17*k**2 + 1528*k - 7. Let a(r) = 6*b(r) + 7*u(r). What is the second derivative of a(t) wrt t?
3718
Let t be (-21)/(-2) - (-5 - (-33)/6). What is the first derivative of -2*r**3 + 8*r**3 + r**4 - t*r**3 - 12*r**3 - 126 wrt r?
4*r**3 - 48*r**2
Let o(p) be the first derivative of 5/3*p**3 + 0*p**6 - 65 - 44/7*p**7 - 1/5*p**5 + 4*p + 0*p**2 + 0*p**4. What is the third derivative of o(d) wrt d?
-5280*d**3 - 24*d
Suppose -190 = -w - 52. Let v = w + -98. What is the third derivative of -8105*b**3 + 8105*b**3 - v*b**6 + 17*b**2 wrt b?
-4800*b**3
Let p(y) = 255*y**3 + 693*y + 24. Let f(o) = -4*o - 1. Let z(k) = 72*f(k) + 3*p(k). Find the second derivative of z(v) wrt v.
4590*v
What is the third derivative of 189*q**2 + 720*q**5 + 180*q**5 - 150*q**2 + 670*q**2 - 128*q**5 wrt q?
46320*q**2
Suppose -18*m + 12*m = -18. Suppose -7 - m = -5*d. Differentiate -142*i**2 + 236*i**d - 124*i**2 + 2 wrt i.
-60*i
Let l(m) be the second derivative of 85/2*m**2 + 0 + 10/3*m**4 + 0*m**3 + 92*m. Differentiate l(j) wrt j.
80*j
Let u(l) be the second derivative of -81*l - 1/3*l**3 - 135/2*l**2 + 33/4*l**4 + 0. Differentiate u(m) wrt m.
198*m - 2
Find the third derivative of 2*j**2 - 308*j**4 - j**2 - 1720*j**3 + 1720*j**3 + 88*j wrt j.
-7392*j
Let r(p) be the third derivative of p**7/42 + 4*p**6/5 + p**5/5 - 53*p**3/6 - 89*p**2 + 6. What is the third derivative of r(w) wrt w?
120*w + 576
What is the second derivative of -106*w - 1817*w**5 - 2557*w**5 - 497*w**5 + 862*w**5 - 277*w + 2 wrt w?
-80180*w**3
Suppose 16*f - 18*f = -56. Find the first derivative of -f*j + 60 - 47 + 107 + 133*j wrt j.
105
Let r(n) be the third derivative of n**7/105 - 139*n**6/120 + n**5/10 - 11*n**4/2 + 8*n**2 - 95. Find the third derivative of r(s) wrt s.
48*s - 834
Suppose -5*x - 6*x = -66. What is the first derivative of -12*i - 33*i + x*i - 101 - 27*i wrt i?
-66
Let s(v) = -1374*v**2 - 269*v. Let q(x) = -2745*x**2 - 538*x - 1. Let g(r) = -2*q(r) + 5*s(r). What is the second derivative of g(t) wrt t?
-2760
Let t(p) be the third derivative of -4*p**7/35 + p**6/60 - 2*p**5/5 + 111*p**4/4 - p**3/3 + 35*p**2. Find the second derivative of t(n) wrt n.
-288*n**2 + 12*n - 48
Suppose -4*f - 12 = -7*f. Suppose 0 = -w + f*w - 5*v - 54, 54 = 3*w + v. What is the third derivative of -w - 13*p**5 + 18 - 9*p**2 wrt p?
-780*p**2
Suppose d = 3*d + 6, d + 5 = a. Find the third derivative of 49*m**2 - a*m - 105*m**4 + 2*m + 166*m**4 wrt m.
1464*m
Let s(d) = -d**3 + d**2 - d - 2. Let g(y) = -68*y**3 + 9*y**2 - 13*y - 3580. Let b(u) = -2*g(u) + 18*s(u). Find the first derivative of b(h) wrt h.
354*h**2 + 8
Let f be ((-18)/8)/3 + (-55)/(-20). Find the second derivative of -3*c**f + 3050*c + 177*c**5 + 4*c**2 - c**2 - 2795*c wrt c.
3540*c**3
Let o(i) be the third derivative of -1881*i**8/112 + i**5/15 - i**4/12 + 52*i**3 - 16*i**2 - 2*i - 34. Find the third derivative of o(s) wrt s.
-338580*s**2
Let r = 14408 - 14406. Let f = 27 - -2. Find the second derivative of f*x + 171 - 171 - 24*x**r wrt x.
-48
Let m = -4 - -8. Let b(j) = -2*j**2 + 65*j - 250. Let y be b(28). Find the second derivative of 17*s - 1 + 5 - m + 12*s**y wrt s.
24
What is the second derivative of 165*m - 3*m**2 - 52 - 387*m**3 - 286*m + m**4 + 148*m wrt m?
12*m**2 - 2322*m - 6
Let d(w) = 4944*w**2 - 28*w - 647. Let m(s) = s**2 + 6*s + 3. Let t(x) = -d(x) - 5*m(x). Find the second derivative of t(n) wrt n.
-9898
Suppose -r - 3 = -v, 0 = 5*v - 2*r - 4 - 14. What is the second derivative of -82*n**4 + 2 - 717*n + 28*n**v + 728*n wrt n?
-648*n**2
Let u(b) = -b - 2. Suppose 3*m + 8 = -m. Let z be u(m). Find the second derivative of 14*a**3 + 2 + 9*a - 2 + z wrt a.
84*a
Differentiate 16026*w**3 - 16026*w**3 + 93 - 1776 + 1593*w**4 wrt w.
6372*w**3
Let l(j) = j**2 + 2*j + 1. Let c(b) = 81*b**3 - 10*b**2 - 8*b - 9425. Let v(g) = -c(g) - 5*l(g). Differentiate v(k) with respect to k.
-243*k**2 + 10*k - 2
Let x(w) = -2*w**5 + 2*w**2 + w + 1. Let a(k) = -8*k**5 - 7*k**3 - 853*k**2 + 3*k + 5. Let f(j) = -a(j) + 3*x(j). Find the third derivative of f(i) wrt i.
120*i**2 + 42
Let c(m) be the first derivative of -55*m**3 + 0*m + 44 - 165/2*m**2. Find the second derivative of c(p) wrt p.
-330
What is the derivative of -38*j**3 - 3823 + j - 2433*j**3 - 1007*j**3 - j wrt j?
-10434*j**2
Suppose 4*q + 4*v = 8, 7*q + 8 = 8*q - 5*v. Find the third derivative of -9*w + 0*w**q + 23*w**3 - 23*w**3 + 3*w**2 - 161*w**5 wrt w.
-9660*w**2
Find the third derivative of -1 + 4459*a**3 - 611*a**3 + 24*a**3 + 137*a + 3*a**2 + 1 wrt a.
23232
Let t be 12/54 - (2058/27 - 1). Let y = t + 77. What is the derivative of r**y - 6 - 16*r**2 + 3*r**2 wrt r?
-24*r
Let z(p) be the first derivative of -2/5*p**5 + 9/2*p**4 + 0*p**2 - 5/3*p**3 - p + 4. Find the third derivative of z(m) wrt m.
-48*m + 108
Let x be 4/(-22) + (-9260)/(-110). Let y = x + -67. What is the second derivative of -27*i + y*i**5 - 38*i**5 + 3*i wrt i?
-420*i**3
Let f(t) be the first derivative of 1751*t**4/4 - 2*t**3 + 33*t + 1623. What is the third derivative of f(o) wrt o?
10506
Suppose -3*r = 10*r - 156. Find the third derivative of 14*o**2 - r*o**5 - 288*o + 288*o wrt o.
-720*o**2
Suppose 6*g = 5*g - 138. Let m = -136 - g. What is the first derivative of 3 + 7*y**2 - 15*y**2 + 8*y**m - 48*y**3 wrt y?
-144*y**2
Let p(j) be the second derivative of 2693*j**5/20 - j**4/2 + j**3/2 - 3*j**2 - 650*j. What is the third derivative of p(y) wrt y?
16158
Find the third derivative of -3116*w**2 - 569*w**3 + 1826*w**2 - 1 + 1597*w**2 wrt w.
-3414
Let c be (-28)/84*(-2 - 4). What is the third derivative of 27*s**4 - 15*s**3 - s**3 + c*s**2 + 50*s**2 + 15*s**3 wrt s?
648*s - 6
Find the third derivative of 4823*f**2 + 28954 - 28954 + 10291*f**3 wrt f.
61746
What is the first derivative of -806 - 1739*l + 3544 + 4435*l - 1154*l wrt l?
1542
Let v(q) = -411*q**2 + 473*q + 6. Let p(w) = -414*w**2 + 474*w + 9. Let i(z) = -2*p(z) + 3*v(z). Find the second derivative of i(f) wrt f.
-810
Let k(p) be the third derivative of 7*p**5/20 + 23*p**4/12 + 1141*p**3/6 - 3841*p**2. Differentiate k(w) with respect to w.
42*w + 46
Find the third derivative of -977*k**4 + 13*k**3 - 1 - 66*k + 23*k**3 - 3*k**2 + 978*k**4 wrt k.
24*k + 216
Suppose 4037*d = 4095*d - 1102. Let f(l) be the first derivative of 0*l**2 + 7/3*l**3 - d - 35/4*l**4 + 0*l. Find the third derivative of f(m) wrt m.
-210
Let q(v) be the first derivative of 5533*v**3/3 + 1829*v + 2834. Differentiate q(c) with respect to c.
11066*c
Find the second derivative of 86*u**2 + 2*u**4 - 147*u**3 - 42*u**2 + 1238*u + 107*u**3 - 44*u**2 wrt u.
24*u**2 - 240*u
Let l(t) be the third derivative of -t**7/70 + 23*t**5/10 - 59*t**3/3 - 800*t**2. Differentiate l(m) with respect to m.
-12*m**3 + 276*m
Let o(j) be the first derivative of 129*j**6/2 - 2*j**3/3 - 285*j**2 - j + 1468. What is the second derivative of o(m) wrt m?
7740*m**3 - 4
Let q(w) = 1254*w**4 + 28*w**3 + 14*w**2 - 14*w - 1610. Let t(l) = -2*l**3 - l**2 + l. Let j(d) = -q(d) - 14*t(d). Find the first derivative of j(o) wrt o.
-5016*o**3
Suppose -23 = -5*t + 37. Suppose -7*w + w + t = 0. What is the third derivative of 81*k - 9*k**w + 84*k - 11*k**6 - 165*k wrt k?
-1320*k**3
Let d(a) = 4*a**2 - 2*a + 17. Let t(v) = -20*v**2 + 11*v - 88. Suppose -37*k + 26 = -24*k. Let p(j) = k*t(j) + 11*d(j). Differentiate p(u) wrt u.
8*u
Find the second derivative of -387958*o - 287*o**3 - o**5 + 388750*o + 3*o**5 wrt o.
40*o**3 - 1722*o
Let x be (168/(-108))/(-7) + 2048/18. What is the third derivative of q**6 + 25682*q**3 - x*q**2 + 39*q**4 - 25682*q**3 wrt q?
120*q**3 + 936*q
Suppose l = -0*l + 2. Suppose 2*b + 2*g - 24 = 0, -12*b - 3*g - 76 = -17*b. Find the third derivative of 5*z**3 - 10*z**3 + b*z**3 + 21*z**l wrt z.
54
What is the third derivative of -19 + 49276*h**2 - 14 - 49277*h**2 + 2675*h**3 + 40*h wrt h?
16050
Suppose -2*w + 81 = 77. What is the third derivative of 568*f**w - 36*f**3 - 479*f**2 + f - f wrt f?
-216
Suppose 5*c - c + 136 = -2*u, -4*c = 5*u + 148. Let g = c + 46. What is the first derivative of -20 - g*j - 4 - 12 + 60 wrt j?
-14
Let k(r) = 1826*r**3 - 39*r**2 - 11*r - 2516. Let w(a) = -2*a**3 + 3*a**2 + a. Let y(c) = -k(c) - 13*w(c). What is the derivative of y(g) wrt g?
-5400*g**2 - 2
What is the second derivative of -126*