t + 12
Let h(v) = v**3 - 4*v**2 + 6*v - 6. Let m be h(4). Let x(n) be the first derivative of -13*n - n**4 + 2 + m*n - 8. What is the first derivative of x(z) wrt z?
-12*z**2
Suppose 4*t = -u + 72, 5*t + 0*u + 3*u - 83 = 0. Differentiate 3 - 7 + 4*g**4 + t*g**4 + 7*g**4 with respect to g.
120*g**3
Let a = 2/75 + 98/75. Let r(x) be the first derivative of 1/2*x**2 - a*x**3 + 5 + 0*x. What is the second derivative of r(l) wrt l?
-8
Suppose 0 = -2*w + 2 + 2. What is the third derivative of 4*t**2 - 23*t**4 + 24*t**4 - 3*t**w + 2*t**2 wrt t?
24*t
Let a(l) = -l**3 - l**2 + 4. Let m be a(0). What is the third derivative of m*z**2 + 6*z**2 + z**5 + 6*z**5 - 4*z**2 wrt z?
420*z**2
Let z be 28/(-7)*((-1)/2)/1. What is the derivative of -9*v**4 - 2*v**4 - 17 - z*v**4 + 2*v**4 wrt v?
-44*v**3
Let l(w) = -347*w + 352*w - 1 + w**2 - 1. Let s be l(-6). Find the second derivative of -7*k**3 + 4*k**s + 2*k + 0*k**3 + 7*k**3 wrt k.
48*k**2
Let b(k) be the first derivative of -25*k**4/2 - k**2 - 9*k + 126. Find the second derivative of b(x) wrt x.
-300*x
Let k = 69 - 68. Let o(l) = -30*l - 19. Let t(m) = -1. Let w(q) = k*o(q) + 3*t(q). Differentiate w(h) wrt h.
-30
Let r(s) = s**2 - 7*s + 2. Let h be r(7). Find the third derivative of 8*b**4 + 0*b**3 + 0*b**3 - 380*b**h + 370*b**2 wrt b.
192*b
Let b(o) = o**2 - 4*o + 4. Let p be b(4). Let a(q) = -q**2 - 5*q + 68. Let w be a(6). Find the second derivative of -2*f**4 + w*f - 9*f + 3*f**p - 2*f**4 wrt f.
-12*f**2
Let a = 9 - 1. Let j be -4 + 0 + -2 + a. What is the second derivative of 6 - v**5 - 6 - v + j*v**5 wrt v?
20*v**3
What is the derivative of 14 - 64*p - 25*p - 31 + 119 + 46 wrt p?
-89
Let t(s) = -414*s**2 + 1359*s - 63. Let o(m) = 103*m**2 - 340*m + 15. Let x(d) = 21*o(d) + 5*t(d). What is the second derivative of x(i) wrt i?
186
Find the third derivative of -9*w**6 + 4 + 33*w**2 + 2*w**5 + 5*w**2 + 0*w**5 - 19*w**2 wrt w.
-1080*w**3 + 120*w**2
Let k(j) be the third derivative of 9/8*j**4 - 11/6*j**3 + 0 + 0*j + 2*j**2. Differentiate k(m) wrt m.
27
Let v(s) = s**2 - 5*s - 1. Let b be v(5). Let q be (0 - 1)/b*0. What is the third derivative of q*n**3 - 8*n**2 + n**3 + 8*n**5 - n**3 wrt n?
480*n**2
Let c(w) be the third derivative of -47*w**7/210 - w**5/15 + 395*w**3/6 + w**2 + 41. Differentiate c(q) wrt q.
-188*q**3 - 8*q
Let h = 5 - 1. What is the derivative of 5*b - h*b + b - 35 - 4*b**2 - 4*b wrt b?
-8*b - 2
Suppose 0 = 4*a - 2*a - 10. Suppose -a*m - 4*w = -16, m - 3 = -m - 5*w. Differentiate -5*b**3 + b**m + 5*b**3 + 4 - 5*b**4 with respect to b.
-16*b**3
Let h(f) = -5144*f**2 - 686. Let i(d) = 735*d**2 + 98. Let v(u) = 2*h(u) + 15*i(u). Find the first derivative of v(y) wrt y.
1474*y
Let b(h) = 1. Let d(m) = 3*m - 2. Let p(w) = -8*b(w) - 3*d(w). What is the derivative of p(x) wrt x?
-9
Let c(p) = -2*p**3 - p**2 + p - 3. Let s(t) = 8*t**3 - 5*t**2 + 13*t - 402. Let m(j) = 5*c(j) - s(j). Differentiate m(u) with respect to u.
-54*u**2 - 8
Let o(z) be the third derivative of -z**7/105 + 22*z**5/15 + z**4/24 + 119*z**3/3 + z**2 + 194*z. What is the second derivative of o(c) wrt c?
-24*c**2 + 176
Let z(y) = -10 + 2*y**3 - 5*y + 4*y**3 - 5*y**3 + 8*y**2. Let x be z(-6). Find the second derivative of 7*i**5 - 41*i + x*i - 42*i wrt i.
140*i**3
Let l(h) = -53*h**3 - 2*h**2 - 9*h - 4. Let t(f) = -52*f**3 - f**2 - 8*f - 3. Let u(s) = -3*l(s) + 4*t(s). What is the second derivative of u(j) wrt j?
-294*j + 4
What is the derivative of -119 + 5 + 319*h**3 - 150*h**3 - 55 wrt h?
507*h**2
Let y be (4/(-4))/(2/(-38)). Differentiate -4 - 8 - y*p + 7*p + 0 with respect to p.
-12
Let o(u) be the second derivative of 7*u**6/30 + 5*u**4/6 + u**3/3 + 112*u**2 - 4*u - 160. What is the second derivative of o(l) wrt l?
84*l**2 + 20
Let c(m) = 6*m**3 + 0*m**2 - 54 - 2*m**2 + 6*m**2 - m**2. Let d(r) = r**3. Let t(z) = -c(z) - 5*d(z). What is the first derivative of t(s) wrt s?
-33*s**2 - 6*s
Suppose 3*c = 20 - 8. What is the third derivative of -c*p**2 + 2*p**2 + 10*p**6 - p**2 + 8*p**2 wrt p?
1200*p**3
Let d be (-64)/(-12) + (-6)/(-9). Let g(z) = z - 3. Let p be g(d). Find the third derivative of w**2 + 2*w**p - 2*w**4 + 2*w**2 - 2*w**3 wrt w.
-48*w
Let w(x) = -20*x**4 - 8*x**3 + 5*x**2 - 277. Let y(c) = -c**4 + 2*c**3 - c**2 - 3. Let a(n) = w(n) + 5*y(n). Find the first derivative of a(i) wrt i.
-100*i**3 + 6*i**2
Let v(m) = 8*m**3 + m - 2. Let i be v(1). Suppose -i*w + 9*w = 0. Find the second derivative of -2*q**5 - 5*q + 9*q - 10*q**5 + w*q wrt q.
-240*q**3
Let n(i) be the third derivative of -i**5/60 - 5*i**4/6 - 85*i**3/3 + 163*i**2. Differentiate n(y) wrt y.
-2*y - 20
Let x(s) be the second derivative of 71*s**4/3 - 273*s**2 - 867*s. Differentiate x(k) wrt k.
568*k
Let l(r) = 10*r**3 + 3*r**2 + 3*r + 40. Let s(u) = -2*u**3 - u**2 - u - 1. Let k(v) = 2*l(v) + 6*s(v). What is the derivative of k(i) wrt i?
24*i**2
What is the second derivative of 13*m + 18*m**4 + 6 + 30*m**4 + 2*m - 8 wrt m?
576*m**2
Let h(r) be the second derivative of r**4/12 + 4*r**3/3 + 5*r**2 - 4*r. Let a be h(-7). Find the second derivative of -w + 14*w**4 + a*w**5 - 14*w**4 wrt w.
60*w**3
Find the third derivative of -25*c + 0*c**4 + c**2 + 31295*c**5 - 31596*c**5 + 0*c**4 wrt c.
-18060*c**2
Let v be (-305)/10 + (-3)/2. Let p = v - -35. Find the third derivative of 0*s**2 - 7*s**2 + s**4 - 6*s**4 - p*s**2 wrt s.
-120*s
Let r(d) be the first derivative of -17*d**7/105 + 17*d**3/6 + 35*d**2/2 + 24. Let s(i) be the second derivative of r(i). Differentiate s(o) with respect to o.
-136*o**3
Suppose -2*f + 4 = -f. Let b(x) be the first derivative of 15*x**4 + x**5 - 15*x**4 - 4 + f*x. Find the first derivative of b(w) wrt w.
20*w**3
Let x(j) be the first derivative of 11*j**3/3 - j**2 - 53*j - 107. Differentiate x(p) with respect to p.
22*p - 2
Suppose -2*l - 4*s = l - 2, -3*s - 3 = 0. Find the third derivative of 219 - 219 - 6*k**5 - 13*k**l wrt k.
-360*k**2
Let b(x) be the first derivative of 64*x**3/3 - 2*x**2 - 72. Find the second derivative of b(o) wrt o.
128
Let g(z) = -33*z**3 + 3*z**2 - 6*z + 29. Let c(w) = w**2 - 2*w - 1. Let u(j) = 12*c(j) - 4*g(j). Differentiate u(t) with respect to t.
396*t**2
Suppose 3*y + 3*b = -0*b - 15, 0 = -5*b - 25. Suppose y = -4*j + 2*p - 2, p - 2*p = -5. Find the first derivative of 4*v**j - 5 + v - v wrt v.
8*v
Let z(q) be the second derivative of 17*q**5/60 + 4*q**3 + 15*q**2/2 + 8*q. Let b(r) be the first derivative of z(r). What is the derivative of b(t) wrt t?
34*t
Suppose -m - 5*x + 10 = 0, 3*m = 6*x - 7*x + 30. Find the first derivative of m*j**2 + 0*j - 51 + 0*j + 80 wrt j.
20*j
Suppose 0 = m + m. Let p be 1 + 9/(3 + m). Differentiate -4*t - p*t + 5*t + 2 - 1 with respect to t.
-3
Let u(l) = l**2 + 10*l - 5. Suppose 2*v = -17 - 5. Let t be u(v). What is the third derivative of -3*m**2 + 2*m**5 + 2*m**5 + t*m**2 - 2*m**5 wrt m?
120*m**2
What is the third derivative of 9*l**3 + 2*l - 5*l**2 + 33*l**2 - 7*l**3 - 2*l**4 wrt l?
-48*l + 12
Let p(y) = -y**3 + 7*y**2 + 9*y - 6. Let m be 5*((-16)/5)/(-2). Let j be p(m). Find the third derivative of 3*h**5 - h**2 - 7*h**5 - h**j wrt h.
-240*h**2
Let q be 11/(3 + -2) + 0. Find the first derivative of -q*x**3 + 11*x**3 - 1 + 8 + 10*x**4 wrt x.
40*x**3
Find the third derivative of -2*o**3 + 370*o**4 - 17*o**2 - 13*o**2 + 342*o**4 - 676*o**4 wrt o.
864*o - 12
Let l(i) be the third derivative of i**8/56 + i**6/40 + 103*i**5/60 + 91*i**2. Find the third derivative of l(z) wrt z.
360*z**2 + 18
Let b(y) = -y + 14. Let m be b(13). Let t = m + 5. Find the second derivative of 3*i**2 + t*i + 0*i**2 - 4*i - 3*i wrt i.
6
Find the first derivative of -121*s - 20 - 91*s + 190 + 77 wrt s.
-212
Let h be 10 + (-8)/(-12)*-6. Let a(c) be the first derivative of 7/3*c**3 + 0*c**4 + 0*c**2 + 0*c + 2/5*c**5 + h. Find the third derivative of a(k) wrt k.
48*k
What is the third derivative of 198*t**3 + 196*t**6 - 198*t**3 - 7*t**2 + 241*t**6 + 10*t**2 + 67 wrt t?
52440*t**3
Let q(a) = -6*a - 15. Let m be q(-3). What is the second derivative of 2*u**2 - 55*u - u**3 + u**m + 10102*u**4 - 10078*u**4 wrt u?
288*u**2 + 4
Let m = -119 + 120. Let d(j) be the first derivative of 3/4*j**4 + 0*j**3 + 0*j**2 - j - m. Differentiate d(s) wrt s.
9*s**2
Let k = 54 - 47. What is the third derivative of -4 + 