iven that 6/5*l - 8/5 - 1/5*l**g = 0.
2, 4
Let a = 217570 + -1087844/5. Factor -1/5*u**4 - 12/5*u**2 + 8/5*u + 0 + a*u**3.
-u*(u - 2)**3/5
Let d(o) be the first derivative of 44 - 1/18*o**3 - 1/6*o + 1/6*o**2. Factor d(t).
-(t - 1)**2/6
Let w be 17 - (-41)/((-3198)/1300). Factor -w*p**2 - 1/3 - 2/3*p.
-(p + 1)**2/3
Let y be (-6)/10 - (405/75 - -3). Let f be (-12)/(y/(-27) - 1). Suppose -33/2*b**2 + 3/2*b**3 + 9/2*b**4 - 3/2*b**5 + f*b - 6 = 0. Calculate b.
-2, 1, 2
Let l(z) be the second derivative of 41/12*z**3 - 5/2*z**2 - 168*z + 0 - 1/6*z**4. Suppose l(v) = 0. Calculate v.
1/4, 10
Let t(b) be the third derivative of 1/840*b**7 + 0*b**5 + 0*b**3 + 0*b**4 + 0*b + 71*b**2 + 0 + 1/96*b**6. Factor t(c).
c**3*(c + 5)/4
Suppose -17 = 4*i + 591. Let d = -148 - i. Suppose -16/5*y**3 + 1/5 + 9/5*y**d - 2/5*y**5 + 14/5*y**2 - 6/5*y = 0. What is y?
1/2, 1
Let d(o) be the first derivative of 0*o**5 + 0*o - 1/14*o**4 + 0*o**2 - 248 + 1/21*o**6 + 0*o**3. Factor d(g).
2*g**3*(g - 1)*(g + 1)/7
Let x(v) be the first derivative of v**3/3 - 138*v**2 + 19044*v + 453. Solve x(o) = 0.
138
Let y(j) be the first derivative of -8*j**3/3 + 106*j**2 - 2809*j/2 + 824. Factor y(l).
-(4*l - 53)**2/2
Let b(w) be the third derivative of w**5/60 + 49*w**4/6 - 197*w**3/6 + 16*w**2 - 8*w. Factor b(x).
(x - 1)*(x + 197)
Let t(h) be the second derivative of -5*h**7/42 - 5*h**6/3 + 6*h**5 - 5*h**4/6 - 115*h**3/6 + 30*h**2 - 2099*h. Determine n so that t(n) = 0.
-12, -1, 1
Let o(k) be the first derivative of 15*k**4/8 + 355*k**3/6 + 225*k**2/4 - 115*k/2 - 1392. Factor o(q).
5*(q + 1)*(q + 23)*(3*q - 1)/2
Factor 43390*i**3 - 15*i**4 + 10622127780*i + 14991*i**3 - 3536739855 - 18281*i**3 - 35738010*i**2.
-5*(i - 891)**3*(3*i - 1)
Let t be (7 - (-215)/(-25))/((-4)/10). Let 552*q**t - 10*q + 7*q**2 - 280*q**4 + 9*q**3 + 0*q**5 + q**5 - 279*q**4 = 0. What is q?
-1, 0, 1, 2, 5
Let t(g) be the second derivative of g**8/840 - g**6/180 + g**3/3 + 35*g**2/2 + 16*g. Let u(j) be the second derivative of t(j). Factor u(v).
2*v**2*(v - 1)*(v + 1)
Determine y so that -4/5*y**2 + 0 - 3816/5*y = 0.
-954, 0
Let g(p) be the third derivative of -p**5/570 - 599*p**4/114 - 358801*p**3/57 + 29*p**2 + 23. Solve g(n) = 0 for n.
-599
Let u(h) = h**3 + 7*h**2 + 12*h + 2. Let n be u(-4). Factor 2*z**2 - 6*z**2 + 7*z**2 + 64*z + z**n.
4*z*(z + 16)
Suppose 4*p - 16 = -2*q + 8, 4*p - 14 = 3*q. Let b(u) = -2*u**2 + 33*u - 132. Let f be b(9). Factor 5*h**5 + q*h**4 + 2*h**3 - 3*h**f - 6*h**5.
-h**3*(h - 1)**2
Let v(h) be the first derivative of 14*h**2 + 20/3*h**3 + 12*h + h**4 - 194. Solve v(p) = 0 for p.
-3, -1
Let q = 14995 - 14990. Let d(u) be the second derivative of 25*u + 83/90*u**4 + 2/225*u**6 + 9/50*u**q - 49/15*u**2 + 0 - 7/5*u**3. What is o in d(o) = 0?
-7, -1/2, 1
Factor 56*h + 44*h**4 + 148*h**2 + 24901*h**5 + 155*h**3 - 24897*h**5 - 23*h**3.
4*h*(h + 1)**2*(h + 2)*(h + 7)
Let j(g) be the first derivative of 128 + 3/2*g**2 - 33*g - 3/4*g**4 + 11*g**3. Let j(s) = 0. Calculate s.
-1, 1, 11
What is n in 142/7*n**2 + 2/7*n**3 + 0 - 292/7*n = 0?
-73, 0, 2
Suppose 0 = 12*b - 2979 - 5193. Let f = 684 - b. Factor -6/5*z**2 + 2/5*z**4 + 0*z**f + 0 + 4/5*z.
2*z*(z - 1)**2*(z + 2)/5
Suppose -6 = -2*x - 44, -4*x = 5*p - x + 47. Factor 0 + 1/6*n**3 + 96*n - 8*n**p.
n*(n - 24)**2/6
Let s(l) be the third derivative of -l**6/10 + 151*l**5/20 + 41*l**4/8 - 57*l**3 - 3406*l**2. Suppose s(k) = 0. What is k?
-1, 3/4, 38
Suppose -57 - 453 = -106*x - 149*x. Let u = 10 + -7. Factor -3/4*w**x + 0 + 0*w + 3/4*w**u.
3*w**2*(w - 1)/4
Let t = 87719/35086 + -2/17543. Let y = 26 - 24. Suppose 2*m**3 - 3/2*m**4 + t*m**y + 0 - m = 0. What is m?
-1, 0, 1/3, 2
Suppose 79 = -3*s - 5*q, 16*q + 88 = -3*s + 20*q. Let o be (-35)/112*s + -8. Factor 0*n + 0 - o*n**2.
-3*n**2/4
Let 0 + 14/3*c**4 + 24*c + 106/3*c**3 + 54*c**2 - 2/3*c**5 = 0. Calculate c.
-3, -1, 0, 12
Let b(u) be the third derivative of 1/12*u**4 - 1/315*u**7 - 23*u**2 - 2/27*u**3 - 1/18*u**5 - u + 11/540*u**6 + 0. Factor b(t).
-2*(t - 1)**3*(3*t - 2)/9
Let x(q) be the second derivative of -2*q**6/75 + 64*q**5/25 - 4106*q. Suppose x(c) = 0. What is c?
0, 64
Let c(j) be the third derivative of j**5/180 + 29*j**4/72 - 391*j**3/9 + 1579*j**2 + 1. What is g in c(g) = 0?
-46, 17
Let x(r) = -66877*r + 401264. Let j be x(6). Factor 22/9*u**j + 14/9*u + 0.
2*u*(11*u + 7)/9
Let h be ((-4)/(-2))/2 + 4. Suppose 2*a + 8 = 14. Determine w so that -12*w + w - 9*w + h*w**a = 0.
-2, 0, 2
Factor -7*o**3 + 0*o + 0 + 15*o**2 - 1/4*o**4.
-o**2*(o - 2)*(o + 30)/4
Let d(t) = 5*t**3 + 7*t**2 + t - 1. Let v be d(1). Let 32 + 14*x + v*x + 9814*x**2 - 2*x - 9810*x**2 = 0. What is x?
-4, -2
Suppose -8*o - 743 + 111 = 0. Let r = o + 82. Factor 2/3*x**r + 1/3*x**4 + 1/3*x**2 + 0 + 0*x.
x**2*(x + 1)**2/3
Let b(j) be the first derivative of 29/3*j**3 + 23 + 0*j**2 + 1/60*j**5 - 11/540*j**6 + 0*j + 0*j**4. Let p(y) be the third derivative of b(y). Factor p(l).
-2*l*(11*l - 3)/3
Find l, given that -172/7*l**2 + 352/7*l**3 - 704/7*l - 36/7*l**4 - 144/7 = 0.
-1, -2/9, 2, 9
Suppose -7 = -5*c - d + 3*d, 0 = -4*c + d + 8. Let y = 669/4 - 667/4. Factor 0 + 1/2*v**c + v**2 - y*v**4 + 0*v.
-v**2*(v - 2)*(v + 1)/2
Let b(n) = -n**3 - 424*n**2 - 8327*n + 40500. Let k(z) = z**3 - 421*z**2 - 8328*z + 40500. Let s(t) = 3*b(t) - 2*k(t). What is i in s(i) = 0?
-45, 4
Let u(c) be the second derivative of c**4/30 + 23*c**3/15 + 102*c**2/5 + 413*c. Let u(d) = 0. Calculate d.
-17, -6
Let l = 49 - 44. Suppose -4*o - l*o + 2*o = 0. Factor -32/17*a - 16/17*a**2 + o - 2/17*a**3.
-2*a*(a + 4)**2/17
Let x(i) = 3*i**2 - 2373*i + 5064. Let r(z) = -2*z**2 + 2404*z - 5064. Let n(o) = -5*r(o) - 4*x(o). Factor n(l).
-2*(l - 2)*(l + 1266)
Let y(a) be the second derivative of -a**6/135 - 37*a**5/45 - 1441*a**4/54 - 296*a**3/3 - 144*a**2 - 645*a. Factor y(f).
-2*(f + 1)**2*(f + 36)**2/9
Factor -144*u**3 - 382*u**4 - 426*u**3 + 187*u**4 + 193*u**4 - 2312*u + 2304*u**2.
-2*u*(u - 2)**2*(u + 289)
Suppose -50*r = -49*r, 0 = -k - r + 3. Let l(m) be the first derivative of 1/4*m**2 + 1/12*m**k + 8 - m - 1/32*m**4. What is i in l(i) = 0?
-2, 2
Let v = 12365 - 12362. Let m(a) be the first derivative of -1/6*a**v - 3/2*a - 22 + a**2. Suppose m(q) = 0. What is q?
1, 3
Let w(s) be the third derivative of -1 + 1/27*s**4 + 1/45*s**6 + 0*s + 1/54*s**3 + 11/270*s**5 + 1/210*s**7 - 9*s**2. Suppose w(r) = 0. Calculate r.
-1, -1/3
Let s(i) be the first derivative of i**4/20 + 176*i**3/15 - 177*i**2/10 - 1710. Solve s(t) = 0 for t.
-177, 0, 1
Let a = -47576 + 47579. Find o, given that -6/17*o**2 + 6/17 + 2/17*o - 2/17*o**a = 0.
-3, -1, 1
Let i(r) be the first derivative of -2*r**5/65 - 9*r**4/13 - 46*r**3/13 - 4*r**2 - 8177. Determine l, given that i(l) = 0.
-13, -4, -1, 0
Let m = 148/13 - 701/65. Let g(l) be the first derivative of 8/25*l**5 + 2/15*l**6 - 32/15*l**3 - m*l**4 - 5 + 0*l - 8/5*l**2. Determine f so that g(f) = 0.
-2, -1, 0, 2
Let l(i) = -i**3 + 7*i**2 + 2*i - 7. Let w(x) = x**3 - 6*x**2 - 3*x + 6. Let f be ((-6)/2 + (-112)/(-32))*12. Let r(z) = f*l(z) + 7*w(z). What is h in r(h) = 0?
-3, 0, 3
Let r(w) = 6*w**2 + 27*w + 30. Let s(c) = -2*c**3 + 4*c**2 - 5*c + 5. Let d be s(2). Let h(q) = 11*q**2 + 55*q + 59. Let i(o) = d*r(o) + 3*h(o). Factor i(n).
3*(n + 1)*(n + 9)
Let s be (15/(225/(-10)))/(-43 + 37). Let 0 + 1/9*v**4 - s*v**2 + 1/9*v**5 - 1/9*v**3 + 0*v = 0. Calculate v.
-1, 0, 1
Let c(u) be the third derivative of 1/15*u**3 + 0*u + 361/600*u**5 - 12 + 19/60*u**4 - 3*u**2. Factor c(r).
(19*r + 2)**2/10
Let v = -40 + 63. Suppose -27*n + v*n + 8 = 0. Factor 100*l**2 - 104*l**n - 6 + 22.
-4*(l - 2)*(l + 2)
Let f(l) = -7*l**2 - 92*l - 168. Let r(n) = -n**2 + n - 7. Let p(z) = 24*z**2 + 272*z + 532. Let w(j) = -p(j) - 4*r(j). Let q(k) = 8*f(k) - 3*w(k). Factor q(a).
4*(a + 2)*(a + 21)
Let t be -4*644/(-192)*1. Let s = 56/3 - t. Factor -3/4*y**2 - s*y - 15/2.
-3*(y + 2)*(y + 5)/4
Let c(n) be the second derivative of n**4/4 - 41*n**3/2 - 954*n**2 + 8029*n. Suppose c(p) = 0. Calculate p.
-12, 53
Let n be 18*(-2)/(-3)*-1. Let p be 48/(4 + n) - -6. Let -2/3*y**2 + p - 10/3*y = 0. Calculate y.
-5, 0
Suppose -5*v - 13 = -39*n + 37*n, -3*n = 5*v + 18. Let r be n + (-210)/(-55) - 8/(-44). Let -3/7*h**r - 4/7 - 16/7*h**2 - 17/7*h = 0. What is h?
-4, -1