivative of 7*c**6/200 + 34*c**5/25 + 183*c**4/40 + 27*c**3/5 + 2057*c**2. Factor t(n).
3*(n + 1)*(n + 18)*(7*n + 3)/5
Let u(c) = -5*c - 370. Let d be u(-75). Let o(x) be the first derivative of -1/18*x**4 + 0*x + 4/27*x**3 + 9 - 2/45*x**d + 0*x**2. Factor o(l).
-2*l**2*(l - 1)*(l + 2)/9
Suppose -7 = -5*r - 47. Let a be (-12)/r*(-63)/(-108). Factor n**2 + 1/4 + a*n + 3/8*n**3.
(n + 1)**2*(3*n + 2)/8
Let b be 133 + -141 + 0/(-3) + 19. Let w(i) be the first derivative of 8/5*i**5 - 2*i**2 - 8/3*i**3 - b + 0*i + 2/3*i**6 + 0*i**4. Factor w(x).
4*x*(x - 1)*(x + 1)**3
Let x(j) = 4*j**3 - 4*j**2 - 5*j - 7. Let o(p) = 3*p**3 - 4*p**2 - 5*p - 6. Let h = -25 + 33. Suppose -18 = h*b + 14. Let w(m) = b*x(m) + 5*o(m). Factor w(q).
-(q + 1)**2*(q + 2)
Let t(z) be the second derivative of -3*z**7/1120 + 29*z**6/960 - 3*z**5/80 - 11*z**4/12 - z**3/6 - 58*z. Let w(i) be the third derivative of t(i). Factor w(k).
-3*(k - 3)*(9*k - 2)/4
Let u(o) = 24*o**2 + 11202*o + 1292007. Let q(l) = 3*l**2 + 1400*l + 161500. Let v(s) = 33*q(s) - 4*u(s). Factor v(w).
3*(w + 232)**2
Let m(s) = -s**2 + 2*s - 1. Let q(t) = -t**2 - 41*t + 84. Let v(p) = -10*m(p) + 5*q(p). Factor v(g).
5*(g - 43)*(g - 2)
Suppose -1/2*v**3 - 161/2*v**2 + 0 - 159*v = 0. What is v?
-159, -2, 0
Let r(z) = -z**4 - 9*z**3 - 6*z**2 + 32*z - 32. Let b(h) = -h**3 - 3*h**2. Let l(s) = -4*b(s) + r(s). Let l(c) = 0. What is c?
-4, 1, 2
Let j(y) be the third derivative of -y**7/70 + 49*y**6/40 - 23*y**5/10 - 12*y**4 - 2817*y**2. Factor j(a).
-3*a*(a - 48)*(a - 2)*(a + 1)
Let z(k) be the second derivative of k**8/336 + 23*k**7/840 - k**6/9 + k**5/10 - 5*k**3/3 + 54*k. Let x(s) be the second derivative of z(s). Factor x(h).
h*(h - 1)*(h + 6)*(5*h - 2)
Suppose -4*k + 2*k = -54. Let 26*o**4 - 1142*o**2 - 42875 + 1217*o**2 - 106*o**3 - k*o**4 - 46550*o - 3855*o**2 = 0. Calculate o.
-35, -1
Let d(h) be the third derivative of h**5/480 - 71*h**4/48 + 47*h**3/4 - h**2 - 344. Factor d(l).
(l - 282)*(l - 2)/8
Let s(i) be the second derivative of -289*i**6/10 + 19873*i**5/20 + 1172*i**4/9 + 46*i**3/9 + 4769*i. Factor s(r).
-r*(r - 23)*(51*r + 2)**2/3
Let j(o) be the third derivative of 1/54*o**5 + 0*o - 1/945*o**7 + 0*o**6 + 0*o**4 - o**2 - 4/27*o**3 - 11. Find u, given that j(u) = 0.
-2, -1, 1, 2
Let g(c) = -c**3 - 82*c**2 - 172*c - 957. Let k be g(-80). Find w such that -8/13 - 44/13*w**2 + 34/13*w + 18/13*w**k = 0.
4/9, 1
Let b(q) = q**4 + 3*q**3 - q**2 + q + 5. Let n(g) = -26*g**4 + 614*g**3 - 2318*g**2 + 1194*g + 554. Let m(r) = -2*b(r) + n(r). Find t, given that m(t) = 0.
-2/7, 1, 4, 17
Suppose 5*y + 4*s = -12, 4*y + 2*s + 4 = -2. Suppose -4*k + 36 = -5*r, -4*r - 28 = -3*k - y*r. Factor 4/5 - 12/5*n + 13/5*n**2 - 6/5*n**3 + 1/5*n**k.
(n - 2)**2*(n - 1)**2/5
Let v(n) = -n**2 + n + 1. Suppose 12*j + 14 = -2*j. Let s(d) = 20*d**2 + 20*d - 115. Let h(q) = j*s(q) - 25*v(q). Find g such that h(g) = 0.
3, 6
Suppose -987*u + 27 = -984*u. Suppose 13*a**2 + 8 - 3*a**2 - 3*a**2 - 2*a**2 - 4*a**2 + u*a = 0. Calculate a.
-8, -1
Suppose -1420*o - 82*o - 285*o**2 + 145*o**2 + 138*o**2 = 0. What is o?
-751, 0
Let y(z) be the third derivative of 8 + 1/3*z**5 + 1/30*z**6 + 0*z**3 + 2/3*z**4 + 0*z + 10*z**2. Suppose y(v) = 0. What is v?
-4, -1, 0
Let s = 91 - 69. Find n, given that n**2 + 31*n**3 + 3*n**2 + n**2 - s*n**3 + 4*n**4 = 0.
-5/4, -1, 0
Let u = -17710016/17 + 1041770. Factor -2/17*g**2 + 76/17*g - u.
-2*(g - 37)*(g - 1)/17
