d.
4740*d**2 + 6
Let w be 1/6 + 7/(-42). What is the second derivative of 0*j**3 - 26*j**4 + w*j**3 + 12*j + 43*j**4 wrt j?
204*j**2
Let o(a) = -330*a**3 + 4*a**2 - 3*a + 550. Let b(j) = -659*j**3 + 7*j**2 - 5*j + 1098. Let f(x) = 3*b(x) - 5*o(x). Differentiate f(q) wrt q.
-981*q**2 + 2*q
What is the second derivative of -368*r**4 + 215*r - 9 - 105*r - 116*r - 3 wrt r?
-4416*r**2
Let g(w) = -631*w**3 - 9*w**2 + 18*w - 413. Let q(i) = -315*i**3 - 4*i**2 + 8*i - 207. Let s(f) = -4*g(f) + 9*q(f). What is the derivative of s(p) wrt p?
-933*p**2
Let v(r) = -6*r**2 - 294*r + 6. Let l(m) = -4*m**2 - 197*m + 5. Let i(n) = 7*l(n) - 5*v(n). What is the derivative of i(q) wrt q?
4*q + 91
Let i(n) be the second derivative of -n**8/28 + 239*n**7/42 - 29*n**4/3 + 107*n. What is the third derivative of i(y) wrt y?
-240*y**3 + 14340*y**2
Let l = 7 + -3. Let q(z) = 11 + 9 - 19 - z. Let o(t) = -t - 3. Let g(j) = l*q(j) + 2*o(j). Find the first derivative of g(b) wrt b.
-6
Let m be -1*10*3/(-6). Let c = m + -3. What is the derivative of c - 4 + 0 - 4*a**2 + 1 wrt a?
-8*a
Suppose 3*b = -4*w + 1340, -w + 3*b = -0*w - 350. Find the first derivative of -5*y**4 - w + 345 - 6*y**4 wrt y.
-44*y**3
Let q(n) be the second derivative of 0*n**2 - 11/6*n**3 - 4*n + 0*n**5 + 0*n**4 + 0 + 0*n**6 - 1/42*n**7. What is the second derivative of q(g) wrt g?
-20*g**3
Let o = 154 - 153. Let s(l) = -18*l**3 - 5*l**2 - 34*l. Let t(q) = q**3 + q**2 - q. Let k(w) = o*s(w) + 5*t(w). What is the second derivative of k(h) wrt h?
-78*h
What is the third derivative of -2 + 8*t**3 + 11*t**3 + 16*t**3 - 3*t**2 + 3*t**3 wrt t?
228
Let p(a) = -a**2 + 10*a - 9. Let l be p(9). What is the third derivative of l*u**2 - 6*u**5 + 3*u**5 - 5*u**2 wrt u?
-180*u**2
What is the second derivative of -313*f + 374*f**4 - 206 + 117 + 89 wrt f?
4488*f**2
Let z(x) be the second derivative of 0*x**2 + 0*x**6 + 2 + 5/3*x**4 - 11/21*x**7 + 0*x**5 - 6*x + 1/6*x**3. Find the third derivative of z(h) wrt h.
-1320*h**2
Let w(b) = b - 1. Let q(i) = 85*i**3 + 2*i - 84. Let j(d) = q(d) - 2*w(d). Find the first derivative of j(v) wrt v.
255*v**2
Differentiate -1 - 45 - 75 + 130*p wrt p.
130
Let y(r) be the third derivative of r**10/50400 - r**6/120 + r**5/5 + 2*r**2. Let f(a) be the third derivative of y(a). Differentiate f(m) wrt m.
12*m**3
Let z = 1259/4 - 313. Let j(m) be the first derivative of -5 + 0*m**2 - z*m**4 - 5/3*m**3 + 0*m. Find the third derivative of j(s) wrt s.
-42
Differentiate -30*n**2 + 48 + 31 + 25 - 104 + 55 with respect to n.
-60*n
Let o(q) be the first derivative of -q**10/1260 - q**6/36 + 6*q**3 - 14. Let b(s) be the third derivative of o(s). Find the third derivative of b(m) wrt m.
-480*m**3
Let k(a) = 708*a**3 - 28*a**2 - 161. Let n(d) = 709*d**3 - 23*d**2 - 161. Let w(y) = 5*k(y) - 6*n(y). Find the third derivative of w(j) wrt j.
-4284
What is the second derivative of -181*x**2 + 0*x + 638*x**2 + 20*x wrt x?
914
Suppose 3*q + 5*o = 14, 0*q = 2*q - o - 18. What is the first derivative of -7*v + 3*v - q*v - v - 13 wrt v?
-13
Let i(o) be the third derivative of 641*o**4/24 + 40*o**3 + 28*o**2. What is the first derivative of i(d) wrt d?
641
Let k(g) = 1009*g - 331. Let w(n) = -337*n + 112. Let q(h) = 6*k(h) + 17*w(h). What is the first derivative of q(z) wrt z?
325
Let a(d) = -12*d**4 - 3*d**2 - 10. Let s(b) be the first derivative of -b**5/5 - b**3/3 - 3. Let q(u) = a(u) - 3*s(u). What is the derivative of q(i) wrt i?
-36*i**3
Find the third derivative of -288*a**4 - 233 + 233 + 2*a**2 + 177*a + a**3 wrt a.
-6912*a + 6
Let t(h) = -h**3 - 9*h**2 + 2*h - 2. Let m be t(-9). Let n = -17 - m. Find the second derivative of -7*u - u**n - 4*u**3 + 2*u**3 wrt u.
-18*u
Let u(t) = -3*t**2 + t + 4. Let c be u(0). Find the second derivative of c*z + 9*z**2 - 6 - z + 6 wrt z.
18
Let f(s) = s**3 - 5*s**2 + 4*s - 7. Let k be f(6). What is the derivative of 27 - 20*w**4 + 47 - 6*w**4 - k wrt w?
-104*w**3
Let p = 44 - 41. What is the second derivative of 6*g - 16*g - p*g**4 - 9*g**4 wrt g?
-144*g**2
Suppose -k - 2*k - 3*t + 42 = 0, 16 = 4*t. Find the second derivative of 30*f**2 - k*f - 51*f**2 + 53*f**2 wrt f.
64
Let y(b) be the third derivative of 31*b**7/105 - 47*b**4/24 + 4*b**2 + 4. Find the second derivative of y(h) wrt h.
744*h**2
Let y = -169 + 171. Find the third derivative of -3*i**5 + i**5 + i**2 - 343*i - y*i**4 + 324*i - 4*i**5 wrt i.
-360*i**2 - 48*i
Let h(u) be the second derivative of u**7/140 - 2*u**6/45 + 7*u**3/2 + u. Let g(k) be the second derivative of h(k). What is the third derivative of g(o) wrt o?
36
Let g(r) be the third derivative of 7*r**6/40 + r**5/30 + 79*r**4/24 - 3*r**2 - 3. Find the third derivative of g(w) wrt w.
126
Let a(l) be the first derivative of -7*l**6/6 - 2*l**5 - 7*l**2/2 - 4*l + 80. Find the second derivative of a(k) wrt k.
-140*k**3 - 120*k**2
Let b(i) = 297*i - 54. Let a(h) = -744*h + 135. Let n(m) = -5*a(m) - 12*b(m). Differentiate n(c) with respect to c.
156
Let k(v) = -12*v**6 - 6*v**3 + 6*v**2 - 12*v. Let j(h) = -h**6 - h. Let u(y) = -2*j(y) + k(y). What is the third derivative of u(p) wrt p?
-1200*p**3 - 36
Let m(z) be the third derivative of 0*z**3 + 10*z**2 + 0*z + 1/15*z**6 + 0*z**5 + 0 - 7/8*z**4. Find the second derivative of m(p) wrt p.
48*p
Let i be (-1)/((-22)/(-6) - 4). Suppose 3*d - 1 + 7 = i*a, a = 4*d - 4. Find the third derivative of 7*w**d + 1 - 1 + 13*w**3 - 9*w**3 wrt w.
24
Let m(s) be the second derivative of s**8/7 - 5*s**7/42 + 301*s**4/6 + 54*s + 2. What is the third derivative of m(x) wrt x?
960*x**3 - 300*x**2
Let n(z) be the first derivative of -14*z**3 + 0*z**2 - 45/4*z**4 + 0*z + 13. Find the third derivative of n(x) wrt x.
-270
Let f = -13 + 14. Let y(w) = 2*w. Let r(g) = 1. Suppose -3*p + p = 10. Let d(l) = f*y(l) + p*r(l). What is the derivative of d(b) wrt b?
2
Let o(n) be the second derivative of 0*n**5 + 0*n**2 + 0 - 26*n + 0*n**6 - 3/7*n**7 - 1/3*n**3 + 0*n**4. What is the second derivative of o(a) wrt a?
-360*a**3
Let z(a) = 2*a - 10. Let q be z(7). Let p = q - -1. Find the second derivative of 4*k**p - 5*k + 10*k**5 - 13*k**5 wrt k.
20*k**3
Let d(h) be the second derivative of 0*h**3 + 0*h**4 + 5*h - 9/20*h**5 + 0 - 2*h**2. What is the first derivative of d(b) wrt b?
-27*b**2
Let b(f) be the first derivative of 123*f**4 - 507*f + 13. Differentiate b(t) wrt t.
1476*t**2
Suppose -2*l + 3 = -1. Find the second derivative of h + 12*h**5 + 39*h + 12*h**5 + l*h wrt h.
480*h**3
Let x(r) be the first derivative of 16*r**3/3 + r**2 + 172*r - 530. Find the second derivative of x(f) wrt f.
32
Let v(h) be the second derivative of h**5/10 - 14*h**4/3 + 40*h**3/3 - h**2 - h + 1. What is the second derivative of v(f) wrt f?
12*f - 112
Suppose -f = -5*f + 20. Suppose -6 = -3*k, 4*v - 16 = -3*k + 2. What is the derivative of 5*q**v + 4*q - 4 + q - f*q wrt q?
15*q**2
Let u(m) = -11*m + 4*m**2 - m - 2*m**2 - m**2. Let w be u(12). What is the third derivative of -2*l**3 - 2*l**3 - 2*l**2 + w*l**3 wrt l?
-24
Suppose 4*r + 2*f - 1412 = 0, -5*r - 2*f + 0*f + 1764 = 0. Differentiate -r*z + 362*z + 10 + 17 with respect to z.
10
Let y be ((-4)/7)/((-38)/133). Let i(b) be the first derivative of 0*b - 6/5*b**5 + 0*b**3 - b**y + 0*b**4 - 2. What is the second derivative of i(a) wrt a?
-72*a**2
Let o(g) be the second derivative of 4*g**6/15 + g**5/20 + 25*g**4/2 + g**3/6 - 316*g. Find the third derivative of o(h) wrt h.
192*h + 6
Let y(t) = 34*t**2 + 10*t + 3. Let o(w) = 205*w**2 + 61*w + 17. Let a(h) = 6*o(h) - 34*y(h). Find the second derivative of a(s) wrt s.
148
Let p(g) = -g**2 - 3*g. Let c(d) = 25*d**2 + 10*d - 42. Let n(y) = -c(y) - 2*p(y). Differentiate n(m) wrt m.
-46*m - 4
Let v = -94 - -105. Find the second derivative of 91*w**2 + 19*w**5 - v*w - 91*w**2 + 3*w**5 wrt w.
440*w**3
Let d(y) be the third derivative of 31*y**7/105 + 23*y**4/8 - 20*y**2. What is the second derivative of d(r) wrt r?
744*r**2
Let w be (-3)/((-9)/(-15)) - -5. Let o(l) be the second derivative of w*l**3 - 1/3*l**4 + 0 + 7*l + 1/2*l**2. Differentiate o(t) wrt t.
-8*t
Let a(i) = -2*i - 10. Let b be a(-6). What is the third derivative of -7*j**b - 4*j**2 + 6*j**2 + 9*j**4 wrt j?
216*j
Let t(j) = 4*j**3 + 3*j**2 - 6*j + 6. Let i(v) = -v**3 + v - 1. Suppose 5*r - 8 = -3. Let