2
Let m(p) = 42*p**4 + 2*p**3 + p - 1. Let b(i) = 98*i**4 + 23*i**3 - 2*i**2 + 15. Let y(r) = b(r) - 3*m(r). Find the third derivative of y(t) wrt t.
-672*t + 102
Let q(b) be the third derivative of -668*b**6/15 + b**5/30 - 3713*b**3/3 - 12105*b**2. Differentiate q(k) with respect to k.
-16032*k**2 + 4*k
Let d be ((-2396)/(-20) - 1) + 5/25. What is the derivative of -3089*t - 104 + 3089*t + d*t**4 wrt t?
476*t**3
Let g(z) = -16218*z - 7607. Let t(k) = -2027*k - 958. Let m(u) = -6*g(u) + 51*t(u). What is the first derivative of m(v) wrt v?
-6069
Let n(x) be the third derivative of 13*x - x**2 + 0 - 8/3*x**3 - 1/30*x**5 + 0*x**4 + 23/120*x**6. Find the third derivative of n(g) wrt g.
138
Suppose 6 = 54*o + 2 + 4. Let p(b) be the third derivative of 0*b**4 + 0*b + 16/3*b**3 - 15*b**2 - 3/10*b**5 + o. Find the first derivative of p(t) wrt t.
-36*t
Let m(u) = -21*u**3 - 86*u**2 - 132. Let o(a) = -4*a**3 - a**2 + 2. Let v(z) = -m(z) + 5*o(z). Find the first derivative of v(s) wrt s.
3*s**2 + 162*s
Let x(h) = h**3 + 8*h**2 + 7*h + 3. Suppose 0 = -4*m + 60 - 88. Let o be x(m). What is the first derivative of 1145*y**2 + 16 - 1127*y**2 + o wrt y?
36*y
Suppose -z - j = -3*j - 309, 0 = -2*z + 2*j + 608. What is the second derivative of -489*v**2 + 378*v**2 - z*v + 57*v wrt v?
-222
Let a = -538 + 560. Let y(g) = -g**2 - 4*g - 2. Let s be y(-2). Differentiate a + 27*v + s*v + 6 with respect to v.
29
Differentiate 1646 + 2019*h**4 + 2120 + 7463*h**4 - 1072*h**4 wrt h.
33640*h**3
Differentiate 513 - 824 - 1594 + 1014*u + 4*u wrt u.
1018
Suppose 3*u - 3*b - 9 = 0, u + u - 4*b = -4. What is the derivative of -u*o - 31*o + 29 + 25*o - 40*o wrt o?
-54
Let r(k) be the second derivative of 0*k**2 + 131/6*k**4 + 130/3*k**3 + 0 - 268*k. Find the second derivative of r(h) wrt h.
524
Let s(w) = -8 - 6 - 6 - 11*w. Let l be s(-2). Find the third derivative of -8*p**l + 15*p**6 - 3*p**3 - 9*p**2 + 3*p**3 wrt p.
1800*p**3
Suppose 2*x + 0*x - 24 = 0. Let l be (-2)/(2/x*-3). Find the third derivative of 17*y**4 - 5*y**4 + 3*y**4 - 2*y**l + 4*y**2 wrt y.
312*y
Let m(z) be the first derivative of 4/3*z**3 - 8*z**2 - 218*z - 197. Differentiate m(c) with respect to c.
8*c - 16
Let c(y) be the second derivative of y**6/2 + 13*y**5/20 - 94*y**4 - 1040*y. What is the third derivative of c(o) wrt o?
360*o + 78
Let f(b) = 6*b**5 - 2092*b**3 + 280*b - 21. Let l(h) = -7*h**5 + 2095*h**3 - 280*h + 23. Let j(v) = -6*f(v) - 5*l(v). Find the second derivative of j(g) wrt g.
-20*g**3 + 12462*g
Let p(n) be the second derivative of 0*n**2 - 197/6*n**3 + 0 + 46*n + 1/30*n**6 + 0*n**5 - 37/12*n**4. What is the second derivative of p(j) wrt j?
12*j**2 - 74
Find the first derivative of -6554*t**2 + 474*t - 1428*t - 4469 + 475*t + 479*t wrt t.
-13108*t
Let r(n) = -9126*n - 15951. Let l(c) = 1825*c + 3183. Let i(g) = 14*l(g) + 3*r(g). What is the first derivative of i(f) wrt f?
-1828
Suppose 6090 - 630 = 10*n. Differentiate -n + 613 - q**3 + 65*q**4 + 0*q**3 with respect to q.
260*q**3 - 3*q**2
Let g(z) be the first derivative of 1103*z**6/3 + 86*z**2 - 6*z + 1002. What is the second derivative of g(t) wrt t?
44120*t**3
Suppose 2*z - 3*j + 5*j - 136 = 0, 2*j = 3*z - 179. Let a be 108/14 + (-3)/(z/(-6)). Differentiate -13*y + 8 + 8*y**3 + a*y + 5*y wrt y.
24*y**2
Let d(v) = -v**2 - 7*v - 2. Let y be d(-3). Suppose j + 2*z - 2 = -9, 0 = -2*j + 2*z + y. Find the first derivative of -3*h - j + 0*h - 6 + 4*h wrt h.
1
Differentiate 34*h - 25*h + 108*h + 724 + 403*h + 37*h wrt h.
557
Let r be (42 - (-2 - -2)) + 0. Let d = -14 + r. What is the second derivative of -d*l + 3*l**2 - 12*l**3 - 3*l**2 + 40*l wrt l?
-72*l
Let u(a) be the first derivative of 341*a**4 + 60*a**3 + a**2/2 + 1827. Find the third derivative of u(z) wrt z.
8184
Let i(d) be the first derivative of 921*d**5 + 2665*d**2/2 - 5706. Find the second derivative of i(a) wrt a.
55260*a**2
Suppose 0 = 2*c - 6*c + 5*q + 35594, 5*c = -3*q + 44474. What is the third derivative of c*b + 106*b**3 - 8*b**2 - 8896*b wrt b?
636
Let i(c) = 3584*c**4 - 14*c**2 + 157*c + 14. Let r(z) = 1793*z**4 - 6*z**2 + 78*z + 6. Let t(v) = 3*i(v) - 7*r(v). What is the second derivative of t(y) wrt y?
-21588*y**2
Suppose 5*j + 7*z - 2*z + 15 = 0, -4*z = 5*j + 10. Find the third derivative of 5*k**2 - 28*k**j - 46*k**5 + 17 - 30 - k**3 + 14 wrt k.
-2760*k**2 - 6
Let j(b) be the first derivative of 2*b**5/5 - b**4/2 + 2830*b**3/3 - 125*b**2/2 + 17*b - 6542. What is the second derivative of j(q) wrt q?
24*q**2 - 12*q + 5660
Find the third derivative of 5*l**6 + 68*l**4 + 3*l**3 - 70*l**4 + 135*l**6 + 186*l**6 - 4045*l**2 wrt l.
39120*l**3 - 48*l + 18
Let d(n) be the second derivative of 127*n**4/4 - 3*n**3/2 - 49*n**2/2 - 849*n. What is the second derivative of d(f) wrt f?
762
Let w(k) be the third derivative of 0*k**3 + 0*k + 3/4*k**5 + 0*k**4 - 1/24*k**6 - 2 - 21*k**2 + 4/105*k**7. Find the third derivative of w(v) wrt v.
192*v - 30
Let v(s) be the third derivative of -827*s**6/20 - 77*s**5/15 - 28*s**2 + 3*s. What is the third derivative of v(u) wrt u?
-29772
Let b(f) = -2*f + 35. Let x be (-210)/(-13) - (-24)/(-156). Let y be b(x). What is the first derivative of 14*k**4 + 16*k**3 - 4 - 16*k**y - 3 wrt k?
56*k**3
Let j(o) be the first derivative of 1000*o**4 - 3471*o**3 - 3153. Find the third derivative of j(k) wrt k.
24000
Let s(b) = 3*b**2 + 2*b. Let d(g) = -1453*g**2 - 1531*g. Let f(x) = 2*d(x) + 18*s(x). Find the second derivative of f(n) wrt n.
-5704
Let j(l) be the second derivative of 1991*l**4/12 + l**3/3 + 5*l**2 + 948*l. What is the second derivative of j(m) wrt m?
3982
Let n(h) = 2*h**2 + 28*h + 2. Let x be n(-14). What is the second derivative of -56*a**2 + 280 - 3*a**2 - a + 106*a**x + 123*a**2 - a**3 - 273 wrt a?
-6*a + 340
What is the second derivative of -7*d**4 + 86*d**3 - 15*d + 58 + 219*d**3 + 25*d + 148*d**3 wrt d?
-84*d**2 + 2718*d
Find the third derivative of 88*o**2 + 85*o**4 + 508*o**4 + 140*o**4 + 237*o**4 wrt o.
23280*o
Let c be ((-378)/(-15))/((-126)/(-20) + -6). Find the third derivative of -14*y**2 + 17*y**3 + c*y**2 + 26*y**3 - 11*y**3 wrt y.
192
Let a(i) be the first derivative of -1649*i**6/3 + 8*i**3/3 - 3*i**2/2 - 4. What is the third derivative of a(x) wrt x?
-197880*x**2
Let q be (-766)/6 + ((-4)/3)/1. Let f = -96 - q. Differentiate f*b**3 - 17 - 2 - 4 with respect to b.
99*b**2
Let k(l) be the first derivative of -2876*l**3/3 + 352*l**2 - l - 3306. Find the second derivative of k(u) wrt u.
-5752
Find the first derivative of 882*f**2 + 1050*f**2 - 9156 + 571*f**2 + 6105 wrt f.
5006*f
Let s(m) = 2*m**2 + 3*m. Let g(l) = -438*l**2 + 21*l + 1246. Let v(h) = -g(h) + 7*s(h). Differentiate v(r) with respect to r.
904*r
Suppose 5*i = -3*s + 1801, 23*i + 1079 = 26*i + s. What is the third derivative of -1 - 5*m**2 + 1 - i*m**3 + 241*m**3 wrt m?
-708
Differentiate 45681*y**4 - y**2 - 48736*y**4 + y**2 + 3407 wrt y.
-12220*y**3
Let x(r) be the third derivative of 9*r**7/560 + 7*r**6/180 + 47*r**5/30 - 2*r**2 + 41*r. Let q(o) be the third derivative of x(o). Differentiate q(d) wrt d.
81
Find the second derivative of -61 - 677*j - 73 + 4178*j**5 - 43 + 179 wrt j.
83560*j**3
Let i = 14 - 12. Let f(j) = -16*j**3 - 2*j - 45. Let t(y) = 15*y**3 + y**2 + 3*y + 43. Let a(d) = i*t(d) + 3*f(d). Find the first derivative of a(o) wrt o.
-54*o**2 + 4*o
Let o(p) be the third derivative of 377*p**5/20 - 823*p**4/24 + p**2 - 180. Find the second derivative of o(b) wrt b.
2262
Let v(g) = -87*g**4 + 6*g**3 + 2*g**2 - 7569*g + 3. Let q(h) = -h**4 + 7*h**3 + 2*h + 1. Let t(a) = -3*q(a) + v(a). Find the second derivative of t(b) wrt b.
-1008*b**2 - 90*b + 4
Let n(g) = -24769*g + 10900. Let b(d) = 8254*d - 3629. Let r(x) = 7*b(x) + 2*n(x). What is the first derivative of r(a) wrt a?
8240
Let h(j) be the first derivative of 415 - 24*j + 74*j**2 - 3*j - 465. What is the derivative of h(v) wrt v?
148
Let f(y) be the first derivative of 92*y + 36 - 2/3*y**3 - 15*y**2. Differentiate f(p) with respect to p.
-4*p - 30
Let y(l) = 137*l**2 + 22. Let f(t) = -t**3 + 19*t**2 + 39*t + 68. Let v be f(21). Let h(d) = 1. Let b(n) = v*h(n) - y(n). Differentiate b(c) with respect to c.
-274*c
Let a(i) be the first derivative of 19*i**3/3 - 41*i**2/2 + 42*i - 66. Let j(c) be the