
Let d(i) be the first derivative of 351*i**5 + i**3 - 2*i**2 - 51*i - 1563. Find the second derivative of d(j) wrt j.
21060*j**2 + 6
Suppose 3*l + 72 = 3*f, 2*f - 3*l = 7*f - 104. Let w be (-2 + 4)*(-5)/(-20)*f. What is the third derivative of -2*y**2 - 11*y**3 - w*y**2 - 133*y + 133*y wrt y?
-66
Let q = -48 - -51. Suppose 5*v + 19 = q*b, -b + 2*b - v = 5. What is the second derivative of -7*l + 2*l + 4*l**5 - b*l - 10*l wrt l?
80*l**3
What is the first derivative of 684 - 16666*p**4 + 15363*p**4 - 2668 - 1359 wrt p?
-5212*p**3
Let v be 3*(-7)/(6 + -13). Differentiate 23*i**4 - 38 - 7*i + 105 + v*i with respect to i.
92*i**3 - 4
Suppose 0 = -14*p + 12*p - 16. Let h(c) = -c**3 - 8*c**2 - 8*c - 27. Let w be h(p). What is the third derivative of -22*f**5 + f**5 + w*f**2 - 3*f**5 wrt f?
-1440*f**2
What is the third derivative of 6532*d - 3328*d - 11 - 2*d**2 - 3251*d - 166*d**3 wrt d?
-996
Suppose 5*d + t - 5 = -3, 1 = 4*d + t. Let r(h) = 2*h - 1. Let v(o) = -106*o + 14. Let g(z) = d*r(z) + v(z). Find the first derivative of g(i) wrt i.
-104
Let m(g) be the third derivative of -2207*g**5/20 - 2213*g**4/24 - 3958*g**2. Find the second derivative of m(p) wrt p.
-13242
Let f(i) be the third derivative of -4/3*i**4 + 61 - 1/15*i**6 + 0*i**3 + 0*i + i**2 + 1/20*i**5. What is the second derivative of f(m) wrt m?
-48*m + 6
Suppose o - 2*o = -3*t - 100, 355 = 3*o + 2*t. What is the third derivative of -187*s**2 - 47*s**3 + o*s - 55*s - 60*s wrt s?
-282
Find the third derivative of 29098*b**4 - 95*b**2 + 3 - 14552*b**4 - 57*b**5 - 17*b**6 - 14546*b**4 wrt b.
-2040*b**3 - 3420*b**2
Find the first derivative of -538*f**2 - 5842 - 753*f**2 + 5629 wrt f.
-2582*f
Differentiate -3825 - 52*b**2 - 14*b + 38*b - 1535 - 57*b**2 - 30*b with respect to b.
-218*b - 6
Let z(y) = 63*y**3 - 42*y**2 - 2*y - 2. Let m(b) = 31*b**3 - 22*b**2 - 2*b - 1. Let d(o) = -9*m(o) + 4*z(o). What is the second derivative of d(g) wrt g?
-162*g + 60
Let y(u) = -104*u**4 + 18*u**3 - 4*u - 2693. Let f(a) = -313*a**4 + 51*a**3 - 11*a - 8081. Let m(v) = 6*f(v) - 17*y(v). What is the derivative of m(o) wrt o?
-440*o**3 + 2
Let o(g) be the first derivative of -83*g**4/4 - 8*g**3/3 + 511*g**2 + 645. What is the second derivative of o(x) wrt x?
-498*x - 16
Let k be 5 + (2 - 5) + 1. Find the third derivative of -3*f**5 + 16*f**2 + f**5 - 5*f**k - 4*f**5 - 42*f**2 - 1 wrt f.
-360*f**2 - 30
Let m = 88 + -76. Suppose 14*s + m = 17*s. Find the first derivative of -11 - s - 35*v - 19 wrt v.
-35
Let z = -185 - -187. Find the second derivative of 14*r**z + r**3 - 44*r + 45*r - 34*r wrt r.
6*r + 28
Find the second derivative of -53*o**2 - 22*o + 53*o**2 + 214 - 1278*o**3 + 150*o**5 - 148*o**5 wrt o.
40*o**3 - 7668*o
Let b(k) be the third derivative of 1/42*k**7 + 0*k**5 + 0*k**3 + 0*k + 2*k**2 - 58 + 3/40*k**6 - 29/12*k**4. Find the second derivative of b(o) wrt o.
60*o**2 + 54*o
Let k(l) be the third derivative of -127*l**4/3 + 1898*l**3/3 + 926*l**2 - 2. Differentiate k(v) wrt v.
-1016
Let k(h) be the first derivative of -1759*h**3/3 - 183*h**2 - 974. What is the second derivative of k(p) wrt p?
-3518
Let m(g) be the second derivative of -274*g**6/15 + 509*g**4/4 + 257*g. Find the third derivative of m(h) wrt h.
-13152*h
Suppose 228 = 2*l + r - 173, -805 = -4*l - 3*r. Let n = l - 130. What is the second derivative of 28*q**2 + 26*q + 27*q**2 - n*q**2 wrt q?
-28
Suppose -11*g = -498 - 107. What is the second derivative of g*t + 46*t + 0*t**4 - 3*t**4 + 15*t**4 + 5*t**2 wrt t?
144*t**2 + 10
Let v = -269 + 272. What is the second derivative of -13*g + v*g**2 - 26*g - 19*g - 22*g**3 + g wrt g?
-132*g + 6
Let l(k) be the first derivative of k**6/180 + k**5/8 - k**4/2 + 25*k**3 - 27. Let a(v) be the third derivative of l(v). What is the derivative of a(q) wrt q?
4*q + 15
Let y(u) = -5*u + 27. Let v be y(5). Find the third derivative of 15*p - 6*p - 9*p - 43*p**5 - v*p**2 + 12 wrt p.
-2580*p**2
Let h(c) = 12*c**3 - 129*c**2 - 15*c - 67. Let l(y) = -4*y**3 + 2*y**2 + 2*y. Let x(r) = -h(r) - l(r). Find the second derivative of x(v) wrt v.
-48*v + 254
Let j(q) = -5*q + 27. Let y be j(5). Suppose y*v - 4 = 4. Find the first derivative of -48 - 16*l**4 + 8*l**v + 7*l**4 wrt l.
-4*l**3
Let d(a) be the third derivative of -343*a**6/20 + 134*a**5/5 + a**2 - 93. Find the third derivative of d(i) wrt i.
-12348
Suppose 0*k = 6*k - 36. Suppose k*w - 2 = 10. Find the second derivative of -r + 0*r**2 + 10*r + 5*r**w + 12*r**2 wrt r.
34
Suppose 20 = 2*y + 3*y. Suppose -d + 4 = -y. What is the second derivative of -1 + 0*w + 14*w**2 + d*w + 1 wrt w?
28
Suppose 2*l - 7 = -3*r, 8*r = -4*l + 4*r + 12. Find the third derivative of 198*c**5 - 3*c + 50*c**2 + c**2 - 7*c**2 - 2*c**2 - 14*c**l wrt c.
11880*c**2
Let j(x) = x**3 + 2*x**2 + 5. Let c be j(-3). Let i be (2/c)/((-7)/42). Find the third derivative of -939*g + 939*g - 6*g**i - 4*g**2 wrt g.
-36
Let b(z) = -12386*z**4 - 1947*z + 12. Let w(c) = 12386*c**4 + 1943*c - 9. Let h(j) = 3*b(j) + 4*w(j). Find the second derivative of h(i) wrt i.
148632*i**2
What is the derivative of 21*s**2 + 63*s - 61*s + 15*s**3 + 296 - 90*s**3 wrt s?
-225*s**2 + 42*s + 2
Let k be 60/33 + -2 - (-6)/33. Suppose 4*l - 3*n = 2*l + 24, l + 3*n + 6 = k. What is the third derivative of 18*p**6 - 37*p**l - 16*p**2 + 45*p**6 wrt p?
3120*p**3
Suppose 2*u = x + 2, x = -20*u + 21*u. What is the derivative of -94*j**2 - 24*j**x + 8*j - 7*j + 31*j**2 + 212 - 76*j**2 wrt j?
-326*j + 1
Let l be (-2)/(-3)*(1 - -2). Let i(c) = c**3 + 11*c**2 + 8*c - 12. Let z be i(-10). What is the second derivative of -31*y**l - 15*y - z*y + 56*y**2 wrt y?
50
Let o(s) = 2593*s**3 - 198*s**2 - 14*s - 38. Let z(w) = 1293*w**3 - 99*w**2 - 8*w - 20. Let q(f) = 4*o(f) - 7*z(f). What is the third derivative of q(p) wrt p?
7926
Let b(x) = 20*x**3 - 5*x**2. Let t(o) be the first derivative of o**4/4 - o**3/3 + 15. Let g(l) = -b(l) - 6*t(l). What is the third derivative of g(c) wrt c?
-156
What is the third derivative of -1063*r**2 - 23320*r**4 - 931*r**2 + 20585*r**4 wrt r?
-65640*r
Let o(l) = 2*l**2 + 4. Let a(k) = 807*k**2 - 696. Let s(t) = -2*a(t) + 18*o(t). What is the derivative of s(j) wrt j?
-3156*j
Let l(o) be the first derivative of -32 - 2*o**2 + 172*o + 2/3*o**3. What is the derivative of l(r) wrt r?
4*r - 4
Suppose 1 = 3*g + 28. Let a be 2/(((-3)/g)/((-16)/(-6))). What is the second derivative of a*f**4 - 3*f - 73 + 4*f + 73 wrt f?
192*f**2
Let q be (-80)/6*(4 + -10). What is the second derivative of 3*p - q*p**5 + 16*p - 15*p + 9*p wrt p?
-1600*p**3
Let i = 57383/76500 - 2/19125. Let p(s) be the second derivative of 0 + 14*s + 0*s**2 - 2/3*s**3 + 0*s**4 - i*s**5. Find the second derivative of p(v) wrt v.
-90*v
What is the second derivative of 51 + 517*i**2 + 1223*i**2 - 7*i - 18*i + 1546*i**2 - 256*i**2 wrt i?
6060
Suppose -5*n = -11*n + 396. Let o = -61 + n. Find the third derivative of 26*k**2 + o*k**2 + 0*k**2 - 18*k**3 + 7*k**2 wrt k.
-108
Let n(v) be the first derivative of -269*v**3/3 - 199*v**2 - 4*v - 278. Find the second derivative of n(u) wrt u.
-538
Let z(u) be the third derivative of -89*u**4/3 + 449*u**3 + 1806*u**2. What is the first derivative of z(p) wrt p?
-712
Find the first derivative of -2*a**2 + 3*a**2 + 161771*a**3 + 2*a + 4497 - 161058*a**3 wrt a.
2139*a**2 + 2*a + 2
Let h(s) be the first derivative of -2842*s**3/3 + 4444*s - 1440. Differentiate h(k) wrt k.
-5684*k
Let p(q) = -q**2 + 72*q - 1212. Let x be p(27). Let r(n) be the first derivative of 9*n**x - 24 + 23/2*n**2 + 0*n. Find the second derivative of r(y) wrt y.
54
What is the second derivative of -48394*q + 11763*q**2 - 955*q**2 + 53381*q wrt q?
21616
Let u(h) be the second derivative of -31*h**6/40 - 21*h**3 + 37*h**2 + 31*h. Let n(p) be the first derivative of u(p). Find the first derivative of n(f) wrt f.
-279*f**2
Suppose -p + 5*x - 9 = 0, -p + x + 1 = 2. Let m be 3 - (-3 + (-153)/p). What is the second derivative of 58*t**2 - 7*t + 83*t**2 - m*t**2 wrt t?
-36
Let q(y) be the third derivative of -53*y**6/12 - 553*y**4/24 - 1484*y**2 + 2. What is the second derivative of q(v) wrt v?
-3180*v
Let j be (0/3)/((-5)/5). Suppose -5*h - 2*a = -4*a - 21, j = h - 5*a - 18. What is the second derivative of 922*n**3 + 4*n + 20*n + n**5 - 922*n**h w