 1. What is 3*d(x) + 5*k(x)?
102*x - 2
Suppose -7*n = -42 + 49. Let q(x) = -5*x**3 - 6*x**2 + 6*x + 6. Suppose -20 = 3*t - 2. Let i(g) = g**3 + g**2 - g - 1. Calculate n*q(u) + t*i(u).
-u**3
Suppose 0 = l - 5*l + 28. Let q(r) = r**3 - 7*r**2 + 3*r - 19. Let k be q(l). Let x(i) = -4*i**2 - 13. Let d(h) = h**2 + 3. Determine k*x(a) + 9*d(a).
a**2 + 1
Let n(z) = z**2 + 2*z - 5. Let c be n(4). Let a = c - 17. Suppose 0 = a*s - 14 - 8. Let u(o) = -5*o + 3. Let y(q) = 14*q - 9. What is s*u(p) + 4*y(p)?
p - 3
Let a(t) = -5*t**3 + 12 + 4*t**3 + 11*t + 0*t - 9*t**2 + 13*t**2. Let d be a(6). Let x(o) = 2*o + 4. Let r(v) = 6*v + 12. What is d*r(n) - 17*x(n)?
2*n + 4
Let k(g) = -9*g**2 + 12*g. Let l(d) = -d**2 + d. Let y be (-8 - -7)/((-7 - -3)/(-12)). What is y*k(u) + 36*l(u)?
-9*u**2
Let i(s) = -s**3 - 28*s**2 - s - 31. Let a be i(-28). Let t(y) = -10*y**2 - 26*y + 16. Let k(n) = 2*n**2 + 5*n - 3. Calculate a*t(d) - 16*k(d).
-2*d**2 - 2*d
Let g(z) = 5*z + 154. Let u(o) = 6*o + 156. Determine 4*g(w) - 3*u(w).
2*w + 148
Let g(s) = 11*s**3 + 15. Let a be (2/(-4))/(2/(-28)). Suppose -119 = 3*x + m - 112, 3*x - 2*m = -22. Let h(i) = 6*i**3 + 8. Give a*h(z) + x*g(z).
-2*z**3 - 4
Let x(o) = 2*o. Let h(p) = 63*p + 1. Give -h(i) + 4*x(i).
-55*i - 1
Let a = -125 - -130. Let c(n) = 3*n + 4. Let f(y) = 4*y + 6. What is a*f(i) - 7*c(i)?
-i + 2
Let s(k) = -2*k**3 - 3*k**2 - 3*k + 1. Let i(t) = t**3 + 2*t**2 + 4*t - 1. Calculate 3*i(w) + 2*s(w).
-w**3 + 6*w - 1
Let r(x) = 14*x**2 - 2*x - 5. Let v(t) = 15*t**2 - t - 4. Determine 3*r(a) - 4*v(a).
-18*a**2 - 2*a + 1
Let p(r) = -510*r**3 - 2*r**2 - 6. Let n(b) = 510*b**3 + 2*b**2 + 5. Give -6*n(v) - 5*p(v).
-510*v**3 - 2*v**2
Suppose -20 = -3*j - 11. Let p(g) = g**2 - 137*g**j + 277*g**3 - 138*g**3. Let v(r) = -r**3 - r**2. Calculate -2*p(l) - 2*v(l).
-2*l**3
Let l(a) = 73*a**2 + 177*a - 2. Let i(k) = -85*k**2 - 178*k + 2. Give 6*i(n) + 7*l(n).
n**2 + 171*n - 2
Let x(z) be the first derivative of -z**2 + 2*z - 62. Let m(v) = 0*v - v + 2 + 0. Suppose 3*c - 14 = 1. Give c*m(k) - 4*x(k).
3*k + 2
Let j(x) = 2*x**2 + 3*x - 1. Let i(m) = -7*m**2 + 2*m + 2. Let f(u) = -11*u**2 + 4*u + 3. Let y(s) = 3*f(s) - 5*i(s). Calculate 3*j(g) - 4*y(g).
-2*g**2 + g + 1
Let p be (1/(-3))/(2/30). Suppose 10 = 3*z + 4*u, 8*u + 2 = 2*z + 13*u. Let n(j) = j + 5. Let h(b) = -1 + 2*b - b + 5 + 0*b. What is p*n(t) + z*h(t)?
t - 1
Let t(s) = -s**3 - s**2 + s. Let j(y) = -7*y**3 - 10*y**2 + 7*y. Give j(x) - 6*t(x).
-x**3 - 4*x**2 + x
Let f(c) = 2*c**2 - 1. Let g(z) = -6*z**3 + 8*z**2 - 53. Determine -4*f(s) + g(s).
-6*s**3 - 49
Let x(d) = 6*d + 22. Let z(g) = 1. Give -x(k) + 4*z(k).
-6*k - 18
Let o(f) = f**2 - 5*f - 5. Let c(w) = -2*w**2 + 9*w + 9. Suppose 0 = a + 3*y + 12, -2*a + 5*a - y - 14 = 0. Suppose -8*k - 35 = -a*k. Give k*o(v) - 4*c(v).
v**2 - v - 1
Let j(g) = 26*g - 10. Let q(h) = 8*h - 3. Determine -2*j(v) + 7*q(v).
4*v - 1
Let i(s) = -4*s - 2. Suppose -215 = 3*r + 2*r + 3*f, -4*f + 86 = -2*r. Let k = r - -45. Let z(m) = 16*m + 9. Calculate k*z(h) + 9*i(h).
-4*h
Let d(m) = m. Let b(i) = -5. Suppose -16*y = -9*y + 7. What is y*b(s) - 2*d(s)?
-2*s + 5
Let i(v) = -2*v. Let c(k) = -k + 70. Give 2*c(b) - 2*i(b).
2*b + 140
Let y(r) = -4*r**2 + 7. Let w(g) = -11*g**2 - 8*g + 6. Let j(d) = 4*d**2 + 3*d - 2. Let k(v) = 8*j(v) + 3*w(v). Let o = 9 - 15. Calculate o*y(u) + 21*k(u).
3*u**2
Let t be (1 + -3)*1/(-2). Let c(x) = x**3 - x - 1. Let w(d) = -3*d**3 - 2*d**2 + 6*d + 5. Let f be 1/3 - (9 + 451/(-33)). What is f*c(l) + t*w(l)?
2*l**3 - 2*l**2 + l
Let r be (23/46)/((-3)/(-24)). Let f(p) = 3*p**2 - 4*p - 2. Let l(m) = -2*m**2 + 5*m + 3. Give r*f(g) + 3*l(g).
6*g**2 - g + 1
Let s(x) = 6*x**3 - 8*x**2 + 8*x. Let h = -233 - -232. Let j(o) = o**3 - o**2 + o. What is h*s(z) + 8*j(z)?
2*z**3
Let b(z) = -z + 1. Let f be b(-5). Let l(w) = 14 - 4*w - 9 - 9. Let q(h) = 3*h + 3. Suppose 2*v + v = -4*i + 5, 5 = 5*i + 4*v. Determine f*q(c) + i*l(c).
-2*c - 2
Let f(i) = 195*i**2 - 10*i + 21. Let g(x) = -39*x**2 + 2*x - 4. Give -2*f(s) - 11*g(s).
39*s**2 - 2*s + 2
Let j(i) = 345*i**2 - 2*i. Let t(h) = 1031*h**2 - 7*h - 1. Determine -7*j(w) + 2*t(w).
-353*w**2 - 2
Let o(a) = 175*a - 3. Let s(f) = -65274*f + 1118. Give -2236*o(j) - 6*s(j).
344*j
Let q(r) = r + 2. Let j be (4/(-10))/((-8)/400*-5). Let i(h) = 2*h + 2. Calculate j*i(b) + 5*q(b).
-3*b + 2
Let d(c) = 3*c + 8. Let f(h) = -2*h + 1. Give d(s) - 5*f(s).
13*s + 3
Let v(l) be the first derivative of -8*l**3/3 + l**2 + 9*l - 32. Let y be (-1 + -1)*(-14)/(-4). Let z(j) = 7*j**2 - 2*j - 8. Give y*z(r) - 6*v(r).
-r**2 + 2*r + 2
Let q = -3355 + 3352. Let l(o) = -o**2 - o + 1. Let k(m) = -m + 1. Let w(u) = -9*u + 9. Let i(h) = -24*k(h) + 3*w(h). Determine q*l(j) + i(j).
3*j**2
Let h(p) = -4370*p - 138. Let g(r) = -257*r - 8. Give 69*g(y) - 4*h(y).
-253*y
Let p(o) = 367*o**3 + 365*o**3 + 359*o**3 - 1090*o**3 - o + o**2. Let i(w) = 4*w**3 + w**2 - w. Let z be (0 - (4 - 3))*1. Determine z*i(h) + p(h).
-3*h**3
Let r(l) = -20*l**2 + 2*l - 61. Let x(h) = -11*h**2 + h - 31. Determine -6*r(m) + 11*x(m).
-m**2 - m + 25
Let x(y) = y - 4. Let o be x(16). Let d = 16 - o. Let n = 6 - 9. Let q(s) = 2*s**3 - 4*s**2 + 2*s - 5. Let l(h) = h**3 - 3*h**2 + 2*h - 4. Give d*l(f) + n*q(f).
-2*f**3 + 2*f - 1
Let r(t) = t - 3. Let o(d) = -15*d - 286. Let f be o(-19). Let h(x) = -x - 1. What is f*r(b) + 4*h(b)?
-5*b - 1
Let f(s) = -127*s + 6. Let n(z) = -254*z + 10. Calculate -5*f(h) + 3*n(h).
-127*h
Let j(x) = 7*x + 3. Let w(r) be the first derivative of -3*r**2/2 - r - 92. Calculate 6*j(v) + 15*w(v).
-3*v + 3
Let b(x) = 7*x**3 - 5*x**2. Let v(o) = 4*o**2 - 3*o + 6. Let q(f) = -f**2 + f - 2. Let d(g) = 3*q(g) + v(g). Determine b(w) + 5*d(w).
7*w**3
Let a(n) = -1. Let v(g) = g - 2. Give 11*a(b) - 4*v(b).
-4*b - 3
Let z(m) be the first derivative of m**2/2 - 3*m - 5. Suppose v - 18 = -5*w, 3*w - 14 - 15 = 2*v. Let h = -11 - -8. Let f(r) = -2*r + 6. Give h*f(y) + v*z(y).
-y + 3
Let w(t) = t**2 + 1. Let i(n) = 6*n**2 - 5*n + 4. Let z(a) = 48*a + 145. Let q be z(-3). What is q*i(g) - 4*w(g)?
2*g**2 - 5*g
Let h(t) = 0*t + t + 2*t - 6. Let w(c) be the second derivative of 4*c**3/3 - 17*c**2/2 + 79*c. Give 11*h(p) - 4*w(p).
p + 2
Let n(y) = -2 - 1 - y - 2. Let w(c) = -3. Let l be 0 - (-4 + 1 - (9 + -17)). Give l*w(p) + 3*n(p).
-3*p
Let s(h) = -15*h**2 - 707*h. Let j(q) = 4*q**2 + 236*q. What is 7*j(d) + 2*s(d)?
-2*d**2 + 238*d
Let w(s) = -9*s + 2. Let u(q) = -7*q + 2. Give -5*u(o) + 4*w(o).
-o - 2
Let v(y) = -y**2 + y - 1. Let j(w) = -2*w**3 + 26*w**2 - 6*w + 82. Let s be j(13). Let q(k) = 3*k**2 - 4*k + 2. Determine s*v(n) + q(n).
-n**2 - 2
Let z(l) = l**2 - 9*l - 1. Let k(r) = 3*r**2 - 26*r - 3. Determine 3*k(t) - 8*z(t).
t**2 - 6*t - 1
Let x(q) = 2*q - 2 + 7*q**2 + 3*q**2 - 9*q**2 + 1 - 3*q. Let y(a) = 2*a**2 - 5*a - 1. Give 3*x(v) - y(v).
v**2 + 2*v - 2
Let a(p) = -35*p**2 + 17*p - 3. Let g(x) = 18*x**2 - 9*x + 1. Let m(d) = 4*a(d) + 7*g(d). Let s(v) = -15*v**2 + 6*v - 6. Give -6*m(b) + 5*s(b).
9*b**2
Let t(x) = -25*x + 5. Let p(o) = 11*o - 3. What is -5*p(a) - 2*t(a)?
-5*a + 5
Let m(d) = -2*d**3 - 11*d**2 + 5*d. Let f(n) = -n**3 - n**2 + n. Give 5*f(k) - m(k).
-3*k**3 + 6*k**2
Let f(r) = r**3 + r**2 + 3*r + 3. Let l(a) = -4*a**3 - 2*a**2 - 8*a - 8. Determine -8*f(y) - 3*l(y).
4*y**3 - 2*y**2
Let y(t) = -8*t**2 - t + 3 - 2*t**2 - 4. Let l(z) = -3*z**2. Let m = -5 + -4. Let n be 11 + m - (0 + 0). Calculate n*y(x) - 7*l(x).
x**2 - 2*x - 2
Let n(g) = g**2 + g + 5. Let c(i) = -2*i - 6. Calculate 3*c(w) + 4*n(w).
4*w**2 - 2*w + 2
Let m(z) = 5*z**3 + 6*z**2 - 6. Let d(r) = -9*r**2 + 4*r + 5. Let n(p) = -p**3 - 17*p**2 + 7*p + 10. Let i(q) = -7*d(q) + 4*n(q). Give -7*i(j) - 6*m(j).
-2*j**3 - j**2 + 1
Let b(f) = 8*f**2 + 20*f - 10. Let j(z) = 19*z**2 + 40*z - 20. Determine -5*b(k) + 2*j(k).
-2*k**2 - 20*k + 10
Suppose 0 = a - 0 + 2. Suppose 6*l = -0*l + 132. Let i = l + -26. Let t(w) = -w**2 + 1. Let v(n) = 3*n**2 - 2. Calculate a*v(u) + i*t(u).
-2*u**2
Let b(d) = -d**3 - 53*d**2 - 151*d - 48. Let z be b(-50). Let p(o) = -3*o + 2. Let a(v) = -8*v + 6. Calculate z*a(y) - 7*p(y).
5*y - 2
Let t(m) = 5*m**2 - 4*m + 2. Let v(g) = -9*g**2 + 7*g - 3. Let x(z) = z**2 + 17*z + 55. Let n be x(-12). Give n*t(l) - 3*v(l).
2*l**2 - l - 1
Let w(i) = -20*i + 