). Suppose s(m) = 0. Calculate m.
0, 1, 2
Let f be (-176)/(-77) - (12/(-14))/(-3). Let a be (f/((-16)/6))/((-144)/2432). Suppose 8/3 - 14/3*s**3 - a*s**2 - 16/3*s = 0. What is s?
-2, -1, 2/7
Let l(r) be the second derivative of r**7/840 + r**6/72 - r**5/15 + r**4/3 + 14*r. Let x(w) be the third derivative of l(w). Determine k so that x(k) = 0.
-4, 2/3
Let -24/7*a + 3/7*a**3 - 15/7*a**2 + 36/7 = 0. Calculate a.
-2, 1, 6
Suppose 0 = -598*f + 606*f - 64. Let p(b) be the second derivative of 2*b**3 + 0 - 4/3*b**2 - 7/9*b**4 - f*b. Factor p(i).
-4*(i - 1)*(7*i - 2)/3
Factor -3*t**3 + 106*t**2 - 504*t - 15*t**2 + 492 + 44*t**2.
-3*(t - 41)*(t - 2)**2
Let x(u) be the second derivative of -u**7/1260 - 7*u**6/180 - 49*u**5/60 + 5*u**4/4 - 6*u. Let p(t) be the third derivative of x(t). Let p(v) = 0. Calculate v.
-7
Let o(n) be the third derivative of -n**5/30 - n**4/2 - 97*n**2. What is l in o(l) = 0?
-6, 0
Suppose 2*c + 31 = 3*n + 7*c, -19 = -2*n - 3*c. Let z be (-7 + 40/16)/(3/(-2)). What is v in -3*v**n - v**z - 7*v**3 + v**4 + 6*v**3 = 0?
-1, 0, 3
Let m(r) = -r**2 + 58*r - 830. Let h be m(26). Factor 0 - 2/7*g + 2/7*g**3 + 0*g**h.
2*g*(g - 1)*(g + 1)/7
Let c(j) = 3*j**2 + 18*j - 6. Let v = 48 + -53. Let u(b) = 3*b**2 + 18*b - 5. Let t(k) = v*c(k) + 6*u(k). Factor t(m).
3*m*(m + 6)
Let j(m) = -m**3 - 3*m**2 - 5*m + 3. Let k(c) be the second derivative of c**5/10 + c**4/3 + c**3 - 2*c**2 - 29*c. Let p(h) = 4*j(h) + 3*k(h). Factor p(z).
2*z*(z - 1)*(z + 1)
Let t(x) be the third derivative of x**7/35 - 13*x**6/40 + 3*x**5/2 - 7*x**4/2 + 4*x**3 - 296*x**2. Solve t(b) = 0.
1/2, 2
Let w = 881/2 + -440. Let o(k) be the first derivative of 15/2*k**2 + w*k**6 + 10*k**3 + 15/2*k**4 + 7 + 3*k**5 + 3*k. Find u such that o(u) = 0.
-1
Let u = -22 + 25. Suppose -5*t**2 - 20*t**u - 6 - 15*t**3 + 2 + 20*t**5 + 9 + 15*t = 0. What is t?
-1, -1/2, 1
Let a(u) = u**2 + 42*u + 445. Let c(g) = -g**2 - 42*g - 444. Let p(x) = 3*a(x) + 4*c(x). Factor p(w).
-(w + 21)**2
Let d(q) = -7*q**2 + 14*q - 27. Let s(l) = -l**2 - l. Let p(i) = d(i) - 4*s(i). Suppose p(y) = 0. Calculate y.
3
Let n(h) be the second derivative of h**7/4200 - h**6/400 + h**5/100 + 17*h**4/6 - 16*h. Let x(l) be the third derivative of n(l). Factor x(p).
3*(p - 2)*(p - 1)/5
Let q(g) be the first derivative of 2/15*g**5 + 0*g - 1/18*g**6 + 0*g**2 + 0*g**3 + 7 - 1/12*g**4. Let q(m) = 0. What is m?
0, 1
Let x(h) be the second derivative of -h**4/3 + h**2/2 - 30*h. Let g be 3/(1/1*-1). Let r(k) = 9*k**2 - 2. Let d(w) = g*r(w) - 7*x(w). Factor d(n).
(n - 1)*(n + 1)
Let j(q) be the second derivative of 25/2*q**3 + 0 + 1/4*q**5 + 45/2*q**2 + 4*q + 35/12*q**4. Factor j(a).
5*(a + 1)*(a + 3)**2
Let v be (-1 - (-3)/5)/((-2)/(-30)). Let i be (16/v)/((-130)/39). Suppose i*m + 2/5 + 2/5*m**2 = 0. Calculate m.
-1
Let z(l) = -l + 5. Let x be z(15). Let i(v) = v**2 - v + 1. Let h(j) = -8*j**2 - 5*j - 3. Let o(p) = x*i(p) - 5*h(p). Find b, given that o(b) = 0.
-1, -1/6
Let a(z) be the first derivative of -z**3/12 + z**2/2 + 8*z + 39. What is g in a(g) = 0?
-4, 8
Let o be (-5)/(-15)*(-1)/(-20)*369. Let a = o - 23/4. Factor -4/5*b + 0 + a*b**2.
2*b*(b - 2)/5
Suppose g + 4*i = -12, -2*g - 11 = 3*i - 2. Suppose 2 = f - g. Factor -r**4 + 2*r**2 - r**f + 2*r**3 + 2*r**4 - 4*r**3.
r**2*(r - 1)**2
Let f(w) be the first derivative of -25 - 4/27*w**3 - 10/9*w**2 + 8/3*w. Let f(m) = 0. Calculate m.
-6, 1
Find y, given that y + y**4 - 6*y**2 + 12*y**5 - 6*y**2 - 5*y + 27*y**4 + 0*y + 3*y**3 = 0.
-2, -1/2, 0, 2/3
Let u(p) be the third derivative of -5*p**6/12 - 5*p**5/3 - 31*p**4/12 - 2*p**3 + 127*p**2. Suppose u(c) = 0. Calculate c.
-1, -3/5, -2/5
Let h be (-3 - 2) + 350/50. Let i(m) be the second derivative of 0 + 4*m + 0*m**h + 0*m**3 - 1/20*m**4. Find c, given that i(c) = 0.
0
Let b(a) be the first derivative of a**6/3 + 2*a**5 - a**4 - 20*a**3/3 + a**2 + 10*a - 45. Determine z, given that b(z) = 0.
-5, -1, 1
Let g(n) be the second derivative of -1/20*n**6 + 7/4*n**3 + 3/8*n**5 + 0 - 9/8*n**4 + 4*n - 3/2*n**2. Factor g(k).
-3*(k - 2)*(k - 1)**3/2
Let h = -49 - -54. Factor -92 - 14*u**2 + 96 + h*u + 5*u.
-2*(u - 1)*(7*u + 2)
Determine h so that -70*h**2 - 100 - 175*h + 0*h**3 + 12 - 22 - 2*h**3 - 3*h**3 = 0.
-11, -2, -1
Let q(f) be the first derivative of 2*f**3/9 - 2*f**2/3 - 16*f/3 - 37. What is s in q(s) = 0?
-2, 4
Let i(l) be the third derivative of l**8/120960 - l**6/4320 + 7*l**5/30 + 39*l**2. Let u(x) be the third derivative of i(x). Factor u(s).
(s - 1)*(s + 1)/6
Let r = -15 - -16. Let t = 29 + r. Factor 4*p**2 + t*p + 12 - 22*p**3 - p**2 - 6*p + 13*p**3.
-3*(p - 2)*(p + 1)*(3*p + 2)
Let c(y) = -3*y**3 + 24*y**2 - 5*y - 5. Let k = 3 - 11. Let z(m) = -4*m**3 + 36*m**2 - 8*m - 8. Let f(r) = k*c(r) + 5*z(r). Factor f(j).
4*j**2*(j - 3)
Let q(d) = -14*d**2 + 2*d + 14. Let t(c) = -c**3 - 30*c**2 + 3*c + 27. Let v(j) = -10*q(j) + 4*t(j). Factor v(n).
-4*(n - 4)*(n - 2)*(n + 1)
Let v(p) = 10*p**3 - 15*p**2 - p + 39. Let n(k) = -k**3 + k**2 - 1. Let c(t) = 18*n(t) + 2*v(t). Solve c(u) = 0 for u.
-2, 3, 5
Let f(k) be the third derivative of -2*k**7/945 - 47*k**6/270 - 115*k**5/27 - 529*k**4/54 + 18*k**2 + 3. Factor f(o).
-4*o*(o + 1)*(o + 23)**2/9
Let x(d) be the third derivative of d**8/840 + 4*d**7/525 + d**6/100 - 2*d**5/75 - d**4/15 - 45*d**2 + 2*d. Solve x(o) = 0.
-2, -1, 0, 1
Let t = -12 + 14. Let w(k) = 2*k**2 + 3*k + 2. Let m be w(-2). Let 10*p**t + 3*p - m*p - 11*p**2 = 0. Calculate p.
-1, 0
Let l(a) be the third derivative of a**8/84 - 4*a**7/21 + 4*a**6/15 + 2*a**5/3 - 3*a**4/2 + 9*a**2 - 26*a. Find x, given that l(x) = 0.
-1, 0, 1, 9
Let o(m) = m**5 - 13*m**4 - 9*m**3 + m**2 + 17*m + 6. Let s(w) = 4*w**5 - 64*w**4 - 46*w**3 + 6*w**2 + 84*w + 30. Let c(d) = -14*o(d) + 3*s(d). Factor c(a).
-2*(a - 1)*(a + 1)**3*(a + 3)
Let w(a) = -4*a**2 + 16*a - 19. Let r(z) = -80*z + 75 - 3 + 24 + 20*z**2. Let f(p) = -3*r(p) - 16*w(p). Let f(x) = 0. Calculate x.
2
Let q(k) be the third derivative of k**7/70 - k**6/5 - 19*k**5/20 - 5*k**4/4 + 3*k**2. Factor q(d).
3*d*(d - 10)*(d + 1)**2
Let o(b) be the first derivative of 2 + 66/7*b**3 - 3*b - 363/14*b**4 - 12/7*b**2 + 3993/140*b**5. Let i(c) be the first derivative of o(c). Factor i(k).
3*(11*k - 2)**3/7
Let r(o) be the first derivative of 24 + 0*o**3 - 1/24*o**6 + 1/8*o**4 + 0*o - 1/8*o**2 + 0*o**5. Find q such that r(q) = 0.
-1, 0, 1
Let m be (-879)/(-84) + -10 + (-27)/126. Factor -9 + 12*g - 13/4*g**2 + m*g**3.
(g - 6)**2*(g - 1)/4
Find o such that 38/7*o + 0 - 2/7*o**2 = 0.
0, 19
Let m(y) = y**3 - 4*y**2 - 5*y + 5. Let z be m(5). Factor 5*o + 5*o**4 - 18*o**3 - 17*o**3 + 30*o**3 - z*o**2.
5*o*(o - 1)**2*(o + 1)
Let o(n) be the first derivative of 0*n**3 + 4/3*n**6 + 0*n**2 - 6/5*n**5 + 7 - 1/2*n**4 + 0*n. Factor o(r).
2*r**3*(r - 1)*(4*r + 1)
Let q(k) = 7*k**3 - 12*k**2 - 2*k + 2. Let l(n) = -9*n**3 + 12*n**2 + 3*n - 3. Let t(y) = -2*l(y) - 3*q(y). Solve t(b) = 0 for b.
0, 4
Let t be 15/12*124/930. Suppose 1/3 + t*r - 1/6*r**2 = 0. Calculate r.
-1, 2
Let j(y) = -3*y**2 - 3*y + 10. Let v(s) = 16*s**2 + 14*s - 50. Let u(x) = -11*j(x) - 2*v(x). Let h be u(-7). Factor -5*t**2 + t**2 - 1 - t**2 - 2*t + h*t**2.
-(t + 1)**2
Let 0*f**2 + 0*f**3 - 3/4*f**5 + 0 - 1/4*f**4 + 0*f = 0. What is f?
-1/3, 0
Suppose 6 = -7*i + 27. Let j(y) be the third derivative of -11*y**2 + 1/420*y**5 + 0 + 0*y + 1/168*y**4 - 1/21*y**i. Factor j(l).
(l - 1)*(l + 2)/7
Let v be (15/(-39) - (-168)/546) + 1. Suppose 0 + v*h + 2/13*h**4 + 12/13*h**3 + 22/13*h**2 = 0. Calculate h.
-3, -2, -1, 0
Let i = 39 - 29. Find u such that -u + i + 4*u**3 + 29*u + 5*u**2 + 15*u**2 + 2 = 0.
-3, -1
Let i(p) be the first derivative of 2*p**6 + 8*p**5 + 12*p**4 + 8*p**3 + 2*p**2 - 106. Factor i(y).
4*y*(y + 1)**3*(3*y + 1)
Let v(h) be the first derivative of h**4/2 + 11*h**3/9 + 2*h**2/3 - h/3 + 390. Factor v(k).
(k + 1)**2*(6*k - 1)/3
Let c be 8 - (-1 - (-16)/4). Suppose -g - 2*g - 4 = -c*i, -5*g + 4 = -3*i. Let 0 + 4*k - 11*k + 4*k - 1 - i*k**2 = 0. Calculate k.
-1, -1/2
Let s(l) = l**3 - 4*l**2 - 6*l + 14. Let h be s(-7). Let x = -5309/11 - h. Factor -6/11*z**4 - 4/11*z**3 + x*z**2 + 6/11*z + 2/11 - 2/11*z**5.
-2*(z - 1)*(z + 1)**4/11
Let i(p) be the second derivative of p**6/24 - p**5/2 - 95*p**4/48 - 25*p**3/12 + 7*p. Factor i(m).