 4*n**3.
-4*(n - 2)*(n - 1)**2
Let d = 102337/2 - 51167. Determine m, given that -93/2*m + d*m**2 - 48 = 0.
-1, 32
Let x be 18/24*((-42)/7 + -2). Let k be (120/28 + x)/((-15)/63). Let 24/5*h**3 + 8/5 + 52/5*h**2 + k*h = 0. Calculate h.
-1, -2/3, -1/2
Let a = 19379/6195 - 184/59. Let m(p) be the third derivative of 0 - a*p**7 - 1/27*p**3 - 1/45*p**6 + 0*p + 16*p**2 + 1/27*p**4 + 1/135*p**5. Factor m(f).
-2*(f + 1)**2*(3*f - 1)**2/9
Factor 2834/15*v**2 + 2/15*v**4 + 11616/5 - 164/15*v**3 + 7216/5*v.
2*(v - 44)**2*(v + 3)**2/15
Factor -32*f - 387 - 39*f**2 - 10*f + 467 + f**3.
(f - 40)*(f - 1)*(f + 2)
Let s(m) = m**3 - 2*m**2 - 13*m - 3. Let t be s(6). Let f be (84/t)/((-4)/(-9)). Factor -2*n**4 + n**4 + 6*n**f - 46*n**2 + 37*n**2.
-n**2*(n - 3)**2
Let k(t) be the third derivative of -t**6/24 - 119*t**5/12 - 725*t**4 + 3000*t**3 + 581*t**2. What is y in k(y) = 0?
-60, 1
Factor 0 + 9/4*y - 21/4*y**3 + 29/8*y**2 - 5/8*y**4.
-y*(y - 1)*(y + 9)*(5*y + 2)/8
Let m be (2/(-29) + 31/29)*0/204. Suppose 2*f**2 - 10/13*f**3 + 12/13*f + m = 0. Calculate f.
-2/5, 0, 3
Let c(h) be the second derivative of 0 + 0*h**3 + 6*h**2 - 1/16*h**4 - 26*h. Factor c(j).
-3*(j - 4)*(j + 4)/4
Let z(f) be the third derivative of f**5/120 + 7*f**4/16 + 17*f**3/3 + 120*f**2 + 3*f. Suppose z(a) = 0. What is a?
-17, -4
Let b be ((-3)/((-15)/(-4)))/((-132)/(-330)). Let c be (12000/(-1250))/((-3)/(-20)*b). Factor c + 1/2*o**2 - 8*o.
(o - 8)**2/2
Let z(n) = -20*n**3 - 14*n**2 + 1348*n + 342. Let o(d) = 22*d**3 + 15*d**2 - 1339*d - 342. Let t(g) = -4*o(g) - 6*z(g). Factor t(w).
4*(w - 9)*(2*w + 19)*(4*w + 1)
Suppose 0 = -199*y + 17068 - 16670. Factor -2/5*v**3 + 0 - 6*v**y + 32/5*v.
-2*v*(v - 1)*(v + 16)/5
Suppose 59*t + 59*t = 111*t + 189. Let y(z) be the second derivative of -1/2*z**3 - 1/2*z**2 - t*z + 0 + 7/3*z**4. Factor y(s).
(4*s - 1)*(7*s + 1)
Let s(p) be the second derivative of 7*p**5/90 + 155*p**4/54 + 289*p**3/27 + 47*p**2/3 - 51*p + 26. Suppose s(q) = 0. Calculate q.
-141/7, -1
Let k(r) be the first derivative of -r**4/16 + 391*r**3/12 - 38415*r**2/8 + 38025*r/4 - 3608. Factor k(f).
-(f - 195)**2*(f - 1)/4
Let g = -1 - -16. Let h be 9/g + (-7)/(-5). Find t, given that t + 2*t**h + 54 - 17 + 19*t + 13 = 0.
-5
Let u be -16*4/8 - -11. Suppose 0*v + u*v = -5*n + 15, -2*v = -3*n + 9. Factor 2/3*k**2 + 0*k + 0 + 2/9*k**4 + 8/9*k**n.
2*k**2*(k + 1)*(k + 3)/9
Let n(k) be the first derivative of 2*k**5/23 + 7*k**4/46 + 4*k**3/69 + 2033. Factor n(x).
2*x**2*(x + 1)*(5*x + 2)/23
Let n be (-75)/20*120000/(-3500). Factor -3/7*h**3 - 480/7*h - n - 69/7*h**2.
-3*(h + 3)*(h + 10)**2/7
Let i(b) = 20*b**2 + 740*b + 1960. Let q(r) = 13*r**2 + 485*r + 1307. Let k(z) = 5*i(z) - 8*q(z). Factor k(m).
-4*(m + 4)*(m + 41)
Determine s, given that 16/5 + 2/5*s**3 + 4/5*s - 2*s**2 = 0.
-1, 2, 4
Suppose 3*n - 4*q = 21, -n + 42*q - 39*q = -12. Suppose -n*c**2 + 1/3*c**3 - 5 + 23/3*c = 0. Calculate c.
1, 3, 5
Let n(g) = 4*g**4 + 150*g**3 + 1680*g**2 + 3680*g - 14. Let j(t) = t**4 + 30*t**3 + 336*t**2 + 736*t - 3. Let i(a) = 28*j(a) - 6*n(a). Factor i(p).
4*p*(p - 23)*(p + 4)**2
Let g(f) = f**2 - 9*f - 16. Let x(n) be the third derivative of n**5/30 - n**4/3 - 3*n**3 + 4*n**2 + 2. Let z(y) = 4*g(y) - 3*x(y). Let z(p) = 0. What is p?
-5, -1
Let l be (-1)/(-3) - (-16)/(-12). Let f be 0 - (l - 1/1). Factor 11*h**4 + 5*h**f + 5*h**4 + 8*h**4 - 29*h**4.
-5*h**2*(h - 1)*(h + 1)
Let o be (-15)/(270/28)*-18 + -3 + -1. Let t(l) be the first derivative of 4*l**4 - 34 - 18*l - 2/5*l**5 + o*l**2 - 44/3*l**3. Factor t(x).
-2*(x - 3)**2*(x - 1)**2
Let q(s) be the third derivative of 0*s - 140*s**2 + 0 - 1/60*s**5 - 3/2*s**3 - 5/12*s**4. Factor q(m).
-(m + 1)*(m + 9)
Suppose -1477*p + 14 = 1475*p - 2945*p. Factor 160/3*s - 1/3*s**p - 6400/3.
-(s - 80)**2/3
Let b(s) be the third derivative of 70*s**2 + 7/12*s**6 + 0 + 20/3*s**3 - 35/4*s**4 + 0*s + 15/4*s**5. Determine w so that b(w) = 0.
-4, 2/7, 1/2
Suppose -5*u + 18 = 3*q, 0 = 5*u + 6*q - q - 20. Suppose 5*c + y = c + 9, u*y - 3 = 0. Factor 4*s**3 + s**2 + 2*s**c - 4*s - s**2 + 8 - 10*s**2.
4*(s - 2)*(s - 1)*(s + 1)
Let n(f) be the first derivative of f**7/168 - f**6/24 + f**5/10 - f**4/12 - 222*f - 175. Let l(p) be the first derivative of n(p). Factor l(j).
j**2*(j - 2)**2*(j - 1)/4
Let j = 66 - 79. Let m(f) = -f**2 - 11*f + 28. Let l be m(j). Factor 22*z + 30*z**2 - 62*z - 15 - 60*z**l + 9*z**4 - 4*z**4.
5*(z - 3)*(z + 1)**3
Let d(k) = -k**2 - 6*k - 5. Let y(i) = 6*i**2 + 68*i - 76. Let u(j) = -4*d(j) - y(j). Factor u(m).
-2*(m - 2)*(m + 24)
Suppose 5*y = -20, -4*o - 2*y - y = -12. Factor -o*d**4 + 6*d**4 + 2*d**4 + 6*d**4 - 6*d**2 - 4*d - 6*d**4.
2*d*(d - 2)*(d + 1)**2
Let i(g) be the second derivative of 21*g - 1/21*g**7 - 1/2*g**4 + 2 - 1/3*g**6 + 0*g**2 - 7/10*g**5 + 0*g**3. Let i(r) = 0. What is r?
-3, -1, 0
Determine b so that -6 - 180/11*b**3 + 4/11*b**5 + 26/11*b**4 + 200/11*b**2 + 16/11*b = 0.
-11, -1/2, 1, 3
Let x be (-3)/(-8) + (-3611)/(-184). Let r(j) = 3*j**2 - 36*j - 7. Let z(h) = -2*h**2. Let l(v) = x*z(v) + 5*r(v). Factor l(y).
-5*(y + 7)*(5*y + 1)
Let g(n) be the third derivative of n**7/735 - n**6/56 - 29*n**5/420 + n**4 + 3690*n**2. Factor g(r).
r*(r - 8)*(r - 3)*(2*r + 7)/7
Let z(j) = -26*j**2 - 47*j + 208. Let y(k) = 14*k**2 + 24*k - 104. Let a be (-3 - (-9)/7)/(2/7). Let o(g) = a*z(g) - 11*y(g). Factor o(i).
2*(i - 4)*(i + 13)
Let v(q) be the first derivative of 7/9*q**2 + 75 + 4*q - 56/27*q**3 + 1/6*q**4. Factor v(w).
2*(w - 9)*(w - 1)*(3*w + 2)/9
Determine f, given that -1 - f**3 - 21/8*f**2 - 11/4*f - 1/8*f**4 = 0.
-4, -2, -1
Factor 43*l**3 + 12485909 - 12487151 - 243*l + 138*l**2 - 16*l**3.
3*(l - 3)*(l + 3)*(9*l + 46)
Let v(q) be the second derivative of 35/2*q**2 + 1/140*q**5 - 21*q + 11/56*q**4 + 0*q**3 + 0. Let k(d) be the first derivative of v(d). Factor k(u).
3*u*(u + 11)/7
Determine v, given that -13*v**2 - 8*v**2 - 881*v + 16*v**2 + 0*v**2 + 271*v = 0.
-122, 0
Let w(x) be the third derivative of -1/60*x**5 + 86*x**2 + 0*x + 11/12*x**4 + 23/6*x**3 + 0. Determine z, given that w(z) = 0.
-1, 23
Let j = 5037 - 5035. Let n(t) be the second derivative of 15/4*t**5 + 0*t**6 + 0 - 25/6*t**4 - 50*t**3 + 7*t + 180*t**j - 5/42*t**7. Factor n(u).
-5*(u - 2)**3*(u + 3)**2
Let q(w) = -4*w**5 + 4*w**4 + w**3 + w**2 + w. Let i(l) = -23*l**5 + 16*l**4 + 24*l**3 + 6*l**2 - 21*l. Let m(u) = i(u) - 6*q(u). Factor m(s).
s*(s - 3)**3*(s + 1)
Let r = -36 - -32. Let p(d) = -d**2 - 5*d + 2. Let i be p(r). Factor i*t**3 + 3*t**4 - 2597 + 2597.
3*t**3*(t + 2)
Let d be 12 + (3 + 126/(-14) - 1). Determine l, given that -147/5*l**d + 24/5 - 378/5*l**4 + 354/5*l**2 - 33/5*l**3 + 36*l = 0.
-2, -1, -2/7, 1
Find y, given that -60*y**2 + 204 + 76*y - y**3 - 4*y**3 + y**3 - 39*y + 111*y = 0.
-17, -1, 3
Let i(x) be the third derivative of x**7/1260 + 13*x**6/720 + x**5/9 + 9*x**2 + 345*x. Solve i(r) = 0 for r.
-8, -5, 0
Let d(j) be the third derivative of -j**5/40 - 11*j**4/16 - 15*j**3/2 + 28*j**2 - 9. Factor d(h).
-3*(h + 5)*(h + 6)/2
Let 697*k**2 + 7*k + 4*k + 9*k - 802*k**2 + 105*k**3 - 20*k**4 = 0. Calculate k.
0, 1/4, 1, 4
Let o(k) be the first derivative of k**4/2 + 26*k**3 + 176*k**2 + 408*k + 1845. Let o(n) = 0. What is n?
-34, -3, -2
Factor 285437 + 3870*v - 32*v**2 + 27*v**2 - 1034282.
-5*(v - 387)**2
Let c(f) be the second derivative of f**5/30 - 2*f**4 - 79*f**3/9 + 38*f**2 + 4*f - 59. Let c(l) = 0. What is l?
-3, 1, 38
Let t(n) be the first derivative of 3240*n**2 + 87 - 180*n**4 + 360*n**3 - 19440*n - 5/6*n**6 + 21*n**5. Let t(u) = 0. Calculate u.
-3, 6
Let p(d) be the first derivative of -4*d**3/15 + 3208*d**2/5 + 1284*d + 1462. Factor p(g).
-4*(g - 1605)*(g + 1)/5
What is j in 1/3*j**2 + 664/3*j + 110224/3 = 0?
-332
Let z(l) be the first derivative of l**3/21 + 47*l**2 - 1320*l/7 + 6486. Factor z(c).
(c - 2)*(c + 660)/7
Let y(n) be the third derivative of -1/160*n**6 + 7/32*n**4 + 0 + 24*n**2 - 2*n + 1/2*n**3 + 1/40*n**5. Factor y(a).
-3*(a - 4)*(a + 1)**2/4
Let u(y) be the third derivative of -y**6/300 + 2*y**5/15 - 67*y**4/60 + 16*y**3/5 - 4*y**2 - 70*y. Find h, given that u(h) = 0.
1, 3, 16
Let h be 2/2 - -1 - 0. Let u be 6 - (5112/162 - 26). Suppose 0*n - u*n**4 + 2/3*n**3 + 0*n**h + 0 - 2/9*n**5 = 0. What is n?
-3, 0, 1
Factor 784 + 588/5*v