
-47856*w
Let o(c) = -7*c + 5. Let u(v) = -5*v + 7. Suppose -22 = d - 0*r + 5*r, 4 = 3*d + r. Let k(w) = d*o(w) - 4*u(w). Find the first derivative of k(p) wrt p.
-1
Let q = -161 + 165. Let h(j) = 19*j**2 + 60*j - 4. Let b(s) = -37*s**2 - 119*s + 7. Let i(w) = q*b(w) + 7*h(w). What is the second derivative of i(n) wrt n?
-30
Let r(l) be the third derivative of 0 + 0*l**4 + 9/20*l**5 + 1/30*l**6 + 4/105*l**7 - 2*l**2 + 126*l - 1/2*l**3. Find the third derivative of r(x) wrt x.
192*x + 24
Let i(y) = -y**2 - 2*y + 1. Let m = 135 - 130. Let r(q) = -54*q**2 - 18*q - 5. Let w(n) = m*i(n) + r(n). What is the second derivative of w(z) wrt z?
-118
Find the first derivative of 388 + 171*p**3 - 4*p - 4*p + 3404 - 187*p**3 wrt p.
-48*p**2 - 8
Let d be ((-2)/(-4))/(-7 + (-171)/(-24)). Let u(p) be the second derivative of -4*p**3 + 15*p + 21*p**2 + 3*p**3 + d*p. Differentiate u(g) with respect to g.
-6
Let o(i) be the second derivative of 8173*i**6/30 - 11633*i**4/12 + i**3/6 - 1795*i. Find the third derivative of o(t) wrt t.
196152*t
Let p(r) be the third derivative of -193*r**4/12 + 208*r**3/3 + 2*r**2 - 8. What is the derivative of p(h) wrt h?
-386
Let y(r) = -r**2 - 14*r - 33. Let h be y(-11). Let a be ((-8)/3 + h/15)*-15. Differentiate 28*d - 21*d + 3*d + a + 15*d with respect to d.
25
Let n = 58 - 52. Find the second derivative of 48*u**4 - 12 + 17*u + n*u - 37*u + 15*u wrt u.
576*u**2
Suppose -101 = -3*s + 55. Suppose -53*t + s*t + 803 = 0. Differentiate -803*j**2 + t*j**2 + 37*j**3 + 9 with respect to j.
111*j**2
Let i(k) = 3*k**3 + 2*k**2 - k + 3. Let d be i(-3). Let y = -43 - d. Find the second derivative of -6*t + y*t**5 - 4*t + t wrt t.
280*t**3
What is the second derivative of 9 + 38*w + 20836*w**3 + 2 - 19905*w**3 wrt w?
5586*w
Suppose -4*g - 384 - 324 = 0. Let a be (-2 - -4)*(g/2)/(-3). What is the third derivative of -59 + a - 16*y**2 + 4*y**3 wrt y?
24
What is the third derivative of 5*c + 3152*c**5 - 1 + 190203*c**4 - 69*c**2 - 190203*c**4 + 0 wrt c?
189120*c**2
Suppose 49 = 9*b + 292. Let a = b + 41. Find the second derivative of -a*h**4 - 2*h**4 + 18*h - 2*h wrt h.
-192*h**2
Let d(g) = g - 4. Let j(c) be the second derivative of -c**3 - 7*c + 0 + 21/2*c**2. Let o(w) = -22*d(w) - 4*j(w). What is the derivative of o(s) wrt s?
2
Let y(j) = -12*j - 108. Let g be y(-14). What is the first derivative of -259*f - 118*f**4 + 130*f - g + 129*f wrt f?
-472*f**3
Let x(t) be the second derivative of 54 - 1/20*t**5 + 0*t**2 - 93/2*t**3 + 2*t + 25/2*t**4. What is the second derivative of x(i) wrt i?
-6*i + 300
Let o(z) = 33*z**3 - 3*z - 96. Suppose 0 = 7*b - 5 - 16. Let t(d) = -100*d**3 + 8*d + 287. Let h(p) = b*t(p) + 8*o(p). Differentiate h(m) wrt m.
-108*m**2
Let r(g) be the first derivative of -g**6/6 + 2*g**5 + 86*g**3/3 + 6850*g**2 - 11091. What is the second derivative of r(u) wrt u?
-20*u**3 + 120*u**2 + 172
What is the third derivative of -1211*u + 402*u + 7007*u**3 + 405*u - 9159*u**2 + 404*u wrt u?
42042
What is the third derivative of 475*l**2 + 35*l**4 - 954*l**4 - 15*l**4 - 1231*l**2 wrt l?
-22416*l
Let l = -15 - -21. What is the third derivative of 25*m**l + 9*m**6 - 22*m + 20927*m**2 - 20930*m**2 wrt m?
4080*m**3
Let t(p) be the third derivative of 49/2*p**3 + 2 + 0*p + 0*p**5 + 0*p**6 + 19/21*p**7 - 10*p**2 + 1/12*p**4. What is the derivative of t(f) wrt f?
760*f**3 + 2
Suppose 110 = 3*o + 4*t, -4*o + 68 + 47 = -t. Let b = o + -26. What is the second derivative of -3*s**3 + 3*s**3 + 182*s - 176*s + 14*s**b wrt s?
168*s**2
Suppose c = 4*i + 2, 4*c + 5*i - 4 = 4. What is the first derivative of -19*x**3 - x**2 + 3*x**c - 14*x**3 - 17 - 3*x**2 wrt x?
-99*x**2 - 2*x
Let t be 2/((-7)/((-266)/4)). Suppose 3*k + 5 = 4*c + 4*k, 5*c - 3*k - t = 0. Differentiate c - 2*n + 1 + 2 wrt n.
-2
Let h = 1190 + -603. Let t = -356 + h. What is the third derivative of t - 12*o**2 - 231 + 21*o**5 wrt o?
1260*o**2
Let b = 762 - 758. Let m(x) be the second derivative of 0*x**3 + 2*x + 8/15*x**6 + 0 + 4/3*x**b + 0*x**2 + 0*x**5. What is the third derivative of m(v) wrt v?
384*v
Let a(u) be the third derivative of 8*u**5/5 + 5231*u**3/6 + u**2 - u + 6. Find the first derivative of a(l) wrt l.
192*l
Let c be (-1)/(-2)*(36 - (-2 - -4)). What is the second derivative of 22 - 633*w**5 + 575*w**5 + c - 3*w wrt w?
-1160*w**3
Let l be (-3 - 0)*7/((-28)/(-20)). Let u = l - -18. What is the third derivative of 2*o**3 - 3*o**u - 32*o**3 - 34*o**2 wrt o?
-198
Suppose -5*i + 95 = -255. Let v = i + -68. What is the third derivative of 6*t**v - 26*t**4 - t**2 + 15*t**2 wrt t?
-624*t
Differentiate 1564*i**3 - 124956*i - 2262 + 124956*i wrt i.
4692*i**2
Let n(d) be the second derivative of -493*d**5/2 - d**4/6 + 1519*d**3/2 + 3055*d. What is the second derivative of n(g) wrt g?
-29580*g - 4
Suppose 0 = 5*p - 2*t - 14, -7*t + 12*t + 18 = 4*p. Find the first derivative of 173*d**2 + 2*d - 533 + 756 - p*d wrt d.
346*d
Let c = -5019 + 10045/2. Let t(s) be the second derivative of -c*s**2 + 17*s - 1/2*s**3 + 0. Differentiate t(z) with respect to z.
-3
Suppose 38*t = 37*t + 13. Suppose i + 33 = 3*v, -5*v - 3*i - 8 = -49. What is the second derivative of 0*o**5 - v*o**5 + 5*o**5 + t*o wrt o?
-100*o**3
Find the second derivative of -16901*b + 34730801*b**4 - 22*b**3 + 5*b**2 + 1311*b - 34730790*b**4 wrt b.
132*b**2 - 132*b + 10
Let w = 309 - 307. Find the third derivative of 13*m**5 - 19 + 2*m**2 - 4*m**w + 6*m**2 - 5*m**2 wrt m.
780*m**2
Let u(y) be the third derivative of 353*y**5/60 - y**4/12 - 271*y**3/3 + 2512*y**2. What is the derivative of u(b) wrt b?
706*b - 2
What is the third derivative of 5283*h**2 - 1635*h**3 - 544*h**3 + 5083*h**2 - 9062*h**2 wrt h?
-13074
Let c(g) be the first derivative of -3961*g**2 + 5615*g - 23. What is the first derivative of c(p) wrt p?
-7922
Let f(z) be the third derivative of -23/40*z**6 + 0*z**5 + 0 + 4*z**2 - 16*z + 0*z**3 + 2/3*z**4. What is the second derivative of f(u) wrt u?
-414*u
Find the second derivative of 277*d - 24*d**4 + 1829*d + 1274*d + 99*d**4 + 16*d**4 + 5*d**5 wrt d.
100*d**3 + 1092*d**2
Find the third derivative of -41*q**3 - 790*q**2 + 122*q**3 - 123*q**2 - 79*q**2 - 11*q**4 - 34*q**3 wrt q.
-264*q + 282
Let z(r) be the second derivative of 3*r**8/56 + 777*r**5/20 + 136*r**4 + 2203*r. Find the third derivative of z(t) wrt t.
360*t**3 + 4662
Let g be 47 - 0 - (2 - 8 - -2). Differentiate -3 + 16 + g*j - 3 with respect to j.
51
Find the third derivative of 24*j**2 - 14*j - 1491*j**4 - 1 - 4*j**2 + 3 - 19*j**2 + 5*j**2 wrt j.
-35784*j
What is the second derivative of -1811 - 120*p**2 + p**3 + p**2 + 40*p**2 - 129*p**2 - 16*p + 17*p wrt p?
6*p - 416
Let t = 61 + -72. Let a(g) = -g**3 - 11*g**2 - 2*g - 19. Let q be a(t). What is the third derivative of -17*r**2 - 17*r**q - 4*r**3 + 5*r**3 wrt r?
-96
Let w(j) be the second derivative of 184*j**7/21 - j**6/15 - 3*j**5/20 - 5815*j**4/12 - 5898*j. What is the third derivative of w(p) wrt p?
22080*p**2 - 48*p - 18
Let j(h) be the second derivative of 1166*h**5/5 + h**4/12 - 9929*h**3/6 + 1450*h - 1. Find the second derivative of j(f) wrt f.
27984*f + 2
Differentiate -775*w**3 + 354*w**3 + 2966 - 1045*w**3 - 1111*w**3 with respect to w.
-7731*w**2
Differentiate 109 - 193 - 338 + 57*c**3 - 536*c**3 - 3390*c**3 with respect to c.
-11607*c**2
Let i(l) be the third derivative of -113*l**6/24 + 11*l**4/4 - l**3/2 + 134*l**2 + 2*l. Find the second derivative of i(y) wrt y.
-3390*y
What is the second derivative of -502 + 2*s + 558 + 8405*s**2 + 1597 wrt s?
16810
What is the third derivative of -197 - 6*i**2 + i**2 - 6030*i**3 - 6038*i**3 + 12067*i**3 - i + 1474*i**4 wrt i?
35376*i - 6
Let k(j) = j - 40. Let r(l) = -5280*l - 12078. Let x(w) = -121*k(w) + r(w). Find the first derivative of x(a) wrt a.
-5401
Let x be (-141)/(-6) + 9/6. Let v = x - 8. What is the second derivative of 2942*s**2 + 6*s - 2942*s**2 + v*s**4 wrt s?
204*s**2
Let h(f) be the first derivative of -298 - 82*f - 143/2*f**2. Differentiate h(k) with respect to k.
-143
Let z(p) = 3*p**3 + 3*p**2 + 5*p. Let s be z(-2). Let n = -19 - s. Find the third derivative of -8*t**2 + n*t**5 + 5*t**2 + 9*t**5 wrt t.
720*t**2
Let q(k) be the second derivative of -149*k - 11/6*k**4 - 1/6*k**3 - 89*k**2 + 0. What is the derivative of q(u