 1. Suppose -p + 10 - 5 = a. What is the second derivative of 3*m + p*m**2 - 11*m**2 + m wrt m?
-12
Let u(s) = -3*s + 73. Let d be u(11). Find the second derivative of d*m + 96*m - 100*m**2 - 85*m**2 + 196*m**2 wrt m.
22
What is the second derivative of 5594*s**2 - 1568*s - 2789*s - 1581*s wrt s?
11188
Let c(u) be the first derivative of 1544*u**3 + 7711*u + 6582. What is the derivative of c(r) wrt r?
9264*r
Suppose a + 4 = 4*z, -5*a + 3*z = -z - 12. Suppose -2*k - a*k = -84. What is the derivative of 16 - k*q**2 - 10 - 10 wrt q?
-28*q
Let z(r) be the second derivative of 4*r**7/21 + 2*r**6/3 + r**5/5 + 37*r**4/3 - 2*r**3/3 + 572*r - 2. What is the third derivative of z(k) wrt k?
480*k**2 + 480*k + 24
Find the first derivative of 608520*j**4 + 1745 - 5009 - 613401*j**4 wrt j.
-19524*j**3
Suppose f - 5 = 5*i, 2*f + 4*i - 2*i + 2 = 0. Suppose -9*l - 11 + 38 = f. What is the third derivative of -4*v**3 - 103*v**4 + 15*v**2 + 90*v**4 + 4*v**l wrt v?
-312*v
Suppose 0 = 2*n - 13 + 7. Let w(q) be the first derivative of 0 + 0*q**5 - 7*q**5 + n + 4*q**3 - 2. Find the third derivative of w(m) wrt m.
-840*m
Suppose 0 = -3*x + 16 - 34. Let q be 46 - (3 + x + (-5)/(-1)). Find the third derivative of -q*l**3 + 44*l**3 - l**2 + 2*l**4 wrt l.
48*l
Suppose 0 = -22*g - 62*g + 504. Let c = 37 - 17. Find the third derivative of -16*z**g - 22*z**6 + 34*z**6 - c*z**2 wrt z.
-480*z**3
Let h(d) be the second derivative of 2357*d**6/10 - 1229*d**4/6 + 2*d + 918. What is the third derivative of h(f) wrt f?
169704*f
Let q(h) be the third derivative of -1031*h**5/12 - 1351*h**3/2 + 8*h**2 - 195*h. Differentiate q(g) wrt g.
-10310*g
What is the third derivative of 5*b - 122*b**2 - 1 - 12*b - 70*b**3 - 184*b**3 + 15*b**2 wrt b?
-1524
Let n = -214 + 225. What is the second derivative of -i**4 + 9*i**2 - 18 - 7*i + n*i**2 + 18 wrt i?
-12*i**2 + 40
Let z(l) be the third derivative of 19*l**3 - 1/40*l**6 + 0*l + 104*l**2 + 0*l**5 + 8/105*l**7 + 0*l**4 + 0. Find the first derivative of z(f) wrt f.
64*f**3 - 9*f**2
Let w(s) be the third derivative of s**6/6 - s**4 + 1073*s**3/6 - 167*s**2 - 3. Differentiate w(t) with respect to t.
60*t**2 - 24
Let c = 134 - 136. Let r be ((-4)/(-20))/(c/(-30)). Find the third derivative of 0*u - 3*u - 2*u**2 - 20*u**r - 2*u**3 wrt u.
-132
Let s(q) = -16*q**3 - 12*q**2 + 5459*q - 9. Let a(n) = -4*n**3 - 3*n**2 + 1365*n - 2. Let l(y) = 9*a(y) - 2*s(y). What is the second derivative of l(b) wrt b?
-24*b - 6
Find the second derivative of 49 - 95 - 1998*p + 46 + 2072*p**5 wrt p.
41440*p**3
Let s(j) be the second derivative of 3/20*j**5 + 0*j**4 + 0*j**2 + 11/21*j**7 - 1 - 7*j**3 + 5*j + 0*j**6. Find the second derivative of s(h) wrt h.
440*h**3 + 18*h
What is the third derivative of 6*v**5 + 1177712*v**4 + 3*v**3 - 1177712*v**4 + 2*v**6 + 3030*v**2 - 9*v**3 wrt v?
240*v**3 + 360*v**2 - 36
What is the second derivative of 829*d**4 + 11046*d - 374*d**4 - 10916*d + 1033*d**4 wrt d?
17856*d**2
Find the first derivative of 2456 + 2548*p**4 + 4750*p - 9531*p + 4781*p wrt p.
10192*p**3
Let l(x) = x. Let h = 54 + -53. Let r(f) = -f**2 - 7*f + 7. Let b be r(h). Let k(m) = 26*m + 35. Let o(t) = b*k(t) - l(t). What is the derivative of o(j) wrt j?
-27
Find the second derivative of -4 + 78*g + 184*g - 608*g**3 - 2604*g**3 + 483*g**3 wrt g.
-16374*g
Let p(a) = -a - 1. Let g be p(14). Let w be (12/9)/((-5)/g). What is the third derivative of 5*s**4 - 8*s**w + 3*s**4 + 4*s**4 - 19*s**2 wrt s?
96*s
Differentiate 1924118 - 1938066 + 1630*k - 10246*k wrt k.
-8616
Suppose 4*s + 72601 - 72621 = 0. Let k(i) be the first derivative of 23 + 0*i**4 + 0*i - 7/5*i**s + 19/3*i**3 + 0*i**2. Find the third derivative of k(b) wrt b.
-168*b
Find the first derivative of 698*a**4 - 76 - 27*a**3 - 89*a**4 - 536 + 27*a**3 wrt a.
2436*a**3
Let o = 40 + 2. Find the second derivative of 51*v**4 + 101 - 51*v**4 - o - 11*v**5 - v wrt v.
-220*v**3
Suppose 0 = 2394*s - 2321*s. Let p(q) be the second derivative of 25*q + 0*q**2 + 11/3*q**3 + s + 7/6*q**4. What is the second derivative of p(z) wrt z?
28
Let c(f) be the second derivative of -1217*f**6/30 - 103*f**2/2 + 2173*f. Differentiate c(b) wrt b.
-4868*b**3
Let f(u) = -430*u - 860. Let a be f(-2). Let q(z) be the first derivative of -14/3*z**3 + a*z**2 + 16 - 8*z. Differentiate q(y) wrt y.
-28*y
Differentiate 1568 - 879*q**2 + 309*q**2 + 423*q**2 - 1692*q**2 - 410*q**2 wrt q.
-4498*q
What is the third derivative of -61080*o**4 + 24382*o**4 + 1410*o**2 - o + 26553*o**4 wrt o?
-243480*o
Let d(n) = -n**3 - n**2 - 4*n + 7. Let v be d(-3). Let r = v + -35. Find the second derivative of -24*m**4 + 7*m - 14*m**r + 14*m**2 wrt m.
-288*m**2
Let n(x) be the second derivative of 527*x**7/21 + x**3/6 + 41*x**2/2 + 13*x - 25. Find the second derivative of n(z) wrt z.
21080*z**3
Let v = -15 + -435. Let b be (v/(-27))/(4/6). What is the derivative of -b + 19 + 29*w + 16 + 10 wrt w?
29
Let i(f) = -f**2 - 3*f - 3. Let a be i(-8). Let h = a + 54. What is the second derivative of 7*k**2 - 3*k**2 + h*k**2 + 9*k - 6*k**2 wrt k?
18
Suppose -5*u - 3*f = -58, -5*u + 5*f + 82 = 2*f. Differentiate -3114*v**2 - u*v**3 + 3114*v**2 - 18 + v**4 wrt v.
4*v**3 - 42*v**2
Let t(l) be the third derivative of -7013*l**5/60 + 5959*l**4/24 + l**3/3 + 11391*l**2. Find the second derivative of t(u) wrt u.
-14026
What is the second derivative of 5 - z**3 + 235*z**2 - 19 - 15 + 31 + 1871*z wrt z?
-6*z + 470
Let i(a) be the third derivative of 3509*a**9/504 - 74*a**5/15 - a**4/24 - 3*a**2 + 23*a. What is the third derivative of i(k) wrt k?
421080*k**3
Differentiate -3*z - 167 + 376 + 1077 - 2*z**4 wrt z.
-8*z**3 - 3
What is the first derivative of -2657 - 7*l**3 + 74*l**4 + 224*l**3 - 77*l**4 wrt l?
-12*l**3 + 651*l**2
Suppose -2*k - 22 = -j - 2*j, -5*j = 5*k - 70. Find the third derivative of -15*b**4 - 19*b**4 - 7*b**2 + j*b**4 + 181*b**2 + b**3 wrt b.
-576*b + 6
Let u(r) be the first derivative of 26 + 34 - 650*r**4 + 1293*r**4 + 186*r - 665*r**4 + 7*r. What is the derivative of u(h) wrt h?
-264*h**2
Let p(t) = 7 + 1 - 36 - 46*t**2 - 4*t. Let q(b) = -92*b**2 - 7*b - 57. Let i(z) = -5*p(z) + 3*q(z). Find the second derivative of i(j) wrt j.
-92
What is the second derivative of -1929*n**3 + 0*n**4 + 1756*n**3 + 2098*n + 2*n**4 wrt n?
24*n**2 - 1038*n
Find the third derivative of -1181*t**3 + 132*t**3 - 510*t**3 - 117*t**2 + 4 wrt t.
-9354
Find the third derivative of -3*r**2 + 371*r**5 - 202 - 57 - 7*r**4 + 84 + 27*r**5 + 63 wrt r.
23880*r**2 - 168*r
What is the third derivative of 5058*y**2 + 2065*y**3 - 2206 + 3814*y**3 + 2206 wrt y?
35274
Let t(m) be the first derivative of -m**6/6 + 7*m**5/5 - 129*m**4/4 + m**3/3 - 95*m**2/2 - 10*m + 8008. What is the third derivative of t(s) wrt s?
-60*s**2 + 168*s - 774
Let c(g) be the third derivative of 42*g + 0*g**5 + 0 - 7/2*g**3 + 0*g**4 + 0*g**6 - 53/105*g**7 - 3*g**2. Find the first derivative of c(t) wrt t.
-424*t**3
Let l(q) = -12009*q - 4152. Let p(y) = -y - 9. Let m(t) = -l(t) - 21*p(t). Differentiate m(g) with respect to g.
12030
Let m(i) be the second derivative of 5/6*i**4 + 2*i - 14 - 16/3*i**3 + 0*i**2 + 3/10*i**5. What is the second derivative of m(t) wrt t?
36*t + 20
Suppose 6*g - g = -15. Let z = 20 - g. What is the second derivative of z*o + 4*o**2 - 22*o - 4*o**2 + 8*o**3 wrt o?
48*o
Let j(b) be the third derivative of 21*b**6/20 + b**4/24 - 821*b**3/6 + 2*b**2 - 95*b. Differentiate j(w) with respect to w.
378*w**2 + 1
Let j = -20 + -37. Let q = 59 + j. What is the third derivative of -41*m**3 - 12*m**2 + 38*m**2 + 18*m**q wrt m?
-246
Let x(a) = 1222*a**3 - 27*a**2 - 3*a + 1. Let v(u) = -6110*u**3 + 133*u**2 + 17*u - 7. Let c(j) = -2*v(j) - 11*x(j). What is the third derivative of c(y) wrt y?
-7332
Suppose 0 = 3*p - 1 - 8. Suppose 5*f - d = 11, -d - 1 = -p*f + d. What is the third derivative of 4*b**5 - 16*b**2 + 2383*b**3 - 2383*b**f wrt b?
240*b**2
Let c = -8 - -26. Let r(w) = w**2 - 16*w - 35. Let s be r(c). What is the second derivative of -s + 1 - 86*p + 80*p - 16*p**3 wrt p?
-96*p
Let o(a) = a**2 - 2*a + 5. Let t be o(-8). Let c be (-2)/5 - (-1309)/t. What is the second derivative of -c*l - 8*l**5 - 12*l + 10*l - 4*l**5 wrt l?
-240*l**3
Let p(r) be the second derivative of 143/20*r**5 + 174*r + 0 + 64/3*r**3