
Let p(f) be the second derivative of 17/2*f**2 + 1/3*f**3 - 11*f + 0*f**4 + 0*f**5 + 0 - 3*f**6. Find the second derivative of p(r) wrt r.
-1080*r**2
Suppose -2*l + 159 = 5*p - 2*p, -5*p - 351 = -4*l. Find the first derivative of -407 + 0*o + 0*o - l*o**2 + 323 wrt o.
-168*o
Let x(r) be the first derivative of -31*r**3 + 0*r**2 - 95/4*r**4 - 2*r + 151. What is the third derivative of x(u) wrt u?
-570
Differentiate -4611 + 0*l**3 + l**3 + 438*l**4 + 123*l**4 - l**3 wrt l.
2244*l**3
Let t be -3*141/(-6) + 9/6. Differentiate -t*h**2 + 20 + 0 + 1002*h - 1003*h wrt h.
-144*h - 1
Find the first derivative of -902 + 452 - 425 - 1109*c**2 - 371 wrt c.
-2218*c
Let f = 313 + -304. Suppose k - h - 20 = 0, 5*k - 4*h + h = 104. What is the first derivative of 47*v**4 + k + 44*v**4 + f - 45*v**4 wrt v?
184*v**3
Suppose -62 = -7*p + 8. What is the third derivative of -8*y**3 + 9*y**3 + p*y**2 + 8*y**4 + 17*y**2 wrt y?
192*y + 6
Let s(t) be the third derivative of 239*t**6/60 - t**5/30 + 1709*t**3/3 + 130*t**2 + 8*t. Find the third derivative of s(a) wrt a.
2868
Let p(d) = -48*d - 62. Let i be p(-4). What is the first derivative of 11 - 29 - 3 - 33 + 44*r + i*r wrt r?
174
Suppose 5*r - 7*r + 6 = 0. Suppose b + 12 = 5*v - r*v, 2*v + 5*b = -12. What is the second derivative of -6*m**4 + 2*m**v - 12*m**4 - 17*m + 2*m**4 wrt m?
-168*m**2
Let m(j) = j + 2. Let t be m(2). Let x be (6/10)/(t/40). What is the first derivative of -x*h**4 - 1 - h**4 + 0*h**4 + 8*h**4 wrt h?
4*h**3
Let v(b) be the second derivative of 563*b**5/10 - 23*b**4/2 + b**3/6 - 291*b + 2. What is the third derivative of v(l) wrt l?
6756
Suppose 0 = 54*s - 59*s + 25. Find the third derivative of 547*f - 547*f + 29*f**5 - 123*f**2 + 14*f**s wrt f.
2580*f**2
Suppose -16 + 2 = 2*n - 5*t, 0 = -4*n - t + 16. Find the second derivative of n + 15381*l**4 - l - 15417*l**4 - 18*l wrt l.
-432*l**2
Let u be (-1)/((-22)/(-4)) + (-460)/11. Let a = u + 52. What is the third derivative of p + a*p**2 - 8*p**3 + 11*p**2 - p wrt p?
-48
Let a(i) = -17*i**3 - 351*i**2 + 11856*i. Let k(f) = -108*f**3 - 2223*f**2 + 75087*f. Let d(z) = -63*a(z) + 10*k(z). Find the second derivative of d(g) wrt g.
-54*g - 234
Suppose 2*x + 226 = 3*o, -5*o + 157 + 225 = 2*x. What is the first derivative of -126*t + 10*t + 5*t - 103*t - 48 - o wrt t?
-214
Find the third derivative of -266*i**2 + 520*i**4 + 688*i**2 + 1153*i**2 - 17*i**3 + 17*i**3 wrt i.
12480*i
Let f(w) = -2*w**2 + w. Let s(q) = 3*q**2 + 306*q + 1222. Let m(g) = 2*f(g) + s(g). What is the first derivative of m(o) wrt o?
-2*o + 308
Let f be (6/6)/(-2 - (-33)/15). What is the third derivative of -7 + 38*i**3 - 134*i**3 + f - 35*i**2 + 42*i**2 wrt i?
-576
Let n = -28 + 44. Suppose 0 = -5*j + 2*b - b + n, 2*j + 3*b = 20. What is the second derivative of 32*u**4 - 4*u**3 - 60*u**j + 4*u**3 + 11*u wrt u?
-336*u**2
Let h(m) = -28*m**3 - 264*m**2 + 1446*m + 7. Let l(f) = 9*f**3 + 88*f**2 - 484*f - 2. Let a(w) = 4*h(w) + 14*l(w). What is the second derivative of a(u) wrt u?
84*u + 352
Let q(o) = -3*o - 2. Let a be q(-3). Let t(v) = -v**3 + 7*v**2 - v + 12. Let p be t(a). Find the second derivative of -3*f**3 - 10*f + 5*f - 7*f**3 - p*f wrt f.
-60*f
Suppose 4*d - 460 = -4*x, -4*x + 3*d + 453 = -0*x. Let b = 122 - x. What is the third derivative of -37*l**3 + b*l**3 + 124*l**2 - 11*l**3 - 172*l**2 wrt l?
-240
Let x(q) be the first derivative of 7*q**5/5 + q**4/4 + 7*q**3/3 - q**2 + 244*q + 5201. What is the second derivative of x(b) wrt b?
84*b**2 + 6*b + 14
Let z(u) be the third derivative of u**9/252 + 4*u**7/35 - u**6/30 + 499*u**5/5 - 1051*u**2. What is the third derivative of z(d) wrt d?
240*d**3 + 576*d - 24
Let d(i) = 25*i + 330. Suppose -3*k = -2*l - 129, 0 = -5*k + 4*l - 5*l + 228. Let j(o) = -o - 15. Let x(h) = k*j(h) + 2*d(h). Differentiate x(g) wrt g.
5
What is the third derivative of -734*o**5 + 64*o**2 + 1739*o**5 - 15*o**4 + 30*o**4 - 15*o**4 - 26*o wrt o?
60300*o**2
Suppose 9 = -3*c + 21. What is the first derivative of -15 + 1 + 0 - c + 72*d wrt d?
72
Let m(y) be the second derivative of 11879*y**4/12 + 3043*y**3/2 + 42*y - 39. Find the second derivative of m(o) wrt o.
23758
Find the third derivative of 74*u**5 + 1904*u**2 + 51*u**6 - 121*u**5 - 5*u**6 + 16*u**6 wrt u.
7440*u**3 - 2820*u**2
Let x(a) be the second derivative of -667*a**3/3 - 333*a**2/2 + 2*a + 34. Differentiate x(u) wrt u.
-1334
Let v be (-14)/(-21)*-12*(-9)/24. Let r be (7 - 4)*(-1 + 2). What is the second derivative of -g**5 + g**r - g**v + 32*g - 39*g wrt g?
-20*g**3
Let h(q) be the third derivative of -59*q**6/5 - 1045*q**4/12 - 19*q**2 - 24. What is the second derivative of h(i) wrt i?
-8496*i
Let l be 0/(-1) - (-11 + 5 - -4). Let n(w) be the second derivative of -7/2*w**l + 2/3*w**4 + 0*w**3 + 0 + 7*w. Differentiate n(x) wrt x.
16*x
Let o(z) be the third derivative of -1/60*z**5 + 0 + 1/6*z**4 + 0*z**7 + 0*z**3 + 0*z**6 + z**2 + 1/24*z**8 + 43*z. Find the third derivative of o(y) wrt y.
840*y**2
What is the derivative of -1691 - 2662 + 2087 + 143*t**4 + 47*t**4 wrt t?
760*t**3
Suppose 12*m - 3 = 21. Find the third derivative of 22*c**6 - 9*c**2 + 12*c**m - 56*c**2 - 62*c**6 wrt c.
-4800*c**3
Let q(k) = 4*k + 38. Let l be q(-9). What is the third derivative of 17*g**l + 2265*g**3 + 9*g**2 - 2279*g**3 wrt g?
-84
Let l(o) be the second derivative of 1 + 43/3*o**3 + 44*o**2 + 42*o. Find the first derivative of l(c) wrt c.
86
Let c(b) be the second derivative of b**5/20 - 5*b**3/6 - 399*b**2 + 2*b + 152. Differentiate c(k) with respect to k.
3*k**2 - 5
Suppose -2*u = -0*u - 12. Let b(x) = 11*x**2 - 61*x + 3. Let c be b(0). What is the third derivative of 23*s**3 + 40*s**2 + u*s**2 - 21*s**c wrt s?
12
Differentiate 167404*z - 167404*z - 8317 + 5281*z**3 with respect to z.
15843*z**2
Let n = 22 - 46. Let v be (10/(-6) + 2)/((-4)/n). Find the first derivative of 1 - 45*b**2 - 6*b**2 + 16 - v wrt b.
-102*b
Let w be 2/(-6)*15/10*-4. Suppose -4*i + 3*h = 4*h - 144, -w*i + 90 = 5*h. Find the first derivative of 20 + 3 - 5 + i*l + 6 wrt l.
35
Let p(a) be the first derivative of a**5/5 - 1023*a**4/4 - 2035*a**2/2 + 3*a + 2471. What is the second derivative of p(g) wrt g?
12*g**2 - 6138*g
Let y(l) = -380*l**3 - 115. Let w(c) = 755*c**3 + 230. Let j(h) = 4*w(h) + 10*y(h). What is the first derivative of j(p) wrt p?
-2340*p**2
Suppose 3*g + 4*y - 29 = -9, -15 = -3*y. Find the second derivative of -24*l**2 + l**3 - l - 14 + g*l - 4*l**3 - 6*l wrt l.
-18*l - 48
What is the second derivative of -3331*f**4 - 87 + 630*f + 618*f - 1265*f wrt f?
-39972*f**2
Suppose 3*i - 7*i = -4. Let a be (7/14)/(3*i/60). Find the first derivative of -a - 7 + 21 + 11*b**2 - 11 wrt b.
22*b
Let f(p) be the first derivative of -226*p**6/3 + 3557*p**3/3 + 6604. Find the third derivative of f(y) wrt y.
-27120*y**2
Let v be (-7 + 76/10)/(27/90). Let y(u) be the first derivative of -5*u + 0*u**4 + 13/3*u**3 + 3/5*u**5 + 0*u**v - 26. What is the derivative of y(r) wrt r?
12*r**3 + 26*r
Let u(a) be the first derivative of -181*a**6/2 - 238*a**3 - 717. Find the third derivative of u(y) wrt y.
-32580*y**2
Suppose -80*s + 81*s - 6 = 0. What is the third derivative of -47*r**2 + 20*r**6 - 25*r**2 + 61*r**s + r**4 wrt r?
9720*r**3 + 24*r
Find the first derivative of 269*z**2 + 409*z**2 - 172*z**2 + 1164 wrt z.
1012*z
Let d be ((-1)/2)/(2/12). Let b be (-4)/((-36)/273) - 2/d. What is the first derivative of -b - 953*m + 5*m**4 + 953*m wrt m?
20*m**3
Let u(z) be the first derivative of 1735*z**2/2 + 1146*z + 595. Differentiate u(l) with respect to l.
1735
What is the second derivative of 0*c**2 + 1027*c - 3326 + 3324 + c**2 - 163*c**3 wrt c?
-978*c + 2
Suppose -3*b + 3*d = -108, -3*d = b - d - 36. Let a = b + -23. Differentiate -26*y + 26*y + a*y**3 + 9 with respect to y.
39*y**2
Let w(v) be the first derivative of 100*v**6/3 - 3*v**5/5 - v**4/4 + 4*v**3/3 - v**2/2 + 86*v - 3175. Find the third derivative of w(n) wrt n.
12000*n**2 - 72*n - 6
Suppose 2 = 28*g - 54. Find the second derivative of 13*o**3 - 7*o + 11 - 16*o**3 - 14*o**g - 7*o**2 + 3*o**2 wrt o.
-18*o - 36
Let i(s) be the first derivative of -2014*s**3/3 - 1079*s**2/2 + 674. Find the second derivative of i(c) wrt c.
-4028
Let r(w) = w**2 - 26*w + 224. Let g be r(10). What is the thi