g**2 - 6. Let z(x) be the second derivative of q(x). Factor z(v).
2*(v - 2)**2/9
Let k(a) be the first derivative of a**6/3 - 8*a**5/5 - 3*a**4/2 + 44*a**3/3 - 4*a**2 - 48*a - 913. Let k(b) = 0. Calculate b.
-2, -1, 2, 3
Let v(w) be the second derivative of -w**6/10 + 33*w**5/10 + 1119*w**4/4 - 6820*w**3 - 576600*w**2 - 200*w + 3. Find d such that v(d) = 0.
-20, 31
Let l = -551993 + 551996. Factor 12/11*a**l + 6/11*a - 2/11*a**5 + 0*a**4 + 16/11*a**2 + 0.
-2*a*(a - 3)*(a + 1)**3/11
Let f(m) be the third derivative of m**8/840 + 11*m**7/175 - 12*m**6/25 + 74*m**5/75 + 625*m**2 + 2*m. Factor f(k).
2*k**2*(k - 2)**2*(k + 37)/5
Let w = -3842507/21 - -182977. Find k, given that 2/21*k**3 + 2/7*k**2 - 2/21*k**4 + 4/21 - w*k = 0.
-2, 1
Let a(j) be the second derivative of j**6/2160 + 7*j**5/720 + j**4/12 + 197*j**3/6 - 132*j. Let q(m) be the second derivative of a(m). Factor q(i).
(i + 3)*(i + 4)/6
Let y(b) be the third derivative of 13*b**8/70 - 127*b**7/105 + 111*b**6/50 - 6*b**5/25 - 2*b**4/15 + 2*b**2 + 15*b + 3. Determine n, given that y(n) = 0.
-1/12, 0, 2/13, 2
Let d(g) = -2*g**2 - 136*g + 579. Let x be d(-72). Factor -2*u**4 - 3*u**x + 0*u + 0 - 1/3*u**5 - 4/3*u**2.
-u**2*(u + 1)**2*(u + 4)/3
Factor 3670*i**3 - i**4 - 73530625 + 311300*i**2 + 6*i**4 + 72630250*i + 585400*i**2.
5*(i - 1)*(i + 245)**3
Let f(o) = 4*o**2 + 14*o - 24. Let d(k) be the first derivative of -2*k**3/3 - 3*k**2 + 12*k - 165. Let y(i) = 5*d(i) + 2*f(i). Let y(u) = 0. What is u?
-3, 2
Let o = 8606/21 + -2864/7. Factor -2/3*d**2 - 2/9 + o*d + 2/9*d**3.
2*(d - 1)**3/9
Let z be (-2 - (-52)/14)*14. Let u = -25 + 29. Factor 34*o**2 - z*o**2 - 4*o**4 + 9*o**u - 15*o**3.
5*o**2*(o - 2)*(o - 1)
Solve 23*m**2 - 2*m**2 + 202 - 18 - 152*m + 9*m**2 = 0.
2, 46/15
Let i(m) be the third derivative of -605/6*m**3 - 35*m**2 + 7/4*m**5 - 1/24*m**6 + 0*m + 0 - 165/8*m**4. Solve i(c) = 0.
-1, 11
Let w be (-2 + 408 + -3)/(2/(-2)). Let o be 1/(-15)*w - (-4)/30. Find z, given that 7*z + 20*z**2 + 19*z**3 + 210*z**4 - 225*z**4 - o*z + 6*z**3 = 0.
-1, 0, 2/3, 2
Let q(c) = -16*c**2 - 484*c + 15856. Let m(i) = -i**2 + 19*i - 38. Let u be m(18). Let b(z) = z**2 - z + 1. Let a(w) = u*b(w) - q(w). Solve a(r) = 0.
63
Suppose -68*s = -41*s - 621. Let -2 - 2*n - s*n**2 - 2*n - n + 23*n**2 - n**3 - 4*n**4 + 12*n**2 = 0. Calculate n.
-2, -1/4, 1
Let k(h) = 22*h**2 + 2596*h - 147835. Let r(g) = 4*g**2 + 432*g - 24639. Let n(o) = 6*k(o) - 34*r(o). Factor n(d).
-4*(d - 111)**2
Suppose -5*j + 4*q = -11 - 9, 5*q - 17 = j. Let w = j - -32. Determine s, given that -127*s**2 + w*s**3 + 0 + 175*s**4 - 67*s - 9*s - 12 = 0.
-3/7, -2/5, 1
Let j(f) be the first derivative of -f**3 - 297*f**2/2 + 300*f - 1674. Factor j(x).
-3*(x - 1)*(x + 100)
Let c be 52692/(-60) + -2 - 1/(-5). Let n be -4 + -3 - (c/15)/8. Find v such that 0 + 1/3*v**2 + n*v**3 + 0*v - 1/3*v**4 - 1/3*v**5 = 0.
-1, 0, 1
Suppose -3*a = -2*r + 5, 18 = 4*a + 2*r + 6. Let z be (1/3)/(a/(2/7)). Factor -2/7*b + z*b**2 + 4/21.
2*(b - 2)*(b - 1)/21
Let d be 190/8 - (-5)/(-60)*-3. Let a be (d/(-16))/(3/(-4)). Factor 0*k**4 + 2*k**5 - 2*k**3 - 27*k**2 + a*k**4 + 25*k**2.
2*k**2*(k - 1)*(k + 1)**2
Let q(t) be the second derivative of 36*t**5/35 + 782*t**4/7 + 51987*t**3/14 + 49923*t**2/7 - 1453*t. Factor q(g).
3*(3*g + 2)*(4*g + 129)**2/7
Let q(z) be the second derivative of -z**5/30 - 3*z**4/4 - 8*z**3/3 - 17*z**2 - 2*z. Let y(o) be the first derivative of q(o). Determine f so that y(f) = 0.
-8, -1
Determine l so that -5 - 54*l + 4 - 10 + 12*l**3 + 51 + 2*l**2 = 0.
-5/2, 1, 4/3
Let f(n) be the first derivative of -n**6/15 - 4*n**5/25 - n**4/10 - 947. What is x in f(x) = 0?
-1, 0
Let a(g) be the third derivative of g**7/140 + 19*g**6/60 - 67*g**5/60 + 7*g**4/12 + 9*g**3/4 - 21*g**2 + 12*g. Solve a(o) = 0 for o.
-27, -1/3, 1
Let y(n) = 2*n**2 + 82*n + 154. Let w be y(-38). Let k be w/(-296) + 1/12. Factor k + 0*i - 1/3*i**2.
-(i - 1)*(i + 1)/3
Solve -108*y + 164/3 - 8/3*y**2 = 0 for y.
-41, 1/2
Let j = -49657 + 34809551/701. Let l = j + 12660/4907. Find u such that -20/7*u + l + 2/7*u**2 = 0.
1, 9
Let j = 55 - 52. Suppose -s**5 - 18*s + s**3 - 3*s**j + 4*s**3 + 17*s = 0. What is s?
-1, 0, 1
Let d = 30 + -16. Find q, given that 5*q**3 + q**2 + 9*q - 8 - d*q**3 + 6*q**2 + q**4 = 0.
-1, 1, 8
Let l(j) be the third derivative of j**6/180 + 11*j**5/45 + 8*j**4/3 - 32*j**3 - 3*j**2 + 1361*j. Factor l(z).
2*(z - 2)*(z + 12)**2/3
Let p be (-4)/(-26) - (32/(-120))/((-35)/(155575/(-182))). Suppose 1/3*k**3 - 112/9*k - p + 1/9*k**5 + 7/9*k**4 - 55/9*k**2 = 0. Calculate k.
-5, -2, -1, 3
Factor 1/3*n**2 + 10/3*n - 11/3.
(n - 1)*(n + 11)/3
Let w(s) = 630*s**3 + 28530*s**2 - 8125*s. Let g(z) = 37*z**3 + 1678*z**2 - 478*z. Let l(x) = -35*g(x) + 2*w(x). Factor l(a).
-5*a*(a + 48)*(7*a - 2)
Let f = -486913/360 - -20284/15. Let k = 7/40 - f. Factor 1/3*j**2 + 4/9*j - k.
(j + 2)*(3*j - 2)/9
Let b = 442 - 311. Let n = 249 - b. Factor n*v**2 + 3*v - 119*v**2 - 1 - 3*v**3 + 0 + 2*v**4.
(v - 1)**2*(v + 1)*(2*v - 1)
Let n(h) = -2*h + 43. Let g be n(24). Let v(w) = -5*w**3 - 120*w**2 - 115*w. Let p(i) = -5*i**3 - 120*i**2 - 115*i. Let r(k) = g*p(k) + 6*v(k). Factor r(b).
-5*b*(b + 1)*(b + 23)
Let g(d) = 10*d**2 - 1405*d - 2795. Let m(p) = p**2 - p + 5. Let z(n) = g(n) - 5*m(n). Factor z(j).
5*(j - 282)*(j + 2)
Suppose -r - 6*b - 26 = -2*b, -3*r + 4*b + 34 = 0. Factor -r*s**2 + 3/2*s + 1/2*s**3 + 0.
s*(s - 3)*(s - 1)/2
Let h be 7/(-21) + (-44)/(-6). Let b = -21 + 24. Factor -4*g - 6 + b*g**2 + 0*g + h*g.
3*(g - 1)*(g + 2)
Let i be 16/(-12) + -3 + 1059/(-9). Let a = i - -125. Solve 1 + a + 132*f**2 - 40*f + 235*f**4 - 171*f**4 - 160*f**3 = 0 for f.
1/4, 1
Let p(t) be the second derivative of 3*t**5/4 - 475*t**4/12 + 1375*t**3/2 - 5625*t**2/2 + 231*t + 12. Find q, given that p(q) = 0.
5/3, 15
Suppose 16863*x = 16869*x - 150. Let p(m) be the first derivative of 15/2*m**4 + m**5 + 20*m**3 - 6 + x*m**2 + 15*m. Let p(a) = 0. What is a?
-3, -1
Let h = 46/6791 + 13076/74701. Factor 16/11*s**2 + h*s**3 + 20/11 + 34/11*s.
2*(s + 1)*(s + 2)*(s + 5)/11
Let m(v) be the first derivative of -2*v**3/3 - 1479*v**2 - 3304. Factor m(o).
-2*o*(o + 1479)
Suppose g = -2*r + 102 - 47, g + 11 = 4*r. Let -4/5*y**5 + 67/5*y**2 - g*y - 3/5*y**4 + 69/5*y**3 + 36/5 = 0. Calculate y.
-3, 1/4, 1, 4
Suppose 859 = -11*j - 131. Let u = j + 94. Find a such that 62*a**2 - 47*a - u*a - 9*a**2 - 6 + 4*a**2 = 0.
-2/19, 1
Factor -21*u + 28*u + 17 - 188 + 3*u**2 - 97*u - 78*u.
3*(u - 57)*(u + 1)
Let i(v) = 2*v**2 - 21*v - 13. Let b be i(11). Let k be 4 + b - (2 - (2 - 0)). Solve -14*j**2 + 5*j**3 - 6*j**k - 12*j + 23*j + 4*j = 0 for j.
0, 1, 3
Let u = -654 + 714. Let p = 0 + 2. Factor j + 2 + u*j**p - 4 - 59*j**2.
(j - 1)*(j + 2)
Factor -1/3*m**2 + 608/3*m - 92416/3.
-(m - 304)**2/3
What is t in -24/7 - 3/7*t**2 + 27/7*t = 0?
1, 8
Factor 80/19*r**4 + 2/19*r**5 + 8192/19*r + 0 + 1056/19*r**3 + 5120/19*r**2.
2*r*(r + 4)**2*(r + 16)**2/19
Let v = -1545908 - -3091819/2. Suppose v + 297/8*g - 75/8*g**2 = 0. What is g?
-1/25, 4
Let d(y) be the third derivative of y**6/24 + 29*y**5/4 + 3225*y**4/8 + 9245*y**3/6 + 984*y**2. Factor d(i).
5*(i + 1)*(i + 43)**2
Suppose 0 = 7*z - 8 - 6. Let p be 8/((-448)/12)*(-688)/1548. Solve 4/21 + p*k - 2/7*k**z = 0.
-2/3, 1
Let p(x) = 7*x**3 - 289*x**2 - 1211*x - 924. Let u(d) = 34*d**3 - 1446*d**2 - 6058*d - 4620. Let b(q) = -14*p(q) + 3*u(q). Factor b(a).
4*(a - 77)*(a + 1)*(a + 3)
Let z(d) = -d**3 - 9*d**2 - 7*d + 16. Let m be z(-8). Factor 3*x**2 + 18 + m*x**2 - 32*x - 2 - 2*x**2 + 3*x**2.
4*(x - 2)*(3*x - 2)
Let b(p) be the first derivative of p**7/5040 - 7*p**6/2160 + p**5/72 - p**3/3 + 145*p + 9. Let v(z) be the third derivative of b(z). Factor v(c).
c*(c - 5)*(c - 2)/6
Let o(i) = i**3 - 3*i**2 - 6*i + 16. Let t be o(5). Let -64*x**4 - 291*x**2 + 201*x**2 - 5*x**5 - 33*x**3 - 152*x**3 - t*x**4 = 0. Calculate x.
-18, -1, 0
Let l(q) be the first derivative of -5*q**4/4 - 55*q**3/3 - 45*q**2 - 282. Suppose l(h) = 0. Calculate h.
-9, -2, 0
Let l be (3/6)/(1/12) + (294 - 296). Let i(n) = 5*n + 1. Let v be i(1). Factor -v - 2*d**3 + 10*d - 2 + 6*d**2 + 12 - 2*d**l.
-2*(d - 2)*(d + 1)**3
Let x(p) be the third derivative of p**7/84 + 63*p**6/40 + 49*p**5/10 - 37*p**4/6 + 2347*p**2. Factor x(k).
k*(k + 