 derivative of 27 - 12 + x*b + 33 - 12 wrt b?
121
Find the first derivative of 24*t**3 + 1553 - 46*t**3 + 19*t**3 + 14*t**3 - 27*t wrt t.
33*t**2 - 27
Let s(x) be the second derivative of 7*x**6/15 + x**5 - 10275*x**2/2 - 6031*x - 1. What is the derivative of s(c) wrt c?
56*c**3 + 60*c**2
Let g(i) be the third derivative of -i**8/56 - i**6/60 + i**5/60 - 2917*i**4/24 + i**3/3 + 2*i**2 + i - 112. What is the second derivative of g(w) wrt w?
-120*w**3 - 12*w + 2
What is the second derivative of 0*r + 2298*r**3 + 650 - 569 + r + 981 wrt r?
13788*r
What is the derivative of 53*k**4 + 616 + 18*k**4 + 46*k**4 - 19*k**4 wrt k?
392*k**3
What is the second derivative of 27 - 11*y + 11*y**5 - 314*y**5 - 810*y**5 wrt y?
-22260*y**3
Find the third derivative of -3766*p**3 - 473*p**2 - 275*p**2 - 569*p**3 + 277*p**3 wrt p.
-24348
Let j(v) = -v**2 - 52*v + 1238. Let r(f) = 5*f**2 + 157*f - 3713. Let i(u) = 7*j(u) + 2*r(u). Find the first derivative of i(p) wrt p.
6*p - 50
Find the third derivative of -251*z**2 + 7*z**4 + 15*z**4 + 13*z**5 - 9629 + 9628 wrt z.
780*z**2 + 528*z
What is the first derivative of -712 - 1085*y**2 - 469 - 251 + 50 + 354 wrt y?
-2170*y
Suppose 2*m - 1065 = -3*s, -4*s = 3*m - 7*s - 1590. What is the first derivative of -242 - 56*b + m - 75*b wrt b?
-131
Find the second derivative of -16078 - 141*k**2 - 48*k - 67*k + 8033 + 8041 wrt k.
-282
Find the third derivative of 4729*j**3 - j - 3712*j**2 - 478*j**2 - 3386*j**2 + j wrt j.
28374
Differentiate 1571*j**2 + 12153 - 2665*j**2 + 5465*j**2 + 4451*j**2 + 646*j**2 wrt j.
18936*j
Suppose 18*x - 7*x = 44. Find the third derivative of 7 + 22*r**2 + 36*r**2 + 79*r**x - 7 wrt r.
1896*r
Suppose -6*o + 71 = -139. What is the first derivative of 11*m - o + 18*m - 3*m wrt m?
26
Let m(f) be the third derivative of -225*f**8/112 + f**6/120 - 7*f**5/60 - 17*f**3/6 - 75*f**2. Find the third derivative of m(z) wrt z.
-40500*z**2 + 6
Let s(a) = a**2 - 5*a - 8. Let f be s(7). Suppose f = -15*m + 18*m. Differentiate 2*r**m - 6 + 7*r**2 + 34 + 5*r**2 wrt r.
28*r
Let u(h) be the first derivative of 751*h**6/3 + h**5/5 + 44*h**3 - 4*h + 5368. Find the third derivative of u(b) wrt b.
90120*b**2 + 24*b
Suppose 24*m = -10*m + 408. Find the third derivative of -10*r**5 + 133*r**2 + m*r**5 - 18*r**5 wrt r.
-960*r**2
Suppose 4*r + r = -150. Let l be (-116)/r + (-22)/(-165). What is the second derivative of l*z - 11*z + 12*z**2 - 4*z + z wrt z?
24
Let h(n) be the first derivative of -2159*n**5 + 2*n**3/3 + 43*n**2/2 - 4*n - 10008. What is the third derivative of h(a) wrt a?
-259080*a
Let h(w) = -w**3 - 15*w**2 + 5*w + 12. Let o be h(-15). Let i = -42 - o. Find the first derivative of -97 - 100 + 245 + i*m - 75 wrt m.
21
Suppose 0 = 5*y - 2*i - 2*i - 31, -4*y + i = -16. Let w be 3*y/(-27)*(0 + -9). What is the first derivative of 0*o**3 + 5*o**3 - 3*o**3 + 7*o**w + 20 wrt o?
27*o**2
Let d(a) be the third derivative of -17*a**8/168 - 17*a**7/210 - 11*a**5/60 + 5*a**4/24 - 2*a**3/3 + 2*a**2 - 16*a + 3. Find the third derivative of d(i) wrt i.
-2040*i**2 - 408*i
Suppose 0 - 78 = 118*y - 144*y. Let h(n) be the third derivative of 10*n**2 + 0 + 0*n - 1/8*n**4 + 7/6*n**y. Differentiate h(f) with respect to f.
-3
Let u(j) = -98*j**2 + 7272*j - 5445. Let c(k) = 20*k**2. Let w(g) = 5*c(g) + u(g). Differentiate w(t) wrt t.
4*t + 7272
Let x(g) be the second derivative of -93*g**8/28 + 488*g**4/3 + 1074*g. Find the third derivative of x(r) wrt r.
-22320*r**3
Let t(h) = -2*h**2 + 6*h + 3. Let u be t(3). Differentiate 215*g**u - 217*g**3 - 48 + g + 3*g with respect to g.
-6*g**2 + 4
Find the third derivative of 36*a**2 - 1327*a - 2*a**4 + 910*a - 1916*a**3 - 1023*a - 58*a**2 + 21*a**2 wrt a.
-48*a - 11496
Let x(p) = -2*p**2 - 60*p + 66. Let k be x(-31). Differentiate 9*q**2 + 24 + q**k + 2*q**4 + 89 + 38 wrt q.
12*q**3 + 18*q
What is the second derivative of 75 - 1819*v + 584*v**2 - 150 + 163*v**2 + 75 wrt v?
1494
Let w(p) be the third derivative of 0*p**3 - 23/42*p**7 + 0*p**5 + 0 + 103/24*p**4 + 2*p + 0*p**6 - 70*p**2. Find the second derivative of w(g) wrt g.
-1380*g**2
Let o(k) be the third derivative of 11*k**9/504 + k**8/336 - 2*k**5/15 - 17*k**3 - 6*k**2 - 24. What is the third derivative of o(v) wrt v?
1320*v**3 + 60*v**2
Let a(p) be the second derivative of p**6/15 - 413*p**5/20 + p**3/6 - 297*p**2/2 + 56*p + 8. What is the second derivative of a(d) wrt d?
24*d**2 - 2478*d
Find the first derivative of -14332 - 502*w**4 + 7788 + 129*w**4 wrt w.
-1492*w**3
Let t(o) = o**3 + 21*o**2 - o - 14. Let l be t(-21). Find the second derivative of l + 2*v**2 + 48*v**3 + 11 - 18 + 73*v wrt v.
288*v + 4
Let h(f) be the third derivative of -73*f**6/12 + 1315*f**3/6 - 1461*f**2. What is the first derivative of h(b) wrt b?
-2190*b**2
Let y(h) be the third derivative of 2*h**7/35 + 13*h**6/60 - 17*h**5/10 - 5*h**4/24 - 721*h**2. Find the third derivative of y(r) wrt r.
288*r + 156
Let w be (1 - -14)/(-9 - -12). Suppose 13 = -w*n + 108. Differentiate 8*a + 5*a - 13*a + n + 3*a**2 with respect to a.
6*a
Let n(c) be the third derivative of -1/12*c**4 + 9/5*c**5 - 8*c**2 + 0*c + 1 - 1/2*c**3. What is the second derivative of n(r) wrt r?
216
Let q(f) = -f - 12. Let k be q(-14). What is the third derivative of 1039 - 1039 - 197*j**k - 261*j**4 wrt j?
-6264*j
Let y(v) = -5*v + 36. Let z(a) = 5*a - 37. Let u(f) = 4*y(f) + 5*z(f). Let n be u(10). Find the second derivative of n*j + 5*j**4 - 15*j - 15*j wrt j.
60*j**2
What is the derivative of -24652*a**2 + 3295*a**4 + 73964*a**2 - 24655*a**2 - 24657*a**2 + 2398 wrt a?
13180*a**3
Suppose 70 + 200 = c. Let d be (-8)/(-3)*c/24. Differentiate d - q**4 - 2*q**4 - 36 wrt q.
-12*q**3
Let i(a) be the first derivative of 452*a**2 - 753*a + 688. What is the first derivative of i(w) wrt w?
904
Let z(q) = 5153*q**3 + 1852*q**2 + 4*q. Let a(w) = -25764*w**3 - 9246*w**2 - 22*w. Let p(y) = -2*a(y) - 11*z(y). Find the third derivative of p(j) wrt j.
-30930
Suppose 18 = 2*j + 7*j. What is the second derivative of -2*b**2 - 109*b - 40*b**3 + 57*b + 2*b**j wrt b?
-240*b
Let n(j) = 98*j + 0 + 3 - 8 - 235*j**2 + 45*j**2. Let f(r) = 63*r**2 - 33*r + 2. Let k(h) = -11*f(h) - 4*n(h). What is the second derivative of k(z) wrt z?
134
Let x = 35 + -33. What is the second derivative of 12*v + 8*v**x - 4*v + 15*v**2 wrt v?
46
Differentiate 2342*v**4 - 10*v**3 - 2*v - 4952*v**4 + 8421 + 2419*v**4 with respect to v.
-764*v**3 - 30*v**2 - 2
Suppose -4*j - 170 = 3*m + 38, -202 = 3*m - 2*j. Let f = -53 - m. What is the third derivative of f*r**4 + 9*r**2 + 18*r**2 + 29*r**4 wrt r?
1056*r
Let j(h) = -1004*h**4 - 3*h**2 + 1986. Let v(p) = -p**4 - p**2 + 1. Let o(l) = -j(l) + 3*v(l). Differentiate o(a) with respect to a.
4004*a**3
Let a(r) = -11*r - 42. Let k be a(-4). Differentiate -k*s**2 + 97 - 10*s**3 + s**2 - 61*s**3 wrt s.
-213*s**2 - 2*s
Let j(h) be the third derivative of 194*h**6/15 - h**5/20 - h**4/24 - 2*h**2 - 659. What is the third derivative of j(f) wrt f?
9312
Let l = -183 - -236. Find the third derivative of -27*x**3 - l*x**2 - 68 + 28 + 40 wrt x.
-162
Let s(m) = -m**3 - 12*m**2 - 9*m + 26. Let k be s(-11). Differentiate 3*p + 2*p**2 - 3*p - 32 - 432*p**k + 438*p**4 wrt p.
24*p**3 + 4*p
Suppose 3*c - 458 = 175. What is the derivative of -c - 223 + 503 + 23*v**3 wrt v?
69*v**2
Let z(l) = -2*l**3 + 2*l. Let w(s) = -17*s**3 - 20*s**2 + 503*s. Let x(c) = -3*w(c) + 24*z(c). Find the second derivative of x(i) wrt i.
18*i + 120
Let r(m) be the first derivative of -92*m**5/5 + 12*m**3 + 6170*m + 1505. What is the derivative of r(s) wrt s?
-368*s**3 + 72*s
Let z(r) = 50*r**2 - 7*r + 7. Let o be z(3). What is the second derivative of 444*g**4 - 903*g**4 + o*g**4 - 68*g wrt g?
-276*g**2
Let w(o) = -1884*o - 12502. Let f(y) = 12248*y + 81252. Let z(q) = -5*f(q) - 32*w(q). What is the first derivative of z(s) wrt s?
-952
Let w(t) = 9*t**3 + 9*t**2 - 83. Let k(a) = 3*a**3 + 3*a**2 - 27. Let v = -7 - 123. Let u = v + 126. Let n(d) = u*w(d) + 11*k(d). Differentiate n(m) wrt m.
-9*m**2 - 6*m
Let q = -144 - -146. Find the second derivative of -16*a**2 + 3*a + 16*a**q + 2*a**4 - a**3 + 7 wrt a.
24*a**2 - 6*a
Differentiate -977*d**3 + 3*d**2 - 5*d + 4*d - 492*d**3 - d + 8191 - 5*d**2 wrt d.
-4407*d**2 - 4*d - 2
What is the third d