 Determine -2*g(h) + 7*r(h).
2*h + 1
Let y(m) = -5*m. Let t(u) = -12*u + 4. Let b(g) = 8*g - 3. Let l(o) = 7*b(o) + 5*t(o). Calculate 4*l(k) - 3*y(k).
-k - 4
Let g(v) = -6*v**3 + 10*v**2 + 10*v + 8. Let x(m) = m**2 + m + 1. Determine -g(j) + 10*x(j).
6*j**3 + 2
Let l(o) = 43*o - 4. Let t(q) = -43*q + 5. What is 5*l(f) + 4*t(f)?
43*f
Let l(n) = -25 + 13 + 4*n**3 + 15 + n**3. Let o(b) = b**3 + 1. Give -l(f) + 3*o(f).
-2*f**3
Let z(w) = -4*w**3 - 2*w**2 - 12*w - 1. Let m(i) = 13*i**3 + 7*i**2 + 36*i + 2. Determine 2*m(s) + 7*z(s).
-2*s**3 - 12*s - 3
Let r(i) = 2*i - 3*i - i. Let a(b) = 6. Let o = 2 - -3. Let w(m) = -5. Let p(x) = o*w(x) + 4*a(x). What is 2*p(g) - r(g)?
2*g - 2
Let l(r) = 7*r**3 - 7*r**2 + r - 4. Let q(a) = a + 1. Let t(f) = -l(f) - 4*q(f). Let g(m) = -4*m**3 + 4*m**2 - 3*m. Calculate -10*g(v) + 6*t(v).
-2*v**3 + 2*v**2
Let z(o) = o + 1. Suppose 5*m - 2*k = 19, 5*m - 4*m + 5*k = -7. Let d(j) = -j - 5. Give m*z(l) + d(l).
2*l - 2
Suppose 0 = 2*t + 2*t - 8. Let z be ((-3)/t - -1)*2. Let r(q) = 1. Let w(m) = 5. Let d(s) = -4*r(s) + w(s). Let b(k) = 2*k + 6. Determine z*b(j) + 6*d(j).
-2*j
Let a(q) = -2. Let c(g) be the second derivative of g**3/6 - 3*g**2/2 + 19*g. Determine -3*a(n) + 2*c(n).
2*n
Let b(h) = -2*h**2 - 3*h - 4. Let q(r) = r**2 + r + 2. Let z(f) = f**2 + 6*f + 3. Let i be z(-5). Give i*b(a) - 5*q(a).
-a**2 + a - 2
Let q(t) = -11*t + 2*t + 0*t. Let o(m) = -6*m. Determine -7*o(i) + 5*q(i).
-3*i
Let o(z) = -4*z**3 + 5*z - 5. Suppose 36 = -j + 7*j. Let w(s) = 5*s**3 - 6*s + 6. Determine j*o(a) + 5*w(a).
a**3
Let s(w) = w + 1. Let v(z) = -4*z + 17. Determine 6*s(g) + v(g).
2*g + 23
Let a be 20 + (-3 - 2/(-1)). Suppose 0 = 2*f - b - 0*b - a, -5*f + 4*b = -55. Let y(p) = -p + 4. Let n(l) = -l + 5. What is f*y(m) - 6*n(m)?
-m - 2
Let i(x) = -6*x**3 + 4*x**2 - 5*x + 3. Let b(n) be the first derivative of -7*n**4/4 + 5*n**3/3 - 3*n**2 + 4*n - 4. Calculate 4*b(c) - 5*i(c).
2*c**3 + c + 1
Let i(f) = f + 1. Let h(t) = -3*t + 7. What is h(n) - 4*i(n)?
-7*n + 3
Let z(k) = -k**3 + 2*k**2 - 2*k - 30. Let x(u) = -2*u**3 + 3*u**2 - 3*u - 30. Determine -2*x(g) + 3*z(g).
g**3 - 30
Let a(y) be the third derivative of -y**4/24 + y**3/6 + 5*y**2 - 8*y. Let f be (-3)/9 - 4/6. Let s(q) = q**2 - 3 + 0*q**2 + 0. What is f*a(i) - s(i)?
-i**2 + i + 2
Let v(r) = -4*r**3 + 9*r**2 - 2*r + 1. Let t(n) = -13*n**3 + 28*n**2 - 7*n + 4. Determine 2*t(i) - 7*v(i).
2*i**3 - 7*i**2 + 1
Let j(u) = -u - 1. Let z(m) = m**3 + m**2 - 7*m - 1. Let t be z(-3). Let i(w) = -t*w - 7*w + 6*w - 4. Let h be (0 + -1)*(1 + 0). What is h*i(o) + 4*j(o)?
-o
Let l(p) = p**2 - p - 1. Let s(d) be the second derivative of -1/2*d**2 + 1/3*d**4 + 5*d - 2/3*d**3 + 0. Give -3*l(h) + s(h).
h**2 - h + 2
Let z(b) = 79*b**2 + 4*b. Let a(t) = 14062*t**2 + 711*t. Determine 4*a(n) - 711*z(n).
79*n**2
Let i(o) = -9*o - 2. Let y(v) be the third derivative of -v**4/6 - v**3/6 - 15*v**2. Let a be (6/(-4))/((-6)/8). Suppose 3*h - 4 - a = 0. Give h*i(c) - 5*y(c).
2*c + 1
Let t(d) = 2*d**2 - 5*d - 2. Let m(c) = c**3 + 3*c**2 - 4*c - 3. What is 2*m(v) - 3*t(v)?
2*v**3 + 7*v
Let k(a) = a**3 - a**2 - a - 1. Let b(y) = -32*y**3 + 40*y**2 + 40*y + 40. What is -4*b(r) - 160*k(r)?
-32*r**3
Let d(p) = 4*p**2 - 4*p - 3. Let s(i) = -7*i**2 + 7*i + 0*i**2 + i + 5. Give -5*d(b) - 3*s(b).
b**2 - 4*b
Let k(u) = -8*u + u**2 + 8*u. Let h(w) be the second derivative of 1/6*w**3 + 1/3*w**4 - 1/20*w**5 + 0 + 0*w**2 - 2*w. Calculate h(m) - 4*k(m).
-m**3 + m
Let q(u) = -2*u + 7. Let x be 6/14 - 7/(98/104). Let i(c) = 3*c - 8. Give x*q(r) - 6*i(r).
-4*r - 1
Let c(n) = -7*n**3 - 3*n + 3. Let h(i) = 112*i**3 + 49*i - 49. Determine 98*c(q) + 6*h(q).
-14*q**3
Suppose 0*z + 5*z - 15 = 0. Let x(p) = 3*p**2 - 4. Let k(o) = 3*o**2 - 3. Let i(d) = 15*d**2 - 15. Let g(s) = -4*i(s) + 21*k(s). Give z*x(r) - 4*g(r).
-3*r**2
Let c(a) = a - 3. Let k(b) = b**2 - 2*b + 2. Let j be k(3). Let o(p) be the first derivative of p + 7 - 1 + p - j. Calculate 2*c(z) + 3*o(z).
2*z
Let u(g) = -5*g**2 - 3*g. Let j(m) = 29*m**2 + 17*m. What is 6*j(v) + 34*u(v)?
4*v**2
Let m(o) = -1 + 1 + 1 - 8*o - 5*o**2. Let d = -98 + 92. Let t(v) be the third derivative of 3*v**5/20 + 5*v**4/8 - v**3/3 + 2*v**2. Determine d*t(r) - 11*m(r).
r**2 - 2*r + 1
Let j(l) = 5*l**2 - 6*l - 3. Let q(i) = -11*i**2 + 13*i + 7. Suppose s - 2*m = 3, 5*s - 2*m + 12 = -m. Determine s*q(c) - 7*j(c).
-2*c**2 + 3*c
Suppose 6*y = 3*y + 252. Suppose 0 = -5*p - 2*a + 3*a + y, 3*p + a - 44 = 0. Let s be p/24 - (-32)/6. Let w(r) = r. Let g(j) = 8*j + 1. What is s*w(c) - g(c)?
-2*c - 1
Let v(b) = -75*b + 11. Let n(h) = -15*h + 2. Let u(k) = -11*n(k) + 2*v(k). Let t(c) = -8*c. Determine 7*t(w) + 4*u(w).
4*w
Let r(u) = 27*u + 18. Let s(k) = k + 1. Determine r(d) - 18*s(d).
9*d
Let k = 2 + 5. Let h(d) = -9*d**2 - 3*d + 7. Let w(z) = 13*z**2 + 4*z - 10. Suppose -2*u - 2*n = 2*u - 26, -23 = -4*u - n. Calculate k*h(p) + u*w(p).
2*p**2 - p - 1
Let n be 2 + 2/(3 - 2). Let o(f) = 5*f**2 - 2*f. Let q(u) be the third derivative of u**5/60 - u**4/24 + 2*u**2. Give n*q(i) - o(i).
-i**2 - 2*i
Suppose -3*d = 5*w - 32, -4*d + 17 = 21. Let i(b) = -2 + 3*b**3 + 2*b + 0 + 0. Let o(z) = 10*z**3 - z**2 + 7*z - 7. What is w*i(h) - 2*o(h)?
h**3 + 2*h**2
Let p(h) = -h**3 + h + 1. Suppose 3*r - 11 - 1 = 0. Let o(w) = -7*w**3 + 4 + 5*w + 0*w + 5*w**3. What is r*p(q) - o(q)?
-2*q**3 - q
Let t(j) = -4*j + 56. Let o(x) = 2. Calculate -56*o(s) + 2*t(s).
-8*s
Let r(a) = -3*a**3 + 9*a**2 + 9*a. Suppose -6*t - 45 = -t. Suppose -123*l + 20 = -118*l. Let o(z) = -z**3 + 4*z**2 + 4*z. What is l*r(s) + t*o(s)?
-3*s**3
Let h = 29 - 33. Let b(v) = -5*v**3 + 7*v - 7. Let l(p) = -3*p**3 + 4*p - 4. Give h*b(z) + 7*l(z).
-z**3
Let d(h) = -5*h**2 + 2*h - 3. Suppose 3*n - 6 = n. Let o(v) = 4*v**2 - 4*v + 13. Let a(f) = -f**2 + f - 3. Let x(i) = -9*a(i) - 2*o(i). Give n*x(t) + d(t).
-2*t**2 - t
Let w be -1 + (1 - -2) + 3. Let v(x) = 3*x**3 - 2*x**2 - x. Let z(k) = 4*k**3 - 2*k**2 - k. Determine w*v(q) - 4*z(q).
-q**3 - 2*q**2 - q
Let u(s) = 3*s**3 + s**2 - 5. Let l(j) = 2*j**3 + j**2 - 3. Let y = 4 - 1. Give y*u(q) - 5*l(q).
-q**3 - 2*q**2
Let i = -7 - 0. Let g(l) = -2*l**2 - 3*l - 1. Let t(n) = 4*n**2 + 5*n + 2. Give i*g(w) - 4*t(w).
-2*w**2 + w - 1
Suppose -5*b + 4 + 21 = 0. Let r(v) = 3 + 3 - b. Let i(a) = a + 4. Let h be -2*(5/2)/5. Give h*i(l) + 3*r(l).
-l - 1
Let w(g) = 21*g - 1. Let x(b) = -4*b. Give 2*w(t) + 11*x(t).
-2*t - 2
Let u(v) = -19*v**3 - 5*v**2 - 4. Let j(t) = -t**2 - 1. Determine -4*j(x) + u(x).
-19*x**3 - x**2
Let b(v) = 3*v - 4. Suppose 27 = 6*m + 3. Let g(s) = 6*s - 7. Give m*g(l) - 7*b(l).
3*l
Let p(x) = 6*x**3 + 6*x - 2*x**3 - 9*x - 3. Suppose y + 6 = 3*y. Let b(c) = -c**3 + c + 1. What is y*b(r) + p(r)?
r**3
Let z(x) = -7*x + 2. Let s(f) = -f**3 - 8*f**2 + 22*f + 15. Let w be s(-10). Let o(l) = l - 1. Calculate w*o(i) - z(i).
2*i + 3
Let t(i) = 2*i**3 + 2*i**2 + i. Let z be t(-1). Let v(c) = c - 1. Let m(k) = k**2 - 5*k + 5. What is z*m(u) - 5*v(u)?
-u**2
Let q(p) = 23*p**2 - 6*p - 5. Let o(c) = 22*c**2 - 5*c - 6. Let h(g) = -6*o(g) + 5*q(g). Let m(k) = 6*k**2 - 4. Determine 4*h(y) + 11*m(y).
-2*y**2
Let u be (-1 + 1)/(1 + 0) + 6. Let m(g) = 7*g - 6. Let x(t) = 6*t - 5. Give u*x(q) - 5*m(q).
q
Let p(d) = -d**3 - d - 1. Let q(j) be the first derivative of -3*j**4/4 + j**3/3 - j**2 - 26. Give 2*p(u) - q(u).
u**3 - u**2 - 2
Let q(c) = -c**2 - 1. Let d(l) = 5*l**2 + 2*l + 14. What is d(m) + 4*q(m)?
m**2 + 2*m + 10
Suppose -2*j + 2 = 8. Let r(s) = -127 + 66 + 66 + s. Let y(h) = -h - 6. Give j*y(m) - 4*r(m).
-m - 2
Let n = -1 + 0. Let d(q) = -20 + 2*q**2 + 0*q**2 - q**3 - q**2 + 19. Let o be d(n). Let a(y) = y + 1. Let r(g) = g**2 - 4*g - 4. Calculate o*r(j) + 4*a(j).
j**2
Let d be (-1)/(-2) + 7/14. Let n(o) = -1. Let j(g) = 2*g**2 + g - 5. Determine d*j(w) - 3*n(w).
2*w**2 + w - 2
Suppose 4*d = -0*d + 12. Let b = 0 + d. Let p(i) be the first derivative of 3*i**2 - 11*i - 1. Let f(x) = 2*x - 4. Calculate b*p(j) - 8*f(j).
2*j - 1
Let k(x) = -3*x**3 - 6*x**2 - 2*x + 4. Let g(a) = 4*a**3 + 7*a**2 + 3*a - 5. Suppose 0*d + 10 = 2*d. What is d*k(p) + 4*g(p)?
p**3 - 2*p**2 + 2*p
Let m(k) = k**2 - k - 11. Let y(s) = -s**2 + s. Calculate m(z) - y(z).
2*z**2 - 2*z - 11
Let i(t) = -2 - 1 + 2. Let y(h) = -2*h - 4. Let l be 3