156*r + 1
Suppose 40 = 2*v + 42. Let n(x) = 64*x**2 - 34*x + 3. Let o(c) = -2*c + 1. Let k(j) = v*n(j) + 3*o(j). What is the second derivative of k(u) wrt u?
-128
Let c(j) be the second derivative of -23*j**6/10 + j**5/20 + 5*j**3/6 - 89*j**2/2 + 4900*j. What is the second derivative of c(q) wrt q?
-828*q**2 + 6*q
Let r(p) = -1731*p**3 + 18*p**2 + 5*p - 3085. Let i(o) = 866*o**3 - 10*o**2 - 3*o + 1543. Let g(q) = 9*i(q) + 5*r(q). Differentiate g(w) wrt w.
-2583*w**2 - 2
Let h(a) be the first derivative of 7/2*a**2 + 0*a**3 + 207*a - 111 - 3/2*a**4. Differentiate h(f) with respect to f.
-18*f**2 + 7
Let d(x) = -x**2 - 8*x - 1. Let n(q) = 549*q**2 - 34*q - 38. Let l(b) = 4*d(b) - n(b). What is the second derivative of l(k) wrt k?
-1106
Let f(b) be the first derivative of 2949*b**2/2 - 9487*b - 10138. Differentiate f(k) wrt k.
2949
Differentiate -44 - 10*d**3 - 1886*d**2 + 48*d + 1886*d**2 with respect to d.
-30*d**2 + 48
Find the second derivative of 4725*z**3 + 836*z + 1745*z - 2092*z**3 wrt z.
15798*z
Let m(w) = 34 - 6 - 28*w**2 + 15 - 3*w. Let b(d) = -168*d**2 - 17*d + 259. Let x(u) = 6*b(u) - 34*m(u). What is the derivative of x(a) wrt a?
-112*a
Let x be (12/18)/(-2*2/(-12)). Suppose 23 + x = 5*v, -4*g + 45 = 5*v. Find the third derivative of -15*u**5 - 18*u + 38*u**g + 18*u + 14*u**2 wrt u.
1380*u**2
Let f(r) be the third derivative of 283*r**6/120 - 1411*r**3/6 - 17*r**2 + 1. What is the derivative of f(u) wrt u?
849*u**2
Suppose 6 = 4*f - 10. Suppose 386 = 24*w + 2. What is the derivative of -f*m + 4*m + 6*m - w + m wrt m?
7
Suppose 5*j - 26 = 4*u, -35*u = -j - 33*u + 10. Differentiate -2*s + 2*s + 2449*s**j + 78 - 2316*s**2 wrt s.
266*s
Suppose q - 5 = 0, q + 30 = -2*t - 3*t. Let m be -15*(-2 - -3)*t/21. Find the second derivative of 3*s - 64*s**5 + 127*s**m - 64*s**5 wrt s.
-20*s**3
Suppose -66 = -38*d + 41*d. Let v = d - -26. Find the third derivative of 13*q**2 + 5*q**2 + 395*q**v - 806*q**4 + 395*q**4 wrt q.
-384*q
Let d(a) be the second derivative of -1153*a**3/6 + 351*a**2/2 + 42*a + 2. What is the derivative of d(b) wrt b?
-1153
Suppose 0 = -44*i + 48*i - 8. Suppose i*o - 23 = 263. What is the second derivative of o*b - 37*b - 5*b**4 - 69*b wrt b?
-60*b**2
Let x(f) be the second derivative of -1/6*f**7 + 0*f**6 + 23/4*f**4 - 24 + 0*f**5 - 2*f + 0*f**3 + 0*f**2. Find the third derivative of x(s) wrt s.
-420*s**2
Let w(u) be the first derivative of 0*u**4 + 0*u**3 + 10*u + 7*u**2 - 4/5*u**5 - 74. Differentiate w(n) with respect to n.
-16*n**3 + 14
What is the first derivative of 52*z**3 - 786 - 4*z**2 + 137*z**3 + 72*z**3 - 37*z**3 wrt z?
672*z**2 - 8*z
Let m(a) be the first derivative of 5/2*a**2 + 0*a**4 - 3/5*a**5 - 68*a - 99 + 0*a**3. Differentiate m(y) wrt y.
-12*y**3 + 5
Let o(f) = f**2 + 32*f + 63. Let b be o(-2). Find the second derivative of 940*k - 35*k**3 + 164*k**b - 991*k - 1 wrt k.
774*k
Find the second derivative of 2759*p**2 + 806*p - 1213*p + 1088*p wrt p.
5518
Let k(p) = -2*p - 2. Let b(y) = -431*y - 257. Let o(s) = -3*b(s) + 3*k(s). Differentiate o(c) with respect to c.
1287
Let a be 5 - 1*((3 - 2) + 0). What is the third derivative of -u**3 + 609*u**4 + 16*u**2 - 604*u**a - 3*u**3 wrt u?
120*u - 24
Let s(r) be the first derivative of 117*r**7 + r**6/3 - 901*r**3/3 + r**2/2 + 2158. Find the third derivative of s(q) wrt q.
98280*q**3 + 120*q**2
Let r(h) be the first derivative of -247*h**7/7 - 10*h**3/3 - 13*h**2/2 + 6*h - 10828. Find the third derivative of r(a) wrt a.
-29640*a**3
Let s be 1*4 - ((-3 - 0) + -98). Suppose -6*g = 4*r - g - s, 0 = -4*g + 20. Find the third derivative of 5*n**5 + r*n**2 - 2*n**4 + 2*n**4 - 28*n**5 wrt n.
-1380*n**2
Let x(g) be the first derivative of -219*g**7/7 + 3*g**4/2 - 475*g**3 + 945. What is the third derivative of x(a) wrt a?
-26280*a**3 + 36
Suppose x - 1153 = -3*g, -10*x + 11*x - 1537 = -4*g. Differentiate 389*b**2 + 120*b**3 + 386*b**2 - 16 + g*b**2 - 1159*b**2 wrt b.
360*b**2
Let g(l) be the second derivative of 1046*l**6/15 - l**4/6 + 769*l**3/2 - 4*l - 84. What is the second derivative of g(s) wrt s?
25104*s**2 - 4
Let l(c) be the third derivative of -1517*c**6/20 - 2121*c**3/2 + 1119*c**2 - 2*c - 2. What is the first derivative of l(h) wrt h?
-27306*h**2
Suppose -57*r + 5 = -56*r. Suppose -y + 5*y = l + 16, 0 = r*l - 2*y - 10. Differentiate -1 + l - 1 + 5*o**2 with respect to o.
10*o
Let v(r) = 3*r**2 + 12. Let z be v(-3). What is the second derivative of z*y**2 + 18*y**2 - 14*y - 10*y - 30*y - 6*y wrt y?
114
Let r(y) = -4370*y**3 - 7809*y**2 + 3. Let s(a) = -28*a**3 - a**2 - 1. Let v(g) = -r(g) - 3*s(g). What is the third derivative of v(h) wrt h?
26724
Let t(u) be the first derivative of -9*u + 4*u**3 - u**3 + 164 - 14*u**2 + 2*u - 4*u**3 - 169*u. Differentiate t(l) wrt l.
-6*l - 28
Let c(r) be the first derivative of 15*r - 26 + 13/3*r**3 + 39/2*r**2. Let b(m) be the first derivative of c(m). Differentiate b(g) with respect to g.
26
Let m(z) be the second derivative of -1156*z**7/21 + z**4/2 + z**3/6 + 31*z**2 - 56*z - 8. What is the third derivative of m(f) wrt f?
-138720*f**2
Let g(n) = -2102*n**3 - 28*n**2 - n - 47. Let r(u) = -u**3 + 16*u**2 - 2*u. Let c(f) = g(f) + r(f). Find the third derivative of c(m) wrt m.
-12618
Let b(c) be the second derivative of 5781*c**8/56 + 377*c**4/6 - c - 2606. Find the third derivative of b(s) wrt s.
693720*s**3
Let f(x) be the first derivative of 82*x**6 - 564*x**2 + 887. What is the second derivative of f(h) wrt h?
9840*h**3
Let a(j) be the second derivative of -9*j**4/4 + j**3/6 + 732*j**2 - 5*j - 123. What is the first derivative of a(p) wrt p?
-54*p + 1
What is the third derivative of -1278*l**2 + 2061*l**3 + 3240*l**2 + 5*l**4 + l**5 - 2029*l**3 + 4234*l**2 wrt l?
60*l**2 + 120*l + 192
What is the third derivative of 2249*p**2 + 117973*p**5 + 117963*p**5 - 235936*p**5 + 7184*p**6 wrt p?
862080*p**3
Let s(d) be the third derivative of -137*d**6/30 + 11*d**5/10 - 4*d**3/3 - 1319*d**2. Find the third derivative of s(a) wrt a.
-3288
Suppose 147 = 8*h - 5*h. What is the third derivative of -5 + 49*c - h*c - 2*c**2 + 0*c**2 + 53*c**4 wrt c?
1272*c
What is the derivative of -61*j - 198*j + 86 + 1244*j + 443 wrt j?
985
What is the third derivative of 830*y**2 - 829*y**2 + 8*y**5 - 1521*y + 175*y**3 + 167*y wrt y?
480*y**2 + 1050
Suppose 33 = 7*s + 5. Suppose 2*a - 2 = 5*d - 54, -4*a = -s*d + 32. Differentiate 23*k**2 - 13 - k**3 - d*k**2 - 11*k**2 wrt k.
-3*k**2
Suppose 230 = 11*m - 56. Suppose 29 = 5*k - m. What is the third derivative of -2 - 3*v**4 + k*v**2 + 2 + 20*v**4 wrt v?
408*v
What is the second derivative of -57*o**2 - 19*o**3 + 2 + 57*o**2 + 971*o**4 + 19*o**3 + 16*o wrt o?
11652*o**2
Let b(a) be the first derivative of -554*a**5/5 + a**4/2 - 380*a**3/3 + 1138. What is the third derivative of b(r) wrt r?
-13296*r + 12
Suppose 2*s = 4*i + 8, -i - 4*i = -5*s + 15. Find the third derivative of -39*g**s - 9*g**3 - 33*g**2 + 52*g**3 - 3*g + 64*g**2 wrt g.
258
Let q be (4/(-5))/((-15)/((-375)/(-10))). Find the third derivative of -75*b**q + 25*b**3 + b + 291 - b - 291 wrt b.
150
Let j be 3 + 0 + -6 - -3. Suppose -3*q + 7 - 1 = j. What is the third derivative of 2*k**2 + 19*k**3 - 4*k**2 - 2*k**3 + 4*k**q wrt k?
102
Let i(o) = -1245*o**2 + 10*o + 1757. Let k(b) = -b**2 - 5*b. Let q(f) = i(f) + 2*k(f). Find the first derivative of q(h) wrt h.
-2494*h
Suppose 2*g + 12*g - 28 = 0. Differentiate -g*x + 24*x**3 - 17*x**3 - 161 + 39 - 73 with respect to x.
21*x**2 - 2
What is the first derivative of 29*n**2 + 106 - 261 + 25*n**2 + 107*n**4 - 85*n**2 + 34*n**2 wrt n?
428*n**3 + 6*n
Let n(k) be the third derivative of -1151*k**7/210 + 787*k**3/6 + 13*k**2 + 11. What is the first derivative of n(h) wrt h?
-4604*h**3
Let i be (4/1)/(10*(-18)/360) - -10. Let h(d) be the second derivative of 0*d**3 + 0 - 19/2*d**2 + i*d - 5/4*d**4. Differentiate h(k) with respect to k.
-30*k
Find the second derivative of -4*t**4 - 5*t - 2096*t**5 - 35*t**3 + 2104*t**5 - 49 + 4*t**4 + 33*t**3 - 97*t**2 wrt t.
160*t**3 - 12*t - 194
Let m(v) = v**4 - v**2 - 1. Let q = -16 - -17. Let a(t) = 9*t**4 - 8*t**2 - 130. Let o(y) = q*a(y) - 5*m(y). What is the derivative of o(x) wrt x?
16*x**3 - 6*x
Let b = 76 + -72. Suppose -d + 47 = 5*m, 2*m - 19 - b = d. What 