 - 16. What is the second derivative of -6*u - 167*u**3 + 163*u**k - 10*u wrt u?
-24*u
Suppose -144 = -2*v + 4*b, -b = -3*b. Differentiate -260*m + v*m - 22 + 91*m + 12*m with respect to m.
-85
Suppose -11*s - 92 + 147 = 0. Find the first derivative of 2*r + s*r + 20 + 4*r - 26 + 80 wrt r.
11
Suppose 4 = 6*z - 8. Differentiate -84 + 8*b**2 + 60*b**z + 40 - 51 with respect to b.
136*b
Suppose 0 = 37*z - 36*z + 10. Let d be 11 - ((-30)/z - (1 + 1)). What is the derivative of 10*q**2 - d*q**2 + 6*q**3 - 4 wrt q?
18*q**2
Let u(i) = -19*i - 87. Let x be u(-10). What is the second derivative of 146*y**4 - 90*y**4 - 10*y - x*y**4 wrt y?
-564*y**2
Let c be 10/(-210) + (-3590)/(-420). Let k(d) be the first derivative of 2 + 19/3*d**3 - c*d**2 + 0*d. Find the second derivative of k(w) wrt w.
38
Suppose -7*o + 8*o = 8. Let u(a) = 9 - 4 + 2*a + 45*a + 6. Let j(i) = 70*i + 17. Let m(f) = o*u(f) - 5*j(f). What is the derivative of m(s) wrt s?
26
Let z be ((-14)/(-4))/(5/20). Suppose 2 = n - 0, -2*f - 3*n = -z. What is the first derivative of -11 + 15*w**f + 7*w**4 - 12*w**4 wrt w?
40*w**3
Let w(b) = 781*b**2 + 57*b + 563. Let f(j) = -782*j**2 - 65*j - 564. Let n(l) = 7*f(l) + 8*w(l). Differentiate n(a) with respect to a.
1548*a + 1
Suppose -5*d - 4*a = -61, 17*a + 51 = 4*d + 18*a. Differentiate 72 - 5*j + d*j + 6*j + 246 - j wrt j.
13
What is the derivative of -20618924*q + 2895 + 20612214*q + 2702 wrt q?
-6710
Let k(a) = -1027*a**2 + 91*a - 234. Let g(r) = -57*r**2 + 5*r - 13. Suppose -817 - 2 = -9*q. Let o(u) = q*g(u) - 5*k(u). What is the derivative of o(p) wrt p?
-104*p
Suppose -2*m - 4*l + 93 = 13, 117 = 3*m + 5*l. Let o be (-8)/12 + m/6. Differentiate -182*r - 12*r**4 + o - 4*r**4 + 182*r with respect to r.
-64*r**3
Suppose 0 = -5*k - 5, s + 0*k + 3*k = 29. Suppose 5*m = -3*m + s. Find the second derivative of -48 - 6*d + m*d**2 + 25 + 23 wrt d.
8
Let d(p) = -p**3 + p**2 - p - 3. Let q be d(0). Let u be (-36)/(q - 1) + 3*-1. Differentiate 11 + 9*m**2 - u*m + 6*m + 6*m**2 with respect to m.
30*m
Let p be 1436/820 - 4/(-82). Let c(a) be the first derivative of 0*a**4 + 3*a**3 + p*a**5 + 0*a**2 + 0*a + 8. What is the third derivative of c(h) wrt h?
216*h
Let m(p) be the second derivative of 367*p**3 + 554*p**2 + 3*p - 92. Differentiate m(n) wrt n.
2202
Let a(z) = -75*z - 30. Let v(j) = 148*j + 60. Suppose -50*x = -53*x - 15. Let t(h) = x*a(h) - 2*v(h). What is the first derivative of t(i) wrt i?
79
Suppose -1 = -2*a - 0*s + s, -3*a + 2 = -2*s. Suppose a*z - 3*z = -6. Differentiate 9 - 817*q**2 + 817*q**z + 13*q**4 with respect to q.
52*q**3
Let u(x) be the second derivative of -529*x**8/28 + 859*x**4/6 + 608*x. What is the third derivative of u(k) wrt k?
-126960*k**3
Let l(c) = -22341*c**2 + 8*c - 3004. Let g(a) = 14894*a**2 - 5*a + 2000. Let o(t) = -8*g(t) - 5*l(t). What is the first derivative of o(y) wrt y?
-14894*y
Find the first derivative of 2284 + 4809 - 28064*d + 27950*d wrt d.
-114
Let h(l) = -494*l**2 + 15*l - 981. Let o(x) = -247*x**2 + 6*x - 493. Let r(b) = -2*h(b) + 5*o(b). What is the first derivative of r(j) wrt j?
-494*j
Differentiate 1023 - 4983*y - 593 + 1842 + 187 wrt y.
-4983
Let m be (8/(-12))/(30/(-27) + 1). Let i(q) be the first derivative of -m*q**2 + 2 - 6 - 9 - 18*q + 3. Differentiate i(s) with respect to s.
-12
Differentiate 120 + 436*r**2 + 439*r**2 + 376*r**2 - 536 - 73 with respect to r.
2502*r
Let r(o) be the second derivative of 921*o**5/5 - 1289*o**2/2 + 7232*o. Differentiate r(t) with respect to t.
11052*t**2
Suppose -288 = 13*v - 22*v. Find the third derivative of -11*n**2 - 5*n**2 + 12*n**2 + v*n**4 + 36*n**2 wrt n.
768*n
Suppose 0 = 4*k + 5*m + 27, 0*k + m = 2*k + 3. Let a be (-6)/(-15) - (-13)/(-15)*k. Find the third derivative of -16*r**2 + 8*r**6 + 5*r**2 + 3 - a wrt r.
960*r**3
Let g(r) = -r**3 - r**2 + r + 2. Let l(d) = 11*d**3 - 58*d**2 - 7*d + 104. Let q(b) = -5*g(b) - l(b). What is the second derivative of q(w) wrt w?
-36*w + 126
Let f be -6 + (-6 + (-27)/(-4) - (-135)/12). Let c(g) be the first derivative of -1/2*g**2 - f - 2*g. What is the derivative of c(h) wrt h?
-1
Let y(q) = 17 + 4*q**2 - 3*q**3 - 18 + 10 + 11*q. Let g(o) = -6*o**3 + 9*o**2 + 23*o + 19. Let b(n) = 4*g(n) - 9*y(n). Differentiate b(i) wrt i.
9*i**2 - 7
Let o(q) be the third derivative of -q**7/21 + q**6/10 + q**5/15 + q**4/24 - 4303*q**3/6 + 5*q**2 - 6*q - 45. What is the second derivative of o(l) wrt l?
-120*l**2 + 72*l + 8
Let j(o) be the second derivative of -44*o**2 + 161*o - 13/2*o**4 + 0 + 0*o**3 + 1/10*o**5. What is the first derivative of j(u) wrt u?
6*u**2 - 156*u
Suppose -10*h + 58 - 38 = 0. Differentiate 1 - 31*o - 27*o**2 + 64*o**h - 36*o**2 with respect to o.
2*o - 31
What is the third derivative of 9 - 213*l**2 + 147104098*l**4 - 3 - 147102955*l**4 wrt l?
27432*l
Let z = 154 + -152. What is the second derivative of 43*x - 7*x**2 + 20*x**z - 13*x**2 - 56*x**4 wrt x?
-672*x**2
What is the third derivative of 2 - 9 + 27*h**3 + 12*h - 3*h**4 - 103*h**2 - 10*h**6 + 9 - 9*h**2 - 14*h wrt h?
-1200*h**3 - 72*h + 162
Let l(q) be the third derivative of 0*q + 0*q**3 + 0 - 142*q**2 + 55/24*q**4 + 29/20*q**5. What is the second derivative of l(r) wrt r?
174
Let i(w) = 6*w**4 - w**3 + w**2. Let q(c) = -185*c**4 + 3327*c**2. Let o(l) = i(l) + q(l). What is the third derivative of o(j) wrt j?
-4296*j - 6
Let d(j) = -6626*j - 11725. Let w(s) = 13244*s + 23444. Let r(k) = 5*d(k) + 3*w(k). Differentiate r(n) wrt n.
6602
Suppose -12 = -4*l + z + 89, 73 = 3*l + 2*z. Differentiate 91*x + 202 + l - 217*x wrt x.
-126
Let y = 1/6539 - -98083/13078. Let f(n) be the second derivative of 0 - y*n**2 + 0*n**3 + 10*n - 13/10*n**5 + 0*n**4. What is the derivative of f(m) wrt m?
-78*m**2
Let l(x) be the second derivative of x**7 - 1/12*x**4 + 0*x**5 + 21*x + 0*x**2 + 0*x**6 + 0 + 14/3*x**3. Find the second derivative of l(k) wrt k.
840*k**3 - 2
Let j(a) = -a + 48. Let k be j(14). Let p = k + -33. Find the first derivative of 3 - 2 + 9 - 7*c - p wrt c.
-7
Let t(l) be the second derivative of 4027*l**3/6 + 4175*l**2/2 + 112*l + 5. What is the derivative of t(j) wrt j?
4027
Let r(g) = 4*g**2 + 0*g - 9 - 3*g - 3*g + g**2. Let i be r(-5). Find the second derivative of -i*d**2 - 16*d + 24*d**3 + 146*d**2 wrt d.
144*d
Let s(r) be the second derivative of 899*r**4/6 + 221*r**3/2 - 12*r + 23. Find the second derivative of s(t) wrt t.
3596
Let y be 2 + 4*(-2)/(-4). Let x be (16/6)/y*2085. Find the second derivative of x*r**3 - 1390*r**3 + 19*r**4 - 7*r wrt r.
228*r**2
What is the second derivative of 843*m**4 - 424*m**3 + 424*m**3 + 3*m + 71 wrt m?
10116*m**2
Suppose 0 = -2*y - 2*n - n - 149, -2*n = -2*y - 124. Let q = y + 76. Find the first derivative of 4451*a**2 - 4451*a**2 + 7*a**4 + q wrt a.
28*a**3
Let t be ((-10)/(-3))/(4*(-6)/(-72)). Suppose -3*u = -2*j - 6 + 2, 4*u = -2*j + t. Find the second derivative of 0*v - 26*v**2 + 6*v**u + 7*v - 6*v**2 wrt v.
-52
Differentiate 124*a**2 + 393*a**2 + 532*a**2 + 7644 - 4*a**3 - 126*a**2 with respect to a.
-12*a**2 + 1846*a
Let t = 328 + -321. Let x(m) = 16*m**2 + 15*m + 224. Let i(r) = 24*r**2 + 22*r + 336. Let l(g) = t*x(g) - 5*i(g). What is the derivative of l(c) wrt c?
-16*c - 5
Let z be 30/(-20)*(-4)/3. Find the third derivative of 3*o**3 + 29 - 29 - 18*o**z - 8*o**3 wrt o.
-30
Suppose 0 = -5*v - 4*z + 50, 48 - 34 = -v + 4*z. What is the third derivative of -2*r**3 + 13*r**3 + v + 11*r**3 - 60*r**5 - 20*r**3 - r**2 wrt r?
-3600*r**2 + 12
Let l(r) = 3991*r - 9805. Let t(v) = 1997*v - 4897. Let d(w) = -6*l(w) + 11*t(w). Differentiate d(n) with respect to n.
-1979
Let m(d) = -d**2 + 17*d + 42. Let p be m(19). Find the third derivative of 25*y**4 - 51*y**p + 91*y**2 - 70*y**4 wrt y.
-2304*y
Find the second derivative of -72906 - r + 3*r + 250*r**2 + 3065*r**2 + 72234 wrt r.
6630
Let p(q) be the first derivative of 1/2*q**4 - 154/3*q**3 + 0*q + 8/5*q**5 - 37 + 0*q**2. What is the third derivative of p(d) wrt d?
192*d + 12
Let m be (-2)/(-4)*1*4. Suppose x + 4*g = -x + 4, 4 = 2*x - m*g. Find the first derivative of -4 - 9*h**2 + h**2 + 4*h**x wrt h.
-8*h
Let b(a) be the first derivative of 2731*a**2/2 + 2710*a - 2632. What is the first derivative of b(c) wrt c?
2731
Let f(a) = 40*a + 265. Let b(x) = 122*x + 794. Supp