- 21. What is -j(w) - o(w)?
-2*w**3 + 21
Let z(l) = -l**3 - l**2 + l. Let j(b) = -b**2 + b - 1. Give -j(v) + z(v).
-v**3 + 1
Let x(g) = 0 + 3*g + 0*g + 4*g**2 - 3*g**2 - 6. Let o(a) = -a**2 - 4*a + 7. What is -3*o(c) - 4*x(c)?
-c**2 + 3
Let c(s) = -2*s - 8. Let a(v) = v + 2. Let o(h) = 3*a(h) + c(h). Let i(d) = d - 3. Determine 4*i(r) - 5*o(r).
-r - 2
Let t(j) = 8*j**2 - 7*j - 22. Let y(b) = -7*b**2 + 6*b + 21. Calculate -6*t(d) - 7*y(d).
d**2 - 15
Let y(x) = -x + 2. Let j(q) = -2*q + 3. Determine 4*j(l) - 7*y(l).
-l - 2
Let y(h) = -1. Suppose c - 4 = 3*j + 10, 2*c + 5*j + 27 = 0. Let o(i) = i**2 - 5*i - 5. Let b be o(6). Let x(n) = b - n + 2*n + 0*n. Calculate c*x(l) - 3*y(l).
-l + 2
Let b(i) = 450*i**2 - 165*i. Let p(t) = 11*t**2 - 4*t. What is 4*b(u) - 165*p(u)?
-15*u**2
Let g(f) = -2*f**3 + 3*f**2 + 8*f + 3. Let l(n) = -n**3 + 2*n**2 + 9*n + 2. Determine -2*g(k) + 3*l(k).
k**3 + 11*k
Let p(a) = 4*a**2 - a - 1. Let d(j) = j**3 + j**2 + j - 1. Give 2*d(k) - p(k).
2*k**3 - 2*k**2 + 3*k - 1
Let x(s) = s. Let u(w) = -7*w + 6*w - 1 + 6*w + 0*w. Calculate -u(n) + 3*x(n).
-2*n + 1
Let j(l) = 2. Let f(m) = -m + m - m + 0. Calculate f(t) - j(t).
-t - 2
Let z(h) = -14*h. Let l(v) = -56*v. Determine -4*l(m) + 18*z(m).
-28*m
Let c(o) = -o. Let f(g) = g**3 + 3*g**2 - 6*g - 6. Let l be f(-4). Let t = 3 - 3. Suppose 0*w - 3*w - 3 = t. Let i(d) = -d. What is l*i(q) + w*c(q)?
-q
Let r(n) = 3*n + 1. Let x(p) = -5*p - 10*p - 9*p + 23*p. Determine r(i) + 5*x(i).
-2*i + 1
Let f(n) = n**3 + 3*n**2 + 3*n + 2. Let k be (-21)/(-12) + 3/12. Let i(p) = 4*p**k + 3 - 3*p**3 + 4*p + 4*p**3 + p**3. Determine -4*f(s) + 3*i(s).
2*s**3 + 1
Let v(y) = -y + 1. Let s(w) = w**3 + w**2 - w + 4. Let r be s(0). Suppose -r*z + 3 = 7. Let f(c) = 7*c - 5. Give z*f(g) - 5*v(g).
-2*g
Let d(i) = -3*i - 6. Let j(z) = -z - 2. Calculate -2*d(w) + 7*j(w).
-w - 2
Let l(j) = 6*j + 9. Let g(d) = 7*d + 9. Let v(t) = -3*g(t) + 4*l(t). Let k(q) = 73*q - 5 + 70*q - 145*q. Determine -5*k(p) - 3*v(p).
p - 2
Let t(m) = -m**2 - m - 1. Let o(k) = -4*k**2 + 7*k - 3. Let h(r) = -r**2 + r - 1. Let w(y) = -6*h(y) + o(y). What is t(p) + w(p)?
p**2 + 2
Let r(y) = -y**2 + 2*y + 3. Let x = -7 - -3. Let v(u) = -u**2 + 2*u + 2. Let m(j) = j + 10. Let p be m(-5). What is p*v(n) + x*r(n)?
-n**2 + 2*n - 2
Let h(i) = i**3 + 3*i - 5. Let k be -3*(-2 + 0 - -1). Let r be (14/(-4))/(1/2). Let y(b) = 1 + 4 + 2*b**3 + 7*b - 7 - 9. Calculate k*y(f) + r*h(f).
-f**3 + 2
Let n(m) = m - 3 + m**2 + 3*m**3 + 4*m + 0*m**2. Let k(g) = -4*g**3 - g**2 - 6*g + 4. Let t be (-7 - -10) + (-1 + 6 - 13). Give t*k(a) - 6*n(a).
2*a**3 - a**2 - 2
Let d(c) = 2*c**3. Let b(m) = 2*m**3. Determine -6*b(s) + 5*d(s).
-2*s**3
Let d(n) = 4*n**2. Let i be d(-1). Let l(b) = 6*b**3 - b**2 - 7*b + 5. Let s(o) = 5*o**3 - o**2 - 6*o + 4. Calculate i*l(j) - 5*s(j).
-j**3 + j**2 + 2*j
Let f(u) = 25*u**3 + 13*u**2 + 17*u - 13. Let b(x) be the first derivative of 3*x**4/2 + x**3 + 2*x**2 - 3*x - 11. Determine 26*b(n) - 6*f(n).
6*n**3 + 2*n
Let a(u) = -1. Let g(c) = 3*c**2 - 6. Determine 5*a(b) - g(b).
-3*b**2 + 1
Suppose 43 - 12 = 5*n - d, -3*n - 3*d = -33. Let j(k) = 5*k - 2. Let y(r) = 4*r - 2. Calculate n*y(g) - 6*j(g).
-2*g - 2
Suppose 0 = 8*k - 4*k - 64. Suppose t + 3*t = -k. Let z(p) = 14*p - 14. Let m(w) = 5*w - 5. What is t*z(l) + 11*m(l)?
-l + 1
Let d(j) = 7*j**3 + 6*j**2 + 3*j - 2. Let h(f) = -6*f**3 - 5*f**2 - 2*f + 2. What is 5*d(z) + 6*h(z)?
-z**3 + 3*z + 2
Let l(j) = 4*j**2 - 2*j + 2. Let y(m) = -11*m**2 + 5*m - 6. Calculate -8*l(d) - 3*y(d).
d**2 + d + 2
Let p(m) = 9*m**2 + 7*m - 7. Let a(n) = 11 - 3*n - n**2 - 8 - 3*n**2. Let t be (-3)/(-2)*4/(-3). Let r be t - (-2 - (-6 - 1)). What is r*a(z) - 3*p(z)?
z**2
Let m(n) = -5*n**3 + 4*n**2 + 2*n - 4. Let h(j) = -j**3 + j**2 + j - 1. Suppose -4*k - 6 = -10*k. Determine k*m(c) - 4*h(c).
-c**3 - 2*c
Let i(p) be the first derivative of -p**3 - 3*p**2/2 + 3*p + 7. Let y(v) = 9*v**2 + 8*v - 8. What is 8*i(u) + 3*y(u)?
3*u**2
Let j(c) = 3*c + 2 + 2*c - 3*c - c**2. Let s(q) = -6*q**2 + 15*q + 15. Determine -15*j(m) + 2*s(m).
3*m**2
Let n(i) = -14*i**2 + 6*i - 3. Let q(x) be the first derivative of -3*x**3 + 2*x**2 - 2*x + 10. Suppose -5*b = -0*b - 25. Calculate b*n(l) - 8*q(l).
2*l**2 - 2*l + 1
Let t(j) = -6*j. Suppose -4*r = -3*w - 1, 3*w - 3*r = -2*r - 7. Let y(l) = -l. What is w*y(a) + t(a)?
-3*a
Let x(r) = -7*r**2 + 3*r + 5. Let u(s) = -3*s**2 + s + 2. Give -5*u(a) + 2*x(a).
a**2 + a
Let y(g) = -g**3 + g**2 + 2*g - 1. Let w = -5 - -4. Let d(x) = -x + 1. Give w*y(o) - 2*d(o).
o**3 - o**2 - 1
Let c(z) = -z**2 - z + 1. Let y(r) = -5*r + 2 + 2*r - 1 - r**2. Determine -4*c(t) + 2*y(t).
2*t**2 - 2*t - 2
Let p(r) = 4*r + 11 - 2*r + 5*r**2 + 6*r**2 + 12*r. Let b(n) = 4*n**2 + 5*n + 4. Calculate -8*b(u) + 3*p(u).
u**2 + 2*u + 1
Let q(b) = 2*b**2 - 3*b**2 - 3 - 4*b**2 + 2*b + b. Let x(s) = s**2 - s + 1. Determine 2*q(g) + 6*x(g).
-4*g**2
Let t(r) be the third derivative of r**5/30 - r**4/8 + r**3/3 - 23*r**2. Let f(l) = -l**3 + 7*l**2 - 10*l + 7. Determine -4*f(g) + 14*t(g).
4*g**3 - 2*g
Suppose 13 = 7*m + 48. Let o(u) = -20*u**3 + 12*u**2 + 12*u. Let k(l) = -8*l**3 + 5*l**2 + 5*l. Give m*o(f) + 12*k(f).
4*f**3
Let g(m) = -38*m**2 + 2 + 35*m**2 - 5*m + 3*m. Let n(s) = s**2 + s. Give -g(v) - 2*n(v).
v**2 - 2
Let o(z) = 10*z + 1. Let x be o(2). Let s = -29 + x. Let f(y) = 14*y**2 - 5*y + 8. Let k(i) = 5 - 3*i - 2*i + 0*i + 2*i + 9*i**2. Determine s*k(b) + 5*f(b).
-2*b**2 - b
Let a(c) = 32*c**2 - 7*c - 2. Let j(x) = -16*x**2 + 3*x + 1. Calculate -3*a(q) - 7*j(q).
16*q**2 - 1
Let r(s) = -153*s**3 - 34*s**2 - 34*s + 34. Let l(o) = -22*o**3 - 5*o**2 - 5*o + 5. Calculate -34*l(w) + 5*r(w).
-17*w**3
Let h(p) = -p + 1. Let t(a) be the third derivative of a**4/8 - a**3/6 - 10*a**2. Calculate -2*h(v) - t(v).
-v - 1
Let n(u) = 4*u + 11. Let h be ((-9)/(-6))/(6/16). Suppose h*a = -d + 14, -3*a = 3*d - 9 - 6. Let w(p) = 2 + p + d - 1. Calculate -6*n(c) + 22*w(c).
-2*c
Let t(c) = c**2 - 3*c + 1. Let b(o) = o**2 - 3*o. Determine -4*b(x) + 3*t(x).
-x**2 + 3*x + 3
Let x(t) = -1. Let h(n) = -2*n + 3. Let o(i) = i**3 - 8*i**2 + 2*i - 11. Let b be o(8). Calculate b*x(k) + h(k).
-2*k - 2
Let n = 25 + -36. Let p = -14 - -12. Let y(k) = -21*k**3. Let o(x) = 4*x**3. Give n*o(c) + p*y(c).
-2*c**3
Let j(a) = 4*a**2 + 9*a + 6. Let y(s) = -s**2 - 1. What is j(p) + 6*y(p)?
-2*p**2 + 9*p
Let i be -1*(30/(-2))/3. Let h(a) = 4*a**2 + 4. Let f(x) = -7*x**2 - 7. Give i*h(b) + 3*f(b).
-b**2 - 1
Let q(i) = -2*i - 1. Let p(r) = -5*r - 13. Let o(s) = -2*s - 4. Let l(g) = 7*o(g) - 2*p(g). Give 4*l(c) - 7*q(c).
-2*c - 1
Let s(k) be the second derivative of -k**4/6 - k**3/6 + k**2/2 - 29*k. Let x(g) = -g**2 - g + 1. Determine 2*s(r) - 2*x(r).
-2*r**2
Let y(g) be the second derivative of -g**3/6 - g**2 - 103*g. Let p(f) = f**2 + 6*f + 1. Let r be p(-6). Let j(v) = 3 - 6 + r. Give 3*j(b) - 2*y(b).
2*b - 2
Let u be ((-12)/9)/((-4)/(-18)). Let h(w) = -4*w + 4 + 3 - 1. Let y(o) = o - 1. Determine u*y(r) - h(r).
-2*r
Let k(f) = -18*f**2. Let b(u) = 6*u**2. What is -7*b(w) - 2*k(w)?
-6*w**2
Let q(l) = l**2 + 2*l - 4. Let k be q(-3). Let j(f) = -f - 1. Suppose 0 - 2 = 4*a - 2*t, t = 1. Let m(u) = 2*u**3 + 2 - 6 - 5*u + a. Give k*m(b) + 5*j(b).
-2*b**3 - 1
Let p be (-8)/5 + (-6)/15. Let s(v) = 1 - 3 - 1 + 2. Let c(j) = -j - 1. Calculate p*s(l) + c(l).
-l + 1
Let w(c) = 25*c**2 - 3*c + 5. Let y(j) = 13*j**2 - j + 2. Give 2*w(o) - 5*y(o).
-15*o**2 - o
Let o(w) = -4*w**3 + 2*w**2 + w - 2. Let h(x) = x**3 - x**2. Let l = 5 + -1. Let v be -2 - -1 - (2 - l). Determine v*o(z) + 2*h(z).
-2*z**3 + z - 2
Let f(g) = -g - 1. Let r(m) = 4*m + 5. Let x(h) = -3*h - 4. Let d(i) = 2*r(i) + 3*x(i). Give d(y) - 2*f(y).
y
Let h(q) = 7*q**3 - 3*q**2 + 16*q - 7. Let f(x) = 8*x**3 - 4*x**2 + 17*x - 8. Calculate 5*f(s) - 6*h(s).
-2*s**3 - 2*s**2 - 11*s + 2
Let y(z) = -9*z**2 - z - 11. Let u(r) = 4*r**2 + 6. Determine 5*u(x) + 2*y(x).
2*x**2 - 2*x + 8
Let p(l) = -2*l + 10. Let c(f) = -f + 7. Determine 7*c(h) - 5*p(h).
3*h - 1
Let o(t) be the first derivative of t**3 + 3*t**2 + 6*t - 6. Let q(a) = 8*a**2 + 17*a + 17. Calculate -17*o(b) + 6*q(b).
-3*b**2
Let h(o) = -11*o**2 + 17*o - 11. Let z(u) = 5*u**2 - 8*u + 5. Suppose 5*b + t = -t + 67, -t + 40 = 3*b. Give b*z(f) + 6*h(f).
-f**2