h?
132*h
Let b(h) be the second derivative of -1921*h**3/6 - 2437*h**2/2 + 2*h + 2228. Differentiate b(d) wrt d.
-1921
Let u(t) be the second derivative of t**3/6 + 7*t**2/2 + 7*t. Let k be u(12). What is the first derivative of k - 52*b + 67*b - 53*b wrt b?
-38
Let i(m) be the third derivative of 119*m**8/12 - m**5/12 + 7*m**4/24 + 9*m**3/2 + 2472*m**2. What is the third derivative of i(g) wrt g?
199920*g**2
Find the first derivative of -423*x + 492*x - 164 + 563 + 296*x + 398*x wrt x.
763
What is the third derivative of -104*r**3 - 140*r**2 - 6*r**2 + 522*r**2 - 2172*r**3 + r**2 wrt r?
-13656
Find the third derivative of -435*k**6 + 1286*k + 3*k**4 + 173*k - 148*k**6 + k**2 wrt k.
-69960*k**3 + 72*k
Let s(o) be the third derivative of o**9/504 - 177*o**6/40 - o**5/12 + 2*o**4 - 1344*o**2. Find the third derivative of s(q) wrt q.
120*q**3 - 3186
What is the second derivative of -24*k**2 - 139*k + 2*k**3 - 117*k + 13 - 175*k + 489*k wrt k?
12*k - 48
Let i(b) = -4*b + 65. Let h be i(16). Suppose 3*k + z - 12 = -h, -z = -4*k + 3. What is the second derivative of 2*q**k + 1837 - 1837 + 41*q wrt q?
4
Let x(t) be the second derivative of -57/20*t**5 + 0*t**4 - 1/6*t**3 + 0 + 13*t + 19/2*t**2. What is the second derivative of x(q) wrt q?
-342*q
Let l(t) = -t**3 + 10*t**2 + 10*t - 8. Let a be l(11). Let w = a - -52. What is the first derivative of 48 - 30 - w - 8*d wrt d?
-8
Let r(x) be the first derivative of x**4/4 + 106*x**3/3 - 4*x**2 + 1860*x - 5447. What is the first derivative of r(y) wrt y?
3*y**2 + 212*y - 8
Suppose 0 = -4*g + 5*z + 25, -48*g = -43*g + 3*z - 22. Let u = 49 + 91. What is the second derivative of 291*c**5 + 12*c - 146*c**g - u*c**5 wrt c?
100*c**3
Suppose -3*k + 2*t = -2*t + 9, -t - 1 = -4*k. Let b be k + 3/(36/8 - 3). Differentiate -25*d**4 - 35 + 9*d**3 - 10*d**b + d**3 wrt d.
-100*d**3
Let f(o) be the third derivative of -59/210*o**7 + 0*o**4 + 17/3*o**3 + 0*o**5 + 0 + 29*o**2 + 0*o + 0*o**6. What is the first derivative of f(p) wrt p?
-236*p**3
Let i(f) = -28*f**3 - 9*f**2 + 10*f + 8479. Let g(x) = -14*x**3 - 4*x**2 + 7*x + 4239. Let p(q) = 9*g(q) - 4*i(q). Find the first derivative of p(a) wrt a.
-42*a**2 + 23
Suppose o + 5*y = 3*y, o - 15 = 3*y. Suppose -70 - 74 = -o*b. What is the second derivative of b*d - 7*d**4 - 10*d + 38*d**4 wrt d?
372*d**2
Suppose -64 = -j - 3*j. Let l be (1/(15/(-100)))/((-4)/6). What is the second derivative of j*s**2 - 8*s - 30*s + l*s wrt s?
32
Suppose i - 4*h + 0 = -4, 1 = 3*i + h. What is the third derivative of -3*v**2 + 0*v**2 + 32*v**6 + i*v**2 - 2*v**6 - 16*v wrt v?
3600*v**3
Let p(f) be the third derivative of 297*f**6/8 + f**5/6 + 38*f**3/3 + 648*f**2 + 4*f. Find the third derivative of p(j) wrt j.
26730
Suppose 13 = 4*l - 7. Suppose 3*b = -a + 43, 0 = -l*b - a - a + 73. What is the first derivative of b - n**2 + n**2 - 9 - 10*n**4 wrt n?
-40*n**3
Find the second derivative of 5*j**3 + 0*j**3 + 59*j**2 - 2*j**3 - 4829*j - 1091*j**2 - 817*j**2 wrt j.
18*j - 3698
Suppose 0 = -3*t + 3*q + 24, 21*t - 27 = 17*t + 3*q. Find the third derivative of 88*a**t - 204*a**2 - 48*a**3 + 208*a**3 wrt a.
1488
Suppose 9*d - 12 = 6*d. Let r(k) = k**2 + 4*k - 9. Let q be r(d). What is the first derivative of -28 + 14*w - 7*w + q wrt w?
7
Suppose 0 = -131*i + 137*i - 12. What is the third derivative of -24*d**2 - 44*d**3 - 39*d**i - 42*d**3 + 27*d**3 wrt d?
-354
What is the third derivative of 220 - y**2 - 139*y + 3082*y**4 - 332 - y**2 + 113 wrt y?
73968*y
What is the third derivative of -153 - 2*x**2 + x**3 - 1410*x**5 + 1506*x**5 - x**3 - 3*x**4 wrt x?
5760*x**2 - 72*x
Let n be 5688/(-72)*(-2)/(0 - -2). Differentiate n*s**2 + 58 - 36*s**2 + 2*s**3 + 14 wrt s.
6*s**2 + 86*s
Let v(f) be the third derivative of 0*f + 1 - 11/24*f**4 + 89/60*f**5 - 46*f**2 + f**3. What is the second derivative of v(k) wrt k?
178
Let f(k) be the third derivative of -45*k**8/56 + 145*k**4/4 + 2*k**2 + 389*k. What is the second derivative of f(t) wrt t?
-5400*t**3
Let n(u) = -6 + u**2 - 2*u + u**2 - 4*u**2 + 3*u**2. Let o be n(4). What is the third derivative of -35*i**2 + 4*i**6 + 56*i**2 - 33*i**o wrt i?
480*i**3
What is the first derivative of 164*i**4 + 556 - 662*i**4 - 286*i**4 + 179*i**4 - 1083*i**4 wrt i?
-6752*i**3
Let z(d) be the third derivative of 1/8*d**4 + 35/6*d**3 + 117*d**2 + 0*d**7 + 0*d**6 + 0*d + 0 - 19/48*d**8 + 0*d**5. Find the second derivative of z(u) wrt u.
-2660*u**3
Let m(l) = 105*l**2 - 6*l + 5. Let b be m(1). What is the derivative of -b + 177*w**2 - 53*w**2 - 2*w**3 + w**3 - 45*w**2 wrt w?
-3*w**2 + 158*w
Suppose -4*x + 11 = -5. Let b be (2*(-6)/x)/(-1). What is the second derivative of 15*w**3 - 7*w**3 + w + 14*w**b + 29*w wrt w?
132*w
Let v(n) be the second derivative of 1006*n**7/21 + 3395*n**3/6 + 2*n - 885. What is the second derivative of v(u) wrt u?
40240*u**3
Let s(i) = -2669*i**2 + 4327*i - 2. Let z(k) = -2667*k**2 + 4380*k - 3. Let b(a) = -9*s(a) + 6*z(a). What is the second derivative of b(g) wrt g?
16038
Find the third derivative of v**6 + 31100*v**4 - 2*v**6 + 412 - 31091*v**4 + 13*v**5 - 3*v**2 wrt v.
-120*v**3 + 780*v**2 + 216*v
Let t(d) = 13*d**4 - 14*d + 2. Let c(z) = -14*z**4 + z**3 + 14*z - 2. Let n(l) = 6*c(l) + 5*t(l). What is the second derivative of n(w) wrt w?
-228*w**2 + 36*w
Suppose -20 = d - 164. What is the second derivative of 80*f**4 - 319*f**2 + 158*f**2 + 161*f**2 - 7*f**4 - d*f wrt f?
876*f**2
Suppose -3*c + 1 = 28. Let j be (-2 - 1) + (-90)/c. Find the third derivative of 11*t**2 - j*t**5 - 3*t**2 + 5*t**5 - 14*t**5 wrt t.
-960*t**2
Find the first derivative of 11*t**3 + 71*t**3 + 5*t + 97 + 36 - 39*t**3 - 3*t wrt t.
129*t**2 + 2
Let u(z) = -z**3 - 7*z**2 - 12*z - 9. Let a be u(-6). What is the derivative of 637*k**2 - a + k**4 - 10*k**4 - 634*k**2 wrt k?
-36*k**3 + 6*k
Let o = -10212 - -61297/6. Let g(b) be the second derivative of -13*b + o*b**3 + 0 - 17/2*b**2. What is the derivative of g(y) wrt y?
25
Let n be (21/(-9) + 5)*(-3)/(-4). Find the third derivative of -82*w**2 + 44*w**2 + 33*w**n - 128*w**5 - 5 wrt w.
-7680*w**2
Let r = -304 + 319. Find the second derivative of -84*g + 170*g + r*g**3 - 116*g**3 wrt g.
-606*g
Let u(m) be the first derivative of -12*m**5/5 + 5*m**4/4 - m**3/3 - 239*m**2/2 - 6*m - 5725. What is the third derivative of u(i) wrt i?
-288*i + 30
Let i(k) be the second derivative of 1989*k**5/10 - 2309*k**2/2 - 10*k + 41. What is the derivative of i(z) wrt z?
11934*z**2
Let o(l) = 2*l**2 + 22*l - 99. Let a be o(4). Let i be (-1 - 5)*1/(-3). Differentiate 7 - 12 - 3*v**i - a + 8*v**2 wrt v.
10*v
Let n(s) be the second derivative of 4885*s**4/12 + 45*s**3/2 - 4*s**2 - 5605*s + 1. Find the second derivative of n(f) wrt f.
9770
Let b(u) = 1421*u - 4829. Let g(t) = 1387*t - 4831. Let f(v) = -8*b(v) + 10*g(v). Differentiate f(r) with respect to r.
2502
Suppose -72 = 55*g - 73*g. Suppose 5*q - 3158 = -u, -4*u - 3143 = -q - 4*q. Find the first derivative of 631*s**3 + 25 - q*s**3 + 20*s**g wrt s.
80*s**3
What is the second derivative of 5*k**4 - 4*k**4 - 28*k**2 + 553*k - 443*k wrt k?
12*k**2 - 56
Let b(j) be the second derivative of 17*j**6/40 - 193*j**3/6 + 45*j**2 + 60*j. Let x(y) be the first derivative of b(y). Differentiate x(z) with respect to z.
153*z**2
Suppose 4*l - 73 = -41. Differentiate j**2 + l - 24*j**3 - 21*j**3 - 3 + 7 with respect to j.
-135*j**2 + 2*j
Let h(a) = 32*a - 46. Let k be h(7). Suppose k = 4*f + 3*d, -2*d + 2 = -2. What is the first derivative of 34*x + f*x**2 - 61*x + 27*x + 31 wrt x?
86*x
Let x = 109 - 103. What is the third derivative of -3 + 11*l**x - 3 + 6 - 16*l - l**2 + 4*l wrt l?
1320*l**3
Let a(q) = -q**4 - q**2 + q + 5. Let w(v) = 316*v**4 - 2*v**3 - v**2 + 4*v - 314. Let s(m) = -4*a(m) + w(m). What is the third derivative of s(o) wrt o?
7680*o - 12
Let k(p) be the second derivative of 511*p**6/15 + p**5/10 - 337*p**4/4 - 19*p - 11. Find the third derivative of k(n) wrt n.
24528*n + 12
Let x(y) = -y**2 + 7*y - 6. Let h be x(6). Suppose -5*w + 12 + 8 = h. Find the second derivative of 4*g**w + 40*g**4 - 23*g**4 + 0*g**4 - 14*g wrt g.
252*g**2
Suppose 4*h = 45 - 41. Let b be 3/h + 3*(-15)/(-9). Find the second derivative of -116*r**3 - 41*r + 112*r**3 + b*r wrt r.
-24*r
Suppose -7*k + 3 = -4. Let n be -5 - -