Suppose 56 = p*d - 52. Differentiate -5*z + 39*z**4 + 5*z + 3 - d*z**4 with respect to z.
12*z**3
Differentiate 1883*v**3 + 26*v**3 + 5*v**2 + 1454 - 4*v**2 - 453*v**3 with respect to v.
4368*v**2 + 2*v
Let x(p) = 4*p**2 - 12. Let m(u) = -80 - 166*u**2 + 169*u**2 + 34 + 34. Let j be -1*(-1 + 2 + 2). Let i(h) = j*m(h) + 2*x(h). Differentiate i(t) wrt t.
-2*t
Suppose -9*x = -6*x - 15. Suppose -86 = -x*c - 4*v, 5*c = -0*v + 4*v + 54. Find the second derivative of -185*s**3 - c*s**4 + 9*s + 185*s**3 wrt s.
-168*s**2
Let n(j) be the third derivative of -253*j**4/8 + 155*j**3 - 10*j**2 - 62*j. What is the first derivative of n(z) wrt z?
-759
Suppose z - c + 23 = 5*z, 5*c = 4*z - 5. Find the third derivative of 0*a**2 + 1851*a**4 - 28*a**z + 2*a**3 - 1851*a**4 + 5*a**2 wrt a.
-1680*a**2 + 12
Let l(m) = 19*m + 17*m**2 - 2*m**2 + 2 + 8*m**2 + 14*m. Let k(b) = 23*b**2 + 29*b + 3. Let f(g) = -2*k(g) + 3*l(g). Find the second derivative of f(t) wrt t.
46
Let n(y) be the first derivative of 2*y**6/3 - 48*y**5/5 + 1743*y**2/2 - 1740. What is the second derivative of n(v) wrt v?
80*v**3 - 576*v**2
Let c(d) be the second derivative of 37/20*d**5 + 0 + 0*d**2 - 191/12*d**4 + 0*d**3 - 159*d. What is the third derivative of c(q) wrt q?
222
Let j = 3 - 1. Let u be -2*(j + 8)/(-5). Find the second derivative of -2*r - 12*r**4 + 10*r - r**4 - 2*r**u wrt r.
-180*r**2
Suppose 7*n - 13*n = -12. What is the third derivative of -6*r**5 + 4*r**5 - 99*r**n + r**4 + 63*r**2 wrt r?
-120*r**2 + 24*r
Let a(v) be the second derivative of 391*v**3/3 + 531*v**2 + 985*v. Differentiate a(x) wrt x.
782
What is the derivative of 1210 - 13362*j - 14550*j + 30479*j wrt j?
2567
What is the third derivative of 5087 - 6*p + 4*p - 5087 + 950*p**2 + 1642*p**5 wrt p?
98520*p**2
Let m(w) be the first derivative of 0*w**3 + 10*w + 5/3*w**4 + 7/2*w**2 - 5. Let p(c) be the first derivative of m(c). What is the derivative of p(v) wrt v?
40*v
Let s(d) be the second derivative of 1053*d**5/20 - 7*d**4/4 + 7*d**3/3 + 18*d - 1. What is the third derivative of s(f) wrt f?
6318
Let s be 10 + -12 + (3 - (-1 - -2)). What is the second derivative of -5*o + 18 - 9*o**3 + s*o**3 + 7*o - 4*o wrt o?
-54*o
Let q(z) = -706*z**4 + 2*z**3 + 2*z**2 - 749*z - 2. Let l(w) = -w**3 - w**2 - w + 1. Let i(a) = -2*l(a) - q(a). Find the second derivative of i(o) wrt o.
8472*o**2
Let q(z) = 3999*z**2 + 558. Let k(h) = 3*h**2 + 3. Let c(v) = -372*k(v) + q(v). Differentiate c(y) with respect to y.
5766*y
Let z(c) = -10*c**2 - 5*c + 39. Let y(s) = 2*s**3 + s**2 + 5*s + 5. Let r be y(-1). Let n(w) = w. Let g(i) = r*z(i) - 5*n(i). Differentiate g(u) wrt u.
20*u
Let m(r) be the third derivative of -r**6/40 + 4*r**5/5 - 7*r**4/12 - 698*r**2. Find the second derivative of m(p) wrt p.
-18*p + 96
Let b(c) be the second derivative of -43/3*c**3 + 0 + 94*c - 1/6*c**4 + 0*c**6 + 95/21*c**7 + 0*c**2 + 0*c**5. Find the third derivative of b(d) wrt d.
11400*d**2
Find the second derivative of -12296*c**4 - 376*c - 245*c + 12296*c**4 - 24*c + 4279*c**5 wrt c.
85580*c**3
Let i(g) be the second derivative of g**4/3 - 41*g**3/2 - 313*g**2/2 - g + 454. What is the derivative of i(y) wrt y?
8*y - 123
Suppose w - 9*m - 3 = -7*m, -3*w - 2*m = -17. Find the third derivative of -203*h**w + 13*h**2 + 33*h**2 + 76*h**2 - 17*h**2 wrt h.
-12180*h**2
Let o(s) be the third derivative of 229*s**6/40 - 841*s**5/30 - 1174*s**2. Find the third derivative of o(m) wrt m.
4122
Differentiate -149*o**2 + 1055 - 666*o**2 - 100*o**2 + 184*o**2 - 281*o**2 wrt o.
-2024*o
Let n(p) = p**3 + 16*p**2 + 28*p - 36. Let m be n(-13). What is the third derivative of 404*f**3 - m*f**2 - 818*f**3 + 433*f**3 wrt f?
114
Find the second derivative of -4297 + 4289 + a**3 + 6*a + a**4 - 98*a + a**3 + 66*a**2 wrt a.
12*a**2 + 12*a + 132
Let l(h) = 34*h**2 + 4*h - 311. Let w(q) = -101*q**2 - 14*q + 932. Let n(m) = -7*l(m) - 2*w(m). Differentiate n(s) with respect to s.
-72*s
Find the third derivative of -6 - 369*n**3 + 7641*n**5 - 2 - 4*n**2 + 182*n**3 + 187*n**3 wrt n.
458460*n**2
Let r be (-2)/(5/(15/2)) + 12. Suppose -5*s = -4*s - r. What is the third derivative of 9*z**2 + 13*z**2 - s*z**4 - 29*z**2 wrt z?
-216*z
Differentiate 67*q + 85*q + 12*q + 1504 - 458 + 104*q wrt q.
268
Let q(c) = c**5 + 2*c**2 - 5*c. Let b(r) = -274*r**5 - 23*r**2 + 2999*r. Let i(h) = -b(h) - 6*q(h). What is the second derivative of i(u) wrt u?
5360*u**3 + 22
Let v(o) be the first derivative of 1303*o**4/2 + o**3/3 + 1783*o**2/2 - 4390. What is the second derivative of v(y) wrt y?
15636*y + 2
What is the third derivative of -55*b**3 - 41*b**4 - 116*b**3 + 16*b**2 - 7*b**2 - 163*b + 237*b**3 wrt b?
-984*b + 396
Let i = 129 + -127. What is the third derivative of 0*f**i - 6*f**4 - 7*f**3 - 20*f**3 - 2*f**2 + 8*f**4 - 2 wrt f?
48*f - 162
Let u(j) be the third derivative of 161*j**6/30 + 119*j**5/30 + j**4/12 - 156*j**2 - 2*j. What is the third derivative of u(f) wrt f?
3864
Let a(u) be the first derivative of 91/4*u**4 + 7*u**2 - u + 0*u**3 - 51. Find the second derivative of a(f) wrt f.
546*f
Let u(w) be the second derivative of 1673*w**6/30 + 2221*w**4/12 - 6715*w. Find the third derivative of u(j) wrt j.
40152*j
Suppose -132*b + 4899 + 6321 = 0. Let l = 69 - 30. Find the second derivative of z**5 + 67*z - b*z - l*z**5 wrt z.
-760*z**3
Let v(j) = 2*j + 14. Let n be v(-8). Let h be (-6)/n*1434/9. What is the second derivative of 0*a + 2*a - 5 + h*a**2 - 503*a**2 wrt a?
-50
Let o be 5 - 1 - (-1 - 1). Suppose -v + o = -2*d, 2*v + 2*d - 24 = -2*v. Find the second derivative of v*q - 2*q**3 + 19*q - 5*q wrt q.
-12*q
Suppose 3*i + 24 = v, -1 = -3*v - 2*i + 27. Suppose -z + v = 2*z. Find the second derivative of -6*u + z*u**3 + 12*u**3 + 460 - 460 wrt u.
96*u
Let o(a) be the third derivative of -142*a**2 - 2*a + 0 + 0*a**5 + 241/210*a**7 + 0*a**6 + 0*a**3 - 35/12*a**4. What is the second derivative of o(t) wrt t?
2892*t**2
Find the second derivative of 29320*g**2 - 15 - 36294*g**2 + 3*g - 695 wrt g.
-13948
Let c(x) be the first derivative of -61*x**5/20 + 37*x**4/12 + 48*x + 20. Let v(a) be the first derivative of c(a). Find the third derivative of v(n) wrt n.
-366
Let h(c) be the first derivative of 2*c**3 - c**2/2 + 24. Let i be h(1). Find the third derivative of -i*p**3 + 25*p**2 + 18*p**6 + 5*p**3 wrt p.
2160*p**3
Let v(m) be the second derivative of 283*m**8/56 + 365*m**4/4 - m**3/6 - 1633*m. Find the third derivative of v(k) wrt k.
33960*k**3
Let o = 34 + -32. Suppose o*v + 79 = 127. Differentiate -18*n**2 + 4*n**2 + 4*n**2 - 12*n**2 + v with respect to n.
-44*n
Let n be 0/(5 + -24 - -8). Let g(y) be the second derivative of 43/12*y**4 + 0*y**3 - 5*y + 0 - 4/5*y**5 + n*y**2. What is the third derivative of g(w) wrt w?
-96
Let l(q) be the first derivative of 79*q**4/12 - q**3/3 - 25*q**2/2 - 107*q + 29. Let h(f) be the first derivative of l(f). Differentiate h(x) wrt x.
158*x - 2
Find the second derivative of 5*c**4 + 2984*c + 65 - 619*c**5 + 1268*c**5 - 2927*c wrt c.
12980*c**3 + 60*c**2
Let p(a) be the first derivative of 515*a**2/2 + 42*a - 273. Differentiate p(l) with respect to l.
515
Let l(t) = 3*t - 12. Let g = -19 + 26. Let q be l(g). Find the first derivative of -22*y**2 - 36 + 21 + q*y**2 wrt y.
-26*y
Let r(d) be the second derivative of 8*d**5 + 7*d**4/4 + 13*d**2 + 19*d - 36. What is the third derivative of r(p) wrt p?
960
Let b be 15/(-10) - (-9)/2. Suppose 2*m + 5*s - 11 = b*m, -5*m + 29 = -4*s. Differentiate -11*q**4 + m*q**4 - 13*q**4 - 12 - 13*q**4 with respect to q.
-112*q**3
Let c(g) be the third derivative of 489*g**8/112 + 2465*g**4/24 + 3250*g**2. Find the second derivative of c(n) wrt n.
29340*n**3
Let i(x) be the first derivative of 12*x**2 - 13 - 18 - 24*x**2 - 15*x**2 - 13*x**5. Find the second derivative of i(y) wrt y.
-780*y**2
Let v(q) be the second derivative of -5*q**8/28 + 83*q**6/15 + q**5/10 - 17*q**4/2 + 13*q**3/3 + 5668*q + 2. Find the third derivative of v(y) wrt y.
-1200*y**3 + 3984*y + 12
Suppose -175 = -37*n + 2*n. Find the second derivative of -n*x**2 + 5*x**2 + 32*x - 34*x - 5*x - 8 + 118*x**5 wrt x.
2360*x**3
Let n(a) be the second derivative of -a**5/4 + 73*a**4 - 59*a**3/3 + a**2 - 8389*a. Find the second derivative of n(s) wrt s.
-30*s + 1752
Let f(l) = -2*l*