25194*b
Let t(b) = -16*b**4 - 39*b**3 - 16*b**2 - 4087*b - 56. Let x(m) = m**4 + 2*m**2 + m + 7. Let r(u) = -t(u) - 8*x(u). What is the second derivative of r(k) wrt k?
96*k**2 + 234*k
Let c(m) be the first derivative of 0*m**2 - 181/3*m**3 + 0*m**5 + 83/6*m**6 + 0*m**4 + 105 + 0*m. What is the third derivative of c(y) wrt y?
4980*y**2
Let x(n) be the third derivative of -1267*n**6/60 - n**5/60 + n**4/4 - 67*n**3/6 + 5503*n**2. What is the third derivative of x(h) wrt h?
-15204
Let h(x) = x**2 - 9*x - 6. Let q be h(10). What is the third derivative of 48*c**3 - 2*c - q*c**2 + 56*c**6 + 3*c**2 - 48*c**3 wrt c?
6720*c**3
What is the third derivative of 2*a**3 - 113*a - 112*a + 444*a - 110*a - 111*a - 182*a**2 - 981*a**4 wrt a?
-23544*a + 12
What is the third derivative of -365*z**3 - 9401 + 9401 - 108*z**3 + 154*z**2 - 134*z**3 - 2*z wrt z?
-3642
Let u(t) = 111*t + 2585. Let y(s) = 7*s - 1. Let w(b) = -u(b) - 2*y(b). What is the first derivative of w(r) wrt r?
-125
What is the second derivative of -5185876*s - s**5 + 5183900*s + 4*s**2 - 5*s**3 + 33*s**2 wrt s?
-20*s**3 - 30*s + 74
Find the third derivative of -7457*u - 229*u**2 - 835*u**4 - 10 + 7456*u + 3*u**6 + 232*u**2 wrt u.
360*u**3 - 20040*u
Find the third derivative of -3065*u**3 - 1132 - 1831*u**3 - 227*u**2 - 1868*u**3 + 1133 wrt u.
-40584
Let d(h) = 45*h**4 + 12*h**3 + h**2 - 19*h - 8822. Let z(i) = -180*i**4 - 54*i**3 - 5*i**2 + 73*i + 35287. Let o(k) = 9*d(k) + 2*z(k). Differentiate o(a) wrt a.
180*a**3 - 2*a - 25
Let y(g) be the second derivative of 846*g**6/5 - g**4/12 - 6329*g**3/6 + 414*g. Find the third derivative of y(q) wrt q.
121824*q
Let i(a) be the first derivative of 2*a**3 - 87*a**2/2 - 610*a + 2228. Differentiate i(o) with respect to o.
12*o - 87
Suppose -3*n + 4 = -8. Let h(w) = w**2 + 16*w - 46. Let p be h(-19). Find the third derivative of -20*v**n - p*v - 3*v**2 + 11*v + 3*v**4 wrt v.
-408*v
Let s(w) be the third derivative of w**8/336 - 158*w**5/15 + 41*w**4/12 - w**3/3 + 1872*w**2. What is the second derivative of s(k) wrt k?
20*k**3 - 1264
Let n = -12 - -10. Let h(x) = 60*x**2 + 2*x - 7. Let l(s) = s**2 + 1. Let b(k) = n*l(k) + h(k). Find the second derivative of b(u) wrt u.
116
Let w = 0 + 6. Suppose -w*l + 0 + 30 = 0. Find the second derivative of -20*n**5 + 36*n**l + 9*n - 27*n**5 wrt n.
-220*n**3
Let a(d) = 66*d**2 - 3*d - 87. Let g be (6/4)/((-3)/6). Let m(y) = 67*y**2 - 4*y - 88. Let k(s) = g*m(s) + 4*a(s). Differentiate k(x) wrt x.
126*x
Let r(s) = 24*s**3 + 16*s**2 + 15*s + 12. Let v(i) = -22*i**3 - 15*i**2 - 19*i - 7. Let q(x) = -5*r(x) - 4*v(x). What is the second derivative of q(z) wrt z?
-192*z - 40
Let a(l) = -2*l - 5. Let r be a(-4). Let f = -401 + 418. Differentiate f + 10 + 16*w**r + 8 - 6*w**3 with respect to w.
30*w**2
Let n be 6/(-30) + 84/20. Suppose 23 = 3*k + n*i, -2*k - k = 5*i - 25. What is the second derivative of -20*s**k + 31*s**5 + 15*s - 16*s**5 - 5*s wrt s?
-100*s**3
Let c(q) be the second derivative of -447*q**6/5 - 29*q**4/12 - 10*q**2 - 3*q - 31. What is the third derivative of c(s) wrt s?
-64368*s
Suppose -2*f = -4*h - 28, 12*f - 34 = 8*f - 3*h. Differentiate 7 + 5*k**3 + 18 + 10 + f wrt k.
15*k**2
Let q = 89 - 18. What is the first derivative of -10 + 24 + q*i - 75 - 79 - 80 wrt i?
71
Let h(t) = -6*t**2 + 2*t. Let n be h(1). Let k be (-1)/((-4)/36) + n. What is the third derivative of 21*r**3 - 21*r**3 - 17*r**k + 21*r**2 wrt r?
-1020*r**2
Let n(p) = -296*p + 289. Let z(w) = -9*w - 17. Let f be z(-2). Let m(b) = 2. Let j(y) = f*n(y) - 5*m(y). Find the first derivative of j(v) wrt v.
-296
Let m(s) be the first derivative of 5*s**6/6 - 42*s**4 - s**3/3 - 5534*s**2 - 7559. What is the second derivative of m(w) wrt w?
100*w**3 - 1008*w - 2
Let w(p) be the second derivative of p**6/30 - 617*p**5/20 + 2531*p**3/2 - 7786*p. Find the second derivative of w(d) wrt d.
12*d**2 - 3702*d
Find the third derivative of 270*t**5 - 4923*t**2 - 2 + 7007*t**3 - 2424*t**2 - 7000*t**3 wrt t.
16200*t**2 + 42
Let r(q) be the third derivative of -1381*q**4/8 + 718*q**3/3 - 2294*q**2 + 2*q. Differentiate r(g) wrt g.
-4143
Let a(w) be the third derivative of 1145*w**8/112 + 2929*w**5/30 + w**2 + 24*w + 5. Find the third derivative of a(t) wrt t.
206100*t**2
Let y(p) = 2*p**3 - 6*p**2 + p - 2. Let b = 66 - 62. Let a be y(b). What is the derivative of -18 + 23*c**4 - a*c**4 + 15*c**4 wrt c?
16*c**3
Find the first derivative of -48 + 387*s + 88*s - 62 + 491*s - 14 wrt s.
966
Let v(l) be the third derivative of 0*l**3 + 49*l**2 + 5/8*l**6 + 0*l + 0*l**4 + 0 - 33/20*l**5. Find the third derivative of v(w) wrt w.
450
Let j be ((-39)/117)/(-3 - 104/(-36)). Suppose 0 = -4*x - g + 2, 5*x + 5*g - 1 = -6. Find the first derivative of -10 + 0 - w**j + x - 18 wrt w.
-3*w**2
Let w(s) be the first derivative of 78 + 49/2*s**2 - 11/6*s**6 + 0*s**4 - 2*s - s**3 + 0*s**5. Find the second derivative of w(y) wrt y.
-220*y**3 - 6
Let h(a) = 13*a + 301. Let f be h(-23). What is the second derivative of 374*m - 735*m + 141*m**f + 463*m wrt m?
282
Let w(s) be the second derivative of 163*s**5/20 + 466*s**3/3 + 127*s - 2. Find the second derivative of w(f) wrt f.
978*f
Let z = -242 + 365. What is the second derivative of 2*n**4 + 9*n**4 + z*n - 9*n**2 - 11 + 11 + n**4 wrt n?
144*n**2 - 18
Let p = 276 - 42. Let f = 408 - p. What is the second derivative of 194*l - 14*l**2 - 12*l**2 - f*l wrt l?
-52
Find the second derivative of 20687*v**5 - 4*v**4 - 19983*v**5 + 4*v**4 + 188*v wrt v.
14080*v**3
Let q(p) be the third derivative of -77*p**2 - 19/42*p**7 + 47/6*p**3 + 0*p + 0*p**4 + 0*p**6 + 0*p**5 + 0. Find the first derivative of q(g) wrt g.
-380*g**3
Differentiate -14*x**3 - 2793 - 1838*x**4 + 3545*x**4 - 1796*x**4 with respect to x.
-356*x**3 - 42*x**2
Let f(p) be the second derivative of 29*p**6/3 - p**5/10 - 149*p**3/6 - p**2/2 - 2769*p. What is the second derivative of f(j) wrt j?
3480*j**2 - 12*j
Suppose -5*r = -15, -n - 14*r = -12*r - 101. Differentiate 138*w**2 - 2*w + 16*w + 4*w - 18*w + n wrt w.
276*w
Let p be 13/2 - (-21)/(-14). Suppose -p*w + m + 32 = 0, w - m = 3 + 1. Find the first derivative of 15*o + w - 6*o - 4 + 2 wrt o.
9
Let j(g) be the third derivative of 0*g**4 + 61/210*g**7 + 4*g + 0 + 0*g**6 + 0*g**5 - 58/3*g**3 - 13*g**2. Differentiate j(d) wrt d.
244*d**3
Suppose 45*a = 2641 - 166. Differentiate 41 + a*k - 90 + 152*k with respect to k.
207
Let c(t) = 3874*t**2 - 1090*t + 7. Let p(l) = -11621*l**2 + 3269*l - 18. Let y(a) = 8*c(a) + 3*p(a). Find the second derivative of y(s) wrt s.
-7742
Differentiate 124*p**3 + 1281 + 574*p**3 - 44 + 314*p**3 + 79 wrt p.
3036*p**2
Let a = 32 + -30. Find the second derivative of 3*w + 0 + 11*w + 797*w**2 - w**3 - 788*w**a - 3 wrt w.
-6*w + 18
Let j = -618 + 622. Differentiate 259 - 24*u**j + 55*u**4 - 28*u**4 wrt u.
12*u**3
Let w(f) be the second derivative of 1367*f**4/4 + 103*f**3 + 2*f**2 - 4167*f. Find the second derivative of w(y) wrt y.
8202
Let s(n) be the third derivative of -853*n**6/40 + 1622*n**3/3 + 26*n**2 + 3*n + 3. What is the first derivative of s(v) wrt v?
-7677*v**2
Suppose 21*q + 55 = 3*g + 16*q, -q + 81 = 4*g. What is the third derivative of 40*p**5 - g*p**4 + 20*p**4 + 92*p**2 wrt p?
2400*p**2
Differentiate -8 - 469 - 99*v + 1263 - 222 with respect to v.
-99
Suppose 20 = 35*s - 31*s. Suppose -s*t + 4*h = 6*h - 85, -h + 65 = 4*t. What is the second derivative of 2*m**2 + t*m - 3*m**2 - 10*m wrt m?
-2
Let c = -7 + 28. Let i be (-40)/(-50)*(-45)/(-2). Find the third derivative of -i*k**2 - 17*k**2 + c*k**4 + k**2 - 11*k**2 wrt k.
504*k
Let t(o) = -4*o**2 + 2*o - 2. Let c(l) = -7*l**3 + 78*l**2 - 6*l + 1002. Let d(m) = c(m) + 2*t(m). Find the second derivative of d(h) wrt h.
-42*h + 140
Let a(u) = -6*u**3 + u**2 - u. Let q(v) = 2639*v**3 - v**2 - 11*v - 2. Let m(p) = -4*a(p) + q(p). Find the third derivative of m(n) wrt n.
15978
Let o(l) = -570*l**4 - 3*l**3 - 3*l**2 - 9*l + 742. Let n(d) = 571*d**4 + 2*d**3 + 2*d**2 + 6*d - 743. Let k(w) = -6*n(w) - 4*o(w). Differentiate k(t) wrt t.
-4584*t**3
Find the second derivative of 237893*q**3 + 2545*q**5 - 9*q - 237893*q**3 + 125 wrt q.
50900*q**3
Let h = 11494 + -11494. Let b(x) be the second derivative of 0*x**4 + 24*x + 23/20*x**5 + 7*x**2 + 0*x**3 + h. Dif