t q.
-9310*q
Let k = -147 - -237. Differentiate -209 - 2*a**3 + 14*a + k - 10*a wrt a.
-6*a**2 + 4
Let k(l) = 1507*l**4 + 78*l**3 - 162*l. Let p(w) = -13*w**3 - w. Let m(c) = -k(c) - 6*p(c). What is the second derivative of m(r) wrt r?
-18084*r**2
Let c(r) be the second derivative of -159*r**7/14 + 355*r**4/12 + 1570*r. Find the third derivative of c(w) wrt w.
-28620*w**2
Suppose w = -4*z + 329, 7*z = 6*z + 2*w + 89. What is the third derivative of z*a**2 - 32*a**4 + 147*a**4 - 248*a**2 wrt a?
2760*a
Let w(k) be the second derivative of 49*k**4/3 + 783*k**2/2 - 18*k - 4. Differentiate w(d) wrt d.
392*d
Let b(w) be the first derivative of w**4 + 7*w**3/3 + 283*w - 1050. Differentiate b(h) wrt h.
12*h**2 + 14*h
Let k(c) be the first derivative of -41*c**4/4 + 20*c**2 - 2138*c - 2956. What is the first derivative of k(a) wrt a?
-123*a**2 + 40
What is the second derivative of -3241*d**2 - 3982 + d + 7931 - 3854 wrt d?
-6482
Suppose -4*y + 10 = y. Suppose 162 = 5*t + t. What is the second derivative of 57*d**y + 52*d**2 + 25*d**5 - t*d - 109*d**2 wrt d?
500*d**3
Let p(n) be the first derivative of 12*n**3 - 14*n**2 - 56 + n**3 + 178. Find the second derivative of p(r) wrt r.
78
Let d(n) = 11*n**2 + 74. Let p(y) = -y. Let q(m) = 6*m. Let b(r) = -5*p(r) - q(r). Let l(h) = 2*b(h) - d(h). Find the second derivative of l(v) wrt v.
-22
Find the first derivative of -2858*h**2 - 550 - 4601 + 2634*h**2 - 3936*h**2 - 3673*h**2 wrt h.
-15666*h
Suppose 60*p = 58*p + 574. What is the second derivative of 548*x + 84*x**2 - p*x + 1 - 339*x wrt x?
168
Let s(a) be the third derivative of 0 - 1/20*a**5 + 0*a**4 + 2*a**2 - 9/20*a**6 - 71*a + 1/6*a**3. What is the third derivative of s(k) wrt k?
-324
Let j(q) be the second derivative of -583*q**6/30 + 1491*q**2/2 + 6*q + 81. Differentiate j(p) with respect to p.
-2332*p**3
What is the second derivative of 9078*n + 46 + 3*n**5 - 547*n**3 - 46 + 698*n**3 + 4*n**2 wrt n?
60*n**3 + 906*n + 8
Let z(r) = 3650*r**5 + 1774*r**2 - 14*r + 7. Let s(p) = 3651*p**5 + 1775*p**2 - 12*p + 6. Let y(a) = 7*s(a) - 6*z(a). Find the third derivative of y(l) wrt l.
219420*l**2
Let c = -114 + 120. What is the third derivative of x**3 - c*x**2 - 6 + 0*x**3 - 1285*x**4 + 1271*x**4 wrt x?
-336*x + 6
Find the third derivative of 904*f**2 + 2861*f**2 + 111*f**5 + 22*f**6 + 25*f**2 - 73*f**5 wrt f.
2640*f**3 + 2280*f**2
Let m be (-152)/(-480)*4 + 24/60. Let r(h) be the first derivative of -10*h**2 + 1 + 0*h - m*h**3. Find the second derivative of r(n) wrt n.
-10
Let x(i) be the third derivative of 1297*i**6/120 - 217*i**5/60 - i**3/6 - 172*i**2. What is the third derivative of x(o) wrt o?
7782
Let b(s) be the second derivative of s + 1/6*s**4 - 4/15*s**6 + 0*s**3 + 0*s**5 + 135/2*s**2 + 95. What is the first derivative of b(x) wrt x?
-32*x**3 + 4*x
Let r = -16 - -19. Differentiate -111*j - 2*j**3 - j**r + j**3 + 14*j - 54 with respect to j.
-6*j**2 - 97
Let c(z) be the second derivative of -67/2*z**2 + 95/12*z**4 - 1/3*z**3 + 0 - 44*z. What is the second derivative of c(a) wrt a?
190
Let c(z) be the first derivative of 63 + 0*z**5 + 0*z**3 + 8/3*z**6 + 0*z**4 + 2*z**2 + 4*z. What is the second derivative of c(a) wrt a?
320*a**3
Let r(k) = 0 - 8 + 6*k - 2*k**3 - 56 + 10*k**2 + 0*k**3. Let t(z) = -4*z**3 + 18*z**2 + 11*z - 129. Let u(w) = 11*r(w) - 6*t(w). Differentiate u(b) wrt b.
6*b**2 + 4*b
Let y(z) be the second derivative of 923*z**5/10 - z**4/12 + 1211*z**3 + 975*z. What is the second derivative of y(s) wrt s?
11076*s - 2
Let i(u) = -4805*u**2 + 22170*u + 91. Let r(a) = -2403*a**2 + 11085*a + 52. Let q(y) = -4*i(y) + 7*r(y). Find the second derivative of q(b) wrt b.
4798
Differentiate 192 + 22*f + 0 - 2 - 998*f wrt f.
-976
What is the derivative of 7517 - 7142 - 1306*c**3 + c - 279*c**3 wrt c?
-4755*c**2 + 1
Suppose 11*j - 24 = 5*j. Suppose -4*c = 5 - 13. What is the third derivative of 8*p**6 - 4*p**2 - 13*p**6 + 2*p**c + j*p**2 wrt p?
-600*p**3
Let i(w) be the second derivative of 2409*w**6/5 + 15461*w**2/2 + 4*w + 1073. Find the first derivative of i(o) wrt o.
57816*o**3
Suppose -36 = -10*b - 16. What is the second derivative of b - 143*w**4 + 0 + 1 + 49*w**4 + 2*w - 6 wrt w?
-1128*w**2
Suppose -2*s - 4*h + 0 - 8 = 0, -h + 1 = 2*s. What is the second derivative of -69*w**3 + 209*w**2 + 202*w**s - 411*w**2 - 19*w wrt w?
-414*w
Let h(t) be the third derivative of 0*t + 143/210*t**7 + 0*t**6 + 0 + 0*t**5 + 0*t**4 - 21*t**3 - 51*t**2. What is the derivative of h(l) wrt l?
572*l**3
Let y = 357 - 192. What is the second derivative of -168 + 336 - 5*z + 4*z**3 - y - 23*z**4 wrt z?
-276*z**2 + 24*z
Find the third derivative of 4170 - 2257 + 2374*g**4 - 2*g**2 - 3414 wrt g.
56976*g
Suppose 0 = -6*l - 100 + 640. Differentiate 3 - 58*y + l + 8*y - 2 with respect to y.
-50
Let u(t) = t**2 - 5*t + 9. Let w be u(2). Suppose 0 = w*h - 337 - 572. What is the third derivative of -315*i**2 + 3*i - 3*i - 6*i**6 + h*i**2 wrt i?
-720*i**3
Let h(a) = -a**2 - 18*a + 91. Let s be h(-22). Let x = 9 - 5. Differentiate -i - s*i + x*i - i**3 + 15 wrt i.
-3*i**2
Let n = 1414 - 1409. Suppose -4*q = -2*q - 4*s - 32, -13 = -q - s. What is the third derivative of 8*l**5 + 23*l**5 + 42*l**2 + 18*l**5 - q*l**n wrt l?
2100*l**2
Suppose 2*c + 2*c = 20. Suppose 0 = -c*m - 3 + 33. What is the third derivative of -17*t**2 + 25*t**4 - 2*t**m + t**6 - 25*t**4 wrt t?
-120*t**3
Let w(o) = -11*o**4 - 603*o**2 - 26*o + 5203. Let r(y) = 5*y**4 + 302*y**2 + 12*y - 2602. Let b(h) = 13*r(h) + 6*w(h). Differentiate b(d) wrt d.
-4*d**3 + 616*d
Let b(j) be the first derivative of 5223*j**5/5 - 7730*j + 3906. Differentiate b(x) wrt x.
20892*x**3
Let h(r) be the third derivative of -97*r**7/3 + r**5/60 + 17*r**4/24 + 7*r**3 + 7673*r**2. What is the third derivative of h(g) wrt g?
-162960*g
Suppose 0 = -5*w + 2*j + 34, 4*w = -j + 5*j + 32. Find the second derivative of p**5 + 1036*p + 0*p**3 + w*p**3 - 1077*p wrt p.
20*p**3 + 36*p
Let c(z) be the second derivative of -3146*z**3/3 + 1643*z**2/2 + 1350*z. What is the derivative of c(w) wrt w?
-6292
Suppose -34340 = -6*a + a. Find the second derivative of -195*p**3 + 6868 + 78*p - a wrt p.
-1170*p
Let s = -1335 - -1337. Let c(r) be the second derivative of 1/4*r**4 + 0*r**3 - 3*r + 0*r**s + 2/5*r**5 + 0. Find the third derivative of c(p) wrt p.
48
What is the first derivative of 80679*k + 1397*k**4 + 3080 - 80679*k wrt k?
5588*k**3
Let x(n) = -532*n**3 + 288*n**2 - 30*n. Let p(b) = -b**3 - b**2 + 10*b - 1. Let a(c) = 3*p(c) + x(c). What is the third derivative of a(h) wrt h?
-3210
Let k(c) be the first derivative of -1048*c**3 + 2008*c + 974. What is the first derivative of k(b) wrt b?
-6288*b
Let u(x) be the second derivative of 0*x**3 - 72*x - 43/4*x**4 - 1 + 43/2*x**2. What is the derivative of u(a) wrt a?
-258*a
Suppose 12 = 141*z - 6 + 18. Let s(u) be the second derivative of -11/2*u**2 + 26*u - 1/2*u**3 + z. Find the first derivative of s(d) wrt d.
-3
Let z(q) = 3*q**3 - 591*q**2 + 10*q - 911. Let u(o) = -o**2 + 2*o - 1. Let b(r) = -5*u(r) + z(r). What is the first derivative of b(f) wrt f?
9*f**2 - 1172*f
Let a(q) = 4489*q**2 + 6497*q + 24. Let g(u) = -1498*u**2 - 2166*u - 9. Let w(b) = -3*a(b) - 8*g(b). What is the second derivative of w(f) wrt f?
-2966
Let t(f) be the second derivative of 3359*f**6/30 - 5*f**3/2 - 151*f**2 - 14256*f. What is the second derivative of t(c) wrt c?
40308*c**2
Let a = -809 + 889. Suppose 0 = 5*y - 25 - 30. Differentiate -29*l**2 + a*l**2 - y*l**2 + 1 - 4*l**2 with respect to l.
72*l
Let n be (-1 + 1)/((92/391)/(4/34)). Let q(g) be the second derivative of 1/5*g**5 + 0 - 12*g + 2*g**2 + n*g**3 + 0*g**4. Differentiate q(t) wrt t.
12*t**2
Let f(p) be the third derivative of p**6/90 - 17*p**5/20 + 31*p**4/4 + p**2 + 98*p. Let x(c) be the second derivative of f(c). Differentiate x(j) wrt j.
8
Let a = -6040 + 6065. Let x(v) be the first derivative of -2*v**3 - 19/2*v**2 + 0*v - a. Find the second derivative of x(k) wrt k.
-12
What is the derivative of -23 - 96*m - 29 - 5 + 416*m - 29 wrt m?
320
Let k = 56 - 54. Suppose 0 = 4*r + r + 20, k*r + 44 = 2*f. What is the third derivative of p - p + f*p**2 + 0*p + 8*p**4 wrt p?
192*p
Let t be -2 - (251780/(-14) + 4/14). Differentiate 18037*b**3 + 2 + 17 - t*b**3 with 