s(x)?
x + 18
Let w(t) = -t + 1. Let q(l) be the first derivative of 1/2*l**2 + 1 - l. Suppose 3*y + y = -16. Determine y*w(x) - 5*q(x).
-x + 1
Let n(z) be the first derivative of -4*z**3/3 + z**2 + 2*z - 6. Let a(p) = p**2. What is -6*a(g) - n(g)?
-2*g**2 - 2*g - 2
Let p(j) = -7. Let q(u) = u + 14. Determine 5*p(a) + 2*q(a).
2*a - 7
Let t(h) = -7*h**2 + 4*h + 3. Let u(s) = -8*s**2 + 3*s + 2. Determine 4*t(f) - 5*u(f).
12*f**2 + f + 2
Let g(t) = 2*t**2. Suppose 4*l = k - 3, 2*k + 15 = 3*l + 7*k. Suppose 0 = -11*v + 8*v - 9. Let y = l + v. Let q(a) = -5*a**2. Determine y*q(o) - 7*g(o).
o**2
Suppose -2 = -4*w + 2. Let p(r) = -w + 4 - r + 0*r. Let s(y) = 3*y - 8. Let k(f) = -f**2 + 4*f + 4. Let n be k(6). What is n*p(g) - 3*s(g)?
-g
Let z(s) = -3*s**2 + 9. Let t(r) = -7*r**2 + 19. Calculate -4*t(p) + 9*z(p).
p**2 + 5
Let u(p) = -p. Let h(x) = 0*x + 10*x - 2 - 2*x. What is -h(w) - 6*u(w)?
-2*w + 2
Suppose -4*k + 42 = 10*k. Let c(r) = 4*r**2 - 1. Let s(n) = 12*n**2 - 2. Let u(d) = -13*d**2 + 2. Let y(h) = 6*s(h) + 5*u(h). Give k*y(b) - 5*c(b).
b**2 - 1
Let l(c) be the second derivative of c**3/6 + 7*c**2/2 + 7*c. Let f(m) be the first derivative of m**2/2 + 6*m - 1. Calculate -7*f(z) + 6*l(z).
-z
Let w(g) = -g + 0*g - 2 + 11 + 1. Let p(t) = 2. Let k(j) = -2. Let z(u) = 2*k(u) + 3*p(u). Determine -2*w(y) + 10*z(y).
2*y
Let k(c) = 1. Let m(t) be the second derivative of -7/2*t**2 + 0*t**4 + 0*t**3 - 1/10*t**5 + 4*t + 0. What is 6*k(a) + m(a)?
-2*a**3 - 1
Let w(a) = -11*a - 3. Let x = -1 - 1. Let k(z) = -5*z - 1. Determine x*w(c) + 5*k(c).
-3*c + 1
Suppose -4*u = 5*f + 17, 5*f + 4*u = -u - 15. Let m(n) = n**2 + 5*n. Let r(l) = 2*l**2 + 11*l. What is f*m(a) + 2*r(a)?
-a**2 - 3*a
Suppose 2*w - 26 = -0*w. Let o = 7 - w. Let l(j) = 7*j + 7. Let m(i) = -i - 1. Give o*m(c) - l(c).
-c - 1
Let t(n) = n - 1. Suppose -o + 9 = -5*d, 0*o - 2*d = -5*o - 1. Let j(k) = 2*k**2 + 6*k - 6. Determine o*j(f) + 6*t(f).
-2*f**2
Let w(a) = 6*a - a**2 + 5*a - 7*a - 1. Let x(c) = 2*c**2 - 9*c + 3. Determine 7*w(l) + 3*x(l).
-l**2 + l + 2
Let o(m) = -8*m**2 - 7*m - 3. Let k(u) = -u**2 - u - 1. Let x(a) = 5*k(a) - o(a). Let l(i) = -i**2 - i + 1. Give -2*l(g) - x(g).
-g**2
Let w(b) = 7*b - 7. Let i(a) = 13*a - 15. Let m(v) = 923*v - 1066. Let q(n) = 143*i(n) - 2*m(n). Calculate 6*q(f) - 11*w(f).
f - 1
Let v(g) = 2*g**2 + 5*g + 5. Let j(u) = 3*u**2 + 8*u + 8. Let h(t) = -t**2 + 18*t - 24. Let s be h(16). Calculate s*v(w) - 5*j(w).
w**2
Let v(x) = -5*x**2 + 2. Let f(p) = -6*p**2 + 2. Let t = -79 - -86. Determine t*v(u) - 6*f(u).
u**2 + 2
Let z(o) = -2*o - 2. Suppose -c - 2*c - 12 = 3*a, a + 16 = -5*c. Let u be 4*3 + 3/a. Let y(n) = 8*n + 9. What is u*z(g) + 2*y(g)?
-2*g
Let y(w) = -7*w**2 + 6*w + 2. Let f(b) = 15*b**2 - 13*b - 5. Calculate -4*f(j) - 9*y(j).
3*j**2 - 2*j + 2
Let z(f) = -2*f**3. Let x be z(-1). Let y(k) = -k**x + 6 - 2*k**2 + 4*k**2 - 2. Let q(a) = -a**2 - 4 - 1 + 0. What is 4*q(s) + 5*y(s)?
s**2
Let v(g) = 32*g**2 - 6. Let p(f) = 31*f**2 - 5. Determine 6*p(o) - 5*v(o).
26*o**2
Let b(k) = -3*k**2. Let c(a) = a**3 + 6*a**2. What is 6*b(p) + 3*c(p)?
3*p**3
Let r(w) be the first derivative of -w**2 + 2*w + 7. Let m(s) = -2*s + 2. Calculate 4*m(d) - 3*r(d).
-2*d + 2
Let g = 0 + -1. Let i = 0 - g. Let n(u) = 12*u + 2. Let w(y) = -3*y. Let p(s) = 16*s. Let z(a) = -2*p(a) - 11*w(a). Calculate i*n(t) - 10*z(t).
2*t + 2
Let g(n) = n. Let q(m) be the first derivative of 2*m**3/3 - 2*m**2 + m - 12. Suppose 0 = 4*c + 1 + 19. Calculate c*g(j) - q(j).
-2*j**2 - j - 1
Let p(g) = -2*g. Let h(n) = -16*n. Determine -4*h(i) - 20*p(i).
104*i
Let y(g) = 195*g**2 - 97*g**2 - 3*g - 97*g**2. Let t = -5 - -7. Let p(b) = -2*b + 0*b**2 + 2*b**t - 3*b. Calculate 3*p(m) - 5*y(m).
m**2
Let s(o) be the first derivative of -2*o**3/3 + 2*o + 2. Let b(v) = -7*v**2 + 9 + 0*v**2 - 3*v**2 + 2*v**2. Determine -2*b(p) + 9*s(p).
-2*p**2
Let c(a) = -7*a**2 + 7*a + 9. Let z(m) = -8*m**2 + 8*m + 10. Calculate 6*c(q) - 5*z(q).
-2*q**2 + 2*q + 4
Let o(y) = -3*y + 12. Let a(w) = w - 1. Calculate -36*a(s) - 3*o(s).
-27*s
Let s(r) = -3*r + 7. Let b(z) = -z + 2. Let n(p) = -7*b(p) + 2*s(p). Let w(l) = 3*l - 2. Calculate 5*n(h) - w(h).
2*h + 2
Let z(p) = 5*p - 6. Let o(m) = m - 1. Let i(l) = 11*o(l) - 2*z(l). Suppose g - 3*v + 20 = 0, -3*v + 1 = -3*g - 29. Let t(b) = -4*b - 3. Give g*i(u) - t(u).
-u - 2
Let j(m) = 23*m**2 + 8*m + 7. Let c(l) = l**2 + l + 1. Give 14*c(q) - 2*j(q).
-32*q**2 - 2*q
Let l(q) = q + 1. Let u(d) = 2 + 4*d - 3*d - 2*d. Let k be u(0). Suppose -20 = -9*v + 4*v, -4*m + k*v - 12 = 0. Let h(f) = -3*f - 4. What is m*h(b) - 5*l(b)?
-2*b - 1
Let q(p) = p. Let g(d) = 9*d. Let n be (-14)/(-63) - 11/9. What is n*g(s) + 12*q(s)?
3*s
Let i(n) be the second derivative of -n**4/3 - n**3/3 - n**2 - 6*n. Let p(z) = -9*z**2 - 5*z - 9 - 8*z**2 - 4*z. Determine 9*i(u) - 2*p(u).
-2*u**2
Let h(d) = -5*d**3 + 4*d**2 - 4*d + 4. Let b(l) = -4*l**3 + 3*l**2 - 3*l + 3. Let g = -18 - -21. Give g*h(z) - 4*b(z).
z**3
Let r(z) = -9*z**3 - 27*z**2 + 13*z - 13. Let y(f) = -4*f**3 - 13*f**2 + 6*f - 6. Calculate 6*r(x) - 13*y(x).
-2*x**3 + 7*x**2
Let b be 12/15*(-6 - (-3 - -2)). Let k(h) = h**3 + 5*h**2 + 2*h. Let f(u) = -2*u**3 - 9*u**2 - 3*u. Calculate b*f(g) - 7*k(g).
g**3 + g**2 - 2*g
Let b = -38 + 54. Let z(k) = 4*k**3 + 3*k**2 - 3*k - 3. Let j(u) = 20*u**3 + 16*u**2 - 16*u - 16. Calculate b*z(i) - 3*j(i).
4*i**3
Let d(b) = -2*b + 4*b + 3 + 3. Let r(w) = w + 5. Let t be (-3 - -2) + 3 - 6. What is t*r(p) + 3*d(p)?
2*p - 2
Let j(q) = -5*q**3 - 24*q + 7. Let d(a) = -2*a**3 - 12*a + 3. Calculate -7*d(w) + 3*j(w).
-w**3 + 12*w
Let l(t) = 2*t**3 + 6*t. Let f(a) = 2*a**3 + 7*a. Suppose 0 = -5*q + 3*s - 15, -q + 5 = -6*q + s. Let d = q + 7. Determine d*l(g) - 6*f(g).
2*g**3
Let z(l) = 18*l + 3. Let p(c) = -17*c - 2. What is -4*p(y) - 3*z(y)?
14*y - 1
Let a(l) = l**3 - l**2 + l + 1. Let z(g) = 7*g**3 - 5*g**2 + 4*g + 5. Suppose j - 29 = -4*j - h, 16 = 4*j - h. What is j*a(o) - z(o)?
-2*o**3 + o
Let x(m) = m**3 - 8*m**2 - 9*m. Let t be x(9). Let b(u) = 1 + 2*u + t*u - u. Suppose 0 = z - 5 - 1. Let o(g) = g + 1. Calculate z*o(p) - 5*b(p).
p + 1
Let g(q) = 2*q**3 + 2*q - 1. Let y(f) be the third derivative of 0*f + 0 + 1/6*f**3 - f**2 - 1/24*f**4. Determine -g(s) - 2*y(s).
-2*s**3 - 1
Let l be (51/6)/((-2)/(-4)). Let v = -11 + l. Let w(c) = -c**3 - c**2. Let a(h) = 8*h**3 + 5*h**2 + 2*h. Give v*w(t) + a(t).
2*t**3 - t**2 + 2*t
Let r(i) = -6*i + 23*i**2 - 42*i**2 + 15*i**2 + 1. Let n(k) = k**2 + k. Give 6*n(p) + r(p).
2*p**2 + 1
Let z(u) = -9*u**3 - u - 1. Let p(k) = -19*k**3 - 2*k - 2. Give 6*p(g) - 13*z(g).
3*g**3 + g + 1
Let p(k) = k. Let t = -21 + 27. Let a(c) be the second derivative of -c**3/3 + c. What is t*a(h) + 11*p(h)?
-h
Let c(v) = -8*v - 4. Let j(k) be the first derivative of k**2/2 + k + 21. What is c(t) + 5*j(t)?
-3*t + 1
Let c(w) = -11*w**3 - 17*w + 4. Let g(k) = 5*k**3 + 8*k - 2. What is 6*c(s) + 13*g(s)?
-s**3 + 2*s - 2
Let d(k) = 6*k + 6. Let j(x) = 1. Give d(r) - 9*j(r).
6*r - 3
Let z(t) = 76*t + 28. Let d(m) = 11*m + 4. Let o(k) = -20*d(k) + 3*z(k). Let v(p) = -7*p - 3. What is -3*o(h) - 4*v(h)?
4*h
Let h(v) = 39*v**2 - 8. Let c(a) = 13*a**2 - 3. Give -8*c(z) + 3*h(z).
13*z**2
Let w(m) be the third derivative of m**5/40 + m**4/6 + m**3 - m**2. Let v(d) be the first derivative of w(d). Let c(f) = 4*f + 5. What is 2*c(t) - 3*v(t)?
-t - 2
Let m = -11 + 17. Let i(h) = 9*h**2 - 6*h + 4. Let q(z) = -26*z**2 + 17*z - 11. Let c(n) = m*q(n) + 17*i(n). Let s(y) = 10*y**2 - 7. What is -14*c(o) - 4*s(o)?
2*o**2
Let f(d) = -7*d**3 + 7*d**2 - 2. Let t(n) = 13*n**3 - 13*n**2 + 3. Give -5*f(c) - 3*t(c).
-4*c**3 + 4*c**2 + 1
Let x = 12 - 7. Let r(v) = -3*v**3 + 4*v**2 - 2*v. Let a(c) be the first derivative of -c**4 + 5*c**3/3 - c**2 - 2. Give x*r(j) - 4*a(j).
j**3 - 2*j
Suppose -2*w + 2*u + 8 = 0, 0*w - w = -3*u - 6. Let n be (-2 + 3)/(w/(-15)). Let o(t) = -2*t - 4. Let f(l) = -3*l - 5. Give n*o(q) + 4*f(q).
-2*q
Let i(r) = -r**3 + r**2 + 4*r + 2. Let p(h) = -h**3 + h**2 + 5*h + 3. Let n(x) = -4*i(x) + 3*p(x). Let y(b) = -3*b**3 + 2*b**2 + b - 2. What is 2*n(l) + y(l)?
-l**3 - l
Let l(z) = -z - 4. Let s be l(0). Let c be (32/10)/(s/(-10)). Let f(i) = -2*i + 8. Let h(g) = -1. Give c*h(w) + f(w).
-2*w
Let n(a) = -20*a**3 - 10