- 3*y + 1. Let l(w) = b(w) - f(w). What is the first derivative of l(n) wrt n?
-1188*n**3
Let o(p) be the second derivative of -1007*p**7/42 + 953*p**4/12 + 1327*p. Find the third derivative of o(y) wrt y.
-60420*y**2
Let v be (-3)/(-9) + 2/(-6). Suppose -6*o + 7*o - 34 = v. Find the first derivative of -7*b**3 - 6*b**3 - o + 46 wrt b.
-39*b**2
Let x(g) be the first derivative of 1891*g**7 - 13511*g**3/3 + 10416. What is the third derivative of x(p) wrt p?
1588440*p**3
Let w(v) = -6128*v**3 + 15*v**2 - 286*v - 5. Let f(i) = 18384*i**3 - 42*i**2 + 858*i + 15. Let c(n) = 6*f(n) + 17*w(n). Find the third derivative of c(j) wrt j.
36768
Let n(z) be the third derivative of -z**6/60 - 43*z**5/30 - 653*z**4/8 - z**2 + 77*z. What is the second derivative of n(g) wrt g?
-12*g - 172
Suppose 0 = -7*k + 300 - 293. Let y(t) = 253*t - 14. Let a(m) = 6*m. Let u(q) = k*y(q) - 2*a(q). What is the derivative of u(w) wrt w?
241
Suppose -165*n = -161*n - 888. What is the second derivative of -176*r + n*r + 48*r**3 - 12*r**3 wrt r?
216*r
Differentiate -1393*q - 1183*q - 1972 + 1085*q - 1795*q - 117*q wrt q.
-3403
Suppose 0 = 4*q + 31 - 71. Suppose q = 3*v + 4. Find the second derivative of -6*h - 1863*h**2 - 19*h + 1897*h**v wrt h.
68
What is the first derivative of 1031*i**2 + 10*i - 2129*i**2 + 1096*i**2 + 0*i**3 + 0*i**3 - 1150 - 19*i**4 wrt i?
-76*i**3 - 4*i + 10
Let t(l) = -532*l**3 - 19*l**2 + 2*l - 65. Let o(h) = h**3 + h - 2. Let g(x) = -2*o(x) + t(x). Find the third derivative of g(i) wrt i.
-3204
What is the first derivative of -821*f**2 + 1078 + 8*f - 167*f**2 - 17*f + 9*f wrt f?
-1976*f
Let p(h) = 99*h**2 - 2*h + 9. Let k be p(2). What is the second derivative of 84*o**4 + 7*o + k + 2*o - 399 wrt o?
1008*o**2
Let m(g) = -9*g - 95. Let q be m(-24). What is the first derivative of -5 - 16*j**3 + 31 - q - 3*j**2 wrt j?
-48*j**2 - 6*j
Let v(o) = 3*o + 3. Let i = -31 + 35. Let b be v(i). What is the second derivative of 13*s**5 + 9*s**5 + b*s - 6*s + 6*s wrt s?
440*s**3
Let j(t) be the second derivative of 23*t**6/60 + 5*t**3/3 + 10*t**2 + 86*t. Let l(w) be the first derivative of j(w). Differentiate l(x) with respect to x.
138*x**2
Suppose -4*o - s + 9 = 0, -o - 5*s - 14 + 2 = 0. Find the third derivative of -32*h**3 - 23*h**o + 2*h**4 - 56*h**2 + 78*h**2 wrt h.
48*h - 330
Find the third derivative of 8 - z**2 - 39714*z**4 + 2 - 13*z + 39718*z**4 - 15*z**5 + 10*z**3 wrt z.
-900*z**2 + 96*z + 60
Let o be ((-28)/8)/(0 - (-1)/(-6)). What is the third derivative of 239618*b**3 - o*b**4 - 72*b**2 - 239618*b**3 wrt b?
-504*b
Suppose 4*r - 80 = 8*r. Let i = -15 - r. What is the second derivative of -4*y**4 + 2*y + 13*y**4 + i*y wrt y?
108*y**2
What is the second derivative of -5*f**3 - 747411*f + 753650*f - 8665*f**5 + 5*f**3 wrt f?
-173300*f**3
Differentiate -1709*g**2 + 941*g**3 + 416*g**3 - 85 - 1311 + 1709*g**2 with respect to g.
4071*g**2
Let a(h) be the third derivative of -397*h**7/14 + 1435*h**4/8 + 2939*h**2 + h. What is the second derivative of a(i) wrt i?
-71460*i**2
Let v(p) = -8*p + 66. Let k be v(8). Find the first derivative of -34 + 0*c**2 - 18*c**3 + 3*c**2 - 48 - c**k wrt c.
-54*c**2 + 4*c
Let m(l) = l**5 - l**4 + l**2 + 3*l - 1. Let q(v) = 7*v**5 + 55*v**4 - 1492*v**2 + 12*v - 4. Let i(o) = -4*m(o) + q(o). Find the third derivative of i(g) wrt g.
180*g**2 + 1416*g
Find the third derivative of 41391*s**4 - 2004*s**6 - 41391*s**4 + 1176*s**2 wrt s.
-240480*s**3
Suppose -3*f - f = -3*b - 23, f = -3*b - 28. Let j = -6 - b. What is the derivative of 7 - 11 + 33*g**j + 13 + 16 wrt g?
99*g**2
Let t be 2 + -8 + (-56)/(-7). Let o(a) be the first derivative of 14 + 0*a**3 + 0*a + 7/2*a**4 + 3*a**t. What is the second derivative of o(i) wrt i?
84*i
Let a(j) = -4*j**4 + 14*j**3 - 499*j**2 - 7*j - 2471. Let x(u) = u**4 - 4*u**3 + 166*u**2 + 2*u + 823. Let w(g) = -2*a(g) - 7*x(g). Differentiate w(z) wrt z.
4*z**3 - 328*z
Let s(j) be the third derivative of -1/6*j**8 + 0 + 35*j**2 + 15/2*j**3 + 0*j + 0*j**5 + 0*j**7 + 0*j**6 - 1/12*j**4. Find the second derivative of s(w) wrt w.
-1120*w**3
Let z(w) be the first derivative of -184/3*w**3 + 0*w + 312 - 115*w**2. Find the second derivative of z(f) wrt f.
-368
Suppose 0*u = 3*u - 3*t - 3, 5*u - 37 = -3*t. Let j(f) = 2*f**2 + f. Let h(v) = -67*v**2 + 5*v - 5. Let p(l) = u*j(l) - h(l). Differentiate p(o) wrt o.
154*o
Let k be (-36)/10*195/(-78). What is the third derivative of -d**5 + 37*d**2 - 7*d**6 + k*d**5 - 169*d**2 wrt d?
-840*d**3 + 480*d**2
Let z be 15/9*(-144)/(-80). Find the third derivative of -5*r - 2*r**2 - 13*r + 7*r**2 - 4*r**2 + 4*r**2 - 109*r**z wrt r.
-654
Suppose 17 = 17*u - 17. What is the first derivative of 14 + 67*s**u + 9*s**2 + 3*s**2 + 25 wrt s?
158*s
Let v(y) be the third derivative of 0*y**6 + 0*y**4 - 139/210*y**7 + 185/6*y**3 + 0*y - 10*y**2 + 2 + 0*y**5. Differentiate v(d) with respect to d.
-556*d**3
Let i(q) = 25*q**3 + 32*q**2 + 5*q - 128. Let u(c) = 74*c**3 + 95*c**2 + 13*c - 385. Let j(o) = 8*i(o) - 3*u(o). What is the derivative of j(m) wrt m?
-66*m**2 - 58*m + 1
Let c be 2/5 - 3/(90/(-258)). What is the second derivative of -c*g - g + 3 + g**3 - 8*g**4 + 73*g**4 + 9*g**4 wrt g?
888*g**2 + 6*g
Let l(k) be the second derivative of -643*k**5/5 + 1348*k**3/3 - k - 526. Find the second derivative of l(m) wrt m.
-15432*m
Let y(w) be the second derivative of -397*w**4/6 - 281*w**3/2 - w**2/2 - 2920*w + 2. What is the second derivative of y(c) wrt c?
-1588
Let u = 11 - -25. Let s = 5 + 0. Find the third derivative of -u*d**2 - 41*d**2 + 68*d**2 + d**s wrt d.
60*d**2
Let s = 2342 - 2340. Suppose -2*m + 3*p = -2*p + 9, -4*m - 2*p = -18. What is the third derivative of 4*r**5 - r**2 + m*r**s - 6 + 6 wrt r?
240*r**2
Let q(n) be the first derivative of -1311*n**4/2 - 2*n**3/3 - 1079*n**2/2 - 3918. Find the second derivative of q(d) wrt d.
-15732*d - 4
What is the first derivative of 3426*m**2 + 1956*m**2 + 1014*m**2 + 1301*m**2 + 569*m**2 + 13378 wrt m?
16532*m
Let l(p) be the first derivative of 7 - p + 1/2*p**2. Let t(c) = -2*c + 8. Let s(u) = 2*l(u) - t(u). What is the derivative of s(x) wrt x?
4
Let v be 480/(-420)*(-14)/4. What is the derivative of 74 + 33 + 124 + 2*a**v + 36*a**2 + 28 wrt a?
8*a**3 + 72*a
What is the third derivative of -19*q**6 - 108*q**5 + 313*q + 61*q**2 + 110*q**5 + 276*q**5 - 62*q**2 wrt q?
-2280*q**3 + 16680*q**2
Suppose 18*b + 20 = 74. Suppose -3*s - 23 = -4*a, 0 = -b*a + s - 5 + 16. What is the second derivative of -3*m**5 - 31*m + a*m - 16*m wrt m?
-60*m**3
Let u(v) = 121*v**3 - 13*v**2 + 13*v + 73. Let d(o) = -2*o**3 + 6*o. Let l(k) = -5*d(k) + u(k). What is the second derivative of l(g) wrt g?
786*g - 26
What is the third derivative of 36*g + 22*g**2 - 2*g**2 - 4582*g**6 - 1377*g**6 + 1889*g**6 wrt g?
-488400*g**3
Let f be 2/(-4)*4/16*8. Let v(p) = -p**3 + 1. Let o(x) = 65*x**3 + 84. Let r(i) = f*o(i) - 4*v(i). Differentiate r(k) with respect to k.
-183*k**2
Find the first derivative of 3*t**2 + 8906 - 1523*t + 8275 - 24204 wrt t.
6*t - 1523
Let f(l) be the first derivative of 195*l**4/4 - l**3 - 9*l**2/2 + 204*l - 191. What is the second derivative of f(o) wrt o?
1170*o - 6
Let w(h) = h**4 + h**2 + 1. Let d(y) = 55*y**4 - 3*y**2 - 46. Let b = -203 - -204. Let a(l) = b*d(l) + 3*w(l). Differentiate a(s) with respect to s.
232*s**3
Find the third derivative of -3645*q**2 - 11158 - 6764*q**4 + 747*q**2 + 11158 - 339*q**4 wrt q.
-170472*q
Let c(z) = z**3 - 9*z**2 - z + 16. Let x be c(0). Differentiate -235*b**2 - 27 + 19 + 80 - x*b**2 with respect to b.
-502*b
Let t be ((-8)/4)/(6/(-99)). Let q be (-8)/(-12)*(t + 0). What is the first derivative of -q*v**2 - 15*v**2 + 43*v**2 - 16*v**2 + 15 wrt v?
-20*v
Suppose -9*k + 13*k = 16. Let w be k - (-14 + 17 - (1 - -1)). Find the third derivative of 13*r**2 + 13*r**2 - 30*r**2 - 35*r**w wrt r.
-210
Let c(x) be the third derivative of 2 - 45*x**2 + 0*x**5 + 3*x**3 + 3/8*x**4 + 1/20*x**6 + 0*x. Differentiate c(u) with respect to u.
18*u**2 + 9
Let f = 1994 + -1992. Let s(b) be the third derivative of 7/30*b**5 + 5/12*b**4 - 13*b**f + 0*b + 0 + 0*b**3. Find the second derivative of s(r) wrt r.
28
Let k(d) be the third derivative of 2413*d**6/120 + 1907*d**4/24 - 16*d**2 - 39*d. What is the second derivative of k(n) 