74840*y**3
Suppose s + s = -4. Let q(y) = -7 + 19 - y - 11. Let d(k) = -3*k - 9. Let r(u) = s*q(u) - d(u). Find the first derivative of r(l) wrt l.
5
Let s(h) be the second derivative of -20*h**6 + h**4/6 + 1579*h**2/2 - h - 461. Find the first derivative of s(u) wrt u.
-2400*u**3 + 4*u
Let m(y) be the second derivative of -340*y**4/3 - 83*y**3/6 + 1987*y. What is the second derivative of m(d) wrt d?
-2720
Let x(c) = 7135*c**2 - 4480*c + 24. Let u(v) = -2377*v**2 + 1493*v - 9. Let f(y) = 8*u(y) + 3*x(y). What is the second derivative of f(s) wrt s?
4778
Suppose 0 = -3*v + b + 33 + 29, -3*b = -4*v + 86. Suppose v - 18 = a. What is the second derivative of 369*m**2 - 195*m**a - 204*m**2 - 29*m wrt m?
-60
Let o(d) be the third derivative of 19*d**4/6 - 83*d**3/6 + 25*d**2. Let l(v) = 74*v - 85. Let u(t) = 3*l(t) - 4*o(t). What is the derivative of u(z) wrt z?
-82
Suppose -12*k - 40*k + 312 = 0. Let d = 3 - -4. Differentiate -13*y**4 + d*y**4 + 4 + 9 - k wrt y.
-24*y**3
Let k(g) be the third derivative of -g**7/210 - 49*g**4/24 + 1000*g**3/3 - 1160*g**2. What is the derivative of k(j) wrt j?
-4*j**3 - 49
Let g(j) be the second derivative of -j**3/3 + 26*j**2 + 2*j. Let l be g(6). Find the second derivative of 13 - 33*t - 18 + 5 - l*t**2 wrt t.
-80
Let o = 184 + -171. Find the third derivative of -7*r**6 - o*r**5 - 28*r + 13*r**2 + 5*r**6 - 170*r**2 + 28*r wrt r.
-240*r**3 - 780*r**2
Let j = 151 + -98. Find the third derivative of -6*x**3 - 2*x**2 - j*x**4 + 5 + 3*x**3 + 67*x**4 wrt x.
336*x - 18
Let o(i) = -1027*i**3 + 11*i**2 - 19*i - 5. Let l(d) = 1026*d**3 - 12*d**2 + 20*d + 4. Let k(r) = -5*l(r) - 4*o(r). What is the third derivative of k(x) wrt x?
-6132
Let g(k) = -k - 4. Suppose -4*n - 10 = 26. Let b be g(n). What is the second derivative of -12*w**5 + 5*w**5 - w - 4*w**b - 6*w**5 wrt w?
-340*w**3
Find the third derivative of 2*h**2 - 3*h**2 + 2212 + 3*h**2 - 3205 + 2539 + 1787*h**3 wrt h.
10722
Let g(f) = 4*f - 35. Let x(o) = o**2 + 16*o. Let z be x(-17). Let t be g(z). What is the second derivative of -30*l + 53*l - 7*l**4 - t*l wrt l?
-84*l**2
Suppose -z + 2 = -4*b + 5*b, -3*b = -4*z + 8. What is the derivative of -40*n**z - 215 - 34*n**2 - 10*n + 2*n**3 - 36*n**2 + 110*n**2 wrt n?
6*n**2 - 10
Find the third derivative of 73279*a**2 - 36149*a**2 - 36001*a**2 + 771*a**3 wrt a.
4626
Let q be (10/3)/(8/12). Suppose q = 2*m + 1. Differentiate 3*b + m - 8 + 5*b + 2*b wrt b.
10
Let p(x) be the third derivative of 985*x**4/24 - 1001*x**3/3 + 5*x**2. Find the first derivative of p(s) wrt s.
985
Let u(j) be the third derivative of -j**5/60 - j**4/8 + j**3/6 - 30*j**2. Let c be u(-2). Differentiate -14 - 2*a**3 + 4 - 18*a**c wrt a.
-60*a**2
Let q(j) be the first derivative of -5201*j**2/2 + 5685*j - 2133. Differentiate q(y) with respect to y.
-5201
Let h(k) be the third derivative of -77*k**8/3 + k**5/20 + 41*k**4/24 - k**3/2 - 628*k**2 + 7. What is the third derivative of h(f) wrt f?
-517440*f**2
Let r = 181 + -185. Let k(z) = 27*z - 11. Let x(l) = 54*l - 23. Let t(w) = r*x(w) + 7*k(w). What is the derivative of t(c) wrt c?
-27
Let m(g) be the third derivative of -47/60*g**6 - 1/30*g**5 + 0 - 2*g + 0*g**3 + 2*g**4 - 87*g**2. What is the third derivative of m(r) wrt r?
-564
Let h(j) be the first derivative of j**6/3 - 704*j**5/5 + 323*j**2/2 - 623. Find the second derivative of h(q) wrt q.
40*q**3 - 8448*q**2
Suppose -n = -3*t - 25, 2*n - 42 - 20 = 2*t. Find the third derivative of 15*o**4 - 240*o**2 + n*o**4 + 143*o**2 wrt o.
1176*o
Let d(i) be the third derivative of 0*i**5 - 43/24*i**4 - 1/42*i**7 + 0 + 0*i**6 + 7*i**2 + 0*i**3 + 0*i. Find the second derivative of d(u) wrt u.
-60*u**2
Let u(b) be the first derivative of -281*b**5/5 - 730*b - 648. Differentiate u(q) wrt q.
-1124*q**3
Find the first derivative of 2177 + 1418 + 241*a - 1069 + 3177 wrt a.
241
Let n(k) = 9427*k**3 - 515*k + 8295. Let j(d) = 4713*d**3 - 206*d + 4147. Let r(h) = -10*j(h) + 4*n(h). What is the derivative of r(u) wrt u?
-28266*u**2
Let y(p) = -98*p**2 - 68*p - 8335. Let j(f) = 23*f**2 + 16*f + 2084. Let r(t) = -17*j(t) - 4*y(t). What is the derivative of r(u) wrt u?
2*u
Let a(j) be the first derivative of j**6/3 + 75*j**3 - 3161*j**2/2 + 5807. What is the second derivative of a(m) wrt m?
40*m**3 + 450
Let h(c) = -2*c**3 - 8*c**2 - 4*c + 8. Let q be h(-4). Find the third derivative of s**2 + 41*s**5 + 23*s + q*s - 55*s wrt s.
2460*s**2
Let x(d) = -14*d**4 - d**2 + d + 1. Let a(s) = -613*s**4 + 434*s**2 - 3*s - 3. Let q(b) = a(b) + 3*x(b). Find the third derivative of q(n) wrt n.
-15720*n
What is the derivative of -528*r + 110 - 146*r - 175 - 607*r + 560 wrt r?
-1281
Let c(j) be the second derivative of j**7/42 - 8*j**6/15 + 3*j**5/2 + 2413*j**4/12 - 2838*j. What is the third derivative of c(u) wrt u?
60*u**2 - 384*u + 180
Let c(t) = 225*t**2 - 212*t + 7. Let z(h) = 4 - 314*h + 45*h**2 + 68*h**2 + 207*h. Let l(k) = 4*c(k) - 7*z(k). What is the second derivative of l(g) wrt g?
218
Let m(u) be the first derivative of u**2/2 - 5*u + 1. Let t be m(7). Find the first derivative of 2*f - 4 - t*f - 122*f**3 + 119*f**3 wrt f.
-9*f**2
Let y be (-56)/(-70) - (-8)/(-10). Find the second derivative of 6*h - 7*h + 8*h + 8 + 2*h**2 + y*h - 16*h**4 wrt h.
-192*h**2 + 4
What is the first derivative of 2*x**4 + 317*x + 743 + 19*x**2 - 5370 - 324*x wrt x?
8*x**3 + 38*x - 7
Let k = 668 + -669. Let x(h) = -163*h**2 - 189*h. Let g(u) = u**2 + u. Let v(m) = k*x(m) - 3*g(m). What is the second derivative of v(t) wrt t?
320
Let p(b) be the first derivative of 2714*b**3/3 - 5241*b + 3766. What is the derivative of p(x) wrt x?
5428*x
Let u(j) = -j**3 - j**2 + j + 2. Suppose 3*l = -2*l - 5*l. Let z be u(l). What is the third derivative of -z*x**4 + 25*x**5 - 4*x**2 + 2*x**4 + 0*x**4 wrt x?
1500*x**2
Let h(d) = -5 + 22*d + 11*d**2 - 39*d + 3*d**3 - 4*d**3. Let o be h(9). Find the second derivative of -3*q - o*q + 19*q**5 - 8*q wrt q.
380*q**3
Let n = -19 + 40. Let o be 8 + (-7)/(n/15). Find the first derivative of 3 + 207*j**o - 7 - 234*j**3 wrt j.
-81*j**2
Let d(v) = -8*v**5 - 11*v**4 + 168*v**3 + 4575*v**2 - 5*v. Let z(t) = 2*t**4 - 3*t**3 + t. Let x(i) = d(i) + 5*z(i). Find the third derivative of x(s) wrt s.
-480*s**2 - 24*s + 918
Find the third derivative of -430*x**6 + 455*x**6 + 1 + 644*x**6 - 37*x**6 + 707*x**6 + 941*x**2 wrt x.
160680*x**3
Let i = -102 - -106. Differentiate 2*u**2 + 405*u**4 - 349*u**i - 4*u**2 - 76 with respect to u.
224*u**3 - 4*u
Suppose 7*z = 1475 + 1500. Find the third derivative of -101*x**6 - 425*x**3 + z*x**3 + 27*x**6 - 44*x**2 wrt x.
-8880*x**3
What is the first derivative of 10017 + 2171*p - 17270 + 3678*p + 10551 wrt p?
5849
Let t(r) be the second derivative of 649*r**5/5 + 117*r**4/4 + 100*r - 12. Find the third derivative of t(i) wrt i.
15576
What is the second derivative of -1050*q + 144*q - 1076*q**3 - 21718*q**2 - 345*q + 21718*q**2 wrt q?
-6456*q
Suppose -3*r + 22*l + 31 = 18*l, 0 = 2*l + 2. What is the second derivative of -24*s - 14 - 146*s**4 + 92*s + r + 5 wrt s?
-1752*s**2
Let j(c) = 3*c**2 - 2*c - 2. Let y(p) = 4410*p**2 - 7*p - 266. Let d(u) = -6*j(u) + y(u). What is the second derivative of d(h) wrt h?
8784
What is the third derivative of 10492*i**2 - 328*i**5 + 0*i**4 - 3*i + 1124*i**5 - 10484*i**2 + 0*i**4 wrt i?
47760*i**2
Let t(n) be the second derivative of -137*n**6/2 + n**4/12 - 953*n**2/2 - 1121*n. What is the third derivative of t(x) wrt x?
-49320*x
Let z(j) be the first derivative of 2*j**3/3 - 145*j**2/2 - 1038*j - 2124. Differentiate z(p) with respect to p.
4*p - 145
Find the third derivative of -4*t**3 - 175*t**6 + 227*t**2 - 8 + 6 + 2 + 41*t**6 wrt t.
-16080*t**3 - 24
Find the first derivative of -4147 + 1323 - 2416 - 6640*f wrt f.
-6640
Let n(x) = 6*x + 2. Let o(z) = 1972*z + 2316. Let q(d) = 6*n(d) + o(d). Differentiate q(g) with respect to g.
2008
Find the first derivative of -32281 + 29509 + 235*p**3 - 1539*p**3 wrt p.
-3912*p**2
Let i(d) be the third derivative of -d**8/168 + 199*d**7/210 + 7*d**6/60 - 41*d**5/15 - 4*d**3/3 + 238*d**2 - 5*d. Find the third derivative of i(h) wrt h.
-120*h**2 + 4776*h + 84
Let j(x) be the second derivative of -31*x**5/20 - 5*x**4/2 - 719*x**3/6 + x**2/2 - 1274*x. Find the second derivative of 