derivative of -c + a*c**4 + 5*c**4 - c**4 - 12*c wrt c.
192*c**2
Let v(s) be the second derivative of -133*s**5/20 - 114*s**2 - s + 351. Differentiate v(p) wrt p.
-399*p**2
Suppose 0 = 20*s - 122 + 42. What is the third derivative of 12*l**2 - 37*l**2 - 1636*l + 126*l**s + 1635*l wrt l?
3024*l
Let j(g) be the first derivative of 5376*g**5/5 - 2*g**3/3 - 3655*g**2/2 - 1646. Find the third derivative of j(r) wrt r.
129024*r
Let h(y) = -y**2 - 20*y + 48. Let x be h(-22). Find the second derivative of 67*i**3 - 127*i**3 + 60*i**3 - 81*i**x + 9*i + 123*i wrt i.
-972*i**2
Let v(u) = -u**2 + u + 15. Let f(w) = -376*w**3 + 1686*w**2 + 5*w + 75. Let b(q) = -f(q) + 5*v(q). What is the third derivative of b(c) wrt c?
2256
Let s(y) be the first derivative of -1879*y**3/3 + 608*y - 3710. Differentiate s(h) with respect to h.
-3758*h
Let l(t) = 3*t**2 - 29*t - 37. Let z be l(11). Find the second derivative of -1 + 158*s**2 - 188*s**2 - z*s + 2*s wrt s.
-60
What is the first derivative of -398*z + 99*z**2 + 1570 + 12*z**2 + 398*z wrt z?
222*z
Let w(a) be the first derivative of -342*a**5 + 1594*a + 218. What is the first derivative of w(l) wrt l?
-6840*l**3
What is the second derivative of -1177*p**2 + 168*p - 47*p + 10 - 64*p + 9*p**2 wrt p?
-2336
Let w = -132 - -135. What is the second derivative of 3*x**3 + 10*x**3 + x**w + 193*x wrt x?
84*x
Let g(v) = 698*v - 556. Let t(b) = -283 + 62*b + 175*b + 98 + 38*b - 42*b. Let w(m) = 4*g(m) - 11*t(m). What is the first derivative of w(p) wrt p?
229
Let x(m) = -1 + 1 + 235*m**2 + 94*m - 284*m**2. Let p(j) = 49*j**2 - 93*j. Let o(d) = 3*p(d) + 4*x(d). What is the second derivative of o(r) wrt r?
-98
Let n(t) = -15*t - 9. Let x be (-2)/((-3)/9 - -1). Let r be n(x). What is the derivative of r*i**2 - 11*i - 14*i + 25*i - 3 wrt i?
72*i
Let b(l) = 2503*l**3 - 13*l**2 + 41*l - 30. Let r(u) = 1252*u**3 - 6*u**2 + 20*u - 15. Let v(a) = 6*b(a) - 13*r(a). What is the second derivative of v(x) wrt x?
-7548*x
Let p be 14 + 0 + 6 + -3. Differentiate 20 + 34*o + p - 53 + 15 with respect to o.
34
Suppose -3*p - 16 = -5*q, -5*p + 5*q + 1 - 11 = 0. Suppose -8*k = -29 - p. Differentiate 13*d**k - 15*d**4 - 75 + 57 - 26*d**4 wrt d.
-112*d**3
Let m(o) be the third derivative of -13*o**5/60 + o**4 - 458*o**3/3 - 1092*o**2. Find the first derivative of m(d) wrt d.
-26*d + 24
Let g be (2/6)/(4/(-12)) - -4. Differentiate -27*v**3 + 10*v**g + 3*v**2 - 60 + 10*v**3 - v**2 wrt v.
-21*v**2 + 4*v
Suppose 4*i - 23 = -3*l, 5*l - 61 = -3*i - 8. What is the third derivative of 6 + 2*h**6 + l*h**2 - 51*h**5 - 64*h**2 + 0*h**6 - 5 - 5 wrt h?
240*h**3 - 3060*h**2
Let s = -12277 - -12307. Let h(b) be the first derivative of 0*b + 0*b**4 + 0*b**2 - 13/3*b**3 - 17/5*b**5 - s. Find the third derivative of h(j) wrt j.
-408*j
Let u(k) = k**2 + 33*k + 64. Let z be u(-2). Differentiate -2729*p**z + 2729*p**2 + 161 + 9*p**3 + 12 + 37*p**3 with respect to p.
138*p**2
Let y be -2 - 0 - (-9 - 1) - 2. What is the third derivative of -355*w**y + 155*w**2 - 5 + 5 + 314*w**6 wrt w?
-4920*w**3
Find the second derivative of 112*k - 358*k - 830*k**2 + 128*k + 134*k wrt k.
-1660
Let w(m) = 182*m**3 + 9*m + 1. Let c(u) = 60*u**3 + 3*u. Let d = 146 + -135. Let x(j) = d*c(j) - 4*w(j). Find the second derivative of x(v) wrt v.
-408*v
What is the second derivative of 113*u**4 + 186*u + 8*u**4 + 10504 - 10502 - 5*u**2 - 884*u wrt u?
1452*u**2 - 10
Let w(c) be the second derivative of 2621*c**5/20 - 501*c**2 + 2301*c. What is the derivative of w(y) wrt y?
7863*y**2
Suppose 19*m - 84402 = -8*m. What is the first derivative of 6133 - 3097 - m + 135*j wrt j?
135
Let u(w) = -13*w - 16. Let t be (-3 - 4) + 0*3/(-6). Let s be u(t). Find the second derivative of -16*c + 2*c - 89*c**5 + s*c**5 wrt c.
-280*c**3
Let r(m) = -3*m + 21. Let a be r(6). Suppose 0*i = -a*i + 12. Differentiate 0*d + i*d + 7*d + 10*d - 14 with respect to d.
21
Let s(u) be the third derivative of -29*u**8/240 + 5*u**4/4 + 121*u**3/6 + 120*u**2. Let d(x) be the first derivative of s(x). Differentiate d(n) wrt n.
-812*n**3
Suppose 0 = 9*y - 16*y + 805. Suppose 0 = 4*m - 1 - y. Differentiate -15 - 6*d + 0*d - m*d wrt d.
-35
Suppose 0*s = -4*s - g - 19, -3*s = 2*g + 8. Let d(u) = -53*u + 38. Let a be d(s). Find the second derivative of -4*v - 5 + 321*v**4 - a*v**4 + 5 wrt v.
-420*v**2
Let w(p) = p**2 - p + 36. Let s be w(0). Let q be (36/(-72))/(4/(-8) - 63/(-132)). Differentiate -51*x**2 + 19 - 36*x + s*x + q with respect to x.
-102*x
Let o(t) be the third derivative of -19*t**6/5 + 716*t**3/3 - 131*t**2. What is the first derivative of o(g) wrt g?
-1368*g**2
Let z(v) = 4*v**3 + 343*v**2 - 3*v - 1087. Let y(m) = 5*m**3 + 343*m**2 - 4*m - 1087. Let q(x) = -3*y(x) + 4*z(x). What is the first derivative of q(g) wrt g?
3*g**2 + 686*g
Suppose 0 = 4*k - 43 - 149. Let m = k - 46. What is the derivative of -8*j**4 - 7*j**m - 19 + 25*j**2 - 18*j**2 wrt j?
-32*j**3
Let f(l) be the second derivative of -2*l**8/105 - 7*l**4/3 - 5*l**3/3 + l**2/2 - 4*l + 10. Let d(q) be the second derivative of f(q). Differentiate d(x) wrt x.
-128*x**3
Suppose 7*x - 245 = 12*x. Let t = x + 51. Differentiate -p**4 + 559*p**2 - 559*p**t + 24 with respect to p.
-4*p**3
Let f(m) be the second derivative of 116*m**7/21 + 11*m**4/12 - 1082*m**3 + m**2/2 + 1823*m - 1. Find the second derivative of f(x) wrt x.
4640*x**3 + 22
Let m = 22 - 20. What is the second derivative of 22 + l - 1 + 2*l**m - 11*l**5 + 66*l**5 wrt l?
1100*l**3 + 4
Let m(j) be the third derivative of -199*j**8/84 + j**6/60 - 3*j**5 + 5*j**4/24 + 2*j**2 + 885. What is the third derivative of m(z) wrt z?
-47760*z**2 + 12
Let h = -8583/2 - -4292. Let c(j) be the first derivative of -17/4*j**4 + 0*j**3 + h*j**2 + 0*j + 15. Find the second derivative of c(b) wrt b.
-102*b
Let k(t) be the third derivative of 0*t + 21*t**2 + 5/6*t**3 + 2 + 0*t**5 - 41/120*t**6 - 1/6*t**4. Find the second derivative of k(n) wrt n.
-246*n
Suppose -2*j + 3*r + 177 = j, 5*j - 4*r = 299. What is the second derivative of -91*k + 212*k + j*k**2 - 37*k wrt k?
126
Let p(y) = 923*y**2 - 204*y - 24. Let s(h) = 923*h**2 - 204*h - 18. Let k(z) = 3*p(z) - 4*s(z). What is the second derivative of k(w) wrt w?
-1846
Let u(f) = 44*f**2 + 4*f + 1. Let o = 14 + -15. Let b be u(o). What is the first derivative of -2*t**3 - t - 35 + b + t wrt t?
-6*t**2
Let b(k) be the second derivative of 3425*k**4/12 - 149*k**3/2 - k**2 + 27*k - 5. Find the second derivative of b(t) wrt t.
6850
Let y(r) = 5*r**3 + r**2 + r - 2. Let b be (-4*4/(-16))/1. Let q be y(b). What is the second derivative of -2*h - 5*h + 9*h**q + 0*h**5 + 0*h**5 wrt h?
180*h**3
Let k(m) be the second derivative of 215*m**4/6 + 569*m**3/3 - 3*m - 537. Find the second derivative of k(x) wrt x.
860
Suppose -8*w - 72 = 4*w. Let b = w - -13. What is the third derivative of 18*g**3 + b*g**2 + 788*g - 788*g wrt g?
108
Let c = -53197 - -92026. What is the third derivative of -9*w + 38829*w**3 - w**2 - 101*w**5 - c*w**3 wrt w?
-6060*w**2
Let w(c) be the third derivative of -c**7/42 + 17*c**5/15 - 1519*c**4/24 - 174*c**2. What is the second derivative of w(x) wrt x?
-60*x**2 + 136
Let h = -8546 - -8546. Let b(x) be the first derivative of 0*x - 17*x**2 + 0*x**4 + 0*x**5 - 13/2*x**6 + h*x**3 + 4. Find the second derivative of b(d) wrt d.
-780*d**3
Suppose 45*h = -84 + 146 + 118. Let o(z) be the first derivative of 0*z**3 + 0*z + 19 - 7/5*z**5 - 10*z**2 + 0*z**h. Find the second derivative of o(j) wrt j.
-84*j**2
Let a(p) = p**3 + 12*p**2 + 22*p + 23. Let c be a(-10). Find the second derivative of -12*i - i**4 - 4*i**4 - 9*i**4 + c + i**4 wrt i.
-156*i**2
Suppose -15*n = -8*n + 28. Let a(q) = q**3 + 5*q**2 + 3*q + 1. Let t be a(n). Find the third derivative of 5*o**5 - 30*o**2 - 12*o**5 + 3*o**5 - 15*o**t wrt o.
-1140*o**2
Let u(z) = 2392*z**3 - 1187*z**2 - 6*z - 24. Let m(v) = 4784*v**3 - 2373*v**2 - 14*v - 56. Let k(y) = -3*m(y) + 7*u(y). Find the third derivative of k(b) wrt b.
14352
Differentiate -4024*p + 192*p**3 + 221*p**3 + 307 + 4024*p wrt p.
1239*p**2
Let m(s) = 2984*s**2 - 4*s - 4055. Let f(g) = g**2 - g - 1. Let c(k) = -4*f(k) + m(k). Find the first derivative of c(v) wrt v.
5960*v
Find the third derivative of 2*g**2 + 19 - 18 + 2 - 40*g**2 + 1200*g**3 wrt g.
720