t r(a) = 5*a - 8. What is -11*j(i) + 4*r(i)?
-2*i + 1
Let x(h) = 4*h - 4. Let z(s) = -11*s + 11. Let b(k) = -6*k + 6. Let g(p) = -5*b(p) + 3*z(p). Calculate 5*g(l) + 4*x(l).
l - 1
Let u(n) = n**2 - 4*n - 5. Let c(t) be the first derivative of t**3/3 - t**2 - 2*t - 11. What is 5*c(g) - 2*u(g)?
3*g**2 - 2*g
Let u(t) = 14*t**3 - 11*t**2 - 8*t - 8. Let h(b) = -3*b + 10*b**3 - 4*b**2 - 4 + 1 + 0*b**2 - 5*b**3. Give 11*h(f) - 4*u(f).
-f**3 - f - 1
Let a(g) = 51*g + 63*g + 11 - 107*g. Let s(r) = -4*r - 6. Calculate -6*a(w) - 11*s(w).
2*w
Let v(h) = h - 1. Let y(n) = -5*n + 8. Give 4*v(i) + y(i).
-i + 4
Let h(l) = -3*l**3 - 6*l**2 + 13*l - 7. Let z(a) = 2*a**3 + 3*a**2 - 7*a + 4. Calculate 4*h(w) + 7*z(w).
2*w**3 - 3*w**2 + 3*w
Let a(d) = -d**2 + 6*d + 5. Let m(x) = x + 1. Let b = -98 - -62. Let w be (1/3)/((-3)/b). What is w*m(i) - a(i)?
i**2 - 2*i - 1
Let x(h) be the second derivative of 0 - 3/2*h**3 - h - 2/5*h**5 + 0*h**2 - 3/4*h**4. Let p(w) = -2*w**3 - 2*w**2 - 2*w. Give -9*p(g) + 2*x(g).
2*g**3
Let q(p) = p. Let x(u) = 8*u. Give -3*q(l) + x(l).
5*l
Let d(k) = -k**2 - 3*k + 3. Let c(w) = 2*w**2 + 7*w - 7. Let i(t) = -t**3 + 3*t + 1. Let p be i(-2). What is p*c(m) + 7*d(m)?
-m**2
Let p(o) = -5*o**2 + 3*o + 3. Let i(x) = -24*x**2 + 14*x + 14. Let s be (0 + -1)/((-1)/5). Let f be 28*((-5)/(-2))/s. Determine f*p(k) - 3*i(k).
2*k**2
Let s(b) = -3 + 2 + 1 - 4. Let v(h) = -h + 3. Suppose 5*z = -0*p - p + 8, 18 = 5*z - 4*p. What is z*s(i) + 3*v(i)?
-3*i + 1
Let y(s) = 7 - s + 0*s**2 + 0*s**3 - 5*s**2 - s**3 + 6*s. Let o be y(-6). Let w(p) = 2*p. Let r(u) = -u. Calculate o*r(b) + 6*w(b).
-b
Let o(s) be the third derivative of s**6/24 + s**4/8 + 2*s**2 - 9. Let r(b) be the third derivative of b**6/20 + b**4/6 - b**2. Give -5*o(d) + 4*r(d).
-d**3 + d
Suppose 5*o = -0*o - 35. Let h(c) be the second derivative of -c**3/6 - c. Let d(s) = -s. What is o*h(w) + 6*d(w)?
w
Let s(j) be the third derivative of -j**4/4 + 3*j**3/2 - 6*j**2. Let g(d) = -d + 2. Give 11*g(k) - 2*s(k).
k + 4
Let z(b) = b**2 + 3*b - 5. Let a(x) = 2*x**2 + 7*x - 11. Determine -4*a(q) + 9*z(q).
q**2 - q - 1
Let b(v) = v**2 + 5*v + 3. Let w be b(-3). Let o(d) = 4*d**3 - 5*d**2 - 2. Let u(h) = h + 2. Let m be u(-3). Let y(g) = -g**3 + g**2. Give m*o(a) + w*y(a).
-a**3 + 2*a**2 + 2
Suppose 17 = -5*j + 2. Let c(s) = -2*s - 2. Let t(h) = 11*h - 2. Let o(q) = -17*q + 4. Let z(w) = 5*o(w) + 8*t(w). Calculate j*z(l) - 5*c(l).
l - 2
Suppose 2*k + 6 = 5*k. Let w(x) = -2*x**3 + 2*x**2 + x - 4. Let v(f) = f - 1. Let g be v(-4). Let r(b) = -4*b**3 + 5*b**2 + 2*b - 9. What is g*w(q) + k*r(q)?
2*q**3 - q + 2
Let l(h) = 0 + 2*h + 8 - 1 - 6. Let w(m) = m + 4. Let c(i) = -3*i - 9. Let d(t) = -6*c(t) - 13*w(t). Determine -4*d(n) + 9*l(n).
-2*n + 1
Let n(x) = -x**2. Suppose 3*b + 8 = b. Let v(p) be the third derivative of 0*p + 0 - 4*p**2 + 0*p**3 + 0*p**4 - 1/60*p**5. Determine b*v(c) + 3*n(c).
c**2
Let t(p) be the first derivative of -p**2 - 5*p - 1. Let i(y) = -y - 2. Let s be 88/(-33)*(-30)/8. Let n be 18/(-15)*s/4. What is n*t(z) + 8*i(z)?
-2*z - 1
Let f(k) = -k + 9. Let j = -18 - -12. Let o(n) = -n + 8. Determine j*o(y) + 5*f(y).
y - 3
Let r(b) = -4*b - 2. Let l(z) = 16*z + 9. Calculate -2*l(c) - 9*r(c).
4*c
Let b(p) = -3*p. Let j(w) = -36*w. Let z(r) = 4*r. Let u(h) = -3*j(h) - 28*z(h). What is 5*b(x) - 4*u(x)?
x
Let a(c) = c + 1. Let z(r) be the third derivative of 2/3*r**3 + 0 + r**2 + 0*r + 1/6*r**4. Give -6*a(l) + z(l).
-2*l - 2
Let s be 3/((-9)/3)*-1. Let a(k) = -4 + 2*k**2 + 4 + 6 - s - k**3. Let c(r) = r**3 - r**2 - 3. Determine -3*a(l) - 5*c(l).
-2*l**3 - l**2
Let k(b) = -14*b**2 + 5*b - 5. Let p(q) = q**2 + q - 1. Calculate k(f) - 4*p(f).
-18*f**2 + f - 1
Suppose -5*g = -5*h - 15, g + 1 = 3*h - 2. Let x(w) be the first derivative of -6*w - 8/3*w**3 + 3*w**2 - 2. Let b(j) = j**2 - j + 1. Determine g*b(q) + x(q).
-2*q**2
Let f(c) = 4*c**3 + 19*c**2 - 4*c - 6. Let x(q) = 5*q**3 + 20*q**2 - 5*q - 7. What is -7*f(a) + 6*x(a)?
2*a**3 - 13*a**2 - 2*a
Let p(q) = 198*q - 55. Let d(n) = -11*n + 3. Calculate 55*d(z) + 3*p(z).
-11*z
Let r(b) = -b**2 + b - 1. Let z(a) = 2*a**3 - 14*a**2 + 14*a - 14. What is 56*r(k) - 4*z(k)?
-8*k**3
Let r(u) = 2*u - 11. Let q(z) = -19 + 2*z + 33 - 8 - 3*z. Let a be 40/7 + 4/14. Determine a*r(p) + 11*q(p).
p
Let j(r) = -r + 1. Let g(i) = -i**2 - 36*i + 3. What is g(c) - 4*j(c)?
-c**2 - 32*c - 1
Let m(o) = 8*o**3 + 10*o**2 - 10*o. Let b(y) = y**3 + y**2 - y. Suppose -2*n + 10 = 0, -5*u - 40 = 5*n - 15. Determine u*b(x) + m(x).
-2*x**3
Let h(x) = -14*x**3 + 2*x**2 - 3*x - 3. Let w(o) = o**3 + o + 1. Determine -h(i) - 3*w(i).
11*i**3 - 2*i**2
Let k(t) = 143*t - 77. Let d(b) = -11*b + 6. What is 77*d(j) + 6*k(j)?
11*j
Let f(v) = -v**3 + 4*v**2 + 2*v - 10. Let j be f(3). Let d(h) = -6*h**3 - 5*h**2 - 5*h. Let u(n) = 15*n**3 + 12*n**2 + 12*n. Determine j*u(m) + 12*d(m).
3*m**3
Let h(w) = -w**2 - 6*w + 1. Let x be h(-5). Let f(l) = -3*l + 23. Let j(t) be the third derivative of t**4/24 - 4*t**3/3 - 2*t**2. What is x*f(m) + 17*j(m)?
-m + 2
Let d(z) = -4*z**2 - 5*z - 3. Let c(s) = 6*s**2 - 1 - 6 + 8*s + 11 - s. Let h be (2 - (-5 - 0))*-1. Give h*d(m) - 5*c(m).
-2*m**2 + 1
Let b(v) = 2*v + 2. Let g(p) = -6*p - 5. Let u(d) = -d. Let s(m) = -m - 14. Let x(c) = s(c) - 2*u(c). Let r be x(10). What is r*g(t) - 11*b(t)?
2*t - 2
Let l(c) = 7*c**3 - 6*c**2 - 5*c + 6. Suppose 4*o + 0*o = -24. Let f(s) be the first derivative of -s**4/4 + s**3/3 + s**2/2 - s + 31. Calculate o*f(b) - l(b).
-b**3 - b
Suppose 0 = 29*s - 33*s - 16. Let z(x) = 3*x - 1. Let y(l) = 2*l. Give s*y(c) + 2*z(c).
-2*c - 2
Let u(w) be the third derivative of -5*w**4/24 + 13*w**3/6 + 20*w**2. Let c(d) = d - 3. Determine -18*c(s) - 4*u(s).
2*s + 2
Let b(v) = 2*v**3 + 4*v**2 - 4*v. Let q(m) = -3*m**2 - 6*m**2 + 7*m + 2*m**2 - 3*m**3. Give -7*b(p) - 4*q(p).
-2*p**3
Let r be (-1)/1*(-8 + 7). Let u(x) be the second derivative of x**4/6 + x**3/2 + 3*x**2/2 + 2*x. Let q = -4 - -1. Let o(h) = h + 1. Calculate q*o(z) + r*u(z).
2*z**2
Let f(x) = -2 + 2 + 5 - 5*x. Let m(p) = p**2 - 9*p + 15. Let o be m(6). Let l(g) = g - 1. What is o*l(j) - f(j)?
2*j - 2
Let x(o) = 17*o**2 - 14*o + 8. Let l(r) = 6*r**2 - 5*r + 3. Suppose 0 = 5*p - 29 + 9. Calculate p*x(j) - 11*l(j).
2*j**2 - j - 1
Let f(p) = -16*p - 26. Let s(q) = 3*q + 5. Let a(y) = 4*f(y) + 22*s(y). Let u(h) = -1. Give a(w) + 4*u(w).
2*w + 2
Let h(o) be the first derivative of -4/3*o**3 - 5/2*o**2 - 5*o - 2. Let l(u) = 5*u**2 + 6*u + 6. Give 6*h(v) + 5*l(v).
v**2
Let c(u) = -3*u + 4. Suppose 2*q - 8 = 2*b, -b - 4*q - 4 = -0*q. Let f be 0 + (-3)/(6/(-8)). Let y(p) = -f*p + 6*p + 0*p - 5 + 2. Determine b*y(r) - 3*c(r).
r
Let q = 6 - 6. Let s = 2 - q. Let b(c) = 0*c - c - 2*c + 2 + 2*c**s. Let z(t) = -t. Calculate b(o) - z(o).
2*o**2 - 2*o + 2
Let a(q) = -26*q - 26. Let s be (0 + -2 - -21) + 11 + -14. Let z(p) = -5*p - 5. What is s*z(y) - 3*a(y)?
-2*y - 2
Let w be (-162)/(-21) - (-10)/35. Suppose -w = j - 2. Let i(q) = -9*q**2 + 6*q - 6. Let p(s) = -17*s**2 + 11*s - 11. Give j*p(o) + 11*i(o).
3*o**2
Let h(d) = -4*d - 7*d + 2 - 6*d**2 + 4*d. Let s(k) = -7*k**2 - 8*k + 2. Let q(v) = 3*v. Let g be q(-2). Calculate g*h(b) + 5*s(b).
b**2 + 2*b - 2
Let a(g) = -7*g**3 + 3*g**2 + 1. Let o(m) = -m**3 + m**2 - 1. Determine -a(x) + o(x).
6*x**3 - 2*x**2 - 2
Let y(g) = 29 - 8 + 6*g**2 + 5*g - 22 - 4*g**3. Let u(d) = 5*d**3 - 7*d**2 - 6*d + 1. Calculate 5*u(p) + 6*y(p).
p**3 + p**2 - 1
Let k = -3 - -1. Let d be k - -2 - (-2 - 0). Let p(u) = -u**3 - 7 - u**3 - d. Let g(l) = l**3 + 4. What is -9*g(j) - 4*p(j)?
-j**3
Let w(y) = -3*y**2 + 8*y + 1. Let s(f) = 2*f**2 - 7*f - 1. Suppose -10 = -3*c - 2*i, 14 = c + 4*c + 4*i. Give c*s(k) + 5*w(k).
-3*k**2 - 2*k - 1
Suppose -4*w - 7 = 1. Let s(m) = 3*m**3 - 1. Let d(n) be the second derivative of -4*n**5/5 + n**4/12 + 3*n**2 - 15*n. Calculate w*d(b) - 11*s(b).
-b**3 - 2*b**2 - 1
Suppose -j - 4*t + 5*t - 17 = 0, 8 = 2*t. Let h(z) = 4*z**2 + 17*z - 2. Let u(r) = 33 + 2*r**2 - 34 + 4*r + 4*r. Give j*u(w) + 6*h(w).
-2*w**2 - 2*w + 1
Let m(l) = -7*l**3 - 2*l**2 - 3*l + 4. Let w(f) = f**3 + f - 1. What is m(t) + 3*w(t)?
-4*t**3 - 2*t**2 + 1
Let m(f) = f + 2. Let u(t) = -1. Suppose -5*g - 2*q = -2 - 4, g - 2*q = 6. Calculate g*u(h) + m(h).
h
Let l(r) = -2*r + 2.