- y + 12 = -3*y, y - 3 = 0. What is the derivative of -240*c + 240*c + 8 - d - 11*c**3 wrt c?
-33*c**2
Suppose -3*r + 30 = -3*y, 3*r + 3*y - 41 - 13 = 0. What is the third derivative of -98*v**2 - 9*v**6 + 102*v**2 - r*v**6 wrt v?
-2760*v**3
Let u = 0 - 0. Suppose 0*w + 2*w - 14 = u. What is the second derivative of 18*k - w*k + 4*k**2 - 16*k wrt k?
8
Let y(w) be the second derivative of 0*w**5 + 0*w**2 + 0*w**6 + 0*w**4 + 19/6*w**3 + 0 + 7*w - 1/2*w**7. What is the second derivative of y(l) wrt l?
-420*l**3
Let t = -898 + 908. Let u(x) be the first derivative of -5/3*x**6 + 0*x**3 + 0*x**5 + 0*x**4 + 0*x - t + x**2. What is the second derivative of u(r) wrt r?
-200*r**3
Suppose 3*h = 29 - 5. Suppose 12 = 5*u - h. What is the second derivative of 6*v + 2*v**4 - 2*v**4 - u*v**4 wrt v?
-48*v**2
Let c = -10 + 6. Let t be (-2)/(-2*c/(-8)). Differentiate -2*b**2 + 29 - 2*b**t - 35 with respect to b.
-8*b
Suppose 6*m - 10 - 8 = 0. Find the first derivative of 2*f - 2*f**3 + 54 - 13*f**2 - f**m + 13*f**2 wrt f.
-9*f**2 + 2
What is the first derivative of -173*d - 424 - 254*d - 66 wrt d?
-427
Let d(t) be the third derivative of -5*t**9/14 - 83*t**5/30 + 7*t**2 - 3*t. Find the third derivative of d(a) wrt a.
-21600*a**3
Let n(x) be the third derivative of -x**6/40 - 7*x**5/30 + x**4/4 + 23*x**3/6 - 4*x**2 + 5*x. What is the second derivative of n(g) wrt g?
-18*g - 28
Let v(w) be the first derivative of -3/2*w**4 + 0*w + 18 + 0*w**2 - 11/3*w**3. What is the third derivative of v(n) wrt n?
-36
Let i(g) be the third derivative of -g**8/140 - 3*g**4/4 + 5*g**3/6 - 20*g**2. Let u(x) be the first derivative of i(x). Differentiate u(s) wrt s.
-48*s**3
Let v(p) be the first derivative of p**5 + 2*p**3/3 - 5*p**2/2 + 2*p - 57. What is the second derivative of v(k) wrt k?
60*k**2 + 4
Let q = -10 - -6. Let y(l) = l**2 - 10*l + 3. Let j(g) = 11*g - 4. Let c(o) = q*y(o) - 3*j(o). Find the second derivative of c(s) wrt s.
-8
Let d(m) be the third derivative of m**7/105 - 37*m**6/120 + 118*m**5/15 - 4*m**2 - 102. What is the third derivative of d(c) wrt c?
48*c - 222
Let s = 24 + -20. Find the second derivative of -90*d + 69*d + 0*d**4 - d**4 - 3*d**s wrt d.
-48*d**2
Suppose 6 - 20 = -2*i. Suppose 2*y = -6, -2*y + 30 = 5*u - i*y. What is the third derivative of -2*n**2 - 4*n**4 + 2*n**4 - u*n**4 wrt n?
-120*n
Let b(r) be the second derivative of r**6/48 - r**5/10 - 2*r**4/3 - 23*r. Let y(n) be the third derivative of b(n). What is the first derivative of y(t) wrt t?
15
Let m(r) = -15*r - 9*r + 504*r**2 - 503*r**2 - 4. Let i(u) = 2*u**2 - 24*u - 3. Let p(j) = -4*i(j) + 3*m(j). What is the second derivative of p(z) wrt z?
-10
Let s(q) = 148*q**3 - 21*q**2 + 6*q + 48. Let b(t) = 148*t**3 - 22*t**2 + 4*t + 40. Let p(m) = -6*b(m) + 5*s(m). What is the third derivative of p(v) wrt v?
-888
Let q(z) be the third derivative of z**7/14 - z**6/60 - 83*z**4/12 + 198*z**2. What is the second derivative of q(m) wrt m?
180*m**2 - 12*m
Let t(c) = -c**3 + c**2 + 3. Let b be (0/(-4 + 2))/2. Let l be t(b). Find the second derivative of 7*h**l + 0*h - 4*h - 3*h wrt h.
42*h
Let q(t) be the third derivative of 1/30*t**7 + 0*t**6 + 0*t**5 + 0*t**4 + 0*t + 2/3*t**3 + 0 - 12*t**2. What is the derivative of q(z) wrt z?
28*z**3
Let c be (0/1)/((-2)/2). Suppose c*j + 10 = 5*j. Differentiate -7*n - 1 + j*n + 2*n with respect to n.
-3
Let n(v) = 7*v**3. Let j(p) = 35*p**3 - 1. Let k = 51 + -40. Let x(h) = k*n(h) - 2*j(h). Differentiate x(s) with respect to s.
21*s**2
Find the first derivative of 20 - y + 74 - 2*y + 19*y**2 wrt y.
38*y - 3
Suppose 2 = -x + 6, 20 = 2*h - 4*x. Let s = -16 + h. Differentiate -19*f**s + 4*f**4 + 1 + 19*f**2 with respect to f.
16*f**3
Let d(n) be the second derivative of n**6/72 + n**5/120 + n**4/12 + 3*n. Let h(b) be the third derivative of d(b). Differentiate h(c) with respect to c.
10
Let p(k) = 159*k**3 + 11*k**2 - 10*k - 6. Let f(u) = -159*u**3 - 10*u**2 + 8*u + 5. Let d(s) = -5*f(s) - 4*p(s). What is the third derivative of d(i) wrt i?
954
Let u(q) = -q**4 + q**3 - q**2 + q. Let j(g) = 3*g**4 - 2*g**3 + 2*g**2 - 2*g + 38. Let k(w) = -j(w) - 2*u(w). What is the derivative of k(r) wrt r?
-4*r**3
Let i(j) be the third derivative of 0 + 0*j**4 - j + 0*j**6 + 0*j**3 - 5/56*j**8 + 0*j**7 - 16*j**2 - 17/30*j**5. Find the third derivative of i(z) wrt z.
-1800*z**2
Let n(p) = -21*p**3 + 6*p**2 - 282*p + 2. Let f(d) = -22*d**3 + 8*d**2 - 281*d + 3. Let j(b) = -2*f(b) + 3*n(b). Find the second derivative of j(v) wrt v.
-114*v + 4
Let t(x) = -x**3 - 23*x**2 - 22*x + 4. Let m be t(-22). What is the third derivative of 24*g**2 - 7*g**m + 3*g**2 + 11*g**4 - g**2 wrt g?
96*g
Let r = 12 - -18. What is the derivative of 22*k**2 - 44*k**2 + 14 + r*k**2 wrt k?
16*k
Suppose 5*i = -3*m - 0*m + 32, -4*i = 3*m - 25. What is the derivative of -i - 19*f**3 + 5 + 10 wrt f?
-57*f**2
Let h(v) be the third derivative of v**7/84 + 3*v**5/40 + v**3/2 + 7*v**2. Let f(c) be the first derivative of h(c). Find the second derivative of f(l) wrt l.
60*l
Suppose 0 = -2*s - 5 + 13. Suppose s*r - 25 = -r. Find the third derivative of 6*m**3 + m**3 - m**2 - r*m**2 wrt m.
42
Let u = -675/2 - -338. Let d(v) be the third derivative of -6*v**2 + 0*v + 0*v**4 - u*v**3 + 1/60*v**5 + 0. Find the first derivative of d(z) wrt z.
2*z
Let d = 31 - 21. Differentiate -92*n + 1 - d + 103*n wrt n.
11
Let j(k) be the third derivative of 3*k**6/8 + k**5/60 - 119*k**3/6 + 76*k**2. Find the first derivative of j(m) wrt m.
135*m**2 + 2*m
Let y(x) = x**2 - x + 1. Let b(j) = 38*j**3 + 8*j**2 + 142*j + 8. Let s(k) = -b(k) + 8*y(k). What is the second derivative of s(i) wrt i?
-228*i
Let z(u) = u**3 + 5*u**2 + 6*u + 5. Let r be z(-3). Let w be 2 + 3 + (0 - -2). What is the derivative of 7*f + r + 4*f**2 - w*f wrt f?
8*f
Let d(c) be the first derivative of 0*c**3 + 0*c**4 - 7/2*c**6 + 4*c**2 + 24 + 0*c + 0*c**5. Find the second derivative of d(o) wrt o.
-420*o**3
Let b(v) be the second derivative of 129*v**5/20 + 27*v**3/2 + v**2/2 + 5*v - 9. What is the second derivative of b(r) wrt r?
774*r
Let b(o) = -73*o**3 - 4*o**2 - 4*o + 69. Let l(g) = 73*g**3 + 3*g**2 + 3*g - 69. Let q(u) = -3*b(u) - 4*l(u). Differentiate q(y) with respect to y.
-219*y**2
Suppose 2*j = 7*j - 30. Let x be (24/20)/(4/10). What is the first derivative of -j*o**2 + 5*o**2 + o**2 - 7*o**x - 5 wrt o?
-21*o**2
What is the second derivative of 91*k**2 + 100*k + 33*k - 26*k wrt k?
182
Differentiate -7926*n**4 + 3965*n**4 + 3960*n**4 - 253 + 8*n**3 with respect to n.
-4*n**3 + 24*n**2
Let l(a) = -a**3 + 9*a**2 - 2*a + 10. Let d(b) = 2*b**3 - 7*b**2 + b - 8. Let g(m) = -5*d(m) - 4*l(m). Find the third derivative of g(y) wrt y.
-36
What is the second derivative of 35*v**2 - 5*v**3 + 8*v**3 - 4*v - 5 - 41*v**2 wrt v?
18*v - 12
Let t(r) be the second derivative of 0*r**5 + 0 + 0*r**3 + 30*r + 0*r**4 - 13*r**2 - 2/5*r**6. What is the derivative of t(p) wrt p?
-48*p**3
Let p(l) be the second derivative of 0 - l - 3/2*l**3 - 7/2*l**2. Find the first derivative of p(k) wrt k.
-9
Let c(q) = -3*q + 153. Let b(g) = 7*g - 458. Let f(v) = 3*b(v) + 8*c(v). What is the derivative of f(d) wrt d?
-3
Let c(p) be the second derivative of 41/12*p**4 + 0 + 0*p**2 - 17/3*p**3 + p. Find the second derivative of c(x) wrt x.
82
Suppose -3*w = -6 - 3. Suppose -2*x = 4*g - 54, 3*g - 35 - w = -4*x. Find the third derivative of 11*n**2 + 4*n + g*n**6 - 11*n + 7*n wrt n.
1680*n**3
Let l(j) = 541*j**3 + 49*j**2 + 8*j - 6. Let u(z) = -1624*z**3 - 146*z**2 - 22*z + 17. Let x(t) = 11*l(t) + 4*u(t). What is the third derivative of x(c) wrt c?
-3270
Let p be (-20)/4*-1*1. Let q(m) be the first derivative of 7/3*m**3 + 0*m**p - 3 + 0*m**4 + 0*m**2 + 0*m + 1/3*m**6. What is the third derivative of q(a) wrt a?
120*a**2
Let s be 6/30 + 2/5*7. Let z(u) = -7*u**2 - 2*u. Let o(g) = 0*g**2 - g - 3*g - 14*g**2. Let i(w) = s*o(w) - 5*z(w). What is the second derivative of i(d) wrt d?
-14
Let i(r) be the first derivative of 13/2*r**2 - 7/3*r**3 + 0*r - 9. Find the second derivative of i(x) wrt x.
-14
Let v(l) = -53*l**3 - 5*l**2 + 1. Let s(w) = -160*w**3 - 16*w**2 + 4. Let h(x) = -2*s(x) + 7*v(x). Find the third derivative of h(z) wrt z.
-306
Let k(h) be the first derivative of -h**6/360 - 3*h**5/20 + 11