100 wrt t.
12*t**2
Suppose -32 = r - 34. Suppose r*h - 3*f = f - 8, -5*h + 2*f = -4. What is the third derivative of -4*o**2 - 15*o**5 - 11*o**h + 3*o**5 + 0*o**5 wrt o?
-720*o**2
Let b(h) be the third derivative of 0 + 0*h - 239/60*h**5 + 0*h**3 + 0*h**4 + 32/15*h**6 + 63*h**2. What is the third derivative of b(n) wrt n?
1536
Let i(h) be the first derivative of 1733*h**4/4 + 1535*h**3/3 - 1623. Find the third derivative of i(z) wrt z.
10398
Let c(z) be the third derivative of 81*z**6/10 - 745*z**3/6 - 144*z**2 + 5. Differentiate c(i) with respect to i.
2916*i**2
What is the second derivative of -2*x**2 + 67*x**5 + 153*x**4 + 163*x**4 + 3146*x - 316*x**4 wrt x?
1340*x**3 - 4
Let z = -58 + 68. Suppose 0 = 5*g - z. Find the first derivative of -12 + 4*f**2 - 12*f**2 + 1 - 11*f**g wrt f.
-38*f
What is the third derivative of -2438*l**4 + 29*l**6 + 2429*l**4 + 2*l**2 - 726 - 1495 - 3*l**6 wrt l?
3120*l**3 - 216*l
Let v(l) be the first derivative of 4*l**6/5 - 21*l**2 - 63*l - 43. Let z(x) be the first derivative of v(x). Differentiate z(h) with respect to h.
96*h**3
Let m(h) = 6*h**3 + 368*h**2 - 678*h - 26. Let x(l) = -2*l**3 - 123*l**2 + 226*l + 9. Let y(k) = -6*m(k) - 17*x(k). What is the second derivative of y(a) wrt a?
-12*a - 234
Let u(w) = w**4 - 3*w. Let i(q) = 3032*q**5 + 7*q**4 + 22*q - 15. Let y(t) = i(t) - 7*u(t). What is the second derivative of y(k) wrt k?
60640*k**3
Let b(p) be the third derivative of 0*p**6 + 25*p**2 + 0*p**3 + 0*p - 4/3*p**4 + 1/20*p**5 + 0 + 13/210*p**7. Find the second derivative of b(i) wrt i.
156*i**2 + 6
What is the first derivative of -114*x**2 + 1149 - 5716*x + 5716*x wrt x?
-228*x
Let y(n) = -n**3 - 5*n**2 - 7*n - 8. Let w be y(-2). Let l(g) = 4*g + 45. Let z be l(w). What is the derivative of -31*h**4 + 13*h**4 + 36 + z*h**4 wrt h?
12*h**3
Let p(k) be the second derivative of 0*k**4 + 0*k**5 + 9/2*k**2 + 1/2*k**3 + 76 + 1/10*k**6 - 2*k. Differentiate p(m) with respect to m.
12*m**3 + 3
Suppose 666 = 20*v + 246. Find the second derivative of -23 + 76*j + v - 128*j**2 + 2 wrt j.
-256
Let t(c) = 117*c**2 - 52*c + 8. Let s be t(-9). Find the second derivative of -39*f - 9953 - 4*f**2 + s wrt f.
-8
Suppose 70*z - 75*z = -2395. What is the second derivative of -95*h - 479*h**3 + 1 + 7*h**2 - 16*h**4 - 1 + z*h**3 wrt h?
-192*h**2 + 14
Let y(x) be the first derivative of 947*x**7 + 3*x**3 - 115*x + 3022. Find the third derivative of y(l) wrt l.
795480*l**3
Let c(s) = s**3 - 7*s**2 - 21*s - 9. Let p be c(9). Let d = -32 - p. Differentiate 3*x**d - 120 + 19*x**4 + 40 + 47 wrt x.
88*x**3
Let d(i) be the first derivative of -597*i**3 - i**2 + 8339*i + 3310. Find the first derivative of d(n) wrt n.
-3582*n - 2
Let j(z) be the first derivative of 1195*z**4/4 + 586*z - 449. Differentiate j(h) with respect to h.
3585*h**2
What is the second derivative of -70*o**3 + 6473*o - 82*o**5 + o**2 - 44*o**5 + 58*o**3 + 8*o**3 wrt o?
-2520*o**3 - 24*o + 2
Let c(b) be the second derivative of -883*b**8/56 - b**7/42 - b**4/4 - 35*b**2/2 + 28*b + 23. Find the third derivative of c(h) wrt h.
-105960*h**3 - 60*h**2
Let a(j) be the second derivative of 3699*j**8/28 - 622*j**4/3 - 72*j + 5. What is the third derivative of a(o) wrt o?
887760*o**3
What is the first derivative of 4655*s - 929 + 8332 + 3481*s - 1825*s + 516*s wrt s?
6827
Let h(n) = 53*n**3 + 5*n**2 - 131. Let b(l) = -5 - 126 + 78*l**3 - 24*l**3 + 6*l**2. Let a(r) = -5*b(r) + 6*h(r). What is the derivative of a(w) wrt w?
144*w**2
Suppose 103*f - 108*f + 25 = 0. What is the second derivative of -2*q**4 - 52*q - 6*q**f + 158*q - 26*q wrt q?
-120*q**3 - 24*q**2
Let w(r) be the first derivative of 53 - 1/2*r**2 - 2/7*r**7 + 16*r**4 + 0*r**6 + 0*r**5 + 0*r - 2/3*r**3. Find the third derivative of w(c) wrt c.
-240*c**3 + 384
Suppose -31*t = 14*t - 90. Find the third derivative of -776*o**2 - 33*o**3 - 57*o**3 + 3*o**3 + 932*o**t wrt o.
-522
What is the third derivative of 2031*o + 1562*o**4 + 17 + o**3 - 2038*o - 29 + 109*o**2 + 12 wrt o?
37488*o + 6
What is the first derivative of -551 + 3*j**2 - j + 178*j**3 - 244 + 290 + 1815 wrt j?
534*j**2 + 6*j - 1
Let u(k) = 2489*k**3 + 357*k - 98*k - 2484*k**3 - 102*k**4. Let m(y) = -y**4 - y**3 - 3*y. Let d(l) = -5*m(l) - u(l). Find the second derivative of d(p) wrt p.
1284*p**2
Let v(k) be the third derivative of 11*k**6/40 - 11*k**5/60 + 212*k**3/3 + 354*k**2 + 1. What is the derivative of v(s) wrt s?
99*s**2 - 22*s
Let n(k) be the first derivative of -289*k - 35/2*k**2 - 167. What is the derivative of n(j) wrt j?
-35
Let d(t) = -2*t + 1. Let c(u) = 10 + 25*u + 21 + 28*u + 29. Let i(g) = c(g) - 3*d(g). Find the first derivative of i(l) wrt l.
59
What is the first derivative of -21*m - 58*m - 44 + 119*m - 13*m**2 wrt m?
-26*m + 40
Let p(a) = 76*a**3 - 25*a**2 + 30*a + 3. Let h(f) = -79*f**3 + 29*f**2 - 30*f - 4. Let y(t) = 3*h(t) + 4*p(t). Find the third derivative of y(v) wrt v.
402
Suppose -a + 5*t = -0*a - 41, -133 = -5*a + t. Let q be (9/(-45) + a/30)*3. Find the second derivative of 3*k - 18*k**3 - 47*k**2 + 8*k + 47*k**q wrt k.
-108*k
Suppose 3*y = -4*r - 10, 2*y + 8 = 3*r + 24. What is the third derivative of 6*d + 109*d**y - 108*d**5 + 126*d**2 - 221*d**2 wrt d?
-6480*d**2
What is the third derivative of -s**2 - 4*s**3 + 373385 + 318*s**5 - 371753 + 5*s**3 wrt s?
19080*s**2 + 6
Let f be (2 + 11/(-7))*434/62. What is the second derivative of 47*m**4 + 303 - 3*m**f - 303 - 86*m wrt m?
564*m**2 - 18*m
Let n be (8/(-10))/(16/(-520)). Suppose 4*z - n = 2. Find the second derivative of -10*k**2 + 18*k + 15*k**2 + 7 - z wrt k.
10
Let x(r) be the second derivative of -193*r + 0 - 76/3*r**3 + 11/12*r**4 + 0*r**2 - 1/10*r**5. What is the second derivative of x(f) wrt f?
-12*f + 22
Let g(x) be the second derivative of -65*x - 58*x**2 - 2/15*x**6 + 1 + 1/5*x**5 + 0*x**3 + 0*x**4. What is the first derivative of g(p) wrt p?
-16*p**3 + 12*p**2
Suppose 0 = 3*t - 8*t + 1000. Suppose v + 1 = 0, 2*q - 4*v - t = 22. Differentiate 2*k**4 + 64 + 59 - q wrt k.
8*k**3
Let v(h) = 3*h**4 - 19*h**3 + 13*h - 1283. Let s(g) = -7*g**4 + 38*g**3 - 31*g + 2568. Let l(w) = -4*s(w) - 9*v(w). Differentiate l(c) with respect to c.
4*c**3 + 57*c**2 + 7
Suppose -f - 21 = -2*n, 4*n + n + 2*f - 39 = 0. Suppose 5*o + 8 - 23 = q, 0 = -q - 3*o + n. What is the derivative of -10 + q - 13*a**2 + 1 - 2 wrt a?
-26*a
Find the second derivative of 41*i**2 - 13 + 27*i - 37*i**2 - 3*i**3 - 5*i + 94*i**2 + i wrt i.
-18*i + 196
Let r(f) be the second derivative of -7*f - 53/20*f**5 + 0*f**2 + 4 - 299/12*f**4 + 0*f**3. Find the third derivative of r(x) wrt x.
-318
Let m(q) = -3028*q**2 - 6*q + 305. Let k(i) = i**2 + 7. Let p(x) = -6*k(x) + m(x). Find the second derivative of p(w) wrt w.
-6068
Let p(v) = -7. Let y(z) = -281*z - 105. Suppose -12 = 3*u - 9. Let h(t) = u*p(t) - y(t). What is the derivative of h(a) wrt a?
281
Find the first derivative of -1517*x**2 - 157*x**3 - x + 7313 - 206*x**3 + 1516*x**2 - 290*x**3 - 453*x**3 wrt x.
-3318*x**2 - 2*x - 1
Let z(k) = -4746*k**4 - 1042*k**2 + 10*k + 5. Let j(n) = -7118*n**4 - 1564*n**2 + 16*n + 8. Let l(u) = 5*j(u) - 8*z(u). Find the third derivative of l(a) wrt a.
57072*a
Let w(i) be the first derivative of -376*i**3/3 - 5*i**2 - 19*i - 574. Find the second derivative of w(s) wrt s.
-752
Let c(x) = x**2 + 14*x + 25. Let y(w) = w - 1. Let l(g) = c(g) - 3*y(g). Let a be l(-8). Find the first derivative of -4*h - h - 30 + a*h wrt h.
-1
What is the second derivative of 2545*c**5 - 12 + 3*c - 277*c**5 - 28*c + 12*c + 3*c wrt c?
45360*c**3
Let r(o) = -21*o**2 - 1078*o - 2643. Let b(s) = 4*s**2 - s - 1. Let g(t) = -5*b(t) - r(t). Differentiate g(j) with respect to j.
2*j + 1083
Let g(j) be the second derivative of 1627*j**4/12 - 535*j**3/3 - 255*j - 5. Find the second derivative of g(d) wrt d.
3254
Let x = 114 + -98. Find the third derivative of -1 - s**3 + 18*s**5 - 30*s**5 + 10*s**5 + x*s**2 wrt s.
-120*s**2 - 6
Let v(h) be the third derivative of -h**8/168 + 82*h**6/15 + 1879*h**5/30 - 185*h**2 - 6. What is the third derivative of v(a) wrt a?
-120*a**2 + 3936
Suppose -2*w + 2252 = 5*j - 4*w, -3*w = 3. Suppose 0*f + j = 2*f. Find the third derivative of 2 - f*k**2 + 23*k**6 - 2 + 242*k**2 wrt k.
2760*k**3
Let c(b) = -b**2 - 13*b - 36. 