4. Let i(v) = 23 + 28 + v**2 - 50. Let o(l) = 6*i(l) + q(l). What is the second derivative of o(a) wrt a?
30*a + 2
Let k(u) be the first derivative of -2729*u**3/3 - 575*u**2 + 786. What is the second derivative of k(v) wrt v?
-5458
Suppose -i = -p, 3*p + 2*p - 20 = i. Suppose -p*q + 67 = 42. What is the third derivative of -14*n**2 - q*n**3 + 8*n**3 - n**2 wrt n?
18
Suppose -x = -2*l + 7, 3*l - x = -2*l + 16. Suppose -l*k = -0*k - 30. Find the second derivative of k*m**3 + 34*m - 2*m**3 + 7*m**3 - 18*m**3 wrt m.
-18*m
Find the third derivative of 902*l**2 - 5194*l**2 - 4495*l**2 + 195*l**2 + 12*l**6 + 7*l**4 + l**4 wrt l.
1440*l**3 + 192*l
Suppose -4*w + 3*v + 7 - 11 = 0, -2 = 5*w - 3*v. What is the third derivative of -16*y + 41*y**3 + 33*y + 15*y**w - 21*y wrt y?
246
Suppose -12*i + 124 = 4. Find the third derivative of 47*t**6 + 4*t**2 - i*t - 13*t**6 - 3*t**2 wrt t.
4080*t**3
Let j = -1592 + 1602. Suppose -2*f + 6*h - 2*h = -12, -f - 2*h = -26. Find the first derivative of -f*b + 27 + j - 17 wrt b.
-16
Suppose -3*b + 10 = 2*b + 4*c, 0 = 5*c. What is the second derivative of -5*j + 9 + 3 - 1161*j**b + 576*j**2 + 555*j**2 wrt j?
-60
Let l(m) = -39*m**3 + 5*m**2 + 146*m - 8346. Let f(y) = -43*y**3 + 6*y**2 + 145*y - 8347. Let o(t) = 9*f(t) - 10*l(t). Differentiate o(d) with respect to d.
9*d**2 + 8*d - 155
Find the second derivative of 28*w - 250*w + 1 + 81*w + 133*w**2 + 329*w**2 - 98*w wrt w.
924
Let i(a) be the first derivative of -261*a**2/2 + 296*a + 55. Let y(k) = -88*k + 99. Let w(g) = -4*i(g) + 11*y(g). Differentiate w(v) with respect to v.
76
Let q(y) = 14*y**2 - 2*y - 4. Suppose -8 + 14 = -3*s. Let t be q(s). Find the second derivative of t*a**2 + 15*a**4 - 4*a - 56*a**2 wrt a.
180*a**2
Let k = 12 + 8. Suppose 0 = -w + 11*w - k. What is the third derivative of -26*d**3 - 44*d**w + 26*d**3 - 47*d**4 + 14*d**4 wrt d?
-792*d
Find the second derivative of -97 + 204 + 1058*j**2 - 107 + 1061*j wrt j.
2116
Let h(b) be the second derivative of 57/2*b**2 + 7*b + 0*b**3 + 0 + 9*b**4. Differentiate h(i) with respect to i.
216*i
Let x(f) = 13176*f**3 + 2*f**2 + 7514*f - 4. Let h(c) = -10*c**3 - c**2 + c + 2. Let i(a) = 2*h(a) + x(a). What is the second derivative of i(z) wrt z?
78936*z
Let m(i) = 2502*i - 387. Let j(y) = 834*y - 133. Let s(l) = -8*j(l) + 3*m(l). Differentiate s(t) with respect to t.
834
Suppose -3*a = 2*p - 109, 0 = -p - 3*a + 21 + 32. What is the third derivative of 39*q**2 + 60*q**3 + 57*q**3 - p*q**3 + 59*q**3 + 28*q**2 wrt q?
720
Let x(g) be the second derivative of -1609*g**5/5 + 261*g**3/2 - 3*g**2/2 + 202*g + 1. Find the second derivative of x(f) wrt f.
-38616*f
What is the third derivative of -30 - 297*f**6 + 1819*f**6 - 27 + 1007*f**2 + 57 wrt f?
182640*f**3
Let v = -50 - -103. Suppose v + 31 = 6*t. Find the second derivative of 21*m - t*m + 27*m**3 + 0 + 0 wrt m.
162*m
Suppose q - 2*q + 2 = 0. Let g be (-12 + 11)*11 - -19. Find the third derivative of q*s**2 + 21*s**6 + 3*s**2 - 11*s**2 - g*s**2 wrt s.
2520*s**3
Let h(k) be the first derivative of -17/2*k**6 - 2/5*k**5 + 0*k**4 - 139/2*k**2 - k + 0*k**3 + 286. What is the second derivative of h(c) wrt c?
-1020*c**3 - 24*c**2
Let q(a) = 114*a + 124. Let c(s) = -116*s - 124. Let l = 136 + -139. Let z(m) = l*c(m) - 4*q(m). What is the first derivative of z(f) wrt f?
-108
Suppose 8 = 2*l - 4*n, n = -0*n. Suppose 2*u + 7 = g - 2, 0 = 4*g + l*u - 12. What is the second derivative of 87*c - 63*c + 2*c**5 - 2*c**5 - c**g wrt c?
-20*c**3
Let r be (((-2)/(-4))/((-6)/(-12)))/1. Let c(g) = -g. Let u(q) = 34*q**4 + q**3 + 88*q. Let s(b) = r*u(b) - 5*c(b). Find the second derivative of s(x) wrt x.
408*x**2 + 6*x
Let m(n) be the first derivative of -n**2/2 + n + 62. Let z(j) = 8*j**2 + 4*j - 9. Let b(s) = 4*m(s) + z(s). What is the derivative of b(q) wrt q?
16*q
Let v(x) be the second derivative of 179*x**5/4 + x**4/3 + 105*x**2/2 + 13*x - 30. Find the third derivative of v(k) wrt k.
5370
Let u(v) = v**2 - 7*v + 10. Suppose 0*f + f + y = 1, -2*f - y = -7. Let p be u(f). Differentiate -4 + 13*x**4 - 11*x**p + 2 - 9 with respect to x.
8*x**3
Let p be -2 + 4 + (-5 + 15)/5. Find the third derivative of -2 + 97*f**2 - 3*f**5 + f + 6*f**p - 10 + 12 wrt f.
-180*f**2 + 144*f
Let m(p) be the third derivative of 0*p - 1/30*p**5 + 0 + 8/3*p**3 + 19/12*p**4 - 57*p**2. Differentiate m(v) with respect to v.
-4*v + 38
Suppose 3*s = -2*s - s. Suppose 167 = z + 4*z - 2*o, -4*z - 2*o + 130 = s. Find the second derivative of z*f**3 - 828 - 2*f + 828 wrt f.
198*f
Find the second derivative of 1957*r**4 + 114*r**3 + 1829*r - 3*r**2 + 18*r**3 + 5*r**2 - 1943*r**4 wrt r.
168*r**2 + 792*r + 4
Let c(l) = 2*l + 9. Let h = 1 - 1. Let n be c(h). What is the third derivative of -6*q**2 - q**6 - 10*q**6 - n*q**2 - q**6 wrt q?
-1440*q**3
Let o(l) be the third derivative of -637*l**6/40 - 2011*l**5/60 - 1127*l**2. What is the third derivative of o(f) wrt f?
-11466
Let q = 22 - 16. What is the third derivative of -2*i**q - 32*i**3 - 51*i**2 + 15*i**5 + i**6 + 32*i**3 wrt i?
-120*i**3 + 900*i**2
Let m(q) be the third derivative of 8143*q**6/120 - 713*q**4/12 - 70*q**2 + q + 1. Find the second derivative of m(c) wrt c.
48858*c
Suppose 4*u + 4 = 2*r, 3*r - 4*u + 8*u - 16 = 0. Suppose -d = 2*v + 1 - 10, -4*v = -r*d. What is the derivative of -18*g**d - 10*g**3 + 11 - 3 - 1 wrt g?
-84*g**2
Let w be 70 + (7 - 5)*1. Let x be (-192)/w*3/(-2). Find the third derivative of -4*n**3 + 0*n**5 + 27*n**2 + x*n**3 - 7*n**5 wrt n.
-420*n**2
Let c = 105 + -101. Suppose -4*o = -3*t + 5, 16 = c*t + o + 3*o. Find the first derivative of 20 - 4*i - 7*i + 19 + t*i wrt i.
-8
Differentiate 373*f**2 - 918 - 266 - 149 - 199 wrt f.
746*f
Let y(p) be the second derivative of p**7/21 - 3123*p**5/20 - 73*p**4/4 - p**3/6 - p**2 - 42*p - 13. Find the third derivative of y(b) wrt b.
120*b**2 - 18738
Let s(z) = -59409*z + 43540. Let l(y) = 3713*y - 2720. Let v(b) = 63*l(b) + 4*s(b). Differentiate v(c) wrt c.
-3717
Let q(w) = -w**3 + 2*w**2 + 2*w + 2. Let p(h) = -115*h**3 - 7*h**2 + 1076*h - 8. Let z(v) = -p(v) - 4*q(v). Find the third derivative of z(f) wrt f.
714
Suppose -17*f - 25 = -22*f. Suppose 9*d - 76 = f*d. Find the second derivative of q**5 + 2*q + d*q**5 - 8*q wrt q.
400*q**3
Let l(m) be the second derivative of -m**6/120 + 3*m**4/8 + 22*m**3/3 - 3*m**2 - 41*m. Let w(k) be the first derivative of l(k). Differentiate w(o) wrt o.
-3*o**2 + 9
Let k = 22409 + -22381. Let q(o) be the first derivative of 15/2*o**2 + 40*o - k. Differentiate q(g) wrt g.
15
Let m(b) be the third derivative of -b**8/168 - 79*b**7/30 + 1043*b**5/60 - 1000*b**2 + 1. Find the third derivative of m(n) wrt n.
-120*n**2 - 13272*n
Let p be (-12 + 14)*(-3)/(-2). Suppose -2*d + 9 = p. What is the second derivative of -118*g**d - 6*g - 117*g**3 + 205*g**3 wrt g?
-180*g
Let y = 274 - 269. Let z(s) = 13*s**2 - 10*s - 3. Let a(w) = -19*w**2 + 16*w + 4. Let k(v) = y*a(v) + 7*z(v). What is the second derivative of k(t) wrt t?
-8
Let j(h) be the second derivative of 3/2*h**2 + 147*h + 0 + 3/2*h**3 - 29/20*h**5 + 1/12*h**4. Find the second derivative of j(w) wrt w.
-174*w + 2
Let q(j) be the second derivative of -763*j**4/6 + 641*j**2/2 - 21*j + 23. Differentiate q(o) wrt o.
-3052*o
Let i(f) be the second derivative of 0*f**2 + 0 + 9/2*f**4 + 61*f - 6*f**3. What is the second derivative of i(w) wrt w?
108
Let l(z) = 1866*z + 971. Let v(r) = 4*r + 1. Let d(f) = -l(f) + 2*v(f). What is the first derivative of d(y) wrt y?
-1858
Let o(w) = 861*w**4 - 7*w**3 - 32*w - 161. Let q(j) = 859*j**4 - 6*j**3 - 28*j - 160. Let n(b) = -6*o(b) + 7*q(b). Find the second derivative of n(c) wrt c.
10164*c**2
Let s(u) be the third derivative of -2*u**7/105 - u**6/60 - u**5/6 + u**4/24 - 485*u**3/6 + 289*u**2 - 2*u - 2. What is the second derivative of s(i) wrt i?
-48*i**2 - 12*i - 20
Let z(d) be the third derivative of 557*d**4/12 - 1357*d**3/6 + 4*d**2 + 302*d. Differentiate z(a) with respect to a.
1114
Find the second derivative of 8419*n**2 - 1369*n**3 + 229 - n**4 - 228 + 300*n - 8417*n**2 wrt n.
-12*n**2 - 8214*n + 4
Let m(z) be the third derivative of 421*z**7/70 + 745*z**4/24 + 68*z**2 - 19*z. Find the second derivative of m(x) wrt x.
15156*x**2
Let m(o) = -25*o**2 - 1468*o - 4112. Let b(f