- j**5/15 + 7*j**4/12 + 2*j**3/3 - 3*j**2/2 - 19. Let w(o) be the second derivative of z(o). Factor w(l).
-2*(l - 1)*(l + 1)*(7*l + 2)
Let r(l) be the first derivative of l**5/15 + l**4/6 - 4*l**3/9 - l**2/3 + l + 134. Factor r(q).
(q - 1)**2*(q + 1)*(q + 3)/3
Let i(s) be the first derivative of 28*s**3/3 - 22*s**2 + 16*s - 337. Suppose i(u) = 0. What is u?
4/7, 1
Let j(o) = -o**3 + 13*o**2 + 2. Let p be j(13). Factor -34*g**3 - g**2 + 5*g**4 + 10*g + 24*g**3 - p*g**2 - 2*g**2.
5*g*(g - 2)*(g - 1)*(g + 1)
Let b(y) be the first derivative of -4/15*y**2 + 2/45*y**3 + 24 + 2/5*y. Factor b(g).
2*(g - 3)*(g - 1)/15
Let x(y) be the third derivative of 1/15*y**6 + 4/3*y**4 + 0 + 0*y - 8/3*y**3 - 8*y**2 - 2/5*y**5 - 1/210*y**7. Factor x(w).
-(w - 2)**4
Let n(f) be the third derivative of f**8/2520 - 2*f**7/525 + f**6/90 - 11*f**4/180 + 2*f**3/15 + 6*f**2 + 2*f. Find b, given that n(b) = 0.
-1, 1, 2, 3
Let k(q) be the second derivative of 1/18*q**3 + 1/24*q**5 + 7/72*q**4 + q + 0*q**2 + 0. Factor k(x).
x*(x + 1)*(5*x + 2)/6
Let h(m) be the third derivative of m**7/840 - m**5/10 - 11*m**4/12 + 14*m**2. Let i(r) be the second derivative of h(r). Factor i(w).
3*(w - 2)*(w + 2)
Let o(q) be the second derivative of -3*q**7/14 - 4*q**6 - 12*q**5 - 15*q**4/2 + 35*q**3/2 + 33*q**2 + 320*q. What is m in o(m) = 0?
-11, -1, 2/3
Let n(d) be the second derivative of -d**4/28 + 41*d**3/14 - 60*d**2/7 + 150*d. Factor n(r).
-3*(r - 40)*(r - 1)/7
Let h(u) = 2*u**3 - 6*u**2 + 11*u - 11. Let d be ((-4)/(-6))/((-13)/(-39)). Let n(y) = y - 1. Let w(b) = d*h(b) - 22*n(b). Determine m so that w(m) = 0.
0, 3
Let w(p) = -8 + 1 - p + 8. Let a be w(-3). Suppose 0*v - v - v + a*v**2 - 2*v = 0. Calculate v.
0, 1
Let l(i) be the second derivative of -i**6/45 - 11*i**5/30 + 13*i**4/18 + 11*i**3/9 - 4*i**2 + 3*i + 86. Find q, given that l(q) = 0.
-12, -1, 1
Let k(q) be the third derivative of q**8/13440 + q**7/840 + q**6/160 - 4*q**5/15 + 17*q**2. Let n(f) be the third derivative of k(f). Factor n(w).
3*(w + 1)*(w + 3)/2
Suppose -8*x + 1/6*x**2 + 96 = 0. Calculate x.
24
Let x(m) = m**4 + 185*m**3 + 5768*m**2 + 59581*m + 1. Let w(u) = -u**4 - u**3 + 2*u**2 - u + 1. Let g(r) = -w(r) + x(r). Solve g(y) = 0 for y.
-31, 0
Let h(j) = 8*j**2 - 1. Let s be h(-1). Factor -s*u - 35*u + 3*u**3 + 18*u**2 + 24 + 78*u.
3*(u + 2)**3
Let q(j) be the third derivative of -j**6/320 - j**5/20 + 19*j**4/64 - 5*j**3/8 + 28*j**2 - 3. What is n in q(n) = 0?
-10, 1
Let b(a) be the third derivative of 7*a**6/30 + 12*a**5/5 + 40*a**4/7 + 128*a**3/21 - 626*a**2. Determine j so that b(j) = 0.
-4, -4/7
Suppose -4*k + 5*j - 8 = 0, -4*k + 16 + 12 = 4*j. Suppose -5*y = -k*h - 2*y - 9, 2*h - 24 = -4*y. Solve 2*m**2 - 4*m + 4*m**2 - m**2 - m**h = 0.
0, 1
Let u = -18 + 4. Let v = -13 - u. Suppose 0*z**4 - 4*z + z**3 - 3*z**4 - 4*z**3 + 7*z**3 + v + 2*z**2 = 0. Calculate z.
-1, 1/3, 1
Let i(f) = -f**5 + f**3 + f**2 + f + 1. Let w(j) = 12*j**5 + 24*j**4 + 12*j**3 - 9*j**2 - 9*j - 9. Let a(p) = 9*i(p) + w(p). Find h such that a(h) = 0.
-7, -1, 0
Let x = 12359/396 - 1075/36. Let q = -15/22 + x. Determine s so that 0 + s**2 + q*s + 1/3*s**3 = 0.
-2, -1, 0
Let w(z) = 3*z + 212. Let l be w(-70). Solve 0 - 3/2*t**l - 3/2*t = 0 for t.
-1, 0
Let g(o) be the third derivative of -o**8/60480 + o**7/15120 - 2*o**5/15 + 16*o**2. Let v(i) be the third derivative of g(i). Find u, given that v(u) = 0.
0, 1
Let g(c) be the first derivative of -18 + c - 1/9*c**3 + 1/3*c**2. Factor g(b).
-(b - 3)*(b + 1)/3
Let n(d) be the first derivative of d**3/2 + 99*d**2 + 6534*d - 236. Solve n(z) = 0 for z.
-66
Suppose 10*h - 3275 = -3255. Factor -1/3*a**h + 0 - 1/3*a**3 + 0*a.
-a**2*(a + 1)/3
Let -14 - 28 - 2 + 39*h + 2 + 3*h**2 = 0. Calculate h.
-14, 1
Let m(w) be the second derivative of 3*w + 0 - 10*w**2 + 0*w**3 + 5/12*w**4. Factor m(d).
5*(d - 2)*(d + 2)
Let t(c) be the first derivative of -c**5/15 - 2*c**4/3 - 8*c**3/3 - 8*c**2 - 4. Let z(j) be the second derivative of t(j). Let z(u) = 0. Calculate u.
-2
Let l(o) = o**3 + 6*o**2 + 3. Let n be l(-6). Suppose 2*a = a + n. Factor -8*w**2 - a + 2*w**3 - w**2 + 9*w + w**3.
3*(w - 1)**3
Let l(r) be the second derivative of -r**4/4 - 3*r**3 + 2*r + 7. Find w such that l(w) = 0.
-6, 0
Suppose 0 = 3*u - 8*u. Let f(k) = -3*k - 58. Let h be f(-20). Factor 3/2*i**h + 3/2*i + u.
3*i*(i + 1)/2
Let v be 2*-1 - (1 - 3). Let c be -10 + (11 - 4/(-4)). Let 4/5*t + 2/5*t**c + v = 0. What is t?
-2, 0
Let z = -2/2331 + 4672/11655. Factor 0 + 0*u + 2/5*u**3 + z*u**2.
2*u**2*(u + 1)/5
Let h(y) be the third derivative of -y**5/20 + 2*y**3 + 58*y**2 + 2*y. Solve h(s) = 0.
-2, 2
Let q(x) be the third derivative of x**6/200 - 3*x**5/50 + 3*x**4/40 + x**3 + 12*x**2 - 6*x. Factor q(j).
3*(j - 5)*(j - 2)*(j + 1)/5
Let a(u) be the second derivative of u**5/4 + 135*u**4 + 29160*u**3 + 3149280*u**2 + 407*u. Let a(z) = 0. What is z?
-108
Let r(n) = -4*n**3 - 41*n**2 + 192*n + 872. Let j(b) = -3*b**3 - 39*b**2 + 191*b + 871. Let h(m) = 5*j(m) - 4*r(m). Factor h(d).
(d - 17)**2*(d + 3)
Suppose 0 = -d + 2*f - 3*f + 5, 0 = 5*d - 3*f - 9. Let q be (4 - 0 - -1) + (1 - d). Find z such that 4/11*z**2 + 6/11*z**q + 0*z + 0 = 0.
-2/3, 0
Factor 2/5*q**4 - 48/5*q - 64/5 + 12/5*q**3 + 8/5*q**2.
2*(q - 2)*(q + 2)**2*(q + 4)/5
Factor 0*y - 35/6*y**2 - 1/6*y**3 + 0.
-y**2*(y + 35)/6
Let w(g) = -8*g**4 - 14*g**3 + 18*g**2. Let q(p) = 23*p**4 + 39*p**3 - 52*p**2 + p. Let k(l) = 4*q(l) + 11*w(l). Let k(d) = 0. Calculate d.
-2, 0, 1/2, 1
Let k(o) be the first derivative of 9 + 3/4*o**2 - 1/6*o**3 + 0*o. Factor k(z).
-z*(z - 3)/2
Suppose x - 4*f = -0*x + 4, -4*x + 16 = 3*f. Let l(k) be the third derivative of -3/50*k**5 + 0*k**3 + 0 + 7*k**2 + 1/30*k**x + 0*k. Factor l(s).
-2*s*(9*s - 2)/5
Let h(s) be the first derivative of -6*s + 1/15*s**3 + 2/15*s**2 + 4 + 1/90*s**4. Let z(o) be the first derivative of h(o). Factor z(k).
2*(k + 1)*(k + 2)/15
Let m(c) be the first derivative of c**8/2016 + c**7/420 + c**6/240 + c**5/360 + 5*c**2/2 + 5. Let n(o) be the second derivative of m(o). Factor n(y).
y**2*(y + 1)**3/6
Factor -11/6*u**2 + 13/3*u - 4/3.
-(u - 2)*(11*u - 4)/6
Let p(m) = m**2 + 2. Let t be p(4). Let x be t/10*84/63. Find i such that 0*i - 2/5*i**2 + x*i**3 + 0 - 18/5*i**4 + 8/5*i**5 = 0.
0, 1/4, 1
Let u(m) = 5 + 0*m - 3*m**2 + 3*m - m. Let z(o) = 3*o**2 - 3*o - 6. Let a = -113 + 110. Let r(i) = a*u(i) - 4*z(i). Suppose r(b) = 0. Calculate b.
-1, 3
Let i = -17 + 31. Let b be i/4*(2 + (-50)/35). Factor 2/5*y + 0 + 6/5*y**b.
2*y*(3*y + 1)/5
Let l be (-15 + 20/(-24)*-27)*27/10. Let -l - 1/4*j**2 - 9/2*j = 0. What is j?
-9
Let y(t) be the second derivative of 2*t**5/5 + 11*t**4 + 43*t**3/4 + 4*t**2 - 12*t. Factor y(n).
(n + 16)*(4*n + 1)**2/2
Let h be 2/(12/(-54)*(-19 - 5)). Find a such that 0*a**2 - h*a**3 + 1/8*a**4 + 1/2*a + 0 = 0.
-1, 0, 2
Let b(q) = 54*q + 8. Let r be b(1). Let g be (-3)/((-54)/r) + -15 + 12. Factor 0 + g*i - 2/9*i**2 - 2/9*i**3.
-2*i*(i - 1)*(i + 2)/9
Let v(g) = -945*g + 6619. Let j be v(7). Find f such that 2/5*f**3 - 14/5*f**2 - 12/5 - 26/5*f + 2/5*f**j = 0.
-2, -1, 3
Factor -4/3*r + 1/3*r**4 + 11/3*r**2 + 1/3*r**5 - 3*r**3 + 0.
r*(r - 1)**3*(r + 4)/3
Let c(t) be the first derivative of t**4/24 - t**3/6 - 4*t**2/3 - 2*t - 6. Solve c(d) = 0.
-2, -1, 6
Let l(n) be the first derivative of n**7/105 - n**6/15 + 2*n**5/15 + 9*n**2/2 - 4. Let m(r) be the second derivative of l(r). Factor m(q).
2*q**2*(q - 2)**2
Let g(f) be the first derivative of -f**9/16632 - f**8/1848 - f**7/1155 + 23*f**3/3 - 22. Let j(y) be the third derivative of g(y). Factor j(n).
-2*n**3*(n + 1)*(n + 4)/11
Let r(s) be the second derivative of -1/2*s**3 + s + 0 - s**2 - 1/12*s**4. Solve r(z) = 0.
-2, -1
Let i(f) be the first derivative of -4*f**3/3 + 102*f**2 - 200*f - 185. Let i(m) = 0. Calculate m.
1, 50
Let p be (-12)/9 - (-32)/6. Suppose -2*f + p*d = -22, d + 19 = f + 6. Factor -f*r**2 + 3*r**4 + 4*r + 9*r**3 + 0*r + 2*r - 3*r**5.
-3*r*(r - 1)**3*(r + 2)
Let y = 242/1547 + -3/221. Let f(m) be the first derivative of -4 - y*m + 3/7*m**5 + 2/21*m**6 + 0*m**2 + 10/21*m**3 + 5/7*m**4. Factor f(z).
(z + 1)**4*(4*z - 1)/7
Let z be (2 - (-5)/(-2)) + (-3065)/10. Let n = z + 3379/11. Factor 0 + 2/11*y**3 + 2/11*y**4 - n*y**5 - 2/11*y**2 + 0*y.
-2*y**2*(y - 1)