- -8252. Let d(r) be the third derivative of 0*r**3 + 26*r**2 - 3/2*r**4 + 0*r + 0 - t*r**5. What is the second derivative of d(v) wrt v?
-52
Suppose j = -3*s + 95 + 85, 0 = -s + j + 56. Differentiate -49*k + 15 + s + 133*k + 12 wrt k.
84
Let u(p) = -633*p**3 - 4*p**2 - 7*p - 1646. Let f(d) = 634*d**3 + 3*d**2 + 6*d + 1636. Let b(g) = -4*f(g) - 3*u(g). Find the first derivative of b(l) wrt l.
-1911*l**2 - 3
Let r be 85 + (-4)/(-4) - (-8 + 7). Find the third derivative of -16*p**3 + 5 + 21*p**6 - p**2 - r*p**6 + 16*p**3 wrt p.
-7920*p**3
Let c = 27 + -22. What is the second derivative of -7 + 23*r**4 - 23*r**4 - 4*r - 11*r**3 - 4*r**c - 10*r**3 - 31 wrt r?
-80*r**3 - 126*r
Let x(q) = 2491*q**4 - 1792*q**2 - 7*q - 5. Let l(b) = -2492*b**4 + 1793*b**2 + 6*b + 4. Let z(c) = 5*l(c) + 4*x(c). What is the third derivative of z(j) wrt j?
-59904*j
What is the second derivative of 204*u**2 - 104*u**2 - 2594*u**4 - 15*u - 100*u**2 - 46 wrt u?
-31128*u**2
Suppose -81 = 2*h - 3*c - 9, 3*h + c = -97. Let i = -28 - h. What is the second derivative of -1 + 1 - 27*t**5 + 23*t**i + 3*t wrt t?
-80*t**3
Find the third derivative of -3*r**2 - 161*r - 72*r**3 + 31*r**3 - 466*r**3 wrt r.
-3042
Let v(u) be the second derivative of 1595*u**8/56 + 98*u**4/3 - 1511*u. Find the third derivative of v(h) wrt h.
191400*h**3
Let x(l) be the first derivative of -137 - 1/2*l**2 + 0*l**4 - 63*l + 2*l**5 + 0*l**3. Differentiate x(t) wrt t.
40*t**3 - 1
Let n be 22/(-18) + 1 - (-94)/18. Suppose 0 = -5*o - 2*q + 18, 0*q + 22 = o + n*q. What is the third derivative of -o*z**2 - 17*z**3 - 8*z + 8*z wrt z?
-102
Let d = -161 + 155. Let r(i) = i**3 + i. Suppose -c + 5 = -6*c. Let x(q) = 9*q**3 - 6*q + 9. Let a(w) = c*x(w) + d*r(w). What is the derivative of a(o) wrt o?
-45*o**2
Let y(v) be the first derivative of v**4/4 - 2*v**3/3 - 187*v**2/2 - 2470*v + 7143. Differentiate y(s) with respect to s.
3*s**2 - 4*s - 187
What is the second derivative of -2*f**3 + 5907*f + f**3 + 9795092*f**5 - 9792968*f**5 wrt f?
42480*f**3 - 6*f
Let z = -89 - -92. Differentiate 1 - 10 + i**z - 16*i + 60 - 4*i**3 wrt i.
-9*i**2 - 16
Find the first derivative of -30553*t + 2*t**2 + 60758*t - 30505*t + 1069 wrt t.
4*t - 300
Let f(h) be the third derivative of h**7/210 + 7*h**6/40 + h**5/60 - 865*h**4/24 + h**3/6 + 8127*h**2. Find the third derivative of f(p) wrt p.
24*p + 126
Let a(w) be the second derivative of -w**5/10 + 713*w**4/12 + 1427*w**2/2 + 931*w. Differentiate a(u) with respect to u.
-6*u**2 + 1426*u
Let b(j) be the second derivative of -403*j**7/14 - 121*j**4/2 - 821*j + 1. What is the third derivative of b(r) wrt r?
-72540*r**2
Let h = 12 + -9. Let x(b) = -b**3 + 13*b**2 + b - 12. Let f be x(10). Differentiate -154*l**3 - 152*l**3 + f*l**h + 29 with respect to l.
-24*l**2
Let r(n) = n**3 + 5*n**2 - 2*n - 4. Let x be r(-5). Let z = 12 - x. What is the derivative of -6 - 3 - 5 + 11 - z*f**3 wrt f?
-18*f**2
Let i(b) be the third derivative of -205*b**8/336 - 2*b**7/105 + 107*b**5/10 - 991*b**2. What is the third derivative of i(l) wrt l?
-12300*l**2 - 96*l
Let k(v) = -v**2 + 673*v - 552. Let h(q) = 3*q**2 - 2019*q + 1649. Let p(z) = 4*h(z) + 11*k(z). Differentiate p(g) with respect to g.
2*g - 673
What is the third derivative of 4557*w**2 - 27*w**6 - 15*w**4 + 771*w**4 + 2*w**5 - 755*w**4 wrt w?
-3240*w**3 + 120*w**2 + 24*w
Suppose -2*q - 10 = 2. Let t(i) = i**2 - 18. Let v be t(q). Find the second derivative of 10*u - 31*u**5 + 10*u - v*u wrt u.
-620*u**3
Find the second derivative of -13208*f**2 + 36*f**3 + 13203*f**2 + 3962*f + 1413*f + 3*f**4 wrt f.
36*f**2 + 216*f - 10
Let s = 139 + -98. Let h = 51 - s. Find the third derivative of -h*o**2 + 12*o**2 + 6*o**4 + 19*o**2 wrt o.
144*o
Suppose 5*j + 3*b = -2*b - 20, -10 = 5*b. Let s be -3 + j/12 + (-133)/(-6). Find the second derivative of -56 + 14*q - 53 + s*q**3 + 109 wrt q.
114*q
Find the second derivative of 0 - 11428998*j + 11429031*j + 4516*j**3 + 6 + 27 wrt j.
27096*j
Let z(m) = 2634*m**4 + 4699*m**2 - 4*m. Let r(f) = -13173*f**4 - 23497*f**2 + 21*f. Let w(y) = 2*r(y) + 11*z(y). What is the third derivative of w(d) wrt d?
63072*d
Suppose -w - 5*f + 5 = 0, -2 + 0 = -2*f. Suppose w = -i - 4*i + 4*n + 35, -4*i + 4*n = -28. Find the second derivative of -8*u + 0*u - i*u**3 + 18*u wrt u.
-42*u
Let y(k) = 1151*k**3 + 7*k**2 + 739*k - 2. Let x(m) = -3*m**2 - 2*m + 1. Let u(z) = 2*x(z) + y(z). What is the third derivative of u(s) wrt s?
6906
Let b be ((-15)/2 - -4 - -4)*222. Let f = b + -97. What is the second derivative of f*z**3 - 14*z - 3*z + 2*z wrt z?
84*z
Let w = 6406 + -6402. Let n = 6 - 3. What is the third derivative of -363*z**3 + 13*z**w - 12*z**2 + 363*z**n + z**4 wrt z?
336*z
Let f be 406/28 - 10 - (-72)/6. Let o(s) be the first derivative of f*s**2 + 0*s + 9*s**3 + 28. Find the second derivative of o(t) wrt t.
54
Suppose t = -4*u + 41 + 12, -84 = -2*t + 3*u. Find the second derivative of -1 - 33*p - 7 + t*p + 191*p**2 - 1 wrt p.
382
Let r(z) be the second derivative of -1 + 1/6*z**3 - 25/12*z**4 - 83/2*z**2 - 2*z. Differentiate r(c) wrt c.
-50*c + 1
Let l(g) be the second derivative of -871*g**6/15 - 1377*g**2/2 + 1385*g. Differentiate l(t) with respect to t.
-6968*t**3
Let m(x) be the second derivative of 49*x**2 - 3 - 3*x**3 + 61*x - 3 + 1 + 6. What is the first derivative of m(o) wrt o?
-18
Find the first derivative of 2161*n**2 - 480*n**3 - 2161*n**2 - 229*n**3 - 1494 wrt n.
-2127*n**2
Let m(x) be the second derivative of 8*x**5/5 - x**4/2 - 100*x**3/3 - 3*x**2/2 + 3*x - 268. Find the second derivative of m(w) wrt w.
192*w - 12
Let m(k) be the second derivative of 0 + 67/12*k**4 + 1/15*k**6 + 0*k**5 + 0*k**3 + 157*k - 47/2*k**2. What is the derivative of m(l) wrt l?
8*l**3 + 134*l
Let n be 70/3*696/812. Let c = 3 - 1. What is the second derivative of 21 + 13*j - 15*j**c - 41 + n wrt j?
-30
Let h(j) be the second derivative of 1301*j**7/21 + 76*j**4 - 72*j. Find the third derivative of h(w) wrt w.
156120*w**2
Let h(i) be the first derivative of -21*i**3 - 87/4*i**4 + 0*i + 111 + 0*i**2. What is the third derivative of h(r) wrt r?
-522
Differentiate -1577*s**3 + 2868 - 2*s**2 + 13*s + 1556*s**3 + 2*s**2 + s**4 wrt s.
4*s**3 - 63*s**2 + 13
Let f(y) = -4*y**4 + 227*y**2 - 858*y - 6. Let s(u) = -13*u**4 + 680*u**2 - 2573*u - 21. Let b(i) = 7*f(i) - 2*s(i). Find the second derivative of b(d) wrt d.
-24*d**2 + 458
Let k = 26 + -13. Let a be (1/(-9)*3)/(-3*9/972). Differentiate a + k - 20*w**4 - 11 wrt w.
-80*w**3
Let w(q) be the first derivative of 95*q**3/6 + 74*q**2 - 146*q + 67. Let m(p) be the first derivative of w(p). Find the first derivative of m(g) wrt g.
95
Let m be (-369)/(-27) + (-1)/(-3). Let p = 51 - m. Find the first derivative of p*f**4 - 11 - 31*f**4 - 5 wrt f.
24*f**3
Let m(c) be the first derivative of 88*c**5/5 + 3*c**4/4 - c**3 - 74*c - 832. Find the third derivative of m(s) wrt s.
2112*s + 18
Let o(t) = 65*t**4 + t**3 + 1131. Let i(l) = -l**3 + 1. Let f(m) = -i(m) - o(m). Find the first derivative of f(d) wrt d.
-260*d**3
Let u(f) be the second derivative of -199*f**4/3 + 125*f**2/2 - 1156*f. Find the first derivative of u(t) wrt t.
-1592*t
Let w(x) = 12*x + 16. Let u be w(-1). What is the derivative of 23*v**4 - 16*v**4 - 23 + 5*v**4 + 66*v**u wrt v?
312*v**3
Find the second derivative of 3407*j**2 + 2835*j - 10226*j**2 + 3413*j**2 + 370*j**3 + 3406*j**2 wrt j.
2220*j
Let y(j) = -j**3 + 8*j**2 + 14*j - 13. Let i be y(9). Suppose -i = -10*r + 2*r. Find the second derivative of 5*x**4 + x**4 - 4*x + x**4 + 7*x**r wrt x.
168*x**2
Let r(v) be the second derivative of -128*v**5/5 - 7*v**4/12 + 76*v**2 + 1987*v. What is the third derivative of r(z) wrt z?
-3072
What is the third derivative of 622127*z**3 + 3 - 10002*z**2 - 622912*z**3 - 3 wrt z?
-4710
Let h(y) be the first derivative of 4*y**6 - 45*y**4/4 + 1027*y**2/2 + 782. What is the second derivative of h(n) wrt n?
480*n**3 - 270*n
Let g(j) = 1432*j**3 - 2*j**2 - 218. Let r(m) = -7160*m**3 + 11*m**2 + 1096. Let i(x) = -11*g(x) - 2*r(x). Differentiate i(h) wrt h.
-4296*h**2
What is the third derivative of 48*y - 1349*y**3 - 156*y - 1054*y**2 + 56*y + 52*y wrt y?
-8094
What is the second derivative of 25*s**4 + 195*s**2 + 590*s + 235*s**2 - 415*s**2 + 3 wrt s?
300*s*