1
Let y(u) = -8 + 2*u**3 - 6918*u**2 + 6911*u**2 - 4*u - 3*u**3. Suppose -2*h = -10*g + 12*g + 16, g - 20 = 3*h. What is y(h)?
20
Suppose -20*a + 15 = -17*a. Suppose -a*h + 3 = 3*g, -5*h - 4*g = -2*g - 7. Let p(t) be the first derivative of 2*t**2 + 3*t + 8. Calculate p(h).
15
Suppose 23*p - 2*p + 91 = -70*p. Let o(v) = 10*v**2 - v + 1. Calculate o(p).
12
Let i(y) = -y**2 - 8*y + 86. Let j be i(6). Let d(s) = 13 - 16 + 12*s**j + 4*s - 4*s**2 - 10*s**2. Calculate d(2).
-3
Let a(k) = -k**3 + 8*k**2 - 5*k + 4. Let o = 4231 + -4227. Calculate a(o).
48
Let t be (-660)/(-1540) - (-135)/(-21). Let y(d) = -d - 5. Calculate y(t).
1
Suppose 2586 + 2692 = 182*c. Let l(x) = 6*x - 174. Give l(c).
0
Let q = 309 - 218. Let n = q - 86. Let g(m) = 3*m + 4. Let c(v) = -4*v - 5. Let o(b) = -2*c(b) - 3*g(b). Calculate o(n).
-7
Let w(j) = j**3 + 3*j + 4*j - 5 + 8*j**2 + 4. Let d = -348670 - -348663. What is w(d)?
-1
Let r(x) = -x**3 + x**2 + x + 1. Let c(a) = 3*a**3 - 7*a**2 + 3*a + 1. Let g(j) = -c(j) - 4*r(j). Let t be (-1)/((-3)/12*-1)*1. Calculate g(t).
7
Let i = -28128 + 28135. Let n(q) = -20*q + 34. Determine n(i).
-106
Let p(s) = s**2 + 11*s - 4. Let f(x) = x**3 - 12*x**2 + x - 1. Let l be f(12). Let y(j) = -3 + l*j**2 + 0 - 13*j**2 - 1 - 7*j. Let b be y(-4). Give p(b).
-28
Let d(b) be the third derivative of b**6/120 + 3*b**5/20 - 5*b**4/12 - b**3/3 + 253*b**2 + 2. Determine d(-10).
-2
Let t(i) = -6*i**2 - 41*i + 14. Let y be t(-7). Let f(m) = m**3 - 5*m**2 - 6*m - 4. What is f(y)?
52
Let a be (8/3)/((-26)/(-39)). Suppose 3*t = -a*x + 4*t - 7, 2*t = 3*x + 4. Let f(w) = -3*w + 1. Calculate f(x).
7
Let p(u) be the first derivative of -u**2/2 - 7*u + 4. Let k be 3 - 30/5*-1. Suppose 13*g = 10*g - k. What is p(g)?
-4
Let l(n) be the second derivative of -n**5/20 - 5*n**4/12 + n**3/3 - 3*n**2/2 + n. Suppose 267*v + 710 + 625 = 0. Determine l(v).
-13
Let w(n) = -8*n**2 - 19*n - 36. Let b(m) = -24*m**2 - 56*m - 99. Let l(x) = -4*b(x) + 11*w(x). Give l(-3).
27
Let p = 3 + 7. Let t(d) be the first derivative of -d**4/4 + 10*d**3/3 - 3*d**2 + 10*d + 94. Calculate t(p).
-50
Let d(w) be the first derivative of w**4/2 + 14*w**3/3 - 30*w**2 + 9*w - 400. Give d(-10).
9
Let o(n) be the second derivative of -n**4/12 + 29*n**3/6 + 49*n**2/2 + 1202*n. What is o(32)?
-47
Let j(x) = -579*x**3 - x**2 - 5 - 14*x - 14 + 290*x**3 + 290*x**3 + 13*x**2. Determine j(-13).
-6
Let r = 2343 - 2341. Let x(p) = -p**2 - 7*p + 2. Let s be x(-5). Suppose -2*k + 3 = -d - 1, -3*d = r*k + s. Let a(h) = -h**2 - h + 4. What is a(d)?
-8
Let g(o) = o**3 - 4*o**2 - o - 2. Let p be 66/44*1/(-3)*-644. Let i be (-368)/p*(-1 - (-5)/(-2)). What is g(i)?
-6
Let o(k) = k**3 - 2*k**2 + 2*k + 1. Let c(i) be the second derivative of -3*i**3/2 - 79*i**2/2 - 141*i. Let n be c(-9). Determine o(n).
5
Let w(z) = 33*z + 1 - 3 - 35*z. Let h(b) = 2*b + 1. Let i = -22 - -26. Let t(s) = i*w(s) + 3*h(s). What is t(-6)?
7
Let h(a) = 8*a + 12. Let j(z) = -55*z - 3 - 4 - 83 + 0. Let u(r) = -15*h(r) - 2*j(r). Determine u(3).
-30
Let o = 750 + -424. Let j = o + -316. Let q(f) = f - 6. Give q(j).
4
Suppose 42*o - 1632 = -230*o. Let g(c) = 3*c - 12. Let v(h) = -9*h + 37. Let i(m) = 7*g(m) + 2*v(m). What is i(o)?
8
Let d(m) = 2*m**3 + 11*m**2 - 23*m - 114. Let r(c) = c**3 + 6*c**2 - 13*c - 62. Let w(t) = -4*d(t) + 7*r(t). What is w(0)?
22
Let z(q) = 0*q**2 - 36*q**3 - 4*q**2 - 3*q**2 + 37*q**3 - 3 - 3*q - 4*q. What is z(8)?
5
Suppose 1165*m - 1161*m - 20 = 0. Let g be (m - (-170)/(-30))*12. Let f(w) be the third derivative of -w**4/24 - 5*w**3/6 + w**2. Determine f(g).
3
Let u(r) be the third derivative of 3*r**4/8 + 5*r**3/6 + 340*r**2. Let a(x) = 3*x**2 - 39*x - 46. Let s be a(14). Determine u(s).
-31
Let r(b) = -b - 3. Let m = -20 + 35. Let w be (3*(-10)/m)/1. Let t(v) = -v + 1. Let a(h) = w*t(h) + r(h). Calculate a(0).
-5
Let j(d) = 13*d**3 - d + 1. Let h = 356 + -194. Let c = h - 161. Determine j(c).
13
Let m(i) = 7*i. Let h(x) = -83*x + 31*x + 39*x. Let p(r) = 3*h(r) + 5*m(r). Give p(-3).
12
Let b(d) = 15*d - 1. Let t = 242 - 127. Let v = t - 114. Determine b(v).
14
Let q(j) = -3*j - 19. Suppose 83*i + 3*r - 13 = 87*i, 38 = 5*i + 4*r. Determine q(i).
-25
Let f(s) = -s + 43. Let l be f(40). Suppose l*k = -6, -6 = 4*w + 5*k - 0*k. Let h(n) = -4*n**3 + 2*n**2 - n. What is h(w)?
-3
Let c(s) be the first derivative of -9*s**2 - 401*s - 2887. What is c(-22)?
-5
Let z(b) = -76*b + 24*b**2 - 85*b + 34 + 152*b - 14*b**2 - 11*b**2. What is z(-13)?
-18
Let o(v) = -v**2 - 8. Let x(k) = k + 1. Let g(b) = o(b) + 5*x(b). Suppose y - 1 + 4 = 0, -19 = -d + 5*y. Let u be 15/d + ((-3)/4 - 0). What is g(u)?
3
Let f(g) be the first derivative of g**3/6 - g**2/2 - 9*g + 55. Let b(j) be the first derivative of f(j). Give b(-1).
-2
Let n(u) = -u**2 + 3*u - 1. Let y(l) be the first derivative of -5*l**3/3 + 11*l**2/2 - 4*l + 60. Let p(s) = 9*n(s) - 2*y(s). Give p(-5).
-1
Let o(k) be the second derivative of -k**5/20 - k**4/3 + k**3/3 - 6*k**2 + 2077*k. Calculate o(-6).
48
Let k(l) = 2*l**3 - l**2 - 15*l + 3. Suppose -48 + 108 = 20*r. What is k(r)?
3
Suppose 10*v + 45 = -10*v - 115. Let m(l) = -l**2 + 13*l + 164. Calculate m(v).
-4
Let f(p) be the third derivative of -7/60*p**5 - 3/8*p**4 - 5*p**2 + 0*p - 3/2*p**3 - 2 - 1/120*p**6. Calculate f(-6).
9
Let m(g) = 2*g + 7. Let s be m(-2). Let v(z) = 8 - z**2 + 15 - 23 + s*z. Determine v(-3).
-18
Let m(s) = 47 - 8 + 3045*s - 3048*s. What is m(13)?
0
Let s(c) be the second derivative of 4*c**2 - 2*c - 1/2*c**3 + 26. Determine s(4).
-4
Let w(a) be the third derivative of -a**5/30 - 91*a**4/24 + 74*a**3/3 + 1326*a**2. Determine w(-47).
7
Let t = -282 + 201. Let m = -81 - t. Let u(f) = -f**3 + 4*f**2 + 3*f + 18. Let n(s) = s**2 + s. Let r(p) = 4*n(p) - u(p). Determine r(m).
-18
Suppose 150*r - 663 - 387 = 0. Let z(h) be the third derivative of r*h**2 + 0*h - 1/12*h**4 + 1/15*h**5 - 1/6*h**3 + 0. What is z(-1)?
5
Let s(p) be the second derivative of p**4/6 - 3*p**3/2 - 25*p**2/2 + 3705*p + 2. What is s(6)?
-7
Let t(w) = -4*w - 68. Let k = -7648 + 7619. Calculate t(k).
48
Let m(t) = 12*t - 42*t + 1553*t**3 - 6 - 7*t**2 - 1552*t**3 + 1. Give m(-3).
-5
Let f(v) = -3*v + 15. Suppose -2*c + 3*o - 11 = 0, 0 = -26*c + 21*c - o + 32. Determine f(c).
0
Let f(y) = -19*y + 249. Let t(n) = 7*n + 1. Let d(g) = f(g) + t(g). What is d(21)?
-2
Let k(g) = g**2 - 2*g - 2. Let n be k(4). Let b(w) = -701*w + 1406*w - 704*w. What is b(n)?
6
Let i(s) = -s**3 + 9*s**2 - 9*s - 3. Let u(z) = -65*z - 24. Let c be u(5). Let y = -341 - c. Determine i(y).
-11
Let q(u) = -96*u**3 + 20*u**2 + 49*u - 12. Let m(v) = -61*v**3 + 13*v**2 + 33*v - 7. Let z(b) = -11*m(b) + 7*q(b). Calculate z(0).
-7
Let b(r) = r**3 - 8*r**2 + 6*r + 4. Suppose 0 = 3*s - 12, -3*o + 4*s = -88 - 217. Let i = o - 86. Suppose 0 = -v - 2*v - 2*n + i, 4*n - 35 = -5*v. What is b(v)?
-3
Let f(i) = i**3 - 19*i**2 + 20*i - 28. Let z(y) = 4*y**2 + 7*y + 16. Suppose -7*x - 26 = -12. Let t be z(x). Let o be f(t). Let n(r) = 2*r - 12. What is n(o)?
4
Let w(c) be the third derivative of -c**5/60 + 7*c**4/24 - 2*c**3 + 14*c**2 - 13*c - 7. Suppose -4*y - v + 36 = 0, -5*y - 5*v + 52 = -y. Give w(y).
-20
Let n(l) = l - 5. Let y(s) = -s - 1. Let h = 379 - 378. Let v(t) = h*n(t) + 2*y(t). Determine v(-6).
-1
Let p(r) = -r**2 + 4*r + 84 - 5*r - 15*r - 143. Let t be p(-4). Let n(h) = -h + 1 - 7 + 1. What is n(t)?
6
Suppose 150*d - 154*d = 0. Suppose -2*k - 17*k - 95 = d. Let y(l) = 5*l + 6. Calculate y(k).
-19
Let p(q) = 7*q + 70. Let c be (32/(-48))/(13/195). Determine p(c).
0
Let m(t) be the third derivative of -t**6/120 - t**5/15 - t**4/24 + t**3/2 + t**2. Let n = 162 + -154. Suppose -9*h = -n*h + 3. Determine m(h).
-3
Let u(r) = 3*r - 249. Let t(p) = p - 27. Let h(o) = 8*t(o) - u(o). Determine h(0).
33
Let u(w) = -45 - 834*w + 69 + 835*w. Give u(-10).
14
Let n(j) = j - 11*j**2 - j**3 - 19 - 2*j + 2. Let d(s) = -2*s**3 + 74*s**2 - 669*s - 198. Let b be d(17). Give n(b).
-6
Let b(x) = 27*x - 61*x + 24*x - 9*x**2 + 13*x - 3. Determine b(3).
-75
Let z(k) = -k**2 - 7*k + 2. Suppose 0 = 5*i + 5*b - 215, -2*i + 2*b = 2*i - 142. Suppose -34*h + 288 = -i*h. Let a be h/30*10/3. What is z(a)?
-6
Suppose 5*j = 4*i - 19, 5*i + 9*j = 13*j + 17. Let m(x) = 54*x - 23. What is m(i)?
31
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