
-82
Suppose 5*g - 4*y - 117 = 0, g - 5*y = -3*g + 99. Find the second derivative of -13*a + 39*a**3 - 39*a**3 - g*a - 92*a**4 wrt a.
-1104*a**2
Suppose m - 20 = 6. Suppose 0 = 5*a - 59 - m. Let i(j) = 31*j - 6. Let c(f) = -92*f + 19. Let q(s) = a*i(s) + 6*c(s). Differentiate q(v) with respect to v.
-25
Let f(z) be the second derivative of -499*z**5/2 - 378*z**2 - 3165*z. What is the derivative of f(x) wrt x?
-14970*x**2
Suppose 3*q + 42 = 10*q. Let o be 44/(-55)*1*(-105)/q. Find the second derivative of -993*i**2 + o*i - 27*i**5 + 993*i**2 wrt i.
-540*i**3
Let f = -67 + 70. Let h(o) be the first derivative of -4*o**f - 5*o + 9*o + o**3 + 4. What is the first derivative of h(b) wrt b?
-18*b
Let x(g) be the first derivative of 1/6*g**4 + 0*g**2 - 17 - 1/6*g**3 - 8*g. Let d(n) be the first derivative of x(n). Find the second derivative of d(i) wrt i.
4
Differentiate 7*q**2 - 23*q**2 - 3*q**2 + 19*q**2 + 9711 - 2491*q**3 wrt q.
-7473*q**2
Let r(c) be the third derivative of c**8/112 + 67*c**7/105 + 22*c**5/15 + 19*c**3/6 - 385*c**2 + 6*c. Find the third derivative of r(p) wrt p.
180*p**2 + 3216*p
Let b(v) be the second derivative of -17*v - 2 - 5*v**4 + 5/2*v**2 - 1/3*v**3. What is the second derivative of b(n) wrt n?
-120
What is the third derivative of 30 + 1288*u**2 - 19 + 96*u - 16 - 1283*u**2 + 3272*u**5 wrt u?
196320*u**2
What is the second derivative of 179*q + 6814 - 3402 - 1765*q**4 - 3415 wrt q?
-21180*q**2
Let g = -572 - -574. What is the derivative of -6*v - 5*v - 41 - 3*v + 16*v - 41*v**g wrt v?
-82*v + 2
Let z(h) be the first derivative of 1526*h**6/3 - 713*h**3 + 93. What is the third derivative of z(s) wrt s?
183120*s**2
Let d(n) be the third derivative of -n**7/105 + n**6/20 - 133*n**5/60 - 3*n**4 + 11*n**3/6 - 2865*n**2. What is the second derivative of d(r) wrt r?
-24*r**2 + 36*r - 266
Let l be -1 - 1 - (-6 + 1). Let m(k) = k**3 + 4*k**2 - 12*k - 10. Let g be m(-5). What is the first derivative of 8*c**l - 3 - g + 12 wrt c?
24*c**2
Let q = -38 + 74. Suppose 0*u = -4*u + q. Differentiate -u - 1 + 28 - 15*t**4 wrt t.
-60*t**3
Let z(y) be the second derivative of 19 + 0*y**2 + 19/4*y**4 - 1/15*y**6 - 5/14*y**7 + 0*y**5 + 2*y - 1/3*y**3. What is the third derivative of z(i) wrt i?
-900*i**2 - 48*i
Let d(f) = -38*f + 11. Let a(s) = s + 1. Let v(k) = -5*k - 67. Let r be v(-13). Let m(t) = r*d(t) - 6*a(t). What is the derivative of m(i) wrt i?
70
Let g(m) be the second derivative of 23/6*m**4 + 0*m**6 + 1/2*m**3 + 0*m**5 - 7*m - 1/21*m**7 + 0*m**2 - 5. What is the second derivative of g(r) wrt r?
-40*r**3 + 92
What is the third derivative of 1035*f**2 - 1925*f**2 - f - 1826*f**3 + 1169*f**2 wrt f?
-10956
Let u(g) be the third derivative of -569*g**4/24 + 763*g**3/6 + 1056*g**2. What is the derivative of u(l) wrt l?
-569
Let t(f) be the third derivative of 11*f**7/15 + 215*f**4/6 + 6*f**2 - 28*f. What is the second derivative of t(p) wrt p?
1848*p**2
Suppose -11*x - 39 = -14*x. What is the third derivative of -67*n**3 - 33*n**2 - 20*n**2 - x*n**2 wrt n?
-402
Suppose -2*w - 3*t + 10 = 0, 19 + 13 = 3*w - 4*t. Suppose 28 = w*z - 12. What is the second derivative of -6*g**5 - 4*g**5 - 5*g**5 + 7*g**z - 41*g wrt g?
-160*g**3
Suppose -3*g = 2*o - 18, 5*o + 15*g = 14*g + 19. Let j be (-2)/(-4) + 5/2. What is the second derivative of 135 - 135 + s**3 - 5*s + o*s**j wrt s?
24*s
Suppose 3*j = q + 4, 6*j + 4*q - 16 = 2*j. Find the second derivative of 6*o**2 + 527*o + 21*o**2 - 529*o - 20 + 26*o**j wrt o.
106
Differentiate -465*n**2 + 236*n**3 - 1420 + 219*n**3 - 457*n**3 wrt n.
-6*n**2 - 930*n
Let d(j) = 501*j**3 + 16*j**2 + 5*j + 154. Let f(v) = 1502*v**3 + 52*v**2 + 17*v + 463. Let g(w) = 13*d(w) - 4*f(w). Find the second derivative of g(k) wrt k.
3030*k
Let h be (6/4)/((-18)/(-408)). Suppose -37*b + 6 = -h*b. Differentiate -13*m**2 + 18*m**2 - 8*m**2 - 8*m**b - 32 with respect to m.
-22*m
Let o(i) be the first derivative of -i**4 + 37 + 11*i**4 - 16 - 7 - 8*i + 2*i**2 - i**2. What is the derivative of o(m) wrt m?
120*m**2 + 2
Let m(n) be the first derivative of 117 + 10*n - n**2 + 0*n**3 - 13/2*n**4. Differentiate m(h) with respect to h.
-78*h**2 - 2
What is the second derivative of 22*v + 69*v + 3*v - 14*v - 343*v - 642*v**2 wrt v?
-1284
Let t(c) = -2 + 6*c + 3*c**2 + 4 - c**2 - 5*c - 3*c**2. Let g(o) = -o**3 - 3*o**2 - 42*o + 128. Let k(s) = g(s) - 3*t(s). What is the derivative of k(i) wrt i?
-3*i**2 - 45
Let y(o) = 7*o - 138. Let v be y(24). Find the third derivative of x**4 + v*x**5 + 148*x**2 + 66*x**2 + 3*x**4 - 11*x**5 - 6*x**2 wrt x.
1140*x**2 + 96*x
Suppose -152 = 36*a - 40*a. Find the third derivative of -330*s + 663*s - a*s**3 + s**2 + 5 - 333*s wrt s.
-228
Find the second derivative of 109*v - 336*v + 1219*v**2 - 336*v**2 - 433*v wrt v.
1766
Let q(k) be the third derivative of -29*k**5/6 - k**4/12 + 1636*k**3/3 + 7*k**2 - 104. Find the first derivative of q(z) wrt z.
-580*z - 2
What is the third derivative of -143*r + 24*r**4 - r**2 - 25*r**3 + 74*r + 286*r wrt r?
576*r - 150
Let h be 1/((-5432)/(-904) + -6). Differentiate -h + 143 + 204*i - 3*i with respect to i.
201
Let w be 5 + 2*(-10796)/(-8). Let x = -1559 + w. Differentiate x + 47*m**3 - 1151 - 10*m**3 - 2*m**4 with respect to m.
-8*m**3 + 111*m**2
Let d(w) = -33*w - 57. Let z(n) = 906 + 1011 - 2032 - 67*n. Let o(y) = -7*d(y) + 3*z(y). Find the first derivative of o(r) wrt r.
30
Let y(l) be the first derivative of 1943*l**3/3 - 860*l**2 + 4199. Find the second derivative of y(m) wrt m.
3886
What is the second derivative of 2026*w**2 + 2097*w**2 - 1038*w**2 - 3 + 724*w**2 - 530*w wrt w?
7618
Let t be 92/46 + ((-3)/1 - 0). Let m(l) = 32*l**2 - 13. Let z(s) = s**2 - 2. Let j(a) = t*m(a) - 6*z(a). What is the first derivative of j(n) wrt n?
-76*n
Let p(u) be the first derivative of 4*u**3 + u**2 + 17*u - 41. Let d be p(-6). What is the third derivative of 3*i + 451*i**2 - 20*i**5 - d*i**2 - 3*i wrt i?
-1200*i**2
Let d = 247 - 240. Find the second derivative of f**3 - 18*f**4 - 54*f + 17*f**4 + d*f**3 - 15*f wrt f.
-12*f**2 + 48*f
Let y(m) be the third derivative of -41*m**2 - 7/3*m**3 + 0*m**5 + 1/210*m**7 - 1/60*m**6 + 0 + 0*m + 0*m**4. Find the first derivative of y(f) wrt f.
4*f**3 - 6*f**2
Let q(n) = -3*n + 5. Let d be q(0). Suppose 7 + d = 6*y. What is the derivative of 3 - 3*c**y + 0*c**2 + 1 - c**2 wrt c?
-8*c
What is the second derivative of 765*g**2 + 608*g - 514*g**2 - 1813*g - 1 + 1228*g**2 wrt g?
2958
Let k be (14 - 9) + (-5 - -3) + 1. Find the third derivative of -6086*i + 12175*i - 128*i**2 + 4*i**3 - 6089*i + 11*i**k wrt i.
264*i + 24
What is the first derivative of 507 - 821 + 2257 + 342*n**2 + 856 + 2800*n**2 wrt n?
6284*n
Let w(z) be the second derivative of 41*z**7/2 - 83*z**3/6 + 5*z**2/2 - 1500*z. What is the second derivative of w(t) wrt t?
17220*t**3
Suppose 0 = 8*u - 4 - 28. What is the first derivative of -2*j + 106*j**4 - 55*j**u - 20*j**4 - 55 wrt j?
124*j**3 - 2
Let f(w) be the third derivative of 31*w**6/12 + w**5/30 - 893*w**3/3 + 20*w**2 + 4. Differentiate f(x) wrt x.
930*x**2 + 4*x
What is the derivative of -103 + 333*c - 110*c + 509*c - 123*c + 601 wrt c?
609
Let f(s) be the first derivative of 452*s**3/3 + 1489*s + 1032. Find the first derivative of f(d) wrt d.
904*d
Let o(j) = -j**4 - j**2 - 1. Let f(a) = -3*a + 6*a**4 - 5*a - a**4 + 9*a + 45 + 4*a**2. Let i(y) = -f(y) - 4*o(y). Find the first derivative of i(u) wrt u.
-4*u**3 - 1
Let c(b) = -25*b - 92. Let s be c(-4). Find the second derivative of -f**2 + 1408*f + 2*f**2 - s*f**5 + f**2 - 1329*f wrt f.
-160*f**3 + 4
Let a(n) = 6*n**3 - 19*n**2 + 6*n + 4629. Let x(s) = -36*s**3 + 120*s**2 - 38*s - 27772. Let v(y) = -13*a(y) - 2*x(y). Differentiate v(c) with respect to c.
-18*c**2 + 14*c - 2
Find the third derivative of -p + 15286 + 3*p**2 + 2*p**3 - 33137 + 1317*p**5 + 2*p**4 + 15593 wrt p.
79020*p**2 + 48*p + 12
Let l(g) = -241*g**2 - 86*g - 11. Let r(t) = -3*t**2 - t - 1. Let b(d) = -l(d) + 7*r(d). What is the second derivative of b(i) wrt i?
440
Let h = 3647 - 1165. What is the derivative of n**3 - n**3 - h + n + 27*n**4 + 2456 wrt n?
108*n**3 + 1
Let l(i) be the first derivative of -913*i**3/3 + 488*i**2 - 596. Find the second derivative of l(g) wrt g.
-1826
Differentiate -111*r - 657