24*g
Let j(y) = 20*y**2 - 28*y. Let w(z) = -140*z**2 + 195*z. Let u = -98 - -101. Let b(r) = u*w(r) + 20*j(r). What is the second derivative of b(v) wrt v?
-40
Suppose 4*h - 11 - 37 = 4*f, 0 = -5*h + 4*f + 64. What is the second derivative of s + 5*s**5 + 82*s**5 - 23*s - h*s**5 wrt s?
1420*s**3
Let b(g) = 8*g**3 - 2*g**2 + 2*g - 1. Let m be b(1). Suppose m*a - 24 - 53 = 0. Find the first derivative of 5*c - 9*c - 13*c + 1 - a wrt c.
-17
Let d(k) = -5*k + 8. Let f(w) = -w - 10. Let s be f(-9). Let z be d(s). Find the third derivative of 29*u**2 - z*u**3 - 4*u**6 + 13*u**3 - 24*u**6 wrt u.
-3360*u**3
Let g(r) = 47*r - 490. Let n(o) = -48*o + 482. Let p(s) = 5*g(s) + 4*n(s). Find the first derivative of p(j) wrt j.
43
Let v = 348 + -261. Find the third derivative of -v*t**5 + 4*t + 3*t**2 - 5*t**5 - 24*t**5 + 3*t wrt t.
-6960*t**2
Suppose -12 = -4*i + 8. Let a(r) = 20*r + 11 + 5*r - 9*r. Let b(c) = 15*c + 10. Let s(k) = i*a(k) - 6*b(k). What is the first derivative of s(z) wrt z?
-10
Let g(t) = 3*t**2 + 12*t. Let n be g(-4). Let d be (1 + -1 + n/1)/1. What is the first derivative of d - 11 - 5*u**4 + 1 wrt u?
-20*u**3
Let b(m) = 111*m - 79. Let q(v) = 140*v - 165 + 2 + 1 + 82*v. Let d(t) = 5*b(t) - 2*q(t). Find the first derivative of d(s) wrt s.
111
Find the second derivative of 1259*p**2 - 213*p + 350*p**2 + 513*p**2 - 48*p**2 + 2 wrt p.
4148
Let r = 216 - 625/3. Let z(n) be the first derivative of 0*n - r*n**3 - 3/2*n**4 + 0*n**2 - 9. Find the third derivative of z(g) wrt g.
-36
Let n(u) be the third derivative of -397*u**7/105 + 325*u**4/3 + 2698*u**2. Find the second derivative of n(w) wrt w.
-9528*w**2
Find the first derivative of -5207 + 3677 + 6014 - 5375*k wrt k.
-5375
What is the third derivative of -199*q**6 + 586*q**6 - 247*q**4 - q**2 + 425*q + 247*q**4 wrt q?
46440*q**3
Let u(a) = a**2 + 4*a + 110. Let c be u(-49). Differentiate 2191 - 114*s**3 - 128*s**3 - c with respect to s.
-726*s**2
Let a be -2 + 24/(-120) + (-26)/(-5). Differentiate -10 + 1474*m**3 - 105 - 1457*m**a wrt m.
51*m**2
Let s(c) = c**5 - c**4 + c**2. Let z(p) = -822*p**5 + 5*p**4 - 1172*p**2. Let j(q) = -5*s(q) - z(q). What is the third derivative of j(b) wrt b?
49020*b**2
Suppose -3*h - 5 = -2*f - 2*f, 2*f - 5 = -h. Suppose -f*a = 4*q - 60, -q + 85 + 42 = 4*a. Differentiate 32*c - a*c + 10*c**4 + 14 with respect to c.
40*c**3
Find the third derivative of -2080*o**3 + 2164*o**3 - 12334*o**3 + 317690*o**2 - 317695*o**2 - 88*o wrt o.
-73500
What is the third derivative of 933*l**3 + 163*l**2 + 122*l**3 + 8 + 194*l**3 - 18 + 7 wrt l?
7494
Suppose 0*m = 6*m - 348. Let z = m + -56. What is the second derivative of -16*q - 3*q + 2*q + 11*q**2 + z*q**2 wrt q?
26
Let y be -2 - -3*676/12. What is the first derivative of y*a - 63*a + 34 + 16*a wrt a?
120
Differentiate 4*t**2 - 10*t**4 - 3*t**4 + 19*t**3 - 6699 - 2*t**3 wrt t.
-52*t**3 + 51*t**2 + 8*t
Let i(r) be the third derivative of -13*r**7/210 + 5*r**6/12 + 797*r**4/12 + r**2 + 194*r. What is the second derivative of i(b) wrt b?
-156*b**2 + 300*b
Suppose 5*q = 3*t - 4*t + 21, -3*t + 19 = 4*q. Find the third derivative of -45*k**2 - 3*k**q - 15*k**2 - 48*k**3 + 41*k**3 wrt k.
-72*k - 42
Let l(v) be the first derivative of -310*v**7/7 + 3*v**5/5 - v**3/3 - 265*v - 762. What is the third derivative of l(c) wrt c?
-37200*c**3 + 72*c
Let q be (2/(-3))/((-24)/72). Find the third derivative of 144*s**4 - 33*s**4 - 828*s**q - 2*s + 816*s**2 wrt s.
2664*s
Let a(s) = -2520*s**2 + 472. Let g(v) = -838*v**2 + 157. Let t(b) = -6*a(b) + 17*g(b). Find the first derivative of t(m) wrt m.
1748*m
Let w(b) be the third derivative of b**5/12 - 415*b**4/24 - 1223*b**3 + 9779*b**2. Find the first derivative of w(c) wrt c.
10*c - 415
Suppose 4*t + 5*c + 1 + 1 = 0, -2*c = -5*t + 14. What is the third derivative of 13*b**3 - 92*b**2 + 2*b**5 + 119*b**3 + 12*b**2 + 0*b**t + 31*b**2 wrt b?
120*b**2 + 792
Suppose n - 30 = -2*n. Let q = 2 + 2. What is the derivative of 10*v**2 - q + 10 + n*v**2 + 8 wrt v?
40*v
What is the third derivative of 64 - 12*i**2 + 0*i**4 + 13*i**2 + 129*i**3 - i**4 - 3*i + 3*i wrt i?
-24*i + 774
Suppose -4*a + 2*d = -24, -4*a - 214*d = -210*d + 12. Let c(q) be the first derivative of 0*q**2 + 2/3*q**a - 3 - 6*q. Find the first derivative of c(x) wrt x.
4*x
Let q(k) = k**3 + 18*k**2 + k - 1. Let u(h) = h**3 + 266*h**2 + 2066*h - 5. Let b(x) = 5*q(x) - u(x). What is the second derivative of b(w) wrt w?
24*w - 352
Let c(f) be the first derivative of 188*f**7 + 623*f**3/3 - 2*f - 2691. What is the third derivative of c(x) wrt x?
157920*x**3
Let z be 18/24 + (-3 - (-13)/4). Let d be ((-2)/(z - 3))/(39/78). Differentiate -373*n**2 + 355*n**d + 3 - 30 wrt n.
-36*n
Let x(j) = -4*j**3 + 2*j**2 - j - 1. Let u(a) = -73*a**3 + 12*a**2 - 11*a - 1409. Let k(r) = -u(r) + 6*x(r). What is the first derivative of k(n) wrt n?
147*n**2 + 5
Find the third derivative of 217*m**2 + 51*m**2 - 487 + 78*m**5 + 488 wrt m.
4680*m**2
Find the third derivative of 240*l**6 + 870*l**6 + 677*l**6 + 2039*l**2 wrt l.
214440*l**3
Suppose -4*r - c = -787, 5*r + 45*c - 971 = 48*c. Find the second derivative of -r*d - 189*d - 85*d**2 + 529*d wrt d.
-170
Let x be 1 - 1 - (-76)/4. Suppose 7*i - 5 = 5*y + 2*i, -3*i = 5*y - x. Find the third derivative of 14*p**5 + 2*p**y + 12*p**5 - 10*p**2 + 10*p**2 wrt p.
1560*p**2
Let v = 144 + -138. Find the third derivative of n**6 - 36*n**v - 2*n**6 + 59*n**2 - 15*n**2 wrt n.
-4440*n**3
Suppose 3*x - 3*b = 96, b + 146 = 5*x + 3*b. Find the second derivative of -x - 33 - 62*z**3 + 63 - 21*z wrt z.
-372*z
Let u(b) = 5866*b**3 + 10*b**2 + 17*b + 47. Let w(s) = -11731*s**3 - 23*s**2 - 34*s - 92. Let r(k) = -7*u(k) - 3*w(k). Find the third derivative of r(n) wrt n.
-35214
Let v(m) be the first derivative of 12*m**5/5 + 23*m**4/2 + 1160*m**3/3 + 2*m - 3322. What is the third derivative of v(x) wrt x?
288*x + 276
Suppose 5*r + 10 = 4*u, 2*r + 0*r + 4*u = 24. What is the third derivative of 6564 - 6564 + 16*c**3 - 6*c**r - 3*c wrt c?
96
Find the third derivative of 1303868 + 393*m**5 - 5*m**2 - 1303846 + 669*m**5 wrt m.
63720*m**2
Let m be (-864)/84*14/(-8). Let x(c) be the third derivative of 11/20*c**5 + 5*c**3 - m*c**2 + 0*c**4 + 0*c + 0. Find the first derivative of x(h) wrt h.
66*h
Let j = 168 - 166. Differentiate 4*v - 2 - 87 - 5*v**2 - 64*v**2 - j*v + 3 with respect to v.
-138*v + 2
What is the second derivative of -3*h**2 + 25*h**3 + 16*h**2 - 3*h**2 + 4 - 13*h**2 - 20*h wrt h?
150*h - 6
Let j be 0 - (2/3 + (-6)/9). Let s be j/(-2 + 4) - -13. Find the second derivative of -325*q + 314*q + 43*q**4 - s*q**4 wrt q.
360*q**2
Find the third derivative of -10*r**6 + 64*r + 53 - 103*r**5 - 64*r - 9*r**2 - 40 + 2*r**2 wrt r.
-1200*r**3 - 6180*r**2
Let r(n) = 1324*n**4 + 2*n**3 + 2*n - 2820. Let w(o) = -2649*o**4 - 5*o**3 - 5*o + 5644. Let v(b) = 5*r(b) + 2*w(b). Differentiate v(p) with respect to p.
5288*p**3
Let r(t) be the second derivative of -41*t + 0 + 3/2*t**3 - 2/5*t**5 + 2*t**2 - 1/3*t**4. Find the second derivative of r(f) wrt f.
-48*f - 8
Find the third derivative of -303006*u + 303006*u + 50 - 3*u**2 - 415*u**3 wrt u.
-2490
What is the third derivative of -1333560 - 604*z**3 + 1333560 + 2629*z**2 wrt z?
-3624
Let n = 878 - 481. Differentiate -706 + 382 + 36*f**2 + n wrt f.
72*f
Let m(u) be the first derivative of 2591*u**2/2 + 200*u - 1632. What is the derivative of m(x) wrt x?
2591
Differentiate 91*q + 817 + q**3 + 2811 - 75*q + 1063*q**2 - 15*q wrt q.
3*q**2 + 2126*q + 1
Let g(u) = 7*u**3 - 3*u**2 + 4*u - 1. Let n be g(2). Find the third derivative of -12*z**3 + 60*z**2 + 101*z**3 + n*z**2 wrt z.
534
What is the second derivative of -2 + 21832*l - 7493*l + 2370*l**5 - 3*l**4 - 4241*l wrt l?
47400*l**3 - 36*l**2
Let v(f) = 4756*f**4 + 3*f**2 - 3*f - 2250. Let i(g) = -9509*g**4 - 7*g**2 + 7*g + 4499. Let p(a) = -3*i(a) - 7*v(a). Differentiate p(j) wrt j.
-19060*j**3
Let h(z) be the second derivative of 42*z**5/5 - z**4/12 - 727*z**3/6 + 52*z + 10. What is the second derivative of h(w) wrt w?
1008*w - 2
Suppose -3*k + 64 + 39 = 5*m, -2*m - 16 = -k. What is the third derivative of -6764*u**6 - 5*u**2 - u + 3*u**5 + 6765*u**6 + k*u**2 wrt u?
120*u**3 + 180*u**2
Let w(u) be the first derivative of -u**5/5 - 37*u**3 + 712