*2 - 12*w + w wrt w?
4
Find the third derivative of 313*j**3 - 214*j + 6109 - 6109 - 2*j**2 wrt j.
1878
Suppose -10 - 40 = -10*h. What is the third derivative of u**2 + 85*u**h - 95*u**5 - 11*u**2 wrt u?
-600*u**2
What is the third derivative of 66*d**2 + 3*d**5 + 142*d**2 + 169*d**5 wrt d?
10320*d**2
Let t(r) be the first derivative of -r**6/180 - r**5/40 + 10*r**3/3 + 10. Let q(y) be the third derivative of t(y). Find the second derivative of q(n) wrt n.
-4
Suppose -i - t + 5 = 0, -2*t - 2 = -i - 0*t. Find the second derivative of -13*g**4 - 171*g - 5*g**i + 141*g wrt g.
-216*g**2
Let x(w) = -134*w**5 - 3*w**3 + 21*w - 1. Let i(z) = -401*z**5 - 8*z**3 + 62*z - 4. Let t(g) = -3*i(g) + 8*x(g). What is the second derivative of t(p) wrt p?
2620*p**3
Let d(z) = 13*z**5 + 182*z**4 + 19*z**2 + 8. Let f(a) = -5*a**5 - 61*a**4 - 6*a**2 - 3. Let w(x) = -3*d(x) - 8*f(x). Find the third derivative of w(s) wrt s.
60*s**2 - 1392*s
Let y(t) = 10*t - 25. Let l(b) = b. Let q = -11 + 8. Let p(r) = q*l(r) - y(r). Find the first derivative of p(x) wrt x.
-13
Let p(i) = -i**3 - 3*i**2 - 4*i - 2. Let y be p(-2). Let u(o) be the second derivative of -2*o - 4*o + o**3 + 2*o**y - 2*o + o. Differentiate u(t) wrt t.
6
Differentiate -55*h + 70*h + 407*h - 47*h + 139*h - 297 with respect to h.
514
Find the third derivative of -98*o**2 + 100*o**2 + 287*o**3 + 63 - 15 + 12*o**3 wrt o.
1794
Let v(q) = -12*q**2 + 209*q + 189. Let s(y) = -7*y**2 + 105*y + 94. Let x(r) = -7*s(r) + 4*v(r). Differentiate x(p) wrt p.
2*p + 101
Let u be ((-1)/(-2))/(15/(-360)). Let s = u + 16. What is the third derivative of 131 + 2*t**2 - 2*t**s - 131 wrt t?
-48*t
Let y(t) = -62*t**2 + 2*t + 10. Let z(b) = -62*b**2 + 3*b + 9. Let a(x) = -4*y(x) + 3*z(x). What is the second derivative of a(f) wrt f?
124
Let r(i) be the third derivative of i**5/60 + 7*i**4 - 277*i**3/6 - 509*i**2 + 2. What is the derivative of r(o) wrt o?
2*o + 168
Suppose 15 = 2*i + v - 2, 4*i - 43 = -5*v. Let w(f) = 5*f. Let q be w(1). What is the second derivative of 14*r - 16*r - i*r + 6*r**q wrt r?
120*r**3
What is the second derivative of -9*h - 2*h**3 + 45 + h - 36 + 13*h**2 + 11*h wrt h?
-12*h + 26
Let n(i) be the third derivative of -5*i**9/63 + 19*i**5/15 + 62*i**2. What is the third derivative of n(d) wrt d?
-4800*d**3
Let b(i) be the third derivative of 0*i**5 + 0 + 11*i**2 + 0*i + 0*i**3 + 0*i**7 + 0*i**6 - 1/24*i**4 + 1/56*i**8. What is the second derivative of b(x) wrt x?
120*x**3
Suppose -2*h + 5*h = 12. Suppose -h = 2*p - 2*t - 0, -2*t + 4 = 0. Differentiate -3*w - 2*w + p*w - 5 + w wrt w.
-4
Let o(x) = x**2 - 188*x + 216. Let h(y) = -y + 2. Let t(r) = 2*h(r) - o(r). Differentiate t(v) with respect to v.
-2*v + 186
Let c(d) be the third derivative of 8*d**7/105 - 47*d**3/3 + 108*d**2. What is the derivative of c(i) wrt i?
64*i**3
Let t be (6/(-18))/((-3)/9). Let p(n) = -14*n + 2. Let a(y) = 1. Let b(k) = t*a(k) + p(k). Differentiate b(j) wrt j.
-14
Let m(f) be the third derivative of -5*f**8/84 - f**6/24 - 32*f**4/3 + 2*f**2 - 31. What is the second derivative of m(r) wrt r?
-400*r**3 - 30*r
What is the derivative of -91 + 60 - 296*a**4 + 10 wrt a?
-1184*a**3
Let h be 2 - -2 - (-5 + 1 + 1). Let t(s) = -26*s + 26. Let f(b) = 25*b - 26. Let r(y) = h*t(y) + 6*f(y). Differentiate r(k) wrt k.
-32
Let c(k) be the first derivative of k + 8*k**5 - 14*k**5 + 7*k**5 - 8. Differentiate c(m) with respect to m.
20*m**3
Suppose 3*q - 4*u - 9 = -3, -4*u = 0. What is the second derivative of -16*m**q + 17*m + 3*m**2 - m**2 - 4*m**2 wrt m?
-36
Suppose 0 = -2*x - 3*f, 3*f = f. Suppose -c + 2*z + 7 = x, 5 = -2*c + 5*z + 19. Find the first derivative of 3*v - 2 - v + c + v wrt v.
3
Let p(a) = a**4 - a**2 - a + 1. Let t(r) = -6*r**5 + r**4 - 73*r**2 + 2*r - 2. Let q(g) = -2*p(g) - t(g). Find the third derivative of q(u) wrt u.
360*u**2 - 72*u
Differentiate 111*l**3 - 57*l**3 - 13*l**2 - 21 - 10 - 56*l**3 with respect to l.
-6*l**2 - 26*l
Let f be 1 - (-1)/(2/(-48)). Let s = f + 26. Find the second derivative of -7*d - 86*d**3 + 74*d**s - 2*d wrt d.
-72*d
Let j(t) be the second derivative of -27/20*t**5 + 0 + 27*t + 0*t**3 + 29/12*t**4 + 0*t**2. Find the third derivative of j(v) wrt v.
-162
Let o(z) = 1. Suppose 2*h + 3*h = 10. Let l(t) = 13*t**2 - 13*t**2 - h - 8 + 12*t**3. Let u(y) = l(y) + o(y). What is the derivative of u(m) wrt m?
36*m**2
What is the first derivative of 3 - 146*r**4 + 20*r**4 - 83 wrt r?
-504*r**3
Let k(x) = 100*x + 94. Let t(h) = -h. Let z(i) = 23*i + 19. Let u(m) = 3*t(m) + z(m). Let v(l) = -2*k(l) + 11*u(l). Differentiate v(j) wrt j.
20
Find the first derivative of 125*z**2 - 62*z**2 + 42 + 37 - 11 wrt z.
126*z
Let a(r) = -11*r**2 + 1096*r - 1138. Let s(p) = -5*p**2 + 550*p - 570. Let z(v) = 6*a(v) - 13*s(v). Differentiate z(n) with respect to n.
-2*n - 574
Suppose 3*t = -4*t + 28. What is the second derivative of 3*p + 2*p - 13*p - 11*p**t wrt p?
-132*p**2
Suppose 8*i - 3*i - 15 = 0. Suppose -4*p = -12, 0*c = i*c - p - 12. Find the third derivative of 4*u**c + 2*u**2 - u**5 + 0*u**2 wrt u.
180*u**2
What is the third derivative of 94*l**4 - l**3 + 109*l**2 + l**3 - 183*l**2 wrt l?
2256*l
Let g = -85 - -87. Find the second derivative of 8*n**g + 5*n + 13*n**2 + 5*n wrt n.
42
Let b(d) be the second derivative of 131*d**6/30 - d**5/10 - 221*d**4/12 - 120*d. Find the third derivative of b(z) wrt z.
3144*z - 12
Let y(l) be the first derivative of -l**5/5 - 4*l**3/3 - 3*l**2/2 + 14*l - 71. What is the second derivative of y(x) wrt x?
-12*x**2 - 8
Suppose -4*w = -2*t - 20, -12 = -4*w + w. Let i be (5 - t) + (-18)/6. Find the first derivative of 2*g**4 + 5*g**i - 1 - 3 - 2*g**4 wrt g.
20*g**3
Let o(p) = -p**3 - 5*p**2 - 5*p - 5. Let w be o(-5). Differentiate 7 - w*n - 4 + 2 wrt n.
-20
Let d(l) be the first derivative of 191*l**4/4 + 94*l + 189. Differentiate d(j) with respect to j.
573*j**2
Let a(c) be the third derivative of -23/120*c**6 - 5*c**2 + 1/4*c**5 + 0*c**3 + 0 + 0*c + 0*c**4. Find the third derivative of a(j) wrt j.
-138
Let h(l) be the third derivative of -l**7/10 - l**6/60 - 73*l**3/6 + 2*l**2 + 3. Differentiate h(b) wrt b.
-84*b**3 - 6*b**2
Find the first derivative of 4 + 38 - 85*i - 22*i wrt i.
-107
Let y(i) = 13*i**2 + 3*i - 1. Let c(m) = -1 + 2 + 18*m + 15*m - 13*m**2 - 35*m. Let d(t) = -3*c(t) - 2*y(t). What is the derivative of d(w) wrt w?
26*w
Let q(f) = -102*f**4 - 2*f**3 - 5*f**2 + 521*f - 10. Let k(a) = -a**3 - a**2 + a - 2. Let t(l) = 5*k(l) - q(l). Find the second derivative of t(n) wrt n.
1224*n**2 - 18*n
Suppose 2*f - 4*t = 51 - 9, 3*f - 35 = -t. Find the second derivative of -f*d**4 + 362*d**2 - d - 362*d**2 wrt d.
-156*d**2
Let j(y) = -y**3 + 3*y**2 + 6*y - 5. Let z be j(4). Differentiate -8 - 5*u**4 + 2 + 0*u**4 - z*u**4 with respect to u.
-32*u**3
Suppose 469 = 31*g + 36*g. Let h(f) be the first derivative of 0*f + 0*f**3 + 0*f**4 + 7/5*f**5 + g + 2*f**2. What is the second derivative of h(p) wrt p?
84*p**2
Let r = -50 + 54. What is the second derivative of -24*h + 3*h**r - 14*h**5 - 12*h**4 + 9*h**4 wrt h?
-280*h**3
Find the second derivative of 799 + 9*t**2 - 393 - 5*t**5 - t - 398 wrt t.
-100*t**3 + 18
Let p(w) be the first derivative of 11*w**6/60 - 19*w**3/6 - 7*w**2 + 11. Let i(k) be the second derivative of p(k). Differentiate i(x) with respect to x.
66*x**2
Let r(d) be the first derivative of -161*d**3/3 + 7*d**2/2 - 2*d - 127. Find the second derivative of r(u) wrt u.
-322
Let g(q) be the third derivative of 0*q**6 + 0*q + 0 + q**3 + 7*q**2 + 0*q**5 - 1/210*q**7 + 0*q**4. Differentiate g(p) with respect to p.
-4*p**3
Let b(n) = -n**2 - 4*n + 14. Let g be b(-6). Find the second derivative of -176*o**2 + 176*o**2 - g*o - 8*o**4 wrt o.
-96*o**2
Let x(s) be the third derivative of -s**5/30 + 49*s**4/24 - 29*s**3/2 - 84*s**2. What is the derivative of x(d) wrt d?
-4*d + 49
Let h(r) = 240*r**3 + 62*r - 1. Let j(i) = i**3 - 3*i. Let u(q) = h(q) + 6*j(q). What is the second derivative of u(o) wrt o?
1476*o
Let h(n) be the second derivative of 19*n**4/6 + n**3/6 - 4*n**2 + 648*n. What is the second derivative of h(g) wrt g?
76
Suppose -4*a = 30 - 142. Differentiate -a - 8*d**3 + 51 - 3*d**3 with respect to d.
-33*d**2
Let y(m) be the first derivative of -m**6/90 + m**4/4 - 25*m**3/3