v + 0*v**3 + 0 + z*v**4. What is the derivative of d(y) wrt y?
-54*y**2
Suppose 0 = r, -24*n + 3*r = -21*n - 207. Find the second derivative of 120*y**2 - y + 95 + 31 - n wrt y.
240
Differentiate 6*j**3 + 20*j**3 - 375*j**2 - 1115 - 2340 + 6241*j**2 - 25*j**3 with respect to j.
3*j**2 + 11732*j
Let z(a) be the third derivative of 0 + 0*a - 10*a**2 + 13/6*a**3 + 29/24*a**4. Differentiate z(x) with respect to x.
29
Differentiate -247*c**3 - 121*c**2 + 33*c**2 + 5572 + 227*c**3 + 2*c**4 - 8*c**2 wrt c.
8*c**3 - 60*c**2 - 192*c
Let o(n) be the first derivative of -41/3*n**3 + n**2 - 4*n**4 - 195 + 0*n. What is the third derivative of o(r) wrt r?
-96
Let a(p) be the first derivative of 5181*p**7/7 - 71*p**3 - p**2 + p + 3328. What is the third derivative of a(b) wrt b?
621720*b**3
Find the third derivative of -75648*w**2 - 12439*w**3 + 63045*w**2 - 4981*w**3 + 4352*w**3 wrt w.
-78408
Let a be 6/4 + 936/16. Differentiate 85*m**2 - 75*m**2 + a*m**3 + 184 + 6*m**4 - 60*m**3 wrt m.
24*m**3 + 20*m
Let s(z) = z**2 + 8*z + 10. Let k be -7*(-5)/(-25)*5. Let a be s(k). What is the second derivative of j**3 - a*j - 6*j**3 - 4*j**3 wrt j?
-54*j
Let x(k) be the third derivative of -22*k**7/105 + k**6/24 + k**5/30 + 263*k**4/4 - 6561*k**2. Find the second derivative of x(o) wrt o.
-528*o**2 + 30*o + 4
Suppose 4*v = 0, -4 = -k + 3*k - 4*v. Let n be -1 + (-3)/6*k. Differentiate -12 - 8*l + 0*l - 9*l + n*l with respect to l.
-17
Let h(a) = -207*a**4 - 192*a**2 + 25*a - 5. Let n(x) = 310*x**4 + 288*x**2 - 35*x + 7. Let y(i) = -7*h(i) - 5*n(i). What is the third derivative of y(w) wrt w?
-2424*w
What is the second derivative of -3923*m - 12*m**4 - m**3 + 12*m**4 - 76*m**5 - 3829*m - 9*m**2 wrt m?
-1520*m**3 - 6*m - 18
Let x(q) be the third derivative of -409*q**4/24 - 261*q**3/2 + 1390*q**2. Differentiate x(b) with respect to b.
-409
Let r(d) = -154*d**2 + 22*d - 3. Let f(a) = -153*a**2 + 22*a - 3. Let p = 881 + -883. Let z(c) = p*r(c) + 3*f(c). What is the second derivative of z(t) wrt t?
-302
Let x(g) be the first derivative of 40 + 1/2*g**2 + 0*g + 0*g**4 + 0*g**5 - 134/7*g**7 + 0*g**6 - 145/3*g**3. What is the third derivative of x(v) wrt v?
-16080*v**3
Let n(m) be the first derivative of -1/2*m**2 + 8*m + 211/3*m**3 - 48. Find the second derivative of n(z) wrt z.
422
Let q(h) be the third derivative of -5*h**6/24 - 1643*h**3/3 + 3026*h**2. What is the first derivative of q(j) wrt j?
-75*j**2
Let g(f) be the third derivative of -f**5/30 - 353*f**4/24 + 109*f**3/3 - 352*f**2. What is the first derivative of g(h) wrt h?
-4*h - 353
Find the third derivative of 542*b**2 - 2172976*b + 439*b**4 + 2172977*b + 3229*b**4 wrt b.
88032*b
Find the second derivative of -6464*n**2 + 13599*n - 2 + 1264*n**2 - 12192*n wrt n.
-10400
Let w(z) be the first derivative of 54 + 2*z + 7/2*z**2 + 91/3*z**3. Find the second derivative of w(p) wrt p.
182
Let m be (3 + -3)/(4 + -2). Suppose -2*r + 5 + 5 = -w, m = -3*r + w + 13. What is the derivative of -3*t**3 + 11 - 3 + 31*t**r + 24 wrt t?
84*t**2
What is the third derivative of -1 + 2911*j**3 + 1 + 1051*j**2 - 5613*j**3 + 473*j**2 wrt j?
-16212
What is the second derivative of -31*o**2 - 3*o + 51*o**2 + 174 - 1153 + 2272*o**5 - 19*o**2 wrt o?
45440*o**3 + 2
Suppose -6*k + 9 = -3. Suppose v + 18 = 4*m, 2*m - 3*v = v + k. What is the third derivative of 299*z**m + 10*z**2 - 11*z**6 - 299*z**5 wrt z?
-1320*z**3
What is the derivative of 30432*n + 1878 + n**4 + 30916*n - 60504*n wrt n?
4*n**3 + 844
Let n(y) = -455*y**3 - 2462. Let s(l) = 453*l**3 + 2462. Let k(m) = 5*n(m) + 4*s(m). What is the first derivative of k(c) wrt c?
-1389*c**2
Let r(p) = 33*p**4 + 32*p**2 - 261*p - 10. Let f(q) = q**5 - 3*q**2 + q. Let n(o) = 2*f(o) + r(o). What is the second derivative of n(x) wrt x?
40*x**3 + 396*x**2 + 52
Let j(i) be the first derivative of 627*i**6/2 + 4*i**3/3 + 28*i**2 + 427. What is the third derivative of j(u) wrt u?
112860*u**2
Suppose -4*y + 15*y = 132. What is the derivative of -y*h**3 + 0*h + 0*h + 102 - 13*h**3 - 90*h**3 wrt h?
-345*h**2
Let q(r) be the first derivative of 9*r**6/5 + r**5/10 + 135*r**2/2 - 42*r - 2. Let m(t) be the first derivative of q(t). Differentiate m(z) wrt z.
216*z**3 + 6*z**2
Suppose -2*r + 8 = 0, -2*r + 4*r - 14 = -2*p. Find the third derivative of -3*g + g**2 - g**6 - 28*g - 6*g**3 - 5*g**2 + 6*g**p + 150*g**4 wrt g.
-120*g**3 + 3600*g
Suppose -10*g = 6*g - 32. What is the first derivative of -31*x - x**g + 75 + 15*x**2 + 32*x wrt x?
28*x + 1
Let s(n) = -13*n + 16. Suppose 0 = 2*g - g - 32. Suppose 3*p - g = -5*p. Let x(h) = -4*h + 5. Let f(a) = p*s(a) - 11*x(a). Differentiate f(t) wrt t.
-8
Differentiate -1341*k + 265 - 65 + 283 + 431 + 113 with respect to k.
-1341
What is the first derivative of 82 + 2142*q**3 - 1872 - 119*q**3 wrt q?
6069*q**2
Find the third derivative of -1513 + 15*w**2 + 990 - 593*w**5 - 14*w**2 wrt w.
-35580*w**2
Let i(x) = 140*x**2 - 190*x**2 + 21 + 92. Let s(g) = -100*g**2 + 223. Let h(p) = -5*i(p) + 2*s(p). Differentiate h(l) with respect to l.
100*l
Let x = -17 - -45. Let u be 110/35 + ((-36)/(-21))/2. What is the second derivative of x*s**u - 4*s - 6*s - 8*s**4 - 2*s wrt s?
240*s**2
Let z(x) = 2*x**3 - x + 1. Let u(f) = -7*f**3 - 181*f + 2881. Let l(m) = -u(m) - 2*z(m). What is the first derivative of l(s) wrt s?
9*s**2 + 183
Find the second derivative of -7252*s**2 - 3777*s - 2 + 508*s - 875*s + 2873*s**2 wrt s.
-8758
Let r(w) be the second derivative of 41*w**8/84 - 11*w**5/3 - 50*w**2 - 77*w. Let q(f) be the first derivative of r(f). Find the third derivative of q(n) wrt n.
9840*n**2
Let h(t) be the first derivative of -151*t**5/20 - 149*t**2/2 - 31*t - 130. Let q(g) be the first derivative of h(g). What is the derivative of q(w) wrt w?
-453*w**2
Let s(q) = 1703*q**3 - 149*q**2 - 35*q - 10. Let l(g) = -1135*g**3 + 100*g**2 + 25*g + 7. Let u(f) = -7*l(f) - 5*s(f). Find the third derivative of u(k) wrt k.
-3420
Differentiate -22*x**2 + x**2 + 773 - 8*x**2 + 39*x**2 + 59*x**2 - 10*x with respect to x.
138*x - 10
Let d = -23826 - -23828. Let c(u) be the first derivative of 37 + 0*u**3 + 15/2*u**4 - 17*u + 0*u**d. What is the derivative of c(w) wrt w?
90*w**2
Let r(q) be the third derivative of 299*q**8/112 + q**6/120 - 19*q**5/60 + 7*q**4/12 - 4*q**2 - 85. Find the third derivative of r(l) wrt l.
53820*l**2 + 6
Suppose -4*l = -3*i + 123, -l - 5*i = -3 + 5. Let d = -17 - l. Find the second derivative of -11*s + d*s**4 - 3*s**4 - 4*s**4 + 33*s wrt s.
36*s**2
Let b(m) = m**3 - 2*m - 9. Let l(j) = -1614*j**3 - 162*j + 83. Let c(f) = -9*b(f) - l(f). What is the second derivative of c(a) wrt a?
9630*a
Suppose 51*m = 21*m + 2100. What is the third derivative of 6*y**2 - 3*y**2 - m - 2*y**5 + y**5 + 76*y**6 + 54 wrt y?
9120*y**3 - 60*y**2
What is the second derivative of -72*n**2 + 3818*n**3 - 65*n + 73*n + 72*n**2 + 103*n + 1 wrt n?
22908*n
Let c(j) be the third derivative of 2*j**2 - 50*j + 0*j**6 + 0*j**3 + 2/105*j**7 - 2/15*j**5 + 5/24*j**4 + 0. What is the third derivative of c(g) wrt g?
96*g
Let r(a) = -240*a**2 - 364*a + 3. Let p(g) = 3*g**2 - 2*g + 1. Let l(n) = 3*p(n) - r(n). What is the second derivative of l(c) wrt c?
498
What is the second derivative of 206*g + 3 + 1540*g**2 + 14*g + 177*g - 43*g - 135*g**2 wrt g?
2810
Let t(i) = -1829*i**3 - 5*i**2 - 40*i + 1558. Let s(m) = 1828*m**3 + 6*m**2 + 48*m - 1559. Let q(p) = -10*s(p) - 12*t(p). Differentiate q(f) wrt f.
11004*f**2
What is the third derivative of 19*x**2 - x**3 - 40*x**6 + 47*x**6 + x**6 + 2*x**2 - 22*x wrt x?
960*x**3 - 6
Let g(p) = 94*p + 158. Let t(h) = -48*h - 79. Suppose -23 = 6*j - 35. Let r(b) = j*g(b) + 5*t(b). What is the derivative of r(n) wrt n?
-52
Let b(h) = 2*h**3 + 18*h**2 - 8*h - 8. Let p be b(-9). Let f(t) be the first derivative of 43*t - 9*t**2 + 121 - p - 65. Differentiate f(o) wrt o.
-18
Let n be 129 + (-5)/((-25)/(-20)). What is the second derivative of -251*l**4 - 53*l**5 - 30*l + 126*l**4 + n*l**4 wrt l?
-1060*l**3
Find the third derivative of -v**3 + 498*v**2 + v**3 - 497*v**2 - 14981*v**4 - 3727*v + 4479*v**4 wrt v.
-252048*v
Let d(y) = -22*y - 32. Let t(c) = -9*c - 13. Let s(v) = -5*d(v) + 12*t(v). Let m be s(0). Differentiate -25*f**4 - 2 + 42*f**m - 3 with respect to f.
68*f**3
What i