32
Let z = 99 - 99. Differentiate z*r - 34*r**3 + 1 + 3*r + 13 + 52*r**3 with respect to r.
54*r**2 + 3
Suppose 9*t - 7*t - 902 = 0. Find the second derivative of -490 + z + t + 108*z**3 - 25*z**3 wrt z.
498*z
Let c(g) be the second derivative of 0*g**6 + 6 - 6*g - 19/14*g**7 + 13/4*g**4 + 0*g**2 + 0*g**5 + 0*g**3. Find the third derivative of c(v) wrt v.
-3420*v**2
Find the second derivative of l**3 + 2*l**3 + l - 1511 + 2032*l**4 - 391*l**4 - 5*l**3 wrt l.
19692*l**2 - 12*l
Suppose 0 = -2*l + 59 - 61. Let q be (6/(-18) - 0)*(l - 8). What is the third derivative of 6*r**6 + 27*r**2 - 3*r**q + 3*r**3 - 27*r**6 wrt r?
-2520*r**3
Let m be (13/39)/(2/36). Suppose -n + m = -7. What is the second derivative of -n*h**2 + 34*h**2 - 3*h + 12*h - 2*h wrt h?
42
Suppose -160 = -4*p - 5*r, -15*r + 11*r + 86 = 2*p. What is the second derivative of -16*a**3 + 25*a**3 + 63*a**3 + 98*a**3 - 10*a**3 + p*a wrt a?
960*a
Find the first derivative of -1283*o - 1698*o - 87133 + 86129 wrt o.
-2981
Let z(w) be the second derivative of -183*w**5/2 - 1073*w**3/6 - 1609*w. Find the second derivative of z(f) wrt f.
-10980*f
Suppose 9*a - 28 = 8. Find the third derivative of 10*r**5 - 30*r**5 + 0*r**2 + 6*r**5 + 4*r**2 - a*r - 2*r**4 wrt r.
-840*r**2 - 48*r
Find the second derivative of 417*o**4 + 879*o**4 - 854*o + 470*o**2 + 211*o**4 - 470*o**2 wrt o.
18084*o**2
Let q be (-1)/(-2)*(-38 - -38). Differentiate 12 + f**2 + 6*f + q*f**2 - 34 + 9 - 43 wrt f.
2*f + 6
What is the second derivative of 301 + 16*h**4 + 329 - 392*h - 631 - 34*h**3 wrt h?
192*h**2 - 204*h
Let i be 15*7*(-4)/(-42). What is the derivative of 96*n + i - 96*n - 25 + 18*n**4 wrt n?
72*n**3
Let p(g) = -3587*g**3 + 32*g**2 + 8*g - 3659. Let u(s) = 1196*s**3 - 12*s**2 - 3*s + 1220. Let l(a) = -3*p(a) - 8*u(a). Differentiate l(v) with respect to v.
3579*v**2
Let q(r) = -r**3 - r - 1. Let h be (-3 - (-7 - -6))/2. Let c(n) = 120*n**3 - 2*n + 2. Let b(d) = h*c(d) - 2*q(d). Find the second derivative of b(l) wrt l.
-708*l
Suppose 2*f - 31 = -b, 10*b - 49 = -3*f + 11*b. Find the second derivative of -8*v**2 - 16*v + 18*v - 6*v**2 - 6*v + 139*v**2 - f wrt v.
250
Let g(q) = -2660*q**4 - 4*q**3 - 6*q**2 - 2*q - 2614. Let i(x) = 2*x**3 + 3*x**2 + x - 1. Let l(w) = g(w) + 2*i(w). What is the first derivative of l(c) wrt c?
-10640*c**3
Let x = 284 + -243. Find the second derivative of -135*l + x*l**2 + 75*l**4 - 41*l**2 - 2*l**5 + 3*l**5 + 28*l**4 wrt l.
20*l**3 + 1236*l**2
Let p be (-83)/(-3) - (-12 - (-315)/27). Differentiate -p*s**3 + 14*s + 11*s + 27*s**3 + 4 wrt s.
-3*s**2 + 25
Let t(j) = 3568*j**3 + 4*j**2 - 12*j + 17. Let x(q) = -3569*q**3 - 4*q**2 + 6*q - 15. Let h(p) = 3*t(p) + 4*x(p). What is the third derivative of h(m) wrt m?
-21432
Let i(w) be the first derivative of -572*w**2 - 4233*w + 5007. What is the derivative of i(u) wrt u?
-1144
Let q(p) be the third derivative of -31*p**2 + 0 + p + 0*p**5 + 167/120*p**6 - 5/3*p**3 + 7/24*p**4. Find the second derivative of q(d) wrt d.
1002*d
Let x be ((-18)/(-33))/((-93)/(-682)). Let h(l) be the first derivative of 14 + 0*l + 2/3*l**3 + 0*l**2 + 25/4*l**x. What is the third derivative of h(m) wrt m?
150
Let a(q) be the third derivative of 0*q**4 + 0*q**5 + 1 + 13/6*q**3 + 0*q + 7/30*q**6 - 26*q**2. Differentiate a(o) with respect to o.
84*o**2
Let u(j) = j**3 - 2*j**2 + j + 85. Let w(a) = -a**2 - 5*a - 4. Let s be w(-4). Let x be u(s). Differentiate 95*i**2 + 2 - x*i**2 + 6 with respect to i.
20*i
Suppose -3*k = -2*r + 91, r - 5*k = -r + 85. Let m = r - 46. What is the third derivative of 1 - 5 - 17*f**2 + m + 3*f**4 wrt f?
72*f
Let g(n) = 1291*n**4 - 7*n**2 - 2806*n. Let b(y) = -9*y**4 - y**2. Let c(i) = 5*b(i) - g(i). Find the third derivative of c(a) wrt a.
-32064*a
Let d(m) = -m**2 + 22*m - 37. Let p = 121 + -101. Let s be d(p). Find the second derivative of -78*y**4 - 78*y**4 + 4*y**s - 6*y**3 + 121*y**4 + 12*y wrt y.
-420*y**2 - 12*y
Let j(u) be the first derivative of -7*u**2/2 - 5*u - 2. Let y(d) = 2 + 4*d + 1 + 8 - 8. Let p(i) = 3*j(i) + 7*y(i). Find the first derivative of p(f) wrt f.
7
Suppose 0 = -5*i - 5*q + 30, 2*i - 2*q = 4 + 32. Let l(n) be the second derivative of -i*n**2 + n + 8/3*n**4 + 0*n**3 + 0. Differentiate l(d) with respect to d.
64*d
Suppose -670 = -7*g - 495. Find the second derivative of 78*x**2 - 29*x**2 + 48 - 25*x**2 - g*x**2 + 20*x**3 - x wrt x.
120*x - 2
Find the second derivative of -8864*r + 20*r**4 - 23329*r**3 - 115*r**2 + 23329*r**3 wrt r.
240*r**2 - 230
Let x(a) be the second derivative of 1/3*a**3 + 31/2*a**2 - 13 + a. Differentiate x(v) wrt v.
2
Let t(g) = g**2 + 7*g + 3. Let x be t(-9). Find the second derivative of -113*c**2 + 1 - x*c - 115*c + 6*c - 15*c**2 + 26*c**2 wrt c.
-204
Differentiate -3702 - 2841*r**4 - 1670 - 1470 - 1568 wrt r.
-11364*r**3
Let b(u) be the third derivative of 289*u**6/60 + u**5/30 - 48*u**3 + 1915*u**2 + u. Find the third derivative of b(w) wrt w.
3468
Let c = 134 - 128. What is the third derivative of -4*q**4 - 19*q**c - 802 - 10*q + 802 + 6*q**2 wrt q?
-2280*q**3 - 96*q
Let n be 0/(-2) - 1/(9/(-36)). Suppose -2*l + 5*z - 854 = -6*l, n*l + 3*z = 858. Differentiate 104 + 65 + 49*r - l with respect to r.
49
Let q(y) be the second derivative of 0*y**2 + 9*y - 103/12*y**4 - 2 - 38/21*y**7 + 0*y**5 + 0*y**3 + 0*y**6. What is the third derivative of q(z) wrt z?
-4560*z**2
Let z be 7 - ((-32)/(-4))/4. Find the third derivative of g**2 - 6*g**5 + 0*g**5 + 25*g**z + 25*g**5 - 4*g wrt g.
2640*g**2
Let o(b) be the third derivative of 55*b**9/24 - b**7/105 + 2009*b**5/60 + 1579*b**2. What is the third derivative of o(x) wrt x?
138600*x**3 - 48*x
Suppose 32*o + 2 = 98. What is the third derivative of 9*y**3 + 19 - 1581*y**4 - o*y**2 - 1583*y**4 + 3167*y**4 wrt y?
72*y + 54
Suppose 56 = 4*h - 4*v, -30 = -5*h - 5*v + 2*v. Suppose 8 = -5*u + 7*u. Find the second derivative of -h*c + 20*c**2 - u*c - 7*c**2 + 4*c wrt c.
26
Let y = -99 - -102. Differentiate -12 + c**3 + 84 + 30*c**y - 10*c**3 wrt c.
63*c**2
Let v(k) be the third derivative of -2*k**7/105 + 43*k**6/24 - 417*k**5/20 + k**3/3 + 667*k**2. What is the third derivative of v(b) wrt b?
-96*b + 1290
Let c(i) = -i**3 + 3*i**2 + 3. Let g be c(3). Suppose s = o + 7 + 5, 0 = 3*o + g. Find the third derivative of -3*k - 16*k**4 + s*k + 8*k**2 - 8*k wrt k.
-384*k
Let j(c) = -944*c + 1904. Let z(g) = 187*g - 381. Let y(p) = -4*j(p) - 21*z(p). What is the first derivative of y(l) wrt l?
-151
Let n(v) = -v**3 - 3*v**2 - 8*v - 88. Let q be n(-5). Find the third derivative of -9*b**q - b**2 + 1317 - 1317 - 261*b**3 + 48*b**3 wrt b.
-1278
Suppose 5*j + 8 = 5*w - 2, -3*j + 9 = 0. Let o be 3/w + (-276)/(-15). What is the third derivative of -33*a + 33*a - a**5 - o*a**5 - 19*a**2 wrt a?
-1200*a**2
Differentiate -194582*p + 1879*p**3 + 194582*p - 1480 with respect to p.
5637*p**2
Let b(l) be the first derivative of -3*l**6/2 - 81*l**4/4 + 69*l**2/2 - 6*l - 72. Find the second derivative of b(o) wrt o.
-180*o**3 - 486*o
Let k(h) be the first derivative of 1/5*h**5 + 0*h + 0*h**4 - 127 + 0*h**2 - 30*h**6 + 36*h**3. Find the third derivative of k(u) wrt u.
-10800*u**2 + 24*u
Let l(x) be the third derivative of -128*x**6/15 + 616*x**3/3 + x**2 + 32*x. Differentiate l(m) with respect to m.
-3072*m**2
Let c(w) be the first derivative of -1175*w**4/2 - w**2/2 - 57*w + 1256. Find the second derivative of c(n) wrt n.
-14100*n
Let x(n) be the first derivative of 57*n**8/112 - 5*n**5/4 + 10*n**2 - 43. Let j(r) be the second derivative of x(r). Find the third derivative of j(g) wrt g.
10260*g**2
Let b(q) be the second derivative of -24*q**4 - 65*q**3/2 - q**2/2 + 1795*q. What is the second derivative of b(i) wrt i?
-576
Suppose 0*d + q - 2 = -d, 3*d + 4*q = 2. Let w = d - 1. Differentiate -16*n + w*n - 2 - 17*n with respect to n.
-28
Let i(q) be the second derivative of -3*q**5/20 + 41*q**4/12 + 61*q**2 - 1667*q. Find the first derivative of i(x) wrt x.
-9*x**2 + 82*x
Let d = -36 - -39. Suppose -w - 17 = -6*w + 4*m, 21 = d*w + 3*m. Find the third derivative of -11*q**5 + 7*q**2 - 6*q**w - 19*q**2 wrt q.
-1020*q**2
Let j = -49 + 67. Suppose 67 = 5*h - j. What is the derivative of -h - 5*m**4 + 0*m**4 + 2*m**4 + m**4 wrt m?
-8*m**3
Let w(r) be the second derivative of -2424*r**6/