at is the derivative of k(w) wrt w?
3129*w**2
Suppose -5*p = 5*t + 10, 6*p - 2*t - 18 = p. What is the second derivative of 8 - 108*c - 17*c - c**p - 15*c**2 - 10 wrt c?
-32
Let z(a) be the first derivative of 2385*a**4/4 + 22*a**3/3 - a + 1529. What is the third derivative of z(w) wrt w?
14310
Differentiate -666 + 4*s**3 - 1945 - 1042 + 63083*s - 63107*s with respect to s.
12*s**2 - 24
Let k(y) be the second derivative of 170*y**4/3 - y**3/2 - 187*y**2/2 + 45*y - 3. Find the second derivative of k(n) wrt n.
1360
Let c(g) = 4*g - 46. Let f be c(12). Differentiate -51 + 22 + 68*t**f - 50 - 28 wrt t.
136*t
Let w(h) = 151*h - 3 - 150*h + 4 + 8*h**2. Let y be w(1). Find the second derivative of -y*l - 188*l**3 + 97*l**3 + 118*l**3 wrt l.
162*l
Let d(h) = 16*h**2 - 33*h + 3. Let o(w) = -w**2 + w - 1. Let k = 147 - 148. Let y(g) = k*d(g) - 3*o(g). Find the second derivative of y(j) wrt j.
-26
Let a(f) = 840*f - 742. Let o(c) = -281*c + 248. Let m = -699 - -707. Let p(i) = m*o(i) + 3*a(i). What is the first derivative of p(k) wrt k?
272
Find the third derivative of 12*h**4 + 17327*h**6 + 114*h - 17362*h**6 + 0*h**2 + 128*h - 4*h**2 wrt h.
-4200*h**3 + 288*h
Let q be (8/(-24))/(5/(-45)). What is the third derivative of -r**2 - 5*r**4 - 14*r**q - 2*r**4 + 3*r**4 - 87*r**2 - 73*r**2 wrt r?
-96*r - 84
Let r = 74 - 91. Let o = -15 - r. Differentiate -19*i**2 + o*i**2 - 6*i**2 - 38 wrt i.
-46*i
Find the second derivative of 2650*o**5 - 71*o - 2516551*o**3 + 2516551*o**3 - 2 wrt o.
53000*o**3
Let n = 35846 + 14834. Differentiate -n*w + 6 + 50680*w + 9*w**3 - 3*w**2 with respect to w.
27*w**2 - 6*w
Suppose -s - 12 = 3*l, 399*l - 402*l - 30 = -5*s. Suppose -3*p = p - 580. What is the derivative of 11 - p*o**s + 131*o**3 + 0 wrt o?
-42*o**2
Suppose 5*f - 4*f + h = 93, 4*f - 402 = 2*h. Find the second derivative of 0 - 151*u**2 - 3 + 3 + f*u + 0*u wrt u.
-302
Let f(m) = -17*m + 105. Let s be f(6). Find the first derivative of -201*t**s + 506*t - 506*t - 85 wrt t.
-603*t**2
Let z(q) be the first derivative of 53*q**4/4 + 1627*q**2/2 - 1534. What is the second derivative of z(o) wrt o?
318*o
Let x(u) = -3*u - 130. Let t be x(-43). Let k(f) = 19*f + 115. Let i(v) = 2. Let c(a) = t*k(a) + 2*i(a). What is the derivative of c(q) wrt q?
-19
Suppose -15*z + 20 = -5*z. Suppose -2*o = 3*q - 26, 0*o = -z*o - 10. What is the second derivative of 11 - 13*b - 33*b**2 + 1 - q wrt b?
-66
Let k(p) = 63*p**2 - 26*p - 1. Let a(j) = 188*j**2 - 76*j - 4. Let y be 10 - 1*(6 - 3). Let g(m) = y*k(m) - 2*a(m). What is the second derivative of g(z) wrt z?
130
Let q(s) be the third derivative of 775*s**9/63 + s**5 - 5*s**4/12 + 4*s**2 + s - 8. Find the third derivative of q(h) wrt h.
744000*h**3
Let a(u) = -8486*u**2 - 3861*u - 5. Let s(i) = -12729*i**2 - 5779*i - 8. Let t(h) = -8*a(h) + 5*s(h). Find the second derivative of t(d) wrt d.
8486
Let o(a) be the first derivative of -13*a**2/2 + 22*a + 146. Let r(h) = 42*h - 67. Let c(x) = -17*o(x) - 6*r(x). Find the first derivative of c(u) wrt u.
-31
Let j = 11786 - 23569/2. Let i(c) be the second derivative of -33/2*c**2 + 0 - 13*c + j*c**3. What is the derivative of i(v) wrt v?
9
Let p = -399 - -404. Find the third derivative of 2*l**5 + 0*l**p - 2*l**3 + l**3 + 26*l**2 - 10*l**5 wrt l.
-480*l**2 - 6
Let r(y) be the second derivative of -191*y**8/7 + 17*y**4/3 - 3*y**2/2 + 182*y - 3. Find the third derivative of r(s) wrt s.
-183360*s**3
Let j(q) = -1019*q - 1428. Let l(y) = -1018*y - 1439. Let w(b) = 3*j(b) - 4*l(b). Find the first derivative of w(f) wrt f.
1015
What is the second derivative of 129 + 857682*x**2 - 4*x**5 - 857680*x**2 + 51*x**3 + 96*x**3 + 14*x wrt x?
-80*x**3 + 882*x + 4
Let z(b) be the third derivative of -451*b**9/126 - b**5/15 - 181*b**4/8 + 2*b**2 - 456. Find the third derivative of z(a) wrt a.
-216480*a**3
Let g(v) = -268*v**2 + 762*v. Let p(t) = -2424*t**2 + 6858*t. Let d(j) = -28*g(j) + 3*p(j). What is the second derivative of d(f) wrt f?
464
Suppose 23 = -4*h + 111. Find the second derivative of -w + 21*w + 9*w**4 - w**2 + 12 + w**2 - h*w wrt w.
108*w**2
Suppose 0 = -161*u + 164*u. Find the third derivative of -3*s - 19*s**5 + 200*s**2 + u*s - 3*s**4 + 3*s + 29*s**5 wrt s.
600*s**2 - 72*s
Let u = 18 - 13. Suppose 42*f = -776 + 2288. What is the third derivative of -10*w**2 - f*w**5 + 36*w**u - 31*w**6 wrt w?
-3720*w**3
Let p(y) be the third derivative of 457*y**6/5 + 1687*y**3/6 + 3991*y**2. Find the first derivative of p(t) wrt t.
32904*t**2
Let k(t) = t - 24. Let o be k(28). Find the third derivative of -2*p - 96 - 6*p**2 + 96 + p**3 - 56*p**o - 2*p**3 wrt p.
-1344*p - 6
Let q(m) be the first derivative of 1738*m**7/7 - 27*m**3 + 5*m + 374. Find the third derivative of q(b) wrt b.
208560*b**3
Let s(t) = 2*t**5 - t**4 - t**2 - 1. Let q(k) = -179*k**5 - 3*k**4 - 3*k**2 - 2208*k - 3. Let w(f) = q(f) - 3*s(f). Find the second derivative of w(n) wrt n.
-3700*n**3
Let x(l) be the first derivative of 856*l**3/3 + 39*l**2 - l - 804. Find the second derivative of x(m) wrt m.
1712
Let d(t) be the second derivative of -2*t**7/21 - 4*t**6/15 - 47*t**5/20 + t**4/12 + t**3/6 + 49*t**2/2 - 4610*t. What is the third derivative of d(g) wrt g?
-240*g**2 - 192*g - 282
Let p(a) be the third derivative of a**7/105 - a**6/120 - 19*a**5/15 + 763*a**3/3 + 1919*a**2. What is the derivative of p(z) wrt z?
8*z**3 - 3*z**2 - 152*z
Let c = 139 - 136. Find the first derivative of -226*b**3 + 57 + 7 + 282*b**c wrt b.
168*b**2
Let x(h) = -627*h**3 - 173*h**2 + 12. Let d(i) = i**3 - i**2 - 2. Let v(y) = 6*d(y) + x(y). Find the third derivative of v(f) wrt f.
-3726
Suppose -q - 3 = 5*d + 10, -3*d = -q + 27. Let j(m) be the first derivative of 12*m - 15 - m + 5*m**2 - q - 2. Differentiate j(w) with respect to w.
10
Suppose 138*b = 38*b + 300. Let j(w) be the first derivative of 3 - 13*w + 0*w**2 + 19/3*w**b. Differentiate j(l) wrt l.
38*l
Let r(m) = -2*m**3 + 20*m**2 + 14*m - 20. Let y be r(10). Differentiate -y*k - 41 - 180*k**4 + 120*k - 133 with respect to k.
-720*k**3
What is the third derivative of -119 + 198 + 3545*m**4 + 50*m**2 - 4*m - 65 + 5*m wrt m?
85080*m
Let n(x) = -2689*x**2 + 35*x - 4503. Let y(k) = -1343*k**2 + 20*k - 2252. Let s(m) = 4*n(m) - 7*y(m). Find the first derivative of s(b) wrt b.
-2710*b
Let w(d) be the third derivative of 175*d**2 + 0 + 0*d**5 + 0*d - 67/60*d**6 - 53/6*d**3 - 1/24*d**4. What is the second derivative of w(x) wrt x?
-804*x
Let i(b) = -2*b**2 - 16*b + 10. Let d be i(-7). Find the first derivative of 86 - 157 + d*j**2 - 57 wrt j.
48*j
Let j = 12 + -8. Suppose -4*t = -j - 28. Differentiate -15*w + 14 - t*w + 18*w wrt w.
-5
Suppose -1 - 7 = -2*p. Let s be (-3)/p + 15/4. Find the second derivative of 3*x + s*x**2 + 4*x + 0*x**2 + 15*x wrt x.
6
Let u be (-5)/(-1) + (5 + -1 - -5). Differentiate 30*r - 2*r**2 - 7*r - 32*r + u wrt r.
-4*r - 9
Let l be -9*(-5 - 26) + -2. Find the third derivative of -9 - 8 - 14*s**2 - l*s**4 + 17 - 27*s**2 wrt s.
-6648*s
Suppose 1632 = 19*j - 1598. What is the first derivative of 27 - 24 - 57 + j*o**3 - 29 wrt o?
510*o**2
Let r(u) = -118*u**3 - 441*u**2 - u. Let i(n) = 2*n**3 + n. Let a(f) = -6*i(f) - 6*r(f). Find the third derivative of a(g) wrt g.
4176
Let v(x) = -3*x**4 + 13*x**3 + 621*x**2 + 1923*x. Let l(y) = -y**4 + 9*y**3 + y**2 - 2*y. Let u(t) = l(t) - v(t). Find the second derivative of u(c) wrt c.
24*c**2 - 24*c - 1240
Let q(c) be the first derivative of -3341*c**2/2 - 932*c - 524. What is the derivative of q(x) wrt x?
-3341
Let f be 7 + -10 + (-4)/(-22) + (-248)/(-88). Let g(d) be the second derivative of f + 38*d - 5/2*d**3 + 35/2*d**2. Differentiate g(z) wrt z.
-15
Let o(g) be the second derivative of 0*g**3 + 30*g**2 + 119/12*g**4 + 31*g + 0. Differentiate o(t) with respect to t.
238*t
Let j be (-1 + 5)*(90/8)/15. Let n(m) = 45*m**2 + 3*m - 8. Let w(v) = v**2 - v. Let p(k) = j*n(k) + 6*w(k). Find the second derivative of p(i) wrt i.
282
What is the third derivative of 882*j**2 + 11*j + 3 + 0*j - 874*j**2 + 16*j - 3*j + 3472*j**4 wrt j?
83328*j
Let o(w) be the third derivative of -337/6*w**3 + 49/120*w**6 + 0*w**5 - 255*w**2 + 0*w + 1/24*w**4 + 0. Differentiate o(y) with respect to y.
147*y**2 + 1
Let k(y) be the first derivative of 90*y - 121/2*y**2 + 270. Diff