4. Let p(j) = -4*i(j) - 6*x(j). Differentiate p(r) with respect to r.
-6*r**2 - 64*r
Let x be -3*((-2)/3 - (-7 + 3)). Let q be ((-228)/(-30)*1)/((-4)/x). Find the third derivative of 37*y**6 - 8*y**3 + 3*y**3 + 5*y**3 - q*y**2 wrt y.
4440*y**3
Let z(f) be the second derivative of -2*f**7/7 + f**6/6 - f**3/3 - 573*f**2 - 1369*f. Find the second derivative of z(u) wrt u.
-240*u**3 + 60*u**2
Suppose 19*p - 3*p = 592. What is the first derivative of 53 - 33*t**2 - 30*t**4 - p*t**2 + 70*t**2 wrt t?
-120*t**3
Let o(f) be the first derivative of f**6/6 + 1843*f**5/5 - 2160*f**2 - 2136. Find the second derivative of o(i) wrt i.
20*i**3 + 22116*i**2
Let i(a) be the second derivative of 89/12*a**4 - 1/6*a**3 + 29 - 125/2*a**2 + 2*a. Differentiate i(r) wrt r.
178*r - 1
Let q(d) be the first derivative of 63*d + 0*d**2 - 5/2*d**4 + 7 - d**3. Find the first derivative of q(o) wrt o.
-30*o**2 - 6*o
Let b = -34 + 39. What is the second derivative of -7 + 42*f**3 + b*f**3 + 27*f + 7 wrt f?
282*f
Suppose 57*m + 31*m - 162 = 7*m. Let w(l) be the second derivative of -21/2*l**m + 4/3*l**3 + 5*l + 0. Differentiate w(x) wrt x.
8
Find the third derivative of p**3 - 7905*p**2 + 2*p**3 + 240*p**5 + 8586*p**2 - 3*p**3 + 9*p**4 wrt p.
14400*p**2 + 216*p
Let r(d) be the first derivative of -26*d**6/3 - d**5/5 - 1245*d**2/2 - 251. What is the second derivative of r(l) wrt l?
-1040*l**3 - 12*l**2
Let v(a) be the first derivative of -4973*a**3/3 + 183*a**2/2 - 3*a + 2211. Find the second derivative of v(q) wrt q.
-9946
Let s(n) be the second derivative of 7/3*n**3 + 0*n**5 + 10/21*n**7 + 85*n + n**2 - 1 + 0*n**4 + 0*n**6. Find the second derivative of s(c) wrt c.
400*c**3
Suppose 5*z - 3*a - 34 = 0, 4*a = a - 9. Find the second derivative of -1960*h**4 - 34*h**z + 13*h + 1960*h**4 wrt h.
-680*h**3
Find the second derivative of 24*w**5 - 82*w**2 + 95*w**2 + 57*w**2 + 34*w**5 - 45*w + 37 - 7*w**5 wrt w.
1020*w**3 + 140
Let o(t) be the first derivative of 63*t**6 + 293*t**2 - 464. Find the second derivative of o(d) wrt d.
7560*d**3
Let l(f) = 4694*f**2 + 5493. Let q(i) = 4697*i**2 + 5498. Let j(m) = 2*l(m) - 3*q(m). Differentiate j(a) wrt a.
-9406*a
Let c(l) be the first derivative of -2*l**3/3 + 993*l**2 + 1537*l - 506. What is the derivative of c(i) wrt i?
-4*i + 1986
What is the second derivative of -4275*d + 533*d**3 + d**2 + 533*d**3 - 1628*d**3 + 27*d**4 - 99*d**4 + 534*d**3 wrt d?
-864*d**2 - 168*d + 2
Let o(p) be the second derivative of 0*p**6 + 197/12*p**4 + 0 + 0*p**3 - 174*p + 0*p**5 + 57/14*p**7 + 0*p**2. What is the third derivative of o(d) wrt d?
10260*d**2
Let g(h) = -1577*h**3 + 3*h**2 - 3*h - 1025. Let a(w) = -w**3 + w**2 - w + 23. Let d(o) = 6*a(o) - 2*g(o). Differentiate d(z) wrt z.
9444*z**2
Let s(v) be the third derivative of -2*v**7/3 - v**5/60 + 275*v**4/8 + v**2 + 522*v. Find the second derivative of s(m) wrt m.
-1680*m**2 - 2
Let a(u) = -1504*u**2 - 13*u - 1130. Let z(p) = 1508*p**2 + 17*p + 1130. Let c(y) = -4*a(y) - 3*z(y). Differentiate c(w) with respect to w.
2984*w + 1
Find the second derivative of 260 - 133 + 55*u + u**3 - 127 + 433*u - 273*u**2 wrt u.
6*u - 546
Suppose 29*f - 11*f = 54. What is the third derivative of 122*w**f + 122*w**2 - 6257 + 6257 wrt w?
732
Let r be (2/(-4)*-2)/(13 + -12). Let f(o) = 60*o + 14. Let j(k) = -1. Let w(b) = r*f(b) + j(b). Find the first derivative of w(p) wrt p.
60
Suppose -2*j = 242 - 248. Find the third derivative of 200*n**4 - 5*n**3 + n**j - 96*n**2 - 196*n**4 + 5*n**3 wrt n.
96*n + 6
Differentiate -521*o**2 - 127592 - 2485*o**2 + 94*o**2 + 125005 + 387*o**2 with respect to o.
-5050*o
Let f be 0*(-2 - (-6)/4) - -71. Let q = f - 36. Find the first derivative of 45*d + 2 - q - 8 - 6*d wrt d.
39
Let b(t) be the first derivative of -151*t**5 - 751*t - 773. What is the first derivative of b(u) wrt u?
-3020*u**3
Suppose -4*o + 7 + 13 = 0. What is the second derivative of 6*n + 0*n - 1 - 69*n**o - 4*n - 3*n wrt n?
-1380*n**3
Let l(h) = -1026*h**3 - 5*h**2 - 3934*h + 4. Let j(d) = 2*d**3 + d**2 - 13*d - 1. Let n(k) = -4*j(k) - l(k). Find the second derivative of n(t) wrt t.
6108*t + 2
What is the second derivative of -o**4 + 10 + 0*o**4 - 5*o + 1596*o**2 + 14*o**4 - 13*o**4 - 2*o**4 wrt o?
-24*o**2 + 3192
Let p be ((-20)/6)/(-4*(-4)/24). Let b(d) = 62*d - 55. Let y(m) = -60*m + 56. Let t(f) = p*b(f) - 4*y(f). Differentiate t(w) wrt w.
-70
Let c(k) be the third derivative of 0*k + 0 + 17/30*k**6 - 1/24*k**4 - 7/30*k**5 - 29*k**2 + 0*k**3. Find the third derivative of c(u) wrt u.
408
Find the second derivative of -655*f + 8725*f**4 - 4361*f**4 - 4362*f**4 + 440*f**5 wrt f.
8800*f**3 + 24*f**2
Suppose 0 = -5*r + q + 15, -2*r + q + 5 = -4. What is the third derivative of -175*s**3 + 5*s**3 - 49*s**3 - s**2 + 42*s + 4*s**r wrt s?
-1314
Let z(p) be the third derivative of 7*p**4/24 - 19*p**3/6 - 19*p**2. Let h be z(7). What is the second derivative of 2 - h*x + 69*x**3 - 46*x**3 - 2 wrt x?
138*x
Let i(d) = 9894*d**4 - 7*d**3 + 1083*d + 1. Let j(n) = 3298*n**4 - 2*n**3 + 361*n. Let q(c) = 2*i(c) - 7*j(c). What is the second derivative of q(o) wrt o?
-39576*o**2
Let n(i) = 794*i**2 - 394*i**2 - 399*i**2 + 1. Let h(f) = 10*f**3 + 12*f**2. Let v(r) = -h(r) - 3*n(r). What is the third derivative of v(c) wrt c?
-60
Let p be (-46)/(-16) + 3*8/192. Differentiate -61 - 102 + 48 - 42*k**p with respect to k.
-126*k**2
Let w(z) be the first derivative of -3297*z**2/2 - 10108*z - 9916. Differentiate w(i) wrt i.
-3297
Suppose 5*o - 314 = 4*m, -2*o + 2*m = o - 188. Find the second derivative of -304*c**2 - o*c - 51*c + 26*c wrt c.
-608
Find the third derivative of -140*t**2 + t**2 - 5*t**5 - 5*t**4 - 561*t**2 - 29*t**5 + 0*t**4 wrt t.
-2040*t**2 - 120*t
Let f be ((4 + -5)*1)/(4/(-16)). Find the first derivative of -11 - f*u + 18*u**3 + 61 + 3 wrt u.
54*u**2 - 4
Let n(i) = i**4 + 2*i**3 + i - 2. Let f(m) = -14687*m**4 + 12*m**3 + 4751*m - 15. Let l(h) = f(h) - 6*n(h). What is the second derivative of l(c) wrt c?
-176316*c**2
Find the second derivative of 51 - 76655*n**2 - 76225*n**2 + 151382*n**2 + 9*n wrt n.
-2996
Let x(f) be the second derivative of 61/12*f**4 - 8*f - 1/3*f**3 - 16*f**2 - 4. What is the second derivative of x(v) wrt v?
122
What is the second derivative of -4*j - 66*j**2 - 3 - 55*j**4 - 46*j + 3*j + 10*j**4 + 99*j**2 wrt j?
-540*j**2 + 66
What is the derivative of -23*q - 162*q**2 - 35*q + 62*q - 1162 wrt q?
-324*q + 4
Find the first derivative of 1614 + 1097*s + 1947*s - 655*s + 5708*s - 649*s wrt s.
7448
What is the second derivative of 461*c**4 + 59229545*c**3 - 59229545*c**3 - 4893*c wrt c?
5532*c**2
Differentiate -2890 - 39*y**2 + 2866*y**2 + 909*y**2 + 189*y**2 wrt y.
7850*y
Let s(w) be the third derivative of -1/4*w**4 + 0 + 1/60*w**5 + 0*w + 0*w**3 + 3/20*w**6 - 6*w**2. Find the second derivative of s(m) wrt m.
108*m + 2
Find the second derivative of -4992*p**2 + 3963*p**2 - 2*p + 2265*p**2 + 5 wrt p.
2472
Let d(j) be the second derivative of -3*j**5/4 + j**4/2 + 56*j**2 + 1194*j. Find the third derivative of d(x) wrt x.
-90
Let q(o) = 5*o - 29. Let w = 109 - 100. Let j be q(w). What is the second derivative of -11*m - j*m + 0*m - 39*m**2 + m wrt m?
-78
Let w(r) = -31*r**3 - 6*r - 54. Let v(d) = 29*d**3 + 5*d + 55. Suppose -114 = -28*t + 9*t. Let l(g) = t*v(g) + 5*w(g). What is the derivative of l(c) wrt c?
57*c**2
Differentiate 1744 - 459*w - 246*w - 19*w - 173*w wrt w.
-897
Let h(f) = -139*f + 1934. Let r(c) = -80*c + 1934. Let o(a) = 3*h(a) - 4*r(a). What is the first derivative of o(s) wrt s?
-97
Let c be (-2)/(-11) + (-2 - 357/(-33)). Suppose -3*v - 5*o = -c - 0, 4*v - 41 = 3*o. What is the second derivative of 10*s - 3*s**4 + v*s**4 - s**4 wrt s?
48*s**2
What is the second derivative of 3*h**2 - 2276*h**3 - 3*h**2 + 9233831 - 9233815 + 63*h wrt h?
-13656*h
Let z(j) be the second derivative of -j**7/21 + 69*j**6/10 + 37*j**3/2 - 10*j + 2. What is the second derivative of z(h) wrt h?
-40*h**3 + 2484*h**2
Let f(l) = -1308*l**5 - 5*l**4 + 964*l**2 - 15*l + 5. Let a(n) = n**4 - n**2 + 3*n - 1. Let i(x) = 5*a(x) + f(x). What is the third derivative of i(s) wrt s?
-78480*s**2
Let v(b) = -14*b**3 + 29*b + 630. Let n(p) = 15*p**3 - 29*p - 629. Let y(g) = 4*n(g) + 5*v(g). Find the first derivative of y(r) wr