49*d + 42. Let t(q) = r(q) - 21*y(q). What is the first derivative of t(c) wrt c?
28
Suppose 5*z - 9 = 21. Let i be 15 + (0 + 4 - z). Differentiate -2 - 15*l**4 - 8 + i*l**4 with respect to l.
-8*l**3
Differentiate 13*u**3 + u**2 - 20*u**3 + 452 - 16*u**3 - 31*u**3 - 1442 with respect to u.
-162*u**2 + 2*u
Let c(i) = -348*i**4 + 14*i**3 + 30*i + 3906. Let u(l) = -348*l**4 + 14*l**3 + 36*l + 3904. Let b(w) = 6*c(w) - 5*u(w). Find the first derivative of b(t) wrt t.
-1392*t**3 + 42*t**2
Differentiate 350*k + 1386*k - 27*k + 134*k - 12071 + 120*k with respect to k.
1963
Suppose -2*o + 6 = o. Find the third derivative of -26*g**2 + 3*g**4 + 50*g**6 + 50*g**o - 3*g**4 wrt g.
6000*g**3
Let q(v) be the first derivative of 33 - 31/2*v**4 + 0*v**5 + 6*v**3 + 1/6*v**6 + 0*v + 0*v**2. Find the third derivative of q(c) wrt c.
60*c**2 - 372
Suppose -2*k - y = 3 - 4, -3*k = -2*y + 2. What is the second derivative of -3*f + f - 38 + 0*f + 250*f**5 + k*f - 16 wrt f?
5000*f**3
Let l(y) be the second derivative of y**7/14 - 151*y**5/20 - 5*y**4/3 - 3*y**3 + 796*y. Find the third derivative of l(z) wrt z.
180*z**2 - 906
Let o(i) be the third derivative of 72*i**2 + 0 + 0*i - 7/6*i**4 - 3/14*i**7 + 0*i**5 + 0*i**6 + 0*i**3. Find the second derivative of o(x) wrt x.
-540*x**2
Let k be (17/(-51))/(4/(-48)). Find the first derivative of -545*t**4 + 175 - 330*t**4 + 655*t**k wrt t.
-880*t**3
What is the derivative of 1903 + 481 + 2267 - 7212*v + 226 wrt v?
-7212
Let m(f) = 22*f**3 - 11*f**2 + 5*f + 1062. Let v(h) = h**2 - h - 5. Let z(g) = -m(g) - 5*v(g). Find the first derivative of z(b) wrt b.
-66*b**2 + 12*b
Let o(b) be the second derivative of 0*b**4 + 0*b**5 - b**3 + 1 - 83/2*b**2 + 19*b + 1/30*b**6. What is the first derivative of o(q) wrt q?
4*q**3 - 6
Let s(f) = -62*f + 4*f**3 - 3*f**3 + 62*f. Let x(o) = -112*o**3 - 92. Let t(i) = -s(i) - x(i). Find the first derivative of t(d) wrt d.
333*d**2
Let g(u) be the third derivative of -5*u**7/42 + 191*u**6/120 - 2348*u**3/3 - 885*u**2 - u. Find the first derivative of g(p) wrt p.
-100*p**3 + 573*p**2
Let f(r) = -11 + r**2 + 4*r - 8*r + 14*r. Let w be f(-13). What is the second derivative of -2*a**2 - w*a + 28*a - 37*a wrt a?
-4
Let k be 0 + 2 + 0 - (12 + -10). Suppose -h + 3*r + 8 = 3*h, h - 5*r - 2 = k. What is the third derivative of -19*m**4 - 14*m**4 + 6*m**4 + 20*m**h wrt m?
-648*m
Let i be ((-609)/(-28))/((-6)/16). Let u = i - -61. Find the third derivative of -11*n**6 + 161*n**4 - u*n**2 - 161*n**4 wrt n.
-1320*n**3
Let q be (-8)/((-6 - -10)/(-4)). Find the second derivative of -2 - 50*r**5 - q + 4 + 941*r - 942*r wrt r.
-1000*r**3
Suppose -4*a + 8 = -5*y, -3*a + 3*y + 6 = 5*y. Let k be 93*84/18*a/4. Find the third derivative of 434*q**2 - k*q**2 + 24*q**4 - 221*q**2 wrt q.
576*q
What is the second derivative of -16*o**2 - 23*o**2 - 1001*o**4 - 276 + o - 647 + 39*o**2 wrt o?
-12012*o**2
Let d(a) be the first derivative of -182*a**3/3 + a**2 - 939*a + 2335. What is the first derivative of d(f) wrt f?
-364*f + 2
Let k(y) = -y - 7. Let d(s) = -792*s**2 + 8*s - 7000. Let m(x) = -d(x) - 3*k(x). Differentiate m(z) with respect to z.
1584*z - 5
Let h(s) be the first derivative of 0*s**4 + 37 - 25*s + 0*s**2 + 0*s**3 - 69/5*s**5. Differentiate h(a) with respect to a.
-276*a**3
Suppose 66 = -4*f + 6*f. Let r be (-210)/(-66) + (12/f)/(-2). Find the second derivative of 21*n**r + 27*n - 565 + 565 wrt n.
126*n
Let q(m) be the second derivative of 0 - 5/2*m**2 + 23/12*m**4 + 5/6*m**3 - 30*m. What is the second derivative of q(v) wrt v?
46
Let r(s) = -s**3 - 2*s**2 - s + 1. Let n(c) = 892*c**3 + 300*c**2 + 2*c - 2. Let z(i) = -2*n(i) - 4*r(i). Find the third derivative of z(v) wrt v.
-10680
Let y = -94 + 100. Let h(p) = 144*p**4 - 6*p**3 - 82. Let m(u) = -143*u**4 + 5*u**3 + 83. Let s(k) = y*m(k) + 5*h(k). Differentiate s(b) wrt b.
-552*b**3
Let r = 186 - 182. What is the third derivative of -r*u**2 + 1022*u**3 - 1089*u**3 - 16 + 5*u**2 wrt u?
-402
Let g(f) be the second derivative of 11*f**4/3 - 347*f**2/2 + 1090*f + 2. Find the first derivative of g(l) wrt l.
88*l
Let z(r) be the third derivative of 431*r**6/40 - 1120*r**3/3 + 826*r**2. Differentiate z(v) wrt v.
3879*v**2
Let r(t) = -2*t**2 + t + 11. Let z(g) = -602*g**2 + 523*g - 45. Let h(m) = -4*r(m) - z(m). What is the second derivative of h(d) wrt d?
1220
What is the second derivative of 1073 - 495*i**2 + 5*i**3 + 1088 + 43*i - 651*i - 2157 wrt i?
30*i - 990
Find the first derivative of -4*t**3 + t**4 + 2*t**3 - 3382 - 5*t**3 - 46*t**4 - 2*t**2 wrt t.
-180*t**3 - 21*t**2 - 4*t
Suppose -16*v + 10*v = -18. Find the third derivative of 1 + 9*f**v + 3*f**4 + 10*f**3 + 2 - 9*f**3 + 21*f**2 wrt f.
72*f + 60
Let t(q) = -17*q**4 - 4*q**3 - q - 2. Let u(x) = x. Let a be (8 - 5)*2/(-3). Let v(d) = a*u(d) + t(d). What is the second derivative of v(h) wrt h?
-204*h**2 - 24*h
Find the second derivative of 4202*f - 642 + 1756*f**3 + 212 + 208 + 222 wrt f.
10536*f
Let n(p) be the second derivative of 0*p**4 - 7 + 0*p**3 + 59/2*p**2 - 9/10*p**5 + 1/10*p**6 - 2*p. Differentiate n(z) with respect to z.
12*z**3 - 54*z**2
Let q(j) be the first derivative of 19 + 0*j**3 + 2*j + 59/2*j**4 - 48*j**2. What is the second derivative of q(v) wrt v?
708*v
Let f(s) be the first derivative of 34*s**5 + 823*s**2 - 512. What is the second derivative of f(w) wrt w?
2040*w**2
Let k = 30739/2 - 15368. Let o(y) be the second derivative of 0 + k*y**5 + 0*y**2 - 7*y + 0*y**3 - 17/12*y**4. Find the third derivative of o(d) wrt d.
180
Let d(y) = y**3 - 19*y**2 + 14*y + 62. Let t be d(19). What is the derivative of -4*x + 13 + 3*x - 357*x**2 + t*x**2 - x wrt x?
-58*x - 2
Let u(l) = 10*l - 118. Let h be u(12). What is the derivative of 378 + 65*k**2 - 14*k**h - 388 wrt k?
102*k
Let p(j) be the third derivative of j**7/105 - 103*j**6/12 + 53*j**5/60 - 7*j**4/12 + j**3/3 + 2*j**2 + 19*j + 1. Find the third derivative of p(d) wrt d.
48*d - 6180
Let r(l) = 3*l**2 + 2*l + 1. Let q(g) = 90*g**4 + g**2 + 1103*g + 5. Let p(b) = q(b) - 3*r(b). What is the second derivative of p(t) wrt t?
1080*t**2 - 16
Let c(v) = -4*v + 27. Let a be c(6). What is the third derivative of -133*o**4 - 6*o**3 + 276*o**4 - 136*o**4 + a - 3*o**2 + 19*o - 3 wrt o?
168*o - 36
Let h(x) be the second derivative of x**6/30 - 3449*x**5/20 + 409*x**4/4 + 5*x**3/6 + 6987*x. What is the third derivative of h(c) wrt c?
24*c - 20694
Let i(j) = -18*j**3 + 5*j + 5. Let h be i(-1). Find the first derivative of -h - 92*g**3 + 43*g**3 - 4 wrt g.
-147*g**2
Let l(m) = -112*m**3 - 40. Let f(o) = 57*o**3 + 22. Let y(x) = -14*f(x) - 6*l(x). What is the derivative of y(w) wrt w?
-378*w**2
Find the third derivative of 7*o**4 + 190*o**3 + 122271*o**2 + 0*o**4 - 2*o**4 - 111474*o**2 wrt o.
120*o + 1140
Let i(p) = 113*p**3 - 6*p**2 - 13*p - 87. Let s(u) = 225*u**3 - 10*u**2 - 25*u - 176. Let v(f) = 5*i(f) - 3*s(f). What is the derivative of v(b) wrt b?
-330*b**2 + 10
Let v = -37 + 39. Suppose v = r - 3. What is the second derivative of 0*l**5 + 0*l**5 - 21*l - 3*l**r wrt l?
-60*l**3
Suppose 4*p - 9 = 3. Let o be p/(-2)*140/(-42). Find the first derivative of o*x - 22 - 11*x + x wrt x.
-5
What is the derivative of 5055*f**2 + 1487 + 1008 + 1026 wrt f?
10110*f
Let q(p) be the third derivative of -p**8/112 + p**7/105 - 111*p**6/40 + 49*p**5/10 - p**4/3 - 18*p**2 + 3*p - 5. What is the third derivative of q(c) wrt c?
-180*c**2 + 48*c - 1998
Suppose -78 = -14*l + 20*l. Let z be (l/26)/(1/(-10)). Find the third derivative of -z*i**2 + 7*i**5 - 92*i**3 + 17*i**5 + 92*i**3 wrt i.
1440*i**2
Let l(z) be the second derivative of 637*z**5/10 - 245*z**2 - 105*z. What is the first derivative of l(t) wrt t?
3822*t**2
Find the second derivative of -1505 + 1469*u**3 + 742*u**3 + 1502 - 185*u wrt u.
13266*u
Find the second derivative of -2*i**5 + 557176*i**4 - 4880*i - 557146*i**4 - 1654*i - 6*i**5 wrt i.
-160*i**3 + 360*i**2
What is the second derivative of 68*d**4 + 1749*d**2 - 243*d**4 + 1916*d - 1743*d**2 wrt d?
-2100*d**2 + 12
Let t = -41 + 32. Let r(s) = 120*s**3 - 4*s - 29. Let w(j) = -242*j**3 + 9*j + 58. Let v(c) = t*r(c) - 4*w(c). What is the derivative of v(f) wrt f?
-336*f**2
Let s(k) = 2*k**2 - 570*k - 758. Let g(b) = 3*b**2 - 1139*b - 1516. Let f(j) = -2*g(j) + 