8
Let o(g) = g**2 - g + 1. Let n(k) = 86*k**2 - 2*k - 7. Let y(w) = n(w) - 4*o(w). What is the second derivative of y(m) wrt m?
164
Let j be 24/(-42) + (-352)/(-28). Differentiate h**2 + 6*h**2 - 7*h**2 + j*h**3 + 33 wrt h.
36*h**2
Let l(y) = -112*y**4 - 10*y**2 + 10*y - 463. Let k(b) = 223*b**4 + 18*b**2 - 18*b + 925. Let j(f) = -5*k(f) - 9*l(f). What is the derivative of j(q) wrt q?
-428*q**3
Let b be ((-2)/6)/(1/(-12)). Suppose 60 = 17*p - 5*p. What is the third derivative of 6*i**6 + b*i**5 + 8*i**2 - 4*i**p wrt i?
720*i**3
Let s = -223 + 223. Let p(a) be the third derivative of 5*a**2 - 1/3*a**3 + 5/24*a**4 + 0*a + s. What is the derivative of p(m) wrt m?
5
Let q = 8 - 4. Let z(j) = 4*j - 11. Let r be z(q). Find the third derivative of -k**5 - r*k**5 - 2*k**5 - 4*k**2 wrt k.
-480*k**2
Let g(j) be the second derivative of -98*j**6/5 - 499*j**2/2 + j + 127. What is the first derivative of g(o) wrt o?
-2352*o**3
Let a = -36 + 39. What is the second derivative of -6*q + q**3 + 17*q**3 + a*q wrt q?
108*q
Suppose 1 = 8*l - 23. What is the first derivative of -11*i**3 - 4*i**3 - 17 - 4*i**3 - 4*i**l wrt i?
-69*i**2
Find the third derivative of 194*s**2 - 655*s**3 + 235*s**2 - 21*s**2 wrt s.
-3930
Suppose 0 = -6*j - j - 21. Let h = j - -3. Differentiate -2*v**2 + h + 1 - 3 + 3 with respect to v.
-4*v
What is the second derivative of -70*a + 531*a + 2273*a**2 - 2873*a**2 wrt a?
-1200
Let k be ((-72)/432)/((-10)/4). Let z(w) be the third derivative of -1/2*w**3 - k*w**6 + 0 + 7*w**2 + 0*w**4 + 0*w + 0*w**5. Differentiate z(g) wrt g.
-24*g**2
Find the first derivative of 48 + 138*x - 47 + 34 wrt x.
138
Let h(m) = m**2 - 2. Let c(t) = t - 14. Let w be c(10). Let y be h(w). What is the third derivative of 2*i**2 + 8*i**2 + 2*i**4 - y*i**2 wrt i?
48*i
Let w = 1331/5 - 266. Let g(j) be the second derivative of 0 + w*j**6 + 0*j**2 - 3*j - 1/2*j**4 + 0*j**5 + 0*j**3. Find the third derivative of g(a) wrt a.
144*a
Let x(o) = -5*o**5 - 6*o**4 + 18*o**3 + 122*o**2 - 6. Let l(k) = -k**5 - k**4 + k**2 - 1. Let s(h) = -6*l(h) + x(h). What is the third derivative of s(j) wrt j?
60*j**2 + 108
Suppose -5*f = -r - f + 32, -2*r + 34 = 2*f. Differentiate -r*d**2 + 5 - 1 - 13*d**2 + 2 with respect to d.
-66*d
Let k = 95 + -66. Find the first derivative of -5 - 13*d + 2*d - 2*d - k wrt d.
-13
Let a(c) = 12*c**3 + 29*c**2 + 2*c - 56. Let j(p) = -34*p**3 - 88*p**2 - 5*p + 167. Let h(w) = -8*a(w) - 3*j(w). What is the second derivative of h(u) wrt u?
36*u + 64
Let k(l) be the first derivative of 0*l**5 - 1/7*l**7 + 27 + 0*l**2 + 0*l - 13*l**3 + 7/4*l**4 + 0*l**6. Find the third derivative of k(u) wrt u.
-120*u**3 + 42
Let y(f) be the third derivative of -85*f**8/336 - 5*f**4/24 + f**3/2 + 20*f**2 - f. Find the second derivative of y(o) wrt o.
-1700*o**3
Suppose 0 = -0*r - r + 2. Let o = 479 - 477. What is the third derivative of -166*y**3 + y**r + 7*y**o + 165*y**3 wrt y?
-6
Let q(g) be the first derivative of 0*g**6 + 0*g**5 + 0*g + 10 - 3*g**7 - 2/3*g**3 + 0*g**2 + 0*g**4. Find the third derivative of q(b) wrt b.
-2520*b**3
Suppose 5*b - 10 = 5, -26 = -4*x - 2*b. Let w be 818/x + (-6)/(-15). What is the derivative of 7*c**4 + 1 - w*c**2 + 164*c**2 wrt c?
28*c**3
Let w(u) be the second derivative of 27*u**6/5 - 47*u**3/6 - 95*u. Find the second derivative of w(h) wrt h.
1944*h**2
Suppose -4*c + 15 = 3. Find the third derivative of -14*x**2 - x**3 + 3*x**c - 2*x**3 + 6*x**5 wrt x.
360*x**2
Suppose 176 - 426 = -4*i - 5*c, -199 = -3*i + 2*c. Find the third derivative of -65 + i + 19*m**2 - 5*m**6 wrt m.
-600*m**3
Let l(a) be the first derivative of -17/2*a**4 - 13*a**3 - 26 + 0*a**2 + 0*a. Find the third derivative of l(y) wrt y.
-204
Let c(x) be the third derivative of x**4/24 + 7*x**3/6 - 3*x**2. Let g be c(-5). Find the third derivative of -4 + 6*w**2 - w**6 + 2 + g wrt w.
-120*w**3
Let p(n) be the second derivative of -n**7/14 + 87*n**5/10 - 217*n**4/3 + 501*n. What is the third derivative of p(j) wrt j?
-180*j**2 + 1044
Let n(d) = -63*d**3 - d**2 - 11*d + 3. Let s(q) = 189*q**3 + q**2 + 34*q - 8. Let c(x) = 8*n(x) + 3*s(x). What is the third derivative of c(w) wrt w?
378
Let a be 3/(-1) + -3*3. Let w be 1 - (-8)/(a/(-3)). What is the first derivative of w + 3*p + 3 + 4*p wrt p?
7
Let o(q) be the third derivative of 0*q - 17/6*q**3 + 0 - 7*q**2 + 0*q**4 - 11/60*q**6 + 0*q**5. What is the first derivative of o(v) wrt v?
-66*v**2
Let s(c) be the third derivative of -7*c**6/15 + 29*c**5/20 + 2*c**2 - 22. Find the third derivative of s(y) wrt y.
-336
Let y(z) be the second derivative of -11*z - 3/4*z**4 + 0 + 0*z**2 + 1/2*z**3. What is the second derivative of y(m) wrt m?
-18
What is the derivative of -9 - 1 + 205*l - 6 - 30 wrt l?
205
Let w(d) be the third derivative of 0*d**5 - 16*d**2 - 2/3*d**4 + 0*d**3 + 0*d**6 + 0*d + 0*d**7 - 1/112*d**8 + 0. What is the second derivative of w(c) wrt c?
-60*c**3
Suppose -4*q - 5 + 33 = 0. Suppose -13 = -5*w - 5*x + q, -5*x + 19 = 4*w. Differentiate -8*r**4 + r**4 - w + 2*r**4 with respect to r.
-20*r**3
Let t(f) be the third derivative of 131*f**9/504 - f**8/168 + 21*f**5/10 + f**4/8 - 591*f**2. Find the third derivative of t(m) wrt m.
15720*m**3 - 120*m**2
What is the first derivative of 33*h**3 - 236*h**3 - 567 + 7678*h - 7678*h wrt h?
-609*h**2
Let g(d) be the third derivative of -4*d**2 + 5/24*d**4 + 0*d - 1/60*d**5 + 0*d**3 + 0. What is the second derivative of g(a) wrt a?
-2
Let u(h) be the first derivative of -142*h**5/5 - 506*h - 417. Differentiate u(j) with respect to j.
-568*j**3
What is the third derivative of -130*f**5 - 78*f**5 + 10*f**5 - 368*f**2 - 60*f**5 wrt f?
-15480*f**2
Suppose -8*n + 0*n = -80. Let c be (-11)/(-3) - (-6)/(-9). What is the second derivative of 4*z + 0*z**3 - n*z + 3*z**c wrt z?
18*z
What is the third derivative of -247*z**2 - 96*z**2 - 143*z**2 + 128*z**5 - 63*z**2 - z**5 wrt z?
7620*z**2
Let v(i) = 41*i**3 + 9*i**2 - 64. Let a(h) = -20*h**3 - 5*h**2 + 32. Let c(j) = -5*a(j) - 3*v(j). What is the derivative of c(r) wrt r?
-69*r**2 - 4*r
Let g(j) be the third derivative of -73*j**7/105 + j**6/120 - 77*j**5/12 + 73*j**2 - 2*j. What is the third derivative of g(x) wrt x?
-3504*x + 6
Let i(d) be the third derivative of -d**8/336 + d**7/14 - d**4/2 - 4*d**3/3 - 45*d**2 - 2. What is the second derivative of i(z) wrt z?
-20*z**3 + 180*z**2
Let o(c) be the second derivative of 7*c**6/30 + c**3/3 + 67*c**2/2 + 15*c + 3. Differentiate o(y) wrt y.
28*y**3 + 2
Suppose -5*r = -i - 7, -2*r = 2*r + 4. Let c be (-50)/i + 1/(-6). Find the second derivative of 0*k**4 + 4*k**4 - 6*k**c + 6*k wrt k.
-24*k**2
Let p(j) = 2*j**4 + j**3 + j - 1. Let m(q) = 168*q**4 - 5*q - 63. Let t(s) = m(s) + 2*p(s). Find the second derivative of t(w) wrt w.
2064*w**2 + 12*w
Find the third derivative of 2*b - 7*b**5 - 20*b**2 + 30*b**2 - 9*b**2 wrt b.
-420*b**2
Let l(y) = -y. Let q(d) = 116*d + 167. Let f(g) = 6*l(g) - q(g). Differentiate f(j) wrt j.
-122
Let n(x) be the first derivative of -58*x**3 - 675*x + 92. Differentiate n(k) wrt k.
-348*k
Let h(q) be the third derivative of -4*q**5/15 - 11*q**4/6 - 91*q**2. Find the second derivative of h(j) wrt j.
-32
What is the second derivative of 2*z - 75 - 9*z**3 + 68*z**3 + 466*z**3 - 58*z**3 wrt z?
2802*z
Suppose -t + 4 = 4*h - 5, -2*t + 5 = -5*h. What is the derivative of -7*i**2 + t - 12*i**2 + 72*i**2 - 10*i**2 wrt i?
86*i
Let a = 17 + -16. Suppose a = u - 1. Find the second derivative of 7*o + 4*o + o**u - 4*o - 2*o**2 wrt o.
-2
Suppose w + 5*b - 28 - 24 = 0, 4*b = 2*w - 48. Let q = -26 + w. Find the third derivative of q*g**2 - 46*g + 8*g**6 + 46*g wrt g.
960*g**3
Let b(r) be the third derivative of 95*r**8/42 - 43*r**4/3 - 123*r**2. Find the second derivative of b(w) wrt w.
15200*w**3
What is the third derivative of 21731 - 9*j**2 - 21731 - 15*j**3 - 10*j**3 wrt j?
-150
Suppose -3*m + 66 = -0*m. Find the third derivative of 12*y**2 + 15*y**2 - 3*y**6 - m*y**2 wrt y.
-360*y**3
Let s(c) be the second derivative of -77*c**3/6 + 9*c**2 + 42*c. Differentiate s(x) wrt x.
-77
Let f(c) be the second derivative of 107*c**5/20 - c**4/12 - 7*c**2/2 + c - 5. Find the third derivative of f(d) wrt d.
642
Suppose -3*v + 6*v - 9 = 0. Let w(b) = b - 25. Let o be w(28). What is the first derivat