- 4*a**2 - 5. Let y(q) = -5*c(q) - 7*w(q). What is the derivative of y(z) wrt z?
-33
Let m(k) be the second derivative of 464*k**6/15 - 2*k**3 - k**2/2 + 226*k + 2. What is the second derivative of m(r) wrt r?
11136*r**2
Let j(h) be the second derivative of 0*h**4 + 0*h**5 + 0*h**3 + 0 - 29*h + 17/15*h**6 - 9*h**2. What is the derivative of j(g) wrt g?
136*g**3
Let r(p) = 2*p + 24. Let g be r(-10). Differentiate -x**2 - 8*x**2 + 7*x**2 + g with respect to x.
-4*x
Let r(q) = -3*q**3 + q**2 + q + 1. Let a(j) = -12*j**3 + 151*j + 3. Let s(x) = a(x) - 3*r(x). What is the second derivative of s(w) wrt w?
-18*w - 6
Differentiate -203 - 573*a**3 + 540 + 116*a**3 - 601*a**3 + 317 with respect to a.
-3174*a**2
Let x(v) be the third derivative of 0 + 3*v**2 - 9/20*v**5 - 5*v + 17/60*v**6 + 0*v**3 + 0*v**4. Find the third derivative of x(y) wrt y.
204
Let o(b) = -b - 14. Let h be o(-19). Find the third derivative of -7*g**h - 18*g**2 + 4*g**2 + 22*g**5 wrt g.
900*g**2
Let z be (14 - 19)*4/(-10). What is the third derivative of 3*m**2 + 5*m**z + 111*m**5 - 120*m**5 wrt m?
-540*m**2
Let c(r) be the third derivative of -r**8/112 + r**7/15 + 881*r**5/60 + 479*r**2. What is the third derivative of c(x) wrt x?
-180*x**2 + 336*x
Let a(r) be the second derivative of 51*r**6/10 + 18*r**2 + 192*r. What is the derivative of a(u) wrt u?
612*u**3
Let i(c) = -706*c**2 - 1435. Let l(t) = 353*t**2 + 717. Let m(h) = 6*i(h) + 11*l(h). What is the first derivative of m(w) wrt w?
-706*w
Let r(b) = 2*b - 2. Let m be r(3). Let n be (-1 - -5) + (-6)/3. Find the third derivative of -6*t + 5*t**n + m*t - 6*t**4 + 2*t wrt t.
-144*t
Let b(n) be the third derivative of 601*n**5/60 - 143*n**4/12 + 170*n**2. What is the second derivative of b(y) wrt y?
1202
Let w be (-21)/(-15) - (-2)/(-5). Let l be ((-7)/14)/(w/(-12)). Find the third derivative of -4*h**l + 7*h**6 - 2*h**2 - 2*h**2 wrt h.
360*h**3
Suppose -13 = 5*h - 53. What is the third derivative of h*i**4 + 7*i**2 - 3*i**2 - 6*i**4 wrt i?
48*i
Let n(s) be the second derivative of -13*s**7/42 - 3*s**5/20 + s**3/6 + 11*s**2 + 44*s. Find the second derivative of n(w) wrt w.
-260*w**3 - 18*w
Let a(h) be the second derivative of -h**6/30 - 77*h**5/10 - h**4/6 + 19*h**3/3 + h - 16. What is the third derivative of a(f) wrt f?
-24*f - 924
Let i be (-2)/(-4) + (-2)/4. Suppose 6 = r - i. Find the first derivative of -9 + 5 - r*p + 3 wrt p.
-6
What is the first derivative of 10*h**2 + 1441*h + 27*h**2 - 1441*h + 2*h**4 + 61 wrt h?
8*h**3 + 74*h
Let v(r) = -25*r**3 + r - 15. Let h(w) = -23*w**3 + w - 14. Let u(z) = -6*h(z) + 7*v(z). What is the second derivative of u(f) wrt f?
-222*f
Suppose -5*a + 5*c = -25, a + c = 4 - 1. Differentiate -7 + 49*m + a + 10 wrt m.
49
Let s be 3 - (-88)/40 - 4. Let x(q) be the first derivative of 0*q**4 - 4/3*q**3 + 3 - s*q**5 + 0*q**2 + 0*q. What is the third derivative of x(v) wrt v?
-144*v
Let u(i) = i. Let s(g) be the second derivative of 3*g**3 + 37*g**2/2 + 13*g. Let m(w) = -s(w) + 2*u(w). Differentiate m(b) wrt b.
-16
Let v = -14 - -17. Suppose v = -5*l - 7. Let o(c) = -5*c + 1. Let n(d) = -d - 1. Let k(y) = l*n(y) + o(y). Differentiate k(b) wrt b.
-3
Suppose -n = -3*g + 15 + 14, -5*g + 51 = -n. What is the second derivative of g*a**2 - 17*a - a + a + 0*a wrt a?
22
Suppose -x + 1 = -2*x - w, 3*x - 3*w - 21 = 0. Find the third derivative of -17*g**2 + 4*g**3 - 198 - 5*g**x + 198 wrt g.
-6
Let u(o) be the second derivative of 13*o**6/15 - 7*o**3/6 + 3*o**2/2 - 77*o. Find the second derivative of u(m) wrt m.
312*m**2
Suppose 5*g - 21 = 2*i, i + 4*g - g = 17. Differentiate 18*r**2 - 73*r**2 + 23*r**2 + 8 + 23*r**2 - i*r with respect to r.
-18*r - 2
Let f(t) = 33*t**2 + 3*t + 7. Let w(n) = -98*n**2 - 8*n - 20. Let h = 71 + -79. Let i(k) = h*f(k) - 3*w(k). Differentiate i(p) with respect to p.
60*p
Let a(c) be the first derivative of 801*c**2/2 + 180*c - 192. Differentiate a(g) with respect to g.
801
Suppose -3*f = -1 - 5. Find the second derivative of 42*m - f*m**5 - 48*m + 8*m**5 wrt m.
120*m**3
Let r(k) be the first derivative of 3*k**7/7 + 3*k**4/4 + 103*k**3/3 - k**2/2 + 105. What is the third derivative of r(g) wrt g?
360*g**3 + 18
Let h(x) = x**2 - 3*x + 6. Let o be h(4). Suppose 2 = -2*t + o. Find the third derivative of -36*u**4 + u**2 + 36*u**t + 8*u**5 + 0*u**2 wrt u.
480*u**2
Let a(i) be the first derivative of -389*i**4/4 + i**2 + 132*i + 374. Find the second derivative of a(w) wrt w.
-2334*w
Suppose s - 17 = -13. Find the third derivative of -397*w + 27*w**2 + 26*w**s + 397*w wrt w.
624*w
Let k(b) be the first derivative of b**10/360 - 13*b**6/360 + 4*b**3/3 + 25. Let w(j) be the third derivative of k(j). Find the third derivative of w(c) wrt c.
1680*c**3
Suppose 8 = -56*f + 58*f. Differentiate 3 - f*s - 8*s + 18 - 9*s with respect to s.
-21
Differentiate 36 + 9*q**2 - q - q**2 - 112 - 16 + 4*q wrt q.
16*q + 3
Let z(h) be the first derivative of 3*h**4/2 - 5*h**3/3 - 13*h + 18. Let g(v) be the first derivative of z(v). What is the second derivative of g(n) wrt n?
36
What is the first derivative of -29 - 3*y + 592*y**2 + 11*y**4 - 28 - 592*y**2 wrt y?
44*y**3 - 3
Find the third derivative of -22*s - 17*s**3 + 9*s**3 + 21*s**3 + s**3 - 2*s**2 wrt s.
84
Let y(r) be the second derivative of 103*r**8/14 + 331*r**4/12 - 368*r. What is the third derivative of y(z) wrt z?
49440*z**3
Let z(m) = -211*m**3 + 2*m**2 - 4*m - 10. Let n(q) = -420*q**3 + 4*q**2 - 7*q - 18. Let y(h) = 4*n(h) - 7*z(h). What is the third derivative of y(u) wrt u?
-1218
Let a = -87 + 93. What is the third derivative of -14*t**a + 16*t**6 + 21*t**2 - 45*t**6 wrt t?
-5160*t**3
Let w(i) = -584*i**2 + 50*i + 41. Let l(s) = 1168*s**2 - 116*s - 82. Let v(a) = 3*l(a) + 7*w(a). Find the second derivative of v(f) wrt f.
-1168
Let o(d) = -d. Let m(a) = -1 + 4*a - a - 4*a - 2. Let b be m(-4). Let t(x) = -2*x + 2. Let q(c) = b*o(c) + t(c). What is the first derivative of q(z) wrt z?
-3
Let m = -35 - -27. Let r = 12 + m. What is the second derivative of -7*j + 3*j + 2*j**r + j**4 - 9*j wrt j?
36*j**2
Let f(v) be the first derivative of -v**6/6 - 43*v**4/4 - 2*v**3/3 + 5*v**2 + 53. What is the third derivative of f(q) wrt q?
-60*q**2 - 258
What is the first derivative of 105 + 26*c**2 + 27*c**3 - 18*c**2 - 8*c**2 + 42 wrt c?
81*c**2
Let k(m) = m - 7. Let n be k(11). What is the third derivative of 11*i**5 + 3*i**5 - 9*i**2 - n*i**5 wrt i?
600*i**2
Let q(o) = o - 1. Let l be q(5). What is the third derivative of 243*d - 243*d - 12*d**3 - l*d**2 wrt d?
-72
Let j(a) be the first derivative of 0*a**4 + 0*a**5 + 9/7*a**7 + 0*a + 0*a**2 - 8 + 0*a**6 + 14/3*a**3. What is the third derivative of j(c) wrt c?
1080*c**3
Let m(i) = 6*i**2 + 3*i - 6. Let j be m(-4). Find the third derivative of 78 - j + 15*c**4 - 16*c**2 wrt c.
360*c
Let s(x) be the third derivative of 11*x**8/28 + 95*x**4/24 - 152*x**2. What is the second derivative of s(z) wrt z?
2640*z**3
Let a(j) be the first derivative of -21*j**4 - 7*j**2/2 - 7*j + 5. Find the second derivative of a(g) wrt g.
-504*g
Let h(b) be the first derivative of -17*b**5 + 2*b**3/3 + b**2/2 + 143. Find the third derivative of h(l) wrt l.
-2040*l
Let l(t) be the first derivative of 8*t**6/3 + 7*t**5/5 + 173*t**3/3 - t + 4. Find the third derivative of l(c) wrt c.
960*c**2 + 168*c
Let y be 5*((-1)/(-5) + 0). Let u = y - -1. Find the second derivative of -d**2 - 5*d**2 + 4*d + d**u wrt d.
-10
Let d(i) = -14*i**2 + 13. Let z(o) = -14*o**2 + 13. Let n(r) = 4*r - 10*r + 5*r - 3. Let m be n(-6). Let b(p) = m*z(p) - 2*d(p). Differentiate b(t) wrt t.
-28*t
What is the second derivative of -1 + 112*r**4 + 1 + 45*r**4 - 158*r - 16*r**4 wrt r?
1692*r**2
Let s(r) be the second derivative of -r**5/10 + 23*r**4/4 + 7*r**3/2 - 9*r - 3. Find the second derivative of s(i) wrt i.
-12*i + 138
Suppose 9*d - 71 = 100. What is the first derivative of -20*n**3 - 23*n + d*n**3 + 24*n + 16 - 33*n**3 wrt n?
-102*n**2 + 1
Let s(w) be the first derivative of 5*w**4/4 + 3*w**3 - 181*w**2/2 + 425. Find the second derivative of s(p) wrt p.
30*p + 18
Suppose -b + 3*p - 1 = -0, 4*b - 3*p - 5 = 0. What is the first derivative of b + 0 - 65*s**4 + 64*s**4 wrt s?
-4*s**3
What is the first derivative of 2*w**2 + 7*w**2 + 9 + w**4 + 79 + 57 wrt 