236196 = 0.
-9
Let i(m) be the second derivative of 1/12*m**3 + 0*m**2 + 0 - 1/60*m**6 - 1/40*m**5 - 30*m + 1/24*m**4. Factor i(o).
-o*(o - 1)*(o + 1)**2/2
Let q(x) be the second derivative of -x**7/21 + 4*x**6/15 + 6*x**5/5 + 434*x. Factor q(z).
-2*z**3*(z - 6)*(z + 2)
Suppose -t - 4*j = 2, t - 2*j = -7*j - 3. Let l be t - (-3*2 + 3). Factor -4*p**2 - 8*p**3 + 0*p**2 + 6*p**5 - p**l + 7*p**4 + 0*p**2.
p**2*(p - 1)*(p + 2)*(5*p + 2)
Let q = 71686/29865 + -2/5973. What is n in 0*n + 8/5*n**2 + 0 + 4/5*n**3 - q*n**5 - 16/5*n**4 = 0?
-1, 0, 2/3
Let r be (-930)/2604*(-16)/10*6. Determine n so that 0 - 6/7*n**3 + 0*n**2 + r*n = 0.
-2, 0, 2
Let h(s) = -3*s**5 + 20*s**4 - 8*s**3 - 63*s**2 + 49*s. Let r(g) = g**4 - g**3 - g. Let v(n) = h(n) - 5*r(n). Determine c so that v(c) = 0.
-2, 0, 1, 3
Suppose 7*p = 21*p + 3*p. Let w(q) be the second derivative of 2/3*q**4 + p + 14/3*q**3 - 3/5*q**5 + 4*q**2 - 6*q. Factor w(i).
-4*(i - 2)*(i + 1)*(3*i + 1)
Let f = 22757/4 + -5689. Solve f*q**2 + 1/2*q - 3/4*q**3 + 0 = 0.
-2/3, 0, 1
Let w = -18 - -30. Factor -7*y**3 - 11*y**3 - 15*y**4 + 15*y**3 - w*y**5.
-3*y**3*(y + 1)*(4*y + 1)
Find f, given that -122 - 129 - 7*f**2 + 16*f + 365 - 126 + f**3 = 0.
2, 3
Let i(y) be the first derivative of 7 - 1/5*y**5 + 0*y + 5/6*y**4 + 0*y**2 - 1/3*y**3. Suppose i(f) = 0. What is f?
0, 1/3, 3
Let z be (-2)/16 + (-17)/(-8). Let h(v) = 4*v**4 - 5*v**3 + 11*v**2 + 3*v + 3. Let y(g) = g**4 - g**3 + g**2 - g. Let f(p) = z*h(p) - 10*y(p). Factor f(x).
-2*(x - 3)*(x + 1)**3
Let o(s) be the first derivative of -s**4/10 - 4*s**3/15 + s**2/5 + 4*s/5 - 116. Factor o(c).
-2*(c - 1)*(c + 1)*(c + 2)/5
Determine q so that 62*q + 15*q**2 - 13*q - 17*q**2 + 6*q**2 + 23*q = 0.
-18, 0
Let j(r) be the first derivative of 2*r**3/15 - 194*r**2/5 + 18818*r/5 + 199. Let j(k) = 0. Calculate k.
97
Let y be -12 + 9 + 1 + 2. Let o(b) be the third derivative of -3/8*b**4 + b**3 + 1/20*b**5 + 0 + y*b - 5*b**2. Factor o(j).
3*(j - 2)*(j - 1)
Let r(g) = 3*g + 24. Let u be r(7). Let -u*l + 2*l**2 + 20*l + 15*l - 12 = 0. Calculate l.
-1, 6
Suppose -3*l + 11 = 2*n - 0*l, -n - 4*l + 3 = 0. Let g(z) = -z**2 + 8*z - 4. Let h be g(n). Suppose -1 - 2*t**5 + t**h + t**4 + 1 = 0. Calculate t.
-1/2, 0, 1
Let u(p) be the third derivative of -p**9/68040 - p**8/30240 + p**7/5670 - 11*p**4/12 + 9*p**2. Let h(l) be the second derivative of u(l). Solve h(b) = 0.
-2, 0, 1
Let l = 37648 + -1656443/44. Let z = 7/4 - l. Let 0 - 2/11*i - z*i**2 = 0. What is i?
-1, 0
Let m(c) be the first derivative of -c**4 + 0*c + 16 - 4/3*c**3 - 1/5*c**5 + 0*c**2. Factor m(s).
-s**2*(s + 2)**2
Let g(j) be the first derivative of 5*j**4/8 + 25*j**3/6 + 15*j**2/4 - 45*j/2 + 70. Solve g(o) = 0.
-3, 1
Let g = -5 - -8. Let z be 8 + (-1 - ((3 - 6) + 2)). Suppose 0 + 5*f - 6*f**3 - g + f + z*f**4 - 5*f**4 = 0. Calculate f.
-1, 1
Let w(q) = -48 + q**2 - 12*q - 54*q + 110*q**2 + 12 - 12*q**3. Let c(m) = m**3 + m**2 - m. Let n(s) = -18*c(s) + w(s). Let n(o) = 0. Calculate o.
-2/5, 3/2, 2
Let j(h) be the third derivative of h**6/120 + 7*h**5/10 - 574*h**2. What is u in j(u) = 0?
-42, 0
Let q(u) = -5*u**2 - 18*u - 18. Suppose 13*h = 9*h + 8. Let v(l) = -10*l**2 - 35*l - 35. Let t(j) = h*v(j) - 5*q(j). Factor t(y).
5*(y + 2)**2
Let c(d) be the third derivative of d**7/210 - d**6/30 + d**5/60 + d**4/4 - 39*d**2. Factor c(f).
f*(f - 3)*(f - 2)*(f + 1)
Let m be 3/(-24) + 207/(-4032)*-8. Determine x, given that m*x - 2/7*x**2 + 0 - 2/7*x**3 + 2/7*x**4 = 0.
-1, 0, 1
Suppose -2159 + 2195 = 12*o. Let d(v) be the first derivative of 0*v - 4/3*v**o + 0*v**2 + 3. Factor d(z).
-4*z**2
Let p(y) = 70*y**3 + 150*y**2 + 177*y + 31. Let o(f) = -f**3 - f**2 - 12*f - 1. Let j(s) = -6*o(s) - p(s). Factor j(k).
-(k + 1)*(8*k + 5)**2
Let r(m) be the first derivative of -m**3/3 - 9*m**2/2 - 18*m - 148. Find u such that r(u) = 0.
-6, -3
Let a(n) = -8*n**2 - 4*n + 16. Let o(x) = 9*x**2 + 3*x - 17. Let b(y) = -5*a(y) - 4*o(y). Factor b(i).
4*(i - 1)*(i + 3)
Factor -245 - 80*c - 95*c - 3*c**3 + 1719*c**2 - 2*c**3 - 1654*c**2.
-5*(c - 7)**2*(c + 1)
Let y be (-6)/(20/(-8)*12/15). Let s = -26 - -53/2. Factor 5/2*q**y - 9/2*q**2 - s*q**4 - 1 + 7/2*q.
-(q - 2)*(q - 1)**3/2
Let s(i) be the first derivative of -i**6/9 - 2*i**5/45 + 11*i**4/18 - 2*i**3/9 - 8*i**2/9 + 8*i/9 + 192. Let s(z) = 0. What is z?
-2, -1, 2/3, 1
Let t(j) = -j**2 - 4*j + 437. Let n be t(19). Let p be (-2)/(-9) - (-16)/36. Factor -1/3*h - 1/3*h**5 + 0*h**2 + n + 0*h**4 + p*h**3.
-h*(h - 1)**2*(h + 1)**2/3
Let u = -13/59 - -268/413. Factor u*o**4 - 6/7 - 3/7*o**3 - 9/7*o**2 + 15/7*o.
3*(o - 1)**3*(o + 2)/7
Let l be (-3 - 0)/((-23)/23). Suppose -4 = -k - 2. Factor -p**3 - 3*p**4 + 3*p**2 + 0*p**l - 2*p**2 + p**k.
-p**2*(p + 1)*(3*p - 2)
Let w(m) be the second derivative of m**4/60 - 14*m**3/15 - 29*m**2/10 + 222*m. Factor w(y).
(y - 29)*(y + 1)/5
Suppose 18*x - 471*x**4 + 938*x**4 - 27*x**3 - 455*x**4 - 3*x**2 = 0. What is x?
-3/4, 0, 1, 2
Factor 85*f**2 - 16*f**3 + 36 + 75*f**2 - 106*f - 48*f + 6*f.
-4*(f - 9)*(2*f - 1)**2
Let g(k) be the second derivative of -1/10*k**3 - 11*k + 0*k**2 + 3/100*k**5 + 1/50*k**6 - 1/20*k**4 + 0. Let g(m) = 0. What is m?
-1, 0, 1
Determine r so that -3/5*r**4 - 3/5*r**5 + 0*r + 3/5*r**2 + 3/5*r**3 + 0 = 0.
-1, 0, 1
Let t = 1123487/57320 - 3/11464. Determine w so that 0 + 70*w**3 - t*w**4 - 176/5*w**2 + 24/5*w = 0.
0, 2/7, 3
Let n(s) = -8*s**2 + 2*s + 1. Let u be n(-1). Let c(f) = -2*f + 8. Let y be c(u). Let -4*r**2 + 25 - y + 3*r**2 - 2*r = 0. Calculate r.
-1
Let v be 11 + (-91)/14 + -1*(2 - -2). Factor -121/2 - 11*d - v*d**2.
-(d + 11)**2/2
Let w(t) be the first derivative of t**6/33 + 4*t**5/55 - 4*t**3/33 - t**2/11 - 173. Factor w(n).
2*n*(n - 1)*(n + 1)**3/11
Let f = -19 - -23. Suppose l + 4*l = -f*i - 12, 5*l = 2*i - 24. Factor 5*h**2 + 4*h**3 + 7*h**2 - 4*h**i.
4*h**2*(h + 2)
Find m such that 10*m - 2/5*m**4 - 14*m**2 + 0 + 22/5*m**3 = 0.
0, 1, 5
Let g(j) be the third derivative of 1/105*j**5 + 0 + 0*j - 1/280*j**6 + 1/42*j**4 - 1/2352*j**8 + 0*j**3 - 2/735*j**7 - 7*j**2. What is s in g(s) = 0?
-2, -1, 0, 1
Solve -1/2*y**3 + 8*y**2 + 7 - 29/2*y = 0.
1, 14
Let r be (9/(-21) - (660/(-42))/(-10)) + 5. Let 1/6*j**r - 1/2*j - 1/3 + 0*j**2 = 0. What is j?
-1, 2
Let x(a) be the first derivative of -9 - 9/2*a + 3/4*a**2 - 1/24*a**3. Factor x(t).
-(t - 6)**2/8
Suppose 0 = 10*d - 11*d + 136. Let h be (d/(-51))/(2/(-5)). Solve 10/3*m + 2/3*m**5 - 2/3 + h*m**3 - 10/3*m**4 - 20/3*m**2 = 0 for m.
1
Suppose -90 = -12*x + 3*x. Suppose -7*y - x = -12*y. Factor 0*r**y + 0 - 2/9*r + 2/9*r**3.
2*r*(r - 1)*(r + 1)/9
Factor -18/7*f**3 + 180/7*f - 300/7 + 33/7*f**2 - 3/7*f**4.
-3*(f - 2)**2*(f + 5)**2/7
Let d = -2443 + 2445. Let -3/7*b**d - 6/7*b + 0 = 0. What is b?
-2, 0
Let x be (-4)/14 + (-432)/(-42). Let -2 + 8*q**2 + 6 + 0 - x*q - 2*q**3 = 0. Calculate q.
1, 2
Let d be (8 - (-11 - -29)) + 12. Let -d*k**2 + 0 + 4/5*k = 0. Calculate k.
0, 2/5
Let f = -330 + 181. Let l = f - -149. Determine u so that -2/5*u**5 + 0*u + 0 + 0*u**2 + l*u**4 + 2/5*u**3 = 0.
-1, 0, 1
Let g(o) be the second derivative of o**8/5880 - o**6/630 + o**4/84 - 4*o**3 - 18*o. Let f(z) be the second derivative of g(z). Determine w so that f(w) = 0.
-1, 1
Suppose -193 + 157 = -9*y. Factor -2/11*j**2 + 6/11*j**3 - 6/11*j**y + 2/11*j**5 + 0*j + 0.
2*j**2*(j - 1)**3/11
Let w = 12 - 10. Let z be (-5 - -2)*3/(-3). Solve -1 - n + 1 + 2*n**2 - w + n**z = 0 for n.
-2, -1, 1
Let p be 8/10*(-1 - (-6)/(-4)). Let x(m) = 30*m**3 - 134*m**2 + 72*m + 34. Let g(y) = y**3 - y**2 + 1. Let t(c) = p*g(c) + x(c). Let t(b) = 0. What is b?
-2/7, 1, 4
Let q = 1755/82 - 816/41. Factor q*t + 3/4*t**2 + 0.
3*t*(t + 2)/4
Let t be ((-1 - -2)*2)/((-12)/(-18)). Factor 5*a + 8*a**2 - 15 - 4*a**3 + 0*a**t - a**3 + 7*a**2.
-5*(a - 3)*(a - 1)*(a + 1)
Let o(i) = -4*i**3 - 22*i**2 + 128. Let g be (-2 + -1)/(-6)*(10 + -12). Let q(f) = -f**2. Let p(n) = g*o(n) - 2*q(n). Factor p(w).
4*(w - 2)*(w + 4)**2
Let 25/4*w + 6 + 1/4*w**2 = 0. Calculate w.
-24, -1
Let d(f) be the third derivative of 1/15*f**5 + 2*f**3 + 27*f**2 + 2/3*f**4 + 0*f + 0. Factor d(q).
4*(q + 1)*(q + 3)
Let d(l) = -3*l - 12. Let t be d(-5). Suppose -4*p = -12, t*p + 2 = 2*v + 5. Factor -4*i**4 - 56*i**5 + 52*i**5 + 2*i**3 + 4*i**2 + 2*i**v.
-4*i**2*(i -