 1
Let n(s) = s**3 + s - 2. Let w(q) = -14*q - 4*q**3 + 6*q + 2 + 5 + 5*q. Determine 14*n(r) + 4*w(r).
-2*r**3 + 2*r
Let u(k) = -3*k - 1. Suppose -12 = -4*s + 4. Let x(a) = s + 0 - 4*a - 5. Give 6*u(c) - 5*x(c).
2*c - 1
Let w(k) = k**2. Let m(z) = 6*z**3 + 6*z**2. Determine -5*m(n) + 30*w(n).
-30*n**3
Let t(d) = 7. Let r(h) = 4. Let x(w) = 5*r(w) - 3*t(w). Let j(z) = 0 + 2*z + 2 - 1. Calculate j(a) + x(a).
2*a
Let q(m) = 33*m - 11. Let g(v) = -17*v + 6. Calculate 11*g(p) + 6*q(p).
11*p
Let m be ((-10)/(-6))/(1/3). Let f(l) = 2*l + 4. Let u(n) = 10*n + 20. Let t(s) = 14*f(s) - 3*u(s). Let p(q) = -3 + q + 3 - 5 - 3*q. Determine m*t(j) - 4*p(j).
-2*j
Let m(y) be the second derivative of -11*y**3/6 + 28*y. Let v(r) = -7*r. Give -5*m(b) + 8*v(b).
-b
Let g(k) = 7*k - 1. Let j(b) = -14*b + 2. What is 7*g(l) + 3*j(l)?
7*l - 1
Suppose -8 = -2*s + 4*s. Let f(r) = -6*r. Let v(b) = -3*b. What is s*f(p) + 9*v(p)?
-3*p
Let l = -21 - -12. Let u(x) = 3*x**2 - 3*x + 2. Let q(b) = -13*b**2 + 13*b - 9. What is l*u(y) - 2*q(y)?
-y**2 + y
Let w(c) = 8*c**3 + 7*c**2 + 6*c + 10. Let z(t) = t**3 + t**2 + t. Determine -w(n) + 6*z(n).
-2*n**3 - n**2 - 10
Let p(s) = s**3 + s**2 - 3*s. Let m(k) = -k**3 - k**2 + 4*k. What is -3*m(x) - 4*p(x)?
-x**3 - x**2
Let u(i) be the third derivative of i**6/120 - i**3/6 + 3*i**2. Suppose -3*m = 2*d + 23, d - 1 = -2. Let v(z) = -2*z**3 + 2. Calculate m*u(j) - 3*v(j).
-j**3 + 1
Let d(m) = 28 - 3*m**3 - 3*m**3 + 2*m - 23 - 4*m**2. Suppose -6 = -4*f - 22. Let n(y) = 5*y**3 + 3*y**2 - y - 4. Determine f*n(h) - 3*d(h).
-2*h**3 - 2*h + 1
Let d(x) = -x**2 + 3*x - 2. Let r be d(0). Let u(i) = -4*i + 3. Let a(h) = -h + 1. Give r*a(m) + u(m).
-2*m + 1
Suppose 0*j = 2*j - 6. Let b(w) be the third derivative of 7*w**6/60 + 11*w**4/24 + 2*w**2 + 38. Let z(s) = 5*s**3 + 4*s. What is j*b(r) - 8*z(r)?
2*r**3 + r
Let y = -3 + 3. Let k(x) = -x + 0*x**2 + x**2 + y*x**2. Let m(f) = -2*f + 2*f - 13*f**2 + 11*f**2. Give -2*k(b) - 2*m(b).
2*b**2 + 2*b
Let u(k) = 13*k**3 - 11*k - 11. Let o(g) = -7*g**3 + 7*g + 3 - g + 3. Let r be 2/(-8) - (-69)/(-12). Calculate r*u(q) - 11*o(q).
-q**3
Suppose 4*m - 12 = -w, 0 = -2*w + 2*m - 6*m + 16. Suppose t - 2 = w. Let x(u) = u**3 - 1. Let i(j) = -4*j**3 - 2*j**2 + j + 6. Determine t*x(z) + i(z).
2*z**3 - 2*z**2 + z
Let t(l) = 2*l + 55. Let u(s) = s. What is -t(o) + 4*u(o)?
2*o - 55
Let k(h) = -5*h + 5. Let o(z) = 3*z + 49. Let j be o(-18). Let b(g) = -6*g + 6. Give j*k(q) + 4*b(q).
q - 1
Let m(u) = 11*u**2 - u. Let q(i) = 11*i**2 - 2*i - 1. Calculate -4*m(d) + 3*q(d).
-11*d**2 - 2*d - 3
Let m(w) = -17*w**3 - 2*w**2 + 4. Let o(p) = 35*p**3 + 5*p**2 - 9. Calculate -5*m(z) - 2*o(z).
15*z**3 - 2
Let p(c) = -3*c. Let w(i) = 3*i. Suppose -3*d = d + r - 26, -2*d = 2*r - 16. Determine d*p(q) + 7*w(q).
3*q
Let x(q) = -11*q**2 - 3*q - 5. Let d(o) = 17*o**2 + 4*o + 7. What is 5*d(v) + 7*x(v)?
8*v**2 - v
Let t(l) = l**2 - l - 1. Let n(h) = -48*h - 48. Calculate n(d) - 48*t(d).
-48*d**2
Let y(u) = -u + 4. Let n(r) = -r + 6. Let d(z) = 3*n(z) - 4*y(z). Let l(p) = -p. Determine d(x) + 2*l(x).
-x + 2
Suppose -2*d - 3*d = 2*s + 28, -4*s - 14 = 3*d. Let z(u) = 11*u - 14. Let b(n) = 4*n - 5. What is d*z(h) + 17*b(h)?
2*h - 1
Let h(r) = 3*r**2 + 6 + 176*r - 171*r - 1. Let o(m) = -m**2 - 2*m - 2. Calculate 2*h(j) + 5*o(j).
j**2
Let x(r) = r**2 - r. Let v(i) = -15*i**3 - 3*i**2 + 6*i + 2. Determine v(d) + 6*x(d).
-15*d**3 + 3*d**2 + 2
Let u(x) = -112 - x - 2*x**2 + x + 109. Let k(f) = 4*f**2 - f + 7. Give 2*k(m) + 5*u(m).
-2*m**2 - 2*m - 1
Let p(y) = 12*y + 3. Let j(b) = 25*b + 5. Calculate -3*j(a) + 5*p(a).
-15*a
Let c(f) = -1. Let v(n) = -2*n**2 - 5*n + 2. What is 2*c(x) + v(x)?
-2*x**2 - 5*x
Let x(a) = a + 6. Let z(w) = w + 7. Let g = -3 + 4. Let o = 4 + g. Suppose -22 = -2*u + 4*d, -o*u - 2*d + 15 = -16. What is u*x(t) - 6*z(t)?
t
Let h(g) = 4*g**2 - 3*g. Suppose 7*q + 4*j = 3*q - 36, 4*q = 3*j - 15. Let t(w) = -23*w**2 + 17*w. Calculate q*t(x) - 34*h(x).
2*x**2
Let l(o) = 6*o**3 - 5*o**2 + 8. Let n(z) = -z**3 + 1. Let s(c) = l(c) - 3*n(c). Let b(f) = 5*f**3 - 3*f**2 + 3. Let p be 2*10*(-1)/4. What is p*b(i) + 3*s(i)?
2*i**3
Let o = 1 + 3. Let u(b) = 3*b - 4. Let q(j) = 4*j - 4. Let i(w) = o*q(w) - 5*u(w). Let a(v) = 1 + 0 + 0. What is 7*a(n) - 2*i(n)?
-2*n - 1
Let l(y) = -y**2 + y + 1. Let i(j) be the third derivative of -j**5/20 + j**4/8 + j**3/2 - 4*j**2. Give i(c) - 5*l(c).
2*c**2 - 2*c - 2
Let y(n) be the first derivative of -3*n**4/4 - 3*n - 1. Let d = 32 + -29. Let b(s) = 6*s**3 + 7. What is d*b(f) + 7*y(f)?
-3*f**3
Let z(c) = -c + 1. Let k(q) = 6*q + 9. Calculate -k(r) + 9*z(r).
-15*r
Let p(w) = -2*w**2 - 3 + 1 + 0. Suppose -3*b - 5 = 4*c, -6*c - 2*b = -c + 8. Let j(d) = d**2 - d + 1. What is c*p(q) - 2*j(q)?
2*q**2 + 2*q + 2
Let j(n) = 32*n**2 - 3. Let i(k) = 319*k**2 - 29. What is -6*i(d) + 58*j(d)?
-58*d**2
Let h(s) = -58*s + 5. Let d(w) = w + 1. Give -4*d(p) + h(p).
-62*p + 1
Let v(n) = n. Suppose 0*g + 3*o = -5*g + 19, 0 = 5*g - 5*o - 35. Let x = 1 + g. Let t(b) = -b. What is x*t(q) + 3*v(q)?
-3*q
Let z(k) = -4*k + k + 2*k. Let i = 128 - 129. Let x(p) = 4*p + 2. Determine i*z(d) - x(d).
-3*d - 2
Let k(l) = l**3 - 5*l + 5. Let y = -6 + 12. Let x(u) = 2 - u - 7 + y. Give k(i) - 5*x(i).
i**3
Let m(g) be the third derivative of g**5/60 + g**4/8 - g**2. Let a(b) = -5*b**2 - 13*b. Let s(w) = -w**2 - 4*w + 3. Let d be s(-5). Give d*a(i) - 9*m(i).
i**2 - i
Let c(j) = j**3 + 8*j**2. Suppose -99 = -3*u - 0*u. Let b = u + -15. Let w(o) = -o**2. Determine b*w(g) + 2*c(g).
2*g**3 - 2*g**2
Let u = -5 - -3. Let z(h) = 2*h. Let q(v) = v**2 + 3*v. Determine u*q(a) + 3*z(a).
-2*a**2
Let g(r) = 4*r + 6. Let f(t) = -t - 1. Suppose -3*b - 5 = -2. Let c(h) = -7*h**2 + 1. Let w = -1 + 2. Let l be c(w). Calculate b*g(v) + l*f(v).
2*v
Let k(j) = 14*j**2 - 14*j**3 - 8 + 14*j + 22 - 4*j**3. Let c(i) = -6*i**3 + 5*i**2 + 5*i + 5. Determine -14*c(z) + 5*k(z).
-6*z**3
Let x(y) = -y**3 + y**2 - y + 1. Let b(l) = -3*l**3 - 2. Calculate b(q) + 2*x(q).
-5*q**3 + 2*q**2 - 2*q
Let m(f) = -5 + 7 - 5 - 3*f + f**2. Let i(l) = l + 1. Calculate -5*i(o) - m(o).
-o**2 - 2*o - 2
Let h(u) = 41*u**2 - 5*u - 5. Let r(l) = -1127*l**2 + 138*l + 138. What is 138*h(d) + 5*r(d)?
23*d**2
Let s be -1 - (4 - 2 - 2). Let h(l) = -l. Let i(r) = -2*r**2 + 3*r - 8. Let z(v) = 2*v**2 - 3*v + 7. Let b(c) = -5*i(c) - 6*z(c). Give s*b(x) - h(x).
2*x**2 - 2*x + 2
Let a(j) = -j**2 + 3*j - 5. Let y(p) = -3 + 2*p**2 - 3*p + 7 - p + 2. Calculate -4*a(r) - 3*y(r).
-2*r**2 + 2
Let r(v) = 56*v**2 + 42*v - 42. Let l(n) = -n**2 - n + 1. What is 42*l(h) + r(h)?
14*h**2
Let a(h) = -2*h - 1. Let f(p) = -2*p - 1. Calculate 5*a(r) - 6*f(r).
2*r + 1
Let m(t) = -9*t**3 + 9*t**2 + 4. Let z(a) be the first derivative of 5*a**4/4 - 5*a**3/3 - 2*a - 1. Suppose 21 = -7*v - 0. Give v*m(w) - 5*z(w).
2*w**3 - 2*w**2 - 2
Let f(c) = c + 1. Let o(p) be the second derivative of p**4/6 + p**3 + 3*p**2 + 8*p. Determine 6*f(y) - o(y).
-2*y**2
Let n(z) = z + 1. Let v(l) = 3 + 0*l + l - 2. Let q be ((-3)/(-6))/((-234)/(-60) - 4). What is q*v(w) + 4*n(w)?
-w - 1
Let s(d) = -4*d**2 + 4*d + 4. Let u(k) = k**2 - k - 1. Let w(r) = -r**3 + 10*r**2 - 8*r - 10. Let b be w(9). Determine b*s(y) - 5*u(y).
-y**2 + y + 1
Let d(l) = 2*l**2 - 3*l + 4. Let b be (-300)/(-36) - 2/6. Let u(o) = 6*o**2 - 8*o + 11. Determine b*d(x) - 3*u(x).
-2*x**2 - 1
Let r(z) = -2*z**2 - z - 9. Let o be r(0). Let h(n) = 19*n**2 + 9*n. Let y(u) = 9*u**2 + 4*u. What is o*y(t) + 4*h(t)?
-5*t**2
Let r(p) = 104*p - 14. Let t(b) = -21*b + 3. Calculate -6*r(j) - 28*t(j).
-36*j
Suppose -24 = -0*d + 4*d. Let b(g) = -3*g + 1. Let l(m) = 4*m + 4. Let n(v) = -4*v - 5. Let q(u) = 6*l(u) + 5*n(u). Give d*b(j) - 5*q(j).
-2*j - 1
Suppose -4*l = -2*x - 20, 2*x = 6*x - 8. Suppose -l = 4*p - m + 8, 2*m = -4*p - 8. Let b(k) = -2*k + 3. Let j(c) = -c + 2. Calculate p*j(z) + 2*b(z).
-z
Let h(z) = 5*z - 2*z + 2 - 4*z. Let a(w) = -5*w + 3*w + w + 4 - w. What is -3*a(i) + 7*h(i)?
-i + 2
Suppose 0 = -k - 3*k + 4. Let n(l) = 8*l + 6. Let p(c) be the third derivative of c**4/24 + c**3/6 + 8*c**2. Calculate k*n(r) - 6*p(r).
2*r
Let d(b) = -b**3 - 4*b - 4. Let r(f) be the third derivative of -f**6/40 - 3*f**4/8 - 3*f**3/2 + 10*f**2. What is -9*d(w) + 4*r(w)?
-3*w**3
Let t(r) = -r