 1/6*d**5.
-(d + 1)**3*(d + 4)**2/6
Let d(q) be the third derivative of -3*q**6/80 - 19*q**5/80 - q**4/32 + 3*q**3/4 + 572*q**2 - 1. Let d(k) = 0. What is k?
-3, -2/3, 1/2
Let z(h) be the second derivative of -h**6/15 + 13*h**5/10 + 26*h**4/3 - 64*h**3/3 - 720*h. Solve z(c) = 0.
-4, 0, 1, 16
Let y(g) = 41*g - 68. Let r be y(3). Let f be (-3)/((-4)/(40/r)). Factor 0 - 10/11*l**2 - f*l**3 - 4/11*l + 2/11*l**5 + 2/11*l**4.
2*l*(l - 2)*(l + 1)**3/11
Let t = -27265 - -27267. Let g = 77/54 + 2/27. Factor 0 - 1/2*z**3 - z - g*z**t.
-z*(z + 1)*(z + 2)/2
Let y(z) be the second derivative of z**5/4 + 25*z**4/3 - 35*z**3/2 - 3050*z. Solve y(r) = 0.
-21, 0, 1
Let j(s) be the third derivative of -s**6/600 + 8*s**5/75 - 8*s**4/3 + 512*s**3/15 + 1115*s**2. Let j(n) = 0. Calculate n.
8, 16
Factor -45/4*i**2 - 14*i - 1/4*i**4 + 49 + 7/2*i**3.
-(i - 7)**2*(i - 2)*(i + 2)/4
Find j such that -5971*j**2 + 856818 + 2069468 + 79405*j**2 - 796*j**3 + 2*j**4 + 668977 + 1147832*j + 563465 = 0.
-7, 206
Let t be (-5 - 0)/(((-1862)/(-11172))/(1/(-15))). Factor -1/3*r**t + 0 + 2*r.
-r*(r - 6)/3
Let k(n) = 6081*n + 36491. Let f be k(-6). Factor 2/3*r**3 + 0*r + 2/3*r**4 + 1/6*r**f + 0 + 0*r**2.
r**3*(r + 2)**2/6
Let g(m) = 27*m - 1069. Let v be g(40). Let j(w) be the second derivative of -1/15*w**3 - 1/10*w**2 + v*w - 1/60*w**4 + 0. Find h such that j(h) = 0.
-1
Suppose -38176*v - 3 = -38177*v. Let w(q) be the first derivative of -4/5*q**2 + 2/15*q**v + 8/5*q - 7. Factor w(d).
2*(d - 2)**2/5
Let x be 2 + 132/(-54) + (-108)/(-162). Suppose 0 + 4/9*t**2 + 0*t - 4/9*t**4 + 2/9*t**5 - x*t**3 = 0. Calculate t.
-1, 0, 1, 2
Let t(b) be the second derivative of 1/20*b**5 + b + 0*b**2 - 16/3*b**3 + 1 + 31/12*b**4. Factor t(p).
p*(p - 1)*(p + 32)
Let c(a) = 6*a**2 - 112*a + 584. Let d(z) = -2*z**2 + 37*z - 194. Suppose 39*b = 35*b + 32. Let u(x) = b*d(x) + 3*c(x). Find l, given that u(l) = 0.
10
Let k(r) be the third derivative of 17*r**8/1680 - 241*r**7/1050 + 35*r**6/24 - 49*r**5/100 - r**2 - 187*r - 1. Factor k(m).
m**2*(m - 7)**2*(17*m - 3)/5
Let c be 184/23 - ((-24)/2)/3. Let m(j) be the first derivative of 0*j**2 + 4/5*j**5 + 4*j**4 + 0*j + c + 4*j**3. Determine f so that m(f) = 0.
-3, -1, 0
Let m(r) = -r**3 + 1864*r**2 + 426889*r + 425051. Let p(o) = 1858*o**2 + 426888*o + 425048. Let z(h) = 2*m(h) - 3*p(h). Find t such that z(t) = 0.
-461, -1
Let l = -5 - -7. Suppose -32*k + 12399 - 12239 = 0. Find v, given that 0*v + 0*v**4 + 3/4*v**3 - 1/2*v**l - 1/4*v**k + 0 = 0.
-2, 0, 1
Let f(u) be the first derivative of 4*u**5/25 - 72*u**4/5 + 2304*u**3/5 - 27648*u**2/5 - 126. Let f(p) = 0. Calculate p.
0, 24
Suppose -9*y = y - 170. Let v(x) = 5*x**3 + 24*x**2 + 36*x + 34. Let q(h) = 2*h**3 + 8*h**2 + 12*h + 12. Let f(m) = y*q(m) - 6*v(m). Factor f(c).
4*c*(c - 3)*(c + 1)
Let d(y) = y**2 - y - 3. Let s(w) = -2*w**2 + 2003*w - 334671. Let i(a) = d(a) - s(a). Factor i(g).
3*(g - 334)**2
Suppose -85*d = 109*d + 39 - 621. Let t(z) be the first derivative of 5 + 4*z - 4/3*z**d + 0*z**2. Factor t(s).
-4*(s - 1)*(s + 1)
Suppose 3*d + 2*h = -250 - 258, 510 = -3*d - 3*h. Let v be (6/10)/((-7)/d*18). What is n in 2/5*n**3 + 0*n + 0 + v*n**2 = 0?
-2, 0
Let f = 268 + -176. Solve -13*n - 38*n + 16 - 85*n + 38*n + f*n**3 - 94*n + 84*n**2 = 0.
-2, 2/23, 1
Let v(p) be the third derivative of p**8/30240 - p**7/7560 - p**6/180 + p**5/12 - p**4/6 - 43*p**2. Let s(r) be the third derivative of v(r). Factor s(i).
2*(i - 3)*(i + 2)/3
Let w(g) be the second derivative of 0*g**2 - 3/2*g**5 - 27*g + 0 - 1/10*g**6 - 4*g**3 - 17/4*g**4. Solve w(d) = 0.
-8, -1, 0
Let a be (-1922)/(-31) + -54 + (53/7)/(-1). Let m = 158 - 1103/7. What is u in 0*u - a + m*u**2 = 0?
-1, 1
Let p(l) be the first derivative of -5*l**3/6 + 645*l**2/4 + 2380*l - 5951. Let p(m) = 0. Calculate m.
-7, 136
Let f be 30451/(-22533) - 2/(-21). Let j = -24/29 - f. What is r in 3/7*r**3 - 3/7*r**4 + 0*r - j*r**5 + 0 + 3/7*r**2 = 0?
-1, 0, 1
Let 56/11*g + 34/11*g**2 + 24/11 - 2/11*g**5 - 10/11*g**4 - 6/11*g**3 = 0. Calculate g.
-3, -2, -1, 2
Let t be ((-123)/(-410))/(-4*-3*(-3)/(-240)). Find r such that -5/7*r**5 - 5*r**3 + 4/7 + 4/7*r - 17/7*r**t - 23/7*r**4 = 0.
-2, -1, 2/5
Let x(r) = 647*r - 6*r**3 + 2*r**2 + 654*r - 6 - 1291*r + 6*r**4. Let l(q) = 32*q**4 - 29*q**3 + 9*q**2 + 51*q - 30. Let c(y) = 4*l(y) - 22*x(y). Factor c(z).
-4*(z - 3)*(z - 1)**2*(z + 1)
Determine u so that 105/2 + 54*u**2 - 3/4*u**3 - 423/4*u = 0.
1, 70
Let y(a) be the first derivative of 4*a**5/5 - 6*a**4 - 92*a**3/3 + 120*a**2 - 128*a - 1006. Determine x so that y(x) = 0.
-4, 1, 8
Suppose -15 = -5*y, -x + 4*x - 3681 = 2*y. Suppose -1244 + 25*o**3 + 55*o - 88*o**2 + 23*o**2 + x = 0. Calculate o.
3/5, 1
Let y(r) be the first derivative of -r**8/420 + r**7/70 + r**3/3 + 27*r**2/2 + 34. Let i(u) be the third derivative of y(u). Factor i(t).
-4*t**3*(t - 3)
Suppose -t + 4 = 0, -17*o + 15*o - 2*t - 4914 = 0. Let b = -2461 - o. Factor 3/2*z + 3/2*z**2 + b.
3*z*(z + 1)/2
Let i(a) be the first derivative of -5*a**4 - 164*a**3/3 + 824*a**2 + 336*a - 5641. Suppose i(m) = 0. Calculate m.
-14, -1/5, 6
Let v(z) be the second derivative of -z**4/3 + 18*z**3 - 252*z**2 + 1183*z. Let v(j) = 0. Calculate j.
6, 21
Determine h, given that -3192*h**3 + 457*h**2 + 4527*h**2 - 6210064*h + 3191*h**3 = 0.
0, 2492
Let x be (1 - 0)/((-20)/(-7) + 448/392). Suppose 0 = j - 4*j + 6. Factor 1/4 - x*l**j + 0*l.
-(l - 1)*(l + 1)/4
Let h = -254779/558 + -1651/62. Let v = 1457/3 + h. Let 2/9*l**5 - 8/3*l + v*l**3 - 16/9 + 4/3*l**4 + 4/9*l**2 = 0. Calculate l.
-2, -1, 1
Let i = -210 - -205. Let y(a) = -a**3 + 6*a + a - 10*a**2 + 3*a**2 + a**4 - 6. Let h(w) = -w**2 + w - 1. Let q(p) = i*y(p) + 30*h(p). Factor q(s).
-5*s*(s - 1)**2*(s + 1)
Let t(m) be the first derivative of -m**6/90 - 17*m**5/30 + 19*m**4/3 + 187*m**3/3 - 319. Let s(j) be the third derivative of t(j). Find q such that s(q) = 0.
-19, 2
Let b(l) be the second derivative of -3*l**5/20 - 23*l**4/4 + 181*l**3/2 + 609*l**2/2 + 15*l + 8. Solve b(a) = 0.
-29, -1, 7
Let g be (-5 + 0)*(-30)/50. Let z be ((-35)/42)/(20/(-60)). What is p in 35/2*p**2 + 5*p**g - z - 15*p**4 - 35/4*p**5 + 15/4*p = 0?
-1, 2/7, 1
Let o(b) be the second derivative of b**4/30 - 386*b**3/3 + 186245*b**2 - 3736*b. Let o(m) = 0. What is m?
965
Let y be ((-4 - -1) + 14 + (-6903)/585)*-2*1. Factor 96/5 - 4/5*g**2 - y*g.
-4*(g - 4)*(g + 6)/5
Let w(b) be the second derivative of b**5/4 - 25*b**4/4 + 30*b**3 + 350*b**2 - 5388*b. Solve w(d) = 0 for d.
-2, 7, 10
Let f(s) = -15*s**3 + 322*s**2 - 52*s + 5. Let b(z) = -z**3 + 2*z**2 + 2*z + 1. Let n(i) = 5*b(i) - f(i). Factor n(y).
2*y*(y - 31)*(5*y - 1)
Let g(z) be the first derivative of -z**6/210 + 2*z**5/35 - z**4/12 + 345*z - 348. Let j(h) be the first derivative of g(h). Factor j(f).
-f**2*(f - 7)*(f - 1)/7
Suppose -1430*o**4 - 478*o**4 - 241*o**5 + 288*o**2 + 74*o**5 - 109*o**5 + 45*o**5 - 444*o**3 = 0. What is o?
-8, -6/11, 0, 2/7
Let q(x) be the second derivative of 1/140*x**5 + 61*x + 3/14*x**2 + 0 - 1/42*x**3 - 1/28*x**4. Determine i, given that q(i) = 0.
-1, 1, 3
Let n(j) be the third derivative of j**5/330 - 13*j**4/33 - 36*j**3/11 + 33*j**2. Factor n(v).
2*(v - 54)*(v + 2)/11
Let x be -13*(11 + -18 + 4). Suppose -33*k = -x - 60. Suppose 0 + 0*z**k + 2/7*z**4 - 6/7*z**2 + 4/7*z = 0. What is z?
-2, 0, 1
Let y(j) be the third derivative of -8/9*j**3 + 0 + 24*j**2 - 7/6*j**4 - 13/180*j**6 + 7/10*j**5 - 2*j. Determine m so that y(m) = 0.
-2/13, 1, 4
Suppose -3203 + 4373 - 12*c + 293*c + 2*c**2 - 37*c = 0. Calculate c.
-117, -5
Let a = 39 + -42. Let o be (0/(0 - a))/(-4). What is d in o*d**3 + 8*d**2 - d**3 - 4*d + 0*d**3 - 3*d**3 = 0?
0, 1
Let t(i) be the first derivative of 0*i + 1/21*i**6 + 0*i**2 - 2/35*i**5 + 197 + 2/21*i**3 - 1/14*i**4. Determine b, given that t(b) = 0.
-1, 0, 1
Let p = -325440 + 325443. Solve 0 + 0*n - 2/3*n**2 - 2/3*n**4 + 4/3*n**p = 0 for n.
0, 1
Let -1/3 + 1/2*u**2 - 1/6*u**3 - 1/6*u**4 + 1/6*u = 0. Calculate u.
-2, -1, 1
Let r(i) be the second derivative of -7*i**6/15 + 2*i**5/5 + 15*i**4/14 - 4*i**3/3 + 4*i**2/7 + 223*i - 2. Determine n, given that r(n) = 0.
-1, 2/7, 1
Let h(m) = -21*m**2 - 71*m - 101. Let w = -20 - -14. Let r(f) = 11*f**2 + 36*f + 51. Let u = -3 - 8. Let i(q) = u*r(q) + w*h(q). S