
-459120*a**2
Let d be 1*4/(5 + -1) + 156. What is the third derivative of -8*y**5 - 24*y**6 - y**3 - 146*y**2 + 8*y**5 + d*y**2 wrt y?
-2880*y**3 - 6
Let n be -2 - 2 - (-4 + 97). Let h = n - -107. Find the second derivative of -17*w**2 + h*w + 6*w + 2*w**4 + 33*w - 7*w**2 wrt w.
24*w**2 - 48
Suppose 25*n - 95 = 6*n. Let w(u) = 135*u**3 + 190. Let z(p) = -90*p**3 - 126. Let j(b) = n*w(b) + 8*z(b). What is the first derivative of j(m) wrt m?
-135*m**2
Let n(o) = 2*o**2 + 65*o + 444. Let h be n(-9). Let g(i) be the first derivative of -h + 17*i + 3/2*i**2. Find the first derivative of g(p) wrt p.
3
Differentiate -8456 - 1447*l**3 - 8406 + 16907 with respect to l.
-4341*l**2
Suppose 4*c + 0 - 4 = 0. Find the second derivative of 1557*a**4 + 21*a + a**3 + c - a**3 - 1552*a**4 wrt a.
60*a**2
Let i(h) = 7*h**3 + 10*h**2 + 22*h - 2994. Let k(y) = 6*y**3 + 8*y**2 + 21*y - 2994. Let g(f) = 4*i(f) - 5*k(f). Differentiate g(q) wrt q.
-6*q**2 - 17
Let m = 120 + -118. What is the third derivative of -x + 29*x**5 - 35*x**m - 123*x**4 + 123*x**4 + 2*x wrt x?
1740*x**2
Suppose 46*f = 43*f + 6. What is the derivative of 12*h**2 - 4*h**3 - 13*h**2 + 75 - 2*h**f wrt h?
-12*h**2 - 6*h
Let f(g) = -2. Let w(i) = -2 - 2 + 3 + 4. Let k(l) = 5*f(l) + 3*w(l). Let h(p) = -7*p - 31. Let j(b) = -h(b) + 2*k(b). Find the first derivative of j(c) wrt c.
7
Let h(s) be the first derivative of -s**5/5 + 459*s**4/4 - 314*s**3/3 + 1857. Find the third derivative of h(n) wrt n.
-24*n + 2754
Suppose 9*w - 13*w + 324 = 0. Find the third derivative of 8 + j**2 - 20 + 27*j**6 - w*j**6 + 5*j**2 + 0*j**2 wrt j.
-6480*j**3
Differentiate 1655*q - 403 + 102 - 66 + 18 + 52 wrt q.
1655
Let u(j) = -220*j**2 + 4*j + 55. Let y(k) = -2*k**2 - 4*k + 2. Let s(b) = 2*u(b) + 2*y(b). What is the first derivative of s(o) wrt o?
-888*o
What is the second derivative of -24654 + 24654 - 1226*m + 1245*m**2 wrt m?
2490
Suppose 0*g - 65 = -5*h + 5*g, 23 = 2*h - g. Find the second derivative of -26*k**4 - 32*k**4 - h*k - 74*k**4 - 40*k + 14*k**4 wrt k.
-1416*k**2
Let v(z) = -210*z**4 - 11*z**3 + 3*z**2 + 829. Let c(i) = 211*i**4 + 13*i**3 - 4*i**2 - 819. Let w(s) = 3*c(s) + 4*v(s). Differentiate w(d) wrt d.
-828*d**3 - 15*d**2
Suppose 2*z - 2*o - 3 = -5*o, -4*z + 15 = -3*o. Let c be (-9 - 56/(-6))*(1 + 11). Differentiate -4*l**3 + z*l**3 + 39*l**3 + c*l**3 - 1 with respect to l.
126*l**2
What is the second derivative of 4*w**5 + 48*w - 80*w**3 + 75*w**3 + 664*w - 1521*w - 105*w**2 wrt w?
80*w**3 - 30*w - 210
Let b(k) be the first derivative of -7/3*k**6 + 0*k**5 - 6*k**2 + 1/3*k**3 - 25 + 1/4*k**4 + 0*k. What is the third derivative of b(n) wrt n?
-840*n**2 + 6
Let x(o) = 97*o**2 - 12*o - 1684. Let r(l) = -250*l**2 + 35*l + 5053. Let v(m) = -3*r(m) - 8*x(m). Differentiate v(c) with respect to c.
-52*c - 9
Let o(u) be the first derivative of 2223*u**7/7 - 821*u**3/3 + u**2/2 + 2453. What is the third derivative of o(g) wrt g?
266760*g**3
Let m(g) be the second derivative of 0 + 0*g**5 + 0*g**3 + 13/6*g**4 + 7*g + 0*g**2 - 49/30*g**6. Find the third derivative of m(u) wrt u.
-1176*u
Let a(v) be the third derivative of v**7/30 - 17*v**6/60 - v**5/30 + 998*v**3/3 + 2*v**2 - v + 575. What is the first derivative of a(l) wrt l?
28*l**3 - 102*l**2 - 4*l
Find the third derivative of -8*i**5 - 14*i**3 - 601 + 2064*i**2 + 12*i**3 - 53*i**4 + 602 wrt i.
-480*i**2 - 1272*i - 12
Differentiate -43*z**2 + 50*z**2 - 317*z + 335*z + 3246 wrt z.
14*z + 18
Let m(j) = -j**3 - 12*j**2 - 2*j + 14. Let h be m(-11). Let x = h - -97. Differentiate 7 - 44 + x*l**3 - 12*l**3 - 25*l**4 wrt l.
-100*l**3
Differentiate 12*v - 2223 - 3*v**2 + 2165 - 8*v**2 with respect to v.
-22*v + 12
Let d be 5 - -1*(6 + 24). Differentiate -30*a**3 - 123 - d*a**3 + 58*a**3 + 34 - 2*a wrt a.
-21*a**2 - 2
Find the third derivative of 61475*v**5 + 1582*v**2 - 27988*v**5 - 26665*v**5 + 1306*v**2 wrt v.
409320*v**2
Let p = -3679 - -7204. Find the second derivative of p*t + 3 - 136*t**2 - 3 - 3397*t wrt t.
-272
Let o(u) be the second derivative of 8/3*u**3 + 0*u**2 + 0*u**5 + 0*u**4 + 28*u + 0 - 31/15*u**6. Find the second derivative of o(n) wrt n.
-744*n**2
Let c(p) be the second derivative of 3/2*p**3 - 88*p + 0 + 0*p**6 + 0*p**5 + 125/42*p**7 + 0*p**2 + 0*p**4. Find the second derivative of c(q) wrt q.
2500*q**3
What is the second derivative of -455*v**4 + 15952154*v - 15952141*v - 18 - 424*v**4 wrt v?
-10548*v**2
Let p be 1 - (0 - 0) - -577. What is the second derivative of 195*u + 195*u + 189*u - p*u - 55 + 56*u**2 wrt u?
112
Let s be -7*(-2)/42 + (-166)/(-6). Find the third derivative of 168*r**2 + 101*r**3 - 63*r**3 - 34*r**3 - s*r**4 wrt r.
-672*r + 24
Suppose 6*g = 5*g + 54. Suppose 0 = -4*w + g - 6. Find the second derivative of -4*r + w*r**4 + 2042 - 2042 wrt r.
144*r**2
Let m(g) be the first derivative of 2581*g**4/2 + 2*g**3/3 + 2*g**2 + 809*g - 8164. Find the third derivative of m(q) wrt q.
30972
Let k(y) be the third derivative of 143*y**8/336 + 2*y**7/105 - y**5/60 + 19*y**4/4 - y**3 - 2*y**2 + 2*y - 97. What is the second derivative of k(u) wrt u?
2860*u**3 + 48*u**2 - 2
Suppose 11*x = 9*x + 24. Suppose 0 = -x*m + 17*m - 50. Find the third derivative of g**2 + 4*g**4 - m*g**2 + 3*g**4 + 0*g**2 wrt g.
168*g
Suppose g - 20 = -2*f - 5, 4*f + 5*g = 21. What is the first derivative of 2*s - 64 - 47*s - f*s wrt s?
-54
Let r = 83 + -73. Differentiate -r*b**2 + 45 + 32 - b**2 with respect to b.
-22*b
What is the third derivative of 5*v**3 - 4041*v**2 + 557*v**2 - 6*v**3 - 715*v**5 wrt v?
-42900*v**2 - 6
Suppose -7*t + 5*n + 1130 = -2*t, -t - n + 220 = 0. Let i = -405 + 407. What is the third derivative of -6*z**2 - 12*z**i + t*z**4 - 213*z**4 wrt z?
240*z
Let x(c) be the third derivative of 635*c**9/63 + 3031*c**5/30 + c**2 + c + 2665. Find the third derivative of x(l) wrt l.
609600*l**3
Let y(d) = d**3 - d + 1. Let i(h) = 3*h**3 - 58*h**2 - 2*h - 93 - h + 58*h**2 - 203*h**4. Let q(v) = -i(v) + 3*y(v). Find the first derivative of q(n) wrt n.
812*n**3
Suppose 6*z - 2*y + 18 = 7*z, 0 = 4*y - 4. Find the second derivative of 11 + z*s**2 + s + 3 + 13 + 0*s wrt s.
32
Suppose -1003 = -12*t + 41. Find the third derivative of t*l**6 + 80*l**6 - 127*l**2 - 158*l**6 wrt l.
1080*l**3
Let h(t) be the third derivative of -3506*t**5/15 - 447*t**3/2 + 3566*t**2. Find the first derivative of h(i) wrt i.
-28048*i
Let b = -33/574 - -5839/1722. Let o(l) be the third derivative of -16*l**2 + 0 - b*l**3 + 0*l + 35/24*l**4. Differentiate o(v) with respect to v.
35
Let p(i) = 2*i**2 - 9. Let b(u) = -42*u**3 - 25*u**2 + 2725*u - 29. Let n(c) = b(c) - 3*p(c). Find the second derivative of n(h) wrt h.
-252*h - 62
Let c(j) = -3708*j**2 - 87*j + 17. Let v(x) = 1854*x**2 + 50*x - 9. Let i(a) = 3*c(a) + 5*v(a). What is the second derivative of i(f) wrt f?
-3708
Let p(a) be the third derivative of -1093*a**6/120 + a**5/60 - 683*a**4/24 - a**3/3 + 6812*a**2. What is the second derivative of p(u) wrt u?
-6558*u + 2
Let c be (-63)/(-42)*3/(3/2). What is the third derivative of -3*y**2 + 15*y**2 - y**c - 137*y**2 wrt y?
-6
Let y(o) be the third derivative of -17*o + 0*o**6 + 0 - o**2 + 2/3*o**4 - 1/3*o**3 - 1/30*o**5 + 1/42*o**7. What is the second derivative of y(q) wrt q?
60*q**2 - 4
Let h(b) = b**4 - 546*b**3 + 54*b**2 + 35*b - 5. Let y(s) = 273*s**3 - 28*s**2 - 14*s + 3. Let d(z) = -2*h(z) - 5*y(z). Find the third derivative of d(w) wrt w.
-48*w - 1638
Let n(g) = 5*g - 14 + g - 23 - 8*g**2 - 8*g. Let j(x) = 16*x**2 + 5*x + 74. Let p(y) = -2*j(y) - 5*n(y). What is the derivative of p(r) wrt r?
16*r
Differentiate -75380*x**4 + 350 + 1002 + 75466*x**4 wrt x.
344*x**3
Let h(k) = 3*k**3 + 4*k**2 - 915*k + 887. Let b(d) = -5*d**3 - 6*d**2 + 915*d - 886. Let v(w) = 2*b(w) + 3*h(w). What is the first derivative of v(r) wrt r?
-3*r**2 - 915
Let u(h) be the second derivative of 28 + 5*h**2 + 0*h**5 + 1/4*h**4 + 0*h**7 + 0*h**6 + 73/56*h**8 + 3*h + 0*h**3. Find the third derivative of u(m) wrt m.
8760*m**3
Let b(i) = 17*i - 91. Let h(d) be the first derivative of -10*d**2 + 91*d - 70. Let g(r) = -4*b(r) - 3*h(r). Find the first derivative of g(w) wrt w.
-8
Let r be -4 + -14*3/((-21)/2). Suppose r = -6*l + 2*l + 32. What is the first derivative of -l + 16*o**3 + o**3 + 11 - 21 wrt o?
51*