31 wrt i?
-6264*i**3
Let q = 376/45 - 139/18. Let f(t) be the second derivative of 0 - 20*t - q*t**6 + 0*t**3 + 0*t**4 - 8*t**2 + 0*t**5. What is the derivative of f(s) wrt s?
-76*s**3
Find the second derivative of 10344*a**5 - 827765*a**3 + 827765*a**3 + 7315*a wrt a.
206880*a**3
Suppose 5*s = 7*v - 11*v - 65, 4*s = -2*v - 46. Let j = s - -9. What is the second derivative of -25*u + 14*u**5 - u**5 + j*u**5 wrt u?
260*u**3
Let a(t) = -14*t**2 + 27*t + 1654. Let f(j) = -9*j**2 + 28*j + 1655. Let u(y) = 4*a(y) - 5*f(y). What is the first derivative of u(g) wrt g?
-22*g - 32
Let a(w) be the second derivative of -5629*w**4/12 - w**3/3 - 399*w**2 + 103*w - 1. What is the second derivative of a(l) wrt l?
-11258
Let g = -142 + 146. Suppose -3*u = -g*b - 763, 3*b - 276 = 2*u - 3*u. What is the derivative of -u + 148 + 27*z**2 + 133 wrt z?
54*z
Let b(u) = 3*u**3 - u**2. Suppose -n + 0 + 11 = -5*c, 4*n - 5*c - 14 = 0. Let d be b(n). Differentiate -39 + 14 - 10*l**d + 19 with respect to l.
-20*l
Let s(l) be the second derivative of 2407*l**3/6 - 2117*l**2/2 - 2977*l. Differentiate s(p) with respect to p.
2407
Suppose -v + 0*v + 67 = 5*d, -5*d = -v + 37. Let o = 59 - v. What is the second derivative of 10*t + 17*t**5 - o*t**2 + 21*t**2 - 14*t**2 wrt t?
340*t**3
Find the second derivative of -12*m**3 + 5399*m - 21 - 34 - 19*m**4 + m**2 + 71 - 3*m**2 - 5501*m wrt m.
-228*m**2 - 72*m - 4
Let g(d) = -2*d**2 + d - 1. Let n(z) = 3*z**3 - 706*z**2 + 1873*z - 15. Let h(k) = 15*g(k) - n(k). What is the second derivative of h(f) wrt f?
-18*f + 1352
What is the second derivative of -2068*z + 172*z**3 + 72*z**5 + 0*z**4 - 70*z**5 - 3*z**4 - 2*z**4 + 6974*z wrt z?
40*z**3 - 60*z**2 + 1032*z
Let j = 65 + -57. Suppose -3*k + o - 5*o - 8 = 0, 2*k - j = 4*o. Find the second derivative of -2*p - p + 31*p**5 + k*p - 3*p wrt p.
620*p**3
Let r(v) = -5*v + 89. Let t be r(10). Find the first derivative of -72 + 32*o + t*o + 0*o**3 - o**3 - 63*o wrt o.
-3*o**2 + 8
Let y(i) = -180*i**3 - 10*i**2 + 1479*i + 10. Let m(u) = -182*u**3 - 9*u**2 + 1480*u + 8. Let d(c) = -5*m(c) + 4*y(c). Find the second derivative of d(f) wrt f.
1140*f + 10
Let c(h) = -6*h + 51. Let w be c(16). Let t be (-1032)/(-27) + 10/w. Find the second derivative of -11*d - 17*d**2 + 17*d**2 + t*d**3 wrt d.
228*d
Let b(f) be the second derivative of 67/3*f**3 - 194*f - f**2 + 6*f**4 + 0. Find the second derivative of b(x) wrt x.
144
Let y(d) = -d**3 + 7*d**2 - 6*d + 4. Let b be y(6). What is the second derivative of -13*h**4 - 14*h**b - 94*h - 17*h**4 + 54*h**4 wrt h?
120*h**2
Let w(s) = -2*s**3 + s**2 + 8*s + 1. Let t be w(-2). What is the third derivative of 0*y**6 + 17*y**t - 2*y + 21*y**5 - 36*y**5 + 4*y**2 - 27*y**6 wrt y?
-3240*y**3 + 120*y**2
Let w(x) = 10 - 34 + 57*x**2 - 16 - 11. Let t(o) = -3 + 3 - 8 + 14*o**2 - 5. Let v(f) = 15*t(f) - 4*w(f). Find the first derivative of v(y) wrt y.
-36*y
Suppose 105 = 3*a - 18. Let v = a + -11. What is the first derivative of v - 12 - 6 - 18*k**3 - 8 wrt k?
-54*k**2
Let t(m) be the first derivative of -1/2*m**2 + 0*m**5 - 76*m - 93 + 0*m**4 + 0*m**3 + 283/6*m**6. What is the second derivative of t(o) wrt o?
5660*o**3
Suppose -4*g + 20 = 0, -3*m + 129 = 2*g + 29. Find the second derivative of 501*r**2 - 18*r - 407*r**2 - m*r wrt r.
188
Let n(d) be the third derivative of -121*d**5/20 - d**4/12 + 127*d**3/2 - 275*d**2. What is the derivative of n(w) wrt w?
-726*w - 2
Suppose -4*c + 2*w - 7*w + 1 = 0, 2*c - 4*w = 20. Suppose 5 = 3*o + 2*o. Find the second derivative of 27*x - 176*x**c + 203*x**4 + o - 1 wrt x.
324*x**2
Let m(i) be the second derivative of 691*i**6/15 + 924*i**2 - 2*i + 42. What is the derivative of m(r) wrt r?
5528*r**3
Let t = 6 - 4. Let a(m) be the first derivative of -5*m**2 - 2*m**2 - 1 + 4*m**t + 16 + 2*m**6. What is the second derivative of a(g) wrt g?
240*g**3
Let w(s) be the first derivative of 307*s**3 + 135*s**2 + 573. Find the second derivative of w(g) wrt g.
1842
Let z be 45/(-1*(0 - 1)/1). Let v = z - 43. What is the second derivative of 10*d - 28*d**v - 874 + 874 wrt d?
-56
Let s be -9 - 1 - 90/(-30). Let t(g) = -351*g + 177. Let z(k) = -178*k + 89. Let m(b) = s*z(b) + 4*t(b). What is the derivative of m(r) wrt r?
-158
Let w be (-3 + -2)*6*2/(-20). Let c be (w + (-10)/4)*18. What is the first derivative of 50 + 50 + c*k - 108 wrt k?
9
Differentiate -141*h - 986*h + 708 + 354*h wrt h.
-773
Find the third derivative of -12*v**2 + 4*v**2 + 4994247*v - 4994237*v - 3013*v**3 wrt v.
-18078
Let h(t) = -t**4 + 2*t**3 - t**2 - 2. Let i(l) = 8241*l**4 + 18*l**3 - 4791*l**2 - 18. Let r(y) = -9*h(y) + i(y). Find the third derivative of r(z) wrt z.
198000*z
Find the second derivative of -12*g**5 + 1 + 0 + 7*g**5 + 4*g**2 + 1017*g**3 - 992*g**3 - 74*g wrt g.
-100*g**3 + 150*g + 8
Let y(o) be the third derivative of -277*o**6/15 - o**4/6 - 4105*o**3/3 - o**2 - o + 3196. Differentiate y(b) wrt b.
-6648*b**2 - 4
Let k be (-4)/(-6) - (-10)/3. Differentiate 108*o**k + 389*o - 389*o - 281 with respect to o.
432*o**3
What is the second derivative of 2363*h - 3 - 634*h**3 + 428*h**3 + 376*h**3 - h**5 + 3 wrt h?
-20*h**3 + 1020*h
Find the third derivative of -18763*p + 4*p**6 + 18766*p - 124*p**4 + 36*p**4 + 290*p**2 wrt p.
480*p**3 - 2112*p
Let x be 30/(-130) + 108/468. Let d(p) be the third derivative of 13/40*p**6 + 0*p + 1/2*p**3 + 0*p**5 + 0 + 43*p**2 + x*p**4. Differentiate d(w) wrt w.
117*w**2
Let z(g) be the second derivative of -41/6*g**3 - 3 + 69*g**2 + 21*g. Differentiate z(x) with respect to x.
-41
Find the first derivative of -1725 - 10213*l - 2090 - 668 + 2475*l wrt l.
-7738
Let i(d) be the second derivative of 5231*d**6/30 + 167*d**3 + d**2 + 1997*d. Find the second derivative of i(u) wrt u.
62772*u**2
Let d(i) = 33*i**2 + 2*i + 349. Let k(u) = -72*u**2 - 3*u - 699. Let m(t) = 5*d(t) + 3*k(t). Differentiate m(v) wrt v.
-102*v + 1
Let v(b) = 3*b. Let x be v(1). Find the third derivative of -1493*i**x + 1431*i**3 + 58*i**2 - 14*i**2 wrt i.
-372
What is the third derivative of -436652 - 1346*m**2 + 436652 - 191*m**3 - 278*m**3 wrt m?
-2814
Let s(d) = -10*d**2 - 3*d + 1916. Let h(v) = -v**3 - 9*v**2 - 2*v + 1916. Let l(b) = 3*h(b) - 2*s(b). What is the first derivative of l(y) wrt y?
-9*y**2 - 14*y
Let a(v) = 2*v**3 - 50*v**2 + 46*v + 50. Let g be a(24). Find the third derivative of -4*x + 4*x - 32*x**3 + 73*x**g + 46*x**3 wrt x.
84
Let i(p) = 6*p - 34. Suppose -2*l + 2 = -10. Let d be i(l). Find the third derivative of -34*h**4 - 34*h**2 + 7*h**d + 54*h**2 wrt h.
-816*h
Let w(y) = -y**4 - y**3 + y - 5. Let z(b) = 1988*b**4 - 4*b**3 + 4*b + 1161. Let g(i) = 4*w(i) - z(i). What is the derivative of g(p) wrt p?
-7968*p**3
Let a(z) be the second derivative of 0*z**5 + 0 + 0*z**4 + 0*z**2 - 53/30*z**6 + 4*z**3 - 159*z. What is the second derivative of a(h) wrt h?
-636*h**2
Let d(c) = 7*c**2 + 3*c + 3. Let m be d(-2). Suppose -43*y + 38*y + m = 0. Find the third derivative of -251*s**2 - 4*s**5 + 264*s**2 + y*s**5 wrt s.
60*s**2
Let t(v) be the first derivative of v**5/5 - 841*v**4/2 + v**2/2 + 348*v + 3510. Differentiate t(d) wrt d.
4*d**3 - 5046*d**2 + 1
Suppose 238*c + 9 = 241*c. Differentiate 7*n**2 + 78 - 16*n**2 + 146*n**c + 9*n**2 with respect to n.
438*n**2
Let r(p) = 2*p**2 + 17*p - 7. Suppose -3*f - 26 = -h, 2 - 13 = f + 2*h. Let g be r(f). Find the third derivative of -3*v**2 - g*v**2 + 12*v**2 + 11*v**3 wrt v.
66
Let c(b) be the second derivative of -41*b**5/5 - 58*b**3/3 + b + 112. What is the second derivative of c(d) wrt d?
-984*d
Let q(w) be the third derivative of w**7/210 + 36*w**5/5 + 2837*w**3/6 - 7*w**2 + 461. What is the derivative of q(d) wrt d?
4*d**3 + 864*d
Find the first derivative of 3278 - 3024 + 6751*h**3 + 7481 + 7201 wrt h.
20253*h**2
Let t(y) = 1186*y**3 - 73*y**2 - 12*y + 7. Let h(l) = -2*l**2 - 2*l - 2. Let a(v) = -6*h(v) + t(v). Find the third derivative of a(d) wrt d.
7116
Let n(i) be the second derivative of 2*i + 35/3*i**3 + 0*i**2 + 5/2*i**4 - 9. What is the second derivative of n(u) wrt u?
60
Let i(x) = 5*x**5 + x**4 + x**2 - x. Let n(c) = -8*c**5 - 4*c**4 - 2*c**3 - 190*c**2 + 4*c. Let m(t) = -4*i(t) - n(t). Find the third derivative of m(k) wrt k.
-720*k**2 + 12
Let k(p) = p**2 - 8*p + 1. Let a be k(9). Differe