h**3 + 24*h
Suppose -2*o = 4*u - 10, 2 = 2*o - 0. What is the third derivative of -14*a**u + 30*a**5 - 215*a**5 + 49 + 12*a**2 wrt a?
-11100*a**2
Let t(u) = 1444*u**2 - 1587*u - 10. Let k(q) = -1444*q**2 + 1604*q + 8. Let y(l) = -5*k(l) - 4*t(l). What is the second derivative of y(f) wrt f?
2888
Let m = 22 + -20. Suppose 0 = m*d - 4. What is the first derivative of 15 - d*i**2 + 14*i**2 + i - i wrt i?
24*i
Let f(j) = -63*j**4 + 7*j**2 + 3*j - 3. Let h be (6 + 0)/((-4)/2). Let y(d) = -d**4 - d + 1. Let s(i) = h*y(i) - f(i). Find the third derivative of s(g) wrt g.
1584*g
Let s(j) be the first derivative of 0*j + 37/3*j**3 + 0*j**4 + 28 + 0*j**2 + 8*j**5. Find the third derivative of s(p) wrt p.
960*p
Let r = 3913/466 + 24/233. Let y(k) be the first derivative of -r*k**2 - 10 + 0*k - 7/3*k**3. Find the second derivative of y(i) wrt i.
-14
Let o(j) be the first derivative of 0*j**3 + 41/2*j**6 + 0*j**4 + 183 + 23/2*j**2 + 0*j**5 + 5*j. Find the second derivative of o(s) wrt s.
2460*s**3
Let z(q) = -2*q**2 - 16*q + 6. Let j be z(-8). Suppose -3*o - 24 = -j*o. Differentiate -8 + o*d - 8*d - 6*d with respect to d.
-6
Let o(l) be the first derivative of 7*l**4/8 + 6*l**3 - 33*l**2/2 + 34. Let r(i) be the second derivative of o(i). Find the first derivative of r(g) wrt g.
21
Let i(q) be the third derivative of 0 + 1/8*q**4 - 120*q**2 + 0*q + 101/6*q**3. Find the first derivative of i(k) wrt k.
3
Let o = -76 + 81. Suppose 0 = 5*b + 10, -2*b + 183 + 68 = o*t. Find the second derivative of -28*c + 94*c**2 - 64*c**2 - t*c**2 wrt c.
-42
Let h(k) = 4*k**4 - 2*k**3 - 59*k**2 - 3*k - 1824. Let q(d) = -2*d**4 - d**3 - 2*d. Let j(p) = h(p) - 2*q(p). What is the second derivative of j(f) wrt f?
96*f**2 - 118
Differentiate -5508 - 11*b**3 + 1128 - 898 - 3567 + 208*b wrt b.
-33*b**2 + 208
Suppose -306 = 6*k + 318. Let s be k/(-16) + (-3)/(-18)*3. What is the third derivative of 9*r**5 - s*r**2 - 21*r**5 + 11*r**2 wrt r?
-720*r**2
Let f(x) = 49*x**3 + 12*x + 31. Let l(s) = -50*s**3 - 10*s - 32. Let v = -193 - -199. Let n(m) = v*l(m) + 5*f(m). What is the derivative of n(g) wrt g?
-165*g**2
Let q(b) be the third derivative of -469*b**5/20 - b**4/8 - 4*b**3/3 - b**2 - 8*b + 2. What is the second derivative of q(z) wrt z?
-2814
Let l(g) be the third derivative of -415*g**9/126 - 61*g**5/4 + 129*g**2. Find the third derivative of l(j) wrt j.
-199200*j**3
Let b(r) = r - 12. Let w(f) = -102*f**3 - 18*f - 1347. Let j(k) = -18*b(k) - w(k). What is the derivative of j(x) wrt x?
306*x**2
Find the third derivative of 64*p**2 + 80*p**2 - 810*p**6 + 2*p**2 + 13*p**2 - 390*p**6 - 2 wrt p.
-144000*p**3
Let o(t) be the first derivative of 129 + 0*t**2 + 0*t**3 - 23/4*t**4 - 85*t. Differentiate o(r) with respect to r.
-69*r**2
What is the first derivative of -4*p - 1987 - 5871 + 1670 - 6055 - 1500 + 151*p**3 wrt p?
453*p**2 - 4
Let g(w) be the first derivative of -1/2*w**2 - 4/3*w**3 - 2*w**4 - w + 45. What is the second derivative of g(y) wrt y?
-48*y - 8
Let i(f) be the third derivative of 211*f**5/60 + 521*f**4/4 + 1403*f**2. Find the second derivative of i(w) wrt w.
422
Let v(p) = -p**3 - p**2 + p + 2. Let t be v(3). Let w = -28 - t. Find the third derivative of -7*y**3 - 69*y + 69*y - w*y**2 wrt y.
-42
Find the second derivative of -50892*s + 1 + 1032*s**4 - 4706*s**4 + 53390*s wrt s.
-44088*s**2
Let g(f) = 2*f**3 + 75*f**2 + 132. Suppose 10*k - 37 = 133. Let d(u) = 6*u**3 + 224*u**2 + 397. Let m(r) = k*g(r) - 6*d(r). Differentiate m(o) wrt o.
-6*o**2 - 138*o
Suppose 0 = 2*w - 6*w + 56. Let g be 12/w*((-126)/(-3))/2. What is the second derivative of 9*a**2 + 9*a**2 + 3*a - g*a**2 - 8*a**4 wrt a?
-96*a**2
Let b(c) = c**2 - 6*c - 1. Let j(l) = -861*l**2 - 56*l - 828. Let k(r) = 9*b(r) - j(r). What is the first derivative of k(m) wrt m?
1740*m + 2
Suppose -2*v + 18 = -0*m + 4*m, 5*m - 5 = v. What is the second derivative of -3*y**3 + m*y + 7*y**3 - 16 - 3*y wrt y?
24*y
Let v(c) = c**2 - 7*c - 65. Let q be v(13). What is the third derivative of n**3 + 32*n**3 + 11*n**3 + 3*n**2 + q wrt n?
264
Let m(w) = -w**4 + w**3 - 4*w + 2. Let a(k) = -237*k**4 - 7*k**3 + 5*k**2 + 20*k + 7661. Let x(j) = a(j) + 5*m(j). Differentiate x(o) with respect to o.
-968*o**3 - 6*o**2 + 10*o
What is the first derivative of 864 + 2*b**3 - 884843*b**2 - 2*b**3 + 884879*b**2 + 50*b**4 wrt b?
200*b**3 + 72*b
Let c(n) = -3*n**4 - n**2 - n - 3. Let d(l) = -1751*l**4 - 3*l**2 + 12*l + 29. Let f(s) = 3*c(s) - d(s). What is the second derivative of f(m) wrt m?
20904*m**2
Let c be (1 + 3)/2 + 0. Let n be (-1*80/50)/((-1)/15). Find the third derivative of 36*z**2 - 41*z**c + n*z**2 + 12*z**3 wrt z.
72
Suppose b = -5*s - 30, 3*b + 3*s = -b - 171. Let y be (1 - (-10)/(-6))/(6/b). Find the second derivative of -3*i**y + 39*i**2 - 39*i**2 - 10*i wrt i.
-60*i**3
Let g(m) be the third derivative of 883*m**8/336 + 29*m**5/60 + 55*m**3/3 + 6960*m**2. Find the third derivative of g(l) wrt l.
52980*l**2
Suppose 3*w - 3*j = 18, -16 = -2*w + j + 3*j. What is the second derivative of -c**2 - 82*c**4 + 239*c**w - 38*c - 77*c**4 wrt c?
960*c**2 - 2
Find the third derivative of 551*n**6 + 50*n**6 + 604*n**2 + 304*n**6 wrt n.
108600*n**3
Let a(u) = -4*u**2 + 62*u - 11244. Let f(p) = -3*p**2 + 66*p - 11230. Let q(g) = 2*a(g) - 3*f(g). What is the derivative of q(m) wrt m?
2*m - 74
Suppose -2*u - 5*y = -26, 14 = -3*u + u + 5*y. Let t be 2*(u + -4) - -9. Find the second derivative of i + 3*i**3 - 6*i**5 + 4*i**3 - t*i**3 wrt i.
-120*i**3
Let q(z) = -3*z**2 + z + 1. Let d(k) = -2*k - 59*k**2 - 14*k**2 + 170*k**3 - 2 + 241*k**2. Let c(p) = d(p) + 2*q(p). What is the third derivative of c(v) wrt v?
1020
Find the second derivative of -151*c**2 + 6538 - 2*c - 6788 - c wrt c.
-302
Let b(r) be the first derivative of -3*r + 0*r**4 + 47/5*r**5 + 0*r**3 - 3/2*r**2 + 1/3*r**6 + 37. Find the second derivative of b(s) wrt s.
40*s**3 + 564*s**2
Suppose -f - 2*s - s + 8 = 0, -f - 5*s + 12 = 0. What is the second derivative of -5*z**f - 2 - 107*z - 35*z + 83*z - 2*z**3 - 3*z**3 wrt z?
-30*z - 10
Let s be (-8)/(3/2*15/(-45)). Suppose -5*r - q = -199, 5*r - q - 188 = 3. Find the first derivative of -r*n**2 - 10 - 16*n + s*n wrt n.
-78*n
Let a(s) = -6*s - 16. Let v be a(-3). Find the third derivative of -h**v + 104*h + 0*h**4 + 2*h**2 - h**4 + 21*h**5 - 170*h wrt h.
1260*h**2 - 24*h
Let j(s) be the third derivative of -s**2 + 0 + 0*s**3 - 41/12*s**4 - 33/20*s**5 + s. Find the second derivative of j(g) wrt g.
-198
Let w(y) be the third derivative of 46*y**5/5 + 7*y**4/24 - 416*y**3 - 252*y**2 + y - 2. Differentiate w(v) with respect to v.
1104*v + 7
Let d = -110 - -113. Find the third derivative of -9*s**3 - 2*s**5 - 12*s**3 + 0*s**d + 8*s**2 + 39*s**2 wrt s.
-120*s**2 - 126
Let o(w) be the second derivative of -81*w**6/5 - 439*w**2/2 + 397*w. Find the first derivative of o(q) wrt q.
-1944*q**3
Find the third derivative of -9082*l**5 - 2226448*l**4 + 2226448*l**4 + 3325*l**2 wrt l.
-544920*l**2
Let l(r) = -r**3 + 5*r + 5. Let q be l(-2). Let n be (-1 - q)/((-15)/60). What is the second derivative of -n*m - 10*m + 8*m + 36*m**3 wrt m?
216*m
Let l(g) be the second derivative of -1891*g**6/15 - g**4/12 + 7*g**3/3 - 45*g**2/2 - 6180*g. What is the third derivative of l(v) wrt v?
-90768*v
What is the derivative of -270*m**4 + 22*m**4 - 107*m**4 - 1147 - 168*m**4 - 343*m**4 wrt m?
-3464*m**3
Let t(s) = 8*s**2 - 68*s + 755. Let p(g) = 2*g**2 - 17*g + 189. Suppose 20 = 32*c - 22*c. Let x(z) = c*t(z) - 9*p(z). Find the first derivative of x(a) wrt a.
-4*a + 17
Let d(j) be the third derivative of 0 + 17*j**2 + 9/4*j**4 + 215/6*j**3 - 2*j. Find the first derivative of d(n) wrt n.
54
Let x be 4/((-12)/9)*9. Let l = x + 29. Find the third derivative of 11*k**4 + 45*k**l - 46*k**2 + 0*k**4 wrt k.
264*k
Let t(c) be the third derivative of -c**6/120 + 659*c**4/24 + 933*c**3/2 + c**2 - 32*c. Find the first derivative of t(w) wrt w.
-3*w**2 + 659
Let h(n) = 432*n**4 - 12*n**3 + 360*n**2 + 52. Let l(x) = -x**4 + 3*x**3 - 13. Let q(r) = -5*h(r) - 20*l(r). What is the third derivative of q(b) wrt b?
-51360*b
Suppose 2*h + 2*b + 92 = 5*h, -4*h + 2*b = -120. Differentiate -h - 35*y - 2 - 62*y - 4*y wrt y.
-101
Suppose -17 + 53 = 47*j - 58. Let i(s) be the first derivativ