- 3
Let j(u) = -4*u + 3. Let v(n) = 4. Let k(c) = -15*c + 47. Let d(z) = -4*k(z) + 36*v(z). Give 6*d(m) + 88*j(m).
8*m
Let c(q) = -q - 1. Let n(d) = d**3 + 7*d**2 - 6*d + 12. Let z be n(-8). Let j(m) = -m**2 + 6*m + 1. What is z*c(s) - j(s)?
s**2 - 2*s + 3
Let d = -3 + 1. Let v(j) be the first derivative of j**2 - 4*j + 8. Let l(f) = f**2 - f + 1. Determine d*l(s) - v(s).
-2*s**2 + 2
Let x(m) = 4*m. Let j(d) = -19*d + 11*d + 5*d. Let y(q) = 4*q. Let p(o) = 7*j(o) + 5*y(o). Give -9*p(n) - 2*x(n).
n
Let w(h) = -6*h**3 + h**2 + h. Let n(l) = -51*l**3 + 3*l**2 + 3*l + 4. Calculate n(c) - 3*w(c).
-33*c**3 + 4
Let a(n) = -3*n**2 + n + 9. Suppose 0 = 90*x - 192 - 258. Let r(c) = 7*c**2 + 4*c - 5. Let v(u) = u**2 + u. Let f(m) = r(m) - 5*v(m). Give x*f(p) + 3*a(p).
p**2 - 2*p + 2
Let z(u) be the first derivative of -u**2/2 + u + 71. Let o(x) = 6*x**2 - 3*x + 3. Calculate o(d) - 3*z(d).
6*d**2
Let y(o) = -5*o + 12. Suppose -2*g - 11*g + 78 = 0. Let n(r) = -4*r + 12. Determine g*n(f) - 5*y(f).
f + 12
Let y(x) = 4*x**3 - 3178 + 3178 - 2*x**2 + 4*x**2. Let v(o) = 21*o**3 + 11*o**2. Calculate 2*v(k) - 11*y(k).
-2*k**3
Let v(y) = y**3 + y + 1. Let q(a) be the first derivative of a**4/4 + 4*a - 1. Suppose -8*s + 2*g + 14 = -4*s, -s + g + 6 = 0. What is s*q(k) - 2*v(k)?
-k**3 - 2*k + 2
Let c(v) = -v**2 - v. Let g(i) = -5*i**2 - 6*i + 23. What is -6*c(q) + g(q)?
q**2 + 23
Let h(l) = -5*l - 1 - l - l. Let o = 47 - 42. Let x(n) = 18*n + 3. Let g(k) = -12*k - 2. Let y(f) = -7*g(f) - 5*x(f). Give o*y(r) - 4*h(r).
-2*r - 1
Let w(v) = -3*v - 3. Suppose 34 = 9*y - 11. Let o(r) = r + 2. Calculate y*o(s) + 3*w(s).
-4*s + 1
Let l(g) = g**2 + 5*g - 2. Let b be ((-15)/12)/(2/(-16)*-2). Let t(n) be the second derivative of -n**4/12 - n**3 + n**2 - 35*n. Determine b*t(w) - 6*l(w).
-w**2 + 2
Let c(z) = -2*z**2 + 7*z - 4. Let i(d) = 2*d + 1. Determine c(x) - 4*i(x).
-2*x**2 - x - 8
Let o(w) = w**2 + 1. Let z(q) = -132*q**3 - 22*q**2 - 22. What is 44*o(v) + 2*z(v)?
-264*v**3
Let z(a) = 2*a - 24. Let d(w) = -w + 9. Determine 11*d(n) + 4*z(n).
-3*n + 3
Let x be 2/(-2)*(-2)/(-4)*10. Let w(q) = 11*q**3 + 2*q**2 + q + 3. Let o(p) = 21*p**3 + 5*p**2 + 3*p + 7. Give x*w(v) + 2*o(v).
-13*v**3 + v - 1
Let l(z) = z - 1. Let o(m) = m + 5. Suppose 5*y = 5*k + 65, -4*k - 3*y = -5*y + 42. Let f be o(k). Let u(s) = -3*s + 2. Determine f*u(g) - 7*l(g).
2*g + 1
Let m(w) = -7*w**3 + 5*w. Let t(y) = y**2 + 4*y + 42. Let x be t(8). Let h(p) = -2*p**3 + x*p + 6*p**3 - 141*p - p**3. Determine -5*h(g) - 3*m(g).
6*g**3
Let u(b) be the second derivative of 5*b**4/12 - 11*b**3/6 - 17*b**2/2 + 336*b. Let k(w) = 3*w**2 - 6*w - 9. Give 7*k(x) - 4*u(x).
x**2 + 2*x + 5
Let x be 1/3*(18 - 12). Suppose 0*r + 5*r = 5. Let o(y) = -2*y - 1. Let k(j) = 3. Let l(b) = -10. Let u(i) = 7*k(i) + 2*l(i). Calculate r*o(h) + x*u(h).
-2*h + 1
Let c(p) = -21*p**3 + 21*p**2 - p + 11. Let r(z) = 4*z**3 - 4*z**2 - 2. Suppose -8 + 40 = 2*s + 2*j, -2*j = 4*s - 54. Determine s*r(w) + 2*c(w).
2*w**3 - 2*w**2 - 2*w
Let i(g) = g**3 + 2*g. Let k(z) = -2*z**3 + z**2 - 6*z - 9. Give -3*i(s) - k(s).
-s**3 - s**2 + 9
Let h(m) = -21*m**2 + 4*m + 7. Let p(l) = -41*l**2 + 8*l + 12. Calculate 7*h(k) - 4*p(k).
17*k**2 - 4*k + 1
Let v(r) = -4*r**3 - 3*r**2 + 2*r + 7. Let u(g) = -9*g**3 - 7*g**2 + 5*g + 15. Let y = 307 - 314. Give y*v(t) + 3*u(t).
t**3 + t - 4
Let x(j) = 198*j - 18. Let u(r) = -99*r + 8. What is 9*u(p) + 4*x(p)?
-99*p
Let c(i) = -4*i + 8. Let f = 402 + -407. Let w(p) = 4 - 11 + p + 2*p. What is f*c(x) - 6*w(x)?
2*x + 2
Let l(a) = 4*a - 3 - 5*a + 6*a. Let b(n) = -n + 1. Let y = -8 + 6. Calculate y*l(r) - 6*b(r).
-4*r
Suppose 2 + 3 = -n. Let j(s) = -20*s**2 - 22*s**2 + 86*s**2 - 22*s**2 + 8 - 20*s**2. Let z(q) = 2*q**2 + 7. Give n*z(g) + 4*j(g).
-2*g**2 - 3
Let s(r) = -3*r**3 - 2*r**2. Suppose 28*g + 513 = -75. Let b(o) = 10*o**3 + 7*o**2. Determine g*s(q) - 6*b(q).
3*q**3
Let t(n) = -2 - 2 - 3*n + 5. Suppose 3*p - 10*p = 21. Let w be (-8)/(-3)*3/2. Let s(u) = -2*u + 1. Calculate p*t(v) + w*s(v).
v + 1
Let m(i) = 396. Let b(x) = -79. Let q(a) = 5*b(a) + m(a). Let g = -6 + 8. Let h(n) = -n + 7. Calculate g*h(c) - 14*q(c).
-2*c
Suppose -x + 5 = 1. Let d be x/10 - (-8)/(-20). Let i(k) = 3*k**2 + 0*k + 0*k**2 + d*k - 2*k. Let c(w) = 7*w**2 - 5*w. Determine 2*c(o) - 5*i(o).
-o**2
Suppose -4*i + 5*f + 9 = 13, -f - 4 = 4*i. Let k(c) = c. Let w(l) = 18*l. What is i*w(g) + 4*k(g)?
-14*g
Let s(x) = -x**2 - 3*x + 3. Let z(t) = 0 + 0 + t - 1. Let h = 135 - 134. Calculate h*s(u) + 3*z(u).
-u**2
Let g(z) = -168*z + 216. Let r(y) = 24*y - 31. Let u(v) = 3*g(v) + 20*r(v). Let n(f) = f - 1. What is -56*n(t) - 2*u(t)?
-8*t
Let b(c) = -c. Let x(j) be the third derivative of j**4/8 + 86*j**2 + 2*j. Calculate 2*b(w) + x(w).
w
Let w(p) = 553*p**3 + 8*p**2 - 8*p + 8. Let r(n) = -369*n**3 - 5*n**2 + 5*n - 5. Calculate 8*r(q) + 5*w(q).
-187*q**3
Let j(t) = -t**3 - 6*t**2 - 137*t. Let o(d) = 2*d**3 + 11*d**2 + 274*d. Give 11*j(b) + 6*o(b).
b**3 + 137*b
Let s(b) = 6*b + 1. Let r(q) = -7*q - 1. Suppose 2*h - 2 = 2*m, -5*h + 2*m + m + 11 = 0. What is h*s(d) + 3*r(d)?
3*d + 1
Let c(f) = -96*f**2 - 23*f + 12. Let d(a) = 31*a**2 + 8*a - 4. Calculate 6*c(w) + 17*d(w).
-49*w**2 - 2*w + 4
Let n(k) be the first derivative of -k**2/2 - 9*k + 551. Let p(c) = c + 4. Calculate 3*n(t) + 5*p(t).
2*t - 7
Let z(g) = g**3 + g**2 - g - 1. Let b(f) = 6*f**3 + 8*f**2 + 16*f - 8. Calculate b(c) - 8*z(c).
-2*c**3 + 24*c
Suppose 15 = -0*o + 3*o, -3*w + 2*o = 1. Let s(b) = -48*b**3 + 54*b**3 + w - 6. Let t(r) = 11*r**3 - 5. Give -5*s(c) + 3*t(c).
3*c**3
Let x(q) = 9*q + 53. Let c(v) = 3*v + 26. Give 5*c(n) - 2*x(n).
-3*n + 24
Let h(b) = -b. Let y(a) = -2. Suppose 11*r - 6*r - 3*k = 20, 2*r - 3*k - 8 = 0. Calculate r*h(z) + y(z).
-4*z - 2
Let u(w) = -4*w - 48. Let j(t) = 17*t + 193. Determine 2*j(z) + 9*u(z).
-2*z - 46
Suppose -1 = -0*r + r + g, -5*r + 30 = -2*g. Let v(s) = -5*s - 5. Let p(l) be the first derivative of l**2/2 + l + 17. Give r*p(o) + v(o).
-o - 1
Let q(c) be the second derivative of -c**5/20 - c**4/4 + c**3/2 + c**2 - c. Let g be q(-3). Let o(p) = -p - 5. Let w(n) = n + 9. What is g*o(v) - 4*w(v)?
3*v - 1
Let w = 9444 - 9448. Let t(a) = 3*a + 7. Let u(i) = -5*i + 3*i + 6 + 5*i. What is w*t(s) + 5*u(s)?
3*s + 2
Let v(u) = -5*u**2 + 2*u. Suppose 0 = -10*b + 21*b - 44. Let x(i) = -9*i**2 + 3*i. Give b*x(l) - 7*v(l).
-l**2 - 2*l
Let b = 23 + -9. Let y = b + -20. Let a(f) = 2*f**3 - 5*f**2 + 5*f + 5. Let z(r) = -r**2 + 2 + 3*r - r**2 - r**2 + r**3 + 1. What is y*a(c) + 10*z(c)?
-2*c**3
Let x = 449 + -447. Let i(b) = 352*b**2 - 55*b + 55. Let j(w) = -13*w**2 + 2*w - 2. What is x*i(p) + 55*j(p)?
-11*p**2
Let f(g) = 5*g**2 + 9*g + 1. Let w(j) = j**2 + 5*j + 2 - 3*j - 2. Suppose -35*a - 199 = 116. Calculate a*w(t) + 2*f(t).
t**2 + 2
Let m(y) = -4*y**2 + 2*y + 4. Let o(k) = 2*k**2 - 3*k - 2. Let l be o(-1). Let z be ((-60)/(-25))/l*-5. Let v(i) = -2*i**2 + i + 2. What is z*m(r) + 7*v(r)?
2*r**2 - r - 2
Let l(r) = 3*r**2 + 3. Let g(f) = 2*f**3 + 21*f**2 + 6*f + 22. Let v(u) = -u**3 - 2*u**2 - 2*u - 2. Let d(n) = g(n) + 3*v(n). Determine 2*d(q) - 11*l(q).
-2*q**3 - 3*q**2 - 1
Suppose 0 = 48*s - 62*s - 28. Let y(h) = -h**2 + h + 1. Let d(j) be the third derivative of -j**5/60 + j**4/12 + j**3/3 + 2*j**2. Give s*y(u) + d(u).
u**2
Let m(u) be the first derivative of -u**4/4 - 5*u**3/3 - 5*u**2/2 + 1. Let x(n) = n + 14. Let q be x(-9). Let v(o) = -o**2 - o. Determine q*v(i) - m(i).
i**3
Let o(q) = -1. Let g(m) = 5*m - 47. Let r(p) = -6*p + 48. Let f(i) = -7*g(i) - 6*r(i). Let b(j) = 8. Let w(z) = -11*b(z) + 2*f(z). Determine 6*o(l) - w(l).
-2*l
Let d(o) = 33*o + 35. Let i(j) = 40*j + 35. Determine -6*d(h) + 5*i(h).
2*h - 35
Let p(a) = 5*a**3 + 3*a**2 - 3*a + 186. Let z(q) = -8*q**3 - 5*q**2 + 5*q - 374. Determine 5*p(b) + 3*z(b).
b**3 - 192
Let x be -14*(-7)/(28/8). Suppose 0 = j + 3*o, 0 = 4*j - 6*o + 4*o + x. Let n(i) = -7*i - 1. Let v(q) = -6*q - 1. Give j*v(l) + 5*n(l).
l + 1
Let b(s) = 252*s**2 + 8. Let k(u) = -2015*u**2 - 62. Give 31*b(i) + 4*k(i).
-248*i**2
Let s(j) = 1. Let m(d) = 12 + 795*d - 793*d - 3. Determine m(t) - 2*s(t).
2*t + 7
Let m(p) = -p + 3. Let k be m(-3). Suppose -5*b = -1 + k. Let q(v) = -19*v + 12*v + 4*v + 2*v. Let l(y) = -2*y + 1. What is b*l(d) + 