- 7. Calculate c*f(v) + 3*t(v).
v**3 - v - 1
Let k(o) = 8*o**2 - 72*o. Let t(f) = f. What is 2*k(c) + 144*t(c)?
16*c**2
Let u(f) = f + 1. Let a(s) = -18*s - 4. Determine -a(p) - 4*u(p).
14*p
Suppose 10*r - 8 - 12 = 0. Let a(w) = 3*w**3 - 2*w**2 - 2*w. Suppose y + 6 = 3*y. Let o(q) = 2*q - 4*q**3 + q + q**2 + 2*q**2. Determine r*o(t) + y*a(t).
t**3
Let p = 8 + -11. Let t be p/((-12)/2)*-14. Let j(r) = 6*r - 3. Let y(g) = -5*g + 3. Let s(x) = 4*j(x) + 5*y(x). Let a(i) = -4*i + 10. Determine t*s(z) + 2*a(z).
-z - 1
Let k(a) = a + 2. Let y be k(7). Let r(t) = 24*t - 6*t - 4*t**3 - 17 + y*t**2 - 10*t. Let w(v) = v**3 - 2*v**2 - 2*v + 4. What is 2*r(q) + 9*w(q)?
q**3 - 2*q + 2
Suppose 3*u = 5*t - 2*u - 15, -3*u + 26 = 4*t. Let d(p) = -2*p**2 + 3*p - 1. Let b(m) = -47*m + m**2 - 1 + m**2 - 4*m**2 + 51*m. What is t*d(k) - 4*b(k)?
-2*k**2 - k - 1
Let j(g) = -g**3 - g**2 - 3*g - 3. Let m be j(-2). Let x(z) = -3*z**2 + 4*z - 4. Let r(s) = 5*s**2 - 7*s + 7. Let w be 4*(2 - (-2 - -3)). Give m*x(o) + w*r(o).
-o**2
Let n(k) = -17*k + 15. Let w(u) be the third derivative of u**4/3 - 7*u**3/6 + 14*u**2. Give -6*n(j) - 13*w(j).
-2*j + 1
Let n(q) = 4*q + 41. Let l(x) = 2*x + 20. Determine -9*l(h) + 4*n(h).
-2*h - 16
Let c(k) = -12*k + 9. Let z(r) = -1. Let y(s) = s + 4. Let j(n) = y(n) + 5*z(n). Determine 2*c(b) + 22*j(b).
-2*b - 4
Let r(x) = 9*x + 18. Let i(o) = -o - 1. Give -18*i(p) - r(p).
9*p
Let y(k) = -2*k**2 + 3*k - 1. Let n(a) = -a**2 + a. Suppose 4*h - 20 = -0*h. What is h*n(u) - 2*y(u)?
-u**2 - u + 2
Let a(b) = -2 - 1 + 4. Let p(k) be the second derivative of -k**3/3 - 3*k**2/2 - k. Let z(y) = -6*y - 8. Let v(u) = -14*p(u) + 5*z(u). Determine 3*a(h) - v(h).
2*h + 1
Let h(c) = 3*c**3 + 5*c**2 - c - 5. Let s(r) = 5*r**3 + 10*r**2 - 3*r - 10. Let p(z) = -7*h(z) + 4*s(z). Let a(k) = k**2 - k - 1. What is -5*a(v) + p(v)?
-v**3
Let n(j) = j + 1. Let y(s) = 4*s - 9. Give -5*n(p) + y(p).
-p - 14
Let m(b) = 1. Let t(n) = -n + 1. What is -m(q) + 3*t(q)?
-3*q + 2
Let z(q) = 2*q + 3. Let c(b) = 10*b + 16. Let m(s) = 4*s + 29. Let k be m(-10). Give k*z(p) + 2*c(p).
-2*p - 1
Let n(r) = 23*r**3 + 5*r**2. Let d(o) = -35*o**3 - 8*o**2. Determine 5*d(t) + 8*n(t).
9*t**3
Suppose 2*l = 3 - 15. Let p(o) = 15*o - 17. Let s(c) be the second derivative of 7/6*c**3 + 0 - 4*c**2 + 3*c. Determine l*p(m) + 13*s(m).
m - 2
Let n(b) = b + 7. Let a be n(-8). Let d(m) = 4*m - 3*m + 135*m**2 - 136*m**2 + 1. Let g(w) = 0 - 7*w - 3 + 7*w**2 - 5. Determine a*g(x) - 6*d(x).
-x**2 + x + 2
Suppose 0 = f + 17 - 23. Let y(d) = 2*d**2 + 13*d. Let q(a) = a**2 + 7*a. Determine f*y(n) - 11*q(n).
n**2 + n
Let k be (-5)/(-1 + -2 + 4). Let a(r) = -4*r**2 + 7*r - 3. Let o(u) = 3*u**2 - 6*u + 2. Determine k*a(n) - 6*o(n).
2*n**2 + n + 3
Let r = 5 + -1. Let x(y) = y + 5. Let i(f) be the first derivative of f**2/2 + 4*f - 6. Determine r*x(u) - 5*i(u).
-u
Let w(y) = -3*y**3 + 5*y**2 - 5*y. Let d(a) = -6*a + 6. Let v be d(2). Let g(m) = -4*m**3 + 6*m**2 - 6*m. Give v*w(r) + 5*g(r).
-2*r**3
Let z(w) = -w**2. Let b(r) = r**2 - 6*r**2 + 9*r**2 + 1. Determine -b(f) - 5*z(f).
f**2 - 1
Let r(u) = u - 1. Let x(t) = -4*t + 7. Let c = 98 + -99. Determine c*x(l) - 6*r(l).
-2*l - 1
Let q = 10 + -2. Let h(l) = 5*l**2 - 5*l + 2. Let a(s) = -2*s**2 + 2*s - 1. Determine q*a(t) + 3*h(t).
-t**2 + t - 2
Let o = -13 - -13. Let d(g) = -4*g**2 + 7*g + o + 6*g**2 - 1. Let v(t) = -4*t**2 - 13*t + 2. Calculate -11*d(x) - 6*v(x).
2*x**2 + x - 1
Let c(a) = a**2 - 4*a - 3. Let k(w) = -3*w**2 + 11*w + 9. What is 8*c(j) + 3*k(j)?
-j**2 + j + 3
Let a(y) = 237*y**2 - 316*y - 316. Let i(z) = z**2 - z - 1. What is -a(u) + 316*i(u)?
79*u**2
Let w(h) = 4*h - 2. Let n(a) = -6*a + 5. Let y(b) = 5*b - 5. Let v(p) = 6*n(p) + 5*y(p). Let s = -2 - -5. What is s*v(o) + 8*w(o)?
-o - 1
Let o(l) = -7 - l**3 + 2*l + 2*l + 0*l + 0. Let p(u) = u**3 - u + 1. Let s(j) = o(j) + 5*p(j). Let g(h) = 5*h**3 - h**2 - 2*h - 3. Give -2*g(q) + 3*s(q).
2*q**3 + 2*q**2 + q
Let x(g) = 2*g**3 + g - 3. Let s(c) = -3*c**3 - c + 4. Let b(a) = -a + 7. Let n be b(6). Let y be 1/((n + -2)/(-5)). What is y*s(w) + 7*x(w)?
-w**3 + 2*w - 1
Let k(t) = -t + 1. Let f(c) = 4. Suppose 0 = -3*q + 3*p - 2*p + 15, 2*p = -5*q + 25. Suppose -u + 3 = q. What is u*k(z) + f(z)?
2*z + 2
Let w(y) = -2*y + 1. Let h(c) = 4*c - 2. What is 4*h(l) + 10*w(l)?
-4*l + 2
Let t(s) = 4*s**2 - 3*s. Let g(d) = 4*d**2 - 2*d. Let p = 20 - 18. Give p*t(n) - 3*g(n).
-4*n**2
Let v be -3*((-33)/9 + -1). Let g(l) = -3*l**2 + v*l**3 - 6*l**2 - 15 - 5*l**3. Let f(t) = 5*t**3 - 5*t**2 - 8. Determine -11*f(m) + 6*g(m).
-m**3 + m**2 - 2
Let j(x) = -5*x - 5. Let o(l) = l**2 + 13*l + 25. Let u be o(-11). Let z(t) = -4*t - 4. Calculate u*j(c) - 4*z(c).
c + 1
Let g(w) = -5*w**3 - 7*w**2 - 7*w + 6. Let b(i) = -11*i**3 - 15*i**2 - 15*i + 13. What is -6*b(k) + 13*g(k)?
k**3 - k**2 - k
Let x(w) = w + 8. Let i be x(-5). Let l(m) = -2*m**2 + 3. Let u(p) = -p**2 + 2. Calculate i*l(n) - 5*u(n).
-n**2 - 1
Let h(q) = -2*q**3 - 4*q**2 + 3*q - 5. Let z(f) = -f**3 - f**2 + f - 1. Calculate -h(n) + 3*z(n).
-n**3 + n**2 + 2
Let p(o) = -o**3 + 3*o**2 + 4. Let q(l) = -2*l**3 + 7*l**2 + 9. Calculate -7*p(f) + 3*q(f).
f**3 - 1
Let x(b) = -b**2 + b + 5. Let m be x(3). Let p(n) = n**3 + 6*n**2 + 5*n + 7. Let a(v) = -v**2 - v - 1. What is m*p(s) - 5*a(s)?
-s**3 - s**2 - 2
Let v(m) = 4*m**2 + 16*m + 16. Let a(k) = k**2 + 3*k + 3. Suppose -3*g = -5*n + 30 + 8, -38 = 2*g + 3*n. Calculate g*a(l) + 3*v(l).
-4*l**2
Let x(w) = -w - 17. Let t be x(-15). Let z(q) = 3*q - 2. Let v(r) = r - 1. Suppose -4*d = -5*i + 21, -18 = -3*i + 4*d - 7. What is i*v(u) + t*z(u)?
-u - 1
Let i(f) = 4*f**2 + 3. Let q(v) = -v**2 + 6*v - 5. Let x be q(4). Suppose 2*y + x*y + 15 = 0. Let m(k) = -3*k**2 - 2. What is y*m(z) - 2*i(z)?
z**2
Let o(c) = c - 1. Let g(w) = w - 11. Let p be g(10). Let u(n) = -4*n + 4. What is p*u(q) - 3*o(q)?
q - 1
Let d(j) = j**2 + j - 1. Let r be (10/(-30))/(1/3). Let k(g) = -4*g + 4. Determine r*k(v) - 4*d(v).
-4*v**2
Suppose -2*m + 0*c + 12 = c, 2*m - 5*c = 0. Suppose -3*i - 1 - m = 0. Let s(f) = 2*f**2 - 7*f. Let u(x) = -x**2 + 2*x. Give i*s(a) - 7*u(a).
3*a**2
Suppose 10*m - 4 = 9*m. Let q(d) = -7*d**2 + 9*d + 9. Let c(v) = 3*v**2 - 4*v - 4. Give m*q(z) + 9*c(z).
-z**2
Let x(p) = 2*p - 2. Let z be (-13)/4 - (-2)/8. Suppose -2*r = 9*r - 22. Let k(a) = -a**2 + 3*a - 3. Determine r*k(u) + z*x(u).
-2*u**2
Let f(z) = z + 5. Let o(c) = c - 3 + 1 + 8. Let m(d) = -d**2 - 3*d - 3. Let q be m(-3). Let i be ((-5)/q)/((-5)/15). Give i*f(l) + 4*o(l).
-l - 1
Let o(m) = -6*m**3. Let u(x) = x**3. Suppose i + 3 = 2*l - 4, 20 = 4*i + 4*l. Calculate i*o(w) + 9*u(w).
3*w**3
Let w(m) = 6*m**2 - 2*m - 16. Let j(c) = 11*c**2 - 4*c - 31. What is 3*j(g) - 5*w(g)?
3*g**2 - 2*g - 13
Let m(l) = -9*l**3 + 8*l + 17. Let n(a) = -6*a**3 + 5*a + 11. Determine -5*m(v) + 8*n(v).
-3*v**3 + 3
Let t(w) be the second derivative of -w**4/12 - w**3/2 + w**2/2 + 4*w. Let r(c) = c**2 + 3*c - 1. Calculate -2*r(z) - 3*t(z).
z**2 + 3*z - 1
Let c(r) be the third derivative of r**4/8 - 11*r**3/6 + 14*r**2. Let m(o) = o - 3. Determine 6*c(i) - 22*m(i).
-4*i
Suppose -t = 5*s - 6*t + 10, -s = -2*t - 1. Let k = 174 + -165. Let i(q) = 3*q**3 - 5*q. Let y(n) = 6*n**3 - 9*n. Calculate k*i(c) + s*y(c).
-3*c**3
Let t(y) = y + 4. Let w be t(-7). Let d(s) = -3*s**2 + 6*s - 14. Let f = 0 - -2. Let k(u) = -8 + 3 - u**f - u + 3*u. Determine w*d(j) + 8*k(j).
j**2 - 2*j + 2
Let y be (-10 + -3)*(4 + -3). Let o(w) = 7*w - 8. Let l(x) = 10*x + 5*x - 6 - 11. Give y*o(m) + 6*l(m).
-m + 2
Suppose -61*f = -60*f + 6. Let q(y) = -8*y + 2. Let b(o) = 7*o - 2. What is f*q(p) - 7*b(p)?
-p + 2
Let v(i) = -i**2 + i + 1. Let q(j) = -j**2 + 2*j + 1. Let n be q(2). Let f(o) = -2*o**3 - 4*o**2 + 7*o + 3. Give n*f(d) - 4*v(d).
-2*d**3 + 3*d - 1
Let o(y) = -22*y + 3. Let f(x) = x - 1. What is -3*f(b) - o(b)?
19*b
Let b(u) = 24*u + 9 + 8*u - 21*u. Let g(a) = -5*a - 4. What is 4*b(k) + 9*g(k)?
-k
Let r(d) = -d**3 - d - 2. Suppose -z = -3*c + 23, -3*c - z + 31 = -6*z. Let p(k) = -2 + c + k**2 - 1 - 3. Give -2*p(g) - r(g).
g**3 - 2*g**2 + g
Let c be ((-3)/(6/(-22)))/(-1). Let b(m) be the third derivative of -m**4/12 - m**3/6 + 46*m**2. Let g(h) = 5*h + 3. Calculate c*b(x) - 4*g(x).
2*x - 1
Let g = 8 + -8. Suppose -54 = -4*t