lculate d.
-3, -1, 1, 2
Let c(m) be the third derivative of -m**8/560 - m**7/56 - m**6/15 - m**5/10 - 4*m**3/3 - 44*m**2. Let l(f) be the first derivative of c(f). Factor l(n).
-3*n*(n + 1)*(n + 2)**2
Let i = -5 + 10. Let y = -1 + i. Factor -2*k - 1 + 5*k**2 - 3 + k**2 - y*k**2.
2*(k - 2)*(k + 1)
Let t be (-11 - -9)/(1/(-4)). Suppose -10 = -f - t. Suppose -2*c + c**f + c + 3*c - c**3 - 1 - c = 0. Calculate c.
-1, 1
Suppose 31*r = 177 - 53. Factor 3/7*z**3 + 1/7*z**5 + 0*z - 1/7*z**2 - 3/7*z**r + 0.
z**2*(z - 1)**3/7
Let h(v) be the third derivative of -v**7/70 + v**6/20 + 7*v**5/5 + 23*v**4/4 + 21*v**3/2 - 135*v**2. Factor h(a).
-3*(a - 7)*(a + 1)**2*(a + 3)
Let b = 20156/50465 + 6/10093. Suppose 0*w**3 + 0*w**2 + b*w**4 + 0 + 0*w - 2/5*w**5 = 0. Calculate w.
0, 1
Suppose 3*f - 2 = 4, -5*h + 3*f = -4. Suppose 4*i + 0*i**2 + h*i**2 - 10*i + 3 + i**2 = 0. What is i?
1
Suppose 0 = 8*i + 18*i + 4*i - 30. Determine o so that 1/4*o**2 - i + 0*o = 0.
-2, 2
Let z(w) be the first derivative of -1/21*w**2 + 20 + 2/63*w**3 + 0*w. Find r, given that z(r) = 0.
0, 1
Let p = -36 - 100. Let g = p + 2044/15. Factor g*j**3 - 2/15 + 2/15*j**2 - 4/15*j.
2*(j - 1)*(j + 1)*(2*j + 1)/15
Let p(b) be the first derivative of -b**5/60 - b**4/24 + 3*b**2 + 15. Let k(x) be the second derivative of p(x). Suppose k(d) = 0. Calculate d.
-1, 0
Suppose 0 = 117*i - 302 - 166. Solve 178/17*m**2 - 44/17 + 10/17*m**i - 18/17*m - 126/17*m**3 = 0.
-2/5, 1, 11
Let g(l) be the third derivative of -l**7/70 + l**5/5 + 6*l**2 - 5. What is b in g(b) = 0?
-2, 0, 2
Find c, given that 4*c**5 + 41*c - 125*c**4 + 149*c**4 + 40*c**3 - 24 - 85*c = 0.
-3, -2, -1, 1
Factor -26/5 - 1/10*a**3 + 2/5*a + 13/10*a**2.
-(a - 13)*(a - 2)*(a + 2)/10
Let w(u) be the first derivative of 9*u**4/4 - 14*u**3 - 42*u**2 + 72*u + 442. Factor w(v).
3*(v - 6)*(v + 2)*(3*v - 2)
Let f be (-4)/14 - (20181/735)/(-31). Factor -2/5*z + 1/5*z**2 - f.
(z - 3)*(z + 1)/5
Suppose -o = 3*z + 1, 0 = 4*o - z + 2*z - 18. Suppose o*h - 5 = 5. Find r such that 1 - 2*r - 1 + 2*r**h + 0 = 0.
0, 1
Suppose -5*u + 10*u + 3*m = 35, 0 = -5*u + 5*m - 5. Let d(y) be the third derivative of -9*y**2 - y**3 + 1/8*y**u + 1/20*y**5 + 0 + 0*y. Factor d(f).
3*(f - 1)*(f + 2)
Let d be (-117)/(-13) - (-18)/(-2). Factor -2/3*h - h**2 + 1/3*h**4 + 0*h**3 + d.
h*(h - 2)*(h + 1)**2/3
Let l(h) be the first derivative of -2*h**3/3 - 2*h**2 + 6*h - 72. Factor l(x).
-2*(x - 1)*(x + 3)
Let v(y) be the first derivative of 3/10*y**5 + 3/4*y**2 - 1/2*y + 3 - 1/3*y**3 - 1/4*y**4 - 1/12*y**6. Factor v(g).
-(g - 1)**4*(g + 1)/2
Let x(z) be the second derivative of z**4/24 + 7*z**3/12 + 3*z**2/2 + 186*z. Let x(i) = 0. What is i?
-6, -1
Let l(m) = -58*m + 14. Let r(k) = k**2 - 2*k + 1. Let o(f) = -2*l(f) + 36*r(f). Let o(b) = 0. Calculate b.
-1, -2/9
Let g(d) = -22*d + 223. Let z be g(10). Let n be (-6)/(-4)*70/42. What is k in 4*k + 2 + 1/2*k**z + n*k**2 = 0?
-2, -1
Let i = 50/63 + -4/7. Suppose 0 = -3*k - k + 12. Factor -4/3*w**2 + 8/9*w - 2/9*w**4 + 8/9*w**k - i.
-2*(w - 1)**4/9
Let o(g) be the third derivative of g**8/840 - g**7/525 - 3*g**6/50 + 3*g**5/25 + 27*g**4/20 - 27*g**3/5 + 73*g**2. Suppose o(h) = 0. Calculate h.
-3, 1, 3
Suppose -3*v - 9 = 2*y, -5 = 2*v + 4*y - 3*y. Let c be (v - -4)/((-1)/2*-2). Factor 4/5*b**2 + 0*b + 0 - 6/5*b**4 - 2/5*b**c.
-2*b**2*(b + 1)*(3*b - 2)/5
Solve -806*g + 144*g**2 - 1623 + 2015 - 25*g**3 + 126*g**2 + 197*g = 0.
7/5, 8
Factor -b + 1/3 + b**2 - 1/3*b**3.
-(b - 1)**3/3
Let i be -3 - -3 - 2 - (-35 + 0). Let f = i + -33. Suppose -2/3*d + f - 2/3*d**3 - 4/3*d**2 = 0. Calculate d.
-1, 0
Let m(k) be the second derivative of -2*k**6/45 - 3*k**5/2 - 10*k**4/9 + 5*k**3 + 22*k**2/3 - 10*k + 1. Find j, given that m(j) = 0.
-22, -1, -1/2, 1
Let m be ((-6)/4 - -2) + 0. Suppose 0 = 5*c, 5*t + 17*c - 21*c = 10. Factor 1/4 + 0*s**t - 1/4*s**4 + m*s**3 - 1/2*s.
-(s - 1)**3*(s + 1)/4
Let v(g) be the third derivative of 2*g**7/105 + 5*g**6/3 + 239*g**5/5 + 1150*g**4/3 + 4232*g**3/3 - 798*g**2. Factor v(j).
4*(j + 2)**2*(j + 23)**2
Let c(q) be the second derivative of -11*q**5/2 - 1025*q**4/12 + 370*q**3/3 - 50*q**2 + 331*q. Find a, given that c(a) = 0.
-10, 2/11, 1/2
Suppose 4*r + 2*b - 4 = 5*r, 3*r - 5*b = -9. What is l in 12*l**3 + 3946 - 3946 - 5*l**4 - 4*l**r = 0?
0, 2/5, 2
Let z = 1766 + -1764. Let -2/3 + 4/9*i**3 + 2/3*i**z - 4/9*i = 0. Calculate i.
-3/2, -1, 1
Let f(a) be the third derivative of -a**7/1260 + a**6/180 + a**5/20 - a**4/24 - 14*a**2. Let r(b) be the second derivative of f(b). Factor r(o).
-2*(o - 3)*(o + 1)
Let h = 3430 + -24008/7. Let 0 - 4/7*w**2 + 0*w - h*w**3 = 0. Calculate w.
-2, 0
Let j(k) be the first derivative of k**4/10 - 14*k**3/15 + 2*k**2 - 225. Determine q, given that j(q) = 0.
0, 2, 5
Let s = 621 - 621. Factor s + 0*r + 3/7*r**3 - 6/7*r**2.
3*r**2*(r - 2)/7
Let b = 1545 + -1542. Let x(t) be the first derivative of -150*t**b - 1875*t + 6 - 15*t**4 - 3/5*t**5 - 750*t**2. Find f, given that x(f) = 0.
-5
Let h be (258/(-860))/(2 + 21/(-10)). What is a in -2/9*a**h + 2/3*a**2 - 2/9*a**4 + 4/9 + 10/9*a = 0?
-1, 2
Let d(k) be the third derivative of k**5/15 + k**4/3 + 4*k**2 + 2. Suppose d(z) = 0. Calculate z.
-2, 0
Let w be (-3)/(-3) - (1 - -5). Let i = w + 8. Factor -3*x**2 - 3*x**i - 14*x + 14*x.
-3*x**2*(x + 1)
Let o = 110 + -105. Suppose 0 = 2*c - o*a - 16 - 19, c = -5*a - 20. Find j, given that 3/2*j - 3*j**2 + 3/2*j**c + 3/2*j**4 - 3*j**3 + 3/2 = 0.
-1, 1
Suppose -6*p = -8*p. Determine l so that -2*l + 2*l + 2*l + p*l - l**2 = 0.
0, 2
Let a = 43 - 41. Suppose -4*b - a = -2. Factor -1/3*o**4 + 0 - 1/3*o**3 + b*o + 1/3*o**5 + 1/3*o**2.
o**2*(o - 1)**2*(o + 1)/3
Let q be 46/76 + 12/(-171)*36/24. Suppose -1/2 + q*o + 1/2*o**2 - 1/2*o**3 = 0. What is o?
-1, 1
Let j(q) be the third derivative of q**6/1380 + 2*q**5/115 - 43*q**4/276 + 10*q**3/23 + 22*q**2. Factor j(p).
2*(p - 2)*(p - 1)*(p + 15)/23
Let y(x) be the third derivative of -x**2 + 2/15*x**5 - 11/300*x**6 + 0*x + 0*x**3 - 25 + 1/15*x**4. Let y(k) = 0. What is k?
-2/11, 0, 2
Factor 2/7*b**3 - 54/7*b - 108/7 + 0*b**2.
2*(b - 6)*(b + 3)**2/7
Let d(c) be the third derivative of c**6/120 - c**5/20 + c**4/12 - 4*c**2. Let a be d(3). Factor -4 - 2*v**2 - 6*v**2 + 6*v**2 - a*v.
-2*(v + 1)*(v + 2)
Let x(z) = 16*z**4 + 123*z**3 - 177*z**2 + 36*z. Let i(h) = -210*h**4 - 1596*h**3 + 2301*h**2 - 468*h. Let u(y) = -2*i(y) - 27*x(y). Solve u(f) = 0 for f.
-12, 0, 1/4, 1
Let h(a) be the first derivative of a**4/36 - 5*a**3/27 + 7*a**2/18 - a/3 - 13. Factor h(p).
(p - 3)*(p - 1)**2/9
Let u(a) = 7*a**2 + 5*a + 2. Let q(z) be the first derivative of 12*z**3 + 12*z**2 + 9*z - 17. Let c(r) = 4*q(r) - 21*u(r). Factor c(k).
-3*(k + 1)*(k + 2)
Factor 135/4*f - 81/2*f**2 - 7/2*f**4 + 18*f**3 + 1/4*f**5 + 0.
f*(f - 5)*(f - 3)**3/4
Let g(y) be the third derivative of y**5/420 + 143*y**4/168 + y**2 - 244. Factor g(n).
n*(n + 143)/7
Suppose 0 = -4*j + 39*p - 42*p - 7, -p = 2*j + 1. Let -8/5*o - 6/5 - 2/5*o**j = 0. Calculate o.
-3, -1
Solve -1/6*f**4 + 4/3 + 5/3*f - 7/6*f**2 - 11/6*f**3 + 1/6*f**5 = 0 for f.
-2, -1, 1, 4
Let q be 12 + 37/(481/(-156)). Let n(b) be the third derivative of q*b**3 + 0*b**4 - 8*b**2 - 1/165*b**5 - 1/1155*b**7 + 0*b + 1/220*b**6 + 0. Factor n(o).
-2*o**2*(o - 2)*(o - 1)/11
Let c(r) = r**2 - 5*r + 6. Let g(k) = 2*k**2 - 6*k + 4. Let b(h) = -2*c(h) + 3*g(h). Factor b(y).
4*y*(y - 2)
Let a(j) = 30*j**3 + 565*j**2 + 2415*j + 640. Let m(g) = -29*g**3 - 564*g**2 - 2418*g - 640. Let h(p) = 6*a(p) + 5*m(p). What is d in h(d) = 0?
-8, -2/7
Let b be 140/(-84)*3/(-5). Let k be (1 - b)/(-5)*3/3. Factor -2/7*f**3 + 0*f**2 + 0 + 2/7*f**5 + k*f**4 + 0*f.
2*f**3*(f - 1)*(f + 1)/7
Let p(t) be the third derivative of -t**8/1176 - t**7/105 - 13*t**6/420 - t**5/210 + t**4/6 + 8*t**3/21 + 2*t**2 + 8. Determine u, given that p(u) = 0.
-4, -2, -1, 1
Let l be 1/(-2)*504/(-36). Let j(a) be the second derivative of -3/5*a**5 + 0*a**3 - 2*a - 2/5*a**6 + 0*a**2 + 0*a**4 + 0 - 1/14*a**l. Factor j(h).
-3*h**3*(h + 2)**2
Find f, given that 2/3*f + 1/6 + 2/3*f**2 = 0.
-1/2
Suppose -2*j - 2 = p, -5*j + 4*p + 8 = -j. Let w(a) be the first derivative of j*a + 8/3*a**3 - 5 - a**4 + 0*a**2. Factor w(s).
-4*s**2*(s - 2)
Let o be 13782/(-11064) - 15/(-12). Let m = o - -457/922. Let -5/2*h*