- 1. What is u*g(s) + 4*b(s)?
2*s**3 - 3*s**2 + 1
Let w(o) = 0*o - 3*o - 5*o**2 + 0*o**2 + 3. Let m = 26 + -23. Let r be 3*(1 + 21/(-9)). Let v(f) = -6*f**2 - 4*f + 4. What is m*v(d) + r*w(d)?
2*d**2
Let p(h) = -h + 1. Let s(d) = -d + 13. Let v(m) = -2*m + 22. Let g(b) = 7*s(b) - 4*v(b). What is -g(n) + 2*p(n)?
-3*n - 1
Let l(o) = -1620*o**2 + 21*o + 42. Let x(t) = 162*t**2 - 2*t - 4. What is 2*l(f) + 21*x(f)?
162*f**2
Let n(r) = 64*r**2 + 7*r - 1. Let j(d) = -13*d**2 - d. Give 11*j(x) + 2*n(x).
-15*x**2 + 3*x - 2
Let j(w) be the first derivative of -697*w**3/3 - 51*w**2 - 102*w - 52. Let h(f) = -34*f**2 - 5*f - 5. Calculate 102*h(p) - 5*j(p).
17*p**2
Let i(x) = 1. Let l(h) be the first derivative of -h**2/2 + h - 1. Suppose -1 - 1 = 2*u. Let k = -36 - -35. What is k*l(m) + u*i(m)?
m - 2
Let d(o) be the first derivative of -2*o**2 - 27*o + 7. Let s(y) be the first derivative of d(y). Let k(i) = -i**2 + i + 5. What is -2*k(j) - 3*s(j)?
2*j**2 - 2*j + 2
Suppose 3*u + n = -0*u + 23, 3*n = -3. Suppose 0 = -4*x + u + 16. Let h(a) = 5*a**2 + 5*a + 8. Let t(r) = 9*r**2 + 9*r + 15. Calculate x*t(g) - 11*h(g).
-g**2 - g + 2
Let w(g) = 2*g**2 - 3*g - 1. Let u be 5/2*(0 + 2). Let x(q) = 4 - 152*q + 157*q + 0 - 4*q**2 - 2. Give u*w(m) + 3*x(m).
-2*m**2 + 1
Let t(c) = -6*c + 49. Let s(x) = -2*x + 25. Calculate 5*s(l) - 2*t(l).
2*l + 27
Let o(f) = 2*f + 0*f - 8*f. Let y = 175 + -76. Let s be ((-6)/2)/(y/(-264)). Let c(m) = -2*m. Calculate s*c(r) - 3*o(r).
2*r
Let z(n) = -14*n - 76. Let d(f) = 40*f + 229. Give -6*d(o) - 17*z(o).
-2*o - 82
Let k be 65/(-5) + 6 + 2. Let p(o) = -18*o + 1. Let g(d) = -27*d + 2. Calculate k*g(r) + 8*p(r).
-9*r - 2
Let k(c) = c**3 + c**2 + c. Let f(x) = x**3 + x**2 + 2*x. Let g(j) = j**2 + 3*j - 109. Let a be g(-12). Determine a*f(d) - k(d).
-2*d**3 - 2*d**2 - 3*d
Let k(s) be the second derivative of s**4/3 + 2*s**3/3 + 12*s. Let q(o) = 3*o**2 + 5*o**2 - 9*o**2 - o. Give -k(u) - 5*q(u).
u**2 + u
Let s(i) = -i**3 + 2*i**2 - 3*i + 3. Suppose 3*t + 27 = 12*t. Let u(h) = -2*h**3 + 2*h**2 - 4*h + 4. Give t*u(b) - 4*s(b).
-2*b**3 - 2*b**2
Let d(s) = -153*s + 17. Let c(i) = -308*i + 29. What is -3*c(l) + 5*d(l)?
159*l - 2
Let q(h) = -2*h**3 + 6*h**2 + 3*h - 3. Let c(y) = -2*y**3 + 7*y**2 + 4*y - 4. Suppose -11 + 119 = 4*o. Suppose t - 23 = -o. Calculate t*q(b) + 3*c(b).
2*b**3 - 3*b**2
Let d(o) = o**2 - 1. Let f = 1465 + -1462. Let z(u) = -12*u**2 + 5. Determine f*z(m) + 15*d(m).
-21*m**2
Let u(v) = -4*v**2 - 7*v - 5. Let y = 225 + -238. Suppose -12*b = -13*b + 6. Let m(a) = -9*a**2 - 15*a - 11. Determine b*m(j) + y*u(j).
-2*j**2 + j - 1
Let a = 9 - 6. Let x(n) = -n**3 + n - 1. Let p(g) = -2*g**3 - g**2 + 4*g. Let h(o) = -p(o) + x(o). Let t(y) = 2*y**3 + 2*y**2 - 5*y - 2. Give a*t(q) - 5*h(q).
q**3 + q**2 - 1
Let o(f) = -f**2. Let d(g) = 17*g**2 + g - 4. What is d(j) + 6*o(j)?
11*j**2 + j - 4
Suppose 2*u + 2*u = y + 22, -3*u - 2*y = -11. Let d(q) = 1. Let b(p) = -2*p + 9. Give u*d(j) - b(j).
2*j - 4
Let z be ((-564)/(-16))/((-3)/8). Let g = -90 - z. Let q(h) = -5*h + 4. Let t(f) = 6*f - 5. Give g*t(p) + 5*q(p).
-p
Suppose -4*a - 41 = 4*o - 9, 3*o = 5*a. Let u(i) = i**3 - i**2 + i - 1. Let c(m) = 2*m**3 - 2*m**2 + 3*m + 4. Calculate a*u(s) + c(s).
-s**3 + s**2 + 7
Let u(w) = -3*w**2 - 29*w - 3. Let y(r) = 4*r**2 + 30*r + 4. Give -6*u(k) - 5*y(k).
-2*k**2 + 24*k - 2
Let f(v) = -13*v**3 + 4*v**2 + 4*v + 3. Let l(y) = 13*y**3 - 5*y**2 - 5*y - 3. What is -5*f(u) - 4*l(u)?
13*u**3 - 3
Let h(x) = -13*x**2 + 7*x - 5. Let f(i) = -13*i**2 + 8*i - 6. Determine -5*f(y) + 6*h(y).
-13*y**2 + 2*y
Suppose 2*j = -2*y - 120, -y + j - 19 - 39 = 0. Let h = 64 + y. Let l(d) = 2*d**2 + 6*d - 8. Let g(v) = v**2 + 5*v - 7. Give h*l(q) - 6*g(q).
4*q**2 + 2
Let h(l) = -39*l. Let t be 10/(-6)*216/40. Let k(y) = 10*y. Give t*k(c) - 2*h(c).
-12*c
Let r(y) = -4*y**3 + 4*y**2 + 6. Suppose 167 - 156 = -11*b. Let h(g) = g**2 + 1. Calculate b*r(j) + 6*h(j).
4*j**3 + 2*j**2
Let b(j) = 8*j - 5. Suppose 5 = -2*i + 3*i. Suppose s - 52 = -58. Let z(n) = -4 + 9*n - n - n. What is i*b(q) + s*z(q)?
-2*q - 1
Let f(v) = 22*v + 11. Suppose -5*w - 22 = -3*c - 54, -4 = -3*c - 4*w. Let s(b) = -7*b - 4. Determine c*f(m) - 11*s(m).
-11*m
Let s(i) = -2*i + 2. Let o(w) be the first derivative of -2 + 1 - w + w**2 + 0. Let z be (-4)/30 - (-705)/2025*9. Give z*s(b) + 4*o(b).
2*b + 2
Suppose 304*u - 3 = 307*u. Let a(n) = -2*n**2 + n + 1. Let l(v) = v**2. Let q(g) = a(g) + 3*l(g). Let x(t) = -8*t**2 - 5*t - 4. What is u*x(w) - 6*q(w)?
2*w**2 - w - 2
Let w(u) = u**2 - 4254*u + 2 + 4259*u + 3. Let c(q) = 6*q + 6. What is -5*c(t) + 6*w(t)?
6*t**2
Let r = 41 + -37. Let j(z) = -z**2 + z. Let t(m) = -6*m**2 + 6*m - 1. Suppose 0 = -4*q, 0*b + 3 = -3*b + q. Give b*t(c) + r*j(c).
2*c**2 - 2*c + 1
Let u(a) = 4*a**3 - 2*a**2 + 5*a + 2. Let k(t) be the second derivative of 3/4*t**4 - 17/20*t**5 + 0 - 11*t - 7/2*t**3 - 9/2*t**2. Calculate 2*k(i) + 9*u(i).
2*i**3 + 3*i
Let u be -14*(-4 + 3) - -3. Let z = -27 + u. Let h(w) = -2*w**2 - 3*w. Let p(q) = q**2 + 2*q. Calculate z*p(s) - 6*h(s).
2*s**2 - 2*s
Let i(h) = -1 + 2*h + 3 - 2*h**2 + 0 - 3*h**2. Let t(m) be the third derivative of 3*m**5/20 - m**4/8 - 2*m**3/3 + 6*m**2 - 2*m. Calculate -7*i(w) - 4*t(w).
-w**2 - 2*w + 2
Let x(r) = -r**2 - 1. Let p(k) = -26*k**2 - 2. Let h be p(-1). Let q(u) = 9*u**2 + 7. What is h*x(g) - 4*q(g)?
-8*g**2
Let w(u) = u**2 + 1. Let g be 76/19 - (1 + -2 + 6). Let i(t) = t**3 - 2*t**2 + 2*t - 5. Give g*i(y) - 5*w(y).
-y**3 - 3*y**2 - 2*y
Let p(n) = n**2 + 4. Suppose -5*j - 25 = -0*j. Let z = 9 + j. Let m(v) = 6*v**2 + 21. Let f(h) = z*m(h) - 21*p(h). Let t(i) = i**2. Give -f(l) + 6*t(l).
3*l**2
Let z(p) = -76*p**3 + 19*p**2 + 13*p + 9. Let t(q) = -38*q**3 + 9*q**2 + 6*q + 4. Give 13*t(w) - 6*z(w).
-38*w**3 + 3*w**2 - 2
Let k(h) = 14*h. Let c(z) = 12*z + 1. Let r(b) = 3*c(b) - 2*k(b). Let q(u) = -104*u - 40. What is -3*q(d) - 40*r(d)?
-8*d
Let z(n) = 6*n**2 + 5*n - 3. Let m(u) = -17*u**2 - 14*u + 8. Let o = 1198 - 1206. What is o*z(d) - 3*m(d)?
3*d**2 + 2*d
Let q(u) = -u**3 - u**2 - u - 1. Suppose -9 = -2*h - 5. Let n(o) = 2*o + 0*o - 1 - 11*o**h + 3*o**2 + 10*o**2. Give -n(z) - 2*q(z).
2*z**3 + 3
Let b(g) = -4*g + 1. Let w(u) = -17*u + 4. Let i be -42 + -1 + (-95)/(-19). Let r = -44 - i. Calculate r*w(q) + 26*b(q).
-2*q + 2
Let h(o) = -6*o**2 + 3. Let a(t) = 7*t**2 - 4. Let m = -589 - -593. Calculate m*h(p) + 3*a(p).
-3*p**2
Let s(v) = 9*v - 8. Let n(q) = -43*q + 39. Determine -2*n(r) - 11*s(r).
-13*r + 10
Let l(f) = -3*f + 52. Let w be l(17). Let u(c) = -4*c**3 - c**2 + 3*c + 3. Let p(j) = -j**2 + j + 1. Calculate w*u(o) - 3*p(o).
-4*o**3 + 2*o**2
Let d(c) = -c**2 + 2*c**2 - 396*c + 404*c - 4*c**3. Let z(m) = -9*m**3 + 2*m**2 + 17*m. Calculate 13*d(p) - 6*z(p).
2*p**3 + p**2 + 2*p
Let l(x) = 9*x + 9. Let h(y) = -4*y - 5. Give -10*h(v) - 4*l(v).
4*v + 14
Let u(f) = 24*f**2 - 11. Let l(w) = 2 - 9*w**2 - 24*w + 24*w + 4*w**2. Give 11*l(j) + 2*u(j).
-7*j**2
Let m(v) be the first derivative of -3*v**4/4 - v**3/3 - 3*v**2/2 + v - 273. Let y(b) = b**3 - b**2 - b + 1. Determine m(a) - y(a).
-4*a**3 - 2*a
Let a(i) = 14*i + 4. Let r(q) = 14*q + 6. Calculate -3*a(w) + 2*r(w).
-14*w
Let c(j) = -j - 6. Let l(s) = s**2 + 5*s + 3. Let i be l(-4). Let w(x) = 3*x**2 - 2*x - 15. Let z be w(3). Let b(n) = -n - 1. Determine i*c(r) + z*b(r).
-5*r
Let z(r) = 2*r**2 - r + 10. Let h(s) = -1. Let i(w) = -5*h(w) + z(w). Let d(b) be the first derivative of i(b). Let o(f) = 6*f - 2. What is 8*d(t) - 5*o(t)?
2*t + 2
Let k(s) = -8*s**3 - 6*s**2 + s + 6. Suppose -11*r + 55 = -7*r + 3*t, -5*t - 60 = -5*r. Let o(b) = 17*b**3 + 13*b**2 - 3*b - 13. Determine r*k(m) + 6*o(m).
-2*m**3 - 5*m
Let v(y) = -16*y + 9. Let x(n) be the second derivative of -n**3/2 + n**2 - 20*n. What is 2*v(z) - 11*x(z)?
z - 4
Let c(h) = h + 3. Let o(q) be the first derivative of 0 - q + 5 + 1. Suppose -5*j + 10 + 21 = 4*m, -m + 13 = 3*j. Calculate j*o(u) + c(u).
u
Let c(t) = 6*t**2 - 3*t - 1. Suppose 0 = 40*m - 43*m + 9. Suppose -m*x + 2*x = 2, 0 = -2*n + 3*x - 4. Let u(y) = -11*y**2 + 5*y + 1. Calculate n*c(a) - 3*u(a).
3*a**2 + 2
Let j(k) = -440*k**2 - 6. Let c(x) = -1321*x**2 - 20. Calculate 2*c(h) - 7*j(h).
438*h**2 + 2
Let k(p) = -p**3 + 2*p**2 + 13*p. Let x(d) = -d**3 - d**2 +