 + 12
Let f = 4/21 + 55/42. Let c(t) be the first derivative of -1/3*t**3 - f*t**2 - 5 + 0*t. Find the second derivative of c(l) wrt l.
-2
Let k(g) = g**2 - 2*g - 3. Let m be k(-2). Suppose 2*n = -0*i + m*i - 21, -2*i + 5*n = 0. Find the first derivative of -8 + 106*o + i*o**2 - 106*o wrt o.
10*o
Let h(o) be the third derivative of -19*o**2 + 0*o**3 + 0*o**5 + 1/12*o**8 + 0*o**7 + 0*o + 0*o**6 - 1/3*o**4 + 0. Find the second derivative of h(q) wrt q.
560*q**3
Find the second derivative of -43494*w + w**3 - 75*w**4 + 5*w**3 + 43614*w wrt w.
-900*w**2 + 36*w
Let i be (102/357)/((-4)/(-7)). Let t(j) be the first derivative of -7 + 0*j**3 + i*j**2 + 0*j - j**4. Find the second derivative of t(h) wrt h.
-24*h
What is the second derivative of 208*r**3 - 112*r - 1 + 143*r**3 + 26*r**3 + 3 wrt r?
2262*r
Let c = 2 + 0. Let h = -444 - -450. Find the third derivative of -91*d**c - d**6 - 4*d**h + 98*d**2 wrt d.
-600*d**3
Let q(b) be the first derivative of -23*b**6/6 - b**2/2 - 6*b - 37. Find the second derivative of q(j) wrt j.
-460*j**3
Let o(d) = -6*d - 18. Let g be ((-12)/30)/(2/20). Let f(i) = 6*i + 19. Let k(t) = g*f(t) - 5*o(t). Find the first derivative of k(c) wrt c.
6
What is the second derivative of 2*h**4 - 52*h - 160*h + 2*h**4 - 11*h**2 - 10*h**2 - 98*h wrt h?
48*h**2 - 42
Let g be ((-11)/(-2))/((-7)/(-28)). Find the second derivative of 9 - 12*a + 13 - g - 10*a**5 wrt a.
-200*a**3
Suppose -11 = -7*w + 3. Find the third derivative of -w*f + 53*f**4 + 43*f**2 - 22*f**2 - 34*f**4 wrt f.
456*f
What is the third derivative of 16*b**2 - 85*b**5 + 1 - 59*b**2 - 3 + 2 wrt b?
-5100*b**2
Let n(y) = -99*y**2 - 5*y + 99. Let d(k) = -149*k**2 - 8*k + 148. Let m be 0 - (1 + -2 + -4). Let s(u) = m*d(u) - 8*n(u). Differentiate s(q) with respect to q.
94*q
Let z(c) = c**3 + 2*c**2 - 2*c - 1. Let o be z(-2). Find the first derivative of -10 - 46*l**3 + 20*l**3 + 13*l**o + 20*l**3 wrt l.
21*l**2
Let h be 2/2 - (-12)/4. Suppose -s - 4*m + 5*m = 0, -3*m = -h*s + 2. What is the third derivative of j**s - 6*j**6 - 2*j**2 + 4*j**2 wrt j?
-720*j**3
Let s(j) = j**3 + 5*j**2 - 4*j + 12. Let u be s(-5). Suppose -3*l - u = -5*l. What is the second derivative of -4*f**3 - 22*f + 7*f**3 + l*f wrt f?
18*f
Suppose 24 = 9*b - b. Differentiate 28 - 3*n**3 + 4*n**3 + 7*n**3 - b*n**3 with respect to n.
15*n**2
Let t = 158 + -102. Find the third derivative of -7*v**2 + v**5 + t*v**2 - 29*v**2 wrt v.
60*v**2
Suppose -3*x = -3*q - 33 + 3, -4*x - 4*q = 0. Let g be (4/(-5))/((-4)/10). What is the second derivative of g*v**x + 9 - 9 - 6*v**5 - 5*v wrt v?
-80*v**3
Let k be (196/(-126))/((-20)/45). Let w(c) be the second derivative of 0*c**3 - k*c**2 - 1/2*c**5 + 0 + 0*c**4 - 6*c. What is the derivative of w(l) wrt l?
-30*l**2
Let o(k) be the third derivative of 0*k + 0*k**3 + 0 + 14*k**2 - 1/6*k**5 + 7/4*k**4. Find the second derivative of o(x) wrt x.
-20
Let k(h) be the third derivative of -h**7/35 + h**6/60 - 23*h**5/12 + h**3/3 - 22*h**2 - 5. What is the third derivative of k(a) wrt a?
-144*a + 12
What is the third derivative of 684*w**3 + 95*w**3 - 23 + 2*w**2 + 54 - 98 - 84 wrt w?
4674
Suppose -12 = 7*l - 47. Find the third derivative of -2*c**l + 2*c**5 + 2230*c**6 - 16*c**2 - 1 - 2258*c**6 wrt c.
-3360*c**3
Let f(j) = 59*j**5 + 4*j**3 + 15*j**2 + 8*j. Let q(b) = 60*b**5 + 3*b**3 + 16*b**2 + 7*b. Let t(k) = 3*f(k) - 4*q(k). Find the third derivative of t(p) wrt p.
-3780*p**2
Suppose n + 2*n + 72 = 0. Let a = 24 + n. What is the derivative of 1 + 5*z**3 + 11 + a wrt z?
15*z**2
Let f = 65 - 55. Let j(n) = -n**2 + 6*n + 1. Let i be j(5). What is the third derivative of i*v**5 - 14*v**2 + 10*v**2 + f*v**2 wrt v?
360*v**2
What is the third derivative of -168*a**2 + 83*a**2 + 17 - 136*a**3 + 87*a**2 wrt a?
-816
Let v be (1/(-2))/((-6)/(-36)). Let f(m) = 2*m**2 + m + 1. Let q be f(v). Find the second derivative of 0*u + 10*u + 16 + 4*u**5 - q wrt u.
80*u**3
Find the second derivative of -3 + 2 + 49*j - 36*j**5 - j**5 + 8*j**5 wrt j.
-580*j**3
Find the second derivative of -9283*n**4 - 42*n**3 + 9279*n**4 - 3*n + 51 + 5*n wrt n.
-48*n**2 - 252*n
Differentiate -892*u**2 + 5 - 89*u**3 + 26*u**3 + 892*u**2 wrt u.
-189*u**2
Suppose -104 = -7*j - 6*j. Find the second derivative of -20*p**4 - 5*p - 3*p + 6*p - j*p wrt p.
-240*p**2
Let a(g) be the first derivative of 20*g + 24*g - 14*g**5 + 7*g**5 - g - 42. Differentiate a(k) with respect to k.
-140*k**3
Let d(b) be the first derivative of -1/2*b**2 + 0*b**4 + 0*b**3 - 3*b + 0*b**5 - 1 - b**6. Find the second derivative of d(l) wrt l.
-120*l**3
What is the third derivative of 7*g**3 - 243*g**2 - 193*g**2 + 112*g**3 + 86*g**2 wrt g?
714
Let i(z) = 2235*z**2 + 35*z + 15. Let f(t) = -745*t**2 - 11*t - 7. Let a(c) = 7*f(c) + 2*i(c). What is the second derivative of a(h) wrt h?
-1490
Let h(c) be the second derivative of 3/2*c**2 + 1/6*c**4 + 5/6*c**3 + 0 + 4*c. Let s(z) be the first derivative of h(z). Differentiate s(b) wrt b.
4
Let u(a) = a**2 - a. Let f(b) = 20*b**2 + 3*b. Let t be 10/4*(3 - 1). Let h(z) = t*u(z) - f(z). What is the second derivative of h(q) wrt q?
-30
Let p(m) = 12*m + 19. Let h be (-1)/10 - 155/(-50). Let u(i) = -36*i - 56. Let k(l) = h*u(l) + 8*p(l). Differentiate k(q) with respect to q.
-12
Find the first derivative of -1844 + 922 - 142*k + 912 wrt k.
-142
Let t(z) = 265*z + 364. Let i(k) = 532*k + 731. Let l(q) = -4*i(q) + 9*t(q). Find the first derivative of l(h) wrt h.
257
Let s = -8 + 20. Suppose s = 3*k - 15. What is the third derivative of 5*h**6 + 4*h**2 + 11*h**6 - k*h**6 wrt h?
840*h**3
Find the second derivative of 43*k**2 + 30*k**2 - 76*k + 9*k**2 - 129*k + 45*k wrt k.
164
Find the third derivative of 32*p**6 + 88*p**2 - 16*p**6 + 33*p**6 + 4*p**6 wrt p.
6360*p**3
Suppose -11 = -3*u - 5. What is the derivative of 8 + 15*w**u - 19*w**2 + 15*w**2 wrt w?
22*w
Let t = -245 + 245. Let k(r) be the third derivative of -1/105*r**7 + t*r**4 - 2*r**2 - 1/3*r**3 + 0*r + 0 + 0*r**6 + 0*r**5. Differentiate k(g) wrt g.
-8*g**3
Let l(s) be the first derivative of -5*s**4 + 23*s**2 + 29. Find the second derivative of l(k) wrt k.
-120*k
Let g be (-2 - -3) + 3 + -6. Let y be (-2 - g)*8/8. What is the derivative of 0*m - 6*m - 1 + y*m wrt m?
-6
Find the third derivative of 495*g**5 - 576*g**5 + 28*g**2 + 0*g + 0*g wrt g.
-4860*g**2
Let f = -34 - -60. Find the second derivative of 4*y**5 - f*y**5 - 28*y + 12*y wrt y.
-440*y**3
What is the second derivative of 2 + 0 + 16493*z + 0 - 41*z**3 - 16634*z wrt z?
-246*z
Let x(f) be the first derivative of 0*f**3 - 17/3*f**6 + 0*f**5 + 0*f + 0*f**4 + 25 - 25/2*f**2. Find the second derivative of x(o) wrt o.
-680*o**3
Let b(m) = 333*m**2 - 5*m - 447. Let l(u) = -168*u**2 + 3*u + 224. Let k(j) = -3*b(j) - 5*l(j). Find the first derivative of k(h) wrt h.
-318*h
Let s(u) be the first derivative of 7*u**6/2 + u**2 + 13*u - 52. What is the second derivative of s(y) wrt y?
420*y**3
Let v(s) be the first derivative of -297*s**4/4 - 2*s**3/3 + 473*s + 744. What is the first derivative of v(u) wrt u?
-891*u**2 - 4*u
Let s(x) be the first derivative of x**4/12 + 5*x**3/3 - 11*x**2/2 + 9. Let t(m) be the second derivative of s(m). Find the first derivative of t(g) wrt g.
2
Let g(l) = l**3 + 6*l**2 - 5*l - 5. Let i be g(-6). What is the second derivative of i*t - 12*t**2 + 7*t + 20*t**2 + 12*t**2 wrt t?
40
Find the second derivative of 161*m**3 - 48*m - 63*m**3 - 17*m**3 + 13*m wrt m.
486*m
Let x(z) = 8*z**2 - 4. Let c(y) = -y**2. Let m(u) = u**2 - 12*u + 5. Suppose -1 + 12 = o. Let h be m(o). Let w(s) = h*c(s) - x(s). Differentiate w(t) wrt t.
-4*t
What is the third derivative of -152*p**3 + 12*p**2 - 4*p + 4*p - 2*p - 2*p + 55*p**3 wrt p?
-582
Differentiate 13 + 20 + 5*x**2 + 4*x - 8 - 5 - 2*x**2 with respect to x.
6*x + 4
Let h(f) = -372*f**3 + 3*f**2 + 25. Let a(d) = -372*d**3 + 4*d**2 + 25. Let s(v) = -3*a(v) + 4*h(v). What is the first derivative of s(x) wrt x?
-1116*x**2
Let v(h) = -h - 9. Let j be v(-9). Let f be (1 - (-3 + 1)) + j. What is the second derivative of 4*r + r + 5*r**f + r**3 wrt r?
36*r
Let c(d) = -5*d**2. Let u(i) = 233*i**2 - 385*i. Let r(q) = -6*c(q) - u(q). What is the second derivative of r(g) wrt g?
-406
Let b(n) = -n**4 + 165*n**3 - 15*n**2 - 1. Let o(i) = 2*i**3 + i**2