q**3 + 13*q**3 wrt q?
96*q
What is the derivative of -58*w**4 - 198319*w**2 + 198319*w**2 - 23*w**3 + 134 - 8461 wrt w?
-232*w**3 - 69*w**2
Let z(f) be the second derivative of -103*f**7/3 + 1601*f**3/6 + f**2/2 + 9*f - 2. Find the second derivative of z(y) wrt y.
-28840*y**3
Suppose 2*r - s = 58, 166 = r - 3*s + 142. Suppose 0 = 3*k - 2*k - 24. Differentiate 31*m**2 - 22 - r*m**2 + k*m**2 with respect to m.
50*m
Find the third derivative of -82 + 172 - 1768*x**3 + 1427 - x**2 + 560 wrt x.
-10608
Let z(f) be the first derivative of 0*f + 0*f**4 - 103 + 0*f**2 + 0*f**5 - 158/3*f**6 - 85/3*f**3. Find the third derivative of z(y) wrt y.
-18960*y**2
Let o(t) be the second derivative of 973*t**6/30 + t**4/4 + 145*t**2/2 + 1140*t. Find the third derivative of o(r) wrt r.
23352*r
Let h(y) = -37076*y - 34808. Let r(t) = 4120*t + 3867. Let i(k) = -6*h(k) - 56*r(k). Find the first derivative of i(c) wrt c.
-8264
Suppose -3*u - 5*l + 55055 = 6922, -16045 = -u - 2*l. Find the second derivative of 33 + u*d**2 - d + 4*d - 15988*d**2 wrt d.
106
Find the first derivative of -5*z**2 + 5591*z**3 - 5095*z**3 - 2330 + 5*z**2 + 0*z**2 - 3*z**2 wrt z.
1488*z**2 - 6*z
Let o(m) be the second derivative of 0*m**4 + 0*m**6 - 62/21*m**7 + 71/6*m**3 + 0*m**5 - m**2 + 3 - 29*m. What is the second derivative of o(d) wrt d?
-2480*d**3
What is the derivative of 73*z**2 - 81 + 374*z**2 + 1451 + 173*z**2 - 157*z**2 wrt z?
926*z
Let z(t) = -7021*t**3 + 5*t**2 + 30*t + 738. Let i(l) = -3510*l**3 + 3*l**2 + 18*l + 369. Let p(d) = -5*i(d) + 3*z(d). Find the first derivative of p(y) wrt y.
-10539*y**2
Let b(j) be the third derivative of 94*j**7/105 - j**4/24 - 61*j**3/2 - 599*j**2. Differentiate b(w) with respect to w.
752*w**3 - 1
Let w(m) = -m**3 - 21*m**2 - 37*m + 22. Let x be w(-19). Let z = 11 - 9. What is the third derivative of 43*c**5 + 250*c**2 + x*c - 3*c - 293*c**z wrt c?
2580*c**2
Let x(k) = -4*k + 4. Let u(a) = -2008*a - 3057. Let h(v) = -u(v) - 3*x(v). What is the derivative of h(g) wrt g?
2020
Suppose -5*v + 3*q + 29 = -0*q, -3*q - 17 = -2*v. Let w be (3/v)/((-4)/48*-3). Find the third derivative of 0*c**3 + 2*c**w - 24*c**2 - 3*c**2 wrt c.
12
Suppose 0 = -4*v + 25 - 17. What is the third derivative of 29*h**2 + 10*h**v + 69*h**2 - 23*h**2 + 59*h**3 wrt h?
354
Let x(s) be the first derivative of -832*s**2 - 1304*s - 1627. Differentiate x(o) with respect to o.
-1664
Let w be 55/22 + (-3)/(-2). Find the third derivative of -21*c**4 + 13*c**w + 55*c**2 + 2*c**3 + 23*c**4 wrt c.
360*c + 12
Let i(k) be the third derivative of 263/120*k**6 + 0 + 0*k**4 - 10/3*k**3 + 59*k + 1/20*k**5 + 3*k**2. Find the third derivative of i(j) wrt j.
1578
Let x(n) = -238*n**2 + 23*n - 1. Let c = -243 - -247. Let v(h) = 79*h**2 - 8*h. Let j(l) = c*x(l) + 11*v(l). What is the second derivative of j(f) wrt f?
-166
Let i(a) = 5*a + 8. Let q(x) be the first derivative of -x + 27. Let w(k) = -3*i(k) - 6*q(k). Differentiate w(z) wrt z.
-15
Let w(j) be the first derivative of -288*j**5/5 + j**4/2 - 199*j**3/3 - j - 840. Find the third derivative of w(l) wrt l.
-6912*l + 12
Let h(n) be the second derivative of 4*n**6/15 - 10*n**3/3 - 423*n**2/2 - 17*n - 8. What is the first derivative of h(l) wrt l?
32*l**3 - 20
Suppose -1922*h + 12 = -1916*h. Let z(t) be the first derivative of -20 + h*t - 15/2*t**2. Differentiate z(s) with respect to s.
-15
Let f(p) = 29154*p - 84516. Let i(j) = 2424*j - 7043. Let g(l) = 2*f(l) - 25*i(l). Differentiate g(x) wrt x.
-2292
Find the second derivative of 1438*j**2 + 0*j**3 - 91*j - j**3 - 1340*j**2 + 0*j**3 - 3 wrt j.
-6*j + 196
Let x(f) = 1840*f**3 - 1997*f**2 + 6*f - 36. Let o(u) = u**3 - 2*u**2 + u - 6. Let m(g) = -6*o(g) + x(g). What is the third derivative of m(p) wrt p?
11004
What is the second derivative of -18535*g**3 - 5170*g**5 - 18531*g**3 + 37066*g**3 - 4410*g**5 - 10355*g wrt g?
-191600*g**3
Suppose 7*f + 122 + 298 = 0. Let y be ((-48)/f)/(4/70). Differentiate -30 - y*u + 21*u + 6 with respect to u.
7
Let r(d) = -2399*d + 4849. Let f(x) = -2553*x + 4848. Let c(b) = 4*f(b) - 5*r(b). Differentiate c(j) wrt j.
1783
Let u(z) = 5*z**2 - 5*z + 4. Let o be u(5). Suppose 14 - o = -10*h. Find the first derivative of 4*d - h + 2*d + 31 + 23*d wrt d.
29
Let p be (1 + 0)/((-11)/(-22)). Let q(m) be the second derivative of 15*m + m**5 + 10*m + 7*m**p - 9*m. Differentiate q(r) with respect to r.
60*r**2
Suppose -2*j = 3*j + 5*x - 765, 5*j - 765 = 3*x. Let c = j - 83. What is the first derivative of -2*n**2 + 8 - c*n + 70*n - 2*n**2 wrt n?
-8*n
Let z(a) = -1001*a**6 - 962*a**2 - 5*a. Let b(p) = 1001*p**6 + 960*p**2 + 3*p. Let x(u) = 3*b(u) + 2*z(u). Find the third derivative of x(k) wrt k.
120120*k**3
Let z(p) be the first derivative of -117*p + 0*p**3 - 4/5*p**5 + 0*p**4 + 0*p**2 + 73. Differentiate z(l) with respect to l.
-16*l**3
Let q(s) = 21*s - 16. Let t(l) = 2*l + 37. Let k be t(-18). Let g(z) = -6 - k + 10 - 2. Let f(p) = -3*g(p) + q(p). What is the derivative of f(d) wrt d?
21
Suppose -69*u = -25 + 25. Let o(y) be the third derivative of 0*y**3 - 1/4*y**4 + 16*y**2 + u + 3/10*y**5 + 0*y. Find the second derivative of o(z) wrt z.
36
Suppose -5*t + 51 - 16 = 0. Let m(i) = -i**3 + 8*i**2 - 15*i + 11. Let x be m(5). Find the second derivative of g**5 + x*g**5 + g**5 + t*g wrt g.
260*g**3
Let m(i) = -590*i**2 - 2*i + 121. Let t(z) = -1178*z**2 - 3*z + 244. Let v(k) = 7*m(k) - 4*t(k). What is the derivative of v(c) wrt c?
1164*c - 2
Let p(v) be the first derivative of -134/3*v**3 + 17*v**4 + 0*v + 0*v**2 + 155. What is the third derivative of p(n) wrt n?
408
Let m(c) = -c**2 + 22. Let f be m(4). Let s be f/3 - 1 - -1. What is the third derivative of -58*i**s + 73*i**2 - 34*i**3 - 58*i**2 wrt i?
-204
Let l(t) = 14255*t**2 - 1661*t - 4. Let z(c) = -42764*c**2 + 4919*c + 13. Let x(q) = -13*l(q) - 4*z(q). What is the second derivative of x(m) wrt m?
-28518
What is the derivative of -136 + 733*l - 385 + 110 - 65 wrt l?
733
Let a(u) be the first derivative of -5*u**7 - 3*u**6/2 + 611*u**3/3 + 178. Find the third derivative of a(r) wrt r.
-4200*r**3 - 540*r**2
Let t be -1 - ((-92)/28 + (-10)/(-35)). Find the second derivative of -5*q**4 + 8*q**4 + 2*q - 28*q - 5*q**t wrt q.
36*q**2 - 10
Let a(c) be the second derivative of -4217*c**6/30 - 987*c**2/2 - 1454*c. What is the derivative of a(h) wrt h?
-16868*h**3
Let a(t) be the third derivative of -21*t**5/4 + 305*t**4/24 + 5*t**2 + 124*t. Find the second derivative of a(v) wrt v.
-630
Suppose 24 = -h - 0*h. Let t = h + 37. Differentiate -t + 17 + 4*f + 13*f**2 - 4*f wrt f.
26*f
Suppose 0 = 7*w + 7*w + 7*w. Find the second derivative of -222*y + 7541*y**3 + 0 + w - 7483*y**3 wrt y.
348*y
Let h(w) = -w**3 + 15*w**2 - 1. Let f(o) = 6183*o**3 + 4133*o**2 - 9. Let m(i) = -f(i) + 9*h(i). What is the third derivative of m(a) wrt a?
-37152
What is the first derivative of 425 + 147 - 92 + 223 + 867*f + 241 wrt f?
867
Let y(p) be the third derivative of p**8/21 + p**7/21 + 775*p**4/24 - p**3/6 - 1630*p**2. What is the second derivative of y(b) wrt b?
320*b**3 + 120*b**2
What is the second derivative of -6805*r + 5422*r + 1507*r**3 - 4294*r**3 - 6379*r**3 wrt r?
-54996*r
Let f(a) = 1331*a**5 - 2*a**4 - 1113*a**2 - a + 2. Let p(m) = m**5 + m**4 - m**2 - 1. Let q(r) = f(r) + 2*p(r). Find the third derivative of q(k) wrt k.
79980*k**2
Let p(u) be the second derivative of -u - 166 - 97*u**2 - 35/2*u**3. Find the first derivative of p(z) wrt z.
-105
Let i be 1*4/6 - (-12)/9. Find the third derivative of 108*b**2 - 319*b**i - 141*b**6 - 176*b**6 + 57*b**6 wrt b.
-31200*b**3
Suppose 5 + 189 = -2*m. Let p = -51 - m. Find the second derivative of p*o - 23*o + 2*o**2 - 20*o wrt o.
4
Let x(j) = j**2 + 14*j - 70. Let b be x(-18). Find the third derivative of q - 3*q + b*q + 28*q**2 + 18*q**4 + 127*q**4 wrt q.
3480*q
Let p(u) be the third derivative of u**7/210 + 225*u**6/8 - 4021*u**5/60 - 2*u**2 - 90*u. Find the third derivative of p(y) wrt y.
24*y + 20250
Let k(q) be the third derivative of 3907*q**7/210 - 37*q**4/24 - 5*q**3/2 + 2154*q**2. Find the second derivative of k(h) wrt h.
46884*h**2
Let d(c) = 4190*c**2 - 30*c + 4429. Let t(m) = -8376*m**2 + 55*m - 8858. Let r(s) = -11*d(s) - 6*t(s). What is the first derivative of r(w) wrt w?
8332*w