- 8. What is -3*b(w) - 8*t(w)?
-w**3 + w**2 + 2*w
Let y(n) = 15*n + 215. Let i be y(-14). Let g(q) = -6. Let v(b) = b - 7. What is i*v(w) - 6*g(w)?
5*w + 1
Let l(p) = -14*p**2. Let r(b) = -618*b + b**2 + 618*b. What is 2*l(f) + 20*r(f)?
-8*f**2
Let f(s) = -28*s**2 + 30*s - 64. Let u(z) = 10*z**2 - 10*z + 22. Let r(y) = 3*f(y) + 8*u(y). Let t(h) = h**2 - 3*h + 5. Calculate 2*r(c) + 7*t(c).
-c**2 - c + 3
Suppose 4*n + 23 = -25. Let a(w) = -14*w - 12. Let m = 4 - 3. Suppose -4*z = -5*z - m. Let u(h) = h + 1. Give n*u(s) + z*a(s).
2*s
Let f(t) = 9*t**2 + 25*t + 7. Let h(q) = 5*q**2 + 14*q + 4. Let j(m) = -4*f(m) + 7*h(m). Let g(s) = 3*s**2 + 5*s - 1. What is -2*g(r) - 7*j(r)?
r**2 + 4*r + 2
Let t(q) = 3*q + 4. Let m(o) = 56*o + 77. Suppose -7*k + 14 = 42. Calculate k*m(g) + 77*t(g).
7*g
Let f(j) = -7*j**2 - 6*j + 2. Let l(q) = -15*q**2 - 13*q + 3. Calculate 9*f(y) - 4*l(y).
-3*y**2 - 2*y + 6
Let p(a) = -2*a**2 - 2*a + 9. Let k(d) = -3*d**3 + 5*d**2 - 4*d + 3. Let u be k(3). Let l be 18*5/u*-3. Let s(c) = c**2 + c - 5. Determine l*p(j) + 11*s(j).
-j**2 - j - 1
Let r be 15*(-369)/27 + (0 - 2). Let s(y) = -25*y**2 - 2*y - 2. Let q(k) = -2576*k**2 - 207*k - 207. What is r*s(d) + 2*q(d)?
23*d**2
Let z(b) = b**3 + 6*b**2 - 5*b - 82. Let f(a) = 3*a**3 + 14*a**2 - 11*a - 163. Give 3*f(r) - 7*z(r).
2*r**3 + 2*r + 85
Let o(r) = r - 4. Let j(t) = 6*t - 17. Calculate -2*j(y) + 11*o(y).
-y - 10
Let q(z) = 8*z**2 + 4*z + 9. Let i(u) = 23*u**2 + 11*u + 25. Give -4*i(x) + 11*q(x).
-4*x**2 - 1
Let s(a) = -3*a**3 + 4*a**2 - a. Let d(v) = -v**3 + v**2. Let w be -4 + -1 + (6 - 2). Calculate w*s(p) + 4*d(p).
-p**3 + p
Suppose 0 = -3*o + 4*s - 12 + 1, 4*o = 2*s - 8. Let q(h) = -4*h**3 + 4*h + 4. Let i(n) = -n - 1. Give o*q(d) - 4*i(d).
4*d**3
Let j(m) = -2 - 2 + 3*m**2 + 0*m**2 - 4*m + 2 - 2*m**3 - 7*m**2. Let a(s) = 2*s + 2*s**2 + 1 + s**2 + s**3 + s. What is -4*a(r) - 3*j(r)?
2*r**3 + 2
Let w(r) = -6*r - 43. Let k be w(-7). Let a(j) = j + 10 - 11 - 2*j. Let h(d) = -2*d**2 - 8*d - 5. Calculate k*h(x) + 6*a(x).
2*x**2 + 2*x - 1
Let x(l) = -21*l + 6. Let f(s) = 10*s - 3. What is 5*f(g) + 3*x(g)?
-13*g + 3
Let w(g) be the third derivative of -g**4/24 + 380*g**2 - 1. Let b(y) = 1. Give -2*b(s) + 3*w(s).
-3*s - 2
Let d(z) = -3*z + 2. Let k(o) = -6*o + 11. Let m(l) = 4*l - 7. Let s(y) = -5*k(y) - 8*m(y). Determine -5*d(g) + 8*s(g).
-g - 2
Let q(s) = 4*s**3 - 3*s**2. Let d(r) = -13*r**3 + 10*r**2 + r. Let p(o) = o**2 - 26*o + 140. Let m be p(7). Determine m*q(g) + 2*d(g).
2*g**3 - g**2 + 2*g
Let r(b) = b - 2. Let z(i) = 3*i - 9. Let n(a) = 4*r(a) - z(a). Let w(u) = -5*u + 2. Determine -4*n(q) - w(q).
q - 6
Let t(s) = -183*s**3 + 5*s**2 - 5*s - 5. Let q(z) = 275*z**3 - 7*z**2 + 7*z + 7. Determine -5*q(m) - 7*t(m).
-94*m**3
Let t(y) = 9*y**3 + 11*y**2 + 11*y. Suppose 0 = 63*j - 68*j - 55. Let s(d) = -2*d**3 - 2*d**2 - 2*d. Determine j*s(l) - 2*t(l).
4*l**3
Let j(k) = 10*k**3 + k**2 + 11*k - 4. Let l(z) = -z**3 - z. Give 2*j(x) + 22*l(x).
-2*x**3 + 2*x**2 - 8
Let r = 8 + -4. Let i(c) = -3*c**3 - c**2 + 2*c. Let a(q) = 5*q - 13*q**3 + 15*q - 5*q**2 - 11*q. Give r*a(k) - 18*i(k).
2*k**3 - 2*k**2
Let t(b) be the second derivative of b**5/20 + b**4/4 - b**3/6 - 5*b**2/2 + 18*b. Let f be t(-3). Let g(u) = 48*u. Let k(w) = -3*w. Give f*g(h) - 33*k(h).
3*h
Let z(p) be the second derivative of -p**4/12 - p**3/3 - 6*p**2 - 30*p. Let w be z(0). Let k(u) = 6*u**2 - 4. Let x(b) = b**2 - 1. Determine w*x(q) + 3*k(q).
6*q**2
Suppose -4 + 0 = -u. Let t(f) = -2*f + 5*f + 1 - u*f. Let z be -4 + -1 - (0 + 1). Let g(v) = 4*v - 6. Give z*t(n) - g(n).
2*n
Let o(z) = -3*z - 1. Let c(x) = -2*x - 2. What is -6*c(r) + 5*o(r)?
-3*r + 7
Let d(j) = j**3 + j**2 + 10*j + 12. Let a(o) = -2*o**3 - o**2 - 23*o - 24. What is -4*a(q) - 9*d(q)?
-q**3 - 5*q**2 + 2*q - 12
Let q(n) = -95*n - 13. Let i(r) = -94*r - 16. Give -4*i(t) + 5*q(t).
-99*t - 1
Let y(m) = m + 3. Let k(a) = a**2 + 3*a - 9. Let o be k(-5). Let t(n) = -8 - o - 5*n - 7. What is 4*t(s) + 22*y(s)?
2*s + 2
Let o(h) = 16*h**3 + 28*h**2 + 28*h + 28. Let t(p) = 2*p**3 - 5*p**3 - 10 - 5*p**2 + 5 - 5*p. Let z be (1 + 4)/(10 - 9). Calculate z*o(a) + 28*t(a).
-4*a**3
Let t(p) = -36*p**3 + 11*p + 11. Let o(a) = 7*a**3 - 2*a - 2. Let h = 347 + -369. What is h*o(r) - 4*t(r)?
-10*r**3
Let m(d) = -16*d**3 + 12*d**2 - 4*d. Let y(z) = z**3 - 3*z**2 + z. Let b(t) = -m(t) - 4*y(t). Let p(w) = -265*w**3. What is 45*b(x) + 2*p(x)?
10*x**3
Suppose 7*f - 3 = 6*f. Let o(r) = -r + 8 + 3*r**f - 2*r - 10 - 2. Let m(b) = b + 1. Determine -3*m(w) - o(w).
-3*w**3 + 1
Let g(z) = -42851*z**3 + 2482*z**2 + 1241*z + 1241. Let h(p) = -207*p**3 + 12*p**2 + 6*p + 6. Give 6*g(m) - 1241*h(m).
-219*m**3
Let k(g) = -6*g**3 - 14*g**2 - 14*g. Let t(p) be the third derivative of -p**6/60 - p**5/12 - 5*p**4/24 + 9*p**2 - 9*p. Give -5*k(m) + 14*t(m).
2*m**3
Let v(k) = -493*k - 17. Let x(c) = -247*c - 7. What is -2*v(u) + 5*x(u)?
-249*u - 1
Let g(i) = -2*i**3 + 5*i**2 + 2*i - 2. Let q(h) = -5*h**2 - 5*h + 3. Let o(j) = j**3 + 10*j**2 + 11*j - 6. Let k(y) = -2*o(y) - 5*q(y). Give 3*g(f) - 2*k(f).
-2*f**3 + 5*f**2
Let f(h) = h**3 - h**2 + 3*h. Let j(l) = -l**3 + l**2 - 3*l. Let x = -1 - 2. Give x*j(n) - 4*f(n).
-n**3 + n**2 - 3*n
Let p(b) = 12994*b - 365. Let j(h) = 213*h - 6. Calculate 365*j(v) - 6*p(v).
-219*v
Let i(b) = -2*b + 3. Let n(s) = s**2 + 10*s - 8. Let p be n(-16). Let k = 54 - p. Let q(u) = 12*u - 17. Determine k*i(m) - 6*q(m).
-4*m
Let t(u) = 44*u - 9. Let r(v) = -129*v + 26. Determine -6*r(m) - 17*t(m).
26*m - 3
Suppose 7*d = 3*d + 16. Let w be 4 + 40/(d - 9). Let c(p) = -5*p - 3. Let a(y) = -6*y - 4. Determine w*c(r) + 3*a(r).
2*r
Let v(p) = -23*p - 7. Let b(t) = 18*t + 8. Give -4*b(x) - 3*v(x).
-3*x - 11
Let p(f) = -7*f + 0 + 5 + 2. Let z(t) = t + 9. Let y be z(-8). Let x(n) = -n + 1. Let a(b) = -2*b + 2. Let u(i) = -2*a(i) + 3*x(i). Give y*p(o) + 6*u(o).
-o + 1
Let o(p) = -5*p**2 - p - 10. Let z(c) = 17*c**2 + 3*c + 29. Calculate 7*o(n) + 2*z(n).
-n**2 - n - 12
Let p(u) = 8*u**2 - 550*u - 2. Let x(v) = -11*v**2 + 549*v + 4. Calculate 3*p(z) + 2*x(z).
2*z**2 - 552*z + 2
Let x(n) = -3*n**3 - 2*n + 2. Let o(p) = -3*p**3 - 2*p + 3. Suppose -36 + 16 = -10*k. Calculate k*o(f) - 3*x(f).
3*f**3 + 2*f
Let y(q) = q**2 - 4. Let g(t) = -10 - 7 - 12 + 30. Let p(v) = v + 4. Let m be p(3). Let i(f) = -f**2 + 9*f - 10. Let j be i(m). Give j*g(u) + y(u).
u**2
Let s(a) = -a**3 + a - 1. Let l(t) be the first derivative of -11*t**4/4 + 9*t**2/2 - 9*t + 52. What is 2*l(w) - 18*s(w)?
-4*w**3
Let z(c) = -2*c**2 + 18*c + 6. Let j(u) = 2*u**2 - 19*u - 6. Determine 5*j(d) + 6*z(d).
-2*d**2 + 13*d + 6
Let t(b) = -b**2 - 11*b + 6. Let x(q) = -2*q**2 - 12*q + 7. Determine -4*t(p) + 3*x(p).
-2*p**2 + 8*p - 3
Let k(n) = n**3 + n + 1. Let m(s) be the third derivative of 0 - 5/6*s**3 + 0*s - 5/24*s**4 + 4*s**2 - 1/30*s**6 + 0*s**5. Determine 15*k(x) + 3*m(x).
3*x**3
Let g(k) = 5135*k - 3160. Let f(l) = 3*l - 2. Determine 4740*f(m) - 3*g(m).
-1185*m
Let f(i) be the first derivative of -5*i**4/4 + 2*i**2 + 38. Let q(w) = -9*w**3 + 7*w. Suppose 5*c = 2*g + 8, 0*c + c = 2*g + 8. What is g*q(l) + 7*f(l)?
l**3
Let d(o) = 5*o - 6. Let t(u) = -28*u + 25. Let x(l) = -58*l + 50. Let a(j) = 9*t(j) - 4*x(j). Calculate 6*a(y) + 25*d(y).
5*y
Let r(u) = -7*u + 1. Let t(y) = -7*y + 2. Let b(w) = -3*r(w) + 2*t(w). Let i(c) = -11*c - 2. Let h be 30/4 - (-5 + (-18)/(-4)). Give h*b(d) + 5*i(d).
d - 2
Let n(g) = -4*g + 30. Let j(r) = 3*r - 31. Calculate 5*j(p) + 4*n(p).
-p - 35
Let z(x) = -9*x**2 + 9*x + 19. Let q(s) = -7*s**2 + 8*s + 18. Let a(o) = -3*q(o) + 2*z(o). Let m(n) = n**2 - 2*n - 5. Give 2*a(u) - 7*m(u).
-u**2 + 2*u + 3
Let g(f) = -4*f**2 - 4*f - 13. Let c(p) = 4*p**2 + 5*p + 13. Calculate -4*c(l) - 5*g(l).
4*l**2 + 13
Let x(g) = -8*g - 7. Let l(i) = -4*i - 4. Let m(q) = -5*l(q) + 3*x(q). Let d = -114 - -110. Let z(v) = -5*v - 1. Determine d*m(k) + 3*z(k).
k + 1
Let b(k) = 3*k**2. Let u(r) = 1840*r**2. Determine -1150*b(t) + 2*u(t).
230*t**2
Let w(l) = 3*l + 2. Let q(i) be the first derivative of i**2 + 2*i - 3. Let t(a) = 4*q(a) - 5*w(a). Let v(o) = 9453 + 5*o - 9451 + o. What is -3*t(j) - 4*v(j)?
-3*j - 2
Let s(v) = -v**3 - 6*v. Suppose 16*h - 132 = -6*h. Let a(z) be the third derivative of z**6/120 + 5*z**4/24 -