- 1. What is o*n(f) + 18*c(f)?
-3*f**2
Let p(d) = 2*d**3 + 28*d**2 - 5*d - 8. Let y(k) = -3*k**3 - 66*k**2 + 11*k + 17. Determine -7*p(b) - 3*y(b).
-5*b**3 + 2*b**2 + 2*b + 5
Let p = -1043 - -1091. Let k(c) = -109 + p + 3*c**2 + 61. Let n(u) be the second derivative of -u**4/6 + u. Determine -3*k(o) - 7*n(o).
5*o**2
Let g(y) = 45*y**3 - 7*y**2 - 121*y + 52. Let a(r) = 22*r**3 - 3*r**2 - 60*r + 22. Determine 7*a(q) - 3*g(q).
19*q**3 - 57*q - 2
Let i(b) = -4*b + 3. Let g(f) = 16*f - 99. Let t(c) = 7*c + 20. Let v be t(-2). Let r be g(v). Let j(p) = -2*p + 2. What is r*i(h) + 5*j(h)?
2*h + 1
Let w(t) = -5*t**3 - 3*t**2 - 5*t - 4. Let p(d) = 2*d + 2. What is 2*p(g) + w(g)?
-5*g**3 - 3*g**2 - g
Let h(x) = -9*x**2 - 6*x - 6. Suppose -5*v + 63 = 16*v. Let u(w) = 1 + 9*w - 21*w + v*w + 10*w. What is -h(z) - 6*u(z)?
9*z**2
Let a(q) = q - 8. Let v(z) = z - 10. Let x(p) = 4*a(p) - 3*v(p). Let t(l) = 0*l - 25 + 2*l + 2 + 22. What is -3*t(w) + 2*x(w)?
-4*w - 1
Suppose 4*h - 8 = 2*r, 0 = -4*r - h + 4 + 7. Let g(x) = 8*x - 5*x - 2 - r*x + 11. Let d be g(-11). Let o(z) = -4*z**2 + 2*z. Let l(p) = -p. Give d*l(w) - o(w).
4*w**2
Suppose -21 + 16 = -9*z - 14. Suppose -8*d - 30 = -2*d. Let u(n) = -3*n**3 + 8*n + 5. Let i(f) = f**3 - f - 1. Calculate d*i(g) + z*u(g).
-2*g**3 - 3*g
Let l(p) = 13*p - 6. Let s(d) be the third derivative of 35*d**4/8 - 49*d**3/6 - 1025*d**2. What is -49*l(o) + 6*s(o)?
-7*o
Let f = -143 - -141. Let w(y) = -2*y**2 - 5*y - 7. Let m be w(f). Let s(r) = -5*r**2 - 3*r + 8. Let a(t) = 3*t**2 + 2*t - 5. Calculate m*s(x) - 8*a(x).
x**2 - x
Let r be (-26)/104 + (38/24 - (-4)/6). Let z(j) = -10*j**3 + 5*j + 5. Let d(s) = -5*s**3 + 2*s + 2. Let i be -5*(-1 - -3 - 1). Determine i*d(v) + r*z(v).
5*v**3
Let n(g) = -5*g**2 + 5*g - 4. Let b(j) = 3*j**3 + 15*j**2 - 151*j + 2. Let d be b(5). Let x(h) = 4*h**2 - 4*h + 4. Determine d*n(f) - 4*x(f).
-f**2 + f - 4
Let q(w) = 12*w - 19. Let j(c) = 13*c - 16. Calculate 7*j(n) - 6*q(n).
19*n + 2
Let p(w) = -300*w**2 + 25*w + 25. Let f(b) = 25*b**2 - 2*b - 2. Let x be (-12)/(16/4) - (63 - 41). What is x*f(j) - 2*p(j)?
-25*j**2
Let o(h) = 4*h - 7. Let j(u) = -1. Let l = -115 + 175. Let t = l + -54. What is t*j(p) - o(p)?
-4*p + 1
Let y(k) = 7*k**3 - k**2 - 2. Let o = 85 - 82. Suppose 0 = o*a + 2*q + 10, 7*a - 9*a + 2*q = 10. Let j(l) = -6*l**3 + l**2 + 2. Determine a*y(v) - 5*j(v).
2*v**3 - v**2 - 2
Let r(u) = -4995*u**2 - 13986*u - 7992. Let z(o) = -7*o - 4. Give r(q) - 1998*z(q).
-4995*q**2
Let f(y) = y**2 + y - 1. Let z(l) = 7*l**3 - 5*l**2 - 7*l + 5. Suppose 5*s - 2196 = 64. Let g = -453 + s. What is g*z(h) - 5*f(h)?
-7*h**3 + 2*h
Suppose -5479*r + 312 = -5467*r. Let y(j) = -13*j**2 + 3*j. Let o(u) = -117*u**2 + 26*u. Give r*y(p) - 3*o(p).
13*p**2
Let i(k) = 3*k**3 + 9*k**2 - 9*k + 21. Let x(v) = 4*v**2 + 0*v + 2*v - 5 - 5*v**2 + 166*v**3 - v**2 - 167*v**3. What is -4*i(g) - 18*x(g)?
6*g**3 + 6
Let d(m) = 713*m**3 + 62*m - 62. Let n(f) = 34*f**3 + 3*f - 3. Suppose -4*w + 425 = 177. What is w*n(u) - 3*d(u)?
-31*u**3
Let z(p) = 2349*p**2 + 83*p - 5. Let t(d) = 470*d**2 + 16*d - 1. Give 31*t(u) - 6*z(u).
476*u**2 - 2*u - 1
Let p(y) be the first derivative of -5*y**3 - 6*y - 12. Let l(v) = -7*v**2 - 3. Let q(t) = 9*t - 5. Let u be q(2). What is u*l(f) - 6*p(f)?
-f**2 - 3
Let d(k) = k**3 + k**2 - k. Suppose -416 = -147*w - 269. Let l(i) = i**3 + 2*i**2 + 4. Give w*l(t) - 2*d(t).
-t**3 + 2*t + 4
Let n(z) = -18*z**2 + 16*z - 9. Let c(q) = -8*q**2 + 7*q - 4. Determine 7*c(r) - 3*n(r).
-2*r**2 + r - 1
Let h(o) = 3337*o**2 - 4*o - 4. Let c(q) = 2*q**2 - 2*q - 2. What is -10*c(u) + 5*h(u)?
16665*u**2
Suppose 3*l - 26 = 5*z - 35, 0 = z + 3. Let j(v) = -11*v + 17. Let g(m) = 17*m - 25. Determine l*j(i) - 5*g(i).
3*i - 11
Let x(l) = l**3 - 33*l**2 + l + 1. Let t(s) = 35*s**2 - 2*s. Calculate 2*t(f) + 3*x(f).
3*f**3 - 29*f**2 - f + 3
Let s(u) = -2*u**2 + 16*u + 10. Let g(h) = 271 - 86 - h - 186. Suppose 5 = -27*l + 22*l. Calculate l*s(m) - 10*g(m).
2*m**2 - 6*m
Let n(v) = 1557*v - 13. Let p(f) = 522*f - 4. What is 6*n(d) - 19*p(d)?
-576*d - 2
Let x(l) = -73*l + 481. Let o(n) = -36*n + 279. What is 5*o(a) - 3*x(a)?
39*a - 48
Let c(p) = 26*p. Let s(h) = 76*h + 84. Determine 3*c(g) - s(g).
2*g - 84
Let g(q) = -q**2 + 1. Let t(m) = m**3 + 3*m**2 + 2*m - 3. Suppose 26*a - 6*a = -40. Let j be (-1 - (0 + a))/(-1). What is j*t(u) - 3*g(u)?
-u**3 - 2*u
Let m(p) = 5*p + 5. Let h(s) = -s**3 + 19*s**2 + 3*s - 43. Let b be h(19). Suppose -57*a + 50*a = b. Let o(r) = 11*r + 11. What is a*o(i) + 5*m(i)?
3*i + 3
Let v(q) = -q. Let r(n) = -3*n - 1. Let j = 198 - -11. Let g = j + -204. Give g*v(i) - r(i).
-2*i + 1
Let h be (3 + 46/(-8))*(-25 + 5). Suppose -18 = 9*l - 6*l. Let i(w) = -45*w + 55. Let z(a) = 11 - 1 - 5*a - 4. Calculate h*z(c) + l*i(c).
-5*c
Let j(n) = 2*n**2 - 4*n + 11. Let z(p) = -p**2 + 2*p - 5. Let g be 6/84*-8 + (-806)/182. Calculate g*z(u) - 2*j(u).
u**2 - 2*u + 3
Let s(p) = 9*p**2 + 11*p - 20. Let k(z) = -3*z**2 - 4*z + 7. Let y(o) = 7*o - 184. Let g be y(33). Suppose g*c = -676 - 123. Determine c*k(r) - 6*s(r).
-3*r**2 + 2*r + 1
Let z(k) = -8*k**2 - 7*k. Let c(p) = -p**2 - p. Let y(m) = 62*m + 28. Let x be y(-6). Let r = -350 - x. What is r*c(q) + z(q)?
-2*q**2 - q
Let s be ((-3)/6)/(2/(-44)). Let d(x) = -16*x + 4. Let l(i) be the third derivative of 4 + 1/8*i**4 - 1/6*i**3 + 0*i - 16*i**2. What is s*l(j) + 2*d(j)?
j - 3
Let k(g) = -6*g**3 - 9*g**2 + 167*g - 8. Let i(n) = 8*n**3 + 13*n**2 - 250*n + 11. Determine 5*i(j) + 7*k(j).
-2*j**3 + 2*j**2 - 81*j - 1
Let g(v) be the first derivative of 69*v**2/2 - 5*v + 3219. Let z(j) = 34*j - 3. Calculate 3*g(b) - 5*z(b).
37*b
Let h(g) = -10 + 4 + 6 + 9*g. Let w(n) be the first derivative of -4*n**2 + 788. What is -5*h(z) - 4*w(z)?
-13*z
Let h(b) = -2*b + 12. Let u(o) = -507*o + 34. Give -2*h(k) + u(k).
-503*k + 10
Let n(x) = -22*x**2 + 51*x - 33. Let u(g) = -8*g**2 + 17*g - 11. What is 3*n(p) - 8*u(p)?
-2*p**2 + 17*p - 11
Let n(y) be the second derivative of -7*y**4/12 + y**3/2 - 2*y**2 + 56*y. Let x(o) = -20*o**2 + 8*o - 11. Suppose -7*c + 64 = 8. What is c*n(g) - 3*x(g)?
4*g**2 + 1
Let r(u) = 44*u**3 + 16*u**2 - 194*u. Let n(w) = 5*w**3 + 2*w**2. Determine -8*n(k) + r(k).
4*k**3 - 194*k
Let q(i) = i + 1. Suppose 2*g + 35 = 5*a - 0*g, -5*g - 2 = -3*a. Let r = 103 + -101. Let k(b) = -5*b - 5. Determine a*q(z) + r*k(z).
-z - 1
Let u(n) = -10*n**3 + 4*n + 442. Let z(q) = -22*q**3 + 9*q + 885. Determine -13*u(s) + 6*z(s).
-2*s**3 + 2*s - 436
Let n(p) = -3*p + 3 + 2 + 4. Let y(s) = 1. Let b(q) = -q**3 + 14*q**2 - 83*q + 412. Let c be b(10). Give c*y(h) + 2*n(h).
-6*h
Let z(r) = -r**3 + r**2 - r + 1. Let x = 15 + -13. Let i(b) = 6*b**3 - 11*b**x + 5*b**2 + 6*b**3 + 85 + 6*b - 91. Give i(s) + 6*z(s).
6*s**3
Let w be (-5)/(-2)*(5 - 51/15). Suppose 2*j = 34 - 10. Let i(x) = -4 + 9 + w*x - j. Let q(h) = -6*h + 10. Determine 7*i(g) + 5*q(g).
-2*g + 1
Let u(b) = -18*b**2 + 37*b - 37. Let x(z) = 19*z**2 - 43*z + 36. What is 7*u(k) + 6*x(k)?
-12*k**2 + k - 43
Let x(r) = 20*r - 3. Let h(y) = 7*y + 1. Give 3*h(w) - x(w).
w + 6
Suppose 3*l - 16 = -l. Let y(m) = 2*m - 4. Let n(k) be the first derivative of k**2/2 - 2*k + 2. Suppose -2980*z = -3054*z - 666. What is l*y(h) + z*n(h)?
-h + 2
Let v(r) = -r + 1234. Let u(t) = t - 6. Calculate u(i) - v(i).
2*i - 1240
Let s(w) = -4*w. Let d(z) = z. Let p(o) = o**2 - 79*o + 435. Let c be p(6). Determine c*d(r) - s(r).
r
Let w(d) = -24521*d**3 + 42*d**2 + 42*d + 21. Let a(p) = 4904*p**3 - 8*p**2 - 8*p - 4. Determine 21*a(h) + 4*w(h).
4900*h**3
Suppose -9*b = 37*b + 49*b + 285. Let p(g) = 2*g**3 + 5*g**2 + 3*g - 3. Let w(f) = 1 - 1 - 2*f - 2*f**3 + 2 - 4*f**2. Determine b*w(i) - 2*p(i).
2*i**3 + 2*i**2
Let s(j) = 14*j - 3. Suppose x + 2*g = -15, 51 = 42*x - 47*x - 4*g. Let a(k) = -42*k + 10. What is x*s(f) - 2*a(f)?
-14*f + 1
Let c(o) = 22*o - 2. Let y(x) = 17*x - 1. Determine 3*c(d) - 4*y(d).
-2*d - 2
Let w(t) = 2*t**3 - 16*t**2 - 57*t. Let a(s) = 7*s**2 - 2*s - 2. Determine 2*a(d) + w(d).
2*d**3 - 2*d**2 - 61*d - 4
Let a(x) = 2*x**3 - 2*x**2. Let t(f) = -51233*f**3 + 58552*f**2. Determine -29276*a(j) - t(j).
-7319*j**3
Let v(d) = -3*d. Let f = -6 - -8. Let t(c) = -3*c + 1. Let u(q) = -q**3 + 24*q**2 - 23*q + 17. Let p be u(23). Suppose 55 = -p*j + 4