g(k) - r(k). What is the derivative of i(z) wrt z?
-7020*z**2
Let c = -400 - -423. Find the second derivative of 98*l + l - c*l + 160*l**2 + 26*l + 32*l wrt l.
320
Let d(q) be the third derivative of -4967*q**8/336 + 31*q**4/24 + 13*q**3/6 - 24*q**2 + 2*q + 13. What is the second derivative of d(i) wrt i?
-99340*i**3
Let g(o) = 381*o + 399. Let v(r) be the second derivative of -38*r**3/3 - 40*r**2 - 2*r + 10. Let k(c) = -2*g(c) - 11*v(c). Differentiate k(a) wrt a.
74
Let o(m) = -m**2 - 13*m + 81. Let y be o(-17). What is the second derivative of -1 + 11*q**5 - y*q**5 + 45*q**5 - 72*q + 28*q**5 wrt q?
1420*q**3
Suppose l + 3*o - 3 - 1 = 0, -5*o = -2*l + 30. Let r be l/3*(18/(-4))/(-3). What is the third derivative of 2*m**2 - 15*m**3 - 7*m**3 + m**2 + r*m**2 wrt m?
-132
Suppose 6*s = -53 + 149. Suppose s = 3*r + r. What is the first derivative of 9 - 125*n**2 - 5*n**r + 125*n**2 wrt n?
-20*n**3
Let c = -373 + 385. What is the third derivative of c*a**4 - 1732*a**2 - 43*a**4 + a**6 + 1694*a**2 wrt a?
120*a**3 - 744*a
Let i be (3 + -20)*(-1 + 0). What is the derivative of 25 - 3*a**3 + 8*a**3 + 4*a**2 - 6*a**3 + 34 + i wrt a?
-3*a**2 + 8*a
What is the derivative of 3328 + 438 + 5674*x**2 + 4698 wrt x?
11348*x
Find the third derivative of -10966*o**5 + 10966*o**5 + 4153*o**6 - 2838*o**2 wrt o.
498360*o**3
Suppose -1855 = -22*r + 10641. What is the first derivative of 28 - 326*m + r*m - 318*m wrt m?
-76
Suppose -68*i + 393 = -491. Let l(q) be the third derivative of 4/3*q**3 + i*q**2 + 0*q - 7/12*q**4 + 0. Differentiate l(f) with respect to f.
-14
Let n(k) be the third derivative of 79*k**8/20160 - 11*k**6/240 + 3*k**5/5 - 42*k**2. Let x(j) be the third derivative of n(j). Differentiate x(d) wrt d.
158*d
Suppose 7*z = -11*z + 486. What is the derivative of 56 - 5*n + 48*n**2 - z*n**2 + 5*n wrt n?
42*n
What is the third derivative of 174*i**2 - 513*i**2 - 76*i**3 - 837*i**2 - 110*i**2 + 836*i**3 wrt i?
4560
What is the third derivative of 101*m - 5*m**2 + 1817*m**6 + 99*m - 1447*m**6 wrt m?
44400*m**3
Suppose -10*t + 12*t = 132. Let l = -59 + t. Differentiate -8 + 19 - 10*b**2 - l + 21 wrt b.
-20*b
Let f(w) be the second derivative of -173*w**7/21 - 55*w**4/12 + 7*w**2 + 9*w - 7. Find the third derivative of f(d) wrt d.
-20760*d**2
Let g(b) = 817*b**4 + 10*b**3 + 10*b + 9409. Let v(u) = -545*u**4 - 7*u**3 - 7*u - 6272. Let j(s) = 7*g(s) + 10*v(s). What is the derivative of j(x) wrt x?
1076*x**3
Let m(s) be the second derivative of s**6/15 - s**5/10 - 39*s**4/4 + 6907*s**3/6 - 4*s - 485. Find the second derivative of m(q) wrt q.
24*q**2 - 12*q - 234
Let a be 4 + (4 + -4 - 0). Suppose -g - a = -2*g. What is the derivative of 114 - 98 - g*o + o wrt o?
-3
Let l(k) be the first derivative of 688*k**3/3 + 21*k**2/2 - 23*k + 3989. Find the second derivative of l(x) wrt x.
1376
Differentiate -147*o**3 - 122*o**3 + 269*o**3 + 827 + 642*o**4 wrt o.
2568*o**3
Let w(z) be the second derivative of -1051*z**3/6 + 2847*z**2/2 - 140*z. Find the first derivative of w(k) wrt k.
-1051
Let z(u) be the second derivative of -3*u**5/20 - 5*u**4/4 - 12*u**3 - 11889*u**2/2 - 236*u - 9. Find the first derivative of z(k) wrt k.
-9*k**2 - 30*k - 72
Let z(t) = 9357*t**3 - 417*t**2 + 9*t + 32. Let s(c) = -9356*c**3 + 416*c**2 - 8*c - 24. Let p(d) = 4*s(d) + 3*z(d). What is the third derivative of p(m) wrt m?
-56118
Let r be (6 + -3 - 0) + (-3 - -1). Let f be (8 - (-3 - -7))*r. What is the derivative of 2 + 21 + 4 + 7*p**3 + f wrt p?
21*p**2
Let h(u) be the first derivative of -4504*u**3/3 - 1545*u**2 - 2242. Find the second derivative of h(r) wrt r.
-9008
Let y(r) be the third derivative of 0*r**6 + 0 - r + 0*r**4 - 7*r**2 + 8/3*r**3 + 0*r**5 + 1/10*r**7. What is the first derivative of y(a) wrt a?
84*a**3
Let g(v) be the first derivative of 14*v**5/5 + v**4/4 + v**3/6 - 63*v + 63. Let i(n) be the first derivative of g(n). Find the third derivative of i(f) wrt f.
336
Let o(m) be the third derivative of 2757*m**6/40 + 3482*m**5/15 + 13853*m**2. What is the third derivative of o(l) wrt l?
49626
Let b(x) be the second derivative of 0*x**6 + 0*x**5 + 0 + 0*x**2 - 29/12*x**4 + 26*x + 0*x**3 + 11/7*x**7. Find the third derivative of b(f) wrt f.
3960*f**2
Differentiate -1623*t**3 + 2920 - 548 + 1625*t**3 + 2167*t**4 + 0*t + 0*t wrt t.
8668*t**3 + 6*t**2
Let a = 609 + -606. Find the second derivative of 61*b - 39*b**3 - 48*b + 308*b**a + 86*b wrt b.
1614*b
Let k(r) be the first derivative of -r**5/5 + 4712*r**3/3 - 1354*r - 1120. Differentiate k(y) with respect to y.
-4*y**3 + 9424*y
Suppose -23 = -6*v + 2*v + i, 0 = -4*v - 4*i + 48. What is the second derivative of -2 - 22*d + 20 - v*d - 201*d**3 - 13 wrt d?
-1206*d
Let o(x) be the third derivative of 313*x**7/70 - 5*x**4/6 - 2*x**3/3 - 424*x**2. What is the second derivative of o(v) wrt v?
11268*v**2
Let v(q) be the third derivative of 401*q**9/168 - 11*q**5/60 - q**3/2 - 262*q**2. What is the third derivative of v(x) wrt x?
144360*x**3
Find the third derivative of 313*t - 104644*t**2 + 104639*t**2 + 2076*t**3 + 1637*t**3 wrt t.
22278
Let f = 210 - 204. Let c(n) = -101*n + 5. Let x(d) = -50*d + 3. Let p(z) = f*c(z) - 13*x(z). What is the first derivative of p(b) wrt b?
44
Let c(j) be the second derivative of 2911*j**4/12 - 1997*j**3/6 + 4497*j. What is the second derivative of c(s) wrt s?
5822
What is the first derivative of -101*k**3 + 6688 + 312*k**2 + 132*k**2 - 448*k**2 - 3*k**4 wrt k?
-12*k**3 - 303*k**2 - 8*k
Suppose 2*a + 174 = 5*t, 4*t - 36 = 3*t + a. Suppose -2*w - t = -4*x, -3*w - 2*w = 5. Find the second derivative of 19*l - x*l**3 + 0 - 21*l + 0 wrt l.
-48*l
What is the first derivative of -403*o**3 + 1882 - 304*o**3 - 340*o**3 - 199*o**3 wrt o?
-3738*o**2
Suppose 5*g - 30 = 3*l, -5*g = -0*l - 5*l - 40. Find the first derivative of -19 - 53 - 6216*w**g + 12*w**2 + 6217*w**3 wrt w.
3*w**2 + 24*w
Let c(a) be the first derivative of 141*a**6 + a**2/2 + 116*a + 751. What is the second derivative of c(y) wrt y?
16920*y**3
Suppose -t - x + 61 = t, -2*t = 4*x - 70. Let i = 42 - t. What is the third derivative of i*u**2 - 20*u + 7*u**4 + 20*u wrt u?
168*u
Let j(p) = 7*p**2 - 10*p + 9. Let b be j(2). Find the second derivative of 42*h + 5*h**2 - 6*h**2 - b*h**3 - 45*h wrt h.
-102*h - 2
Let w(j) = 9559*j**3 + 2*j**2 - 10*j + 14. Let t(x) = -19117*x**3 - 5*x**2 + 19*x - 26. Let u(n) = -6*t(n) - 11*w(n). Find the third derivative of u(b) wrt b.
57318
Let d(z) be the third derivative of z**6/24 - 83*z**4/6 - 715*z**3/2 + 2*z**2 - 58*z - 1. What is the derivative of d(j) wrt j?
15*j**2 - 332
Let t be (-99)/(-15) - (-1)/((-5)/3). Suppose 0 = -5*b + t*b - 4*u + 14, -2*b - 4 = -2*u. Find the third derivative of -17*k**b + 406 + 11*k**3 - 406 wrt k.
66
Let o(x) = x + 12. Let u be o(8). Find the first derivative of -591*a + 591*a + u - 81*a**2 wrt a.
-162*a
What is the derivative of -1787 + 903*c - 598*c - 599*c - c**2 wrt c?
-2*c - 294
Suppose 37*d = 34*d + 27. What is the second derivative of 3*w - 8 - 3*w - 5*w - 60*w**2 + d wrt w?
-120
What is the third derivative of 43*z**5 - 60*z**2 + 35*z**2 - 125*z + 114*z + 26*z**4 wrt z?
2580*z**2 + 624*z
Find the second derivative of 51*a**4 + 54*a**4 - 149*a**4 - 1274*a - 451*a + 1591*a**3 + 47*a**4 wrt a.
36*a**2 + 9546*a
Let k(y) = -17*y**3 + 88*y**2 - 4569*y - 6. Let w(i) = -3*i**3 - i - 2. Let l(z) = k(z) - 3*w(z). What is the second derivative of l(n) wrt n?
-48*n + 176
Find the first derivative of -204*s + 203*s + 831 - 82*s**4 - 59*s**4 + 277 wrt s.
-564*s**3 - 1
Let i(v) = v**3 - 14*v**2 - 9*v + 7. Let k be i(15). Let s = -58 + k. Find the second derivative of -s*p + 76*p + 2*p**3 - 33*p wrt p.
12*p
Let i(k) = k**3 + 2*k**2 + 2*k - 1. Let m(h) = -2*h**4 - 8*h**3 - 421*h**2 + 112*h - 7. Let f(v) = 8*i(v) + m(v). Find the second derivative of f(u) wrt u.
-24*u**2 - 810
Let s be (128/40)/(12/5 + -2). Let u(j) = j**2 - 3*j - 4. Let t be u(s). What is the second derivative of -19*g**2 + 29*g + t*g - 64*g wrt g?
-38
Let u(w) be the third derivative of -w**9/63 + 5*w**8/168 + 1171*w**5/60 - 392*w**2. What is the third derivative of u(a) wrt a?
-960*a**3 + 600*a**2
Suppose -11*b + 72 - 39 = 0. What is the second derivative of -137*g**b + 2*g + 9 + 0*g + 2*g - 2*g wrt g?
-822*g
Let x(b) = 423