
120*m**3
Suppose p - a = -5*a - 15, p + 3*a = -12. Let h = p - -10. Differentiate -4*f**2 - 3*f**2 - 2 - h with respect to f.
-14*f
Let i(q) be the second derivative of 427*q**5/20 + 169*q**2/2 - 84*q. Find the first derivative of i(f) wrt f.
1281*f**2
Let a(l) = -l**3 + 7*l**2 + 17*l + 13. Let j be a(9). Find the third derivative of t**6 + j*t**2 + 5*t**6 - 4*t**6 wrt t.
240*t**3
Find the third derivative of -90 - 174 - 167*s**5 + 264 - 407*s**2 wrt s.
-10020*s**2
Let n(k) be the second derivative of -3*k**6/40 - 3*k**4/4 + 3*k**2/2 + 6*k. Let c(i) be the first derivative of n(i). Find the second derivative of c(f) wrt f.
-54*f
Let t(o) = -5*o + 8 + 48 + 68 - 4*o**2 - 3*o. Let b(z) = 3*z**2 + 5*z - 83. Let m(d) = 8*b(d) + 5*t(d). What is the derivative of m(u) wrt u?
8*u
Let y(g) be the second derivative of g**6/10 + 3*g**4/4 - 153*g**2/2 + g + 8. Differentiate y(d) with respect to d.
12*d**3 + 18*d
Let q = -61 - -64. Find the first derivative of q*f + 11*f + 0*f + 0 + 3 wrt f.
14
What is the third derivative of -16*z**4 + 16*z - 140*z**6 - 815*z**6 + 144*z**6 + z**2 + 16*z**4 wrt z?
-97320*z**3
Let s(w) = -1679*w**3 - 5*w - 872. Let r(g) = 2520*g**3 + 7*g + 1308. Let l(p) = 5*r(p) + 7*s(p). Differentiate l(j) wrt j.
2541*j**2
Suppose -81*k + 76*k + 10 = 0. Let y(d) be the third derivative of 4*d**k - 7/24*d**4 + 0 + 0*d + d**3. What is the first derivative of y(r) wrt r?
-7
Let f(y) be the third derivative of y**8/336 + 8*y**7/105 + 37*y**4/6 - 2*y**2 - 33. What is the second derivative of f(w) wrt w?
20*w**3 + 192*w**2
Suppose 4*t - 1 = 7. What is the second derivative of -2*p - t*p**2 + 2*p**2 - 27*p**3 + 13*p**3 wrt p?
-84*p
Let h(j) be the third derivative of -j**4/6 - 7*j**3 + 61*j**2. What is the derivative of h(c) wrt c?
-4
Let b(o) be the second derivative of -131*o**5/10 + o**4/12 + 130*o**2 + 701*o. Differentiate b(k) with respect to k.
-786*k**2 + 2*k
Let o(u) be the second derivative of 19*u**8/14 + u**7/21 - 52*u**4 + 564*u. What is the third derivative of o(m) wrt m?
9120*m**3 + 120*m**2
Suppose 4*m - 5*m = 5*u - 88, 0 = -5*u - 3*m + 84. Find the third derivative of 3328 - 26*n**2 + u*n**6 - 3328 wrt n.
2160*n**3
Let b(f) = f**3 - 12*f**2 + f - 11. Let n be b(12). What is the first derivative of -168*g - n + 0 + 149*g wrt g?
-19
Suppose -5*k - 5*c + 105 = -0*c, -2*k = -3*c - 32. What is the second derivative of -9*o - 50*o**2 - k*o**5 + 50*o**2 wrt o?
-380*o**3
Let y(w) be the third derivative of w**5/20 + w**4/2 + 2*w**3 - 6*w**2. Let m(f) be the first derivative of y(f). Find the first derivative of m(i) wrt i.
6
Let n(j) = 267*j**3 + 6*j**2 + 6*j + 50. Let z(q) = -269*q**3 - 5*q**2 - 5*q - 49. Let a(u) = -5*n(u) - 6*z(u). Differentiate a(k) wrt k.
837*k**2
What is the first derivative of 10*s**2 - 55 + 24*s**2 + 5*s**2 - s + 0*s wrt s?
78*s - 1
What is the third derivative of -54*t**6 + 3*t - 18*t**2 - 26460 + 26460 wrt t?
-6480*t**3
Suppose 4*l + 0 - 3 = q, q = -3*l - 3. Suppose l = 5*u - 35 - 115. What is the derivative of 3*w**3 + 4 - 3*w**3 - 22*w**4 + u*w**4 wrt w?
32*w**3
Let l(j) be the third derivative of 0*j**4 + 0*j**6 - 6*j**2 + 0*j**5 - 7/3*j**3 + 1/15*j**7 + 0*j + 0. Differentiate l(f) wrt f.
56*f**3
Let p(k) = k + 3. Let c(s) = -121*s - 4. Let b(o) = -c(o) - 6*p(o). Find the first derivative of b(l) wrt l.
115
Differentiate -165 - 118084*u - 135*u**3 + 118084*u wrt u.
-405*u**2
Suppose -4*f = -6*f + 28. Suppose -5*q = -f + 4. Find the second derivative of 19*j**q - 19*j**2 + j**3 + 5*j**3 + 7*j wrt j.
36*j
Let r(l) be the second derivative of 0*l**2 + 0*l**5 - 8/3*l**3 + 1/42*l**7 - 10*l + 0*l**4 + 0 + 0*l**6. What is the second derivative of r(h) wrt h?
20*h**3
Suppose -14*u + 32 = -12*u. What is the third derivative of u*x**6 - 24*x**2 - 7*x**6 - 27*x**6 wrt x?
-2160*x**3
Let s be (1 + 2 + -10 + 2)/(-1). Find the third derivative of -a**5 - 4*a**s + 2*a**5 - 21*a**2 - a**5 wrt a.
-240*a**2
Let h = -81 - -83. Find the first derivative of -14*q**2 + 36 - 57 - 12*q**h wrt q.
-52*q
Suppose 48*f - 41*f = 35. Let o = 4 + 1. Find the third derivative of 0*q**2 - 2*q**2 + 9*q**o - 4*q**2 - 2*q**f wrt q.
420*q**2
Suppose t + 5*q = -4 + 2, -3*t + 33 = 2*q. Differentiate 133 - t*f - 34 - 63 with respect to f.
-13
What is the third derivative of 10*i**2 - 133*i**4 + 36*i**2 + 256*i**4 wrt i?
2952*i
Let h(f) be the third derivative of 4*f**2 + 1/24*f**4 + 0*f + 0 + 1/2*f**3. Differentiate h(d) with respect to d.
1
Let w = 66 - 61. Let y(j) = j - 4. Let p be y(6). Find the second derivative of -p*d**2 + 2*d**2 + 4*d**w + 3*d - 4*d wrt d.
80*d**3
What is the third derivative of -4*x**3 - 214 - 88*x**6 + x**2 + 388 + x**2 wrt x?
-10560*x**3 - 24
Suppose 4*f + 2*f - 12 = 0. Find the third derivative of 2120 - 22*m**6 + 11*m**f - 2120 wrt m.
-2640*m**3
Let n(z) be the first derivative of 12*z**4 + z**2 - 237*z - 198. Differentiate n(x) wrt x.
144*x**2 + 2
What is the second derivative of 33*w**3 + 103*w**3 + 341*w**3 - w**2 - 563*w wrt w?
2862*w - 2
What is the derivative of -9 - 21*o**2 - 40*o**3 + 3 + 41*o**3 + 41 wrt o?
3*o**2 - 42*o
Let m(g) be the third derivative of -3*g**7/14 - g**6/60 + 21*g**5/20 - 122*g**2. Find the third derivative of m(b) wrt b.
-1080*b - 12
Let b(r) be the third derivative of r**6/180 + 5*r**4/12 - 17*r**3/6 + 2*r**2. Let w(s) be the first derivative of b(s). Differentiate w(q) wrt q.
4*q
Let y(k) = 11*k**2. Let r be y(-2). Suppose -2*t - r = -5*o, 4*o + 5*t - 21 = 1. What is the third derivative of -4*f**5 + f**5 + o*f**5 + 6*f**2 wrt f?
300*f**2
Let q = -31 - -34. Suppose q*c + 23 = 4*c. Find the second derivative of 6*d**3 + 4*d**3 + 29*d - c*d wrt d.
60*d
Let u(x) = 133*x - 38. Let y(a) = -a - 3. Let g(i) = -u(i) - 5*y(i). Find the first derivative of g(p) wrt p.
-128
Let u = -2 + 7. Let d(o) be the second derivative of -4*o - 1/10*o**u - 2/3*o**3 + 0 + 0*o**2 + 0*o**4. What is the second derivative of d(j) wrt j?
-12*j
Let s(k) be the first derivative of 113*k**7/7 + 62*k**3/3 + 79. Find the third derivative of s(x) wrt x.
13560*x**3
Let d(l) be the third derivative of 30*l**2 + 0*l + 19/210*l**7 + 0*l**4 + 0 + 0*l**6 - 13/30*l**5 + 0*l**3. Find the third derivative of d(t) wrt t.
456*t
Let h be (-171)/19 + (9 - 0). Let p(f) be the second derivative of h + 0*f**4 - 10*f - 3/20*f**5 + 6*f**2 + 0*f**3. What is the derivative of p(o) wrt o?
-9*o**2
Let c = 129 + -127. Let a(w) be the second derivative of 3*w**c + 0*w**3 + 5/12*w**4 - 2*w + 0. What is the derivative of a(q) wrt q?
10*q
Let q be ((-3)/2)/(15/40). Let d be 7 - (-2)/(q/6). What is the second derivative of -3 - 2 - 3*j**2 + 5 + d*j wrt j?
-6
Let r = 11 - -1. What is the first derivative of r*q - 198 + 186 + 18*q wrt q?
30
What is the second derivative of 2*t**2 - 13*t**2 + 509*t - 508*t + 38 wrt t?
-22
Let h(c) be the third derivative of -257*c**5/60 - 17*c**4/8 - c**3/3 + 2*c**2 - 92*c. Find the second derivative of h(f) wrt f.
-514
What is the third derivative of -129 + 87*i**4 - 105 + 371 + i**2 + 100*i**4 wrt i?
4488*i
Let t(m) be the second derivative of 0*m**4 + 0*m**5 + 1/2*m**6 + 0*m**2 - 8*m + 0 - 4/3*m**3. Find the second derivative of t(g) wrt g.
180*g**2
Differentiate -100 + 0*i**2 + 0*i**2 - 60*i**3 - 35*i**3 with respect to i.
-285*i**2
Let g be (9 + -10)*(-1 + 7). Let o be 2/12*(-36)/g. Differentiate 298*w**3 - 298*w**3 + o - 6*w**4 with respect to w.
-24*w**3
Let t(f) be the first derivative of -3*f**5/5 + 3*f**2 + 33*f + 649. What is the second derivative of t(b) wrt b?
-36*b**2
Let v(s) = 11*s**3 + 3*s + 1. Let x(c) = -20*c**3 - 3 - 1 - 8*c - 13*c**3. Let u(p) = -8*v(p) - 3*x(p). What is the derivative of u(j) wrt j?
33*j**2
Suppose -4*j + 87 = -9. Suppose 5*i - 6 - j = 0. What is the second derivative of 11*w**2 - 13*w - 3*w**2 + i*w wrt w?
16
Let y(t) = 2*t - 4. Let c be y(3). Let w(d) be the first derivative of -4 + d - 7/2*d**c. What is the first derivative of w(k) wrt k?
-7
What is the third derivative of 53*v**2 + 5*v**4 + 21*v**5 + 2*v**2 - 22*v**5 + v**4 wrt v?
-60*v**2 + 144*v
What is the third derivative of -31*v**4 + 17*v**4 + 30*v**2 + 4*v**4 + 2 + 5*v**5 wrt v?
300*v**2 - 240*v
Let v(q) = -q - 3. Let t be v(-8). Suppose 5*o = l - 0*l - t, 2*o - 6 = 0. Find the third derivative of -26*y**2 + 7*y**3