2*t
Let u(s) = 3*s**3 - 4. Let h(p) be the first derivative of 7*p**4/4 - 9*p + 26. Calculate -4*h(l) + 9*u(l).
-l**3
Let c(h) = 3*h - 2. Let n(k) = 5*k - 5. Determine -5*c(w) + 2*n(w).
-5*w
Suppose -14 = -m - 13. Let t(y) = -y**2 - 5. Let c(s) = -s**2 - 1. Determine m*t(z) - 3*c(z).
2*z**2 - 2
Let a(b) = -5*b**2 - 8. Suppose 0*f - 4*f - 20 = 0. Let p = f + 0. Let c = p + 2. Let s(v) = 2*v**2 + 3. Determine c*a(h) - 8*s(h).
-h**2
Let m(a) = 6*a**2 + a + 1. Let i(l) = 11*l**2 + l + 3. Give 3*i(h) - 5*m(h).
3*h**2 - 2*h + 4
Let n(j) = j**2 + 1. Let l(s) = -3*s**2 - 7. What is l(f) + 6*n(f)?
3*f**2 - 1
Suppose 44 = -5*g - p, 5*p - 29 = 4*g + 12. Let q(x) = -7*x**2 + 7*x. Suppose 0 = -0*b - 3*b + 6. Let f(i) = 0*i - 2*i**2 - i**b + 3*i. Give g*f(c) + 4*q(c).
-c**2 + c
Let s be (0 + 5 + -4)*(2 - -1). Let o(l) = l**2 - l + 1. Let y(n) = n**2 - 5*n + 5. Give s*o(m) - y(m).
2*m**2 + 2*m - 2
Let p(d) = -2*d**3 + 3*d - 3. Let i(n) = -n**3 + n - 1. Suppose -2*g + g = -3. What is g*i(s) - p(s)?
-s**3
Let w(v) = v**3 - v**2 - v. Let y(a) = 168*a**3 - 252*a**2 - 252*a. Determine -252*w(g) + y(g).
-84*g**3
Let m(o) = -4 - 5*o**2 + 2 + 6*o**2 - 2*o + 2*o**3. Let z(y) = -8*y**3 - 4*y**2 + 9*y + 9. Calculate 9*m(s) + 2*z(s).
2*s**3 + s**2
Let j(n) = -5*n**3 - 3*n**2 + 5*n - 3. Let q(l) = -4*l**3 - 2*l**2 + 4*l - 2. What is -2*j(u) + 3*q(u)?
-2*u**3 + 2*u
Let y(r) be the second derivative of r**4/2 + r**3/6 + r**2/2 - r. Let t(g) be the second derivative of -g**4/12 - 6*g. Give 5*t(o) + y(o).
o**2 + o + 1
Let x(t) = 190*t**3 - 55*t**2 - 55*t + 55. Let q(s) = -21*s**3 + 6*s**2 + 6*s - 6. Calculate -55*q(h) - 6*x(h).
15*h**3
Let f(u) = -3*u**2 + 3*u + 5. Let s(c) = 6*c**2 - 5*c - 9. Determine 5*f(w) + 3*s(w).
3*w**2 - 2
Let l(q) = -q**2 - q - 1. Let h(p) be the second derivative of p**4/2 + 5*p**3/6 + p**2 - p. Suppose u - 5*u - 16 = 0. Let d = u + 3. Determine d*h(i) - 4*l(i).
-2*i**2 - i + 2
Let g(f) = 4*f**2 - 3*f + 4. Let c(r) = -21*r**2 + 15*r - 21. Calculate -2*c(k) - 11*g(k).
-2*k**2 + 3*k - 2
Let a(z) = 5*z. Let u(d) = d - 3 - 3*d + 9. Let f(r) = r - 5. Let g(l) = -6*f(l) - 5*u(l). What is 3*a(x) - 4*g(x)?
-x
Suppose 26*u - 4 = 28*u. Let a(f) = 2*f. Let v(h) = h - 1. Let s(j) = -a(j) + v(j). Let o(l) be the second derivative of -l**3/2 + l. Determine u*s(i) + o(i).
-i + 2
Let c(y) = 28 - 2*y + 36 - 68. Let t(g) = -3*g - 3. Determine 3*c(z) - 4*t(z).
6*z
Let r(l) = -5*l**2 - 4. Let p(i) = 9 + 2 + 24*i**2 - 43*i**2 + 33*i**2. Suppose 4*u + 31 = 2*u + 3*o, 0 = 2*u + 3*o + 13. What is u*r(q) - 4*p(q)?
-q**2
Let n(s) = -15*s + 2. Let b = 2 + -13. Let p(g) = 8*g - 1. Determine b*p(u) - 6*n(u).
2*u - 1
Let w be 3 + 2 + 0 + -4. Let z(t) = t + 3. Let v(a) = a + 1. Let p = 3 - 6. Let r be (-2 + (-4)/p)*3. What is r*v(n) + w*z(n)?
-n + 1
Let l(k) = -k**2 - 6*k. Let g(j) = 2*j**3 - 3*j**2 + 4*j - 2. Let s be g(2). Suppose -10 = -4*r + s. Let f(u) = u**2 + 5*u. Give r*l(q) + 6*f(q).
q**2
Let z(y) = 13*y + 4. Suppose -5 = 5*g + 15. Let j(u) = 6*u + 2. Give g*z(c) + 9*j(c).
2*c + 2
Let w(m) be the second derivative of m**3/6 + m**2 + 5*m. Let t(g) = 1 - 6*g + g - 11. Determine -2*t(d) - 11*w(d).
-d - 2
Let x(l) = 6*l + 4. Let u(n) = 4*n + 3. Determine -7*u(r) + 5*x(r).
2*r - 1
Let j(y) = 15*y - 5. Let u(n) = -29*n + 9. Determine -7*j(k) - 4*u(k).
11*k - 1
Suppose -2*j + 38 = 4. Let x(u) = 0*u**2 - 3*u**2 - 3*u**2 + 7*u + 7*u**3. Let p(o) = 20*o**3 - 17*o**2 + 20*o. Give j*x(i) - 6*p(i).
-i**3 - i
Let y(g) = 2*g + 12. Let n be y(-6). Let z(o) = n*o + o**2 - 5*o**2 - 3*o**2 - o - 4. Let i(b) = b**2 + 1. Calculate -4*i(k) - z(k).
3*k**2 + k
Let u(q) be the first derivative of -3*q**2/2 - 6*q + 19. Let w(i) = 3*i + 5. Give -3*u(c) - 4*w(c).
-3*c - 2
Let p(l) = 2*l - 3. Let b(y) = -4*y + 5. Suppose -4*w + 9*w + 2*x = -22, 15 = -4*w + x. Give w*b(m) - 7*p(m).
2*m + 1
Let b(v) be the first derivative of 2*v**2 + 2*v - 6. Let w be b(-1). Let h(y) = -4*y. Let r(u) = u + 3*u - 3*u. Calculate w*r(n) - h(n).
2*n
Let d(u) = -8*u - 4. Let f(p) be the second derivative of 7*p**3/6 + 3*p**2/2 - p - 16. Calculate -4*d(q) - 5*f(q).
-3*q + 1
Suppose -2*i - 4*s + 18 + 0 = 0, 3*i - 2*s - 43 = 0. Let a = -14 + i. Let h(d) = d**3 + d - 1. Let r(t) = 5*t**3 + 5*t - 4. Give a*r(b) + 4*h(b).
-b**3 - b
Let n(p) = -8*p - 8. Let h(a) be the second derivative of 0 + 2*a - 1/6*a**3 - 1/2*a**2. What is 14*h(l) - 2*n(l)?
2*l + 2
Let h(o) = -4*o - 3*o + 0*o**2 + 7 - 11*o**2. Let m(d) = 4*d + 2*d - 3 - 6*d + 3*d + 5*d**2. Give 3*h(y) + 7*m(y).
2*y**2
Let t(j) = -j**2 - 5*j - 6. Let r(a) = -4*a**2 - 14*a - 18. Determine -4*r(p) + 11*t(p).
5*p**2 + p + 6
Let j(n) = -21*n**3. Let g(o) = -o**3 + 28*o**2 + 29*o - 2. Let t be g(29). Let k(l) = 7*l**3. Determine t*j(w) - 7*k(w).
-7*w**3
Let p(x) = 7*x. Let n(s) = 8*s. Calculate 5*n(m) - 6*p(m).
-2*m
Let i be (3 - 0) + -22 + 20. Let y(t) = -t**2 + t - 1. Let u(g) = -4*g + 1. What is i*u(c) + 2*y(c)?
-2*c**2 - 2*c - 1
Let b(a) = -2*a - 3. Suppose 1 + 6 = -3*q + 4*l, 0 = -3*q - 5*l + 2. Let j(c) = -1. Determine q*b(t) + 4*j(t).
2*t - 1
Let k be ((-48)/(-20))/((-6)/(-20)). Let b(r) = r**3 + 3*r - 3. Let h(o) = -3*o**3 - 8*o + 8. What is k*b(z) + 3*h(z)?
-z**3
Let b(n) = 13*n - 9. Let w(x) = 19*x - 13. What is -7*b(u) + 5*w(u)?
4*u - 2
Let h(y) = -y**2 - y. Suppose 8*i = -11*i + 19. Let b(t) be the second derivative of -2*t**4/3 - 5*t**3/6 - t. What is i*b(z) - 5*h(z)?
-3*z**2
Let p(z) = z**2. Let y(j) = -4*j**2 + 3*j + 2. What is -2*p(s) - y(s)?
2*s**2 - 3*s - 2
Let y(w) = 2*w**2 + 3*w + 8. Let m(d) = -6*d**2 - 9*d - 23. Determine -6*m(i) - 17*y(i).
2*i**2 + 3*i + 2
Suppose -4*h - 3 = 5*a, 0*h + 5*h + 5*a + 5 = 0. Let l(f) = -f - 1. Let r(o) = -8*o - 10. Give h*r(v) + 20*l(v).
-4*v
Let x(n) = -10*n + 3. Let q(k) = 120*k - 35. Calculate 3*q(c) + 35*x(c).
10*c
Let h(d) = -d**2 + d. Let b(s) = -20*s**2 + 5*s - 1. Calculate -b(x) + 6*h(x).
14*x**2 + x + 1
Let r(m) = -5*m**2 + 13*m + 13. Suppose 5*j + 105 = 5*o, 0 = -4*o + 2*o - 4*j + 72. Let u(i) = i**2 - 3*i - 3. What is o*u(x) + 6*r(x)?
-4*x**2
Let r(h) = -2*h - 8. Let c(g) = 3*g + 10. Determine 5*c(x) + 6*r(x).
3*x + 2
Let j(g) = -27*g**3 + 4. Let b(a) = 40*a**3 - 6. Give 5*b(p) + 8*j(p).
-16*p**3 + 2
Let d(n) = n. Let r(q) = q. Calculate -2*d(z) + r(z).
-z
Let y(i) = 3*i**3 - 5*i**2 + 5*i - 13. Let m(d) = -4*d**3 + 7*d**2 - 7*d + 19. Give 5*m(h) + 7*y(h).
h**3 + 4
Let t(u) = -u**3 - u**2 - u + 1. Let p(c) = 4*c**3 + 5*c - 5. Determine -p(j) - 5*t(j).
j**3 + 5*j**2
Let g(n) = -7*n - 8*n**2 + 15*n**2 + 3*n - 7 + 1. Let t = -17 + 28. Let y(j) = 11*j + 4 + 4*j**2 - 4*j - 17*j**2 + 7. Calculate t*g(w) + 6*y(w).
-w**2 - 2*w
Let g(v) = -v + 3. Let j(a) = -a + 2. Let d(z) = z**3 - 9*z**2 - 11*z + 7. Let h be d(10). What is h*g(y) + 5*j(y)?
-2*y + 1
Let f(r) = 66*r + 39. Let s(w) = -5*w - 3. Determine 2*f(g) + 27*s(g).
-3*g - 3
Let b(m) = 11*m**2 + 15*m - 3. Let f(k) = -4*k**2 - 5*k + 1. What is 6*b(p) + 17*f(p)?
-2*p**2 + 5*p - 1
Let r(t) = -4*t**3 - t**2 - 2*t. Let k be (12/10)/((-2)/(-5)). Suppose -k = -h - 0*h. Let q(w) = -2*w**2 + 3*w - 2*w**3 - h*w**3 - 6*w. Give 3*q(n) - 4*r(n).
n**3 - 2*n**2 - n
Let d(b) be the second derivative of -7*b**3/6 + 3*b**2/2 + 2*b. Let a(r) = -36*r + 16. What is -3*a(m) + 16*d(m)?
-4*m
Let p(h) = 12*h**3 - 7*h - 3 - 32*h**3 - 4*h. Let q(l) = 7*l**3 + 4*l + 1. Determine -6*p(z) - 17*q(z).
z**3 - 2*z + 1
Let l(x) = x + 14. Let o be l(-16). Let v(z) = -z**3 + 2*z**2 - 2*z. Let a(n) = -3*n**3 + 9*n**2 - 9*n. What is o*a(t) + 9*v(t)?
-3*t**3
Suppose -x = 4*a - 5*a + 7, 4*x = 5*a - 31. Let g(f) = 3*f + 5. Let l(d) = 7*d + 11. What is x*l(o) + 9*g(o)?
-o + 1
Let k(w) = -6*w**2 - 8*w. Let g(c) = -c**2 - 4*c + c - c**2. What is 8*g(v) - 3*k(v)?
2*v**2
Let h(c) = 4*c**2 + 4. Let y(m) = -m**2 - 5*m - 6. Let g be y(-5). Let x(s) = -23*s**2 - 23. Suppose 3*i + 2*i + 170 = 0. Give g*x(f) + i*h(f).
2*f**2 + 2
Let n(g) = -g - 4. Let t be n(-7). Let u(w) = -2*w + 3. Let c(x) = -2*x + 2. What is t*c(y) - 2*u(y)?
-2*y
Let d(g) = -19*g + 4. Let j(x) = 19*x - 3. Determine 3*d(z) + 4*j(z).
19*z
Let w(l) = 8*l**3 - 12*l**2 + 6. Let v(k) = -3*k**3 + 4*k**2 - 2. Determine 17*v(b) + 6*w(b).
-3*b**3 - 4*b**2 + 2
Let h(g) = 1. Let j(c) = c + 4. Determine -3*h(y) - j(y).
-y - 7
Let x(d) = 4*d**3 - d**2 - 3*d. Let