9*g + 24*g**2 + 2407 + 19*g + 16*g - 47*g**2 with respect to g.
6*g + 114
Suppose 0 = 5*m - 5*r + 5, -2*m - 2*r - 2*r + 22 = 0. Find the second derivative of -1790*z - m + 4 - 32*z**2 + 1786*z wrt z.
-64
Suppose -3*w + g + g + 70 = 0, 3*g + 28 = w. Find the second derivative of -79*p + w*p + 26*p - 63*p**2 wrt p.
-126
Let u(d) be the third derivative of -d**7/210 - 77*d**6/60 - 65*d**4/12 - 1148*d**2. What is the second derivative of u(w) wrt w?
-12*w**2 - 924*w
Let c = -58 + 105. Let y = 51 - c. What is the derivative of -26 + 25*u**y - 6*u**4 + 47 wrt u?
76*u**3
Let g(c) be the second derivative of 421*c**4/6 - 520*c**2 + c - 39. Differentiate g(i) with respect to i.
1684*i
Let w(l) = -l**3 - 12*l**2 - 11*l + 3. Let q be w(-11). Suppose 5*b = q*b. What is the second derivative of b + 12*g + 0 - 2*g**2 wrt g?
-4
Let r be (-18)/24*(-1 - 3). Find the third derivative of -630*n**3 + 8*n**4 - 629*n**r - 2*n**5 + 1259*n**3 + 24*n**2 wrt n.
-120*n**2 + 192*n
Suppose j = -3*k + 60, -2*k - 2*j + 33 = j. Suppose -18*y + k*y = 9. Find the second derivative of n**y - n**3 + 16*n**4 - 41*n**4 + 12*n wrt n.
-300*n**2
Let r = 5409 - 5409. Let o(f) be the third derivative of 20*f**2 + 0 + 2*f**3 + r*f + 7/24*f**4. What is the first derivative of o(p) wrt p?
7
Find the third derivative of -32 + 4117*r**4 + 1726*r**2 + 182*r**2 + 20 + 12 wrt r.
98808*r
Let l(p) = -13*p + 1. Let f be l(-1). Suppose -25*v = -15*v - 129*v + 476. Find the second derivative of 29*x + v*x + f*x**4 + 3*x + x**4 wrt x.
180*x**2
Suppose 5*g = 5*h - 0*h + 40, -g + 20 = -4*h. What is the third derivative of -59 + 18 + 145 + 2*d**2 + 152*d**g wrt d?
3648*d
Let n = 252 - 248. Let m be (-22)/(-99) + (-34)/(-9). Find the first derivative of -11*q**n + 11 - 7 + 4*q**m wrt q.
-28*q**3
Let n(r) = -11*r**2 - r + 69. Let t(o) = o - 70 - 14*o**2 + 27*o**2 + 0*o**2. Let z(k) = 5*n(k) + 6*t(k). What is the first derivative of z(g) wrt g?
46*g + 1
Let l(h) = -190*h + 15. Let q be l(-7). Suppose -q - 7327 = -4*a. Find the first derivative of a*o**3 + 43 - 9 - 2198*o**3 wrt o.
-90*o**2
Let j(g) be the third derivative of 0*g**4 + 0*g**6 - 11/210*g**7 + 20/3*g**3 + 0*g**5 - g**2 - 87*g + 0. Differentiate j(c) wrt c.
-44*c**3
Let k = -86 + 112. Let s = -24 + k. Find the first derivative of -3*d**4 - s*d**4 - 8*d**4 - 21 - 3*d**4 wrt d.
-64*d**3
Let f(h) = -h**3 + h. Let x(q) = 44*q**3 + 2*q + 41. Let y be (-2 + 8)/1 + -4. Let a(v) = y*f(v) - x(v). What is the derivative of a(j) wrt j?
-138*j**2
Let r(p) be the first derivative of -1/2*p**4 + 1/3*p**3 + 1/2*p**2 + 234 + 159*p. What is the second derivative of r(h) wrt h?
-12*h + 2
Let b(g) = -g**2 - 11*g + 29. Let a be b(-13). Let v be a*30/18 + 97. Differentiate 2*q + 148 + 0*q - q - v + 32*q**2 with respect to q.
64*q + 1
Let w(j) = j**3 - j**2 - j. Let g(m) = -846*m**3 + 7*m**2 + 6*m + 186. Let u(n) = g(n) + 6*w(n). Find the third derivative of u(h) wrt h.
-5040
Let s(a) = -a + 10. Let p be s(6). Suppose -d - p*d + 75 = 0. What is the second derivative of 10*j**2 + 15*j - 7*j - 10*j - d*j wrt j?
20
Let n(h) = -20042*h - 8494. Let t(p) = 70141*p + 29731. Let a(f) = -18*n(f) - 5*t(f). What is the derivative of a(v) wrt v?
10051
Let g(n) be the first derivative of -54*n**2 + n**4 + 184 - 5/3*n**3 + 0*n. Find the second derivative of g(j) wrt j.
24*j - 10
What is the first derivative of -4614 + 19 + 2029 - 7089 - 7*s - 200*s**4 wrt s?
-800*s**3 - 7
Suppose 6*i = 6 + 84. Let b = i + -9. Find the second derivative of b*f - 3*f - 11*f + 18*f**4 - 11*f wrt f.
216*f**2
Suppose -24 = -9*k + 7*k. Find the first derivative of -k*n**3 - 27 - 2*n**3 + n**2 + 5*n**3 + 131 wrt n.
-27*n**2 + 2*n
Let n be 44/33*(-9)/(-2). Suppose 65 = -n*h + 257. What is the first derivative of -70*r + 70*r - h + 24*r**3 wrt r?
72*r**2
What is the third derivative of -67*a**5 - 286*a**6 + 285*a**6 + 1448*a**2 - 16*a**5 wrt a?
-120*a**3 - 4980*a**2
Suppose 0 = -m - 3*m - 3*j - 3, 2*m = 5*j + 31. Find the second derivative of 42*h**3 - 11*h**m + 21*h**3 - 6*h**3 - 16*h wrt h.
276*h
Suppose u + 5*c + 16 = 0, -c + 3 = 3*u - 19. What is the derivative of -144*x**3 + u*x - 80 + 216 - 9*x wrt x?
-432*x**2
Let q(p) be the third derivative of p**5/30 + 431*p**4/24 - 1772*p**3/3 - 231*p**2 + 3*p. Find the first derivative of q(n) wrt n.
4*n + 431
Let b(c) = -2*c**4 + c**3. Let i(d) = -636*d**4 - 3*d**3 - 901*d - 2. Let u(l) = -6*b(l) - i(l). What is the second derivative of u(k) wrt k?
7776*k**2 - 18*k
Find the third derivative of -9*s**3 - 7*s**4 + 337223*s**5 + 4*s - 337231*s**5 + 8*s**4 + 228*s**2 wrt s.
-480*s**2 + 24*s - 54
Let m(j) be the first derivative of -1147*j**6/3 - 283*j**3/3 + 1610. Find the third derivative of m(r) wrt r.
-137640*r**2
Let x(i) = -107*i**3 + 38*i**2 + 294*i - 4. Let a(t) = -t**3 - 4*t**2 - t. Let n(q) = -10*a(q) - x(q). Find the second derivative of n(y) wrt y.
702*y + 4
Suppose 5*o - 60 = 3*i, 2*o - 9 - 15 = -4*i. Differentiate -8*w + 43*w - 77 + o - 4*w with respect to w.
31
Suppose -4*r - 4 + 20 = 0. Let w = -1079 + 1085. What is the third derivative of -23*k**w - 11*k**r + k**2 + 11*k**4 + 6*k**2 wrt k?
-2760*k**3
Let o(g) = -14*g - 40. Let z be o(-8). Suppose 8*q + 8 = z. Find the third derivative of -2*j**5 - 21*j**3 - 1472 - q*j + 1472 + 2*j**2 wrt j.
-120*j**2 - 126
Let c be ((-2)/4*3)/(20/7720). Let t = 967 + c. Find the third derivative of 17*m**4 + 388*m**3 + 25*m**2 - t*m**3 wrt m.
408*m
Let y(p) be the first derivative of -p**4/4 + 2353*p**3/3 + 9793*p - 9008. What is the derivative of y(w) wrt w?
-3*w**2 + 4706*w
Find the second derivative of 1605*u + 177*u**4 - 2*u**3 - 460*u + 2*u**3 wrt u.
2124*u**2
Let a = -257 - -453. Suppose i - a = 3875. What is the first derivative of 40 - 4071*b**2 + i*b**2 - 19*b**3 - 2*b wrt b?
-57*b**2 - 2
Let u(o) be the second derivative of 0*o**2 - 155/6*o**3 + 20/3*o**4 + 62*o + 1. What is the second derivative of u(n) wrt n?
160
What is the third derivative of 2*z**5 + 5*z**3 - 5*z**5 + 636*z**2 - 2248*z**2 - 2468*z**2 + 3*z**6 wrt z?
360*z**3 - 180*z**2 + 30
Let w(l) be the first derivative of -17/5*l**5 + 114 + 0*l**3 + 0*l + 0*l**4 - 68*l**2. What is the second derivative of w(x) wrt x?
-204*x**2
Find the third derivative of 3*m**2 - 798*m + 1505*m + 439*m**6 - 908*m wrt m.
52680*m**3
What is the third derivative of 2522*c**3 + 531*c**3 - 10487*c**2 + 4085*c**2 wrt c?
18318
Let m(t) be the second derivative of -32/3*t**3 - 67*t - 24*t**2 + 0. What is the first derivative of m(b) wrt b?
-64
Suppose 0 = -50*c + 35*c + 60. What is the second derivative of -224*x**c - 46*x + 4512*x**3 + 46*x**4 - 4512*x**3 wrt x?
-2136*x**2
What is the third derivative of -67*c + c + 2 - 32*c**2 - 24*c**5 - 45*c**3 + 54*c**3 - 6*c**4 + 4*c**5 + 0 wrt c?
-1200*c**2 - 144*c + 54
Let w(f) be the first derivative of 0*f**3 - 23*f + 46 + 0*f**2 - 43/2*f**4. What is the first derivative of w(j) wrt j?
-258*j**2
Let j(t) = -71*t + 25*t + 147 - 48*t - 72*t. Let r(x) = -333*x + 293. Let a(i) = -9*j(i) + 4*r(i). Differentiate a(y) wrt y.
162
Let c = 409 + -406. Find the third derivative of -249*g**2 + 232*g**2 - 4*g**c + 3*g + 216*g**4 + 4*g**3 wrt g.
5184*g
Let d(y) be the second derivative of 159*y**5/4 + y**4/2 + 5*y**2/2 - y - 229. Find the third derivative of d(c) wrt c.
4770
Let d(m) be the first derivative of -13*m**6/3 + 4*m**5/5 - 139*m**2/2 - 4*m + 5251. What is the second derivative of d(c) wrt c?
-520*c**3 + 48*c**2
Let g(z) be the second derivative of -z**4/2 + 211*z**3/6 + 2013*z**2/2 + 66*z + 13. What is the first derivative of g(i) wrt i?
-12*i + 211
Let g be (-1)/30*-4 + 11560/(-75). Let m = -133 - g. What is the derivative of 129*w + 127*w - m - 222*w - 9 wrt w?
34
Let y(w) = 40*w**2 + 16. Suppose 28 = 5*s + 18. Let i(r) = 19 - 4 - 17*r**s + 57*r**2. Let o(j) = -7*i(j) + 6*y(j). Find the first derivative of o(d) wrt d.
-80*d
Let r = 34 - 24. Suppose 2*f = -r, 4*j - j = 3*f + 27. Differentiate -2*n - n - 7 + 13*n - j*n with respect to n.
6
Let m(k) = -4*k + 5. Let v be m(0). Suppose -5*o + g = -2*o - 11, v*g + 25 = 0. What is the third derivative of -82*c**5 + 106*c**5 + 2*c**2 - 8*c**o wrt c?
1440*c**2
Let k(v) be the first derivative of 53*v**5/10 + 25*v**4/2 - 88*v - 128. Let y(s) be the first derivative of k(s). What i