28
Let w(s) = -s**3 + 8*s**2 - 13*s - 7. Let x be w(4). Find the second derivative of -10*b - 7*b - 427*b**x + 405*b**5 wrt b.
-440*b**3
Let y(t) be the first derivative of 2857*t**4/2 - 6125*t**3/3 - 3043. What is the third derivative of y(w) wrt w?
34284
Let s be 43 - (-4 - (-18 - -7)). What is the second derivative of s*w - 73*w - 43*w**2 - 29 + 36*w wrt w?
-86
Let x(o) be the first derivative of 13*o**6/180 - 47*o**4/12 + 110*o**3/3 - 3. Let t(b) be the third derivative of x(b). Differentiate t(k) wrt k.
52*k
Let j = 74 - 64. Suppose -9*x + j = -8*x. What is the third derivative of -80*z**2 - 3*z**3 + 3 + 7*z**4 - 3 + 82*z**2 + x wrt z?
168*z - 18
Let k(g) = g**2 - 3*g - 6. Let u be k(-4). What is the third derivative of 3*w**2 + u*w + 60*w**6 - 3*w**6 - 24*w wrt w?
6840*w**3
Let u(g) be the first derivative of 4*g + 37 - 1/4*g**4 + 1/3*g**3 - 3*g**2. Find the second derivative of u(f) wrt f.
-6*f + 2
Let c = 125 - 122. Find the second derivative of 60*n - 71*n - 40*n**3 + 98*n**c wrt n.
348*n
What is the second derivative of 102*m**2 + 75*m**2 + 11*m**2 - 5*m + 82*m**2 - 48 wrt m?
540
Let g(w) = 1389*w - 1688. Let p(b) = 1386*b - 1687. Let k(z) = 10*g(z) - 9*p(z). Find the first derivative of k(f) wrt f.
1416
Suppose 0 = -2*w - 3*f + 8, -3*w + 47 - 1 = -4*f. Differentiate -11 - 32*c + 20*c - 9*c**4 + w*c wrt c.
-36*c**3 - 2
Find the third derivative of 125*n**2 + 110*n**2 + 1172*n**6 + 3*n + 3*n**2 wrt n.
140640*n**3
Let k be (-80)/(-36) - (5 - (-172)/(-36)). Find the third derivative of 54 - k*w**2 - 31*w**4 + 37*w**4 - 52*w**4 wrt w.
-1104*w
Let s(h) = 4377*h**3 + 5*h**2 + h - 3. Let u(f) = -3*f**2 - f + 1. Let d(z) = s(z) + 4*u(z). What is the third derivative of d(t) wrt t?
26262
Suppose y + 246 = 252. Find the third derivative of 8*h + 2*h**5 + 4*h + 12*h + 13*h - 44*h + 3*h**2 - 2*h**y wrt h.
-240*h**3 + 120*h**2
Let s be 8/(-48)*-27 - 42/(-6). Let a(r) be the second derivative of 0 - 23/6*r**3 - 26*r + s*r**2. Differentiate a(y) with respect to y.
-23
Let i be 20/(-1050)*-7 - (-1273)/15. What is the first derivative of -7 + 3*k + 120 + i*k wrt k?
88
Let g(t) = -5*t - 7. Let i be g(-2). Suppose -5 = i*c - 4*c. Find the second derivative of 2*f**5 + 0*f**c + 3*f**5 + 12*f + 3*f wrt f.
100*f**3
Let d be (-408)/(-108) + 6/27. Suppose 0 = -3*f + d*f - 3. Find the third derivative of -6*z**f + 215 - 8*z**2 - 215 wrt z.
-36
Suppose -2*b - 27 = -3*q, -q - 2*b - b - 2 = 0. Let u be 4*q*(-6 + (-52)/(-8)). Find the second derivative of 16*t**4 - 60*t**4 + 5*t + u*t**4 wrt t.
-360*t**2
Let c be ((-55)/(-20) - 2)/(3/8). What is the first derivative of 0*f**2 - f**2 - 2*f**2 - 3*f**c - 93 wrt f?
-12*f
Let l(q) be the first derivative of -q**6/6 + 214*q**5/5 - 461*q**3 - 2884. What is the third derivative of l(h) wrt h?
-60*h**2 + 5136*h
What is the third derivative of 217 - 5*u**2 + 180 + 201 - 10*u**3 + 3*u**2 + 109*u**5 wrt u?
6540*u**2 - 60
Differentiate -1214*o - 43 + 632 + 611 - 247 - 63 with respect to o.
-1214
Let o(k) be the second derivative of 0*k**2 - 65/4*k**4 + 5*k + 0*k**3 - 42/5*k**6 + 0*k**5 - 13. What is the third derivative of o(r) wrt r?
-6048*r
Let y(k) be the second derivative of 869*k**6/15 - k**4/3 + 157*k**3/3 + 635*k. Find the third derivative of y(w) wrt w.
41712*w
Let p(f) = -1682*f**4 + 2*f**3 + 6*f + 1327. Let t(o) = -8409*o**4 + 11*o**3 + 33*o + 6633. Let k(g) = 11*p(g) - 2*t(g). What is the derivative of k(m) wrt m?
-6736*m**3
Suppose -17 = -r + 56. Differentiate 0 + r*u + 3 - 217*u - 27 wrt u.
-144
Let o(b) = 15*b - 15. Let w be o(13). Suppose 2*h - 3*n = w, -h - 2*h - 2*n = -257. What is the third derivative of 22*a**2 - h*a**3 - 84*a**3 + 148*a**3 wrt a?
-138
Let a(v) be the first derivative of v**3/3 + 13*v**2/2 - 28*v + 16. Let u be a(-15). What is the derivative of 3*j**2 + 3*j**u + 2 + 3 - 4 wrt j?
12*j
Find the second derivative of 840*q**4 - 2893 - 6908*q**4 + 2814 + 33*q wrt q.
-72816*q**2
Let i be ((-45)/5)/9 + 1 + 0. Let u(q) be the first derivative of i*q**3 + 32/5*q**5 + 13 + 0*q + 14*q**2 + 0*q**4. Find the second derivative of u(m) wrt m.
384*m**2
Let c(g) be the third derivative of 0 - 7/8*g**4 - 87*g**2 - 221/6*g**3 - 1/60*g**5 + 0*g. Differentiate c(s) with respect to s.
-2*s - 21
Let t(g) = g**3 + 14*g**2 + g + 1. Let i(k) = 1408*k**3 + 84*k**2 + 4*k + 6434. Let s(d) = -i(d) + 6*t(d). Differentiate s(c) with respect to c.
-4206*c**2 + 2
Let l(o) be the first derivative of 35 + 62/3*o**3 - 57/2*o**2 + 0*o. What is the second derivative of l(f) wrt f?
124
Let c(a) = -a**3 - 18*a**2 + 9*a. Suppose 0 = 7*g - 13 + 6. Let p(l) = l**2 - 2*l. Let v(n) = g*c(n) - 6*p(n). What is the second derivative of v(s) wrt s?
-6*s - 48
Let z be (-17)/(-102) - (-33)/18. What is the first derivative of 15*m**2 - 2594 + 2372 + 47*m**z + 144*m**2 wrt m?
412*m
Find the first derivative of 29201992 - 9268*a**3 - 29191530 - 2682*a**3 wrt a.
-35850*a**2
Find the second derivative of 275*a**2 - 152*a**2 + 9*a**4 + 1087*a + 90*a - 53*a**2 + 175*a wrt a.
108*a**2 + 140
Let k(i) be the first derivative of -1469*i**2/2 + 686*i - 1295. Differentiate k(b) with respect to b.
-1469
Let s(z) = 5552*z**3 - 4*z**2 - 4707*z + 8. Let w(u) = -2*u**3 - 2*u**2 - u + 3. Let r(o) = s(o) - 2*w(o). Find the second derivative of r(k) wrt k.
33336*k
Let u(r) be the first derivative of 689*r**2/2 - 4653*r + 6163. Find the first derivative of u(i) wrt i.
689
Suppose 0*n - 6 = -3*n. Suppose i = -2*m - 1, -i - n*m + 2 = -m. What is the second derivative of -8*k - 13*k**3 + 13*k**3 + 7*k**i wrt k?
140*k**3
Differentiate -2716*i - 463 - 6567*i - 5197*i with respect to i.
-14480
Let g(l) be the second derivative of -3019*l**5/20 - l**3/6 + 1092*l**2 + 631*l. What is the derivative of g(z) wrt z?
-9057*z**2 - 1
Find the first derivative of -56*s + 678*s**3 + 151*s - 56*s + 7534 - 42*s wrt s.
2034*s**2 - 3
Differentiate -261*r**2 - 17*r**4 - 8*r**4 - 39*r**4 + 65*r**4 + 5633 + r with respect to r.
4*r**3 - 522*r + 1
What is the second derivative of -12*d**4 + 19*d**3 - 138*d**2 + 20*d**4 + 138*d**2 - 5*d**3 + 1208*d wrt d?
96*d**2 + 84*d
Let f(g) = -g**3 + 7*g**2 - 9*g - 3. Let z be f(3). Find the second derivative of 11*i**2 + 15 - 3*i - 4 + 11*i**2 - z wrt i.
44
Let y(q) = q**2 - 2*q - 2. Let s(k) = 3*k**2 - 6*k + 1636. Let v(m) = s(m) - 4*y(m). What is the first derivative of v(l) wrt l?
-2*l + 2
Find the first derivative of -1407*y**2 - 884 - 1079*y**2 + 2764*y**2 wrt y.
556*y
Let h(a) = -a**3 + 20*a**2 - 3*a + 50. Let n be h(20). Let b be (-555)/n*1*2. Find the second derivative of b*p + 3*p**3 - 129*p - 25*p**5 - 3*p**3 wrt p.
-500*p**3
What is the second derivative of 316*c + 205*c**2 + 3 - 1 - 818*c - 6*c**4 - 198*c**2 wrt c?
-72*c**2 + 14
What is the first derivative of 59*y**4 + 52*y**3 + 59*y**3 + 1733 + 432*y**4 - 109*y**3 wrt y?
1964*y**3 + 6*y**2
Let r(d) be the first derivative of -20/3*d**3 + 0*d**2 - 1/2*d**4 - d - 75 + 8*d**5. What is the third derivative of r(z) wrt z?
960*z - 12
Let v(m) = -7569*m**5 - 8*m**4 + 4*m**2 + 7257*m. Let u(x) = 2*x**5 - 2*x**4 + x**2 - x. Let r(y) = 4*u(y) - v(y). Find the second derivative of r(q) wrt q.
151540*q**3
Suppose -8*a = -5*a - g + 964, -3*g = a + 318. Let s = a - -665. What is the first derivative of r**2 - r**2 - 25 + 371*r**3 - s*r**3 wrt r?
81*r**2
Let s(o) be the third derivative of -297*o**8/112 - 39*o**5/4 + o**4/8 + 379*o**2 + 4*o - 2. What is the third derivative of s(d) wrt d?
-53460*d**2
Find the third derivative of -479691*q**3 + 48*q**5 + 479691*q**3 - 6 - 2*q**4 + 13*q**2 + 3*q wrt q.
2880*q**2 - 48*q
Find the third derivative of 759*g**3 - 3742*g + 3742*g - 702*g**2 wrt g.
4554
Let y(k) be the first derivative of -3062*k**3/3 + 791*k**2 - 9927. Find the second derivative of y(v) wrt v.
-6124
Let u(t) = -95*t**2 + 68*t + 3. Let v(j) = -2*j - 1. Let k(a) = a + 17. Let g be k(-14). Let n(l) = g*v(l) + u(l). What is the second derivative of n(o) wrt o?
-190
What is the third derivative of 39 - 616*g**3 - 110 + 34 + 38 + g**2 wrt g?
-3696
What is the derivative of 1546 - 1797*u**3 - 596 + 727 wrt u?
-5391*u**2
Let j(g) = -g - 4. Let b be j(-6). Suppose -b*m = w - 26, 5*w + 24 = 2*m - m. Find the second derivative of -2*u - 2*u + 11*u**3 - m*u wrt u.
66*u
Let z(j) be the third deriv