3*j
Let s(p) be the first derivative of -p**2/2 - 1. Let z(b) be the third derivative of b**4/8 - 3*b**2. Suppose -6*n = -2*n + 20. Give n*s(x) - 2*z(x).
-x
Let n(g) = -13*g + 2. Let z(x) = -7*x + 1. Suppose -2*r = -7*r + 35. Let f = 4 + r. Calculate f*z(i) - 6*n(i).
i - 1
Let j(k) = -3*k**2 + 3*k - 3. Let u(t) = -4*t**2 + 4*t - 9. Let v(h) = -10*h**2 + 10*h - 22. Let i(y) = 12*u(y) - 5*v(y). Calculate -4*i(n) - 3*j(n).
n**2 - n + 1
Suppose -22*k = -24*k - 16. Let z(j) = 11*j. Let a(t) = 20*t - 2*t - t + 0*t. Calculate k*z(g) + 5*a(g).
-3*g
Let m(f) = -2*f**3 - 5*f**2 - f - 4. Let h(y) = 2*y**3 + 6*y**2 + 5. Calculate -4*h(x) - 5*m(x).
2*x**3 + x**2 + 5*x
Let f(g) = 8*g. Let c(b) = 230 - 3*b + 4*b - 230. What is -2*c(i) + f(i)?
6*i
Let a(o) = -4*o**2 + 2. Let n(x) = -x**3 + 9*x**2 - 5. What is -5*a(q) - 2*n(q)?
2*q**3 + 2*q**2
Let t(q) be the first derivative of -7*q**3/3 + 9*q**2/2 - 9*q + 5. Let c(p) = -3*p**2 + 4*p - 4. What is 9*c(f) - 4*t(f)?
f**2
Let d(x) = x**3 - 4*x**2 + 3*x - 2. Let q(a) = -11 - 5*a**3 + 21*a**2 - 16*a - 2 + 24. Determine 11*d(r) + 2*q(r).
r**3 - 2*r**2 + r
Let l(w) = -4*w - 5. Let k(j) = 2*j + 2. Give -9*k(c) - 4*l(c).
-2*c + 2
Let v(m) = -15*m**2 + 3*m. Let n(u) = -30*u**2 + 7*u. Calculate -4*n(t) + 9*v(t).
-15*t**2 - t
Let m(u) = 5*u**2 - 2*u**2 - 2*u**2 - 7. Let r(w) = 6 - 8 + 4. What is -2*m(t) - 7*r(t)?
-2*t**2
Let n(k) be the first derivative of -8*k**3/3 - 4*k - 20. Let j(w) = w**2 + 1. Give -4*j(d) - n(d).
4*d**2
Let q(s) = -1 - 6*s + 0*s - 1. Let r(v) = -7*v - 2. Suppose -p + 8*p - 42 = 0. Let t = 8 + -13. Determine p*q(h) + t*r(h).
-h - 2
Let j(z) = -3752*z**2 + 168*z. Let g(q) = 112*q**2 - 5*q. Give 168*g(r) + 5*j(r).
56*r**2
Let h(o) = o**2 - 3*o. Let n(i) = i**2 - i. Determine h(f) - 4*n(f).
-3*f**2 + f
Let j be 22/(-4)*(-1 + 3). Let w(p) = -p**3 - 4*p. Let b(c) be the third derivative of -c**6/40 - 11*c**4/24 + c**2. Determine j*w(q) + 4*b(q).
-q**3
Let p(r) be the second derivative of r**3/6 + 3*r**2/2 + 7*r. Let n(f) be the first derivative of p(f). Let c(b) = 3*b**2 + b - 2. Calculate c(t) + 2*n(t).
3*t**2 + t
Let b be (-26)/(-3)*6/4. Let a(j) = -j**2 + 6*j. Let p(d) = 2*d**2 - 13*d. Determine b*a(q) + 6*p(q).
-q**2
Let n(d) = d. Let b(g) = -g - 1. What is -4*b(l) - 7*n(l)?
-3*l + 4
Let z(w) = 4*w**3 - w**2 + w - 1. Let a(o) = o**2 - o - 1. Let j be a(-1). Let x(q) = -q**3 + q**2 - q - 1. Give j*z(u) + x(u).
3*u**3 - 2
Let i(s) = -s**2 - 11*s - 7. Let o be i(-10). Let v(x) = -x - 2. Let j(b) be the second derivative of -1/3*b**3 + 0 + b - 2*b**2. Give o*j(k) - 7*v(k).
k + 2
Let w(g) = -3*g**2 - 11*g. Let j(d) = 7*d**2 + 22*d. What is -4*j(b) - 9*w(b)?
-b**2 + 11*b
Let p(n) = -1. Let z(u) be the first derivative of -u**2/2 - u + 20. Determine -p(d) - z(d).
d + 2
Let o(q) = 3*q**2 - 378 + 378 + q. Let i(s) = s**2 + 1. Determine i(k) - o(k).
-2*k**2 - k + 1
Let g(y) = -y**3 - 4*y**2 + 4. Let x(w) = w**3 - 1. Give g(p) + 5*x(p).
4*p**3 - 4*p**2 - 1
Let i be 2*1/(6/(-15)). Let j(z) = -6*z. Let o(v) = 2*v - 4*v + 3*v. Calculate i*o(y) - j(y).
y
Suppose 6*i - i - 15 = 0. Let v(k) = -k - i*k + k**2 + 3*k. Let q(r) = 16*r - 18*r + 4*r**2 - 2*r**2. Determine 3*q(y) - 8*v(y).
-2*y**2 + 2*y
Let p(c) = -5*c**3 + 4*c**2 + 4*c + 3. Let i(l) = 11*l**3 - 9*l**2 - 9*l - 6. What is 4*i(u) + 9*p(u)?
-u**3 + 3
Let l(a) be the second derivative of a**3/6 - 3*a**2 - 2*a. Let c(o) = o**3 + 20*o**2 - 4. Let f be c(-20). Let x(b) = 1. Give f*x(v) - l(v).
-v + 2
Suppose -t + 0 - 2 = 0. Let v(c) = 2. Let f = -3 - -4. Let z(q) be the first derivative of -q**2/2 + 3. Give f*v(n) + t*z(n).
2*n + 2
Let x(r) = -7*r - 2. Let t(o) = -4*o - 1. Let a be 2/(20/(-6) - -4). Give a*x(w) - 5*t(w).
-w - 1
Let m(p) = 4*p - 7. Let q(o) = 2*o - 3. Suppose 0 = -j - 2 + 8. Let l be 4/2 - j/3. Suppose 2*x - 2*g = -0*x, 4*x - 5*g - 2 = l. Determine x*m(y) + 5*q(y).
2*y - 1
Suppose -4*u + 22 - 2 = 0. Let x(y) = -6*y - 6. Let r(w) = -6*w + 4. Let v(s) = 5*s - 3. Suppose -3*k = -16 + 4. Let l(b) = k*r(b) + 5*v(b). Give u*l(c) + x(c).
-c - 1
Let v(u) be the first derivative of -u**4/4 + u**3 - 2*u + 1. Let g(p) = 4*p**3 - 10*p**2 + p + 7. Suppose 0*i - 4*i + 28 = 0. Calculate i*v(b) + 2*g(b).
b**3 + b**2 + 2*b
Let h(o) = -o**2 + 6*o - 5. Let f(m) = -m. Let x(w) = 6*f(w) + h(w). Let g be (-3 - -2) + (-15)/3. Let r(c) = -c**2 - 6. Determine g*x(v) + 5*r(v).
v**2
Let v(m) = m**2 + 4*m. Let h(j) = 2*j**2 + 9*j. Suppose -3*n - 5*n = 72. Let k = 1 - -3. Give k*h(f) + n*v(f).
-f**2
Let l(v) = -5*v**2 - 3*v - 5. Let w(m) = 2*m**2 + 2*m + 2. Give 4*l(h) + 9*w(h).
-2*h**2 + 6*h - 2
Let s = 9 - 13. Let v(h) = -h**2 - 4*h + 4. Let d(f) = 2*f**2 + 7*f - 7. Give s*d(u) - 7*v(u).
-u**2
Suppose -2*n + 3*n = 0. Let f(l) = -5 + n*l - l**3 - l + 0. Let m(i) = -2*i**3 - 3*i - 11. Give -7*f(h) + 3*m(h).
h**3 - 2*h + 2
Let n(w) = -2*w - 2. Let d(b) = 3*b + 3. Suppose 14 + 1 = -5*c. Let t(i) = 2*i**2 + i - 3. Let o be t(-3). Suppose 5*u - 2*u + o = 0. Give c*d(m) + u*n(m).
-m - 1
Let m(o) = -6*o + 1. Let a(c) = c. Let r be (-3)/((-3)/2)*-1. Let p be r/5 + (-18)/5. What is p*a(y) - m(y)?
2*y - 1
Let m(a) = -7*a**2 + 6*a. Let c(z) be the third derivative of 2*z**5/15 - 7*z**4/24 + 2*z**2. Suppose 3*u - 4*h + 25 = 0, 2 - 6 = -4*h. What is u*m(j) - 6*c(j)?
j**2
Let p(o) be the first derivative of o**2/2 - o - 8. Let h be 1*2/4*2. Let r(v) = -2 + 1 - 2*v**2 - 9 + 10*v. Calculate h*r(f) - 8*p(f).
-2*f**2 + 2*f - 2
Let x(h) = 27*h**2 - 9. Let b(t) = 13*t**2 - 4. What is 9*b(v) - 4*x(v)?
9*v**2
Suppose 5*s = -4*q, s - 29 = 2*q + 3*q. Let f(g) = 4*g**2 - 9*g + 7. Let i = -5 - -7. Let j(n) = 5*n + 0*n - 12*n + 3 + i*n**2 + 3*n. What is s*f(h) - 9*j(h)?
-2*h**2 + 1
Let y(z) = z**2 - 6*z + 10. Let l = 21 + -23. Let o(w) = w - 2. Determine l*y(b) - 11*o(b).
-2*b**2 + b + 2
Let g(y) = 13*y - 6. Let q(c) = -40*c + 17. What is -17*g(a) - 6*q(a)?
19*a
Let n(f) = -1. Let v(k) be the third derivative of -k**4/24 - k**3/2 + 3*k**2. Give -n(a) + v(a).
-a - 2
Let j(c) = -209*c + 5. Let g(w) = 105*w - 2. What is -5*g(h) - 2*j(h)?
-107*h
Let d(u) = -4*u**2 + 5*u + 5. Suppose -4*g = 5*h - 5, 35 = -5*g - 0*g + 2*h. Let s(r) = 2*r**2 - 2*r - 3. Give g*s(t) - 2*d(t).
-2*t**2 + 5
Let j(o) = 70*o**2 - 12*o. Let g(w) = -28*w**2 + 5*w. Calculate -12*g(u) - 5*j(u).
-14*u**2
Let o(u) = -7*u**2 + 6*u - 6. Let m(w) = -20*w**2 + 17*w - 17. Let b(l) = 6*m(l) - 17*o(l). Let c(y) = 2*y**3 - 4*y**2 + 1. What is 4*b(v) - c(v)?
-2*v**3 - 1
Let r(w) = 11*w + 4. Let a(c) = -21*c - 7. Calculate 3*a(y) + 5*r(y).
-8*y - 1
Let u(t) = -15*t - 22. Let o(p) = 8*p + 11. Give 11*o(q) + 6*u(q).
-2*q - 11
Let d(u) = 4*u**3 + 4*u**2 - 3. Let m(t) = -21*t**3 - 21*t**2 + 16. Give -11*d(g) - 2*m(g).
-2*g**3 - 2*g**2 + 1
Let b(m) = 12*m. Let c(j) = -2*j. Give 6*b(s) + 34*c(s).
4*s
Let s(p) = p**3 + 2*p**2 - 2. Let c(b) = b**3 + 2*b**2 - 3. What is 4*c(j) - 5*s(j)?
-j**3 - 2*j**2 - 2
Let c(b) = b**2 - b. Let y(s) = 4*s**2 - 6*s. Suppose -2*i = 5*w + i - 36, 0 = 3*w + i - 20. Give w*c(q) - y(q).
2*q**2
Let a(w) = -w + 1. Let s(k) = -2*k + 2. Suppose 4*c + 5*l + 13 = -4, -2*c - 2*l - 6 = 0. Give c*s(m) - 3*a(m).
-m + 1
Let r(n) = -10*n**3 - 7*n**2 + 7*n. Let c(w) = -126*w**2 + 68*w**2 + 5*w**3 + 61*w**2 - 3*w. Calculate -7*c(k) - 3*r(k).
-5*k**3
Suppose 8 = 6*b + 32. Let g(u) = 4*u**3 - 5*u**2 + 5*u - 1. Let o(r) = 3*r**3 - 4*r**2 + 4*r - 1. Determine b*g(t) + 5*o(t).
-t**3 - 1
Let d(v) = 2*v**2 + 8*v + 4. Let s(x) = -4*x**2 - 15*x - 7. Suppose -f = -4*u + 24, 4*u - 2*f = 8*u - 24. Give u*s(t) + 11*d(t).
-2*t**2 - 2*t + 2
Let m(a) = a**2 - a - 1. Let h(r) = -r**3 + r**2 - r - 2. Give -3*h(s) + 3*m(s).
3*s**3 + 3
Let l(p) = p**2 - 4*p + 2. Let y(b) = -b**2 + 7*b - 4. Let u(f) = f**2 + f - 2. Let z be u(-3). Let s be ((-2)/z)/(3/18). What is s*y(o) - 5*l(o)?
-2*o**2 - o + 2
Let o(z) = z**2 + 1. Let k(v) = 8*v**2 + 12. Let r(d) = k(d) - 10*o(d). Suppose -13 - 7 = 4*h, 0 = 2*s + h + 7. Let m(y) = 1. Give s*r(x) + 3*m(x).
2*x**2 + 1
Let d(t) = -5*t**2 - 4*t - 1. Let s(z) = -6*z**2 - 4*z - 2. Let w(u) = -5*d(u) + 4*s(u). Let p(c) = 2*c**2 + 5*c - 3. Give -2*p(v) + 3*w(v).
-v**2 + 2*v - 3
Let t(q) = -4*q - 3. Let k(z) = 21*z + 14. Let o(v) = 2*k(v) + 11*t(v). Let h(y) = -35 - 31 - 26 + 91. Determine 5*h(s) - o(s).
2*s
Let r(b) be the first 