 What is 6*g(t) - 11*x(t)?
t**3 - 3
Let w(i) = -2*i**2 - 4*i + 2. Let t(u) = 3*u**2 + 5*u - 1. What is 3*t(l) + 4*w(l)?
l**2 - l + 5
Let q(j) = 2 + 5*j - 7 + 2*j. Let a(g) = 6*g - 4. Suppose 25 = -p + 20. What is p*q(i) + 6*a(i)?
i + 1
Let g(d) = 4*d**3 + 8*d**2 + 8*d - 8. Let n(s) = s**3 + 3*s**2 + 3*s - 3. Suppose u = 5*u - 2*j + 18, 3*u = -5*j + 6. Give u*g(x) + 8*n(x).
-4*x**3
Let c = -3 - -2. Let r(y) be the first derivative of y**3/6 - y**2 + 1. Let v(t) be the second derivative of r(t). Let z(l) = 2*l - 1. What is c*v(h) + z(h)?
2*h - 2
Let j(a) = -a**3 + a**2 + a - 1. Let g be (2*1/6)/((-3)/9). Let p(k) = 20*k**3 - 15*k**2 - 15*k + 15. Determine g*p(i) - 15*j(i).
-5*i**3
Let p(l) = 5*l + 21. Let r(q) = -q - 4. Let a(n) = -2*p(n) - 11*r(n). Let u be a(-1). Let d(g) = 1. Let k(z) = -2*z - 4. Calculate u*k(b) + 4*d(b).
-2*b
Let v(f) = 17*f**3 + 9*f + 9. Let n(m) = -4*m - 8*m**3 + 112 + 114 - 230. What is 9*n(s) + 4*v(s)?
-4*s**3
Let l(h) = -115*h + 2. Let b(j) = 77*j - 1. Give 8*b(a) + 5*l(a).
41*a + 2
Let x(i) = -i**3 + 11*i**2 - 8*i - 9. Let f be x(10). Let c(s) = s**2 - s - f + 5 - 3*s. Let z(v) = v + 1. What is -c(y) - 4*z(y)?
-y**2 + 2
Let m(s) = 9*s**3 - 7*s**2 - 9*s. Let u(k) = 5*k**3 - 4*k**2 - 5*k. Suppose 22 = -4*j + 2*f, 5*f - 15 - 19 = 3*j. What is j*m(c) + 5*u(c)?
-2*c**3 + c**2 + 2*c
Let g(x) = 9*x**2 + 3*x + 3. Let r(k) = -17*k**2 - 7*k - 7. Calculate 7*g(z) + 3*r(z).
12*z**2
Let q(g) = -2*g**3 - 4*g - 3. Let s(x) = x**3 + 2*x + 2. Let h(t) = t**3 + 11*t**2 - 11*t + 5. Let o be h(-12). Determine o*s(b) - 4*q(b).
b**3 + 2*b - 2
Let b(y) = -6*y - 4. Let q(f) = 7*f + 5. Calculate 5*b(p) + 4*q(p).
-2*p
Let w(i) = 5*i + 3. Let k(u) = -u**3 - 14*u**2 - 2. Let f be k(-14). Let h(c) = -c**2 + 21*c + 13. Determine f*h(r) + 9*w(r).
2*r**2 + 3*r + 1
Let n(p) = -2*p**2 - 4*p + 1. Let j(m) = 4*m**2 + 9*m - 2. What is 2*j(b) + 5*n(b)?
-2*b**2 - 2*b + 1
Let b(x) = x**3 - 3*x**2 + 3*x + 1. Let u(o) = -o**2 + o + 1. Suppose -i = -3*z - 5, 2*i + 0 = 3*z + 1. Calculate z*u(t) + b(t).
t**3 - 2
Let a(d) be the second derivative of d**3/3 + 5*d**2/2 - d. Let f(k) be the third derivative of -k**4/8 - 4*k**3/3 + 4*k**2. What is -8*a(v) - 5*f(v)?
-v
Let q(m) = -2*m**2 + 2. Let t = -7 + 11. Let f(j) = -1 - 3*j**2 - 3 - 1 + 8*j**2. What is t*f(w) + 9*q(w)?
2*w**2 - 2
Let i(b) = 16*b**2 - 2*b - 1. Let k(q) = -31*q**2 + 3*q + 2. Determine -5*i(w) - 3*k(w).
13*w**2 + w - 1
Let c(n) = 4*n**3 - 16*n**2 - 6*n. Let z(t) = -t**2 - t. What is -c(r) + 6*z(r)?
-4*r**3 + 10*r**2
Let a(h) = -2*h**2 + 86*h. Let b(x) = 3*x**2 - 85*x. Give 4*a(l) + 3*b(l).
l**2 + 89*l
Let i(x) = -3*x**2 + 3*x - 2. Let l(h) = -h**3 + 7*h**2 - 3*h - 13. Let a be l(6). Let t(c) = -c**2 + c - 1. What is a*t(f) - 2*i(f)?
f**2 - f - 1
Let o(u) = -2*u**3 - 7*u. Let f(b) = -b**3 - 3*b. Let d = 10 - 7. Suppose 0 = d*j - j + 14. Give j*f(y) + 3*o(y).
y**3
Let a(q) = -q**2 + 8*q + 16. Let l be a(9). Let j(x) = -x**2 + 4*x + 4. Let n = 13 + -8. Let t(w) = w**2 - 3*w - 3. What is l*t(i) + n*j(i)?
2*i**2 - i - 1
Let v(f) = 4*f**2 - 18*f - 6. Let s(q) = 3*q**2 - 17*q - 5. Give -6*s(b) + 5*v(b).
2*b**2 + 12*b
Let k(m) = -30*m**2 - 10. Let l(h) = 10*h**2 + 3. What is 3*k(s) + 10*l(s)?
10*s**2
Let u(l) = -10*l. Let b(h) = 10*h + 65. Let s(j) = j + 6. Let a(r) = 6*b(r) - 65*s(r). Let w(m) = -7*a(m) + 4*u(m). Let i(o) = -3*o. What is 8*i(p) - 5*w(p)?
p
Let r(s) = 5*s + 3. Let i(c) = 10*c - 13. Let m be i(2). Let p(g) = 4*g + 3. What is m*p(v) - 6*r(v)?
-2*v + 3
Let i(q) = -12*q**3 - 6*q**2 - q + 6. Let j(r) = -r**3 - r**2 + 1. Give i(k) - 6*j(k).
-6*k**3 - k
Let m(c) = 11*c + 4. Let b(w) = -23*w - 9. Determine 6*b(p) + 13*m(p).
5*p - 2
Let l(t) = -621*t**2 + 81*t. Let s(q) = 31*q**2 - 4*q. What is 4*l(m) + 81*s(m)?
27*m**2
Let u(f) = 31*f + 2. Let t(o) = o. Determine -6*t(a) - u(a).
-37*a - 2
Let g(v) = 2*v**2 - 2*v - 4. Let j(c) = c - 1. Calculate -g(z) + 2*j(z).
-2*z**2 + 4*z + 2
Let y(u) = 0 + 2 - 3 + 2. Suppose 0 = -t - 3 - 3. Let o(m) = m**2 - 6. Let p be 10/(-14) + (-2)/7. What is p*o(r) + t*y(r)?
-r**2
Let m(f) = 3*f + 1. Let x(b) = 2*b + 1. Suppose -18 = 2*v + 5*r, 0 = -r - 3 + 1. Let l = v + 7. Determine l*m(u) - 5*x(u).
-u - 2
Let h be 0*(-3)/(-12)*-2. Let y(u) = -u + h + 0. Let l(z) = -z. Give -3*l(w) + 4*y(w).
-w
Let f(c) = -2*c - 12. Let m(u) = 3. Let i(b) = 1. Let o(t) = -11*i(t) + 4*m(t). Determine -f(s) - 12*o(s).
2*s
Let d(g) = -5*g**3 + 4*g**2 - 4*g - 3. Let c(v) = -9*v**3 + 8*v**2 - 7*v - 5. Give -3*c(k) + 5*d(k).
2*k**3 - 4*k**2 + k
Let q(i) = -4*i**2 - 5*i - 5. Let r(t) = t**2 + t + 1. Let c = 14 + -4. Give c*r(x) + 2*q(x).
2*x**2
Let v(b) = -b - 1. Let j(w) = -w + 3 - w - 1. Let g = 73 + -72. Calculate g*j(h) - v(h).
-h + 3
Let l(s) = 2*s**2 + 5*s + 2. Let a(o) = -2*o**2 - 6*o - 1. Calculate -3*a(p) - 4*l(p).
-2*p**2 - 2*p - 5
Let j(m) = -10*m**2 + 7*m - 10. Let r(v) = -5*v**2 - 2*v + 2 + 7*v - 2*v**2 - 9. Calculate -5*j(z) + 7*r(z).
z**2 + 1
Let z(h) = -1. Let c(m) = -3*m + 6. Calculate c(g) + 3*z(g).
-3*g + 3
Let t = -3 + 6. Suppose -2*b = -t*k - 8, -k = b + k + 3. Let l = b + 3. Let z(x) = -x**2 - 3*x. Let j(n) = n**2 + 4*n. What is l*z(r) + 3*j(r)?
-r**2
Let p(b) = 15*b**3 + 47*b**2 + 13*b - 2. Let x(i) = -8*i**3 - 24*i**2 - 7*i + 1. Give -6*p(t) - 11*x(t).
-2*t**3 - 18*t**2 - t + 1
Let w(z) = 6*z**3 + 5*z**2. Let h(b) = -5*b**3 + 2*b**2 + 7*b**2 - 25*b**2 + 12*b**2. Calculate -5*h(j) - 4*w(j).
j**3
Let h(n) = 11*n - 12. Let c(z) = 153*z - 170. Determine 6*c(u) - 85*h(u).
-17*u
Let i(f) = 5 - 1 - 3. Let m(b) = 5. Let w(z) = 4*i(z) - m(z). Let s(y) = 4. Let d(t) = s(t) + 5*w(t). Let k(g) = g + 6. Calculate 6*d(q) + k(q).
q
Let q(v) = -3*v - 1. Let c = 1 - -3. Suppose i + c*a + 38 = -2*i, 2*a = -10. Let s(x) = x + 3*x - x + 2 + x. What is i*q(m) - 4*s(m)?
2*m - 2
Let h(k) = -6*k**3 - 5*k**2 - 4*k + 5. Suppose -2*f - 14 = 4*l, 3*l - 2*f - 2 = -f. Let v(r) = r**3 + r**2 + r - 1. Determine l*h(x) - 5*v(x).
x**3 - x
Let i(p) = -3*p**2 + 21*p - 5. Let k(d) = -d**2 + 10*d - 2. Give -4*i(t) + 9*k(t).
3*t**2 + 6*t + 2
Let w(h) = -2*h - 3. Let k(b) = 1. Suppose 0 = 4*u + 5*o - 18, -u + 0*o = -3*o - 13. Let d(z) = z - 8. Let x be d(u). What is x*w(f) - 2*k(f)?
2*f + 1
Let c(o) = o**2 + o - 1. Let v(p) = -5*p**2 - 6*p + 6. Let i be (-1)/2 + 24/16. Suppose 3*r - 10 = 5*r. Let s = 11 + r. Calculate i*v(a) + s*c(a).
a**2
Let y(u) = -7*u**2 - u + 4. Let a = -91 + 89. Let w(h) = 3*h**2 + h - 2. Give a*y(p) - 5*w(p).
-p**2 - 3*p + 2
Let w(a) be the second derivative of a**5/10 + 7*a**4/12 - a**2 - 2*a + 26. Let s be 0 + 2 + -2*4. Let b(x) = 4*x - x**2 - 4*x. What is s*b(k) - w(k)?
-2*k**3 - k**2 + 2
Let x(y) = -6 + 2 + 2 + 5*y. Let g(a) = 36*a - 15. Let d be -5 + 14 + -4 - 3. Give d*g(l) - 15*x(l).
-3*l
Let y(x) = 4*x**2 - 3*x + 3. Let n(z) = -3*z**2 + 2*z - 2. Let u(v) = -v**3 + 13*v**2 + v - 7. Let g be u(13). Suppose g = -2*d - 6. Give d*n(o) - 4*y(o).
2*o**2
Let k(f) = 2*f**2 + f. Suppose 10 = -5*o + 2*b, -5*b = 5*o - o + 8. Suppose -2*y + 6 = -0. Let r(h) = -1 + 0 + y*h - 4*h. Calculate o*r(i) - k(i).
-2*i**2 + i + 2
Let z(a) = 3*a**2 + 5. Let k(o) = o**2 + o. Let p(j) = j**2 - 4*j + 8. Let b(l) = -4*k(l) - p(l). Determine 5*b(x) + 8*z(x).
-x**2
Let m(p) = -4*p - 2. Let b = -18 + 19. Suppose 2*a = -8*k + 3*k - 9, 5*a = 2*k + 21. Let n(v) = -v. Determine b*m(j) + k*n(j).
-j - 2
Let n(f) = -4*f**2 + 6*f - 6. Let s(x) = 5*x + x**2 - 3*x**2 - 5 - x**2. Let z = 112 + -117. Determine z*n(k) + 6*s(k).
2*k**2
Let d(h) = 7*h - 3. Let w(m) = 4*m - m - 3 + 2. Let u be 5 + (-1 + 1 - 0). Suppose -u*g + 14 = 2*g. Give g*d(i) - 5*w(i).
-i - 1
Let i(k) = 5*k**2 + 4*k - 4. Let l = 12 - 6. Let g(h) = -8 + 5*h + 1 + 2 + 0*h**2 + l*h**2. Calculate -4*g(d) + 5*i(d).
d**2
Let h(p) = -p**2 - p - 5. Let i(u) = u + 1. Determine -h(z) - 4*i(z).
z**2 - 3*z + 1
Let p(x) = x. Let g(a) = -5*a + 4. Let u(v) = -g(v) - 6*p(v). Let t(i) = -i - 5. Determine -6*t(l) + 7*u(l).
-l + 2
Let f(b) = -b - 7. Let z(c) = -2*c - 10. Let j(u) = -10*f(u) + 6*z(u). Let k(d) = -2*d**3 + d. Let s be k(-1). Let a(o) = 1. Determine s*j(m) - 12*a(m).
-2*m - 2
Let u(a) = -3*a**3 - 8*a**2 + 7*a + 6. Let p(c) = 8*c**3 + 23*c**2 - 20*c - 17. Determine -6*p(t) - 17*u(t).
3*t**3 - 2*t**2 + t
Let w = -104 - -105. Suppose -3*u + 3 = -6*u. Let g(y