00*t**3
Let u = 42 - 39. What is the first derivative of 20*n**4 + n**3 - n**u - 9*n**4 + 16 wrt n?
44*n**3
Let h(t) be the second derivative of 0*t**3 + 9/5*t**5 + 0 - 39/2*t**2 + 0*t**4 - t. What is the derivative of h(s) wrt s?
108*s**2
Suppose 8 = 3*d - d. Suppose 16 - 147 = -2*t - 5*o, 4*o - 232 = -d*t. What is the second derivative of 0*r**5 + 4*r - 53*r**3 + t*r**3 + r**5 wrt r?
20*r**3
Suppose 0 = 10*p - 547 - 30783. What is the third derivative of -p*r + 23*r**4 + 3133*r + 10*r**2 wrt r?
552*r
Let m = -329 + 332. Let b(a) be the second derivative of 0 - 1/6*a**m - a + 5/2*a**2. Differentiate b(t) wrt t.
-1
Let w(d) be the second derivative of -25*d + 27/2*d**2 + 0*d**3 - 4/3*d**4 + 0. Differentiate w(h) with respect to h.
-32*h
Let t(y) = 74*y**5 + 5*y**4 + 2*y**3 - 268*y**2. Let u(f) = f**5 - f**4 + f**2. Let d(v) = t(v) + 5*u(v). What is the third derivative of d(l) wrt l?
4740*l**2 + 12
Let i(j) = j**3 - j**2 - j. Let r be 36/12 - (2 - 0). Let a(s) = 15*s**3 + s**2 + s + 2. Let d(k) = r*i(k) + a(k). Differentiate d(c) wrt c.
48*c**2
Let a(n) be the third derivative of 37/24*n**4 + 0*n + 35*n**2 + 0*n**5 + 0*n**3 + 0 - 3/40*n**6. What is the second derivative of a(y) wrt y?
-54*y
Let n(w) = -69*w**3 + 3*w**2 - 59*w + 2. Let a(v) = 345*v**3 - 16*v**2 + 295*v - 11. Let f(l) = -4*a(l) - 22*n(l). Find the third derivative of f(s) wrt s.
828
Find the second derivative of -149*q**2 - 151*q**2 - 145*q**2 + 445*q**2 + 161*q + 114*q**3 wrt q.
684*q
Let u(d) be the first derivative of -3*d - 26 - 15*d**2 - 2*d**6 + 5*d**2 + 3*d. Find the second derivative of u(j) wrt j.
-240*j**3
Let q(f) be the third derivative of f**7/70 - 3*f**6/40 - 17*f**5/15 + 13*f**2. Find the third derivative of q(i) wrt i.
72*i - 54
Let i be (2 - (-5)/(-3))/((-1)/(-6)). What is the third derivative of 5*q**i + 14*q - 14*q - 19*q**6 wrt q?
-2280*q**3
What is the second derivative of -142*q - 30*q**5 - 40*q**5 + 2*q**4 + 3*q**4 - 32*q**5 + 109*q**5 wrt q?
140*q**3 + 60*q**2
Let z = -19 - -21. Let c(p) = -8*p**2 + 5*p + 1. Let n(g) = -g**2 + g + 1. Let q(i) = z*c(i) - 10*n(i). Differentiate q(r) wrt r.
-12*r
Suppose -4*y = -4 - 8. Suppose y*s - s = -2*p + 4, -5*s + 18 = p. Find the second derivative of 4*i**4 + i + i**s - 4*i wrt i.
60*i**2
Suppose 2*w - 30 = w. Find the first derivative of -10*h**2 + 8*h**2 - w*h**2 - 8 wrt h.
-64*h
Let f(g) be the second derivative of -2*g**6/5 + 4*g**3 + 4*g - 6. Find the second derivative of f(w) wrt w.
-144*w**2
Let b be (-19)/(-4) - 1*(-2)/8. Find the third derivative of -8*z**b + 9*z - z**2 + 0*z - 9*z wrt z.
-480*z**2
Let c(i) be the second derivative of -7*i**6/6 - i**4/12 + 382*i**3/3 + 2*i - 608. What is the second derivative of c(v) wrt v?
-420*v**2 - 2
Let c = 38 + -48. Let z(v) = -v**5 - v + 1. Let p(r) = 68*r**5 - 2*r**2 + 10*r - 10. Let o(i) = c*z(i) - p(i). Find the third derivative of o(h) wrt h.
-3480*h**2
Differentiate -17 - 125 + 44 - 105 + 30 + 79*n**4 with respect to n.
316*n**3
Let i be 4/(-3)*(-5 + 30/(-3)). What is the first derivative of 1 - 15 + 5*g**4 - 8*g**4 - i*g**4 wrt g?
-92*g**3
Let h be (2/3)/(10/30). What is the third derivative of 0*p**h - 4*p**2 - 6*p**6 + 9*p**2 wrt p?
-720*p**3
Let d(j) be the first derivative of -4*j**6/3 - j**3 - 647*j**2/2 + 227. Find the second derivative of d(b) wrt b.
-160*b**3 - 6
Let a = 6 + -8. Let r be a*1/(2/(-4)). Find the third derivative of 4*q**2 + r*q**2 + q**5 - 5*q**2 wrt q.
60*q**2
Let c be 96/7 + (-2)/(-7). Suppose -c = -4*t + 10. Find the third derivative of 17*n**5 + 0*n**2 - 5*n**5 - 7*n**2 - t*n**5 wrt n.
360*n**2
Let w(u) = u**2 - 6*u + 4. Let h be w(6). Find the third derivative of 15*v**4 + h*v**6 - 12*v**6 + 12*v**2 - 15*v**4 wrt v.
-960*v**3
Let u = -184 - -186. Let f(p) be the third derivative of 2*p**u + 1/2*p**3 + 0*p**4 + 0 + 1/12*p**5 + 0*p. Differentiate f(y) with respect to y.
10*y
Let y(r) = -14*r**3 + 12*r**2 + 5*r + 5. Suppose -5*l - 7 = -2. Let s(t) = t**2 + t + 1. Let m(v) = l*y(v) + 5*s(v). Find the third derivative of m(j) wrt j.
84
Let b(y) be the second derivative of -10*y**2 + 14*y + 1/5*y**6 + 0*y**5 + 0*y**3 + 0 + 0*y**4. Differentiate b(s) wrt s.
24*s**3
Let p(g) be the second derivative of 11*g**7/210 + 19*g**5/60 - g**2/2 + 5*g. Let h(l) be the first derivative of p(l). Find the third derivative of h(i) wrt i.
264*i
What is the first derivative of 64595 + 118*t + 537*t - 64397 wrt t?
655
Suppose 0 = -q + 3*z - 9, 0 = 3*q + 6*z - z - 29. Suppose -7 - 2 = -3*t. What is the third derivative of -6*c**2 - 12*c**3 + 19*c**t - 4*c**q wrt c?
18
Let b(c) = -67*c**3 + 48*c**2 - 4*c + 8. Let m(v) = -133*v**3 + 96*v**2 - 9*v + 18. Let g(j) = 9*b(j) - 4*m(j). What is the third derivative of g(i) wrt i?
-426
Let n be -1 + -1*12/(-3). What is the derivative of 36*q**n - 75 + 32 + 18 wrt q?
108*q**2
Let d(k) be the second derivative of 41*k**6/15 - 29*k**3/6 + 84*k. What is the second derivative of d(t) wrt t?
984*t**2
Let r(g) be the second derivative of 3/5*g**6 + 0*g**5 - 17/12*g**4 + 2*g + 0 + 0*g**3 + 0*g**2. What is the third derivative of r(d) wrt d?
432*d
Let s = -14 - -16. What is the third derivative of -m**6 - 40*m**6 + m**6 - 45*m**s wrt m?
-4800*m**3
Let a(b) = b**2 + b + 3. Let m(i) = 240*i**2 + 184*i - 18. Let z(x) = 12*a(x) + 2*m(x). What is the second derivative of z(c) wrt c?
984
Let b(q) be the second derivative of -q**6/10 - q**4/4 - 7*q**3/3 - 3*q**2/2 + q - 20. What is the second derivative of b(a) wrt a?
-36*a**2 - 6
Let n be ((-2192)/26)/(-2) + (-14)/91. Find the third derivative of -41*s**2 - n*s**2 + 18*s**4 + 101*s**2 wrt s.
432*s
What is the first derivative of 134 + 17 - p - 52 - 16*p**4 wrt p?
-64*p**3 - 1
What is the third derivative of 3*p**2 - 147*p**6 - p**5 - 5 - 143*p**6 + 284*p**6 wrt p?
-720*p**3 - 60*p**2
Suppose -j - j = -3*a + 15, 25 = 5*a - 4*j. What is the second derivative of -4*b + 0*b**5 + 2*b**a - 4*b**5 - 9*b**5 wrt b?
-220*b**3
Let t(u) be the second derivative of 3*u**4/4 - u**3/6 + 17*u**2 - 76*u. Differentiate t(f) with respect to f.
18*f - 1
Let n(f) = -3*f - 2. Let y be n(-2). Find the third derivative of -110*a**2 + 2*a**4 + 105*a**2 - 10*a**5 - 2*a**y wrt a.
-600*a**2
Let s(z) = -2*z - 22. Let i be s(-11). Find the second derivative of -3*a**3 + 2*a + 19*a - 9*a**3 + i*a wrt a.
-72*a
Suppose 2*n - 12 = -4*n. Find the third derivative of 18*w**n + 0 - 12*w**3 + 1 - 1 wrt w.
-72
Let j(q) be the second derivative of 29*q**9/15120 - q**5/20 + 13*q**4/12 + 21*q. Let y(t) be the third derivative of j(t). Differentiate y(s) wrt s.
116*s**3
Let p(a) = 2*a**2 - 6*a. Let r be p(5). Differentiate d**3 + r - 909*d + 909*d with respect to d.
3*d**2
Let h be ((-20)/(-4) - -1)*-1. Let b be ((-48)/(-36))/((-8)/h). Differentiate -27*y - 33*y - 6*y**2 + b + 60*y wrt y.
-12*y
Let m(j) be the second derivative of 0*j**2 + 44*j + 0 + 20/21*j**7 + 0*j**6 + 1/3*j**4 + 0*j**3 + 0*j**5. Find the third derivative of m(o) wrt o.
2400*o**2
What is the third derivative of -1072*b**2 + 80*b**5 + 1071*b**2 + 30*b**5 wrt b?
6600*b**2
Let m be 2/3*(-45)/(-6). Let f(z) be the first derivative of -z**5 - 5 - 2 + m*z + 0*z + 2. Find the first derivative of f(x) wrt x.
-20*x**3
Let n(w) be the second derivative of -17*w**4/12 - 639*w**2/2 + 97*w. Differentiate n(k) wrt k.
-34*k
Let k(b) be the first derivative of -71*b**3/3 + 49*b**2 - 150. What is the second derivative of k(a) wrt a?
-142
Suppose 17*p - 23*p + 18 = 0. Find the second derivative of p*c**2 + 15*c - 18*c**2 - c**2 wrt c.
-32
Let i be ((-3)/(-6) - -2)*(-8)/(-10). What is the third derivative of 20*h**5 + i*h**5 - 5*h**5 + 1 + 37*h**5 - 11*h**2 wrt h?
3240*h**2
Suppose -28 = -9*r + 8. Suppose 0 = -4*c - 5*x + 62, -r*c - c + 94 = -2*x. Find the second derivative of -6*w**5 - w + c*w**5 - 7*w wrt w.
240*w**3
Let n be 30/20*4/6*5. Let y(w) be the first derivative of 0*w**2 - w**5 + 4/3*w**3 + 0*w + 0*w**4 + n. Find the third derivative of y(j) wrt j.
-120*j
Let c(b) = -8*b**3 + b + 1. Let w(x) = 17*x**3 + x - 1. Let a(f) = -7*c(f) - 3*w(f). Find the second derivative of a(o) wrt o.
30*o
Let m(c) = -7*c**5 + 3*c**3 + 6*c**2 + 12*c + 6. Let n(t) = t**5 - t**2 + t - 1. Let f(k) = -m(k) - 6*n(k). What is the second derivative of f(i) wrt i?
20*i**3 - 18*i
Let n(z) =