t is the second derivative of v(a) wrt a?
1976
Suppose -h + c = 9 - 46, 3*h - 5*c = 115. Let m = h - 23. Find the second derivative of 3*k + 25*k**5 + 8*k + m*k**5 wrt k.
740*k**3
Let v(x) be the second derivative of -11*x**7/21 - x**6/2 - x**5/10 + 2431*x**4/12 - 5004*x. Find the third derivative of v(m) wrt m.
-1320*m**2 - 360*m - 12
Let m(g) = 3*g**2 - 57*g + 4. Let j be m(19). Let f = 6 + -2. What is the first derivative of 10 + 2*c**f + 5*c**j + 6*c**4 wrt c?
52*c**3
Differentiate -20*q**4 - 1151*q**2 + 3286 + 1046*q**2 + 5466 with respect to q.
-80*q**3 - 210*q
Let m(w) be the second derivative of -389*w**3/2 + 877*w**2/2 - 983*w + 2. What is the first derivative of m(p) wrt p?
-1167
Suppose 4*g = 9 - 33. Let i(h) = h. Let w(p) = 26*p**3 + 2*p**2 - 6*p + 3. Let m(x) = g*i(x) - w(x). Differentiate m(f) with respect to f.
-78*f**2 - 4*f
Let w be (-1 + 1)*(8 + 51/(-6)). Suppose i = 4*p - 24, 4*p + 20 = 8*p - 2*i. Find the second derivative of w*k + k - 5 - p*k**2 + 0 + 1 wrt k.
-14
Let u = -25 - 4. Let v = -27 - u. Find the third derivative of 4*r**v + 2*r**5 - 200 + 200 + 4*r**2 wrt r.
120*r**2
Let j(w) = 2*w**2 + 7*w - 8. Let d be j(1). Differentiate -193*a + 178*a + d - 61 wrt a.
-15
Let h = -36 - -40. Find the second derivative of s**h + 26*s + s**3 - 5*s + 48*s wrt s.
12*s**2 + 6*s
Suppose -7*z = -55 - 8. Suppose -z*g = g - 40. Find the third derivative of 10*b**g - 28*b**4 - 14*b**2 - b**2 wrt b.
-432*b
Let f(y) be the first derivative of -37*y**4/24 - 10*y**3 - 101*y**2/2 + 112. Let w(m) be the second derivative of f(m). Differentiate w(i) with respect to i.
-37
Let s be 10 - (-372)/(-36) - (-10)/3. Find the third derivative of 9*d**4 - 3899*d**2 + 1722*d**2 + 1926*d**2 + 17*d**s wrt d.
216*d + 102
Let v(m) be the third derivative of m**8/336 - 5*m**7/14 + m**5/12 + 541*m**4/12 + m**3/3 - 2*m**2 + m - 7. Find the second derivative of v(n) wrt n.
20*n**3 - 900*n**2 + 10
Let j = 275 + -230. Differentiate 36*a**4 + j + 165 + 83*a**4 with respect to a.
476*a**3
Suppose 6*l + 8*l = 154. Differentiate -24 - 18*u**2 - 42 + l - 68*u**2 wrt u.
-172*u
Let q(d) be the second derivative of d**5/2 - 7*d**4/3 - 7*d**3/6 - 81*d**2 - 2074*d. Find the second derivative of q(c) wrt c.
60*c - 56
Differentiate 352 + 1121*f + 615 - 645 with respect to f.
1121
Let v(t) = 1704*t + 1791. Let n(q) = 52*q + 1. Let s(a) = 42*n(a) - 2*v(a). Find the first derivative of s(z) wrt z.
-1224
Let r(c) = 6523*c**3 - 7*c + 5820. Let h(z) = -9785*z**3 + 10*z - 8730. Let s(q) = 7*h(q) + 10*r(q). Differentiate s(v) wrt v.
-9795*v**2
Find the first derivative of 2597*a - 4269 + 1287*a + 201*a - 468*a wrt a.
3617
Let p(u) = -562*u - 1684. Let v be p(-3). Let y(j) be the first derivative of 0*j**v + 27 + 6*j**4 - 23/3*j**3 + 0*j. Find the third derivative of y(a) wrt a.
144
What is the first derivative of -8093*n**2 - 5055 + 791 - 694 wrt n?
-16186*n
Suppose 0 = -5*r + 4*r + 2*r. Suppose 0 = -r*p + p. Find the second derivative of -4*a + 1832*a**2 + p*a - 1832*a**2 + 4*a**3 wrt a.
24*a
Differentiate 57 + 944 - 1019*x**2 - 128*x**2 with respect to x.
-2294*x
Let k be (-3 - 0) + (0 - -6). Suppose -r - 1 = -2*r - 3*d, -2*r + 5 = k*d. Find the second derivative of 13*n - 14*n**r + n + 7*n + 5*n wrt n.
-168*n**2
Let y(p) be the first derivative of 8033*p**4/4 - 870*p**2 - 2597. What is the second derivative of y(h) wrt h?
48198*h
Let m(t) be the third derivative of 162*t**5/5 - 949*t**4/24 + 1065*t**2. Find the second derivative of m(s) wrt s.
3888
Let r = -5052 + 5055. Let q(v) be the first derivative of 0*v**4 - 3/2*v**2 + 0*v + 1 + 0*v**r + 6/5*v**5. What is the second derivative of q(n) wrt n?
72*n**2
Suppose -4*q - 3 = -19, 178 = 2*p - q. Suppose 2*r = -0*r + 5*h + p, 4*h = -12. What is the first derivative of 10*g**3 - r - 42*g**3 + 47 wrt g?
-96*g**2
Let a(i) be the third derivative of -193*i**6/10 + i**5/60 + 7*i**4/8 - 11*i**3/6 + 4*i**2 + 23*i. What is the second derivative of a(h) wrt h?
-13896*h + 2
Let m(r) be the third derivative of 58*r**7/7 - 13*r**4/12 + 3*r**3 + 1640*r**2. Find the second derivative of m(d) wrt d.
20880*d**2
Let r(v) be the third derivative of 2*v - 11/24*v**4 + 0 + 46/3*v**3 - 4*v**2 + 1/10*v**5. Differentiate r(x) wrt x.
12*x - 11
Let u(v) be the first derivative of -1889*v**3/3 - 1453*v**2/2 - 3301. Find the second derivative of u(n) wrt n.
-3778
Suppose 4*l - 5*b = 34, 2*l = 7*l - 3*b - 36. Let t be (-9)/(-5)*1/l*20. Find the third derivative of 71*u**3 + 0*u**2 - 71*u**3 - 5*u**t - 2*u**2 wrt u.
-600*u**3
What is the third derivative of -3*y**4 - 11*y**2 + 6*y**3 + 2*y - 4*y**3 + 1160 - 4*y**2 - 26*y**2 - 1093 + 1286*y**5 wrt y?
77160*y**2 - 72*y + 12
Let w(i) be the third derivative of 0 + 4/3*i**3 + 11/5*i**5 + 1/6*i**4 - 12*i**2 + 0*i. Find the second derivative of w(y) wrt y.
264
Let q(k) = 1553*k**2 - 9*k + 18149. Let v(u) = -778*u**2 + 4*u - 9075. Let i(p) = 4*q(p) + 9*v(p). What is the first derivative of i(s) wrt s?
-1580*s
Let b(a) = -a**2 - 34*a + 92. Let x be b(-24). Differentiate -68*g + 117*g - g**4 + x + 0*g**4 + 72*g with respect to g.
-4*g**3 + 121
Let v = 8 - 3. Let k be 9/2 - (-3)/(-12)*-2. What is the second derivative of 863*f**4 - 863*f**4 + f**3 + 8*f**k - 2*f**v + 45*f wrt f?
120*f**3 + 6*f
Suppose -2*m - 2*b = 6, 3 = -2*b - 3. Suppose -13 = -4*q - y, -4*q + 3 + 0 = -y. What is the second derivative of -c**2 + 2*c + m*c**2 - c**q wrt c?
-4
Let b = -5473 - -5477. Let k be (-1)/2 + (-9)/(-2). Find the third derivative of 29*q**2 + 2 - 2 + 40*q**b - 13*q**k wrt q.
648*q
Let x(c) be the third derivative of 1003*c**5/15 + 1379*c**4/4 - 4*c**2 + 84*c + 5. Find the second derivative of x(z) wrt z.
8024
What is the first derivative of -855*v**4 - 3467 - 4*v**2 - 11 - 1328 wrt v?
-3420*v**3 - 8*v
Suppose -o - 105 = 2*c - 7*c, -c = -4*o - 21. What is the third derivative of -n**5 - n**5 + 53*n**2 + 0*n**5 - 2*n**4 - c*n**2 wrt n?
-120*n**2 - 48*n
Suppose -f = -2*x - 56, -4*x = 3*f - 9*x - 166. Find the first derivative of -50 + 4*n - 59 - 5*n + f wrt n.
-1
Let v = -912/5 + 5479/30. Let q(n) be the third derivative of 7/12*n**4 + 0 + 0*n**3 + 12*n**2 + 0*n + v*n**5. Find the second derivative of q(x) wrt x.
28
Suppose 3*s - 26 = -2*m, 2*m + 2*s - 49 = -m. Find the first derivative of -211*f - m + 304*f - 148*f wrt f.
-55
Let o(z) = z**2 + z - 8. Let y be o(0). Let i be (-12)/8*y/3. What is the first derivative of 5 - 18 + 8*v**i + 3 wrt v?
32*v**3
Let f(z) be the first derivative of 0*z**2 + 1/5*z**5 + 70/3*z**3 - 19/2*z**4 + 0*z + 41. What is the third derivative of f(u) wrt u?
24*u - 228
What is the third derivative of 2*w**3 - 3685*w - 2*w**3 + 1265*w**2 + 3687*w + 2120*w**4 wrt w?
50880*w
Let g(a) be the second derivative of 3*a**4 + 2475*a**2/2 - 12*a + 22. What is the derivative of g(y) wrt y?
72*y
Suppose 3*q - 2 = 5*q. Let w be q + -2 - 0 - -10. Find the first derivative of 4 + 16*u**3 + 4 - w wrt u.
48*u**2
Let q(w) be the first derivative of 5*w**5/4 + 101*w**3/6 - 5*w**2/2 - 17. Let y(k) be the second derivative of q(k). Differentiate y(s) with respect to s.
150*s
Let u(c) = 14*c**4 - 5*c**3 + 1057*c**2 + 16*c + 43. Let o(g) = 3*g**4 - g**3 - 2*g**2. Let f(v) = -5*o(v) + u(v). Find the second derivative of f(i) wrt i.
-12*i**2 + 2134
Let s(h) be the third derivative of -9*h**8/56 + 11*h**7/210 + h**6/60 - h**4/8 + 46*h**3/3 + 3*h**2 + 251. Find the second derivative of s(q) wrt q.
-1080*q**3 + 132*q**2 + 12*q
What is the second derivative of 29*b - 69*b**3 + 270*b + 176*b - 1548*b**3 wrt b?
-9702*b
Let t(l) = 5*l + 4*l**3 - 3*l**3 - 10 - 7*l**2 - 3*l. Let v be t(7). Find the third derivative of -12*p**2 + 19*p**2 - p**2 - 3*p**v + 14*p**2 wrt p.
-72*p
Let w(s) = 4787*s**2 + 2167*s - 24. Let u(y) = 4789*y**2 + 2167*y - 18. Let t(o) = -4*u(o) + 3*w(o). Find the second derivative of t(l) wrt l.
-9590
Let j(o) be the third derivative of -4*o**7/35 - o**6/60 + 11*o**5/20 + 13*o**4/6 + o**3/3 + 1888*o**2 + 3*o. Find the second derivative of j(r) wrt r.
-288*r**2 - 12*r + 66
Let o = -16139/2 - -8072. Let a(y) be the second derivative of 0 - 22*y - o*y**3 + 7/2*y**2. What is the derivative of a(f) wrt f?
-15
Let d be 74314/1241 - 2/(-17). What is the second derivative of 118*q - d*q**3 - 10*q**3 + 50*q + 14*q**3 wrt q?
-