- 7. Determine x*u(w) - 2*z(w).
w
Let w(s) = 2*s**2 - 5*s + 1. Suppose -3*q = -2*q + 2. Let y be (q/(-3))/((-8)/60). Let n(z) = z**2 - 2*z. Calculate y*n(i) + 2*w(i).
-i**2 + 2
Let y(z) = -3*z**2 - 2. Let a(q) = -6*q**2 - q - 4. Give -3*a(i) + 5*y(i).
3*i**2 + 3*i + 2
Let b(l) = -l**3 - 10*l**2 - 1. Let t(m) = 4*m**3 + 29*m**2 + 4. Determine -7*b(c) - 2*t(c).
-c**3 + 12*c**2 - 1
Let r(x) = -x + 1. Let g(o) = -7 + 2 - 2 - o + 4. Let j(z) = 1. Let n(m) = g(m) + 3*j(m). Give 3*n(d) - r(d).
-2*d - 1
Suppose 4*u + 0*u = 0. Suppose -3*b = -28 - 8. Suppose b = 2*j - u*j. Let h(g) = 2*g - 4. Let p(c) = -4*c + 7. Give j*p(x) + 11*h(x).
-2*x - 2
Let f(t) = -23*t**3 - 17*t**2 + 17*t + 3. Suppose 4*q = -0*q + 24. Let b(y) = 8*y**3 + 6*y**2 - 6*y - 1. What is q*f(n) + 17*b(n)?
-2*n**3 + 1
Suppose -3*u = 2*x + 26, 0*u + 11 = -x - u. Let s(f) = 5*f + 7. Let p(v) = 3*v + 4. Determine x*p(z) + 4*s(z).
-z
Let d(y) = 3*y**2 + 2*y - 2. Let b(t) be the third derivative of -t**5/60 - t**4/24 + t**3/6 + 12*t**2. Determine 6*b(l) + 3*d(l).
3*l**2
Let h(b) = b**3 + 4. Let c(g) = -1. Determine 12*c(m) + 3*h(m).
3*m**3
Let h(i) = -i**2 + 3*i + 11 + i - 4*i. Let b(a) = 2. Give -11*b(c) + 2*h(c).
-2*c**2
Let j(i) = -5*i + 3. Let n(c) = -24*c + 14. Let t(a) = 14*j(a) - 3*n(a). Let u(k) be the third derivative of 5*k**4/12 - k**2. Determine 11*t(g) - 2*u(g).
2*g
Let h(c) = -10 - 6*c + c + c + 8. Let d(k) = k**3 - 6*k**2 + 4*k - 3. Let a be d(2). Let f = a - -8. Let t(m) = 3*m + 2. Determine f*t(p) - 2*h(p).
-p - 2
Suppose 11 = 3*b - 0*b - x, -10 = 2*x. Let z(i) = i**3 + i**2 - 2*i. Let w(t) = t**3 + t + t + 0*t**2 + t**2 - 3*t. Calculate b*w(u) - z(u).
u**3 + u**2
Let x(g) = -4*g - 2. Let c(d) = -5*d - 3. Let u = 37 - 40. What is u*x(k) + 2*c(k)?
2*k
Let c(p) = 4*p**2 - 2*p - 4. Let n(g) = -9*g**2 + 5*g + 9. Determine -14*c(l) - 6*n(l).
-2*l**2 - 2*l + 2
Let a(u) be the second derivative of -u**4/4 - u**3/3 + 2*u**2 - 2*u + 24. Let y(w) = w**2 + w - 1. Suppose -4 + 0 = -z. Give z*y(c) + a(c).
c**2 + 2*c
Let i(z) = -2*z**2 + 11*z. Let l(k) = -3 - 1 - 2 - k**2. Let y be l(0). Let w(c) = -c**2 + 6*c. Calculate y*i(n) + 11*w(n).
n**2
Let j(p) = p + 1. Let s(o) = 87*o**2 + 87*o + 87. Determine -87*j(k) + s(k).
87*k**2
Let t(d) = -6*d**2 + 4*d + 1. Suppose 11 = -4*c - 9. Let x(q) = 7*q**2 - 5*q - 2. What is c*t(u) - 4*x(u)?
2*u**2 + 3
Let y(l) = -4*l - 8. Let a(b) = -3*b - 7. Let i(f) = f**2 - 6*f - 8. Let g be i(8). Suppose g*z = 5*z + 15. Determine z*y(r) - 6*a(r).
-2*r + 2
Let a(n) = 6*n - 7. Let v(p) = p - 1. Suppose 9 = -9*k - 0*k. Determine k*a(j) + 4*v(j).
-2*j + 3
Let b = -1 - -2. Let a = 5 + -3. Let q be b - (0 + a + -2). Let n(d) = -d**2 - d. Let m(t) = -t**3 + 7*t**2 + 5*t - 1. Calculate q*m(g) + 5*n(g).
-g**3 + 2*g**2 - 1
Let s(p) be the second derivative of p**3/6 - p**2/2 + 26*p. Let l(k) = -6*k + 3. What is l(c) + 5*s(c)?
-c - 2
Let x(m) = -3*m**3 + 3*m**2 - m. Let f(t) = t**2. Calculate 3*f(s) - x(s).
3*s**3 + s
Let m(g) be the second derivative of -7*g**4/12 + g**3 - 3*g**2 + 37*g. Let i(s) = -2 + 2 - 1 + s - s**2. What is 6*i(c) - m(c)?
c**2
Let p(o) = -o + 131*o**2 - 129*o**2 + o - 5. Let d(b) = -b**2 + 3. What is 5*d(h) + 3*p(h)?
h**2
Let l = -18 - -14. Let s(y) be the first derivative of -3*y**2 - 3*y + 2. Let x(g) = -g - 1. Give l*x(m) + s(m).
-2*m + 1
Let g(p) = -5*p**3 + 6*p**2 - p - 8. Let l(w) be the third derivative of -w**6/30 + w**5/12 - w**4/24 - 7*w**3/6 + 6*w**2. Calculate 5*g(r) - 6*l(r).
-r**3 + r + 2
Let r(o) = -44*o**3 + 7*o**2 - 7*o - 7. Let z(t) = -29*t**3 + 5*t**2 - 5*t - 5. Determine -5*r(p) + 7*z(p).
17*p**3
Let f(i) = -4*i**2 + 2*i + 5. Let p(d) = 9*d**2 - 4*d - 11. Determine -7*f(u) - 3*p(u).
u**2 - 2*u - 2
Let i(v) = -6*v**3 - 7*v**2 + 8*v + 1. Let u = -4 - 2. Let m(r) be the second derivative of r**5/4 + r**4/2 - 7*r**3/6 - r**2/2 + 2*r. What is u*i(p) - 7*m(p)?
p**3 + p + 1
Suppose 13 = 2*c + 3. Let l be (c*(-3 + 1))/(-2). Let f(j) = -l + j**3 + 0*j - 5*j - 8*j**3. Let v(t) = -11*t**3 - 8*t - 8. Determine -8*f(s) + 5*v(s).
s**3
Let k(m) = -4*m - 1. Let d(x) = -20*x - 5. Determine 2*d(z) - 11*k(z).
4*z + 1
Let o(b) = 2*b**2 + 2*b + 3. Let q(z) = z**2 + z + 1. What is -o(k) + 3*q(k)?
k**2 + k
Let t(j) = j. Let q(z) be the second derivative of z**3/3 - z**2/2 + 3*z - 9. What is -q(y) + 3*t(y)?
y + 1
Let x(n) = -3*n**3 - 6*n**2 - 6*n. Let f(l) = 51*l**3 - 34*l**3 - 25*l**3 - 17*l**2 - 17*l. Give -6*f(y) + 17*x(y).
-3*y**3
Let q(l) = -2*l**3 + 4*l - 3. Let t(w) = 3*w**3 - 6*w + 4. Calculate -7*q(k) - 5*t(k).
-k**3 + 2*k + 1
Let z(m) = 5*m - 7*m - 3*m - 2*m**2 + 9. Suppose 5*v - 17 = 3*f, -1 = -2*v + v + 3*f. Let r(a) = a**2 + 2*a - 4. Determine v*z(s) + 9*r(s).
s**2 - 2*s
Let a(o) = -8*o**2 + 5*o + 6. Let z(m) = -7*m**2 + 4*m + 5. Let t = -7 - -12. Suppose -3*w = 3*v - 21, t*w + v = 2*v + 29. Give w*a(s) - 7*z(s).
s**2 + 2*s + 1
Suppose 0*f - 5*r = -3*f + 23, -2*f - 14 = 4*r. Let l(j) = 8*j - 2. Let n(q) = q. Determine f*l(y) - 6*n(y).
2*y - 2
Let u(h) = -6*h + 2. Let r(g) = 1. Let k(v) = -7*v + 4. Let d(w) = k(w) - r(w). Let i(l) = 3*d(l) - 4*u(l). Let x(a) = -a. What is -i(m) - 4*x(m)?
m - 1
Let j(u) = u**2 - u - 1. Let t(r) be the first derivative of r**3/3 - 2. Suppose 0 = w - 7 + 5. Give w*t(s) - j(s).
s**2 + s + 1
Let u(o) = -3*o**2 - 5*o - 3. Let r(a) = 3*a**2 + 4*a + 2. Calculate 6*r(f) + 5*u(f).
3*f**2 - f - 3
Let c be 3/4 - (-4)/16. Suppose u - 3 = -c. Let z(r) = 5*r**3 + 6*r**2 - 2 - 3 - 4*r**3. Let a(i) = -i**2 + 1. Calculate u*z(q) + 10*a(q).
2*q**3 + 2*q**2
Let s(x) = 5*x**2 - 3*x - 1. Let p(z) = -11*z**2 + 6*z + 3. Determine 6*p(y) + 13*s(y).
-y**2 - 3*y + 5
Let n(l) = 0*l - 5*l + 4*l. Suppose -5*y + 33 = 2*x, 5 = -5*y + 30. Let b(t) = 3*t - 5*t + 1 + x*t. Give b(d) + n(d).
d + 1
Let a(f) = -3*f - 2. Let r(d) = -d + 7. Let v be r(-8). Suppose 5*m + 3*k = 6, 3*m = 2*m + 4*k + v. Let z(l) = -2*l - 1. Determine m*a(u) - 4*z(u).
-u - 2
Let o(c) = -12*c**2. Let h(d) = 323*d**2. Determine -5*h(m) - 136*o(m).
17*m**2
Let m(t) = 3*t**3 + 3*t - 5. Let s(k) = 2*k**3 + 3*k - 4. Suppose -7 - 1 = 2*h. Determine h*s(n) + 3*m(n).
n**3 - 3*n + 1
Let r(s) = -6*s**2 + 3*s. Suppose 29*h = 27*h - 6. Let m(i) = -i**2 + i. Give h*m(l) + r(l).
-3*l**2
Suppose -2*q - 2 = 8. Let t(h) be the third derivative of h**5/60 - h**4/6 + 5*h**3/6 - h**2. Let g(m) = m**2 - 2*m + 3. Give q*g(f) + 3*t(f).
-2*f**2 - 2*f
Let w(c) = 4*c**2 - 2*c - 4. Suppose 12 = 4*i - 2*n - n, -2*n - 12 = -4*i. Let l(v) = 7*v**2 - 3*v - 7. Determine i*l(f) - 5*w(f).
f**2 + f - 1
Let b(k) = k + 4. Let t(m) = -m. Let x(w) = b(w) - t(w). Let h(v) = -v - 4. Give 4*h(n) + 3*x(n).
2*n - 4
Let c(y) = 2*y - 14. Let q be (-4)/(-12) - 46/(-6). Let j(o) = -o + 5. What is q*j(x) + 3*c(x)?
-2*x - 2
Let x be 0 + 1 + (8 - 7). Let g(r) = x - 6 + r**2 - r**3 + 3. Let n(j) = 0*j**2 + 2*j**2 + 1 - 2. Give -g(m) + n(m).
m**3 + m**2
Let z(x) = 1. Let u(n) = 4*n + 3. Determine u(l) + 4*z(l).
4*l + 7
Let v(a) = -a**3 + a + 1. Let y(s) = -6*s**3 + 3*s - 1. Calculate 4*v(q) - y(q).
2*q**3 + q + 5
Let d(v) = 7*v + 7. Let o(w) = -4*w - 4. What is -3*d(f) - 5*o(f)?
-f - 1
Let m(k) = -5*k - 1. Let p(u) = 2*u. Let r = -4 - -6. Suppose 5 + 1 = 2*x. Suppose 0 = b + x*b - 24. Determine b*p(o) + r*m(o).
2*o - 2
Let p(m) = -40*m. Let a(j) = -j. Give -25*a(v) + p(v).
-15*v
Suppose 5*v - 3*j + 6 = -19, -3*v = 3*j - 9. Let p(k) = 6*k + 2. Let g(n) = 5*n + 1. Give v*p(r) + 3*g(r).
3*r - 1
Let p(m) be the first derivative of -m**4/4 + m**3/3 + m**2/2 + m + 5. Let o(z) = -6*z**3 + 2*z**2 + 5*z + 7. Give o(f) - 5*p(f).
-f**3 - 3*f**2 + 2
Let x(k) be the third derivative of k**4/3 + k**3/6 + k**2. Let v(i) = -i. Let w(s) = s**3 + 4*s**2 - 6*s - 4. Let n be w(-5). Give n*x(j) + 6*v(j).
2*j + 1
Let p(d) = -2*d**3 - 8*d**2 - 5*d - 6. Let x(h) = 2*h**3 + 7*h**2 + 4*h + 5. Determine 5*p(f) + 6*x(f).
2*f**3 + 2*f**2 - f
Let n(h) = -1. Let w(a) = 26*a**2 - 65. Determine 130*n(k) - 2*w(k).
-52*k**2
Let q(u) be the second derivative of u**4/6 - 7*u**3/6 - u**2/2 - 2*u. Let m(l) be the first derivative of q(l). Let o(i) = 3*i - 6. Determine -4*m(s) + 5*o(s).
-s - 2
Let i = -15 - -21. Let u(x) = x**2 + 4. Let z(c) = 2*c**2 + 7. What is i*z(y) - 10*u(y)?
2*y**2 + 2
Let z be (18/4)/(8/16). Let v(c) = -13*c**3 + 9*c - 8. Let a(x) 