x
Let o be 28/((-4)/1)*-1. What is the first derivative of 13*r**4 + 2*r**2 + o - 19 - 2*r**2 wrt r?
52*r**3
Suppose c - 4 + 3 = 0. Suppose -7 = -2*q - c. What is the second derivative of 6*t + t + 4*t**q - 2*t wrt t?
24*t
Let b(n) be the third derivative of n**5/15 - 5*n**4/12 - 4*n**3/3 + 2*n**2. Let q(x) be the first derivative of b(x). Differentiate q(r) wrt r.
8
Let i(t) be the second derivative of -t**8/56 + 12*t**5/5 - t**4/12 + 41*t**3/3 - 65*t. Find the third derivative of i(u) wrt u.
-120*u**3 + 288
Suppose -17 = -2*a - 2*a - q, 5*a = -3*q + 30. Differentiate 13*d + 27*d**2 + a*d - 16*d + 34 with respect to d.
54*d
Suppose 5*p - 2*p - 58 = 5*m, 5 = -m. What is the second derivative of 73*w**4 + p*w + 7*w - 66*w**4 wrt w?
84*w**2
Let g(w) = w**2 + 3*w + 5. Let u be g(-3). Differentiate -3 + 7*d**2 + 9 - u wrt d.
14*d
Suppose -6*j - 56 = -194. Find the second derivative of 5*s - j*s**5 + 15*s + 67*s**5 wrt s.
880*s**3
What is the third derivative of 45*z**2 - 60*z**3 + 84*z**3 - 29*z**2 + 37*z**2 - 3*z**6 wrt z?
-360*z**3 + 144
Let q(i) be the first derivative of 51*i**4/4 - 3*i**2/2 + 12*i - 304. What is the second derivative of q(r) wrt r?
306*r
Find the third derivative of 45 - k**2 + 43 + 20*k**4 - k**4 - 14 wrt k.
456*k
What is the third derivative of -o**2 - 67*o**6 + 3*o**4 + 163*o**6 - 3*o**4 - 16*o wrt o?
11520*o**3
Suppose 4*l - 4 - 8 = 0. Find the second derivative of -7*o - 25*o**2 + 25*o**2 + 21*o**3 - l*o wrt o.
126*o
Let m(w) be the first derivative of w**8/28 + 7*w**5/30 + 6*w**2 + 8. Let c(n) be the second derivative of m(n). What is the third derivative of c(y) wrt y?
720*y**2
Let x(t) be the third derivative of 25*t**5/12 + 35*t**3/3 + 64*t**2. Find the first derivative of x(q) wrt q.
250*q
Let m(w) = w**3 + 27*w**2 - 272*w - 8. Let i(v) = v**3 + 26*v**2 - 272*v - 10. Let p(a) = 4*i(a) - 5*m(a). Find the second derivative of p(f) wrt f.
-6*f - 62
Let j(q) be the second derivative of -145*q**7/42 - q**5/10 + 51*q**4/4 - q + 6. Find the third derivative of j(w) wrt w.
-8700*w**2 - 12
Let v(p) = -13*p + 1. Let o(u) = -665*u - 627. Let l(d) = -o(d) + 6*v(d). Differentiate l(a) wrt a.
587
Let i(z) = z**2 - 2*z - 1. Let p be i(3). Suppose 2*v + 8 = -p*v, 4*g - 3*v - 14 = 0. Differentiate 3 - 10*d**3 - 4 + 8*d**3 - g with respect to d.
-6*d**2
Let h(o) = -2*o**3 - o**2 + 3*o + 3. Let r be h(-2). Suppose 19 = 5*s + r. Find the third derivative of 175 - 175 - 2*g**4 - 3*g**s wrt g.
-48*g
Suppose -2*w + 53 = -0*w + a, -3*a = 3. Let m be 1 + 4 + (-3 - -1). Find the second derivative of 6*t**4 + w + m*t - 27 + t wrt t.
72*t**2
Let u(p) be the second derivative of -8*p**7/7 + 40*p**3/3 + 2*p + 22. What is the second derivative of u(g) wrt g?
-960*g**3
Let z(r) = -191*r**4 + 17*r**3 - r + 14. Let b(k) = -64*k**4 + 6*k**3 + 4. Let t(a) = 17*b(a) - 6*z(a). What is the second derivative of t(j) wrt j?
696*j**2
Let b(h) be the second derivative of 47*h**5/5 + 8*h**4/3 + 3*h**2/2 - h + 5. Find the third derivative of b(r) wrt r.
1128
Let c(z) be the third derivative of 0*z**4 - z**2 + 0 + 0*z - 19/6*z**3 - 7/60*z**5. What is the derivative of c(g) wrt g?
-14*g
Let i(f) be the second derivative of 0*f**6 + 0*f**5 + 0*f**2 + 0*f**7 - 29*f + 0 + 0*f**3 - 1/4*f**8 + 5/3*f**4. Find the third derivative of i(m) wrt m.
-1680*m**3
Let v(y) = y**2 - 2*y - 6. Let t be v(-5). Suppose t*c - 34*c = -15. What is the third derivative of 1045*q**3 - 1045*q**3 + 9*q**4 + c*q**2 wrt q?
216*q
Let d be -2 - (-1)/1 - -11. Suppose 3*i + 8 = 2*i + 4*q, 2*i + 5*q - d = 0. Differentiate 2 + i*m**4 + 8*m**4 - 9 wrt m.
32*m**3
Let o(s) be the third derivative of 0 - 19/60*s**5 - 31/210*s**7 + 0*s + 0*s**4 + 28*s**2 + 0*s**6 + 0*s**3. Find the third derivative of o(d) wrt d.
-744*d
Suppose 0*m - 17 = -4*p + m, p + 3*m + 12 = 0. Let n = -123 - -174. What is the derivative of -7 + p*q**4 - 51*q + n*q wrt q?
12*q**3
Suppose 0 = x - 5*o + 10, -5*o + 2 = 5*x - 8. Let p(w) be the first derivative of 1/4*w**4 + x*w**3 + 0*w**2 - 7*w + 8. Differentiate p(d) with respect to d.
3*d**2
Differentiate 512*z**2 - 3*z**3 + 112 - 32 - 516*z**2 wrt z.
-9*z**2 - 8*z
Let a(r) = 475*r**3 + 314*r**2 - 4*r + 1. Let c(n) = -950*n**3 - 625*n**2 + 7*n - 2. Let y(j) = -7*a(j) - 4*c(j). Find the third derivative of y(w) wrt w.
2850
Let n(x) be the second derivative of -3*x - 3/2*x**3 - 11/2*x**2 + 0. Differentiate n(t) with respect to t.
-9
Let t(x) be the second derivative of -5/4*x**4 + 0 - 9*x**2 + 7*x + 0*x**3. Differentiate t(s) wrt s.
-30*s
Let p(g) be the third derivative of 8*g**5/3 + 85*g**4/24 - 21*g**2. What is the second derivative of p(h) wrt h?
320
What is the second derivative of -59*f**5 - 55*f**5 - 159753*f**3 + 156*f + 159753*f**3 wrt f?
-2280*f**3
Find the third derivative of 35*w**3 - 7*w**4 + 22*w**4 - 9*w**4 - 4*w**4 - 70*w**2 wrt w.
48*w + 210
Let r be (14/8)/((-2)/8). Let d = r - -12. What is the derivative of -d + b**4 + 1 + 4*b**4 wrt b?
20*b**3
Let t(p) be the third derivative of -23*p**6/120 + p**5/20 - p**4/8 - p**3/2 - 6*p**2 + 14*p. What is the second derivative of t(x) wrt x?
-138*x + 6
Let o(f) = 19*f - 1. Let b be ((-3)/(-6))/(7/(-56)). Let h(q) = -38*q + 1. Let x(s) = b*h(s) - 7*o(s). Find the first derivative of x(m) wrt m.
19
Suppose -2*o - 20 = 10. Let a be 3 + 1 - (10 + o). What is the second derivative of -a*g + 2*g - 8*g**5 + g wrt g?
-160*g**3
Let x(q) = 179*q**2 - 24*q - 150. Let d(u) = -u**2 + 4*u + 1. Let v(p) = 6*d(p) + x(p). Find the first derivative of v(o) wrt o.
346*o
Let c(r) = r**2 + 5*r + 5. Let v be c(-5). What is the third derivative of -2*q + 2*q - 5*q**2 - 17*q**v - q**2 wrt q?
-1020*q**2
What is the third derivative of -3*b**6 + 10*b + 13*b**6 + 0*b**2 - 180*b**6 - 6*b - 2*b**2 wrt b?
-20400*b**3
Let t(u) be the second derivative of 0*u**5 - 37*u + 7/3*u**3 + 0 + 0*u**2 + 0*u**4 - 7/6*u**6. What is the second derivative of t(q) wrt q?
-420*q**2
Find the third derivative of -6*u + 2*u + 20*u**2 + 94*u**5 - 12*u**2 wrt u.
5640*u**2
Let w(z) be the first derivative of 0*z**3 - 9/4*z**4 + 0*z**2 - 10 + 15*z. Differentiate w(r) with respect to r.
-27*r**2
Differentiate -164*l**2 + 50 - 5 + 181*l**2 + 408*l**2 with respect to l.
850*l
Let q(b) = -12*b + 8. Let h be q(-3). What is the first derivative of -h*l**4 + 62 - 27 + 6*l**4 wrt l?
-152*l**3
Let h(y) be the third derivative of 2*y**7/21 + 11*y**6/120 - 212*y**3/3 - 801*y**2. Differentiate h(m) with respect to m.
80*m**3 + 33*m**2
Let f(m) be the second derivative of -85*m**3/3 + 4*m**2 + 2*m + 24. Differentiate f(j) with respect to j.
-170
Let f(n) be the third derivative of 0*n**4 - 7/60*n**5 - 1/10*n**6 + 0*n**3 - 10*n**2 + 0 + 0*n. Find the third derivative of f(g) wrt g.
-72
Let p(d) = -5*d**3 - 2*d - 1. Let q be p(-1). Suppose -q*f + 6 = -4*f. Find the first derivative of 3*w**3 - 5*w - 1 + 5*w - f wrt w.
9*w**2
Let q = 72 - 431/6. Let c(j) be the second derivative of 5/2*j**2 - q*j**3 + 0 + 4*j. Differentiate c(x) with respect to x.
-1
Let u(d) be the first derivative of 111*d**7/7 + 2*d**3/3 - 2*d**2 - 34. What is the third derivative of u(p) wrt p?
13320*p**3
What is the second derivative of 3*a - 209*a**4 + 10 + 11 - 2*a + 10*a**4 wrt a?
-2388*a**2
Suppose 5*q - 1660 = -5*i, i + 1678 = 5*q - 3*i. Let z = q - 186. Find the third derivative of z - 148 + 6*t**3 + 10*t**2 wrt t.
36
What is the third derivative of 3*a**6 - 21*a - 42*a**2 + 0*a + 45*a**2 + 2*a + 75*a**4 wrt a?
360*a**3 + 1800*a
Let q(c) be the first derivative of 0*c + 1/2*c**2 - 1/20*c**5 - c**3 + 0*c**4 - 7. Let i(f) be the second derivative of q(f). Differentiate i(u) wrt u.
-6*u
Let y(p) = 6*p - 3. Let o(d) = 3*d - 1 + 5*d - 4*d - 3*d. Let j = 8 + -9. Let b(c) = j*o(c) - y(c). What is the derivative of b(v) wrt v?
-7
Let i(r) = 5*r**2 - 6*r - 33. Let x(z) = -14*z**2 + 20*z + 102. Let p(g) = 16*i(g) + 5*x(g). Differentiate p(o) wrt o.
20*o + 4
Suppose -38 = -5*n - 8. Let d be (-301)/(-21) + (-2)/n. Find the second derivative of 3*o**5 - o - d*o**3 + 14*o**3 wrt o.
60*o**3
Let q(h) be the third derivative of -12*h**2 + 0*h**6 + 0*h**7 + 0*h**4 + 0 + 0*h - 11/60*h**5 + 0*h**3 - 5/84*h**8. What is the third derivative of q(j) wrt j?
-1200*j**2
Let k(h) = -470*h**3 - 61*h**2 + 13*h. Let i(o) = -236*o**3 - 30*o