**2.
(b + 1)*(b + 14)*(25*b + 4)/3
Let n be (0/(4 - 9))/2. Suppose 4*p + 5*t = 37, n = -3*p - 5*t + t + 29. Determine z, given that -10*z**p + 2*z**2 - 3*z**2 + 9*z**3 = 0.
-1, 0
Let j(a) = a**2 + 20*a + 9. Let z(k) = 6*k**2 - 6*k + 24 - 34 - 7*k**2 - 8*k. Let u(l) = -5*j(l) - 6*z(l). What is f in u(f) = 0?
1, 15
Let m(u) = 17*u - 16. Let o(j) = 6*j - 5. Let l(g) = 3*m(g) - 8*o(g). Let c be l(3). Find i such that 0 + 2466*i**2 + c - 2467*i**2 = 0.
-1, 1
Suppose 648*s - 154*s**3 - 36*s**4 + 23*s**5 + 8*s**2 - 25*s**5 + 42*s**2 + 39*s**2 + 55*s**2 = 0. Calculate s.
-9, -2, 0, 2
Suppose -z - 523426 = -4*d, -654279 = -11*d + 6*d + 3*z. Solve -16*a**2 + 130857 - 18*a**3 - 2*a**4 - d = 0 for a.
-8, -1, 0
Let r be 14 - 25823/1360 - -5. Let v(a) be the second derivative of -35*a + 1/6*a**3 - r*a**5 + 0*a**2 + 0 + 0*a**4. Factor v(y).
-y*(y - 2)*(y + 2)/4
Let t(i) be the first derivative of 2*i**6/15 + 17*i**5/25 - 17*i**3/15 - 2*i**2/5 - 404. Find k such that t(k) = 0.
-4, -1, -1/4, 0, 1
Let h be (8 - (-323)/(-38)) + (-4)/(-6). Let v(s) be the second derivative of 0 - 1/20*s**5 + h*s**3 - 1/4*s**2 + 1/60*s**6 + 0*s**4 + 10*s. Factor v(r).
(r - 1)**3*(r + 1)/2
Let t(f) be the first derivative of f**8/168 + f**7/210 - f**6/12 + f**5/15 + f**4/3 + 74*f**3/3 - 27. Let v(u) be the third derivative of t(u). Factor v(x).
2*(x - 1)**2*(x + 2)*(5*x + 2)
Let w(g) be the first derivative of -g**6/1800 + g**5/60 - g**4/5 + 5*g**3/3 - g + 82. Let c(t) be the third derivative of w(t). Factor c(z).
-(z - 6)*(z - 4)/5
Let x(b) be the first derivative of 9 + 0*b**4 + 0*b**2 - 2*b**3 - 1/50*b**5 + 0*b + 1/900*b**6. Let m(g) be the third derivative of x(g). Factor m(t).
2*t*(t - 6)/5
Let n(r) = -r**2 + 12 + 4*r - 20 + 6. Let a be n(1). Suppose -a - o**2 - 7*o + 3*o + 3*o + 3*o = 0. What is o?
1
Let z(t) be the second derivative of t**7/294 - t**6/30 + 11*t**5/140 + 19*t**4/84 - 10*t**3/7 + 18*t**2/7 + 667*t + 2. Solve z(x) = 0.
-2, 1, 2, 3
Let x = 564/245 - 417/245. Find z, given that 4608/5*z**2 + 196608/5 - 49152/5*z - 192/5*z**3 + x*z**4 = 0.
16
Suppose -10*i**2 + 2224 - 155*i - 4433 + 5*i**3 + 2069 = 0. What is i?
-4, -1, 7
Let 1/3*l**2 - 109/3*l + 0 - 221/3*l**4 + 109*l**3 + 2/3*l**5 = 0. Calculate l.
-1/2, 0, 1, 109
Let x(n) be the second derivative of n**6/50 + 9*n**5/5 + 273*n**4/5 + 2704*n**3/5 - 498*n. What is t in x(t) = 0?
-26, -8, 0
Factor -944*x**2 - 246224 + 65093*x - 7557*x + 4*x**3 + 30928.
4*(x - 116)**2*(x - 4)
Suppose -16*s + 38 + 20*s**3 - 38*s**2 - 20*s**4 + 36 - 162 - 4*s**5 + 138*s**2 + 8 = 0. What is s?
-5, -2, -1, 1, 2
Let o(b) be the first derivative of -129*b**5/5 - 307*b**4/4 + 760*b**3/3 - 154*b**2 - 16*b - 5408. Find m such that o(m) = 0.
-4, -2/43, 2/3, 1
Let w(i) be the second derivative of -18*i + 2/9*i**2 + 1 + i**3 + 25/54*i**4. Factor w(m).
2*(m + 1)*(25*m + 2)/9
Let k(n) be the first derivative of 0*n**2 + 0*n**3 - 1/14*n**5 - 1/105*n**6 + 1/7*n**4 - 18*n - 14. Let v(l) be the first derivative of k(l). Factor v(g).
-2*g**2*(g - 1)*(g + 6)/7
Let w(z) be the third derivative of -1/1680*z**8 - 152*z**2 - 1/120*z**4 + 0*z**5 + 0*z + 1/300*z**6 + 0*z**3 + 0*z**7 + 0. Factor w(r).
-r*(r - 1)**2*(r + 1)**2/5
Suppose 1347*p + 761*p - 5049 = -2377*p + 8406. Let -1/2*f**5 + 0 - 1/2*f**p + f + 3/2*f**2 - 3/2*f**4 = 0. Calculate f.
-2, -1, 0, 1
Let a(v) = 3*v + 15. Let y be (8/(-6))/((-5)/(-15)). Let s be a(y). What is w in s*w**2 - 100*w - 336 - 147 - 17 - 8*w**2 = 0?
-10
Factor -1352*x**2 - 661*x**2 - 7056 - 343*x**2 - 184*x**3 + 447*x**2 - 4*x**4 - 543*x**2 - 7728*x.
-4*(x + 2)**2*(x + 21)**2
Let y(c) be the third derivative of c**6/144 - c**5/2 + 804*c**2. Solve y(o) = 0.
0, 36
Suppose 35 = -7*b - 182. Let x = -27 - b. Solve 4*c**5 + 16*c**2 + 7*c**3 - 4*c**x - 27*c**3 - 28*c**2 = 0 for c.
-1, 0, 3
Let i(r) be the third derivative of r**5/60 + 5*r**4/12 + 25*r**3/6 + 1691*r**2. Factor i(m).
(m + 5)**2
Let l(w) be the third derivative of -1/7*w**3 + 59*w**2 - 1/210*w**5 - 5/84*w**4 + 0*w + 1/420*w**6 + 0. What is t in l(t) = 0?
-1, 3
Solve 5*w**4 + w - 16*w**4 + 5*w - w**4 + 9 + 15*w**4 - 6*w**3 - 12*w**2 = 0 for w.
-1, 1, 3
Let v be (-4 - 2870/(-720))*-3. Let u(a) be the third derivative of -a**2 - v*a**6 + 0 + 0*a + 1/6*a**3 + 1/16*a**4 - 3/40*a**5. Factor u(c).
-(c + 1)*(2*c - 1)*(5*c + 2)/2
Let g be (-14)/133 - (-4)/38. Let u(f) be the first derivative of -4/5*f**5 + 4/3*f**3 + 2 + 0*f**2 + f**4 + g*f - 2/3*f**6. Solve u(l) = 0.
-1, 0, 1
Suppose -15*q + 55 = -10*q. Suppose -w + q = 4*c, 4*c - 12*w - 14 = -14*w. Solve 2*g + 2/7*g**c + 0 = 0 for g.
-7, 0
Let 48 + 46*t - 38*t**2 - 45/2*t**3 + 13*t**4 - 1/2*t**5 = 0. Calculate t.
-1, 2, 24
Determine k, given that -580/3*k + 586/3*k**2 - 2/3*k**3 - 1168/3 = 0.
-1, 2, 292
Let d be (2 - -2)*(-2)/(-8) - -1. Let i(m) be the first derivative of -m**d + 16 - 12*m**2 - 6*m**2 + 21*m + 7*m**2 + m**3. Factor i(l).
3*(l - 7)*(l - 1)
Let j(k) be the second derivative of -k**4/18 - 16*k**3/9 - 21*k**2 + 27*k - 7. Factor j(n).
-2*(n + 7)*(n + 9)/3
Let n be ((-6)/10)/((-1)/5). Let q(l) = -22*l - 132. Let s be q(-6). Suppose -a**3 + 9*a**4 + s*a**n - 8*a**4 = 0. Calculate a.
0, 1
Let w(y) = 21*y**2 + 10086*y - 486. Let j(c) = -3*c**2 - 1441*c + 72. Let f(q) = -27*j(q) - 4*w(q). Factor f(k).
-3*k*(k + 479)
Let 3424/7 - 4/7*q**2 - 396/7*q = 0. Calculate q.
-107, 8
Let h(f) be the third derivative of 0 + 5/276*f**4 - 1/1380*f**6 - 1/2415*f**7 + 52*f**2 + 2/69*f**3 + 1/230*f**5 + 0*f. Find p, given that h(p) = 0.
-1, 2
Let z(c) = 5*c**3 + 18*c**2 - 247*c + 544. Let g(k) = 36*k**3 + 129*k**2 - 1731*k + 3810. Let u(r) = -2*g(r) + 15*z(r). Solve u(v) = 0 for v.
-12, 3, 5
Let v = -870 + 1770. Let c be 200/v - 4/(-9). Factor 2/3*x**2 - 1/3*x**5 - x**4 - c*x**3 + x + 1/3.
-(x - 1)*(x + 1)**4/3
Let q(d) = -37*d**3 - 56*d**2 + 162*d + 156. Let f(h) = -63*h**3 - 113*h**2 + 324*h + 311. Let x(y) = 3*f(y) - 5*q(y). Find c, given that x(c) = 0.
-17, -3/4, 3
Let t(g) be the second derivative of 5 - 841/18*g**2 + 29/27*g**3 - 2*g - 1/108*g**4. Suppose t(m) = 0. What is m?
29
Suppose -5*v + i + 21 + 25 = 0, -2*v - 5*i = -40. Suppose 5*f + 4 = 6*f. Let -42*y**4 - 20*y**f - v*y**3 - 70*y**5 + 8*y**2 + 9*y**3 + 17*y**3 = 0. Calculate y.
-1, -2/7, 0, 2/5
Suppose 2*o - 91*x + 90*x - 162 = 0, -4*x + 16 = 0. Suppose -24*f = 35 - o. Suppose 0*d**f - 8/3*d**4 - 4*d**3 + 0 + 4/3*d**5 + 0*d = 0. Calculate d.
-1, 0, 3
Let s(b) be the third derivative of -b**6/360 - 13*b**5/90 + 3*b**4/8 - 596*b**2 - 2*b + 1. Determine u so that s(u) = 0.
-27, 0, 1
Let a(g) = 3*g**2 - 21*g. Let x = -172 + 155. Let n(j) = -j + 1. Let o be n(-5). Let s(w) = 9*w**2 - 62*w. Let b(t) = o*s(t) + x*a(t). Factor b(d).
3*d*(d - 5)
Let o(g) be the second derivative of 0*g**2 + 1/14*g**7 + 285*g**4 + 6*g - 411/70*g**6 + 900/7*g**3 + 8643/70*g**5 - 3. Determine m so that o(m) = 0.
-1, -2/7, 0, 30
Let q(m) be the first derivative of -1/24*m**4 - 33/4*m**2 - 121/6*m - 209 + 7/6*m**3. Factor q(z).
-(z - 11)**2*(z + 1)/6
Suppose -14*b + 104 = 34. Factor 4*f**b - 39062500 + 7812500*f - 500*f**4 + 25140*f**3 - 2551*f**3 + 2411*f**3 - 625000*f**2.
4*(f - 25)**5
Let h be (-164)/(-15) + (-320)/2400. Factor -108/5*s + 2/5*s**5 + 18/5*s**3 - h*s**2 + 0 + 14/5*s**4.
2*s*(s - 2)*(s + 3)**3/5
Let s(w) be the first derivative of -51/2*w**2 - 3*w**3 - 5 + 18*w. Solve s(f) = 0.
-6, 1/3
Let k be (-328)/(-336) - (-135)/378. Factor 3*y**2 - k*y - 1/2*y**3 + 0 - 1/3*y**4.
-y*(y - 2)*(y + 4)*(2*y - 1)/6
Factor 2/9*k**3 - 32/3 - 22/9*k**2 + 80/9*k.
2*(k - 4)**2*(k - 3)/9
Let w be (-5)/40*(-123 - -83). Let r(l) be the third derivative of -1/15*l**w - 1/8*l**4 - 1/120*l**6 - 37*l**2 + 0 + 0*l**3 + 0*l. Factor r(c).
-c*(c + 1)*(c + 3)
Solve 359/2*i + 1/2*i**2 + 0 = 0 for i.
-359, 0
Let l(p) be the first derivative of p**4/20 - 11*p**3/15 + 16*p**2/5 - 28*p/5 + 241. Factor l(y).
(y - 7)*(y - 2)**2/5
Find c such that 568/7*c**2 - 131424/7 - 18352/7*c - 4/7*c**3 = 0.
-6, 74
Let f = 90192 + -90190. Factor 2/5 + 3/5*w**f - 7/5*w.
(w - 2)*(3*w - 1)/5
Let l(q) be the third derivative of q**6/420 + 43*q**5/210 - 9*q**2 - 297. Factor l(x).
2*x**2*(x + 43)/7
Let i(k) = 115*k**4 - 350*k**3 + 235*k**2 + 1225*k - 1835. Let g(t) = 13*t**4 - 39*t**3 + 26*t**2 + 136*t - 204. Let m(w) = 35*g(w) - 4*i(w).