*t - 886. What is the first derivative of r(y) wrt y?
8186*y
Suppose 2*c = 6*c - 180. Suppose -c = 16*p - 19*p. What is the second derivative of -5*g**5 + 64*g - 25*g + p*g**5 wrt g?
200*g**3
Let v(p) be the second derivative of 0 - 1/4*p**5 + 47*p + 14*p**3 + 0*p**4 + 0*p**2. What is the second derivative of v(j) wrt j?
-30*j
Suppose -14*l + 10*l + 288 = 0. What is the second derivative of 2*k**2 - l*k - 55*k**3 + 37*k**3 + 16*k**3 wrt k?
-12*k + 4
Differentiate -3*r**4 - 4*r**3 + 9711 - 2809 + 65*r**4 - 2*r + 1803 + 31*r**4 wrt r.
372*r**3 - 12*r**2 - 2
Let v(z) be the second derivative of -68*z**3/3 + 21*z**2 - 66*z. Let m(c) = -133*c + 41. Let l(j) = 2*m(j) - 3*v(j). What is the derivative of l(s) wrt s?
142
Let n(l) be the second derivative of -l**7/630 - l**6/240 + 73*l**5/120 - 4*l**4 - l + 2. Let g(d) be the third derivative of n(d). Differentiate g(f) wrt f.
-8*f - 3
Let n be 8/16 - (-13)/(-2). Let g(z) = z**3 + 8*z**2 + 13*z + 8. Let x be g(n). Differentiate -9*p**2 - 2*p**2 - 6 - 2*p**x - 11 with respect to p.
-26*p
Let q(d) = 8*d - 1. Let u be q(5). What is the second derivative of 170*b**5 + 3629*b**3 - 3629*b**3 - u*b wrt b?
3400*b**3
Let h(v) be the second derivative of 3*v**7/14 + 453*v**4/2 - 1082*v. What is the third derivative of h(p) wrt p?
540*p**2
Find the second derivative of 6207*u**5 + 1338*u**5 + 3014*u**5 + 55*u - 9254*u wrt u.
211180*u**3
Let s(g) be the third derivative of 0 - 39*g**2 + 0*g**6 - 3*g + 127/210*g**7 + 101/6*g**3 - 1/60*g**5 + 0*g**4. Find the third derivative of s(z) wrt z.
3048*z
What is the third derivative of -c**3 + c + 35*c**5 + c**3 + 2*c**6 - 177*c**2 - 87*c**2 + 31*c**5 wrt c?
240*c**3 + 3960*c**2
What is the third derivative of -252*i**3 - 3138*i**5 + 474*i**3 - 103*i - 222*i**3 - 2*i**2 + 1065*i wrt i?
-188280*i**2
Suppose 61*m - 69*m = -33*m. Let r(n) be the first derivative of -1/4*n**4 + m*n**2 + 0*n + 6*n**3 + 16. Find the third derivative of r(j) wrt j.
-6
Suppose 2*j + 2*j = 20. Let k(l) = 13*l**3 - 5*l**2 - 2*l + 23. Let g(o) = -14*o**3 + 6*o**2 + o - 22. Let s(m) = j*g(m) + 6*k(m). Differentiate s(v) wrt v.
24*v**2 - 7
Let u(i) = i**2 - 16*i + 65. Let r be u(13). Find the second derivative of 2*m**3 + r*m - 4*m + m**3 + 3*m**2 - 1 wrt m.
18*m + 6
Let g(z) = -926*z**3 + 7*z**2 - 91*z + 2. Let w(s) = s**3 + 2*s**2 + 2*s + 1. Let p(b) = -g(b) + 2*w(b). Find the third derivative of p(l) wrt l.
5568
Let v(u) be the second derivative of -193/2*u**2 - 52 + 0*u**5 - 1/6*u**3 + 0*u**4 - 49/30*u**6 - 2*u. Differentiate v(x) wrt x.
-196*x**3 - 1
Let l(n) be the third derivative of 97*n**5/30 + 5*n**4/24 - 638*n**3/3 - 878*n**2. Differentiate l(x) with respect to x.
388*x + 5
Suppose -4*j - 136 = 5*c - 4*c, -5*c - j - 699 = 0. Let r = -59 - c. Find the second derivative of -r - 8*u**2 + 81 - 9*u - u**2 wrt u.
-18
Let l(f) = 13701*f + 9837. Let t(m) = 54820*m + 39346. Let z(o) = -9*l(o) + 2*t(o). Find the first derivative of z(d) wrt d.
-13669
Suppose 8*n - 18*n + 20 = 0. What is the third derivative of 5*y**2 - 3*y**n - 13*y**2 - 12*y**2 + 61*y**3 - 17*y**3 wrt y?
264
Suppose -21*u + 48 = 3*u. Find the third derivative of -6*y + 107*y**5 - 22*y**2 + 9*y**2 + 10*y**u wrt y.
6420*y**2
Let i(y) be the third derivative of 85*y**6 + y**4/12 - 183*y**3 + y**2 - 391*y - 2. What is the second derivative of i(j) wrt j?
61200*j
Let i be (-3)/(-57) + -17 + 1610/95. Let p(x) be the first derivative of 1/4*x**4 + i*x + 0*x**2 - 1/3*x**3 + 12. Find the third derivative of p(n) wrt n.
6
Let b(u) = -2*u**2 + 15*u - 14. Let i be b(6). What is the second derivative of 123*t + 12*t**i - 3*t**4 + 75*t + 56*t - 6*t**2 + 2*t**4 wrt t?
132*t**2 - 12
Let w = -108 - -120. Suppose -19 = -z + j + w, 4*j = 0. Find the first derivative of -8*d**3 - 25 - z + 97 wrt d.
-24*d**2
Let c(l) = -l**2 - 5*l + 6. Let p be c(0). Differentiate 19 - 3*j**4 - 14*j**2 + 33 - p with respect to j.
-12*j**3 - 28*j
Find the first derivative of 527 - 3*h + 2*h**3 + 3*h - 655 - 1573*h**2 - 2072 wrt h.
6*h**2 - 3146*h
Let w(g) be the first derivative of 30*g**7/7 - g**4/2 + 1079*g**3/3 - 2550. Find the third derivative of w(u) wrt u.
3600*u**3 - 12
Let h(m) be the second derivative of -101*m**4/2 - 5*m**3 + 7*m**2/2 - 14*m - 36. Find the second derivative of h(k) wrt k.
-1212
What is the third derivative of -220*c**2 - 531*c**2 - 692*c**2 - 10*c**6 - 36*c**4 + 0*c**6 - 5*c**6 wrt c?
-1800*c**3 - 864*c
Let t(z) be the second derivative of -7*z**6/45 - 23*z**4/24 + 14*z**3/3 + z**2 - 27*z - 2. Let d(b) be the second derivative of t(b). Differentiate d(i) wrt i.
-112*i
Let y = 84 + -27. Let l(b) = 51*b - 863. Let i be l(17). What is the third derivative of -15*q**2 + 71*q**4 - 7*q**2 - y*q**i wrt q?
336*q
Find the third derivative of -1578*s**3 + 9*s**2 - 8*s**2 + 491*s - 15*s**2 + 12*s**2 - 312*s**3 wrt s.
-11340
What is the second derivative of 82526*x**4 - 72294*x**4 + 7810*x - 1236*x wrt x?
122784*x**2
Let l(k) = -52 - 6*k**2 + 12*k + k**2 + 3*k - 5*k. Let a(f) = 10*f**2 - 21*f + 105. Let u(i) = 6*a(i) + 13*l(i). Differentiate u(t) with respect to t.
-10*t + 4
Let h(k) = 4*k**2 - 13*k. Let z(g) = -14*g**2 + 143*g - 3514. Let c(a) = -4*h(a) - z(a). What is the first derivative of c(t) wrt t?
-4*t - 91
Suppose -z - 4*v - 9 = 0, -z - 4*z + v + 18 = 0. Find the second derivative of 10 - i**z - 4*i + 1113*i**2 - 544*i**2 - 555*i**2 wrt i.
-6*i + 28
Let t = 44 + -6. Let i = 47 - t. Differentiate 5*b**2 + i*b**2 + 32 + 11*b**2 - 6 with respect to b.
50*b
Let o(z) be the first derivative of -88/3*z**3 + 48 + 77/6*z**6 + 0*z**4 + 0*z**5 + 0*z**2 + 0*z. What is the third derivative of o(h) wrt h?
4620*h**2
Let n(w) be the second derivative of 0 + 0*w**5 - 30*w**2 + 13*w + 0*w**3 - 1/10*w**6 + 0*w**4. What is the first derivative of n(q) wrt q?
-12*q**3
Let q = -8 + 113. What is the first derivative of 147*y**2 + q + 35580*y - 35580*y wrt y?
294*y
Find the second derivative of -2*x**3 - 45816234*x**2 + 1 - 1 + 4791*x + 45814568*x**2 wrt x.
-12*x - 3332
Let y(n) = n**3 + 5*n**2 - 7*n + 51. Let k be y(-7). What is the second derivative of -k*g**2 - 70*g**3 + 17*g**3 - 2 + 28*g**3 + 125*g wrt g?
-150*g - 4
Let u(g) = 524*g**3 - 30*g**2 + 224*g - 3. Let a(q) = -1572*q**3 + 85*q**2 - 671*q + 9. Let k(f) = -6*a(f) - 17*u(f). Find the second derivative of k(z) wrt z.
3144*z
Let g(k) be the second derivative of 30*k + 0 - 35*k**2 + 0*k**3 - 97/12*k**4. Find the first derivative of g(q) wrt q.
-194*q
Differentiate 214 + 7*d + 41*d**3 + 288 + 33 - 27 with respect to d.
123*d**2 + 7
Let o = -96 + 104. What is the second derivative of -o*j + 10*j**2 + 11 - 11 - 6*j wrt j?
20
Let o(h) be the second derivative of 24*h - 1 - 107/2*h**2 - 65/3*h**3. What is the derivative of o(a) wrt a?
-130
What is the second derivative of 82*j**2 - 82*j**2 + 403*j**3 - 198*j + 79*j wrt j?
2418*j
Let y(h) be the third derivative of -h**8/168 + 7*h**6/15 + h**4/12 + h**3/3 + 321*h**2 + h. Find the second derivative of y(w) wrt w.
-40*w**3 + 336*w
Let r = -234 + 235. Find the second derivative of 3*b**2 - 1 + 65*b - 935*b**3 + r + 931*b**3 wrt b.
-24*b + 6
Find the second derivative of -8*k**4 + 240*k - 712*k - 571*k**2 + 505*k**2 wrt k.
-96*k**2 - 132
Suppose 0 = -a - 5*d + 4 + 6, 0 = d + 1. Find the third derivative of 761*f - a*f**2 + 24*f**5 + 764*f - 1525*f wrt f.
1440*f**2
Let c(p) be the third derivative of 0*p + 0 - 6*p**4 - 59/3*p**3 + 33*p**2. What is the derivative of c(v) wrt v?
-144
Let a(g) = -g**3 + 3447*g**2 - 13*g - 171. Let o(h) = 3*h**3 - 10343*h**2 + 42*h + 511. Let c(w) = 11*a(w) + 4*o(w). Find the second derivative of c(n) wrt n.
6*n - 6910
Find the second derivative of 103 + 192*j**2 - 10*j + 19*j**2 + 13778*j**3 + 6*j**5 - 13778*j**3 wrt j.
120*j**3 + 422
Let x(p) = -p**4 + p**2 + 1. Let g(s) = -6*s**4 - 263*s**2 - 5611. Let j(r) = -g(r) + 2*x(r). Find the first derivative of j(k) wrt k.
16*k**3 + 530*k
Let g = -144 - -146. What is the second derivative of -41*r + 56*r**g - 3 + 68*r + 6 - 1 wrt r?
112
Suppose -u = 4*b - 3*b + 3, -2*u = -5*b - 50. Let w be b/(-1) + -7 + 3. Find the second derivative of -5*q**5 - 8*q - 14*q**w + 14*q**4 wrt q.
-100*q**3
Find the second derivative of -44 + 150*y + 630*y**2 - 992*y**2 + 1516*y**2 + 1244*y**2 - 179*y wrt y.
4796
L