hat is the second derivative of 34 + 5*b**2 - 20*b + l*b**3 - 33 - 5*b**2 wrt b?
1140*b
Suppose -4*d = 13*l - 8*l - 218, -d = -2*l - 48. What is the second derivative of 0*v**2 - d*v - 78*v + 0*v**2 - 100*v - 98*v**4 wrt v?
-1176*v**2
Suppose 2 = b, 152*x - 155*x + 11 = -5*b. Let c(w) be the first derivative of -11 + x*w**2 + 15/4*w**4 + 0*w**3 + 0*w. Find the second derivative of c(y) wrt y.
90*y
Let d(k) = k**3 + k - 3. Let p(b) = 5*b**3 - 319*b - 1355. Let o(t) = -4*d(t) + p(t). Differentiate o(r) wrt r.
3*r**2 - 323
What is the second derivative of 20*z - 355*z - 1133*z + 238*z + 1277*z**2 wrt z?
2554
Let l = 6 + -3. Let a be (1*2/(-6))/((-1)/12). What is the third derivative of 2*t**a - 27*t**3 - 21*t**3 - 11*t**2 + 48*t**l wrt t?
48*t
Find the third derivative of -4*y**6 + 530038*y**2 + 3*y**6 - 530041*y**2 + 70 - 1501*y**3 wrt y.
-120*y**3 - 9006
What is the second derivative of -3652*m**2 - 889 - 668 + 2*m**3 - 3*m - 223*m**2 + m wrt m?
12*m - 7750
Let h(d) = -31*d**2 - 135*d + 1666. Let y(s) = 108*s**2 + 405*s - 5000. Let i(m) = 7*h(m) + 2*y(m). What is the first derivative of i(l) wrt l?
-2*l - 135
Let y(i) = -70*i**2 - 12*i - 629. Let h(p) = 217*p**2 + 34*p + 1887. Let q(x) = -6*h(x) - 17*y(x). What is the derivative of q(a) wrt a?
-224*a
Find the third derivative of -4*m**4 + 4*m**4 + 49439*m**2 - 48404*m**2 - 535*m**6 wrt m.
-64200*m**3
Differentiate 985 + 723*m**3 + 1636*m**3 - 74*m**3 - 2114 - 2097 with respect to m.
6855*m**2
Let f(k) = 340*k**3 - 830*k**2 + 8. Let u(g) = 3*g**3 - 2. Let x(n) = f(n) + 4*u(n). Find the third derivative of x(i) wrt i.
2112
Let l(p) be the third derivative of 7*p**6/24 + p**5/6 - 47*p**4/6 + 3*p**2 + 333*p. What is the second derivative of l(j) wrt j?
210*j + 20
Let q(y) be the second derivative of -94*y**6/15 + y**4/12 + 55*y**3/3 - 3*y**2/2 + 906*y. What is the second derivative of q(k) wrt k?
-2256*k**2 + 2
Suppose 0 = 5*f + 8 - 43. Suppose -f*y + 6 = -8. Find the second derivative of -3*z + 0*z**4 + 4*z - y*z + 4*z**4 wrt z.
48*z**2
Suppose -51 = 6*n - 63. What is the first derivative of -64 - 12*c**2 - 11*c**2 + 6*c**n + 39*c**2 wrt c?
44*c
Let f(m) = 2283*m**2 - 3479*m. Let g(y) = 3426*y**2 - 5220*y. Let z(i) = 13*f(i) - 9*g(i). Find the second derivative of z(n) wrt n.
-2310
What is the derivative of 532*f**2 + 110*f**2 - 673 - 265 - 3399*f**2 wrt f?
-5514*f
Find the second derivative of -166*l + 3678*l**4 + 3 - 339*l + 928*l**4 + 137*l - 110*l wrt l.
55272*l**2
Suppose -21 = 5*o - 36. Differentiate 3*r**o - 230*r**4 + 65*r**4 - 72 - 3*r**3 with respect to r.
-660*r**3
Let p(z) be the third derivative of -29*z**7/105 - z**6/60 + 7*z**5/60 + 6*z**4 + 3446*z**2. What is the second derivative of p(y) wrt y?
-696*y**2 - 12*y + 14
Let c(m) = 224*m - 93 + 171*m - 138*m. Let k(g) = -4*g. Let f(l) = c(l) - k(l). What is the first derivative of f(q) wrt q?
261
Let g(h) be the third derivative of -h**7/210 + 13*h**6/120 + h**5/20 + 53*h**4/12 - 2464*h**2. Find the third derivative of g(s) wrt s.
-24*s + 78
Let i be -4*4/(-72) - (-97)/9. Suppose 0 = -3*g - t + i, -4*g + 5*t = -9 - 12. What is the second derivative of 37*r + 13*r**5 + 264*r**g - 264*r**4 wrt r?
260*r**3
Suppose 0 = -9*g + 16 + 56. Suppose -65 + 345 = g*t. What is the second derivative of -524 - t*h**3 + 524 - 34*h wrt h?
-210*h
Let y = -88 + 141. Suppose -y*s + 55*s = 4. Find the first derivative of 13*f**2 + s*f**2 - 24 - f**2 wrt f.
28*f
Let x(a) be the first derivative of 4*a**3 + 48*a**2 - 3252*a - 54. Find the first derivative of x(d) wrt d.
24*d + 96
Let v(l) be the first derivative of -27*l**5/5 + 51*l**4/4 + l**2/2 + 3521*l - 2215. What is the second derivative of v(r) wrt r?
-324*r**2 + 306*r
Let c(x) = -25*x**2 - 132*x - 2. Suppose -13*y - 4 = 48. Let v(t) = -26*t**2 - 131*t - 2. Let p(h) = y*v(h) + 5*c(h). Find the second derivative of p(l) wrt l.
-42
Let n(i) be the first derivative of -311 - 1/4*i**4 - 25/3*i**3 + 0*i**2 - 80*i. Find the first derivative of n(g) wrt g.
-3*g**2 - 50*g
Suppose -2*d - 9 + 17 = 0. Suppose -q - d*q + 5*y + 900 = 0, -3*q + 542 = -4*y. What is the third derivative of q + 7*h**2 - 4*h**6 - 178 wrt h?
-480*h**3
Suppose 4*l + 61 - 73 = 0. Find the third derivative of 40*j**3 - 14*j**l + 24*j**3 + 47*j**2 wrt j.
300
Let d be (-1)/(-3)*(12 + 90). Differentiate 2642*q**2 - 2639*q**2 + q - 3 + d with respect to q.
6*q + 1
Find the third derivative of -137*c**2 + 233*c**5 - 2*c**4 - 125*c**2 - 2 + c - 231*c**5 - 703*c**6 wrt c.
-84360*c**3 + 120*c**2 - 48*c
Let w(v) be the third derivative of 337*v**8/112 - 5*v**5/12 - v**4/4 - 991*v**2. What is the third derivative of w(l) wrt l?
60660*l**2
Let j(d) = 3*d**2 - 7*d. Let a(g) = -1670*g**2 + 42*g - 746. Let k(m) = -a(m) - 6*j(m). Differentiate k(w) wrt w.
3304*w
Suppose 3*v - 6*v + 60 = 0. What is the derivative of -5*s**3 - 3 - 29 + 11 - 2*s - v wrt s?
-15*s**2 - 2
Let l be (936/(-16))/13*(-4)/6. Suppose 2*f = 4*f - l*q - 20, 5*f + 5*q = 0. What is the first derivative of -38 + 0*a**f + 9*a + 2*a**4 - 5*a wrt a?
8*a**3 + 4
Let k(x) = -3*x**4 + 40*x**2 - 4350*x. Let m(d) = 2*d**4 - 42*d**2 + 4348*d. Let t(s) = 3*k(s) + 4*m(s). Find the second derivative of t(n) wrt n.
-12*n**2 - 96
Suppose 4*s - 28 = -r, -4*s = -3*r - s + 9. Suppose 10 = x + r. Find the second derivative of 19*f - 14*f + 6*f + 4*f**x wrt f.
8
Suppose -22 = -38*a + 27*a. Let y = -4 + 5. What is the derivative of -16 + y - 8 + 14*k**a wrt k?
28*k
Let u(v) = -12*v**2 + 3586*v + 9318. Let w(s) = 5*s**2 - 1795*s - 4659. Let p(o) = -3*u(o) - 7*w(o). Find the first derivative of p(k) wrt k.
2*k + 1807
Differentiate -p - 232 - 3*p**3 + 283*p**2 - 226*p**2 + p with respect to p.
-9*p**2 + 114*p
What is the first derivative of -603 - 9647*i**3 - 8601*i**3 + 19370*i**3 wrt i?
3366*i**2
Suppose -6*q + 4*l = -10*q + 12, 2*q - 5 = -l. Suppose 3*o = -5*a + 5, -a = -4*a - 4*o - 8. Find the first derivative of -46 + q*b + a*b + 62 wrt b.
6
Let x be 2/3 - 256/6. Let q be (-72)/x + (-2)/(-7). What is the third derivative of 15 - 4*w**4 - 10 - w**q - 5 wrt w?
-96*w
Let c(t) = 851*t - 2830. Let p(b) = 2553*b - 8521. Let a(v) = -11*c(v) + 4*p(v). What is the derivative of a(y) wrt y?
851
Let f be -1 + 4882/16 + 23/(-184). What is the third derivative of 11*a**2 + 306*a**6 - 46*a**3 + 48*a**2 - 30*a**3 - f*a**6 wrt a?
240*a**3 - 456
Suppose 0 = -3*h - 7 + 1. Let g = 1 - h. Find the first derivative of -7 - 12*x**g + 14 + 7 wrt x.
-36*x**2
What is the first derivative of 194*s**2 - 2324 - 324*s**2 - 5*s**2 - 362*s**2 - s**4 wrt s?
-4*s**3 - 994*s
Let n(d) be the first derivative of 1459*d**6/6 + 89*d**3/3 - 4*d - 574. Find the third derivative of n(z) wrt z.
87540*z**2
Let f(j) be the first derivative of -2869*j**3/3 - 1305*j + 844. Differentiate f(b) with respect to b.
-5738*b
Let w(x) = 3693*x**2 + 14*x - 2521. Let t(o) = -1847*o**2 - 6*o + 1257. Let s(j) = 7*t(j) + 3*w(j). Find the first derivative of s(i) wrt i.
-3700*i
Let a(g) = -g**3 - 17*g**2 + 10*g + 45. Let l be a(-18). What is the second derivative of -20*h**3 - 131*h**2 + 16*h**3 + 115*h**2 + l*h wrt h?
-24*h - 32
Let c = -306 + 322. Find the first derivative of d**2 - c + 15 - 2 + 31*d wrt d.
2*d + 31
Let k(s) = 2*s - 24. Let z be k(5). Let n = 17 + z. Differentiate -15*x**2 + 1 + 11 - n wrt x.
-30*x
Let m(c) be the second derivative of 457*c**5/20 + c**3/6 - 796*c**2 + 2947*c. Find the second derivative of m(x) wrt x.
2742*x
Let f(k) = 1630*k**3 + 6*k**2 + 12*k - 6. Let y(c) = 1630*c**3 + 8*c**2 + 13*c - 10. Let l(p) = 4*f(p) - 3*y(p). What is the second derivative of l(r) wrt r?
9780*r
Let z(w) = w**2 - w - 2. Let a(g) = 3680*g**2 - 4420*g + 8. Let f(o) = -a(o) - 4*z(o). What is the second derivative of f(r) wrt r?
-7368
Let r = 2 - -1. Suppose 4*q - 5 = r. What is the first derivative of 0*u**q + 2*u**2 - u**2 + 4*u**2 + 13 wrt u?
10*u
Let d be (0 - -2)*1 - (12 + -15). Find the second derivative of 146*w**2 - 72*w**2 - 15*w**d - w - 16 - 74*w**2 wrt w.
-300*w**3
Let z = -10207 + 10211. Let w(u) be the second derivative of 0 - 1/3*u**z + 18*u + 1/6*u**3 + 0*u**2. What is the second derivative of w(s) wrt s?
-8
Differentiate 1801 - 2006*k**4 - 357558*k**2 + 357558*k**2 with respect to k.
-8024*k**3
Find the first derivative of -2966*s - 2949*s 