*i - 1. What is the first derivative of h(x) wrt x?
-326*x
Differentiate -480*h**4 - 1194*h**4 + 431 - 15 + 154 with respect to h.
-6696*h**3
Find the second derivative of -26*j**4 + 50*j - 16532*j**2 - 41 + 16532*j**2 - 45*j wrt j.
-312*j**2
Let g(c) be the second derivative of 368*c**4 - 4339*c**2/2 - 4347*c. What is the first derivative of g(x) wrt x?
8832*x
Let o = 48 - 41. What is the third derivative of 56*a**2 - 4*a**3 + 24*a**6 - 3*a**3 + o*a**3 wrt a?
2880*a**3
Let l = 92 - 87. Let k be 75/12 + 4/(-16). What is the second derivative of l*w**4 + 13*w**3 - 7*w**3 - k*w**3 - 3*w wrt w?
60*w**2
Suppose -c + 4 = -0*c, 0 = 4*t + 2*c - 16. What is the second derivative of -39*j**2 + 129 - 135 - 26*j**t - 3*j wrt j?
-130
Let i = 183 + -178. Find the second derivative of -796*s**5 + 17*s + 865*s**i + 2 + 24*s wrt s.
1380*s**3
Suppose 15 = -2*i + 27. Differentiate 92*g**2 - 14 - 948*g + 948*g - i with respect to g.
184*g
Suppose 48*w - 112 = 44*w. Suppose 6*f = 4*f + w. What is the second derivative of -11*q**4 + f*q - 47*q + 15*q wrt q?
-132*q**2
Let p(l) = 3*l**2 - l + 1. Let d be p(-3). Let b = -20 + d. What is the second derivative of -2*q**2 - q + 12*q + b*q**2 wrt q?
18
Find the second derivative of -1114*o**2 + 8 + 0 - 40*o - 26*o + 15*o wrt o.
-2228
Suppose 15 = -5*s, 78 = 3*v - s + 12. Let x = 23 - v. What is the third derivative of -19*l**3 - 11*l**3 - 1328*l**2 + 1341*l**x wrt l?
-180
Let w(m) be the second derivative of 0 + 133/2*m**2 + 16/3*m**3 - 135*m. What is the derivative of w(h) wrt h?
32
Let k(g) = 570*g**2 - 12*g - 470. Let m(d) = 570*d**2 - 14*d - 472. Let o(h) = -7*k(h) + 6*m(h). Find the first derivative of o(p) wrt p.
-1140*p
Let r(v) be the second derivative of -v**5/10 + 139*v**4/12 - 403*v**2/2 - 48*v + 4. What is the derivative of r(c) wrt c?
-6*c**2 + 278*c
Let v(l) be the second derivative of -75*l + 0*l**5 + 0*l**3 + 9*l**4 + 0 - 27/10*l**6 + 0*l**2. What is the third derivative of v(f) wrt f?
-1944*f
What is the third derivative of 1872*x**3 - 1872*x**3 - 1470*x**5 - x**2 - 308 - 2021 + 0*x**2 wrt x?
-88200*x**2
Suppose -11 = -2*g - 9. Let i be (-201)/(-18) - g/6. Find the second derivative of -14 - 28*q**5 + 6 + 8 - i*q wrt q.
-560*q**3
Let g(m) be the third derivative of 0*m**3 + 0 - 65*m**2 + 0*m**6 - 125/168*m**8 + 0*m**4 - 3/4*m**5 + 0*m + 0*m**7. What is the third derivative of g(a) wrt a?
-15000*a**2
Let n(f) be the third derivative of -491*f**4/24 + 803*f**3/6 - 2*f**2 - 83. Find the first derivative of n(s) wrt s.
-491
Suppose r + 4*r + 10 = 0, 3*z - 18 = 3*r. Find the third derivative of -12*p**z + 0 + 0 + 15*p**2 wrt p.
-288*p
Let u(i) = 13*i**2 - 154*i - 621. Let s(m) = -35*m**2 + 460*m + 1863. Let o(k) = 3*s(k) + 8*u(k). Differentiate o(q) wrt q.
-2*q + 148
Let k be 5/(-5) - (-16)/4. What is the first derivative of 5 - 258*r + 258*r + 7 - 17*r**k wrt r?
-51*r**2
Let h(z) be the first derivative of -2221*z**4/4 - 4162*z**3/3 + 195. Find the third derivative of h(u) wrt u.
-13326
Let f(q) be the first derivative of -107*q**6/6 + 2*q**3/3 + 3151*q**2/2 - 1655. What is the second derivative of f(z) wrt z?
-2140*z**3 + 4
Let d(k) be the first derivative of -13*k**3 - 3/2*k**2 - 84 + 0*k. Find the second derivative of d(x) wrt x.
-78
Suppose -3*t + 5*u + 111 = 0, -t + 5*u + 185 = 4*t. Let p = 39 - t. Find the third derivative of 25*z**4 + 26*z**2 + 25*z**2 - 60*z**p wrt z.
600*z
Let u(j) be the second derivative of 0*j**3 + 20/3*j**4 + 32*j - 31*j**2 + 0. What is the derivative of u(s) wrt s?
160*s
Let y(w) be the third derivative of 0*w**3 + 0 + 49/8*w**4 + 0*w**6 - 2*w**2 + 0*w**5 + 61/70*w**7 - 39*w. What is the second derivative of y(i) wrt i?
2196*i**2
Let s(j) be the first derivative of 19*j**4/3 - 57*j**2/2 + 50*j + 10. Let l(n) be the first derivative of s(n). What is the derivative of l(i) wrt i?
152*i
Suppose 2*h + 598 = 5*n, 6*h + 358 = 3*n + 5*h. Differentiate 14*j**2 + 53 - n - j + 36 with respect to j.
28*j - 1
Let t be (-370)/(-60) + (2 - 5) + -1. Let m(h) be the third derivative of 0*h - 1/12*h**4 + t*h**3 + 0 - 14*h**2. Differentiate m(u) wrt u.
-2
Let p(s) be the second derivative of -3698*s**3/3 - 591*s**2/2 - 94*s - 5. Differentiate p(b) wrt b.
-7396
Let q(s) be the second derivative of 487*s**3/6 - 389*s**2/2 - 12*s - 19. What is the derivative of q(i) wrt i?
487
Let i(o) = 3845*o**2 + 5*o + 3894. Let n(r) = r**2 + r - 65. Let f(g) = -i(g) + 5*n(g). Differentiate f(l) wrt l.
-7680*l
Suppose 6 - 2 = 2*i. What is the third derivative of o**3 + 4*o - i*o**2 + 56*o + 4*o + o**4 wrt o?
24*o + 6
Differentiate -2556*h - 701*h + 3057 - 709*h + 86*h with respect to h.
-3880
Let w(p) be the second derivative of 0*p**2 + 0*p**3 + 0 + 8/3*p**4 + 1/15*p**6 + 0*p**5 - 120*p + 13/42*p**7. What is the third derivative of w(j) wrt j?
780*j**2 + 48*j
Let v(u) be the second derivative of 1211*u**4/2 - 5589*u**2/2 + 4573*u. What is the derivative of v(w) wrt w?
14532*w
Find the second derivative of 2*d**2 - 297 - 3*d**2 + 284 + 846*d**3 - 10*d wrt d.
5076*d - 2
Suppose 4*y = 4*t + 8, 2*y + 2*y + 10 = -2*t. Let f be 1 - ((-4 - y) + -4). What is the first derivative of f - 21 - 3*s**4 - 9*s**4 wrt s?
-48*s**3
Let p be 1*(4 - 2/2). Suppose -j - 3*r = -p*j + 4, 0 = -r. Find the second derivative of -8*q - 6*q**2 + 6*q**j - 13*q**5 + 0*q wrt q.
-260*q**3
Let d(f) be the third derivative of 2*f**2 + 7/6*f**6 + 16*f**3 + 11 + 0*f**5 + 0*f + 0*f**4. Find the first derivative of d(p) wrt p.
420*p**2
Let d(b) = b**3 + b**2. Let h(s) = 12*s**3 + 2*s**2 - 115. Suppose 20 = 5*o + 15*o. Let k(t) = o*h(t) - 3*d(t). Differentiate k(x) with respect to x.
27*x**2 - 2*x
What is the first derivative of -41*p**4 + 2794 - 63*p**4 + 0*p + 82*p**3 + 0*p - 81*p**3 wrt p?
-416*p**3 + 3*p**2
Let x(u) = 5*u - 9*u**2 - 4*u**2 + 5 + u**3 + 8*u + 0*u**2. Let a be x(12). What is the second derivative of -z - 4*z + a*z**3 - 5*z + z wrt z?
102*z
Let a(u) be the first derivative of u**5 + 0*u - 3/2*u**2 + 5/3*u**3 + 0*u**4 + 32. Find the third derivative of a(v) wrt v.
120*v
Let i(n) = -n**2 - 21*n + 27. Let a(r) = -7*r + 6. Let h be a(4). Let y be i(h). Differentiate -1 + y + 2*w**2 + 2*w**2 - 6 wrt w.
8*w
Let l = 94 - 90. What is the third derivative of 88*x**4 - 3*x**3 - 77*x**l + 5*x**2 + 2*x**3 wrt x?
264*x - 6
Suppose 70 = 57*g - 158. Differentiate -22*o - 1251 + 1065 + 162*o**g + 23*o with respect to o.
648*o**3 + 1
Find the first derivative of -132*z - 3744 - 1641*z**4 + 650 + 132*z wrt z.
-6564*z**3
Find the first derivative of -15 + 2889*k - 100 + 53 - 12183*k - 329 wrt k.
-9294
Differentiate -73*d + 309*d - 35*d**2 - 289*d - 7263 with respect to d.
-70*d - 53
Suppose 40 = 3*z + 28. Find the third derivative of u**2 + 5*u - 8*u**3 + 6*u**z - 2*u**2 - 2*u + 5*u**3 wrt u.
144*u - 18
Let p(n) be the second derivative of -57*n**2 + 14 + 1/2*n**4 - 3*n + 0*n**5 + 0*n**3 + 1/5*n**6. Find the first derivative of p(k) wrt k.
24*k**3 + 12*k
Let f be (-27)/(-15)*3 - (-12)/(-30). Find the third derivative of -63*j**f + 7*j + 7*j**2 + 7*j**4 + 66*j**5 + 8*j**4 wrt j.
180*j**2 + 360*j
Let c(b) = -64*b + 352. Let r be c(4). Find the second derivative of -30*s**2 - 2*s**5 + s - r + 169*s**2 + s**5 wrt s.
-20*s**3 + 278
What is the third derivative of -244*m**2 - 3791*m**3 + 2*m - 163*m**3 + 217*m**3 - 244*m**3 - 943*m**3 wrt m?
-29544
Let g = 174 + -164. What is the third derivative of -g*t**2 - t - 14*t**2 - 520*t**3 + 530*t**3 - 2*t**6 wrt t?
-240*t**3 + 60
Let q = -70 + 78. Suppose -5*g + q = -i, -2*i = -4*i - 3*g + 10. What is the third derivative of -29*c**5 - 36*c**i + 140*c**4 - 140*c**4 wrt c?
-1740*c**2
Let u(p) be the third derivative of -332*p**7/21 - 1403*p**3/3 + p**2 - 1942. Find the first derivative of u(y) wrt y.
-13280*y**3
Find the second derivative of -464*v**4 + 2*v - 141*v**4 + 114 + v**3 + 86*v**4 wrt v.
-6228*v**2 + 6*v
Let b(l) be the first derivative of 7546*l**5/5 - 212*l**3/3 + 2*l - 9220. Find the third derivative of b(o) wrt o.
181104*o
Suppose -9*q + 35 = -163. Find the third derivative of 37*j**2 - 82*j**2 - j**3 + q*j**2 - 13*j**6 wrt j.
-1560*j**3 - 6
Let j(b) = -88*b**3 - 6*b**2 + b - 6375. Let f(d) = 54*d**3 + 2*d**2 + 3188. Let x(m) = -5*f(m) - 2*j(m). Find the first derivative of x(o) wrt o.
-282*o**2 