-336
Differentiate 562*z**2 + 5615 + 1291*z**2 + 2702 wrt z.
3706*z
Let z(i) = -i**2 + 3*i + 21. Let b be z(6). Find the first derivative of -59*m**3 - 7*m**3 + 4*m**3 + 59 + 6*m**b wrt m.
-168*m**2
What is the second derivative of 436 - 202 + 1778*d**2 - 4196*d - 234 wrt d?
3556
Let r(f) be the second derivative of 2*f - 4 - 163/2*f**2 - 35/6*f**3. What is the first derivative of r(s) wrt s?
-35
What is the derivative of -4*t**4 + 95 - 2*t**4 + 1 + 4*t**4 + 359*t**3 + 47*t**3 wrt t?
-8*t**3 + 1218*t**2
Suppose 811 = 5*z - 2*l - 2*l, l = 2*z - 325. What is the derivative of -3 + 1 - 1 + 67*s + z*s + 0 wrt s?
230
Let i(p) be the first derivative of 249*p**2/2 + 1052*p - 1136. What is the first derivative of i(a) wrt a?
249
Let r = 76 + -72. Let w(s) be the first derivative of 43/2*s**2 + 5*s**r + 0*s**3 - 22 + 0*s. Find the second derivative of w(a) wrt a.
120*a
Differentiate 2091*z**2 - 1746 - 4282*z**2 + 2*z**4 + 2140*z**2 wrt z.
8*z**3 - 102*z
Let v(t) = 50*t**3 + 1672*t**2 - 4142. Let w(g) = -12*g**3 - 418*g**2 + 1036. Let l(o) = -4*v(o) - 17*w(o). What is the derivative of l(p) wrt p?
12*p**2 + 836*p
Let a be (-4)/(-1)*1/2. What is the second derivative of -30*j**2 - 161*j - 104*j - 162*j**a wrt j?
-384
Let q be (-3 - 1552/(-4)) + 3. Suppose 19*p - q = 17*p. Find the second derivative of -72*h - 100*h + p*h - 11*h**5 wrt h.
-220*h**3
Let w(i) be the second derivative of 23/6*i**3 + 0 - 3*i - 2*i**2. Differentiate w(s) wrt s.
23
Let p(c) be the second derivative of 3073*c**4/4 + 1511*c**2/2 - 91*c - 3. What is the derivative of p(u) wrt u?
18438*u
Let w(j) be the second derivative of -1684*j**5/5 - j**4/6 + 11*j**3 + 7027*j. Find the third derivative of w(q) wrt q.
-40416
Find the second derivative of -886*y - 1 - 35*y**4 - 32*y**3 - 49*y**3 + 1 + 87*y**3 wrt y.
-420*y**2 + 36*y
Let z(x) be the third derivative of 0*x**3 - 56 - 3*x**2 + 17/2*x**4 + 0*x - 51/20*x**5. What is the second derivative of z(q) wrt q?
-306
Suppose 3*c + 12 = 0, -2*j + 2*c - 134 - 146 = 0. Let a be 4/(-5) - j/30. What is the third derivative of 6 + 2 + 12*z**2 - 27*z**a - 8 wrt z?
-648*z
Let h(w) = w**3 - 13*w**2 - 12*w - 26. Let s be h(14). What is the second derivative of -98*x**s - 210*x + 27*x - 52*x + 65*x wrt x?
-196
Let x(f) be the second derivative of 1501*f**4/12 - 163*f**2 - f - 199. Differentiate x(q) wrt q.
3002*q
What is the third derivative of 16*r**3 - 2825*r**2 - 531*r**2 + 56*r**6 - 1243*r**2 + 33*r**6 - 2 + 961*r**2 wrt r?
10680*r**3 + 96
Suppose 21*m - 30 = 12. What is the second derivative of -3*d**2 + 12*d + 30*d**m + 13*d - 20*d + 18*d**2 wrt d?
90
Find the third derivative of -11252*s**4 + 4*s**3 + 1406*s**2 + 12161*s**4 - 3*s**3 wrt s.
21816*s + 6
Let b be 2150/3400 - (-8)/68*1. Let m(c) be the second derivative of -c + b*c**5 + 0 + 0*c**2 + 0*c**4 - 11/3*c**3. What is the second derivative of m(n) wrt n?
90*n
Let k be (65/39)/((-5)/(-18)). Find the third derivative of -11*i**2 - 35*i**k - 10*i + 5*i**2 + 5*i**2 wrt i.
-4200*i**3
Find the third derivative of 5526*n**2 - 252*n**5 - 5728*n**2 + 54*n**5 wrt n.
-11880*n**2
Let w(p) be the third derivative of 29/6*p**3 + 2*p**2 + 25/24*p**4 + 8*p + 0. Find the first derivative of w(n) wrt n.
25
Let w(k) be the second derivative of 8229*k**5/20 - 647*k**4/12 + k**3/3 - 7482*k. What is the third derivative of w(h) wrt h?
49374
Let b(h) = h**2 + 4*h + 2. Let x be b(-4). What is the third derivative of -20*a**2 + 46*a**4 + 2*a**2 - 128*a**4 + 8*a**x wrt a?
-1968*a
Find the third derivative of -55*q**3 - 6 - 24*q - 41*q - 3*q**2 + 420*q**3 + 3 + 5*q wrt q.
2190
Let y(h) be the first derivative of -543*h**5/5 + 1223*h**2/2 - 1574. Find the second derivative of y(n) wrt n.
-6516*n**2
Let c(j) be the third derivative of 644*j**5/15 + j**4/12 - 488*j**3 + 2*j**2 - 326. Differentiate c(g) wrt g.
5152*g + 2
Let g(b) be the third derivative of -b**7/105 - 173*b**5/60 - 617*b**4/8 - b**2. What is the second derivative of g(t) wrt t?
-24*t**2 - 346
Let f(c) be the first derivative of 0*c**4 - 25 + 0*c + 0*c**2 - 16*c**3 + 54/5*c**5. Find the third derivative of f(u) wrt u.
1296*u
Suppose -5*f + 33 = 13. Let t be (-17 + 7)*f/(-8). Find the first derivative of -41 + 3*d**2 + 19*d - 17*d - t*d wrt d.
6*d - 3
Let d(u) be the first derivative of -u**7/7 + 465*u**4/2 - 2134*u**3/3 - 2493. What is the third derivative of d(f) wrt f?
-120*f**3 + 5580
Let v be (-18)/45 + 104/10 + -1. What is the second derivative of -v*k**3 - 2*k - 4 + 9*k + k wrt k?
-54*k
What is the third derivative of -3*b**3 + 27*b**3 - 10*b**5 + 3*b - b**5 + 1 - 3 - 592*b**2 + 286*b**3 wrt b?
-660*b**2 + 1860
Suppose -5*q - 298 + 43 = 0. Let b = q - -52. Differentiate -24*w**4 + b - 20 + 17*w**4 wrt w.
-28*w**3
Let h(i) be the third derivative of 457*i**7/210 + 413*i**3/6 + 143*i**2. What is the derivative of h(w) wrt w?
1828*w**3
Suppose -7*g - 16 = -30. Find the second derivative of 30*j**2 + 43*j - 99*j**g + 78*j wrt j.
-138
Find the third derivative of 390*q**3 - 325 + 2100*q**3 + 1594*q**3 - 3*q**2 + 288 - 866*q**3 wrt q.
19308
Let i = 152 - -2. What is the third derivative of i*z**6 - 288*z**2 + 7*z**2 + 86*z**6 wrt z?
28800*z**3
Let t(k) = 554*k**3 + 5*k**2 - 84*k - 6. Let u(p) = -548*p**3 - 4*p**2 + 86*p + 5. Let j(f) = 4*t(f) + 5*u(f). What is the second derivative of j(z) wrt z?
-3144*z
Let v(k) = -k**2 - 5*k + 26. Let m be v(-8). What is the third derivative of m*n**3 + 8*n**3 - 2*n**3 - n**2 + 14 - n**2 wrt n?
48
Let w(z) be the second derivative of -z**4/12 + 2797*z**3/3 + 3973*z**2/2 + 324*z + 10. Find the first derivative of w(g) wrt g.
-2*g + 5594
Let i = 219 - 214. Let q(l) = -l**2 + l. Let s(t) = 32*t**3 + 5*t**2 - 5*t + 9. Let m(a) = i*q(a) + s(a). Differentiate m(z) with respect to z.
96*z**2
Let r(h) be the second derivative of 11*h**7/21 + 445*h**4/4 - 235*h. What is the third derivative of r(b) wrt b?
1320*b**2
Let s(i) be the first derivative of i**5/20 - 23*i**3/6 - 13*i**2/2 - 11*i - 38. Let m(f) be the first derivative of s(f). Differentiate m(g) with respect to g.
3*g**2 - 23
Suppose -5*d = -8 - 182. Differentiate -d*n + 99 + 23*n - 52 - 33*n wrt n.
-48
Let f(i) = 204*i**4 + 6*i**2 - 1957*i + 6. Let k(w) = -802*w**4 - 23*w**2 + 7828*w - 23. Let c(r) = -23*f(r) - 6*k(r). Find the second derivative of c(o) wrt o.
1440*o**2
Let g(m) be the first derivative of -783*m**4/4 + 328*m - 964. Differentiate g(b) with respect to b.
-2349*b**2
Let f(s) = 85*s + 6. Let l be f(2). Suppose 3*p - l = -p. What is the first derivative of i**3 + 17 + 44*i - p*i wrt i?
3*i**2
Find the second derivative of 7576668*w**3 - 1590*w**4 - 7576668*w**3 - 60*w - 3 wrt w.
-19080*w**2
Let j(c) = -435*c**3 - 1646*c + 16. Let u(f) = -3046*f**3 - 11523*f + 120. Let y(o) = -30*j(o) + 4*u(o). What is the second derivative of y(x) wrt x?
5196*x
Let i(f) = 2150*f**2 - 5*f - 2827. Let z(h) = -3*h**2 - h - 1. Let n(u) = 2*i(u) - 10*z(u). Find the first derivative of n(x) wrt x.
8660*x
Let x(b) be the third derivative of -80*b**2 + 0*b**6 + 0 + 0*b**5 + 0*b**3 - 79/210*b**7 + 0*b - 137/24*b**4. Find the second derivative of x(t) wrt t.
-948*t**2
Let q(k) = -4584*k + 10299. Let d(y) = 41263*y - 92689. Let v(c) = 6*d(c) + 53*q(c). What is the derivative of v(f) wrt f?
4626
Let g be 72/33 - 8/44. Let i(w) = 2*w**3 + 3*w**2 - w - 4. Let j be i(g). What is the first derivative of -j*x + 11*x + 22*x + 9 wrt x?
11
Let p(c) = 2*c**2 + 1. Let j(x) = 6*x**2 + 2*x + 54. Let i = 81 - 80. Let r(a) = i*j(a) + 3*p(a). What is the derivative of r(v) wrt v?
24*v + 2
What is the third derivative of 52*p**2 - 189*p**2 - 287*p**2 + 8*p**4 + 3*p**5 wrt p?
180*p**2 + 192*p
Let y(j) = 25*j - 24*j + 5 + 0. Let p be y(0). What is the third derivative of 12*h**5 - 3*h**5 - h**p + 10*h**2 wrt h?
480*h**2
Let z = 56 + -62. Let w = z + 8. What is the third derivative of 488*o**3 - 488*o**3 - 9*o**6 + 7*o**w wrt o?
-1080*o**3
Let y(t) be the first derivative of -1574*t**6 + 30*t**3 + 10*t**2 - 2*t - 9251. Find the third derivative of y(r) wrt r.
-566640*r**2
Let t(z) be the second derivative of -7597*z**5/20 + z**4/12 + 91*z**3/6 + z**2/2 + 7108*z. What is the second derivative of t(q) wrt q?
-45582*q + 2
Let a(r) be the first derivative of -60 + 18*r**3 - 117/2*r**2 + 0*r. Find the sec