6 - p + 7*c**4 - 7*c wrt c?
84*c**2
What is the third derivative of 0*n + 202*n**3 + 2*n + 21*n**2 - 2*n + 65*n**2 wrt n?
1212
Suppose -4*o + p - 23 = 0, -o + 3*p - 3 = -0*o. Let d(q) = 11*q**2 - 6*q + 13. Let m(k) = 2*k**2 + k. Let z(c) = o*m(c) - d(c). Differentiate z(h) wrt h.
-46*h
Let d(t) be the second derivative of t**7/21 - 6*t**5/5 + 259*t**4/12 - 331*t. What is the third derivative of d(u) wrt u?
120*u**2 - 144
Suppose -130 = -5*n + 2*v, 0*n + n - 9 = -3*v. Find the third derivative of -17*d**6 + 9*d**6 - 12*d**2 + n*d**5 + 6*d**6 - 20*d**2 wrt d.
-240*d**3 + 1440*d**2
Let q(h) = -88*h**2 - 5*h + 2810. Let s(y) = 20*y**2 + y - 703. Let g(t) = 2*q(t) + 9*s(t). Differentiate g(b) with respect to b.
8*b - 1
Let w(c) = 137*c**4 + 5*c**3 + 5*c - 520. Let f(y) = 139*y**4 + 6*y**3 + 6*y - 520. Let n(g) = -5*f(g) + 6*w(g). Find the first derivative of n(x) wrt x.
508*x**3
Suppose 0 = -2*x + 14 - 2. Let o(i) = -31*i + 26. Let k(m) = -10*m + 9. Let n(b) = x*o(b) - 17*k(b). Find the first derivative of n(r) wrt r.
-16
Let r(t) be the first derivative of 2*t**5/5 + 4*t**3 + 135*t + 119. Differentiate r(z) wrt z.
8*z**3 + 24*z
Let j(l) = l**2 + 5*l + 3. Let p be j(-5). Suppose 2*g + 0*g = p*f + 17, -2*g + f = -11. Find the first derivative of 4*a**4 - a**4 - g + 3 - 1 wrt a.
12*a**3
Let w(j) = j**4 - j**3 + j - 1. Let a(x) = -189*x**4 + 14*x**3 - 14*x + 140. Let m(t) = a(t) + 14*w(t). What is the first derivative of m(o) wrt o?
-700*o**3
Suppose -7*h - p = -2*h - 144, -5*h = -4*p - 149. Let m = h + -23. Find the second derivative of -x**2 + x**2 + m*x + 74*x**3 - 68*x**3 wrt x.
36*x
Let c(q) be the third derivative of -31*q**7/210 + q**6/30 + 49*q**5/60 - q**3/3 - 3*q**2 - 63*q. Find the third derivative of c(f) wrt f.
-744*f + 24
Let m(n) be the third derivative of 0*n**4 + 0*n**7 - 1/21*n**8 + 1/60*n**5 + n**2 + 0 + 0*n + 0*n**3 + 0*n**6. Find the third derivative of m(x) wrt x.
-960*x**2
Find the second derivative of -740*z - 3*z**3 + 741*z + 76*z**4 + 3*z**3 wrt z.
912*z**2
What is the third derivative of 178 + t**2 - 17*t**4 + t**4 - 186 + 3*t**2 wrt t?
-384*t
Let y = -14 + 27. Find the second derivative of y*f + 0*f - f - 10*f**4 - f wrt f.
-120*f**2
Let y(t) = 6*t**4 - 74*t**3 - t + 14. Let f(m) = 8*m**4 - 75*m**3 + m + 14. Let h(b) = 7*f(b) - 8*y(b). What is the second derivative of h(u) wrt u?
96*u**2 + 402*u
Suppose -13*v - 2*v + 30 = 0. Let t(m) be the second derivative of 7/30*m**6 + 0*m**4 + 0*m**5 + 4*m + 0 + 5/2*m**v + 0*m**3. Differentiate t(k) wrt k.
28*k**3
Suppose -i = -5*w - 38, w + 5 = 4*i - 14. Let n be (-16)/w + 8/(-28). Find the third derivative of -51*h + 6*h**3 + 51*h - h**n wrt h.
36
What is the third derivative of -284*w**4 + 6 + 33*w**2 - 5 + 272*w**4 wrt w?
-288*w
Let y(m) be the second derivative of 3/4*m**4 - 4*m + 0 + 1/10*m**6 + 0*m**2 + 0*m**5 + 0*m**3. Find the third derivative of y(t) wrt t.
72*t
Let i(v) be the first derivative of v**8/336 - v**6/36 - 10*v**3/3 - 4. Let q(a) be the third derivative of i(a). What is the third derivative of q(d) wrt d?
120*d
Suppose 10*k = 8*k + 28. Find the second derivative of 768 - 768 + k*d + 2*d**5 wrt d.
40*d**3
What is the first derivative of -177*o + 44 + 12*o + 33 + 30*o - 17 wrt o?
-135
Suppose 0 = y - 3*y. Suppose 0 = -y*z - z + 3. Differentiate -2*t**3 + 2 + 1 - z*t**3 wrt t.
-15*t**2
Let p(h) be the first derivative of 7*h**6/3 - 2*h**5/5 + 25*h**2 + 91. Find the second derivative of p(v) wrt v.
280*v**3 - 24*v**2
Let b(s) = -2*s**2 + 39*s - 27. Let a be b(18). Find the second derivative of a*x**4 - 8*x**4 + 4*x**4 + 9*x**4 - 9*x wrt x.
384*x**2
Find the third derivative of -3*u**3 - 45*u**4 + 6*u**3 - 103*u - 89*u + 192*u + 135*u**2 wrt u.
-1080*u + 18
Let w(y) = -595*y**3 + 476*y**2 - 17. Let f(b) = 99*b**3 - 79*b**2 + 3. Let d(i) = -17*f(i) - 3*w(i). What is the third derivative of d(l) wrt l?
612
Suppose -7*g - 7 = -i - 2*g, -3*g = -4*i + 11. Differentiate -14 + 54 - 97 + i*y with respect to y.
2
Let u = -46/93 - -36/31. Let t(c) be the third derivative of 0*c + 0 - 1/15*c**5 + 4*c**2 + 0*c**4 + u*c**3. Differentiate t(y) with respect to y.
-8*y
Let q(p) be the third derivative of -21*p**4/4 + 247*p**3/6 - 120*p**2. Find the first derivative of q(l) wrt l.
-126
Suppose -s + 5 - 12 = q, 3*s - 2*q + 31 = 0. Let w be -12*2*3/s. What is the second derivative of -4*x + w*x - 5*x**5 - 2*x**5 wrt x?
-140*x**3
Let w = -2027 - -2033. Let v(j) be the first derivative of 0*j**4 + 0*j + 0*j**5 - 11 + 8/3*j**3 + 0*j**2 + 1/6*j**w. Find the third derivative of v(b) wrt b.
60*b**2
Suppose 2*i - 7 - 47 = 0. Suppose i = 2*f + 3*k, 0 = 7*f - 2*f + 3*k - 45. What is the third derivative of -4*w**6 - 2*w**2 - 2*w**f + 9*w**2 wrt w?
-720*w**3
Let w = 25 - 22. Find the second derivative of -21*x - 204*x**2 + 29*x**w + 204*x**2 wrt x.
174*x
Let x(c) be the second derivative of -20*c**4/3 - 31*c**2/2 - 5*c + 2. Differentiate x(d) wrt d.
-160*d
Let x(o) = -4*o - 75. Let a be x(-20). Let b(z) be the first derivative of -6/5*z**5 + 0*z**4 - a*z - 6 + 0*z**2 + 0*z**3. What is the derivative of b(p) wrt p?
-24*p**3
Let j(n) be the second derivative of n**8/28 - n**5/20 - n**4/6 + 47*n**2/2 + 116*n. Find the third derivative of j(s) wrt s.
240*s**3 - 6
Let n(p) be the second derivative of p**3 + 0 - 46*p + 1/2*p**4 + 3*p**2. What is the second derivative of n(h) wrt h?
12
Let b(m) be the third derivative of -103*m**5/30 + m**4/24 - 139*m**3/2 - 23*m**2 + 2. Differentiate b(k) wrt k.
-412*k + 1
Let z(q) = -109*q**2 + 98*q. Let a(w) = -326*w**2 + 294*w. Let h(v) = 4*a(v) - 11*z(v). Find the second derivative of h(d) wrt d.
-210
Suppose 0 = -3*a - 3*u + 390, -a - 12*u + 7*u = -126. Let p be (-10)/(-6) - 1/(-3). What is the third derivative of 8*x**6 + 131 - a - 14*x**p wrt x?
960*x**3
What is the second derivative of -86*h + 16*h**5 - 15*h - 5*h**3 + 13*h**3 - 10*h**3 wrt h?
320*h**3 - 12*h
Let u(w) be the first derivative of -52*w**5/5 - 7*w**3/3 + 150. What is the third derivative of u(d) wrt d?
-1248*d
Let x(v) be the third derivative of v**8/168 + 16*v**6/3 + 49*v**5/6 + 99*v**2. What is the third derivative of x(o) wrt o?
120*o**2 + 3840
Let i(u) be the third derivative of 0*u + 0*u**7 - 3/56*u**8 + 1/12*u**5 + 15*u**2 + 0*u**4 + 0*u**6 + 0*u**3 + 0. What is the third derivative of i(p) wrt p?
-1080*p**2
Suppose -4*c - 5*u = -0*c - 12, -28 = -3*c + u. Let o(x) = x - 6. Let z be o(c). What is the second derivative of 0*t - z*t + 4*t**3 - 3*t + 8*t wrt t?
24*t
Find the second derivative of -19 - 21 + 87*o**3 + 42 - 8*o wrt o.
522*o
Let r(q) = 5760*q**4 + 129*q**2 + 39*q - 9. Let m(k) = -576*k**4 - 13*k**2 - 4*k + 1. Let v(j) = -39*m(j) - 4*r(j). Find the third derivative of v(b) wrt b.
-13824*b
Suppose -11*f + 15*f - 44 = 0. What is the third derivative of f*o**2 + 10*o**2 - 8*o**2 - 8*o**3 + 23*o**2 wrt o?
-48
Let g(r) be the first derivative of 19*r**4/24 - 8*r**3/3 + 3*r**2/2 - 8. Let p(b) be the second derivative of g(b). Differentiate p(t) with respect to t.
19
Suppose 0*i + i - 18 = 3*z, 5*z = -5*i + 70. What is the second derivative of 49*a + 4*a - i*a + 25*a**4 wrt a?
300*a**2
Find the third derivative of 21*s**2 + 802*s - 799*s + 13*s**2 + 565*s**6 wrt s.
67800*s**3
Suppose 2*t + 3*k + 12 = 6*k, 5*t + 8 = 2*k. Find the second derivative of -5*b + 3*b**4 + t*b**4 - 6*b**4 wrt b.
-36*b**2
Let a(v) = v**3 - 7*v**2 + 7*v + 2. Let x be (-84)/(-15) - (-2)/5. Let r be a(x). Find the second derivative of 14*t - r*t + 5*t**2 - 4*t wrt t.
10
Let l(u) = -u**3 + 10*u**2 - 9*u + 2. Let o be l(9). Suppose -13*y + 3*y = -40. What is the second derivative of -o*p + 3*p**5 + 4 - y - 13*p**5 wrt p?
-200*p**3
Let o(i) be the second derivative of -13*i**7/21 - 5*i**4/4 + 22*i - 4. Find the third derivative of o(t) wrt t.
-1560*t**2
Let s(w) be the third derivative of -71*w**6/60 + 7*w**4/6 - w**3/6 + 8*w**2 - 2. What is the second derivative of s(n) wrt n?
-852*n
Let k = -15 - -23. Let b(c) = -c**2 + 7*c + 11. Let q be b(k). What is the second derivative of 8*t + q - 3 - 7*t**4 wrt t?
-84*t**2
Let n(t) = -29*t**2 + 2*t - 40. Let q(o) = 14*o**2 - o + 21. Let i(b) = 3*n(b) + 5*q(b). Differentiate i(s) wrt s.
-34*s + 1
Let o = 1 - -4. Let h be (27/(-6))/((-9)/12). Find the second derivative of h*v +