b**3 - b**2 - 725. What is the third derivative of l(c) wrt c?
-14688
Find the first derivative of -73*r - 19*r - 1153*r**2 + 92*r + 2281 wrt r.
-2306*r
What is the second derivative of 3*w**2 - 5500*w + 35415 + 108*w**3 - 35415 wrt w?
648*w + 6
Let z be ((-16)/(-14))/(8*(-7)/(-196)). Find the second derivative of z*k - 25*k - 7*k - 87*k - 13*k**2 wrt k.
-26
Let g = -54 - -58. Find the second derivative of -733*c**4 - 62*c + 745*c**g - 22*c wrt c.
144*c**2
Let a(i) be the second derivative of 49*i**7/3 - i**3/2 + 253*i**2/2 + 159*i - 2. What is the second derivative of a(q) wrt q?
13720*q**3
Let h = 76 + -72. Suppose 0 = 6*y - 4*y - h. Find the first derivative of -4*n**2 - 3*n**2 + 15*n**2 - 18 + 7*n**y wrt n.
30*n
What is the second derivative of 1430*a**3 - 416*a**3 - 416 + 466*a**3 + a wrt a?
8880*a
Let b(w) be the first derivative of 3*w**4/2 - 2*w**3 - 369*w**2/2 + 3*w + 1624. Find the second derivative of b(j) wrt j.
36*j - 12
Let r(t) be the third derivative of -7/30*t**5 + 0*t**6 - 16/35*t**7 + 0*t + 1/6*t**3 + 15 + 0*t**4 - 3*t**2. What is the third derivative of r(c) wrt c?
-2304*c
Let b = -53 - -82. Suppose -15*y + 179 - b = 0. Find the third derivative of -13*l**4 + 17*l**4 + 3*l**4 - y*l**2 wrt l.
168*l
Let s = 9 + -10. Let w be 106*s/4*(-12)/6. Find the third derivative of -29*u - 24*u - 12*u**2 + w*u - 4*u**3 wrt u.
-24
Let z be (-2)/((-3)/(-6) - 1) + 148. Differentiate -z + 114 + 14*x**4 + 24*x**4 with respect to x.
152*x**3
Suppose 3*l + 9 = 4*s, -4*s - 3*l + 7 = -8. Let n be s - ((-6)/(-3) - (-2)/(-2)). What is the third derivative of 3*v**n - 11*v**3 - 9*v**2 - 4*v**3 wrt v?
-90
Let d(w) be the third derivative of 21*w**5/5 + 71*w**4/6 - 39*w**2 - 2*w + 2. What is the second derivative of d(l) wrt l?
504
Let q(m) = 4*m - 75. Let y(g) = 3*g + 2. Suppose 5*c + 4*a + 6 = 21, -9 = -c - 2*a. Let p(o) = c*q(o) - y(o). Find the first derivative of p(s) wrt s.
-7
Suppose -f - 65 = -5*u, -17*u - 66 = -21*u - 2*f. What is the second derivative of -47 + 8 - 51 + u + 2*m + 3 + 28*m**2 wrt m?
56
Find the third derivative of -103 - 64*v**2 + 17*v**2 + 24*v**2 + 25*v**2 + 44*v**3 wrt v.
264
Let a(j) be the second derivative of 576*j**6/5 + 6331*j**3/6 + 528*j. Find the second derivative of a(u) wrt u.
41472*u**2
What is the second derivative of 380*l - 198*l**5 + 154 - 12*l**5 - 156 wrt l?
-4200*l**3
What is the third derivative of -399*a**4 - 1489*a**4 + 4*a**2 - 2 - 1447*a**4 + 55*a wrt a?
-80040*a
Let a(w) be the second derivative of 6*w - 6 + 9/2*w**2 + 7/6*w**6 - 3/20*w**5 - 7/6*w**3 + 0*w**4. What is the second derivative of a(p) wrt p?
420*p**2 - 18*p
Let c(a) = a**3 - 30*a**2 + 59*a + 12. Let k be c(28). What is the first derivative of 16*b - 57 - 21 - k + 4*b**2 wrt b?
8*b + 16
Let c be (1 - -1)/(9/(2628/8)). Let v = -29 + c. Differentiate -9 + v + 11*l**2 + 8 wrt l.
22*l
Suppose 0 = -3*f + 9 + 3, -1082 = -5*w + 2*f. What is the first derivative of -13 + w*a**2 - 349*a**2 - 41 wrt a?
-262*a
Let o(t) = -670*t**3 + 7*t**2 - 6*t - 2614. Let h(k) = 672*k**3 - 6*k**2 + 5*k + 2618. Let c(v) = -7*h(v) - 6*o(v). What is the first derivative of c(r) wrt r?
-2052*r**2 + 1
Let r(x) = 2*x**6 - x + 1. Let d(i) = 360*i**6 - i**5 - 144*i**2 - 4*i + 4. Let w(g) = -d(g) + 4*r(g). What is the third derivative of w(k) wrt k?
-42240*k**3 + 60*k**2
Let j = 8304 + -8299. Let l(v) be the second derivative of 0*v**4 + 1/4*v**j + 0*v**2 + 0 + 3*v + 13/6*v**3. Find the second derivative of l(f) wrt f.
30*f
Suppose -4*o - 5*l = -28, 4*o - l + 10 = 7*o. What is the first derivative of 12*n**2 - 7*n**2 - 2*n**3 - 5*n**o + 120 - 12*n**3 wrt n?
-42*n**2
Let h(d) = -2*d**2 + 25*d - 6. Let i be h(10). Let y be 1 - (-42)/11 - (-8)/i. What is the third derivative of -11*a**2 + 48*a**5 - 55*a**5 + 31*a**y wrt a?
1440*a**2
Let p(f) be the second derivative of 181/30*f**6 + 0*f**5 + 4 + 0*f**4 + 33*f + 0*f**3 - 29/2*f**2. What is the first derivative of p(v) wrt v?
724*v**3
Let k(m) be the second derivative of -1/6*m**3 + 1/2*m**2 + 0*m**4 + 2*m + 23 + 0*m**5 - 34/15*m**6. Find the second derivative of k(v) wrt v.
-816*v**2
Let p = -136 + 194. Differentiate p - 12*y**4 - 20*y**4 + 11*y**4 + 68 - y with respect to y.
-84*y**3 - 1
Let d = -2338 + 2338. Let n(r) be the second derivative of -7/3*r**3 - 5*r + d - 17/12*r**4 + 0*r**2. Find the second derivative of n(w) wrt w.
-34
Suppose 53 = 3*p - 505. Suppose -p = -4*b - 170. What is the first derivative of 34 - 133*t - t**b + 133*t wrt t?
-4*t**3
Let g(l) be the third derivative of 15*l**8/56 + l**5/6 - l**4/6 - 263*l**3/6 - 839*l**2. What is the second derivative of g(a) wrt a?
1800*a**3 + 20
Find the second derivative of 28*a + 35*a + 77*a - 154*a - 2081*a**4 + 14 wrt a.
-24972*a**2
Let j(p) be the third derivative of p**7/210 - 79*p**6/15 + p**5/4 + p**4/2 - p**3/2 + 5907*p**2. Find the third derivative of j(d) wrt d.
24*d - 3792
Let y(c) = -23*c**2 - 42*c + 2. Let w(h) = 47*h - 1552*h**2 - 3 - 6*h + 1575*h**2. Let v(t) = -2*w(t) - 3*y(t). Find the second derivative of v(f) wrt f.
46
What is the first derivative of 98*f**3 - 5*f - 2251 + 110*f**3 - 405*f**3 + 97*f**3 + 5*f**2 + 96*f**3 wrt f?
-12*f**2 + 10*f - 5
Suppose -24*w = -20*w - 20. Let x be (2 + 1)/(15/w). Find the first derivative of x - 538*a - 22 + 535*a wrt a.
-3
Suppose -5*k = -6*k + 4. Suppose -84 - 20 = -26*n. Differentiate -13*o**4 + 7 - 7*o**k - 8*o**n with respect to o.
-112*o**3
Let d(h) = 11*h**2 - 7*h - 243. Let k be 17/(-136) + 110/(-16). Let c(y) = 4*y**2 - 4*y - 122. Let g(a) = k*c(a) + 4*d(a). Differentiate g(f) with respect to f.
32*f
Let d(i) be the third derivative of 4/3*i**4 + 3*i**2 + 0 + 11/10*i**5 + 0*i**3 + 0*i. What is the second derivative of d(o) wrt o?
132
Find the second derivative of -183 + 131*u**3 + 2*u**5 + 7*u**5 - 131*u**3 + 19*u**4 + 13*u**4 + 3*u wrt u.
180*u**3 + 384*u**2
Let f(b) be the second derivative of 0*b**4 + 1/15*b**6 + 0*b**5 + 143*b - b**2 + 3/2*b**3 - 13/21*b**7 + 0. What is the second derivative of f(m) wrt m?
-520*m**3 + 24*m**2
Let d(n) be the first derivative of -n**3/3 - 1677*n**2/2 + 2225*n - 2081. Find the first derivative of d(w) wrt w.
-2*w - 1677
Suppose 0 = 2*v - 3*g - 2, -13 - 3 = -4*g. Find the third derivative of -43*y**4 + 5*y**6 + 7 - 22 - y**2 + 2*y**2 - v*y**6 wrt y.
-240*y**3 - 1032*y
Let z(t) = -132*t**3 - 23*t**2 + 3829*t. Let x(a) = -88*a**3 - 15*a**2 + 2553*a. Let c(l) = 8*x(l) - 5*z(l). Find the second derivative of c(p) wrt p.
-264*p - 10
Let o be ((-3 - -3) + 13)/(6/60). What is the derivative of 290*t + 126 - o*t - 144*t wrt t?
16
Suppose 13*i - 55*i = 16*i - 1566. Let a(d) be the first derivative of 0*d - 33/4*d**4 + i + 0*d**2 + 32/3*d**3. Find the third derivative of a(p) wrt p.
-198
What is the third derivative of -15*t**3 - 6*t**2 + 5 - 7*t**3 - 19*t**3 - 15 + 54*t**3 wrt t?
78
Let w(s) be the first derivative of -169 + 3/2*s**2 + 2/3*s**3 - 22*s**4 + 42*s. What is the second derivative of w(q) wrt q?
-528*q + 4
Let l(f) = f**2 + 8*f - 15. Let n be l(12). Find the first derivative of -35 - n*d - 41 - 30 wrt d.
-225
Let r(a) = 9566*a + 22525. Let z(u) = -3188*u - 7509. Let w(g) = -3*r(g) - 8*z(g). Differentiate w(n) wrt n.
-3194
Let v(x) = 9*x**4 + 10*x - 840. Let k(i) = -i**4 - 1. Let r(b) = 2*k(b) + v(b). What is the first derivative of r(m) wrt m?
28*m**3 + 10
Suppose -5*c = 5*b - 205, -b + 40 - 5 = -2*c. Find the first derivative of -b + s**2 - 59 + 16*s**3 - 18*s**3 wrt s.
-6*s**2 + 2*s
Let d = 198 + -194. Find the third derivative of 18*i**2 + 306*i**5 - 15*i**3 + d*i**3 - 17*i**3 - 305*i**5 wrt i.
60*i**2 - 168
Find the second derivative of 55*s**2 - 2196*s**4 - 31*s**2 - 12*s**2 + 322*s - 12*s**2 wrt s.
-26352*s**2
Let q = -68 - -120. What is the first derivative of -11*v - q - 47 + 73 wrt v?
-11
What is the second derivative of -19*j**3 + 4*j**4 - 14*j**3 + 31*j**3 - 206*j**2 - 3 + 189*j**2 + 356*j + 1777*j wrt j?
48*j**2 - 12*j - 34
Find the third derivative of 33 + 1562*d - 2*d**6 - d**2 + 481 - 1564*d + 5906*d**5 wrt d.
-240*d**3 + 354360*d**2
Suppose 4*j - 24 = -2*v, -v = -2*j - 23 + 3. Let i = v - 16. What is the third derivative of i*f**2 - 5*f**3 + 0*f**2 - f**2 wrt f?
-30
Let v(d) = d**2 - 9*d + 12. Let a = 63 + -55. Let j be v(a). Find the first derivativ