.
-120*w**3 - 2160*w**2 - 72
Let b(q) = q - 14. Let y be b(16). Differentiate 1402*k**y - 27 - 1405*k**2 + 6*k**3 + 104 wrt k.
18*k**2 - 6*k
Let j = 9563 - 9560. Let i(m) be the first derivative of 0*m**2 + 0*m**j + 9/4*m**4 - 24 - 27*m. What is the first derivative of i(b) wrt b?
27*b**2
Let y = -100 + 12. Let w be 6/27 + 1/((-9)/y). Find the second derivative of -1321*o**3 + 1321*o**3 + 9*o**5 - w*o wrt o.
180*o**3
Suppose -6*q - 760 = -5*c - q, -c + 172 = -5*q. Let m = c + -109. Find the third derivative of 10*k**2 + 7*k**3 - 6*k**2 + m*k**2 wrt k.
42
Suppose 59*q - 25*q - 680 = 0. What is the second derivative of 5 - 235*o**4 + o - 6*o + 30*o**4 - q*o wrt o?
-2460*o**2
Let l be 24/(-120) + 951/5. Let n = l + -94. Find the third derivative of -n*i + 96*i + 6*i**3 - 3*i**6 - 2*i**2 wrt i.
-360*i**3 + 36
Let t(r) = -r**3 + 3*r**2 - 3. Let d(c) = -847*c**3 - 1164*c**2 + 6. Let v(q) = -2*d(q) - 4*t(q). What is the third derivative of v(m) wrt m?
10188
Let r(k) be the third derivative of 8/105*k**7 + 0*k**5 + 0*k**6 + 0 - 7*k + 43/2*k**3 - k**2 + 0*k**4. Differentiate r(w) with respect to w.
64*w**3
Suppose 0 = 4*s - 4*v + 6 + 2, 0 = -4*v + 20. What is the third derivative of -74*g**2 + g + 206*g**2 - 82*g**2 - 24*g**s wrt g?
-144
Suppose 0 = -3*v - 3 - 39. Let x be (-49)/v - (-1)/4*2. Differentiate x*d - 7*d - 27 - 13*d - d wrt d.
-17
Let x be -15 + 23 - (0 + 4). What is the second derivative of 38187*m**2 + 103*m**4 - 55*m - 23*m**x - 38187*m**2 wrt m?
960*m**2
Let n be 51/15 - 6/(-10). Let v be (2 - 6) + -6 + 18. Find the first derivative of 5 - v + 13 + 6*f**n + 24*f**4 wrt f.
120*f**3
What is the first derivative of 9*r + 41 + 101 - 1 - 16*r**2 - 43*r**2 wrt r?
-118*r + 9
Let t(n) be the second derivative of 1/3*n**3 - 39/4*n**4 + 0 + 0*n**2 + 17/2*n**5 - 53*n. What is the third derivative of t(f) wrt f?
1020
Let l be ((-4)/1 - 1)/1. Let c be (1/2)/(l/(-50)). Find the second derivative of 6*y**5 + 10*y - 8*y**c + 10*y**5 + 9*y**5 wrt y.
340*y**3
Let v(f) = 615*f**4 - 3*f**3 + 59*f**2 - 5. Let x(n) = n**4 - 3*n**3 + 2*n**2 - 1. Let b(g) = -v(g) + x(g). Find the third derivative of b(m) wrt m.
-14736*m
Let g(f) be the third derivative of -1/24*f**6 + 59*f**2 + 0 + 0*f**4 - 1/20*f**5 - 19/2*f**3 + 0*f. Differentiate g(c) with respect to c.
-15*c**2 - 6*c
Find the third derivative of -10*j**3 - 47*j**4 - 127*j**2 - 3*j**5 + 132*j**4 + 24*j**4 wrt j.
-180*j**2 + 2616*j - 60
Suppose -x - 4*x + c = -23, c = 3*x - 15. Let j be ((-1)/2)/((-5)/170). Find the second derivative of f - x*f + j*f + 0*f**5 - 46*f**5 wrt f.
-920*f**3
Suppose -418*a = -891*a + 406*a + 2881. Let m(x) be the first derivative of 0*x**3 + 0*x**4 - 31/5*x**5 + 0*x**2 + a*x + 37. Differentiate m(s) wrt s.
-124*s**3
Let t(q) be the second derivative of 209*q + 0*q**3 - 79*q**2 - 63/4*q**4 + 0. What is the derivative of t(r) wrt r?
-378*r
Let x(v) be the second derivative of v**8/56 + v**7/42 - 69*v**5/20 - 173*v**4 - 3948*v. What is the third derivative of x(y) wrt y?
120*y**3 + 60*y**2 - 414
Suppose -a - 2*a - 4*d + 108 = 0, -3*a + 4*d = -108. What is the first derivative of -69 - 8*v**2 + 29*v**4 + a*v**4 - 68*v**4 wrt v?
-12*v**3 - 16*v
Let p(s) be the first derivative of -5451*s**2 - 6409*s + 3012. Differentiate p(x) with respect to x.
-10902
Let r(f) be the first derivative of 0*f**4 - 13/2*f**2 + 0*f + 29 + 0*f**3 + 64/5*f**5. Find the second derivative of r(u) wrt u.
768*u**2
Let v be -16 - (-4 - (-1 - 3)). Let h = 27 + v. What is the derivative of -12*i**2 + i**2 + h - 6*i**2 wrt i?
-34*i
What is the second derivative of 2 - 533*s**4 - 2083*s - 1272*s**4 + 2127*s wrt s?
-21660*s**2
What is the second derivative of 10*o + 9047 - 18040 + 9068 - 3290*o**4 wrt o?
-39480*o**2
Suppose 8*a = 137 + 231. Differentiate -5*u + 0 - 12*u + 5 + a with respect to u.
-17
Find the second derivative of -6*q - 236*q - 1007*q**2 - 1374*q**2 - 231*q**2 - 1223*q**2 + 9 wrt q.
-7670
Suppose 12*s - 16*s + 12 = 0. Let p(v) be the second derivative of 0*v**4 + 21/2*v**2 - 14*v + 0 - 19/20*v**5 + 0*v**s. Differentiate p(y) wrt y.
-57*y**2
Suppose 7*f - 11*f = 17*f - 84. Suppose 5*z = 2*j + 81, 5*j + 30 = 3*z - 2*z. What is the second derivative of z*s**5 + 175*s**4 - 175*s**f + 26*s wrt s?
300*s**3
Let a(c) be the third derivative of -6185*c**8/336 - 7*c**5/60 + c**4/24 + 308*c**3/3 + 8206*c**2 + 1. Find the third derivative of a(b) wrt b.
-371100*b**2
Suppose -4*b = 5*f - 34, 62*b - 10 = 60*b + f. Find the third derivative of 114*j**2 + 28 - 59 + 31 - 134*j**b wrt j.
-16080*j**3
Let o = -41194 - -41238. Let w(q) be the second derivative of -8/3*q**3 + o*q + 0 - 33/2*q**2. Find the first derivative of w(u) wrt u.
-16
Suppose -113*r = -109*r - 12. What is the second derivative of -12*x**r + 22*x**4 + 46*x + 3*x - 19*x**4 - 4*x wrt x?
36*x**2 - 72*x
Suppose 3 = -3*a, -6*p + 2*p + 5*a + 29 = 0. Suppose 2*u + 3*r = 27, 4*u - 2*r - p = 8. Find the third derivative of -23*y**6 - 36*y**6 - y**2 + 42*y**u wrt y.
-2040*y**3
Let u(d) be the third derivative of -124*d**7/21 + 971*d**5/20 + 6*d**2 - 167. What is the third derivative of u(m) wrt m?
-29760*m
Let m(a) be the first derivative of -8/3*a**6 - 5/4*a**4 + 0*a**2 + 0*a - 107 + 0*a**5 - 61/3*a**3. Find the third derivative of m(r) wrt r.
-960*r**2 - 30
Let b = -45 + 46. Suppose -2*y - 15 = -7*y - 5*z, -3*y + b = 5*z. Find the first derivative of 25*w + y*w - 11 - 9*w wrt w.
23
Find the second derivative of 1394*x**5 + 6*x**4 + 2*x**4 - 4353*x + 5*x**2 - 714*x - 1410*x**5 wrt x.
-320*x**3 + 96*x**2 + 10
Find the second derivative of -s + 1800*s**4 - 178 + 4*s - 2*s - 258*s**4 + 100*s**4 wrt s.
19704*s**2
Let b(q) be the third derivative of -715*q**4/24 - 571*q**3/6 + 9*q**2 - 14*q. Find the first derivative of b(c) wrt c.
-715
Suppose 0 = -2*t - 4, 9*u - 13*u + 12 = -2*t. What is the first derivative of 161 + 48*p**2 - 103*p**u + 30*p**2 + 51*p**2 wrt p?
52*p
Let p(u) be the third derivative of -1639*u**5/60 - 787*u**4/12 - u**2 - 273*u. What is the second derivative of p(t) wrt t?
-3278
Suppose -5*p - 2*l + 14 = 0, -5*p - 3*l = -p - 14. What is the third derivative of -109*a**2 + 55*a**p - 41*a + 9*a**4 - a**5 + 53*a**2 - 41*a**4 wrt a?
-60*a**2 - 768*a
Suppose 0 = -6*n + 3*n. Let u(h) = h**3 + 10*h**2 + 8*h - 7. Let g be u(-9). What is the first derivative of n + 4 + g + 7*x wrt x?
7
Let t(j) be the third derivative of j**7/210 + 199*j**5/15 + 263*j**3/3 + 4210*j**2. Differentiate t(h) with respect to h.
4*h**3 + 1592*h
Let l = -11 - -20. Suppose -4*g = -l*g + 60. Differentiate -g - 2*h**2 + 18 + 5*h**2 wrt h.
6*h
Let l(w) be the first derivative of 3475*w**6/3 - 2935*w**2 - 4836. Find the second derivative of l(k) wrt k.
139000*k**3
Let j be (40/(-15) - -3) + (-68)/(-12). What is the second derivative of -679*t - j + 681*t + 64*t**3 - 8 wrt t?
384*t
Find the second derivative of -11*k + 15*k - k - 85*k**4 - 4*k - 2*k**2 + 5 wrt k.
-1020*k**2 - 4
Find the second derivative of -186*k**5 + 30*k - 516*k**2 + 173*k**2 + 174*k**2 + 169*k**2 + 14 wrt k.
-3720*k**3
Let h(c) be the second derivative of c**6/12 - c**4/3 + 61*c**3/6 + c - 5. Let y(j) be the second derivative of h(j). What is the derivative of y(r) wrt r?
60*r
Let z = 16 - 10. Suppose -g + z*g - 3*h = 30, -2 = g + h. What is the second derivative of k - 16*k - g*k**3 - 2*k**3 wrt k?
-30*k
Find the second derivative of 642 - 125184758*o**3 - 3408*o**5 + 125184758*o**3 + o wrt o.
-68160*o**3
Let i(m) = -m**2 - 22*m - 105. Let x be i(-13). Let o(q) = -q**2 - q + 34. Let s be o(0). Find the second derivative of v - x*v - v**4 + s*v wrt v.
-12*v**2
Let x(r) be the third derivative of -127*r**9/56 - r**7/105 - r**5/20 + 185*r**4/24 + r**3/3 - 7*r**2 - 340*r. What is the third derivative of x(a) wrt a?
-137160*a**3 - 48*a
What is the third derivative of 10 - 2*d**2 + 42*d - 42 + 3573*d**3 + 32 + 371*d**3 wrt d?
23664
Let d be (24 + -26)*-2*3/4. Suppose q - 12 = -d*q. Differentiate 26*i**q - 4 - 7*i**3 + 22 with respect to i.
57*i**2
Let i(c) = 136*c - 15. Let u(h) = -136*h + 12. Suppose 178 = -8*x + 146. Let m(j) = x*u(j) - 5*i(j). Differentiate m(y) with respect to y.
-136
What is the derivative of -138*w**4 + 1284 - 28*w**4 + 441*w**3 - 221*w**3 - 220*w**3 wrt w?
-664*w**3
Let x(b) be the first de