erivative of 2*x**5/15 + 22*x**4 + 997. Factor r(d).
2*d**3*(d + 132)/3
Solve 42*k**2 + 54*k**2 + 695*k - 146*k**2 - 2130 + 55*k**2 = 0 for k.
-142, 3
Let v be ((-4742)/(-6))/(-5 - (-8)/3). Let j = 339 + v. Determine y so that 4/7 + 2*y**3 - 4/7*y**4 - j*y - 12/7*y**2 = 0.
-1/2, 1, 2
Let u(s) be the second derivative of s**6/5 - 149*s**5/10 - 26*s**4/3 + 100*s**3/3 - 1217*s. Factor u(v).
2*v*(v - 50)*(v + 1)*(3*v - 2)
Let v(o) = o**2 - 26*o + 28. Let u(t) be the first derivative of 14*t**2 - 2/3*t**3 - 28*t - 4. Let j(q) = 3*u(q) + 2*v(q). Factor j(f).
-4*(f - 7)*(f - 1)
Let g(n) = 3*n**2 + 127*n - 145. Suppose -x - 12 = 3*d, -d - 3*x - 6 = 2*d. Let m(f) = 3*f**2 + 128*f - 143. Let b(t) = d*m(t) + 4*g(t). Factor b(o).
-3*(o - 1)*(o + 45)
Let h(m) be the first derivative of -m**4/18 - 130*m**3/27 + 22*m**2/3 + 2001. Factor h(u).
-2*u*(u - 1)*(u + 66)/9
Factor -4565998711*j + 3*j**4 - 5095*j**3 + 989067127*j - 2921*j**3 + 417566819453 - 53678142797 + 233458897872 + 8032032*j**2.
3*(j - 668)**4
Factor -3*o**2 - 677*o - 165*o - 3355*o.
-3*o*(o + 1399)
Suppose -311 + 305 = -2*i. Factor i*x - 35579*x**2 + 35534*x**2 - 5*x**4 - 50*x**3 - 3*x.
-5*x**2*(x + 1)*(x + 9)
Let r = -1453/545 + 7/436. Let w = 8/5 - r. Factor w*m**3 - 1/2 - 21/4*m**2 - 5/4*m**4 + 11/4*m.
-(m - 1)**3*(5*m - 2)/4
Suppose -347*i - 2479248 = -41*i + 452*i - 12471204. Factor 3/4*q**3 + i + 117/2*q**2 + 1521*q.
3*(q + 26)**3/4
Let o be -11 + 6 + -5 - -6. Let j be 10/30 + 22/6 + o. Solve j - 1/3*t + 1/3*t**2 = 0.
0, 1
Suppose 3*p - 81 = -3*y, 5*p - 2*y = 103 + 32. Factor -8*n + 9*n**4 - 1 - 2*n**4 - 59*n**3 + 4*n**4 + 30*n**2 + p*n**3.
(n - 1)**3*(11*n + 1)
Let z(s) = -s**3 + 5*s**2 + 6*s + 5. Let t be z(6). Suppose 15*r - 65 = -t. Factor r*p**4 - 9*p**2 - p**4 + 3*p + 3*p.
3*p*(p - 1)**2*(p + 2)
Let y = 352/13 + -5094/143. Let l = y + 106/11. Suppose 6/11*v**3 + l - 38/11*v + 4/11*v**2 = 0. What is v?
-3, 1/3, 2
Let q(b) be the second derivative of -b**6/12 + 71*b**5/8 + 2315*b**4/24 - 355*b**3/12 - 1155*b**2/2 + 37*b - 72. Find w such that q(w) = 0.
-6, -1, 1, 77
Let -54 - 6*i**2 - 354 - 17*i**2 + 9*i**2 + 1432*i = 0. Calculate i.
2/7, 102
Let k(c) be the second derivative of c**4/42 - 572*c**3/21 + 1707*c**2/7 + 5*c + 668. Factor k(x).
2*(x - 569)*(x - 3)/7
Suppose 0 = -195*r - 185*r + 64*r. Determine k, given that r - 4/7*k**2 - 6/7*k + 2/7*k**3 = 0.
-1, 0, 3
Let x(h) be the second derivative of 28*h**2 + 5 + 1/6*h**4 + 11/3*h**3 + 16*h. Suppose x(r) = 0. Calculate r.
-7, -4
Find s, given that 729/8 + 27/8*s**2 - 1/8*s**3 - 243/8*s = 0.
9
Factor 0 + 2756/5*a + 2/5*a**2.
2*a*(a + 1378)/5
Factor -486*o + 515*o**2 - 37*o**3 + 20 - o**4 + 60 + 39 - 3*o**4 + o**3.
-(o - 7)*(o + 17)*(2*o - 1)**2
Let b be ((-16)/12)/(8/(-62)) + -15 + 7. Let i(j) be the second derivative of b*j**3 + 2*j**2 + 0 - 2/3*j**4 + 30*j. Factor i(x).
-2*(x - 2)*(4*x + 1)
Suppose -11947*g - 11934*g + 23761*g - 5*g**3 + 55*g**2 = 0. What is g?
0, 3, 8
Factor -3534*g - 3531*g + 7049*g - 105 + g**2.
(g - 21)*(g + 5)
Let f be 8 + (3 - (-65)/(-13)). Let r(t) be the first derivative of -9/2*t**2 - 2 + 3/4*t**4 + 0*t**3 + f*t. Factor r(a).
3*(a - 1)**2*(a + 2)
Suppose -673*q - 281*q = -157*q. Factor 39*k**2 + 3/2*k**4 + q*k + 45/2*k**3 + 0.
3*k**2*(k + 2)*(k + 13)/2
Factor -185/3*m**3 + m**4 + 0 - 21*m - 251/3*m**2.
m*(m - 63)*(m + 1)*(3*m + 1)/3
Let p be 9 - 88/(-11550)*-1181. Let q(s) be the third derivative of 0 + 1/30*s**4 + 0*s**3 + 11*s**2 + 0*s + 0*s**6 - p*s**7 + 1/50*s**5. Factor q(i).
-2*i*(i - 2)*(i + 1)**2/5
Let q be (4/6 + -1)*-9. Suppose 8*c + 11 = q. Let a(w) = w**2 + w - 1. Let o(h) = 17*h**2 + 49*h - 21. Let v(y) = c*o(y) - 3*a(y). Factor v(i).
-4*(i + 3)*(5*i - 2)
Let b = 8 - -96. Let x be 2 + (b/(-72)*3 - -3). Factor x*c**2 + 2/15*c**3 + 8/15 + 16/15*c.
2*(c + 1)*(c + 2)**2/15
Let q be (1 + -4 + -3)/(93/62). Let x(z) = 2*z**3 + 5*z**2 - 13*z - 2. Let k be x(q). Solve k - 2*f**2 - 1/3*f**3 + 1/3*f = 0 for f.
-6, -1, 1
Let c(j) be the first derivative of -j**3/18 - 33*j**2/4 + 101*j/3 - 1005. Determine g so that c(g) = 0.
-101, 2
Let v(w) be the first derivative of 2*w**3/3 - 17*w**2 - 120*w - 1115. Factor v(t).
2*(t - 20)*(t + 3)
Let s(o) be the second derivative of 169*o**4/12 - 677*o**3/6 + 2*o**2 + o + 668. Factor s(i).
(i - 4)*(169*i - 1)
Let t(m) be the first derivative of 55*m**3/3 - 7385*m**2/2 - 7440*m + 7327. Find q such that t(q) = 0.
-1, 1488/11
Let j(x) be the third derivative of x**7/42 - 39*x**6/8 - x**5/4 + 1745*x**4/24 + 195*x**3 + 97*x**2 + 2*x. Factor j(k).
5*(k - 117)*(k - 2)*(k + 1)**2
Suppose -5*b = -19*b + 112. Solve 10*m**5 - b*m**4 - 14*m**5 + 0*m + 0*m = 0 for m.
-2, 0
Determine n, given that -24 + 646*n - 875 - 2*n**2 - 639*n - 1347*n - 439 = 0.
-669, -1
Let -269*q - 808/3 + 1/3*q**2 = 0. Calculate q.
-1, 808
Let l be ((-5)/(25/(-10)))/(-2) - -5. Suppose 2*w = -3*c - 8, 47*w = -2*c + 48*w + l. Factor 1/3*h**3 + 0*h**2 + 0 + c*h.
h**3/3
Let f be 1/(-3)*(1 + 7 - 9)*0. Let d(p) be the third derivative of -1/480*p**6 + f*p**5 + 0*p**3 + 16*p**2 + 0*p + 0 + 1/24*p**4. Let d(a) = 0. Calculate a.
-2, 0, 2
Let z(u) = -40*u + 44. Let g(b) = 43*b - 2*b**2 + 5*b**2 - 45 + 2*b**2 - b**2 - 3*b**2. Let x(j) = -4*g(j) - 5*z(j). Solve x(o) = 0.
2, 5
Let i(c) = -c**2 - 8*c - 13. Let r be i(-3). Let j be (r - (1 + 1)) + (6 - 3). Solve 3*f**j + 31 - 8*f - f - 56 + 31 = 0.
-2, 1
Suppose 33*m - 5670 = -9*m. Let a be 6/35*m/81. Find v such that -a*v**2 + 6/7*v + 0 = 0.
0, 3
Let o = -103331/202 + 408/101. Let r = o + 509. Factor r*t**4 + 0 + 15/2*t**3 + 12*t**2 + 6*t.
3*t*(t + 1)*(t + 2)**2/2
Let w be ((-3)/(-2))/((-6)/1104*-12). Suppose 0 = -9*k + w - 5. Factor 4*j**3 + k*j**4 + 22 - 16*j - 38 - j**4.
(j - 2)*(j + 2)**3
Let i = 235131 + -235131. Solve -76/5*m**3 - 28/5*m**4 - 4*m**2 + 16/5*m + 12/5*m**5 + i = 0 for m.
-1, 0, 1/3, 4
Let n(q) be the third derivative of -q**6/2520 + q**5/84 + 29*q**3/3 + 2*q**2 + 20*q. Let c(f) be the first derivative of n(f). What is b in c(b) = 0?
0, 10
Let n(k) be the second derivative of 2*k**7/21 + 32*k**6/15 + 76*k**5/5 + 64*k**4/3 - 640*k**3/3 - 1024*k**2 - 3533*k. Find l, given that n(l) = 0.
-8, -4, -2, 2
Let a(h) = h**3 + 4*h**2 - 7*h + 6. Let l be a(3). Suppose -d = d - l. Factor -45*y**2 - 5*y**3 - 2*y - 13*y + d*y**4 - 59 + 69 - 9*y**4.
5*(y - 2)*(y + 1)**2*(3*y - 1)
Let j(b) = -7 - 23*b + 6*b**2 + 26*b - b**3 + 2*b**3. Let r be j(-4). Factor r*n - 26*n + 19*n - 6*n**3 + 3*n**4 - 3*n**2.
3*n*(n - 2)*(n - 1)*(n + 1)
Let t(j) be the third derivative of 1/18*j**3 + 1/60*j**5 - 1/24*j**4 + 4*j**2 + 2*j + 0 - 1/360*j**6. Factor t(c).
-(c - 1)**3/3
Determine p so that -192 + 1923/2*p - 2703/2*p**2 - 9/2*p**4 + 1173/2*p**3 = 0.
1/3, 1, 128
Let v(n) = -4*n**3 - 18*n**2 - 63*n - 52. Let a(r) = r**3 + r**2 + 1. Let i(s) = -2*s**2 + 30*s - 27. Let y be i(14). Let d(w) = y*v(w) + 3*a(w). Factor d(o).
-(o + 1)*(o + 7)**2
Let c(r) be the third derivative of 26/105*r**5 - 1/210*r**6 - 96*r**2 + 0*r + 55/42*r**4 + 2 + 8/3*r**3. Determine z so that c(z) = 0.
-1, 28
Suppose 3*q + v = 3, -8 = -v - 11. Suppose z + 20 = 6*i, -1 = 3*z - q*i - 5. Determine g so that -4/3 - 2/3*g + 2*g**2 + 2/3*g**3 - 2/3*g**z = 0.
-1, 1, 2
Let v(g) = g**3 + g + 1. Let l = -198 - -178. Let c(q) = 15*q**3 - 15*q**2 + 100*q - 40. Let r(d) = l*v(d) + c(d). Suppose r(m) = 0. What is m?
-6, 1, 2
Let j(h) be the first derivative of -h**3/3 - 147*h**2/2 - 146*h + 1739. Find r such that j(r) = 0.
-146, -1
Factor -36/25 - 24/25*u**2 - 2/25*u**3 - 58/25*u.
-2*(u + 1)*(u + 2)*(u + 9)/25
Let o = -2/426295 - -2557796/5541835. What is h in -4/13*h + o - 8/13*h**2 + 4/13*h**3 + 2/13*h**4 = 0?
-3, -1, 1
Let t be 1*5/(25/10) - -7. Suppose -6*l + t + 9 = 0. Factor 32/3*y**2 + 0 - 4/3*y - 64/3*y**l.
-4*y*(4*y - 1)**2/3
Let x(j) be the second derivative of j**9/756 - 23*j**8/192 + 5*j**7/63 + 7*j**4/3 - j**3/3 - 313*j. Let q(n) be the third derivative of x(n). Factor q(b).
5*b**2*(b - 40)*(4*b - 1)
Let q = 447 - 419. Suppose 32 = 44*v - q*v. Let -22/7*k**v + 4/7 - 18/7*k = 0. What is k?
-1, 2/11
Let d(c) = 9*c - 12. Let y be d(12). Suppose -25*z**2 + 4*z**4 - y*z + 9*z**3 - 80 + 52*z**2 - 23*z**2 + 15*z**3 = 0. What is z?
-5, -2, -1, 2
Let f(p) be the third derivative of -53*p - 1/30*p**5 + 1/6*p**3 + 1/24*p**4