 + 7*v + a*v + 18*v**3 wrt v.
108*v
Suppose 3*c + 17*c = 1000. Find the first derivative of -c*a**2 + 23*a**2 - 3*a**3 + 27*a**2 + 9 wrt a.
-9*a**2
Suppose -9*l - l + 9440 = 0. Find the second derivative of -l*d + 1783*d + 17*d**4 - 893*d - 2 wrt d.
204*d**2
Suppose 2*x + 2*n + 19 = -11, 2*x = -4*n - 40. Let p(k) = k**3 + 9*k**2 - 12*k - 6. Let y be p(x). What is the derivative of -16 + 11 + y - 10*m**3 + 13 wrt m?
-30*m**2
Let m = -79 - -57. Let r = -20 - m. Find the first derivative of 103 - 198 + 128 - 12*v**r wrt v.
-24*v
Let n be (51/21 + -3)*(-14)/4. Suppose 0 = -9*a + 4*a - t + 181, -a = n*t - 38. Differentiate 3 - 2*w - a*w + 1 - 7 with respect to w.
-38
What is the second derivative of 3394849*g**3 + 1369*g**2 - 142*g**2 - 3394848*g**3 - 11227*g wrt g?
6*g + 2454
Let a = 92 - 59. Find the second derivative of 9 + 20*m + a*m - 49*m - 13*m**2 wrt m.
-26
Let y(p) be the first derivative of 27 - 17/6*p**3 - 26*p + 15/2*p**2. Let j(u) be the first derivative of y(u). What is the first derivative of j(m) wrt m?
-17
Let t(l) be the first derivative of 1579*l**4/4 - 56*l**3/3 - 7*l**2/2 + 540. What is the third derivative of t(f) wrt f?
9474
Suppose 12*q + 0*q = 120. What is the third derivative of q*g**3 + 11*g**2 + 3*g**2 + 25*g**3 + 8*g**2 wrt g?
210
Suppose 20*m - 19*m = 28. What is the second derivative of -m*n - 60*n**2 + 39*n**2 - 37*n**2 wrt n?
-116
Let l(f) be the first derivative of -48*f + 217 - 45/2*f**2. Differentiate l(h) wrt h.
-45
Find the first derivative of 4544 - j**4 - 9*j**2 - 1851 + 2*j**2 + 230*j**3 + 3884 wrt j.
-4*j**3 + 690*j**2 - 14*j
Let d(n) be the first derivative of 438*n**5/5 + n**4/2 - 2*n**3/3 + 17*n**2 - 45*n + 4134. What is the second derivative of d(c) wrt c?
5256*c**2 + 12*c - 4
What is the first derivative of 4321*l**3 + 7430 + 222*l**3 - 833*l**3 + 4659*l**3 wrt l?
25107*l**2
Let o(r) be the second derivative of -427*r**5/20 - 557*r**2/2 + 3*r - 17. Differentiate o(j) with respect to j.
-1281*j**2
Suppose 2*w + 23 = 81. Suppose 2*n - 49 = w. What is the third derivative of -n*a**5 + 39*a**5 - 23*a**6 - 9*a**2 wrt a?
-2760*a**3
Let y(j) = 2*j**2 - 12*j - 11. Let d be y(7). Find the third derivative of 4*l**3 - 36*l**3 - 31*l**d + 11*l + 2*l + 2*l**2 wrt l.
-378
Let r = 5952 + -5952. Let a(g) be the first derivative of -6 + 4/3*g**6 + r*g**5 + 0*g**2 + 0*g**4 + 0*g + 11/3*g**3. Find the third derivative of a(u) wrt u.
480*u**2
Let s be (57/(-18) + 3/(-9))*-4. Suppose s = -2*x + 9*x. Differentiate 8*f**2 + 40*f**x - 10 - 2*f**2 with respect to f.
92*f
Let l = 9601 - 19189/2. Let t(z) be the second derivative of -l*z**2 + 7/12*z**4 + 0*z**3 - 33*z + 0. What is the first derivative of t(i) wrt i?
14*i
Let y be 1*5*(0 + (4 - 2)). Let d(p) = p**2 - 8*p - 18. Let o be d(y). Find the first derivative of -3 + 173*v**2 - 135*v**o - 12 wrt v.
76*v
Suppose -3*n + 8 = 2. Suppose -7*y + 11*y - 22 = -3*j, 0 = 2*y + 2*j - 12. Find the third derivative of -46*o**2 - 5*o**4 + 35*o**n - y*o**4 wrt o.
-216*o
Let u(h) be the third derivative of -6*h**9/7 - h**5/60 - 21*h**3 + 1528*h**2. Find the third derivative of u(w) wrt w.
-51840*w**3
Let w(h) be the first derivative of 5*h**6/6 - 15*h**4/2 + 6692*h**3/3 - 5729. Find the third derivative of w(y) wrt y.
300*y**2 - 180
Find the second derivative of -25*x**2 + 292*x + 138*x**2 + 976*x wrt x.
226
Let a be -9 + (-30)/20*-8. Let x be 50/6 + (-2)/6. What is the first derivative of 4 - 2 - a + x + 6*m wrt m?
6
Let v = -130 + 134. Find the second derivative of -918*q**3 - 14*q + 899*q**3 + v*q wrt q.
-114*q
Let f(c) = -72*c - 141. Let v(m) = 69*m + 140. Let n(b) = b**2 - b - 52. Let t be n(8). Let i(g) = t*v(g) + 3*f(g). Differentiate i(z) wrt z.
60
Suppose -2*k = q - 112, 0 = 5*k + 5*q - q - 286. Suppose 0 = -32*t + 30*t + k. Differentiate 6*r - 7 - 11*r - t with respect to r.
-5
Let z(p) be the third derivative of 2597*p**4/4 - 8741*p**3/6 - 45*p**2 - 39*p. Differentiate z(x) with respect to x.
15582
Find the second derivative of -662688*v + 662695*v - 271 - 41*v**4 + 1192*v**4 wrt v.
13812*v**2
Let p(a) be the second derivative of 167*a**4/6 - 2639*a**3/6 + 339*a. Find the second derivative of p(r) wrt r.
668
Let j = 62 + -58. Suppose 57 = 3*y - 3*l, y + 2*l = j*l + 16. Differentiate -3*h**2 + 3*h**2 - 7 - 12 + y*h**2 with respect to h.
44*h
Let c = -123 + 124. Let t = c - -4. Find the second derivative of 4 + w**5 - 11*w**2 - 6 - t - 160*w + 163*w wrt w.
20*w**3 - 22
Let i(y) = 202*y**2 - 82. Suppose -4*r = 9 - 1, 5*r + 4 = -z. Let j(a) = -67*a**2 + 27. Let u(b) = z*i(b) + 17*j(b). Find the first derivative of u(x) wrt x.
146*x
Find the third derivative of 6*b**4 + 2373*b - 9*b**2 - 34*b**6 - 6*b**2 + 5*b**4 + b**5 + 16*b**2 - 18*b**4 wrt b.
-4080*b**3 + 60*b**2 - 168*b
Let a(i) be the third derivative of -i**8/280 + i**7/105 + i**4 + 91*i**3/6 + 87*i**2. Let j(n) be the first derivative of a(n). Differentiate j(m) wrt m.
-24*m**3 + 24*m**2
Let m(k) = 56*k**2 - 9*k - 70. Let a(u) = -16*u + 27*u**2 + 113*u**2 - 28*u**2 - 139. Let h(g) = 6*a(g) - 11*m(g). What is the second derivative of h(j) wrt j?
112
Let o(v) be the first derivative of -163 + 0*v**4 + 15/2*v**2 - 125*v - 2/5*v**5 + 0*v**3. Differentiate o(l) wrt l.
-8*l**3 + 15
Let b(l) = 6*l**2 - 6*l - 3. Let a = 9 - 6. Let r be b(a). What is the second derivative of -14*o**5 - 20*o + 65*o - r*o wrt o?
-280*o**3
Let j(f) be the first derivative of 243*f**3 + 3*f**2 - 1707*f - 8116. What is the first derivative of j(n) wrt n?
1458*n + 6
Let k = 1275/11 + -25467/220. Let c(l) be the third derivative of 1/2*l**4 + k*l**5 + 0 + 0*l**3 + 0*l + 14*l**2. Find the second derivative of c(i) wrt i.
18
Let t(y) be the first derivative of 442*y**3 - 1166*y - 663. What is the first derivative of t(b) wrt b?
2652*b
Find the second derivative of -2 + 1257*i + 2188*i**2 - 2412*i**2 - 5635*i**2 + 2 wrt i.
-11718
Let h(o) be the second derivative of 3*o**8/8 + 2*o**6/15 - 3*o**5/20 + 17*o**4/4 + 33*o**2/2 + 16*o + 20. Find the third derivative of h(u) wrt u.
2520*u**3 + 96*u - 18
Suppose 3*v + n - 327 = 0, n + 434 = 4*v + 3*n. What is the derivative of -50 - 27*k**4 + v - 62 wrt k?
-108*k**3
Let f(p) be the second derivative of -203/12*p**4 + 0*p**3 + 0*p**2 - 23/6*p**7 - 74*p + 0*p**6 - 2 + 0*p**5. Find the third derivative of f(t) wrt t.
-9660*t**2
Differentiate -33607*t + 93 + 34718*t + 129 wrt t.
1111
Suppose -2 = -5*s + 4*s. Suppose 3*k - 6 = 0, 0*i + 2*k + 6 = s*i. Find the third derivative of 16*w**i - 6*w**2 + 2*w**2 + 25*w**2 - 12*w**2 wrt w.
960*w**2
Let v be 4*(-2)/6*(-108)/72. Suppose -u = v*r - r - 13, -5*r + 9 = u. Find the first derivative of 14*p**2 + 4*p**3 - 11 - u*p**2 + 0*p**3 wrt p.
12*p**2
Let t(p) = -34*p**2 - 3*p - 45. Let v(g) = 36*g**2 + 4*g + 45. Suppose -5 = -2*n + 3. Let x(q) = n*t(q) + 3*v(q). Find the first derivative of x(r) wrt r.
-56*r
Let v(g) = 10095*g + 276. Let h(o) = 10096*o + 281. Let a(s) = -8*h(s) + 9*v(s). What is the derivative of a(b) wrt b?
10087
What is the second derivative of -3*d**5 - 7566*d - 412896*d**4 + 412790*d**4 + 2016*d wrt d?
-60*d**3 - 1272*d**2
Let i(x) = -3056*x**3 - 12682*x**2 - 9*x. Let k(h) = -1521*h**3 - 6341*h**2 - 4*h. Let w(z) = 4*i(z) - 9*k(z). Find the third derivative of w(b) wrt b.
8790
Let v(w) be the third derivative of -4*w**2 + 0*w**6 + 17/70*w**7 + 0*w**5 - 7/12*w**4 + 0*w**3 + 0 + 0*w. Find the second derivative of v(o) wrt o.
612*o**2
Find the first derivative of -214*w**3 - 258*w**3 - 1576 - 414*w**3 + 78*w**3 + 90*w**3 - w**2 wrt w.
-2154*w**2 - 2*w
Suppose 0 = -2*b + 2*l + 52, 2*l - 12 = -l. What is the second derivative of -6 + 5*v**2 - 15*v**2 - b*v**2 - 4*v**2 - 3*v wrt v?
-88
Let n(b) be the second derivative of -17/4*b**5 + 2*b + 133/12*b**4 + 0*b**2 - 18 + 0*b**3. What is the third derivative of n(r) wrt r?
-510
Let j be 962/182 + 2/(-7) + 401. Differentiate -93 + j*p - 404*p - 33*p**3 + 19 wrt p.
-99*p**2 + 2
What is the first derivative of -199*j**3 + 311*j**3 - 2*j - 22149*j**2 + 294*j**3 + 22150*j**2 + 6433 wrt j?
1218*j**2 + 2*j - 2
Let v(g) = 4*g**3 + g**2 - 2*g + 2. Let n(q) = 144*q**3 + q**2 - 2*q - 687. Let t(f) = 3*n(f) - 3*v(f). Differentiate t(d) wrt d.
1260*d**2
Let k(p) be the second derivative of 1043*p**5/20 + 521*p**2 - 24*p + 4. Wh