4*n**3
Suppose 3*s + 2*g = -2 + 31, -4*s - 2*g = -40. What is the second derivative of 92*i**3 + 71 - 193*i**3 - 2*i + 96*i**3 - s*i**5 wrt i?
-220*i**3 - 30*i
Let p(d) be the first derivative of 84*d + 0*d**3 + 104 + 0*d**2 + 0*d**4 - 51/5*d**5. What is the first derivative of p(j) wrt j?
-204*j**3
Let n(m) = -7*m**2 + 7 + 29*m - 9 - 22*m - m**3. Let r be n(-8). What is the third derivative of -7*c**2 - c**6 + 3*c**r - c**6 + 2*c**6 wrt c?
360*c**3
Suppose 28*z - 16 = 27*z. Suppose -2*a + 3*y + y + 26 = 0, -a + z = -y. What is the second derivative of -4*x - 11*x + a*x**3 + 29*x wrt x?
114*x
Find the second derivative of 1011*d**5 + 3 - 653*d + 5262*d**5 + 2238*d**5 + 0 + 3980*d**5 wrt d.
249820*d**3
Find the second derivative of 113*v + 355 - 40*v - 3918*v**2 + 358 - 717 wrt v.
-7836
Let x = -147 - -108. Let y = x + 91. Find the second derivative of y*p - 24*p + 10*p**3 - 27*p - 2*p**2 - 18 wrt p.
60*p - 4
Let t(f) be the first derivative of 17*f**2 + 0*f**3 + 7 + 0*f - 5/2*f**6 + 1/5*f**5 + 0*f**4. Find the second derivative of t(i) wrt i.
-300*i**3 + 12*i**2
Let j(v) = 2679*v**3 - 676*v**2 + v - 5. Let w(p) = -4017*p**3 + 1014*p**2 - p + 7. Let g(a) = -7*j(a) - 5*w(a). Find the third derivative of g(h) wrt h.
7992
Let q be 6/(-14) + 408/168. Find the second derivative of -13*b**5 + 0*b + 3*b - q - 213*b**2 + 213*b**2 wrt b.
-260*b**3
Let o(n) be the second derivative of n**8/56 - 66*n**6/5 + 2093*n**4/12 + 2*n - 1555. What is the third derivative of o(j) wrt j?
120*j**3 - 9504*j
What is the second derivative of -1024*z**2 + 1224*z**2 + 1220*z**2 + 1973*z wrt z?
2840
Let z(r) be the second derivative of 1712*r**6/15 - 1357*r**2/2 - 2*r + 962. Differentiate z(y) with respect to y.
13696*y**3
Let w(o) be the first derivative of 1193*o**5 - 1745*o**3/3 - 3*o**2/2 + 4522. Find the third derivative of w(q) wrt q.
143160*q
Let o(x) = x**3 + 23*x**2 - 108*x + 7. Let s be o(-27). What is the third derivative of -26*q**2 + 26*q**3 + 7*q - 99*q**2 - s*q wrt q?
156
Let t(b) = -15*b - 35. Let w be t(-3). Let s be 98/w - 5/(-25). What is the third derivative of -35*m**6 - 9*m + 19*m + 34*m**2 - s*m wrt m?
-4200*m**3
What is the second derivative of -2*y - 21057*y**4 - 26*y**2 - 56 + 15*y**5 + 21057*y**4 wrt y?
300*y**3 - 52
Let t(h) be the first derivative of -2*h**2 - 7*h - 129. Let i(z) = -4*z - 16 - 4*z + 1. Let x(n) = -4*i(n) + 9*t(n). Find the first derivative of x(q) wrt q.
-4
Suppose 0 = 5*b - 0*c + 4*c - 210, -b + 48 = 2*c. What is the third derivative of 114*f**3 + 22*f**3 - b*f**2 + 59*f**3 - 41*f**2 wrt f?
1170
Let l(b) = -b**2 - 12*b + 21. Let u be l(-11). Suppose 0 = -4*x + u - 8. Find the second derivative of -301*o + x*o**3 + 13*o**3 + 17*o**3 + 325*o wrt o.
216*o
Let w(o) be the second derivative of 5*o**7/42 + 21*o**4/4 - 281*o**3/2 - 1052*o. What is the second derivative of w(x) wrt x?
100*x**3 + 126
What is the third derivative of -12367*k**5 + 0*k**2 + 12521*k**5 - 2 + 3*k**2 - 5*k**4 - 30 wrt k?
9240*k**2 - 120*k
Let t(a) be the second derivative of 64 + 0*a**5 + 0*a**3 + 0*a**4 - 271/30*a**6 - a - 89*a**2. What is the first derivative of t(z) wrt z?
-1084*z**3
What is the second derivative of 87*v**4 + 2*v**3 - 1404*v + 20*v**3 - 3255*v - 76*v**4 wrt v?
132*v**2 + 132*v
Let s(w) be the first derivative of 172*w + 17*w**5 + 35 - 181*w + 8. Differentiate s(y) with respect to y.
340*y**3
Let u(f) = 4*f + 74. Let s be u(-8). What is the first derivative of -33 + 4*b**3 - s + 64 + 12*b**4 wrt b?
48*b**3 + 12*b**2
Let z = -132 + 134. What is the third derivative of -d**2 + 17*d**z - 69*d**6 + 28*d**2 + 4*d**6 wrt d?
-7800*d**3
Let g(w) be the first derivative of -5*w**7/56 + 37*w**6/360 - 15*w**3 - 46. Let n(o) be the third derivative of g(o). Find the third derivative of n(t) wrt t.
-450
Let c(k) be the second derivative of -41*k**4/6 + 657*k**3/2 - 1051*k. Find the second derivative of c(g) wrt g.
-164
Let h(l) = 3555*l**4 + 14*l**2 + 389. Let c(u) = 2370*u**4 + 10*u**2 + 259. Let d(t) = 7*c(t) - 5*h(t). Find the first derivative of d(w) wrt w.
-4740*w**3
Suppose -2*u - 5 = 15. Let y be u/(-3)*(-30)/(-25). What is the derivative of z**3 + 22 + 5*z**y + 16*z**4 - z**3 wrt z?
84*z**3
Let q be (4/(-16))/(30/16 + -2). Differentiate 53*i**2 - 57*i**2 - 4*i**2 + 61*i**q + 35 wrt i.
106*i
Let i(a) = 6*a**4 + 12*a**3 + 6*a**2 + 93*a + 307. Let r(h) = -4*h**4 - 10*h**3 - 5*h**2 - 92*h - 306. Let l(z) = -5*i(z) - 6*r(z). Differentiate l(d) wrt d.
-24*d**3 + 87
What is the second derivative of -7*z**3 + 2 + 103*z**2 - 301*z + 9*z**3 + 1147*z - 4351*z wrt z?
12*z + 206
Let u be (16/(-40))/((-2)/20). Find the first derivative of -2*d**3 - 102*d**4 + 32*d**4 + 212*d**u - 48 wrt d.
568*d**3 - 6*d**2
Let m(k) be the second derivative of -793*k**4/12 - 7*k**3/6 - 2037*k**2/2 + 372*k - 4. Find the first derivative of m(w) wrt w.
-1586*w - 7
Let b(r) = -93*r**4 - 4*r + 9. Let g = -243 + 239. Let u(w) = 185*w**4 + 7*w - 18. Let s(d) = g*u(d) - 7*b(d). Differentiate s(x) wrt x.
-356*x**3
What is the second derivative of 489 - 1145 - 219 + 4829*v**3 + v wrt v?
28974*v
What is the second derivative of 1540*y + 9957 - 9957 - 7*y**3 + 121*y**2 - 6*y**2 + 58*y**2 wrt y?
-42*y + 346
Suppose 18 = h + 58. Let k be (-117)/(-5) - (-16)/h. What is the second derivative of 66*d**3 - 22*d**3 - k*d**3 - 23*d wrt d?
126*d
Let s be 9/5 + 0 + 1/5. Let v be (-7)/(7/s) + 10/2. Find the second derivative of 15*u**4 - u**v + 85*u + u**3 - 97*u wrt u.
180*u**2
Let s = 5 + -1. Let i = -2508 - -2510. Find the third derivative of 17*o**i + 112*o**s - 43*o**2 - 149*o**4 wrt o.
-888*o
What is the second derivative of 15*z**2 + 3*z - 678*z**5 + 54*z**2 - 69*z**2 - 351 wrt z?
-13560*z**3
Let v(a) = -16*a**2 + 10*a + 17. Let l be v(-9). Let y = 4511 + l. Find the first derivative of y*p**3 + 7 + 5 + 9*p**4 - 3142*p**3 wrt p.
36*p**3
Let c(q) be the first derivative of 0*q + 16 - 59/3*q**3 + 33/2*q**2. Find the second derivative of c(t) wrt t.
-118
Let p = 6 - 3. Find the second derivative of 0*g**p + 4*g**3 + 522*g - 2*g**3 - 411*g + 88*g**5 wrt g.
1760*g**3 + 12*g
Let s be 1*-1*(210 - 210). Let r(w) be the second derivative of s + 0*w**3 + 25*w + 5/6*w**4 - 11/10*w**5 + 0*w**2. What is the third derivative of r(t) wrt t?
-132
Let z(i) be the second derivative of 145*i**7/7 - 95*i**3 + 3*i**2/2 - 1381*i. Find the second derivative of z(v) wrt v.
17400*v**3
Suppose -6*h = -2*h - 124. Let b = -23 + h. What is the derivative of -3*o**2 - b - 6*o**2 - 4*o**2 wrt o?
-26*o
Let p(i) be the second derivative of -404*i**6/15 + 89*i**3/6 + 5*i**2/2 + 1299*i. What is the second derivative of p(g) wrt g?
-9696*g**2
Let y(b) = -b**3 - 5*b**2 + 6*b + 50. Let i be y(-8). Differentiate -i + 47 - 69 + 151*t**3 - 12 - 51 wrt t.
453*t**2
Find the third derivative of -1 - 96*f - 2*f**4 - 2809*f**3 + f**5 - 7*f**2 + 2811*f**3 - 8*f**5 wrt f.
-420*f**2 - 48*f + 12
Find the second derivative of 9 - 17 - 418*b**2 - 802*b**2 - 396*b**2 + 6*b - 10 wrt b.
-3232
Let y be (28/(-6))/((-8)/(-12)). Let r be 0/(-4 - (y + 4)). What is the third derivative of -2*v**2 + 65*v + r*v**3 - 65*v + 9*v**3 wrt v?
54
Suppose 5*r - 27*i - 266 = -23*i, -4*r = -5*i - 220. Find the first derivative of -8 + r - 24 + 97 + 24*n**2 wrt n.
48*n
What is the third derivative of -7*t**2 - 30834*t + 31432*t - 370*t**3 + 5*t**2 wrt t?
-2220
Let m be -3 - (-552)/(-18)*-3. Find the first derivative of -f - 95*f**3 + 0*f + m*f**3 + 82 wrt f.
-18*f**2 - 1
Let j be 2/(4/(-106))*(3 - 4). Let g = j + -44. What is the second derivative of 10*k - 4*k - g*k**3 - 3*k + 10*k wrt k?
-54*k
Suppose -348 = -23*m + 17*m. Let z = m - 55. What is the derivative of -12 - 3*y - 5*y - 5*y + z*y wrt y?
-10
Let u(s) = -4078*s - 6957. Let v(a) = 678*a + 1159. Let p(c) = 2*u(c) + 13*v(c). What is the derivative of p(r) wrt r?
658
Let i be (1 - 7)/(3 - (4 - -1)). Suppose 0 = i*d + 2*t - 6, 2*d - 3*t + 2*t = 4. What is the second derivative of -6*o - o**2 + 21*o - 3*o**2 - 10*o**d wrt o?
-28
Let y(t) be the third derivative of 197*t**6/120 + t**5/30 - 2237*t**3/6 - 1809*t**2. Find the first derivative of y(s) wrt s.
591*s**2 + 4*s
Suppose -5*a - k = -a - 18, 3*a + 2*k = 11. What is the derivative of -65*x**3 - a*x**3 - 89*x**3 + 40*x**3 - 114*x**3 + 114 wrt x?
-699