+ 3*i wrt i.
-324*i**2
Suppose 2*m - 16 = 12. Find the second derivative of m*s + 15*s - 21*s**3 + 25*s**3 + 17*s**3 wrt s.
126*s
Let q(a) be the second derivative of 0*a**4 + 0*a**2 + 1/6*a**6 - 43*a - 1/20*a**5 + 0 + 65/6*a**3. What is the second derivative of q(d) wrt d?
60*d**2 - 6*d
Suppose -24*i + 50 = -22*i. Suppose -5*l - 3*m - 2*m = -15, -2*l = -m - 21. What is the second derivative of -25 - 5*a + i - l*a**2 wrt a?
-16
What is the third derivative of 974*n**3 - 6861*n**2 - 9715*n - 1597*n**2 + 6223*n**3 + 9715*n wrt n?
43182
Suppose 5*w - w + 2*w = 0. Suppose -3*i + 49 - 19 = w. Find the first derivative of 4*b**2 - 11*b**2 + 7*b**2 - i + 4*b**2 wrt b.
8*b
Let b(j) = 4*j + 71. Let k be b(-12). Find the first derivative of 144*c - k - 40 - 77 - 6 wrt c.
144
Let i = 247 + -247. Find the third derivative of -50*j - 10*j**4 - 9*j**5 - j**2 + i*j**2 - 6*j wrt j.
-540*j**2 - 240*j
What is the third derivative of 111*f**2 + 200*f**4 - 192*f**4 - f + 104*f**2 wrt f?
192*f
Let w = 469/5 - 823/10. Let o(i) be the first derivative of -16 + 0*i**3 - w*i**2 + 0*i - 6*i**4. What is the second derivative of o(f) wrt f?
-144*f
Let h be ((-5)/25*0)/4. Suppose f - 15 = -2*u, -3*f + h*u - u + 20 = 0. Find the third derivative of -p**5 + p**2 + f*p**2 + 7*p**5 + 27*p**2 wrt p.
360*p**2
Let w(i) = -i**4 + 2*i**3 + i**2 + i. Let s(h) = -97*h**4 + 14*h**3 - 652*h**2 + 7*h. Let o(n) = -s(n) + 7*w(n). Find the third derivative of o(y) wrt y.
2160*y
Let y = 118 + -58. Find the second derivative of -14*m + 4*m + 2*m**5 + 57 - y + 16*m**3 - m**5 wrt m.
20*m**3 + 96*m
Let a(l) be the third derivative of 0*l**5 + 1/24*l**4 + 0 - 7/60*l**6 - 4*l**2 + 1/3*l**3 + 0*l. What is the second derivative of a(d) wrt d?
-84*d
Let x(s) = 573*s**3 - 1551*s**2 - 39*s - 13. Let b(w) = 287*w**3 - 775*w**2 - 18*w - 6. Let y(r) = 13*b(r) - 6*x(r). What is the third derivative of y(t) wrt t?
1758
Let h(y) be the third derivative of 4019*y**5/60 + 271*y**4/3 + 221*y**2 - 2*y - 6. What is the second derivative of h(b) wrt b?
8038
Suppose f - 3*b = -11, 15 = -f - 0*f + 4*b. Suppose 16 = p + 4. What is the derivative of -2 + f - p*g**2 - 6 - 10 wrt g?
-24*g
What is the third derivative of -22777159 - 354*a**3 + 22777159 + 2829*a**2 - 11*a**4 wrt a?
-264*a - 2124
What is the second derivative of -2500623 + x**3 + 25*x + 2500623 - 13*x**2 wrt x?
6*x - 26
Suppose -11*b - 4*c - 16 = -14*b, 4*c = -b + 32. What is the third derivative of -35*k**3 - b*k**3 - 19*k**2 - 19*k**2 wrt k?
-282
Find the third derivative of -455028 + 1578*f**5 - 217*f**5 + 121*f**2 + 455031 wrt f.
81660*f**2
Suppose 13*j - 4*j = 0. Suppose -3*s + 2*q = 4*q - 20, j = -2*s - q + 13. What is the first derivative of -s - 5 + 7*z**3 + 2 + 0 wrt z?
21*z**2
Let j(z) = z + 1. Suppose 5*y = -5*o - 60, y + o - 60 = 6*y. Let x(b) = 3*b - 14. Let k(s) = y*j(s) + 3*x(s). Find the first derivative of k(t) wrt t.
-3
What is the third derivative of -3928*y**3 + 62580*y + 3*y**2 - 61920*y - 5662*y**3 wrt y?
-57540
Let q(j) be the third derivative of 0*j**4 + 0*j - 5/21*j**7 + 0*j**3 - 1/5*j**5 + 0 + 0*j**6 + 45*j**2. Find the third derivative of q(h) wrt h.
-1200*h
Let p(i) be the second derivative of 1389*i**5/20 - i**3/6 - 57*i**2/2 - 2181*i. Differentiate p(c) with respect to c.
4167*c**2 - 1
Let q be (34/4 - (56 - 50)) + 0 + 0. Let d(c) be the second derivative of -1/6*c**4 + 0 - q*c**2 + 0*c**3 - 12*c. Find the first derivative of d(j) wrt j.
-4*j
Find the second derivative of -66 + 234 + 460*q**2 - 67 - 92 - 1314*q**2 + 29*q wrt q.
-1708
Let s(q) be the second derivative of -771*q**3/2 + 609*q**2 + q - 820. Differentiate s(k) wrt k.
-2313
Let h(j) = -32*j**3 - 257*j**2 - 15*j - 4581. Let v(s) = 9*s**3 + 64*s**2 + 4*s + 1145. Let l(x) = 4*h(x) + 15*v(x). What is the derivative of l(a) wrt a?
21*a**2 - 136*a
Suppose -7*f + 33 = 4*f. What is the first derivative of 297*j**4 - 319*j**f + 319*j**3 + 40 wrt j?
1188*j**3
Let l be ((-6)/(-45))/(88/1265) + 3/4. Let t(d) be the first derivative of 12*d**2 + l*d**3 + 11 + 0*d. Find the second derivative of t(w) wrt w.
16
Let u(n) = 8158*n**2 - 3*n - 10999. Let t(f) = 8226*f**2 - 2*f - 10999. Let j(b) = -3*t(b) + 2*u(b). What is the derivative of j(d) wrt d?
-16724*d
Suppose 0 = 5*s + j - 27, 8*s = 12*s + 5*j - 9. Find the third derivative of -190*x**2 + 22*x**s + 4*x**6 + 52*x**2 + 34*x**6 wrt x.
7200*x**3
Let y(s) be the third derivative of 7*s**5/10 + 32*s**4/3 - 300*s**2. What is the second derivative of y(d) wrt d?
84
Let f = -349 + 347. Let a(u) = -516*u + 293. Let x(r) = 103*r - 58. Let i(d) = f*a(d) - 11*x(d). What is the first derivative of i(y) wrt y?
-101
Let u(b) be the first derivative of 3937*b**3/3 - 7*b**2/2 + 15*b + 1073. What is the second derivative of u(n) wrt n?
7874
Let w(h) = h**3. Let d = -170 + 171. Let g(f) = 8*f - 132. Let k(l) = d*g(l) - 12*w(l). What is the derivative of k(t) wrt t?
-36*t**2 + 8
Let w(x) be the first derivative of 0*x + 0*x**3 + 0*x**4 - 59*x**2 - 189 + 194/5*x**5. Find the second derivative of w(g) wrt g.
2328*g**2
Let y(m) be the second derivative of -42*m**5 - m**3/6 - 252*m**2 - 1131*m. Find the second derivative of y(x) wrt x.
-5040*x
Let y = 73 + -70. Suppose -2*u + y*q = -4, 3*u - q = -4*q + 21. What is the second derivative of -5*d**5 - 36*d**5 - 18*d + 15*d**u wrt d?
-520*d**3
Suppose -4*u - 247 = 5*k, u - 4*u - 180 = 2*k. Let i = u + 83. What is the third derivative of i*g**2 - 37*g**3 + 31*g**2 - 20*g**2 wrt g?
-222
Let d(j) be the second derivative of -17/12*j**4 + 47/42*j**7 - 15*j + 5/2*j**2 - 1/30*j**6 - 3 + 0*j**3 + 0*j**5. What is the third derivative of d(c) wrt c?
2820*c**2 - 24*c
Let y(s) be the second derivative of -857*s**6/10 - 181*s**3/6 + 4*s - 122. Find the second derivative of y(b) wrt b.
-30852*b**2
Let y(c) = 3*c**3 + 30*c**2 + c + 15. Let i be y(-10). Suppose 2*h - 4 = 4. What is the second derivative of 7*z + 5*z - h*z - 2*z**2 - i*z**2 wrt z?
-14
Let h(m) be the second derivative of 1823*m**5/20 + 253*m**4/12 - 8772*m. What is the third derivative of h(b) wrt b?
10938
Let l(o) = -o + 19. Suppose -g + 6*g = -5*v - 40, -4*g = -4*v - 40. Let c be l(v). Find the third derivative of 62*h**2 - 4*h**4 + c*h**2 - 46*h**2 wrt h.
-96*h
Let l = 206 - -221. Differentiate -424*s + 16*s**4 - 12 + 852*s - l*s with respect to s.
64*s**3 + 1
Let t(j) be the second derivative of -1349*j**8/56 + 4*j**4/3 - 23*j**2 + 250*j - 1. Find the third derivative of t(s) wrt s.
-161880*s**3
Let a(q) be the second derivative of -8583*q**5/20 - 3298*q**2 + 22*q + 30. What is the first derivative of a(u) wrt u?
-25749*u**2
Let l(c) = -50*c**3 - 15*c + 1102. Let w(j) = -54*j**3 - 18*j + 1101. Let q(d) = -7*l(d) + 6*w(d). Differentiate q(y) with respect to y.
78*y**2 - 3
Suppose 0 = 7*p - 53 - 10. Differentiate 33*z + 27*z - p*z - 121 wrt z.
51
Suppose 10*q - 30 = -5*q. What is the second derivative of 15 - i - 146*i**4 - 185*i**2 + 93*i**2 + 92*i**2 - q*i wrt i?
-1752*i**2
Let o(z) be the first derivative of -z**7/2 + 89*z**3/6 - 88*z + 70. Let a(n) be the first derivative of o(n). Find the second derivative of a(i) wrt i.
-420*i**3
Let s(q) be the first derivative of q**7/7 - 3335*q**6/6 - 3779*q**3 + 11163. What is the third derivative of s(l) wrt l?
120*l**3 - 200100*l**2
Let g(w) = 28*w**2 + 9*w. Let p be g(1). What is the second derivative of 3*c**4 - 3*c**4 - 2*c**4 - 18*c - 6 + p*c**2 + 7*c**4 wrt c?
60*c**2 + 74
Let j(t) = t**2 - 20*t + 12. Let o be j(20). Suppose -o = -x - 4. Differentiate 8*s + 6 + 4 - x with respect to s.
8
Let z = -19 - 19. Let m = -33 - z. What is the second derivative of -15*b + 3*b**m - 1163*b**4 + 1163*b**4 wrt b?
60*b**3
Let a = 302 - 184. Differentiate 37 - 54 + a - 66*s**2 with respect to s.
-132*s
Suppose 19*u = 22*u - 819. Differentiate -u*j - 6*j**3 + 542*j + 170 - 273*j with respect to j.
-18*j**2 - 4
Find the second derivative of -7125*u**2 - 851*u**2 - 141 + 552*u + 194*u + 139 wrt u.
-15952
Let u(x) = 391*x**4 - 18*x + 6430. Let m(c) = 389*c**4 - 15*c + 6430. Let d(j) = 6*m(j) - 5*u(j). Differentiate d(k) wrt k.
1516*k**3
Let i(u) be the first derivative of 3985*u**4/4 - 107*u**3/3 - 17*u**2/2 + 5617. What is the third derivative of i(m) wrt m?
23910
Let p be 7/14*(15 - 1). Suppose 0 = -6*b + p*b - 3