s
Let q(w) = 9820*w**4 + 15*w**2 + 5*w + 808. Let j(z) = -9820*z**4 - 18*z**2 - 6*z - 809. Let u(s) = 5*j(s) + 6*q(s). Differentiate u(p) wrt p.
39280*p**3
Let j(k) = 6*k + 49. Let r be j(-8). Let l be (2/12)/((3/18)/r). What is the first derivative of 13 - 5*s**3 + 0*s**3 - l + 31*s**3 wrt s?
78*s**2
Let y(t) = -17*t - 7. Suppose 2*n + 2 = 4*n. Let r be ((-3)/18*3)/(8/32). Let h(l) = l - 1. Let d(i) = n*y(i) + r*h(i). Differentiate d(g) with respect to g.
-19
Let g(v) = -v**3 + 7*v**2 + 12*v + 1. Let r be g(9). Let l = r + 63. What is the third derivative of -l*b**6 - 5*b**5 + 5*b**5 + 0*b**6 - 3*b**2 wrt b?
-1200*b**3
Let a(g) = -g**3 + 35*g**2 + 16*g + 1925. Let w(f) = f**3 - 4*f**2 - 2*f - 2. Let x(s) = -a(s) - 8*w(s). What is the derivative of x(h) wrt h?
-21*h**2 - 6*h
Suppose 2*c - 10 = 8*w - 12*w, -5*c = -4*w + 3. What is the second derivative of -13*x**2 + 35*x - 2 - 30*x - 35*x**w wrt x?
-96
Let x(n) = -n**2 - n - 1. Let v = 22 - 6. Let z(d) = -3 - 31*d - 12*d**2 - 17*d**2 + v*d. Let p(l) = -3*x(l) + z(l). Find the second derivative of p(m) wrt m.
-52
Suppose v - 3*p - 12 = 0, -18 = -v + 5*p - 0*p. Find the second derivative of -4*w**4 - w**4 + 82 - 14943*w**3 + 14944*w**v - w wrt w.
-60*w**2 + 6*w
Let t(v) = -v**3 + v**2 + v + 2. Let b(y) = 1422*y**3 + 243*y**2 - 3*y - 6. Let k(h) = b(h) + 3*t(h). Find the third derivative of k(j) wrt j.
8514
Suppose 4*f = -5*m - 7, 5*f + 5*m = 3*f - 11. Find the first derivative of 3*w**f - w**3 - 3*w**2 - 118*w**3 + 119 wrt w.
-357*w**2
Let f = -23 - -63. Let h = -34 + f. What is the third derivative of 1 - 1 - h*p**6 - 7*p**2 - p**6 wrt p?
-840*p**3
Suppose -g - 15250 + 55827 = 0. Find the first derivative of 76 - g*c**3 + 10*c**4 + 5*c**4 + 40574*c**3 wrt c.
60*c**3 - 9*c**2
Let a(p) = 171*p**4 - 13*p**2 - 13*p - 2533. Let z(d) = 85*d**4 - 6*d**2 - 6*d - 1266. Let n(g) = -6*a(g) + 13*z(g). Differentiate n(c) with respect to c.
316*c**3
Let c(a) = 2*a**2 + 10*a - 53. Let o be c(5). What is the third derivative of 0*k**5 - 3*k**5 - 4*k**5 + 3*k**5 - o*k**2 + 2*k wrt k?
-240*k**2
Let z(o) be the second derivative of -409*o**6/30 - 580*o**3/3 - 2*o + 205. What is the second derivative of z(y) wrt y?
-4908*y**2
Find the second derivative of -124 - 4*l + 97 - 2579*l**3 + 9*l + 24 wrt l.
-15474*l
Let x(c) be the first derivative of -2/5*c**5 - 11/7*c**7 + 0*c**4 + 0*c**2 + 0*c**6 - 47 - 44/3*c**3 + 0*c. What is the third derivative of x(p) wrt p?
-1320*p**3 - 48*p
Let v = 12120 + -36349/3. Let q(m) be the first derivative of 0*m + 0*m**3 + 0*m**5 + 0*m**4 + v*m**6 + 3*m**2 + 14. Find the second derivative of q(z) wrt z.
440*z**3
Let d(u) = -3200*u - 2493. Let j(o) = -90*o - 1. Let w(b) = -d(b) + 6*j(b). What is the first derivative of w(x) wrt x?
2660
Let a(q) be the first derivative of 339*q**5/5 - 2*q**4 - 143*q**2 + 4*q - 2619. What is the second derivative of a(y) wrt y?
4068*y**2 - 48*y
Let l(a) = a**2 + 12*a - 8. Let x be l(-13). Let o(n) = -n**3 + 2*n + 5. Let s be o(0). Find the second derivative of -2*u - 4*u + u**x + 7*u**s wrt u.
160*u**3
What is the second derivative of -830*j**2 - 1328*j + 695*j**4 + 1661*j**2 - 830*j**2 wrt j?
8340*j**2 + 2
Differentiate -611 - 46*b**3 - 1092*b**3 - 94*b**3 - 212*b**3 wrt b.
-4332*b**2
Let b(y) = -2009*y**2 - 15*y + 881. Let n(z) = -3*z**2 + 3*z + 1. Let j(s) = b(s) + 5*n(s). What is the first derivative of j(m) wrt m?
-4048*m
Let q(l) = -l**2 - 25*l - 152. Let w be q(-11). What is the derivative of 5*s**2 + 16*s + s**w + 14*s - 50*s - 187 + 6*s wrt s?
12*s - 14
Let p(d) be the second derivative of 9*d**7/14 - 2*d**5/5 - 4*d**4/3 - 13*d**3/6 + 4210*d. What is the third derivative of p(k) wrt k?
1620*k**2 - 48
Suppose 9*z - 19 = 17. What is the first derivative of 65*b**4 - 45 + 35*b**z + 4 wrt b?
400*b**3
What is the third derivative of -851*s**3 - 1126*s**2 - 1799*s**2 + 1029*s**2 wrt s?
-5106
Find the third derivative of -5011*j**6 + 4216*j**2 - 20*j**3 - 14*j**5 + 5008*j**6 + 12*j**5 wrt j.
-360*j**3 - 120*j**2 - 120
Differentiate 65562*n**2 - 424 + 65019*n**2 - 157 - 129762*n**2 wrt n.
1638*n
Let x(z) = 7485*z**3 + 9*z**2 - 3122*z - 18. Let n(f) = 7484*f**3 + 8*f**2 - 3119*f - 15. Let y(p) = 6*n(p) - 5*x(p). Find the third derivative of y(i) wrt i.
44874
Find the third derivative of 771*o**3 - 248*o - 132*o + 376*o - 63*o**2 wrt o.
4626
Let a be 1 + 8/(48/1338). Find the second derivative of 11*n**2 - 2*n**2 + 2*n**2 - 8420 + n**4 - a*n + 8420 wrt n.
12*n**2 + 22
Let r(j) = j**5 - j**4 - j**3 - j. Let o(l) = -436*l**5 - 3*l**4 - 4*l**3 + 550*l - 2. Let b(t) = -o(t) + 4*r(t). Find the second derivative of b(s) wrt s.
8800*s**3 - 12*s**2
Let w be 0 + (-1 - -3) + (-9 - -13). Differentiate -23*f**3 - 32*f**3 + w*f**3 - 3 with respect to f.
-147*f**2
Find the second derivative of 0*p**2 + 16 - 7 + 100*p**3 + 4*p**2 - 2*p**2 - 8 + 537*p wrt p.
600*p + 4
Find the third derivative of 35*l + 1407*l**6 + 21*l**5 - 21*l**5 + l**6 + 25*l**2 + 236*l**6 wrt l.
197280*l**3
Let j(h) = -8*h**3 - h**2 + 2*h + 3. Let n be j(-1). What is the derivative of -121*t - 116 + 6*t - n*t wrt t?
-123
Let i(o) be the third derivative of 11*o**7/210 - 17*o**6/40 - 17*o**5/60 + 5*o**4/3 - 6031*o**2. What is the third derivative of i(k) wrt k?
264*k - 306
Suppose a - 1017 = -3*w + 309, -2*a - 876 = -2*w. Find the first derivative of -30 - 441*n - 12 - 74*n**2 + w*n wrt n.
-148*n
What is the second derivative of -263 + 707*u**4 + u**2 + 1000 + 2*u - 479 wrt u?
8484*u**2 + 2
Let a(v) = 2*v**2 + 8*v - 20. Let j be a(-6). Differentiate j*o + 8 + 50*o - 67 + 157 wrt o.
54
Suppose -37*h + 30*h = -385. Find the third derivative of -34*i - 44*i**4 + 28*i**4 - h*i**4 - i**2 wrt i.
-1704*i
Let q(h) be the third derivative of h**9/504 + 158*h**8/21 - 181*h**5/60 + 7*h**4/24 + 5*h**2 + 383*h - 2. Find the third derivative of q(i) wrt i.
120*i**3 + 151680*i**2
What is the first derivative of -50*c - 9640 - 11*c**2 - 587 - 25*c**2 + 25*c**2 wrt c?
-22*c - 50
Let f(w) be the first derivative of 159 + 153/5*w**5 + 4/3*w**3 + 0*w**2 + 0*w**4 + 15*w. What is the third derivative of f(x) wrt x?
3672*x
Suppose -88 = -0*f - 3*f - 2*j, -2*f + 54 = -j. Suppose -2*l - f = -4*l. What is the first derivative of -12*k**3 + 6*k**3 + l + 1 wrt k?
-18*k**2
Suppose -2*c = -3*v + 170, -4*v + 56 = -5*c - 159. Let m = v - 56. What is the second derivative of 36*d**m - 11*d**4 + 11*d + 7*d wrt d?
300*d**2
Let v = 5765 - 5765. Let b(s) be the third derivative of 0*s + 7*s**2 - 1/3*s**4 - 13/120*s**6 + v + 0*s**5 + 0*s**3. Find the second derivative of b(d) wrt d.
-78*d
Let v(p) = 1955*p**2 + 4492*p + 9. Let l(k) = 490*k**2 + 1123*k + 2. Let x(s) = 9*l(s) - 2*v(s). Find the second derivative of x(n) wrt n.
1000
Let x = -109 - -111. Suppose 3*h - 4*h = 5*a - 9, -4 = -a + x*h. Differentiate -35 + 15 - 2*u**2 - 5*u**a wrt u.
-14*u
Let w(o) be the third derivative of 0 - 63*o**2 + 1/6*o**5 - 9/8*o**4 + 0*o + 0*o**3 + 0*o**6 + 1/210*o**7. Find the second derivative of w(a) wrt a.
12*a**2 + 20
Find the second derivative of 46*v - v**2 + 50*v - 86*v**5 - 16 - 4*v**4 + 0*v**4 wrt v.
-1720*v**3 - 48*v**2 - 2
Let r be ((-36)/8)/(6/(-8)). Suppose 2*c - 4*h - 5 = 9, 0 = 3*c + 2*h - 5. What is the first derivative of r*z + c*z - 31 + 26 wrt z?
9
Find the second derivative of -23*t**2 - 3132*t**3 - 7694*t**3 - 6158*t + 23*t**2 wrt t.
-64956*t
Suppose 68 + 0 = 9*z + 32. Let f(t) be the third derivative of -3/2*t**3 - 7*t**2 + 13/60*t**5 + 0*t + 0 + 0*t**z. What is the derivative of f(k) wrt k?
26*k
Find the third derivative of -65*h**4 + 8*h**4 + 3*h**5 + 23*h**2 + 10*h**4 + 33*h wrt h.
180*h**2 - 1128*h
Suppose -u - b + 6 = 2*u, -3*b - 21 = -4*u. Let i be 5 + (5 - (u + 0))/(-2). What is the second derivative of -2*m**4 - 4*m**4 + 5*m**i + 25*m + 2*m**4 wrt m?
12*m**2
Let h(s) be the first derivative of 1394*s**7/7 + 2*s**3/3 + 483*s**2/2 - 927. Find the third derivative of h(y) wrt y.
167280*y**3
What is the second derivative of -3*g**4 - 5*g + 667 + 711 + 33*g**5 - 1407 wrt g?
660*g**3 - 36*g**2
Let s(m) be the second derivative of -3793*m**3/2 + 5297*m**2 - 5*m + 66. What is the derivative of s(w) wrt w?
-11379
What is the second derivative of 1382*a + 1685*a**2 + 49039 - 24519 - 24520 wrt a?
3370
Let c(f) be the third derivat