0 - 6*q**3 + 2119*q**2. Suppose o(n) = 0. Calculate n.
-5, 2, 3
Let z be (-172)/258 - (34/3)/(-2). Factor -31*v**z - 12*v**3 + 30*v**5 + 19*v**3 - 5*v**2 - v**2.
-v**2*(v - 2)*(v - 1)*(v + 3)
Suppose x + 3*x - 4*n = 112, 0 = -4*n + 20. Let c be ((-4)/(-6))/(x/(-9) - -4). Suppose 25*z**c - 14*z**2 + 2*z**3 - 17*z**2 + 4*z = 0. What is z?
0, 1, 2
Let d(i) be the third derivative of -i**7/315 + i**6/36 + 11*i**5/15 + 8*i**4/9 - 352*i**3/9 - 11852*i**2. Suppose d(s) = 0. What is s?
-4, 2, 11
Let w be (10/75)/(3/78)*78. Factor w + 104/5*x + 2/5*x**2.
2*(x + 26)**2/5
Let m(f) = f**3 - 21*f**2 + 2*f - 12. Let j be m(21). Find z such that -52*z - 3*z**2 - 152*z - j*z - 4563 = 0.
-39
Let d(b) be the third derivative of b**5/240 + 11*b**4/48 + 1477*b**2. Suppose d(v) = 0. What is v?
-22, 0
Let k(c) = -c - 733 + 5*c + 724 + 3*c**2. Let a(h) = 3*h**2 + 3*h - 9. Let s(z) = -2*a(z) + 3*k(z). Factor s(m).
3*(m - 1)*(m + 3)
Let s(x) be the third derivative of 0*x**4 + 0*x**7 + 1/40*x**6 - 41*x**2 + 0*x**3 - 1/336*x**8 - 1/30*x**5 + 0*x + 0. Factor s(q).
-q**2*(q - 1)**2*(q + 2)
Let f(l) be the third derivative of -2*l**7/315 - 4*l**6/15 - 14*l**5/3 - 392*l**4/9 - 686*l**3/3 - 7056*l**2. Factor f(g).
-4*(g + 3)*(g + 7)**3/3
Let v(j) be the second derivative of 4*j**5/5 + 47*j**4/3 + 88*j**3 - 72*j**2 - 4*j - 47. Factor v(p).
4*(p + 6)**2*(4*p - 1)
Let g(w) = 6*w. Let k(b) = 16*b - 1. Let s(m) = 17*g(m) - 6*k(m). Let u be s(2). Suppose 5*p**3 + 60*p - 13 - u - 9 + 0*p**3 - 30*p**2 = 0. Calculate p.
2
Let l(p) be the third derivative of p**7/315 - 7*p**6/180 - 53*p**5/90 - 9*p**4/4 - 4*p**3 - 863*p**2. Solve l(w) = 0.
-3, -1, 12
Let d(s) be the second derivative of 0*s**3 + 0 + 1/252*s**7 + 0*s**2 + 2/15*s**5 - 36*s + 1/6*s**4 + 7/180*s**6. What is b in d(b) = 0?
-3, -2, 0
Let u(t) = t**3 - 10*t + 1. Let g(b) = -b**4 + 2*b**3 + 132*b**2 + 730*b + 641. Let i(q) = g(q) - 4*u(q). Factor i(j).
-(j - 13)*(j + 1)*(j + 7)**2
Suppose -3*l = -g - 21, 0 = 173*g - 174*g - 3*l + 21. Suppose 0*h**4 + g*h + 0 - 3/4*h**2 - 7/8*h**3 + 1/8*h**5 = 0. Calculate h.
-2, -1, 0, 3
Let a(w) be the first derivative of 0*w + 23/2*w**2 + 35 + 0*w**4 + 3/50*w**5 - 4/5*w**3 + 1/100*w**6. Let k(h) be the second derivative of a(h). Factor k(d).
6*(d - 1)*(d + 2)**2/5
Let g(w) be the second derivative of 1/40*w**5 + w**3 + 1/4*w**4 + 9/2*w**2 + 0 + 16*w. Let h(t) be the first derivative of g(t). Factor h(z).
3*(z + 2)**2/2
Factor 26/7*k**2 - 1/7*k**3 + 445/7*k + 418/7.
-(k - 38)*(k + 1)*(k + 11)/7
Let o be 3/15*(-5600)/(-2520). Solve -o - 2/9*k + 2/9*k**2 = 0 for k.
-1, 2
Let n(f) be the second derivative of f**7/42 + 31*f**6/15 + 288*f**5/5 + 891*f**4/2 - 2187*f**3/2 - 4578*f - 2. Factor n(h).
h*(h - 1)*(h + 9)*(h + 27)**2
Let x(h) = -3*h**3 - 51*h**2 - 8*h - 8. Let l be x(-17). Factor -4*a**3 - 288*a - l - 168*a**2 - 10*a**2 - 17*a**3 - a**5 + 16*a**3 + 12*a**4.
-(a - 8)**2*(a + 1)**2*(a + 2)
Let i(u) = -u**4 - u**3 - u**2 + 1. Let r(a) = -14*a**3 + 2*a**4 + 12 - 12*a**2 - 8*a**4 - 8*a**4. Let x(o) = 12*i(o) - r(o). Factor x(f).
2*f**3*(f + 1)
Let y(k) be the first derivative of -5/2*k**2 + 3*k - 11/3*k**3 - 3/4*k**4 + 244. Factor y(m).
-(m + 1)*(m + 3)*(3*m - 1)
Suppose 0 = -32*k + 2933 - 22389. Let f = 613 + k. Factor 0*i + 1/2*i**f - 9/2*i**2 + 3/2*i**3 + 0 + 5/2*i**4.
i**2*(i - 1)*(i + 3)**2/2
Suppose 54*m - 51*m - 6 = 0. Factor -108*w + 972 - 26*w**2 + 10*w**2 + 9*w**m + 10*w**2.
3*(w - 18)**2
Factor 0*m + 164/5*m**4 + 4/5*m**2 + 0 + 66*m**3.
2*m**2*(m + 2)*(82*m + 1)/5
Suppose -4*z = -10*z + 12. Factor 6*f**4 + 8*f - 42*f**2 + 27*f**z + 16 - 8*f**3 - 7*f**4.
-(f - 1)*(f + 1)*(f + 4)**2
Let 34336/3*i**2 - 6728*i - 1166/3*i**3 + 10/3*i**4 + 0 = 0. What is i?
0, 3/5, 58
Let h = -789336/5 + 157868. Factor 22/5*j**3 + 0 + 18/5*j**4 + 0*j + h*j**2.
2*j**2*(j + 1)*(9*j + 2)/5
Let n be ((-220)/6)/((-393640)/36336). Solve -2/13*o**2 + 46/13 + n*o = 0.
-1, 23
Suppose -h - 65 = -6*h. Suppose -2*w + 5*w = -2*x + h, 2*w - 14 = -4*x. Solve -5*y - 15 + 11*y + 20*y**2 - 5*y**4 - 10*y**w + 4*y = 0.
-3, -1, 1
Let t(m) be the third derivative of 2/19*m**3 + 0 + 7/570*m**5 + 9*m - 9*m**2 - 1/1140*m**6 - 1/1995*m**7 + 13/228*m**4. Solve t(d) = 0.
-2, -1, 3
Factor -10*a - 14*a - 8*a + a**3 - 10*a + 44*a - 3*a**2.
a*(a - 2)*(a - 1)
Determine f so that 27/5*f**4 - 546/5*f**3 + 288/5 + 1929/5*f**2 - 1698/5*f = 0.
2/9, 1, 3, 16
Let t = -1280460/11 + 116412. What is k in 648/11 + 2/11*k**2 - t*k = 0?
18
Let i(c) = -c**3 - 11*c**2 + 2*c + 24. Let b be i(-11). Factor -1 + 6*u**b - 19 - 10*u - 5*u - u**2.
5*(u - 4)*(u + 1)
Let d be 23/((-1932)/(-8)) - (-1699)/21. Suppose -d*t + 18 = -72*t. Factor -3/2 - 2*n - 1/2*n**t.
-(n + 1)*(n + 3)/2
Let z be (-127 - -10)/(-13) - 1*-2. Factor -6*l + 6*l**2 + 3*l**3 + z*l + 12*l**2 - 26*l.
3*l*(l - 1)*(l + 7)
Let w(b) = -2*b**4 + 4*b**3 + b**2 - b - 1. Let j(k) = 13*k**4 + k**3 + 60*k**2 + 2*k - 82. Let g(r) = 5*j(r) + 30*w(r). Determine z, given that g(z) = 0.
-22, -2, 1
Let d(n) be the second derivative of 26*n**6 + 20 + 8/3*n**3 - 17/5*n**5 + 0*n**2 - 4*n - 28/3*n**4. Find w, given that d(w) = 0.
-2/5, 0, 2/13, 1/3
Factor 20 + 28700*i - 56689*i + 28369*i - 195*i**2.
-5*(i - 2)*(39*i + 2)
Let o(b) be the first derivative of b**5/5 + b**4/2 - 13*b**3/3 + 5*b**2 + 2972. Factor o(c).
c*(c - 2)*(c - 1)*(c + 5)
Factor -1345*p + 5/4*p**2 + 2685.
5*(p - 1074)*(p - 2)/4
Let t(f) be the first derivative of -1/12*f**3 + 1/2*f**2 + 5/4*f - 310. Factor t(g).
-(g - 5)*(g + 1)/4
Let b = 141 + -135. Suppose 2*x + 5*i - 24 = 0, b*x - 7*x = 3*i - 14. Factor 2/3*t**x + 2/3*t + 0.
2*t*(t + 1)/3
Let d(r) be the third derivative of -r**6/1440 + r**5/32 + 27*r**3 + 90*r**2. Let u(y) be the first derivative of d(y). Factor u(l).
-l*(l - 15)/4
Let w be ((-30)/(-180))/(3/9)*0. Let i(t) be the third derivative of -t**2 + w*t - 7/24*t**3 + 1/12*t**4 + 0 - 1/240*t**5. Solve i(j) = 0.
1, 7
Factor 223*y**3 + 2*y**4 - 73*y**3 - 8*y**2 - 3*y**4 + 296*y**2 + 4*y**4.
3*y**2*(y + 2)*(y + 48)
Let i be 1/(-8) - 24665/17160*-1. Let h = i - 37/39. Find j, given that -h + 2/11*j**2 - 2/11*j = 0.
-1, 2
Let w(q) be the third derivative of q**6/40 + 43*q**5/10 - q**4/8 - 43*q**3 - 1100*q**2. Factor w(r).
3*(r - 1)*(r + 1)*(r + 86)
Let n(f) be the first derivative of 5/12*f**4 + 10/3*f**3 + 28 + 15/2*f**2 + 7*f. Let k(x) be the first derivative of n(x). Factor k(q).
5*(q + 1)*(q + 3)
Let l(r) be the second derivative of 9/20*r**5 + 2*r**4 + 2*r**3 + 8*r + 0*r**2 - 1/5*r**6 - 1/14*r**7 + 0. Solve l(k) = 0.
-2, -1, 0, 2
Factor -1/3*m**3 + 1/3*m - 70*m**2 + 70.
-(m - 1)*(m + 1)*(m + 210)/3
Let l(x) = -7*x**5 + 32*x**4 - 73*x**3 + 71*x**2 - 31*x + 5. Let s(w) be the first derivative of w**6/6 - 302. Let f(a) = l(a) + 3*s(a). What is j in f(j) = 0?
1/2, 1, 5
Solve -696/5*l - 252/5 + 611/5*l**2 - 138/5*l**3 + 7/5*l**4 = 0 for l.
-2/7, 3, 14
Let p be (-10)/(-3)*144/(-840) + 288/308. Let x(w) be the first derivative of 23 + p*w + 3/11*w**2 + 2/33*w**3. Factor x(n).
2*(n + 1)*(n + 2)/11
Let m be ((-162)/(-84) + -3)*(-4 + 176/(-20)). Let d(t) be the first derivative of 1/7*t**4 - 4 + 256/7*t + m*t**2 + 16/7*t**3. Factor d(l).
4*(l + 4)**3/7
Let j(y) be the first derivative of -4/35*y**5 - 32/7*y**2 - 32/7*y**3 + 0*y - 9/7*y**4 + 210. Factor j(m).
-4*m*(m + 1)*(m + 4)**2/7
Let j be 1*5*8*(3 - 2). Suppose 4*r - 2*a = j, -2*r - 2*a + 20 = -a. Let 42 - r*n**3 + 141*n - 9*n**3 + 4*n**3 + 84*n**2 = 0. What is n?
-1, -2/5, 7
Let w be -42*(9/(-6) - -1). Let y = -19 + w. Find s such that 235*s - 117*s - 113*s + 2*s**2 - 5*s**3 - y = 0.
-1, 2/5, 1
Let l be 24/22*(-44)/(-184). Let v = 435/184 + l. Let -v*m**2 - 3/2 + 33/8*m = 0. What is m?
4/7, 1
Let g(w) = w**3 - 2*w**2 - 4*w + 2. Let u be g(3). Let f = 4 - u. Factor -5*h**2 - 16*h**4 - 11*h**2 + 32*h**3 + 4*h**f + 5*h - 8*h**3 - h.
4*h*(h - 1)**4
Let q be 18/66 - ((-116)/(-440) - (-24)/(-264)). Factor 0 - q*l**4 - 19/10*l**3 - 9/5*l**2 + 0*l.
-l**2*(l + 1)*(l + 18)/10
Let j = -14764 - -117939/8. Let u = -487/24 - j. Factor 0*k - 4/3*k**2 + u.
-4*(k - 1)*(k + 1)/3
Let x(w) = 15*w**3 + 10*w - 11. Let z be x(1). Solve -90*j - 7 - 1 + 8 + 71 + z + 5*j**2 = 0.
1, 17
Let u be 0/(-18*(-117)/81). Find v such that u*v + 2/7*v**2 + 0 = 0.
0
Let m = -639 - -664. Suppose 24*w = m*w. Factor -1/2*