
100*m
Let l(b) = -6*b**3 + 12*b**2 - 14*b - 4160. Let d(x) = 11*x**3 - 24*x**2 + 28*x + 8319. Let r(f) = -4*d(f) - 7*l(f). What is the derivative of r(h) wrt h?
-6*h**2 + 24*h - 14
Let u(c) be the second derivative of 59*c**5/20 + 447*c**2/2 + 1251*c. Differentiate u(i) with respect to i.
177*i**2
What is the second derivative of -1589*w - 19*w**3 + 564*w - 1314*w + 37*w**3 + 33*w**3 wrt w?
306*w
Let b(q) be the second derivative of 10*q + 0*q**3 - 4*q**2 + 2 + 61/12*q**4. Differentiate b(n) wrt n.
122*n
Let g(o) = -o**2 + 5*o - 3. Let v be g(3). Suppose 3 = 2*t + v. What is the first derivative of 0*l + t*l + 16*l**4 - 2848 + 2812 wrt l?
64*l**3
What is the second derivative of 18*q**3 + 12 + 26 - 25 - 425*q - 15 - 31*q**4 wrt q?
-372*q**2 + 108*q
Differentiate 624*a - 458 - 807*a - 870*a - 6881*a**2 + 3439*a**2 + 3440*a**2 wrt a.
-4*a - 1053
Find the second derivative of -4093*j + 235023*j**4 - 1149*j**3 + 4488*j**3 - 235021*j**4 wrt j.
24*j**2 + 20034*j
Let a be (-76)/(-3) - (2/(-3) + 0). What is the third derivative of 8*b**2 + a*b**2 - 13*b - 36*b**2 - 3*b - 14*b**4 wrt b?
-336*b
Let v be -1 + 53 + -20 + 19. Differentiate -46 - 2 - 6 - 14 - v*z**2 with respect to z.
-102*z
Let i be ((-48)/(-9) - 2)*30/20. Let q(n) = -3*n - 6. Let u be q(-5). What is the second derivative of u*k - 8*k + 15*k + 11*k**i wrt k?
220*k**3
Let p(w) = -834*w**2 + 4*w - 2032. Let l(x) = -1660*x**2 + 6*x - 4065. Let m(b) = 3*l(b) - 5*p(b). What is the first derivative of m(r) wrt r?
-1620*r - 2
Suppose 0 = -17*p + 354 + 513. Let h = p - 27. Find the third derivative of 21*o**2 + h*o**6 - 3900*o**5 + 3900*o**5 wrt o.
2880*o**3
Let g(l) be the third derivative of 1039*l**7/210 + 428*l**5/15 + l**2 + 40*l. Find the third derivative of g(a) wrt a.
24936*a
Let o be 4 - (1 - 0 - 1). Let c(p) = -2*p**3 + 31*p**2 + 46*p + 91. Let m be c(17). What is the first derivative of m + 15*r - o - 2 - 2 wrt r?
15
What is the second derivative of -17*q**3 - 43*q**2 - 2678*q + 41*q**2 - 7*q**4 + 3536*q + 3 wrt q?
-84*q**2 - 102*q - 4
Let m(s) = 21*s + 107. Let f be m(-5). Differentiate -15*y**2 - 5*y**2 - 8*y**3 + 21*y**f + y**3 + 141 - 4*y**3 with respect to y.
-33*y**2 + 2*y
Let d(r) be the first derivative of 0*r**3 - 75*r + 0*r**2 - 49 + 29/2*r**4. Differentiate d(s) with respect to s.
174*s**2
Let b(c) be the first derivative of 263*c**5/5 - c**3/3 + 2204*c**2 + 3732. What is the second derivative of b(f) wrt f?
3156*f**2 - 2
Let j(o) = o**2 + 15*o + 56. Let t be j(-5). Find the third derivative of -2*i**3 + 5*i - 215*i**2 - 223*i**2 - 38*i**t + 442*i**2 wrt i.
-4560*i**3 - 12
Let a(f) be the first derivative of 0*f**2 + 0*f + 11/120*f**5 - 7/6*f**4 + 10/3*f**3 - 14. Let x(o) be the third derivative of a(o). Differentiate x(c) wrt c.
11
Let w(k) be the second derivative of -3*k**7/14 - k**6/5 + 7*k**5/20 + 1137*k**4/4 - 7*k + 374. What is the third derivative of w(f) wrt f?
-540*f**2 - 144*f + 42
Differentiate 3*u**3 + 4*u**3 - 188*u**2 - 1624 - 5*u**3 - 353*u**2 with respect to u.
6*u**2 - 1082*u
Let i(r) be the third derivative of 20*r**7/7 + 95*r**3/2 + 71*r**2 + 4. Differentiate i(c) wrt c.
2400*c**3
What is the derivative of -654805*v**2 - 7887*v**4 + 654805*v**2 - 6278 wrt v?
-31548*v**3
Let x(g) be the first derivative of 10*g - 63 + g**5 + 0*g**4 - 9/2*g**2 + 0*g**3. Differentiate x(z) wrt z.
20*z**3 - 9
Suppose -16 - 19 = -5*w. Let j(d) = -3*d**2 - 19*d - 20. Let o(v) = -2*v**2 - 9*v - 10. Let u(x) = w*o(x) - 3*j(x). What is the second derivative of u(z) wrt z?
-10
Let r be 5 + -2 + 6 + -4. Suppose 5*z = r*d, 4*d = 2 + 6. What is the second derivative of -5*j**5 + 17*j**z + j - 17*j**2 wrt j?
-100*j**3
Suppose 5*d - 2*r = 1060, d + 2*d + r - 625 = 0. Suppose -d = -5*g - 55. What is the second derivative of -11*a**5 + 42*a - g*a + 0*a**5 wrt a?
-220*a**3
Let t(n) be the third derivative of -n**8/168 - 232*n**7/105 - 8*n**5/15 + n**3/2 + 2*n**2 - 271*n. Find the third derivative of t(q) wrt q.
-120*q**2 - 11136*q
Let q = -363 - -365. What is the third derivative of 0*v**4 - 18*v**2 + q*v**4 + 2*v**2 - 2*v**2 - 88*v**3 wrt v?
48*v - 528
What is the second derivative of -17 + 17 + 48*l**2 - 249*l**2 + 1416*l - 147*l**2 wrt l?
-696
Let l(b) = 4*b - 10. Let a be l(3). Find the third derivative of -5 - j**3 - 207*j**5 + 453*j**5 - 224*j**5 - 5*j**a wrt j.
1320*j**2 - 6
Let f(b) be the first derivative of 164/3*b**3 + 152*b + 57 + 0*b**2. Differentiate f(p) with respect to p.
328*p
Suppose -4*d + 5*t = -6 - 8, 0 = -5*d + 5*t + 20. What is the third derivative of 2*s + 55 + 5*s**2 - 56*s**d - 55 - 29*s**2 wrt s?
-6720*s**3
Differentiate -534 + 784*q**2 + 227*q**2 + 113 - 258 - 598 with respect to q.
2022*q
Let n(b) = -2*b**2 + 6*b - 1. Let m be n(1). What is the third derivative of 22*r**2 - 10*r**m + 22*r**3 - 20*r**2 - 32*r wrt r?
72
Let q(h) be the third derivative of -h**8/168 + 131*h**5/60 + 220*h**4/3 + 21*h**2 - 3*h. Find the second derivative of q(g) wrt g.
-40*g**3 + 262
Let v(y) be the third derivative of 0*y**5 - y**4 + 0*y**6 - 2*y**2 - 88/105*y**7 + 49 + 0*y + 0*y**3. Find the second derivative of v(c) wrt c.
-2112*c**2
Let l = 1453 + -825. Find the second derivative of -l*c**3 + 628*c**3 - 76*c**5 - c - 41 wrt c.
-1520*c**3
Let n(r) be the first derivative of r**5/5 - 832*r**3 + 3418*r - 3842. Differentiate n(f) with respect to f.
4*f**3 - 4992*f
Let w(d) = -d**3 - 6*d**2 + 5*d - 11. Let x be w(-9). What is the third derivative of 15*t**4 - 194*t**2 + 6*t**4 + x*t**2 wrt t?
504*t
Let p(g) be the first derivative of 37 - 119/2*g**2 - 96*g. Differentiate p(v) wrt v.
-119
Let y = -213 - -216. Find the second derivative of 23*t**3 - 6*t**y + 69*t - 179*t - 24*t wrt t.
102*t
Let q(f) be the first derivative of -99/4*f**4 + 0*f**2 + 6*f + 0*f**3 - 24. Differentiate q(r) wrt r.
-297*r**2
Let q be (15 + 2)*(12 - 1). Find the second derivative of 12 - 33*v**3 - 184*v - 29*v**3 - 4 + q*v wrt v.
-372*v
Let x(r) be the third derivative of -2483*r**4/24 - 3869*r**3/6 - 21*r**2 + 10. Differentiate x(p) with respect to p.
-2483
Let s be ((8/(-10))/(-1))/((-24)/(-87540)). Find the second derivative of -s*o**2 - 152*o + 1459*o**2 + 1459*o**2 + 192*o**3 wrt o.
1152*o
Let b(h) = 44*h + 71. Let c(i) = 69*i - 35*i - 36*i. Let x(o) = -b(o) + 2*c(o). Find the first derivative of x(g) wrt g.
-48
Let a(d) be the first derivative of 8 - 300*d**4 + 154*d**4 + 296*d - 73 + 168*d**4. What is the first derivative of a(s) wrt s?
264*s**2
Let o = -210 - -212. Find the second derivative of 36 + 276*r**o + 3402*r - 3403*r - 51*r**2 + 72*r**2 wrt r.
594
Let f = 3 - 3. Suppose 135 = -12*c + 39*c. What is the second derivative of 7*l**5 + 2*l**c - 12*l + f*l**5 wrt l?
180*l**3
Suppose 0 = 5*g - 44 - 6. Suppose c + g*c = 33. Find the second derivative of 62*x**3 + 5*x**c - 16*x**3 - 17*x - 2 wrt x.
306*x
Let j(q) = 4*q - 11 + 9 - 4 + 7. Let s be j(1). Find the third derivative of -1160 + 1160 + 5*m**2 + 33*m**s wrt m.
1980*m**2
Let v(y) = 558*y**3 + 4*y**2 + 2786. Let o(q) = -2786*q**3 - 22*q**2 + q - 13927. Let j(u) = -2*o(u) - 11*v(u). Differentiate j(f) wrt f.
-1698*f**2 - 2
Let k(a) = -5*a**6 + 22*a**4 + 1005*a**2. Let t(n) = -n**6 + 2*n**4 + n**2. Let h(j) = k(j) - 10*t(j). What is the third derivative of h(y) wrt y?
600*y**3 + 48*y
Suppose 49*k - 85*k = 0. Let f(d) be the first derivative of -10 + k*d - 11/5*d**5 + 0*d**4 - 3*d**3 + 0*d**2. What is the third derivative of f(j) wrt j?
-264*j
Let m(w) be the second derivative of 269*w**5/10 + 599*w**4/3 + w + 529. Find the third derivative of m(f) wrt f.
3228
Let i(m) be the third derivative of -2291*m**8/112 + 173*m**4/24 - m**3/2 - 1001*m**2. Find the second derivative of i(z) wrt z.
-137460*z**3
Suppose 6*z = 14*z + 40. Let j(i) = 32*i**4 - 5*i**2 - 5*i - 9. Let q(l) = l**4 + l**2 + l - 1. Let k(c) = z*q(c) - j(c). Differentiate k(b) wrt b.
-148*b**3
Let o be (-2 + 9)*180/42. Find the third derivative of -34*v**2 - v**3 + o*v**2 + 3*v**3 + 13*v**5 wrt v.
780*v**2 + 12
Let n(m) be the first derivative of -6703*m**4/4 - 9*m**2/2 - 402*m - 4718. Find the second derivative of n(l) wrt l.
-40218*l
Find the second derivative of -36 - 1836*c**5 + 376*c - 383*c - 16 wrt c.
-36720*c**3
Let d(g) be the second derivative of -51*g**6/5 + 49*g**3/6 - 17