.
2*c*(c - 46)*(c - 2)/13
Let u(o) be the second derivative of -o**6/210 + 31*o**5/140 - 53*o**4/14 + 192*o**3/7 - 432*o**2/7 + 3*o - 23. Factor u(n).
-(n - 12)**2*(n - 6)*(n - 1)/7
Let c(h) be the first derivative of -h**4 + 3/2*h**2 + 1/6*h**6 + 2/3*h**3 + 45 - 2/5*h**5 + 0*h. Let c(m) = 0. Calculate m.
-1, 0, 1, 3
Solve 27*z**2 + 29*z**4 + 125*z**2 + 0*z**3 - 128*z - 23*z**3 + z**3 - 31*z**4 = 0.
-16, 0, 1, 4
Let j = 8787 - 8785. Let c(i) be the third derivative of -8*i**j + 343/10*i**3 + 0 + 21/100*i**5 - 1/200*i**6 - 147/40*i**4 + 0*i. Suppose c(x) = 0. What is x?
7
Suppose 608*u - 12 - 384*u + 558*u - 76*u**2 + 338*u**2 = 0. Calculate u.
-3, 2/131
Let y(v) be the second derivative of v**4/54 - 8*v**3/27 - 17*v**2 + 215*v - 3. Factor y(t).
2*(t - 17)*(t + 9)/9
Let 122/21*g + 2/21*g**2 + 152/7 = 0. What is g?
-57, -4
Let k(u) = u**3 - 6*u**2 + 7*u - 22. Let y be k(8). Let o be 4/4 + 1 + (-252)/y. Find p such that 4/9*p**3 - o + 8/9*p**2 - 2/9*p**5 - 2/9*p - 4/9*p**4 = 0.
-2, -1, 1
Let s(d) = 10*d**3 - 40*d**2 + 175*d - 130. Let i(y) = -11*y**3 + 37*y**2 - 175*y + 131. Let a(c) = 5*i(c) + 6*s(c). Factor a(l).
5*(l - 5)**2*(l - 1)
Let h(p) be the second derivative of 7/10*p**5 + 0 + 47/3*p**3 - 10*p**2 + 112*p - 22/3*p**4. Find f such that h(f) = 0.
2/7, 1, 5
Let r(j) = -j**4 + j**3 - 13*j**2 + j + 1. Let k(u) = 3*u**4 + 8*u**3 + 42*u**2 - 16*u + 7. Let q(m) = k(m) + 4*r(m). Factor q(i).
-(i - 11)*(i - 1)**2*(i + 1)
Let r(b) = 15*b**2 - 335*b - 2010. Let c(l) = -23*l**2 + 501*l + 3016. Let f(z) = 5*c(z) + 8*r(z). Factor f(k).
5*(k - 40)*(k + 5)
Let k be (-38134)/(-69)*3/(-6). Let i = -276 - k. Let 4/3*o - 1/3*o**3 - 4/3 + i*o**2 = 0. Calculate o.
-2, 1, 2
Let m(s) be the second derivative of 1/360*s**6 - 24*s + 0 - 1/40*s**5 + 0*s**2 + 0*s**4 + 4*s**3. Let v(n) be the second derivative of m(n). Solve v(a) = 0.
0, 3
Let l(z) be the third derivative of z**6/480 - 79*z**5/40 + 473*z**4/96 + 1931*z**2. Solve l(h) = 0.
0, 1, 473
Let s(b) be the first derivative of 1/42*b**5 + 0*b - b**3 + 25/84*b**4 + 6 + 1/1260*b**6 + 0*b**2. Let l(z) be the third derivative of s(z). Factor l(j).
2*(j + 5)**2/7
Suppose 171 = 2*k + 5*r, -5*r + 357 = 3*k + k. Suppose 0 = k*m - 104*m + 33. Factor -1/5*v**m + 0*v + 1/5*v**5 + 1/5*v**2 + 0 - 1/5*v**4.
v**2*(v - 1)**2*(v + 1)/5
Let i = 187037 + -1122221/6. Factor -4*c + 11/6*c**2 - i*c**3 - 6.
-(c - 6)**2*(c + 1)/6
Let k(j) = -14*j**3 - 16*j**2 + 9*j - 47. Let d(h) = 27*h - 14*h - 6*h**2 - 16 - 5*h**3 - 10*h. Let v(b) = 17*d(b) - 6*k(b). Factor v(g).
-(g - 1)*(g + 2)*(g + 5)
Factor -37556*b**2 - 892*b**3 - 198024*b - 98568 - 2*b**4 - 18856*b**2 - 43934*b**2.
-2*(b + 1)**2*(b + 222)**2
Let i = 23659 + -23659. Let a(f) be the first derivative of 10*f**4 - 31 - 7/2*f**5 - 10*f**3 + 0*f**2 + i*f + 5/12*f**6. Factor a(m).
5*m**2*(m - 3)*(m - 2)**2/2
Suppose 43*y + 6*y = -6*y + 110. Let x(l) be the first derivative of -3/2*l**4 + y + 3*l**2 - 3/5*l**5 + 0*l**3 + 3*l. Factor x(d).
-3*(d - 1)*(d + 1)**3
Factor 1482*c - 1369 + 5065 + 1788*c**2 - 207*c**3 - 2879*c - 3*c**4 - 3175*c.
-3*(c - 4)*(c - 2)**2*(c + 77)
Let k(n) be the first derivative of 4*n**5/5 - 33*n**4 + 320*n**3 - 1184*n**2 + 1536*n + 1521. Factor k(p).
4*(p - 24)*(p - 4)**2*(p - 1)
Suppose 111/5*f - 3/5*f**2 + 234/5 = 0. What is f?
-2, 39
Factor 23 - 1/3*a**2 - 20/3*a.
-(a - 3)*(a + 23)/3
Suppose -s + 98 = 4*x, 4*x - 7*s + 10*s = 94. Suppose 0 = 9*v - x + 7. Find q, given that -2/5*q**3 + 6/5*q**2 + v*q - 2/5*q**4 + 4/5 = 0.
-1, 2
Let h(o) = 71*o - 23*o + 41*o + 83*o**2 - 36*o**3 + 9 - 39. Let j(a) = 36*a**3 - 82*a**2 - 90*a + 28. Let w(b) = -2*h(b) - 3*j(b). Factor w(m).
-4*(m - 3)*(m + 1)*(9*m - 2)
Let c(s) be the second derivative of s**6/120 + s**5/6 + 2*s**4/3 - 4*s**2 - 28*s. Let x(z) be the first derivative of c(z). What is q in x(q) = 0?
-8, -2, 0
Let u(w) = w**2 + 9*w - 1. Let t(l) = -2*l. Let f(p) = 6*t(p) + u(p). Let h(c) = -2*c**2 - 58*c - 74. Let v(y) = 6*f(y) + h(y). Factor v(i).
4*(i - 20)*(i + 1)
Find f such that -2267/2*f - 453 - 5/2*f**2 = 0.
-453, -2/5
What is m in 3*m**3 + 1/4*m**4 - 7/2*m**2 - 3*m + 13/4 = 0?
-13, -1, 1
Let m(n) be the third derivative of -68*n**2 + 1/20*n**4 + 1/150*n**5 - 1/100*n**6 - 2/15*n**3 + 1/525*n**7 + 0*n + 0. Factor m(t).
2*(t - 2)*(t - 1)**2*(t + 1)/5
Suppose -969*q + 1347 + 1425 = -90*q + 45*q. Factor -18/11*n**2 - 2/11*n**q + 42/11*n - 2.
-2*(n - 1)**2*(n + 11)/11
Let q(f) = -10*f**2 + 5. Let t = -60 + 55. Let n(y) = 2 - 11*y**2 + 2 + 2. Let b(k) = t*n(k) + 6*q(k). Factor b(u).
-5*u**2
Let y be (18/(135/15))/((-63)/24 + 5). Factor -y*s**2 + 0 - 14/19*s - 2/19*s**3.
-2*s*(s + 1)*(s + 7)/19
Let s(l) = 2*l**2 + 13*l - 13. Let y be s(1). What is b in -1 - 92*b + 3*b**y + 83*b + 7 = 0?
1, 2
Let h(s) be the second derivative of s**6/150 + 59*s**5/25 + 1596*s**4/5 + 57760*s**3/3 + 1755904*s**2/5 + 4*s - 184. Factor h(n).
(n + 8)*(n + 76)**3/5
Suppose -3*f + 7 = -4*v, 0*f = -4*f - 5*v + 30. Suppose -f*n = 5*o + 15, 22 = -2*n + 5*o + 51. Factor -3*y**3 - 2*y**2 - y**3 + 5*y**3 - n*y**3 - y.
-y*(y + 1)**2
Suppose -570*d = 105*d - 1350. Find f such that 1/4*f**d + 21*f + 441 = 0.
-42
Suppose -12*t - 9*t = -21. Let x(h) = 16*h - 14. Let b be x(t). Suppose 6/13*u + 0*u**b + 4/13 - 2/13*u**3 = 0. What is u?
-1, 2
Let p(r) be the first derivative of -4/3*r**3 - 127 + 0*r + 16*r**2. Factor p(s).
-4*s*(s - 8)
Let v(s) be the first derivative of -s**5/80 - s**2 - 70. Let m(d) be the second derivative of v(d). What is o in m(o) = 0?
0
Let u be 8/(-4)*3300/(-360). Suppose 10/3*r**4 + u*r**3 + 0 + 10*r + 85/3*r**2 = 0. Calculate r.
-3, -2, -1/2, 0
Let x(g) = -22*g**2 - 63*g - 255. Let t(a) = -9*a**2 - 31*a - 126. Let k(d) = 15*t(d) - 6*x(d). Factor k(l).
-3*(l + 5)*(l + 24)
Let o(s) be the third derivative of 0*s + 0*s**3 - 1/9*s**4 - 1/135*s**5 + 0 - 112*s**2. Solve o(u) = 0.
-6, 0
Let m(k) = k**4 - k**3 - 5*k**2 - 2*k. Let g(f) = 12*f**4 - 376*f**3 - 8528*f**2 - 15520*f. Let o(a) = g(a) - 16*m(a). Factor o(h).
-4*h*(h + 2)*(h + 44)**2
Let q(w) be the third derivative of -w**5/330 + 3*w**4/22 - 7*w**3/3 + 417*w**2. Suppose q(s) = 0. Calculate s.
7, 11
Let g(i) be the first derivative of 4374*i + 53 + 6*i**3 - 243*i**2 - 1/18*i**4. Let g(c) = 0. Calculate c.
27
Let v(t) = 80*t**3 + 458*t**2 - 1105*t + 606. Let z(u) = 78*u**3 + 456*u**2 - 1112*u + 604. Let m(j) = 2*v(j) - 3*z(j). Factor m(i).
-2*(i - 1)**2*(37*i + 300)
Let q be -37 - (-129 - -106) - (-19 + (0 - -2)). Solve -1/5*i**4 + 6/5*i + 0 - 1/5*i**2 - 4/5*i**q = 0.
-3, -2, 0, 1
Let p = 212151/44 - 53024/11. Factor p*f**2 + 0 + 7/4*f**3 - 1/2*f.
f*(f + 1)*(7*f - 2)/4
Let 387/2*y**2 + 54 - 168*y + 45/2*y**4 - 201/2*y**3 - 3/2*y**5 = 0. Calculate y.
1, 2, 9
Let q(w) be the first derivative of 3*w**4/4 - 2*w**3 - 36*w**2 - 1455. Solve q(i) = 0.
-4, 0, 6
Factor 44/3*y + 4/3*y**3 - 2420/3 + 68/3*y**2.
4*(y - 5)*(y + 11)**2/3
Let q(m) = 3*m**2 + 276*m + 6908. Let a(c) = 22*c - 12*c - 13*c - 1. Let f(s) = -4*a(s) + q(s). Factor f(g).
3*(g + 48)**2
Let s be (39/(-9) + 5)/((22 + -32)*(-1)/10). Suppose -s - 2/3*d**2 - 4/3*d = 0. Calculate d.
-1
Let p(u) = u**3 - 61*u**2 - 130*u + 254. Let o be p(63). Let l be (-35)/(-455) + o/(-26). Factor -2/13*f**2 - 2/13*f + l.
-2*f*(f + 1)/13
Let y(b) be the second derivative of 0 - 45*b**2 - 5/2*b**3 + 5/12*b**4 + 85*b. Factor y(l).
5*(l - 6)*(l + 3)
Let 3000/7 + 2050/7*t + 2/7*t**4 + 510/7*t**2 + 54/7*t**3 = 0. Calculate t.
-12, -5
Let v(y) = 191*y - 1910. Let k be v(10). Factor -1/5*t**3 + 0 + k*t**2 + 4/5*t.
-t*(t - 2)*(t + 2)/5
Let z(u) be the third derivative of -u**8/53760 - u**7/5040 - u**6/1920 - u**4/12 + 13*u**3/3 + 4*u**2. Let n(g) be the second derivative of z(g). Factor n(r).
-r*(r + 1)*(r + 3)/8
Determine z, given that -2*z**2 + 14/9*z**3 - 1/9*z**5 + 5/3 - 13/9*z + 1/3*z**4 = 0.
-3, -1, 1, 5
Let n be ((-127)/(-4))/(-4 + 324/80). Factor n*w + 5*w**3 + 78 - 850*w**2 + 172 - 40*w**3.
-5*(w - 1)*(w + 25)*(7*w + 2)
Solve 348*d + 67*d**2 - 37*d**2 - 36*d**2 - 180 - 27*d**2 = 0.
6/11, 10
Suppose -23*l + 24*l = 42. Suppose -78 = -18*p - l. Find f, given that -2/11*f**p - 28/11*f - 98/11 = 0.
-7
Factor 57/4*j - 3/4*j**3 - 21/2 - 3*j**2.
-3*(j - 2)*(j - 1)*(j + 7)/4
Determine h so that 5*h**2 + 19*h**2 - 173*h**3 + 208*h**3 + 30*h**3 - 24