 2
Let t(w) = -w**2 + w + 1. Let f(x) = -x. Let r(m) = -5. Let h(j) = 4*f(j) + r(j). Let l(d) = -h(d) - 2*t(d). Let p(n) = -1. Determine -l(y) - 4*p(y).
-2*y**2 - 2*y + 1
Let w(j) = -12*j**2. Let r(b) = -3*b**2. Let a be -2 - (-1 + -3) - (0 + 4). What is a*w(q) + 9*r(q)?
-3*q**2
Let d(x) = -x - 6. Let v = -34 - -23. Let o(a) = -2 + 4 - 3. Determine v*o(r) + 2*d(r).
-2*r - 1
Let g be -6 + 5/15*9. Let w(c) = -2*c**3 - 3*c**2 + 5*c. Let b(z) = -5*z**3 - 8*z**2 + 14*z. Calculate g*b(r) + 8*w(r).
-r**3 - 2*r
Let v(i) = 3*i**3 - 2*i. Let z(n) = 2*n**3 - n. What is 3*v(l) - 5*z(l)?
-l**3 - l
Let u(f) = -f**3 + 5*f**2 - 7*f + 5. Let n be u(2). Let d(i) = -1. Let m(g) = -g**2. Determine n*d(y) - 2*m(y).
2*y**2 - 3
Let c(s) = -3*s**3 - 2*s**2 + 2*s. Suppose -5*r + 10 = 4*f + 49, -4*r - 40 = f. Let i(w) = 8*w**3 + 6*w**2 - 5*w. What is r*c(q) - 4*i(q)?
q**3 - 2*q**2 - 2*q
Let z be 12*(6/(-2))/(-6). Suppose 0 = x + x - z. Let q(a) = 2 + a - x + 2. Let v(s) = 8*s + 7. Determine 6*q(n) - v(n).
-2*n - 1
Let u(n) = -3*n - 6. Let k(s) = s**2 - 11*s + 4. Let f be k(11). Let l(r) = -2*r + 1. Let c(i) = 3*i - 1. Let t(m) = f*l(m) + 3*c(m). Determine -6*t(p) - u(p).
-3*p
Let c(m) = m**3 + 3. Let p(n) = n - 1. Determine -c(x) - 3*p(x).
-x**3 - 3*x
Let q(m) = m**2. Let b(f) = 13*f**2. Determine b(r) - 5*q(r).
8*r**2
Suppose -4*d - 7 = -3*u, d + u = -0*d. Let l(i) = -6*i**2 + 4. Let k(x) = -x**2 + 1. Let r(h) = -5*k(h) + l(h). Let o(m) = -2*m**2. Give d*o(a) + r(a).
a**2 - 1
Let b(t) = 4*t**3 + 6*t - 5. Let i(o) = o - 1. What is b(r) - 6*i(r)?
4*r**3 + 1
Let o(a) = -a**2 + a + 2. Let p(s) be the second derivative of -s**4/4 + 5*s**3/6 + 9*s**2/2 - 6*s. What is 9*o(q) - 2*p(q)?
-3*q**2 - q
Let u(q) = 6*q. Let p(z) = -5*z. Calculate 6*p(f) + 4*u(f).
-6*f
Let m(h) = 2*h + 2. Let q(p) = 1. What is m(z) - 4*q(z)?
2*z - 2
Let a(z) = -6*z**3 - 5*z**2 - 2*z. Let k(q) = 6*q**3 + 7*q**3 + 6*q**2 + 9*q - 7*q - 6*q**3. Give 4*a(p) + 3*k(p).
-3*p**3 - 2*p**2 - 2*p
Let a(h) = h**3 + 4*h**2 + 3*h + 3. Let s be a(-2). Let i(q) = 7*q**2. Let v(z) be the third derivative of z**5/15 - z**2. Give s*v(t) - 3*i(t).
-t**2
Let g(d) = 5*d**2 - d. Let k be g(1). Let j(a) = 5*a - 1. Let m be (8/(-6))/((-2)/3). Let v(o) = m + o - 11 + 9. Give k*v(x) - j(x).
-x + 1
Let c(u) = -u - 5. Let h = 5 + -17. Let q(b) = 2*b + 12. Determine h*c(s) - 5*q(s).
2*s
Suppose -5*d + 19 = 4. Let m(z) = -7*z. Let a(n) = -3*n. What is d*m(r) - 8*a(r)?
3*r
Let d(p) = 7*p**3 + 6*p**2 + 6*p + 4. Suppose 7*k = -39 - 52. Let l(s) = 15*s**3 + 13*s**2 + 13*s + 9. Determine k*d(n) + 6*l(n).
-n**3 + 2
Let d(f) be the third derivative of -f**5/12 + f**4/12 - 2*f**3/3 - 245*f**2. Suppose 0 = x - 4. Let p(z) = z**2 + 1. Determine x*p(h) + d(h).
-h**2 + 2*h
Suppose 4*v - 5*v + b = 10, v - 10 = -3*b. Let w(g) = 6*g**3 + 4*g**2 - 2*g - 4. Let o(u) = -6*u + 7*u**3 + 2 - 4 - 3 + 4*u + 5*u**2. Give v*w(s) + 4*o(s).
-2*s**3 + 2*s
Let i be (-18 - -32)/(-2*1). Let k(q) = -2 + 2*q - 1 - 1 + q. Let d(z) = 4*z - 6. What is i*k(b) + 5*d(b)?
-b - 2
Let j = -14 - -20. Let f = -1 + j. Let u(c) be the second derivative of c**4/12 - 5*c**2/2 - 4*c. Let v(x) = -x**2 + 4. Determine f*v(g) + 4*u(g).
-g**2
Let b(v) = v + 11. Let q(r) = -5*r - 34. Let h(t) = -11*t - 69. Let f(g) = -2*h(g) + 5*q(g). Calculate 17*b(m) + 6*f(m).
-m - 5
Let u(t) = -3. Suppose 4 = 2*x - 4. Suppose -5*j + 1 = -4*j. Let n(a) = -a + j + 0*a - 4 + x. Give 2*n(g) + u(g).
-2*g - 1
Let i(g) = -6*g + 6. Let r(o) = -6*o + 5. Let x(p) = 5*i(p) - 6*r(p). Let q(j) = -9*j. What is 5*q(m) + 8*x(m)?
3*m
Let z(i) = 5*i**3 - 11*i**2 + 11*i. Let k(n) = -n**3 + 2*n**2 - 2*n. Let q(y) = -y**3 + 2*y**2 - 2*y. Let a(t) = 3*k(t) - 4*q(t). Determine 11*a(p) - 2*z(p).
p**3
Suppose -40 = 5*q - 10*q. Let c(t) = -9 + 5*t**2 + 1 + 2 + 0*t - 5*t. Let l(s) = -3*s**2 + 3*s + 4. Determine q*l(j) + 5*c(j).
j**2 - j + 2
Let t(k) = k**3 - k**2 - k. Let c(p) = 9*p**3 - 6*p**2 - 6*p. Calculate -c(y) + 6*t(y).
-3*y**3
Let g(q) = -1445*q**3 - 153*q**2 - 153*q + 153. Let d(l) = 19*l**3 + 2*l**2 + 2*l - 2. Give 153*d(n) + 2*g(n).
17*n**3
Let u(h) = -21*h**3 + 11*h**2 - 16*h + 1. Let l(b) = 4*b**3 - 2*b**2 + 3*b. Give -11*l(r) - 2*u(r).
-2*r**3 - r - 2
Let q(o) = 3*o**2 + 11*o + 3. Let s(y) = -2*y**2 - 5*y - 2. Calculate -4*q(l) - 7*s(l).
2*l**2 - 9*l + 2
Let u(m) = m**2 + 1. Let k(a) = 9*a**2 - 28*a**2 + 15*a**2 - 3. Determine -2*k(q) - 6*u(q).
2*q**2
Let r(f) = -4*f**2 - 7*f**2 + 12*f**2 + f. Let i(k) = -5*k**2 - 6*k. What is i(z) + 4*r(z)?
-z**2 - 2*z
Let v(w) = 1. Let c(a) = 26*a - 3. Calculate -c(p) - 3*v(p).
-26*p
Let g(l) = -l**2 - l - 1. Let r(b) = -4*b**2 - 3*b - 17. What is -6*g(u) + 2*r(u)?
-2*u**2 - 28
Let n(s) = -s. Let c(u) = 5*u + 5. Calculate -c(y) - 6*n(y).
y - 5
Let w(n) = 2*n**3 + 4*n**2 + 4*n - 4. Suppose -3*f = -3*p - 0*p, p = -4. Let o(h) = h**3 + h**2 + h - 1. Calculate f*o(t) + w(t).
-2*t**3
Let g(c) = -c**3 - 3*c**2 + 4*c + 3. Let d(a) = 2*a**3 + 5*a**2 - 9*a - 5. Determine -6*d(i) - 10*g(i).
-2*i**3 + 14*i
Let c be 1 + 1/((-2)/(-8)). Let j(w) = -2*w**3 - w**2 - 4*w - 2. Let s = -98 - -96. Let t(d) = -4*d**3 - 3*d**2 - 9*d - 5. Give c*j(y) + s*t(y).
-2*y**3 + y**2 - 2*y
Let j(x) = 4*x**2 + 3*x - 5. Suppose 8*z = 14*z + 18. Let t(i) = -2*i**2 - 2*i + 3. Determine z*j(l) - 5*t(l).
-2*l**2 + l
Let o(x) = -1. Suppose 0 = 5*b + 5*v - 3*v - 18, -6 = -b + 2*v. Let d(p) = 2*p - p + 0*p**2 - 4 + p**2. Suppose -5 = 5*a - 0. Calculate a*d(m) + b*o(m).
-m**2 - m
Let r(s) = 1. Let u(t) = 14*t - 6. What is -5*r(p) - u(p)?
-14*p + 1
Let p(w) = 5*w**2 + 4. Let m = 61 + -57. Let v(n) = -n**2 - 1. Suppose -2*g = -3*g - 9. Let i be g/(-7) + (-2)/7. What is i*p(z) + m*v(z)?
z**2
Let w(a) = -22*a. Let y(t) = 11*t. What is -4*w(d) - 9*y(d)?
-11*d
Let h(a) = a**2 + a + 1. Let r(t) = -4*t**2 - 6*t - 6. Calculate -6*h(n) - r(n).
-2*n**2
Let r(n) = -21*n**3 - 6*n**2 - 16*n + 11. Let l(m) = -4*m**3 - m**2 - 3*m + 2. Let u(f) = f + 10. Let c be u(-12). What is c*r(o) + 11*l(o)?
-2*o**3 + o**2 - o
Let r(f) = f**3 - 3*f**2 - 7*f + 9. Let j be r(4). Let v(k) = -4*k - 5. Let h(l) = 7*l + 9. Determine j*h(s) - 5*v(s).
-s - 2
Let d(s) = 4*s**2 - 1 - s - 4*s**2 - s**2. Let n(r) = 5*r**2 + 6*r + 4. What is 4*d(v) + n(v)?
v**2 + 2*v
Let p(k) = 3 - 11*k**2 + 24*k**2 - 14*k**2 + k + 5*k**3. Let n(h) = 11*h**3 - 2*h**2 + 3*h + 7. Determine -3*n(s) + 7*p(s).
2*s**3 - s**2 - 2*s
Let p(i) = -36*i - 16. Suppose -2*t + 36 = -3*k - k, 2*t - 5*k = 37. Let w(r) = 7*r + 3. Determine t*w(v) + 3*p(v).
4*v
Let g(h) = 2 + 0*h**3 - 8 + h**3. Let b(s) = 9 + 2 - 31*s**3 + 29*s**3. What is 4*b(y) + 7*g(y)?
-y**3 + 2
Let r(n) = 3*n**3 + 4*n**2 + 2*n - 2. Let d(k) = -12*k**3 - 9*k - k**3 - 17*k**2 + 7 + 2. Let p(t) = -t**2 - 2*t + 1. Let u be p(1). Calculate u*d(w) - 9*r(w).
-w**3 - 2*w**2
Let n(q) = -60*q - 5. Let l(t) = t + 1. What is -5*l(d) - n(d)?
55*d
Let r(c) be the second derivative of c**4/6 + c**3/2 - 3*c**2/2 + 2*c. Let x(y) = 8 - 6*y**2 - 7*y - y + y**2. Suppose 0 - 12 = 4*f. Calculate f*x(a) - 8*r(a).
-a**2
Let i(g) = 6 + 4*g**3 + 3*g**2 + 6*g - 3*g**3 + 6*g**3 + 5*g**2. Let a(q) = 6*q**3 + 7*q**2 + 5*q + 5. Give 6*a(c) - 5*i(c).
c**3 + 2*c**2
Let o(t) = 3*t**2 - 6*t - 3. Suppose z - 3*k + 21 = k, -3*z - 30 = -k. Let s = z - -16. Let f = s - 4. Let q(b) = -2*b**2 + 5*b + 2. Calculate f*o(a) + 4*q(a).
a**2 + 2*a - 1
Let k(z) = -20*z**2 + 3. Let q(m) = -39*m**2 + 5. What is -5*k(v) + 3*q(v)?
-17*v**2
Let j(p) = -5*p**3 - 4*p**2. Let i(u) = 6*u**3 + 5*u**2. Give -4*i(c) - 5*j(c).
c**3
Let c(u) = -u. Suppose 5*d = -2*i - 7 - 5, 4*i = -4*d - 12. Let y(a) = -a - 1. Give i*y(v) + 2*c(v).
-v + 1
Let f(c) = -24*c + 32. Let q(i) = -1. Calculate -f(n) - 32*q(n).
24*n
Let k(c) = c**3 + c**2 - 2*c - 6. Let j(x) = 2*x**3 + 2*x**2 - 5*x - 11. Determine 6*j(d) - 11*k(d).
d**3 + d**2 - 8*d
Let w(v) = -15*v**3 + 21*v**2 + 21*v - 21. Let m(r) = 3*r**3 - 4*r**2 - 4*r + 4. Let p = -74 - -78. Give p*w(n) + 21*m(n).
3*n**3
Let s(a) be the first derivative of -a**4/4 + a**2/2 + 5. Let v(b) = 4*b**3 - b**2 - 5*b. What is -5*s(u) - v(u)?
u**3 + u**2
Let w = 138 - 143. Let k(g) = -g**3 + 3*g**2 + 4*g + 4. Let z(j) = j**3 - 3*j**2 - 5*j - 5. Determine w*k(v) - 4*z(v).
v**3 - 3*v**2
Let o(p) = 14*p**3 + 8*p + 14. Let c(v) = 5*v**3 + 3*v + 5. Let q(t) = -8*t