 1)**3*(j + 1)**2
Let l(s) = 3*s**3 + 5*s**2 - s + 5. Let p(t) = -477 - 2*t + 486 + 5*t**3 + 2*t**2 + 8*t**2. Let h(j) = -11*l(j) + 6*p(j). Find y, given that h(y) = 0.
-1/3, 1
Let n(x) = -13*x**2 - x - 8. Let r(f) = 7*f**2 + f + 4. Let u = -53 - -59. Let i(h) = u*n(h) + 11*r(h). Solve i(g) = 0 for g.
1, 4
Let h(o) be the first derivative of -o**9/756 + o**7/70 - o**6/45 + 10*o**3/3 + 9. Let i(m) be the third derivative of h(m). Factor i(s).
-4*s**2*(s - 1)**2*(s + 2)
Let n(p) be the second derivative of -p**4/16 + p**3 - 21*p**2/8 + 84*p. Determine w, given that n(w) = 0.
1, 7
Let i(g) be the second derivative of -g**4/54 - 56*g**3/9 - 167*g**2/9 + 28*g - 2. Determine s, given that i(s) = 0.
-167, -1
Let u = -226 - -231. Let l(h) be the third derivative of -2*h**2 + 0*h**3 + 0*h + 1/15*h**u + 0 - 1/2*h**4. Let l(m) = 0. What is m?
0, 3
Suppose 0*m - 5*f = -4*m + 16, 20 = 5*m - f. Factor -2*z**2 + 17*z**2 - 20*z**m + 10*z - 20*z**3 - 1 - 4.
-5*(z + 1)**2*(2*z - 1)**2
Factor -12*o**2 - 11*o + 8*o - 8*o**3 - 5*o - 2*o**4 - 2.
-2*(o + 1)**4
Let k(q) be the first derivative of -2*q**5/5 + 2*q**4 - 2*q**3 - 4*q**2 + 8*q + 1. Solve k(i) = 0 for i.
-1, 1, 2
Let c(r) = r**2 - 4*r - 4. Let k be c(5). Suppose 5*t - 56 = -k. Factor 3*b**3 - 5*b**5 - 2*b**2 - 12*b + 4*b**4 + t*b + b**5.
-b*(b - 1)**2*(2*b + 1)**2
Suppose 3*y - 8 = 5*y. Let g be (1/10 - y/10) + 0. Factor -1/2*h**2 - h - g.
-(h + 1)**2/2
Let j(x) be the second derivative of x**5/12 + x**4/3 - 2*x**3/3 - 16*x**2/3 + 133*x. Factor j(c).
(c + 2)**2*(5*c - 8)/3
Let c = -216 + 220. Let v(m) be the second derivative of 0*m**3 + 0 - 4*m - 1/20*m**c + 0*m**2. Solve v(k) = 0.
0
Let u = -46 - -58. Let 8*f + 5*f**4 + u*f - 5*f**3 - 20*f = 0. Calculate f.
0, 1
Let q(x) be the second derivative of -1/4*x**4 + 0 - 25*x - x**2 + 3/4*x**3 + 1/40*x**5. Solve q(j) = 0.
1, 4
Let l(s) be the second derivative of s**9/1008 - s**8/336 - s**7/420 - 5*s**3/3 - 7*s. Let r(g) be the second derivative of l(g). Factor r(m).
m**3*(m - 2)*(3*m + 1)
Suppose 30/7*z + 0 - 2*z**3 + 2/7*z**4 + 2*z**2 = 0. What is z?
-1, 0, 3, 5
Let q(a) be the first derivative of 1/2*a**2 - 8 + 1/6*a**6 + 3/2*a**4 - 4/5*a**5 + 0*a - 4/3*a**3. Let n(t) be the second derivative of q(t). Solve n(i) = 0.
2/5, 1
Let n = 1504 - 1504. Let s(c) be the second derivative of -13*c + 0 + 1/42*c**7 + 0*c**4 + n*c**2 - 1/15*c**6 + 1/20*c**5 + 0*c**3. Factor s(u).
u**3*(u - 1)**2
Let h = 18 + -13. Suppose a - 80 = h*r, -45 = 2*a - r - 160. Let 30*c - a*c**2 - 37*c**2 - 48*c**3 - 8 - 44*c - 38*c = 0. What is c?
-1, -2/3, -1/4
Let o(m) = 13*m**2 + 7*m - 17. Let i(n) = 7*n**2 + 4*n - 9. Let f be (22 - 0/(-2))*4/8. Let l(y) = f*i(y) - 6*o(y). Suppose l(s) = 0. What is s?
-1, 3
Let s be 1 + 4/(-4)*-1. Let m be 12/(s + 0) - 3. Find p, given that 8*p + 19*p**2 + 5*p**m - 4*p**4 - 2*p**5 + p**3 - 3*p**2 = 0.
-2, -1, 0, 2
Let k(r) = r**2 + r - 1. Let y(v) = -19*v - 19. Let t(u) = -4*k(u) + y(u). Let t(a) = 0. What is a?
-5, -3/4
Let c = 11325 + -113247/10. Factor -1/5*s + 1/10*s**2 - c.
(s - 3)*(s + 1)/10
Let f be ((-4)/11)/((-96)/176). Let u(j) be the first derivative of -1 - 8*j + 0*j**2 + f*j**3. Factor u(o).
2*(o - 2)*(o + 2)
Let z(f) = f - 1. Let j(o) = 5*o**4 + 15*o**3 + 10*o**2 + 3*o - 3. Let s(x) = -j(x) + 3*z(x). Solve s(d) = 0 for d.
-2, -1, 0
Let q(u) = -2*u**4 - u**2. Let n(h) = 9*h**4 + 7*h**3 + 8*h**2 - 55*h - 50. Let b(r) = -4*n(r) - 20*q(r). Suppose b(s) = 0. What is s?
-2, -1, 5
Let g(j) be the third derivative of -7*j**6/30 + j**5/3 + 8*j**4/3 + 8*j**3/3 + 150*j**2. Factor g(x).
-4*(x - 2)*(x + 1)*(7*x + 2)
Let -3/2*r**2 - 2*r + 1/2*r**3 + 6 = 0. Calculate r.
-2, 2, 3
Let a = -28458/35 + 5742/7. Determine j so that -108/5 + a*j - 3/5*j**2 = 0.
6
Determine r, given that 4/3*r**4 - 12*r + 12*r**3 + 52/3*r**2 - 56/3 = 0.
-7, -2, -1, 1
Let k(m) be the second derivative of m**7/840 + m**6/240 - m**4 + 27*m. Let f(i) be the third derivative of k(i). Factor f(r).
3*r*(r + 1)
Let d(u) be the second derivative of 0 + u - 1/5880*u**7 - 1/6*u**3 + 0*u**6 + 0*u**2 + 0*u**5 + 0*u**4. Let i(w) be the second derivative of d(w). Factor i(s).
-s**3/7
Let c(o) be the second derivative of -20*o**7/21 + 17*o**6/5 + 53*o**5/5 + 13*o**4/2 + 4*o**3/3 + 273*o. Let c(w) = 0. What is w?
-1, -1/4, -1/5, 0, 4
Let s be -9 - 195/42*-2. Factor 2/7 + s*p**4 + 12/7*p**2 - 8/7*p - 8/7*p**3.
2*(p - 1)**4/7
Let r(x) be the third derivative of 12*x**2 + 0*x**3 + 0*x - 1/840*x**6 - 1/1470*x**7 + 1/210*x**5 + 0 + 0*x**4. Factor r(a).
-a**2*(a - 1)*(a + 2)/7
Let d(p) be the third derivative of 0*p**3 - 1/24*p**6 + 1/42*p**7 + 0*p + 8*p**2 + 0 + 0*p**5 + 0*p**4. Factor d(l).
5*l**3*(l - 1)
Let q(y) be the second derivative of -40*y**3 - 1/4*y**5 + 160*y**2 + 5*y**4 + 6*y + 0. Factor q(h).
-5*(h - 4)**3
What is p in -50/11*p**3 - 86/11*p**2 - 2/11*p**4 + 0 + 138/11*p = 0?
-23, -3, 0, 1
Let q(u) be the third derivative of -u**8/1512 - 2*u**7/945 + u**6/90 + 4*u**5/135 - 5*u**4/108 - 2*u**3/9 - 5*u**2 + 5. Determine d so that q(d) = 0.
-3, -1, 1, 2
Let j(y) = -y**2 - 7*y - 9. Let r(n) = 3*n**2 + 22*n + 27. Let f(b) = 8*j(b) + 3*r(b). Let d be f(-9). Factor 0 - 2/9*q**3 + 4/9*q**2 + d*q.
-2*q**2*(q - 2)/9
Let i(w) be the second derivative of -w**4/20 - 142*w**3/5 - 30246*w**2/5 + 710*w. Factor i(s).
-3*(s + 142)**2/5
Suppose 0 = 5*i + 2*i - 287. Factor -i*r**3 - 7*r**2 + 12*r - 4*r**4 + 3*r**2 + 8 + 29*r**3.
-4*(r - 1)*(r + 1)**2*(r + 2)
Factor -1/2*h**2 + 1/2 + 1/2*h**3 - 1/2*h.
(h - 1)**2*(h + 1)/2
Suppose -b - 2 = -4. Solve 7*q + 2*q**b - 4 + 2*q**3 + 4 - 11*q = 0.
-2, 0, 1
Let l(i) be the second derivative of -i**6/10 - 57*i**5/10 - 321*i**4/4 + 380*i**3 - 600*i**2 + 139*i. Determine d, given that l(d) = 0.
-20, 1
Let r(c) be the third derivative of 0*c - 1/1365*c**7 + 0*c**3 - 3*c**2 + 0 - 1/780*c**6 + 1/390*c**5 + 1/156*c**4. Factor r(i).
-2*i*(i - 1)*(i + 1)**2/13
Let n(h) be the second derivative of h**9/1680 - h**8/448 + h**7/420 - h**4/4 + 14*h. Let t(l) be the third derivative of n(l). Factor t(a).
3*a**2*(a - 1)*(3*a - 2)
Let x(w) = 2*w**2 - w - 8. Let t be x(6). Suppose 3*k + 30 = 2*p, -3*k = -5*p - 4*k + t. Solve 11*i**2 + 4 - 15*i**2 - 4*i**3 - p*i + 16*i**2 = 0 for i.
1
Let u(s) be the first derivative of -s**4/10 + 2*s**3/3 - 9. Factor u(o).
-2*o**2*(o - 5)/5
Let g(l) be the first derivative of -5*l**6/18 + 2*l**5/3 + 5*l**4/6 - 20*l**3/9 - 5*l**2/6 + 10*l/3 - 69. Find z such that g(z) = 0.
-1, 1, 2
Let d(r) be the second derivative of r**5/20 - 5*r**4/12 + 7*r**3/6 - 3*r**2/2 - 3*r - 1. Factor d(o).
(o - 3)*(o - 1)**2
Let r(c) be the second derivative of c**5/4 + 20*c**4/3 + 65*c**3/2 + 256*c. Factor r(g).
5*g*(g + 3)*(g + 13)
Let g = 1 + 4. Find u, given that 18*u + 14*u**2 - 30*u**3 + g*u**4 + u - 45 + 11*u + 26*u**2 = 0.
-1, 1, 3
Let g(b) be the third derivative of 0*b**3 - 20*b**2 + 1/420*b**7 + 0*b**4 + 0 - 1/120*b**5 - 1/672*b**8 + 1/240*b**6 + 0*b. Factor g(a).
-a**2*(a - 1)**2*(a + 1)/2
Let w(o) = 15*o**5 + 27*o**4 - 23*o**3 - 41*o**2 + 18*o + 9. Let i(q) = -2*q**5 + q**4 - q**3 - q**2 + q + 1. Let b(p) = 5*i(p) + w(p). Solve b(r) = 0 for r.
-7, -1, -2/5, 1
Let a(l) be the third derivative of l**7/735 - l**6/70 + l**5/70 + 13*l**4/42 - 8*l**3/7 + 699*l**2. Solve a(k) = 0.
-2, 1, 3, 4
Let h = 1 - -10. Factor -3*m**3 - m**4 + 5*m**2 + h*m**2 - 2*m + m**5 - 11*m**2.
m*(m - 1)**3*(m + 2)
Let p(w) = w + 13. Let t be p(-8). Suppose -m = 4*c - 22, 0 = -0*m + t*m - 4*c + 10. Factor 4*l**3 + 16*l - 2*l - 16*l**m + 2*l.
4*l*(l - 2)**2
Let h be 50/75 + 13/3. Let d(y) = 4*y - 16. Let j be d(h). Factor -32/7*v**3 - j*v**2 - 12/7*v - 18/7*v**4 - 4/7*v**5 - 2/7.
-2*(v + 1)**4*(2*v + 1)/7
Factor 265302/7 + 2/7*i**3 + 15606/7*i + 306/7*i**2.
2*(i + 51)**3/7
Suppose 0 = 5*s - 4*l + 38, 0 = -5*s - l - 3*l - 62. Let h = -7 - s. Find g, given that 0*g + 1/3*g**2 + 0 + 1/3*g**h = 0.
-1, 0
Let f(v) be the third derivative of 0 - 13*v**2 - 1/135*v**5 - 5/216*v**4 + 0*v - 1/27*v**3 - 1/1080*v**6. Suppose f(z) = 0. Calculate z.
-2, -1
Suppose s - 7 = -2. Let w(b) = -6*b**2 - 3*b + 3. Let u(f) = f**3 + 13*f**2 + 7*f - 5. Let y(k) = s*w(k) + 3*u(k). Determine n so that y(n) = 0.
-2, -1, 0
Let j = -252/37 + 3572/481. Find o, given that 2/13*o**2 - j*o + 6/13 = 0.
1, 3
Let x(f) be the third