.
236*h + 1
What is the first derivative of 8016*j - 3520 - 16045*j - 380*j**2 + 8016*j wrt j?
-760*j - 13
Differentiate 1717 + 621*w - 621*w - 2666*w**2 + 874*w**2 with respect to w.
-3584*w
Let o(m) be the second derivative of -4313*m**6/30 + m**4/6 + 9*m**2 - 4319*m. What is the third derivative of o(x) wrt x?
-103512*x
Let y(j) be the first derivative of -6/5*j**5 + 2*j + 0*j**4 + 0*j**3 - 61 - 2*j**2. What is the first derivative of y(l) wrt l?
-24*l**3 - 4
Differentiate 971 + 6*x**4 + 102*x**2 - 3245 - 1861 wrt x.
24*x**3 + 204*x
Let l(c) be the second derivative of -23/12*c**4 + 0*c**3 + 3*c - 27*c**2 + 4. Find the first derivative of l(f) wrt f.
-46*f
Let p = 204 + -188. Find the first derivative of -69 + 68*c - 26 + p wrt c.
68
Let l(k) = k**2 + k - 1. Let f(o) = -2*o**2 - 10*o + 10. Let u(c) = -f(c) - 3*l(c). Let t be u(5). Differentiate -3 + 3*p**2 - t*p**2 - 10 + 8*p**4 wrt p.
32*p**3
Suppose 18*m = 4*m + 980. Differentiate -74 + 7*t**2 + 123 - t**2 + m*t**2 wrt t.
152*t
Suppose 0*p - 5*p + 105 = 5*m, -4*m + 4*p = -52. Suppose 0 = 19*y - m*y - 14. What is the second derivative of 25*s - 5*s + 3*s + y*s**4 wrt s?
84*s**2
Let r(n) be the first derivative of n**5/5 + 585*n**4/2 + 4*n**3/3 + n**2/2 - 85*n + 9677. Find the third derivative of r(o) wrt o.
24*o + 7020
Find the second derivative of 12*l - 9*l**3 + 41*l + 600809*l**5 - 600759*l**5 + 37 wrt l.
1000*l**3 - 54*l
Let g = -388 + 951. Let r(b) be the first derivative of -47*b - 523 + 7*b**4 - 3*b**4 + g + 5*b**4. Differentiate r(w) with respect to w.
108*w**2
Let s(t) be the second derivative of -23/10*t**5 - 83/2*t**2 + 0*t**3 - 49*t + 0 + 0*t**4. What is the derivative of s(h) wrt h?
-138*h**2
Let l(n) be the second derivative of 551*n**8/28 - n**5/10 + 3*n**4/4 - 124*n**3/3 + n**2 - 579*n. What is the third derivative of l(t) wrt t?
132240*t**3 - 12
Suppose -8 = -40*g + 36*g. What is the third derivative of -94*a**g + 260*a**2 + 104*a**3 - 8*a**3 wrt a?
576
What is the derivative of -61994*q**2 - 839 - 61868*q**2 + 123962*q**2 - 4*q wrt q?
200*q - 4
Find the second derivative of -90*i**2 - 108*i**2 - 101 + 10 + i + 2 + 20 wrt i.
-396
Let n(g) be the third derivative of 155*g**9/42 + 226*g**5/5 - 697*g**2. Find the third derivative of n(m) wrt m.
223200*m**3
Suppose 746*q = 755*q - 36. What is the third derivative of -2*b**2 - 43*b + 39*b**4 - 38*b - 112*b + 198*b**q wrt b?
5688*b
Let z(n) = -n**3 - n**2 + 2*n + 8. Let d(q) = 3492*q**3 - 2*q**2 + 4*q + 6059. Let j(r) = d(r) - 2*z(r). What is the first derivative of j(g) wrt g?
10482*g**2
Let j(f) = 988*f**3 - 21*f**2 - 4*f + 307. Let n(g) = 237*g**3 - 5*g**2 - g + 77. Let x(c) = -2*j(c) + 9*n(c). What is the second derivative of x(p) wrt p?
942*p - 6
Let b(n) = -13*n**3 - 5*n**2 + 6*n + 70. Suppose -4*c + 63 = 39. Let d(v) = v. Let a(l) = c*d(l) - b(l). What is the first derivative of a(f) wrt f?
39*f**2 + 10*f
Let p = 653 - 601. What is the third derivative of -p*b**2 + 20*b**3 - 127*b**4 - 41*b**3 + 20*b**3 wrt b?
-3048*b - 6
Let p(b) be the second derivative of -b**3/6 - b**2/2 - 83*b. Let g(d) = -84*d - 52. Let i(u) = g(u) - 6*p(u). What is the derivative of i(q) wrt q?
-78
Let y(p) be the first derivative of -p**3/3 - 227*p**2/2 + 400*p + 2102. Differentiate y(i) wrt i.
-2*i - 227
Let u(y) = -2031*y**2 + 3*y - 1955. Let v(p) = 2034*p**2 - 2*p + 1956. Let m(h) = -2*u(h) - 3*v(h). What is the derivative of m(s) wrt s?
-4080*s
Differentiate -25*l - 21*l + 2*l**3 - 5*l**3 - 9*l - 1117 + 9*l**3 wrt l.
18*l**2 - 55
Let z(b) be the first derivative of -503*b**3 + 1450*b - 718. Differentiate z(o) with respect to o.
-3018*o
Suppose 3*h - 14 = 2*g, 0*h + 2*g + 12 = 2*h. Let a(x) be the first derivative of 5*x + 17/3*x**3 + 8 + 0*x**h. What is the first derivative of a(o) wrt o?
34*o
Find the second derivative of -2843*y - 2287*y + 6*y**2 - 3722*y**3 - 6*y**2 wrt y.
-22332*y
Let f(j) = j**2. Let o(k) = 30*k - 41. Let x(u) = -f(u) + o(u). Let m be x(28). Find the second derivative of -m*i**3 - 8*i**3 + 10*i + 10*i**3 - 5*i**3 wrt i.
-108*i
Let j(s) = -52*s + 58. Let d(v) = 52*v - 57. Let c be (-6 - (0 - 4))*(-1 + 0). Let l(m) = c*j(m) + 3*d(m). Differentiate l(u) with respect to u.
52
Let l = -759 - -934. What is the third derivative of 173*z**3 - 346*z**3 + 138*z**2 + 138*z**4 + l*z**3 wrt z?
3312*z + 12
Differentiate -723*o + 1449 - 1573*o + 1333*o wrt o.
-963
Let p(t) = -35*t**3 - 6*t**2 - t + 4. Let u be p(-2). Suppose u = 7*q - 193. What is the first derivative of 5*m**2 - 5*m**2 - 53 - 3*m**4 + q wrt m?
-12*m**3
Let i(m) = -380*m**3 - 1505*m**2 - 24*m - 10. Let f(s) = 127*s**3 + 502*s**2 + 9*s + 4. Let q(r) = -8*f(r) - 3*i(r). What is the third derivative of q(o) wrt o?
744
Let k = 629 + -627. Let s(z) be the third derivative of -1/60*z**5 + 0 + 8*z**k + 0*z - 3/2*z**3 + 0*z**4. What is the first derivative of s(f) wrt f?
-2*f
Let g be (-180)/(-85) + -2 + 729/306. Let x(t) be the second derivative of 0*t**3 - 7/4*t**4 + g*t**2 + 20*t + 0. What is the first derivative of x(b) wrt b?
-42*b
Suppose 0 = 4*h - 36 - 0. Suppose -18 = 6*d - h*d. Differentiate 9*a**2 - 11 - 9*a**2 + d*a**4 with respect to a.
24*a**3
Let q(s) = -2*s**2 + 73*s + 57. Let c(d) = -2*d**2 + 72*d + 56. Let x = 427 - 429. Let w(b) = x*q(b) + 3*c(b). Find the first derivative of w(r) wrt r.
-4*r + 70
Let i(x) be the second derivative of x**7/14 - 55*x**6/3 + 451*x**4/6 - 214*x + 5. What is the third derivative of i(f) wrt f?
180*f**2 - 13200*f
Suppose 5*b - 2*m = 14, 8*m = -b + 4*m + 16. Suppose 0 = -v - 1 + b. Find the third derivative of 18*f**2 - 9 + 9 + 7*f**v + f**2 wrt f.
42
Let m(j) = 1523*j**3 - 20*j**2 + 4. Let g(c) = 3044*c**3 - 41*c**2 + 6. Let b(y) = -6*g(y) + 13*m(y). What is the third derivative of b(z) wrt z?
9210
Let p be ((-644)/(-35))/(2/5). Let j = p - 44. Find the third derivative of t**j - 3*t**4 + 29*t**3 - 29*t**3 wrt t.
-72*t
Suppose -33*y - 300 = -2676. Differentiate 145*z + 114*z + 94 + y*z - 22*z with respect to z.
309
Let a(b) be the third derivative of 213*b**6/4 + 4657*b**3/6 - 131*b**2 + 12*b. Differentiate a(y) wrt y.
19170*y**2
Suppose 322 = 2*q - 4*s, 4*q - 4*s - 151 = 3*q. Suppose k = 10*k - q. What is the second derivative of 8*r + k*r**2 + 2*r**2 - 9*r - 11*r wrt r?
42
Let o(d) = 3210*d**2 - 13552*d - 16. Let k(n) = -3216*n**2 + 13552*n + 20. Let b(c) = -4*k(c) - 5*o(c). What is the second derivative of b(p) wrt p?
-6372
Let g(q) be the third derivative of q**8/336 - 211*q**7/210 - q**5/60 - 41*q**4/8 - q**2 - 695*q. What is the third derivative of g(z) wrt z?
60*z**2 - 5064*z
Let n(t) be the first derivative of 377*t**6/6 + 293*t**2 + 1348. What is the second derivative of n(o) wrt o?
7540*o**3
Let w be -2*1/(-10) + 297/165. What is the second derivative of 35 + 53*q**2 - 31 + 31*q**w + 5*q wrt q?
168
Let k(d) = -9700*d**4 - 42*d**2 + 8*d + 645. Let o(j) = -7*j**2 + 3*j - 1. Let f(t) = k(t) - 6*o(t). What is the second derivative of f(h) wrt h?
-116400*h**2
Let a(x) be the third derivative of 0*x**6 + 0*x - 190*x**2 + 1/12*x**4 - 233/210*x**7 + 0 + 0*x**5 - 8/3*x**3. What is the second derivative of a(m) wrt m?
-2796*m**2
Let k(f) be the first derivative of -89*f**4/4 - 13*f**2/2 + 4833*f + 2971. What is the first derivative of k(r) wrt r?
-267*r**2 - 13
Suppose -x - 3*s = 3*x - 23, -3*x + s + 1 = 0. What is the second derivative of m**4 - 20934*m**x + 20934*m**2 + 3*m**3 - 3*m wrt m?
12*m**2 + 18*m
Suppose 5*t - 5*u - 40 = 0, 2*t + u = t + 2. What is the third derivative of -11339*a**5 + 4*a**4 - 4*a**2 - 155*a + t*a**2 + 11337*a**5 wrt a?
-120*a**2 + 96*a
Find the first derivative of -130932*q - 157 + 131910*q - 49 wrt q.
978
Let t(h) = 2*h**3 - 3*h**2 + 3*h. Let w be t(2). Let y be (-2 - w/(-1))*(-40)/(-16). Differentiate -y*j**4 + 39*j**4 - 9 - 5*j**4 wrt j.
56*j**3
Let u(s) = s**2 - 12*s + 33. Let a be u(4). Find the second derivative of 6 - 22*k - a - 39*k**2 - 3 wrt k.
-78
Let i(r) = r + 20. Let w be i(-6). Let t = w + -3. Find the first derivative of t*f + f - 48 - 4*f + 57 wrt f.
8
Suppose -5*q = 3*s - 333, 4*q - s - 256 = -6*s. What is the third derivative of 2*z**2 - 82*z**4 - q*z**4 - 31 - 35*z**4 wrt z?
-4464*z
Let r = -211 - -211. Find the second derivative of 161*h + 9*h**5 - 2*h**2 - 253*h + r*h**2 wrt h.