- 3*a**3 - 208*a - 438*a wrt a.
-18*a + 90
Suppose -a = -20*a + 8*a. Let f(n) be the second derivative of 0 + 10*n - 3/2*n**4 + 17/20*n**5 + 0*n**2 + a*n**3. Find the third derivative of f(t) wrt t.
102
Let s(b) = -b. Let h = -94 + 97. Let q(m) = -33*m**2 + 24*m. Let i(p) = h*s(p) + q(p). Find the second derivative of i(f) wrt f.
-66
Let f(i) be the second derivative of 479*i**5/4 + 2941*i**4/12 + 67*i - 7. Find the third derivative of f(l) wrt l.
14370
Let z(b) be the first derivative of 6733*b**5/5 + 4*b**3/3 + b**2 + 280*b + 9295. Find the third derivative of z(t) wrt t.
161592*t
Suppose -3*u - 5*v = 122, 3*u + 161 = -u - 5*v. Let c = -35 - u. Differentiate -3 + 9*i**4 + i**c + 17 - 3*i**4 with respect to i.
28*i**3
Let d(t) = -t**3 + 5*t**2 + 9*t - 3. Let j be d(7). Let o = -36 - j. Find the second derivative of 3*p**o - 3*p - 3*p**2 - p - 8*p**3 wrt p.
-48*p
Let i(k) = 258*k + 89. Let b be i(6). Differentiate b*c - 53*c**2 + 61 - 1637*c wrt c.
-106*c
Let g(k) = -68*k**2 + 6*k + 40. Let t(w) = 23*w**2 - 2*w - 14. Let i be 4/26 - 268/52. Let b(j) = i*g(j) - 14*t(j). Find the second derivative of b(y) wrt y.
36
Suppose -6*a = -2 - 16. What is the third derivative of 8*u**a - u**5 - u**2 + 4*u**5 + 6*u**2 - 2*u**5 + 8 wrt u?
60*u**2 + 48
What is the second derivative of 3046*q**2 - 5262*q**2 - 439*q - 2 - 348*q wrt q?
-4432
Let c(l) be the second derivative of 0*l**5 + 0*l**4 + 0*l**6 + 90*l + 5/2*l**7 + 0*l**2 + 12*l**3 + 0. Find the second derivative of c(i) wrt i.
2100*i**3
Let z(v) be the second derivative of -132*v**4 - 4333*v**2/2 - 51*v - 12. Differentiate z(g) with respect to g.
-3168*g
Let w = 12 - -2. Let g(i) = -i**2 - i + 1. Let d(o) = 26*o**2 - 2 + 7*o + 7 - 10*o**2 - 5. Let m(h) = w*g(h) + 2*d(h). Differentiate m(k) wrt k.
36*k
Let q = -236 + 240. Find the third derivative of 56*c**2 + 0*c**3 - c**3 - 2*c**4 + 2 + 8*c**3 + 19*c**3 + c**q wrt c.
-24*c + 156
Let p(r) be the second derivative of 0*r**4 - 147/2*r**2 + 0 - 2*r**3 + 7/20*r**5 + 6*r. What is the derivative of p(s) wrt s?
21*s**2 - 12
Let n = -19611 - -98057/5. Let g(m) be the second derivative of 0*m**4 + 0 - n*m**5 + 1/6*m**3 + 7*m**2 + 17*m. Differentiate g(d) with respect to d.
-24*d**2 + 1
Let c(t) = 4*t**5 + t**4 - t**3 + t - 1. Let p(f) = -192*f**5 + 3*f**4 - 3*f**3 + 4*f - 2. Let j(x) = 3*c(x) - p(x). Find the second derivative of j(q) wrt q.
4080*q**3
Let b be (-3130)/(-65) - 10/65. What is the third derivative of -p**5 - 19*p**3 - 3*p**2 - p**5 - b*p**2 - 142*p**2 wrt p?
-120*p**2 - 114
Find the second derivative of 12660*d**4 + 8*d - 3020*d - 11472*d**4 wrt d.
14256*d**2
Let n = 1068 + -624. Suppose -17*s + n = -491. Differentiate 18 - s + 1 - 22*k**3 + 3*k**3 wrt k.
-57*k**2
Differentiate 1072 - 178*a - 1992 - 10*a**2 + 4519 + 5078 with respect to a.
-20*a - 178
Let a(l) be the third derivative of l**7/70 + 53*l**6/24 + 58*l**4/3 - l**3/2 - 4*l**2 + l - 6. Find the second derivative of a(o) wrt o.
36*o**2 + 1590*o
Let r(g) = -5181*g**2 - 18*g + 5042. Let y(n) = 1295*n**2 + 4*n - 1260. Let x(b) = 2*r(b) + 9*y(b). Find the first derivative of x(h) wrt h.
2586*h
Let i(k) be the third derivative of 0*k + 1 - 68/15*k**5 - 100/3*k**3 + 0*k**4 - 113*k**2. Find the first derivative of i(f) wrt f.
-544*f
Let v(u) be the first derivative of -u**6/6 + 168*u**5 - u**4/2 + 2575*u**3 + 2809. What is the third derivative of v(m) wrt m?
-60*m**2 + 20160*m - 12
Suppose 0 = 2*m - 2*x - 12, m - 2*x + 4*x + 6 = 0. Find the third derivative of -74*s**m + 35*s**2 - 57*s**2 + 79*s**4 wrt s.
1896*s
Let q be 17*(-6)/(-18) + 1/3. What is the third derivative of 31*t - 2*t**2 - 2*t**5 + 38*t**6 - t**5 + q*t**5 - 39*t**6 wrt t?
-120*t**3 + 180*t**2
Suppose -3*t + o = -443, 3*o = -14*t + 9*t + 729. Find the second derivative of -7*y**2 + 68*y**2 + 79*y**2 + 1 + t*y - 126*y wrt y.
280
Let p(m) be the second derivative of -5/2*m**2 - 3/20*m**5 + 0*m**3 + 7/10*m**6 + 0*m**4 + 48*m + 0. Find the first derivative of p(a) wrt a.
84*a**3 - 9*a**2
Let i(m) = -6*m - 91. Let q(p) = p**2 - 13*p + 44. Let k be q(8). Let z(f) = -8*f - 92. Let w(h) = k*z(h) - 6*i(h). Differentiate w(a) with respect to a.
4
Let t(x) be the third derivative of -17/30*x**5 + 1/24*x**6 + 0*x - 1/210*x**7 + 0*x**4 + 0*x**3 - 1 - 25*x**2. What is the third derivative of t(b) wrt b?
-24*b + 30
Let m(r) be the first derivative of -9*r**2 - 1664*r - 143. Differentiate m(a) with respect to a.
-18
Let q(p) = 4*p + 3. Let i(f) = -3241*f + 147. Let a(n) = i(n) - 3*q(n). Differentiate a(v) with respect to v.
-3253
Let b(f) be the third derivative of -13*f**8/7 + 115*f**4/2 + 21*f**2 + 2*f. Find the second derivative of b(k) wrt k.
-12480*k**3
Let j(s) = -s**4 + 2*s**3 + s. Let o(m) = 518*m**4 + 4*m**3 + 2*m + 1098. Let i(b) = 2*j(b) - o(b). Find the first derivative of i(x) wrt x.
-2080*x**3
Suppose 121259 = 5*d - 3*w - 74458, 5*w + 78283 = 2*d. Differentiate -39144*i - 63*i**2 + d*i - 48 with respect to i.
-126*i
Let k(w) = -1426*w + 1969. Let f(r) = r + 3. Let b(h) = 36*f(h) + 4*k(h). What is the first derivative of b(o) wrt o?
-5668
Suppose -2*u = 8*q - 3*q - 5108, 2*u - 2042 = -2*q. What is the second derivative of -2*s**2 + 3*s**2 - 1018*s**4 + q*s**4 + 15*s wrt s?
48*s**2 + 2
Let s be (1 - -4) + (-12)/4. Let v be (-3*(-6)/54)/(s/30). What is the derivative of 9 - 3 + 197*j - 197*j - v*j**3 wrt j?
-15*j**2
Let s(a) be the first derivative of 7413*a**5/5 - 2*a**3/3 - 1332*a**2 + 8067. What is the third derivative of s(t) wrt t?
177912*t
What is the third derivative of 3*f**5 - 100*f - 9*f**4 + 28*f**4 + 15*f**2 + 8*f**4 + 102*f wrt f?
180*f**2 + 648*f
Differentiate -196 - 64*l**2 - 262 + 104 - 11*l - 222 wrt l.
-128*l - 11
Let f(i) be the third derivative of 439*i**5/30 - 305*i**4/24 - 2*i**3/3 + 10*i**2 + 46*i. Find the second derivative of f(j) wrt j.
1756
Suppose -5*l - 3*g - 25 + 195 = 0, -2*l - 5*g + 87 = 0. What is the second derivative of 49*w - w**2 - l*w**2 - 34*w**2 wrt w?
-132
What is the first derivative of -1219 + 450 + 16*v**2 + 67*v - 807 wrt v?
32*v + 67
Let v(y) = 1400952*y - 163821. Let g(w) = 6935*w - 811. Let n(t) = 807*g(t) - 4*v(t). What is the derivative of n(s) wrt s?
-7263
Let c(x) be the first derivative of 1603*x**3/3 - 4916*x - 5845. Differentiate c(d) with respect to d.
3206*d
Differentiate 6198 + t - 6174 - t - 1794*t**3 wrt t.
-5382*t**2
Let d(r) be the first derivative of 0*r**6 + 0*r + 16/3*r**3 - 45 + 0*r**5 - 1/2*r**4 + 0*r**2 + 3*r**7. What is the third derivative of d(l) wrt l?
2520*l**3 - 12
Let l be 11/((-308)/(-9516)) - 1/(-7). What is the second derivative of -l - 3*b**4 + 31*b**4 + 325 + b wrt b?
336*b**2
Find the third derivative of -4451*s**2 + 5760*s**4 + 1265401*s**3 - 6407*s**2 - 1265401*s**3 wrt s.
138240*s
Let b be 90/(-24)*120/9*-1. Find the second derivative of 12*a + 13*a + 24*a**2 - b*a wrt a.
48
Let k(r) = 397*r**5 - 7*r**4 + 5*r**3 - 1410*r**2 + 5*r. Let x(w) = -w**4 + w**3 + w. Let j(y) = k(y) - 5*x(y). What is the third derivative of j(q) wrt q?
23820*q**2 - 48*q
Let f(t) = -3*t**3 + t**2 + 1. Let n(x) = -224*x**4 + 18*x**3 - 6*x**2 + 382*x - 11. Let y(v) = -6*f(v) - n(v). What is the second derivative of y(g) wrt g?
2688*g**2
Suppose 326*t - 9 = 323*t. Find the first derivative of 11*z + 696*z**3 - 778*z**t - 11*z - 35 wrt z.
-246*z**2
Find the third derivative of 4*m**3 - 1820*m**6 + 5*m**3 - 2327*m**6 + 3177*m**2 - 9*m**3 wrt m.
-497640*m**3
Let t(v) be the third derivative of -v**5/60 + 545*v**4/24 + 83*v**3/2 + 298*v**2. Differentiate t(d) with respect to d.
-2*d + 545
Suppose -3*h + 284 = 4*f, 0 = 3*f + 12*h - 17*h - 184. What is the first derivative of 87*i - 38 + 17 - i**4 - f*i - 92 wrt i?
-4*i**3 + 19
What is the third derivative of -567*k**5 - k - 65*k - 2*k**3 + 2*k**2 + 607*k**5 wrt k?
2400*k**2 - 12
Suppose -4*q = -2*o + 1026, 0 = -3*o - 0*o + 3*q + 1527. Find the third derivative of -10*i**2 - o*i + 505*i + 85*i**2 - 19*i**3 wrt i.
-114
Let g(x) = 4*x**2 + x + 10. Let o be g(-5). Let u = o - 70. What is the third derivative of -790 + 790 + 4*t**2 - u*t**4 wrt t?
-840*t
Let t(l) = 40 + 6*l - 6*l - 2*l. Let y be t(-10). Find the second derivative of y*m**5 - 23*m + 51 - 13*m**5 - 51 wrt m.
940*m**3
Find the second derivative of -1249*w**2 + 57*w + 2*w**