- 14*t(n). Let l(i) = i**2 + 2*i - 10. Determine 3*l(g) - 5*w(g).
-2*g**2 + g - 5
Let m(r) = 412*r**3 - 1648*r**2 - 2472. Let t(a) = 2*a**2 + 3. Determine m(d) + 824*t(d).
412*d**3
Suppose 346*j + 5238 = 2124. Let g(t) be the first derivative of -10*t**2 - 9*t - 3. Let p(o) = -10*o - 4. What is j*p(x) + 4*g(x)?
10*x
Let v(b) = -b. Let o be v(5). Let a(k) = k + 4. Let j(m) be the second derivative of 0 + 1/3*m**3 - 66*m + 7/2*m**2. Determine o*a(i) + 3*j(i).
i + 1
Let m(g) = -3*g**3 + 2*g**2 - 4*g - 1. Let u(q) = 19*q**3 - 15*q**2 + 29*q + 9. What is -7*m(r) - u(r)?
2*r**3 + r**2 - r - 2
Let t be (-32)/4*6/(-12). Let b(m) = -6*m**3 - 2*m**2 + 3. Let v(g) = 7*g**3 + 3*g**2 - 4. Determine t*b(k) + 3*v(k).
-3*k**3 + k**2
Let m(z) = 3*z**2 - 13. Let d(f) = 53*f**2 - 11*f - 21. Let g(j) = -29*j**2 + 6*j + 12. Let s(c) = -6*d(c) - 11*g(c). Give 3*m(x) - 7*s(x).
2*x**2 + 3
Let k(s) = -72270*s - 219. Let v(u) = -2644*u - 8. Give 8*k(q) - 219*v(q).
876*q
Let s(r) = 2*r**3 + 11*r**2 + 7*r - 7. Let x(f) = -f**3 - 5*f**2 - 3*f + 4. Suppose 0 = 83*j + 81 + 127 + 41. What is j*s(n) - 7*x(n)?
n**3 + 2*n**2 - 7
Let u(g) = -9*g - 837. Let b(l) = -8*l - 838. What is 7*b(d) - 6*u(d)?
-2*d - 844
Let o(q) = -q**3 + 3*q**2 - 6*q + 1. Suppose -13*v - 12 + 8 = 9. Let l(z) = z**2 - z. Determine v*o(g) + 3*l(g).
g**3 + 3*g - 1
Let p(x) = -5*x**3 + 2*x**2 - 3*x + 4. Let f(s) be the third derivative of 7*s**6/60 - s**5/10 + s**4/3 - 11*s**3/6 + 5*s**2 + 119. What is -4*f(v) - 11*p(v)?
-v**3 + 2*v**2 + v
Let n(k) be the third derivative of 1/24*k**4 - 1/6*k**3 - 5*k**2 + 0*k + 15 + 1/60*k**5. Let g(r) = -6*r**2 - 9*r + 9. Determine g(t) + 9*n(t).
3*t**2
Let a(f) = -3*f**3 + 24*f + 1009. Let o(m) = -m**3 - 4*m. Give -a(c) - 6*o(c).
9*c**3 - 1009
Let r(b) = 231*b**2 - 17. Let q(n) = 231*n**2 - 15. Calculate 5*q(f) - 4*r(f).
231*f**2 - 7
Let c(o) = 39*o**2 - 299. Let p(g) = -8*g**2 + 59. Determine -3*c(i) - 14*p(i).
-5*i**2 + 71
Let k(s) = -101*s - 1307. Let f be k(-13). Let x(r) = -9*r. Let l(j) = -26*j - 1. Give f*l(b) - 17*x(b).
-3*b - 6
Let p(m) = -28*m**2 + 3*m - 3. Let j be (-3 + 4 - -43) + 132/22. Let q(k) = 475*k**2 - 50*k + 50. Calculate j*p(g) + 3*q(g).
25*g**2
Let b(x) = -15*x + 43. Let n(w) = 16*w - 41. What is -4*b(r) - 3*n(r)?
12*r - 49
Suppose -3*q + 3 = 0, 8*i - 13*i - q - 29 = 0. Let c(y) = 5*y**3 - 10*y + 7. Let t(z) = -z**3 - 1. What is i*t(x) - c(x)?
x**3 + 10*x - 1
Let s(r) be the third derivative of -r**6/120 + r**4/8 + r**3/6 + r**2 - 939*r + 1. Let d(c) = -2*c**3 + 4*c + 1. Determine 3*d(u) - 4*s(u).
-2*u**3 - 1
Let y(x) = 3*x**2 + 2*x - 1. Let p(n) = 3*n**3 - 6*n**2 + 6*n + 6. Give -p(c) - 2*y(c).
-3*c**3 - 10*c - 4
Let f(s) = 12*s + 7. Let j(u) be the third derivative of 0*u - 118*u**2 + 0 + 1/2*u**3 + 1/4*u**4. Determine -2*f(h) + 5*j(h).
6*h + 1
Let p(c) = -6*c. Let d(z) = 30*z. Let i(f) = 4*d(f) + 21*p(f). Let a be -46*(6 + (-85)/10). Let u be 82/10 - 23/a. Let g(k) = -4*k. What is u*g(x) - 5*i(x)?
-2*x
Let x(p) = -7*p**3 - p**2 + p - 1. Let a(c) = 16*c**3 + 2*c**2 - 2*c + 167. Give a(r) + 2*x(r).
2*r**3 + 165
Let x be (-3)/(-5) - (-5022672)/30. Let q(t) = -x + t + 167423. Let j(g) = 12*g. What is -4*j(r) + 44*q(r)?
-4*r
Let u(k) = -664*k**2 - 35*k + 1. Let d(w) = -2655*w**2 - 151*w + 4. Determine 3*d(x) - 13*u(x).
667*x**2 + 2*x - 1
Let n(m) = -1054*m - 4. Let q(v) = 1002*v + 3. Determine 2*n(k) + 3*q(k).
898*k + 1
Let g(d) = -d**2 + 19*d + 15. Let p be g(19). Let w(o) = 2283*o - 2288*o - p*o**3 + 3*o**3. Let a(k) = -11*k**3 - 4*k. Give -5*a(h) + 4*w(h).
7*h**3
Let l(a) = -13*a**3 - 6*a**2 + 18*a + 6. Let y(i) = 2*i**3 + i**2 - 3*i - 1. Let w(r) = -l(r) - 6*y(r). Let f(c) = -7*c**3 + 2*c + 2. What is f(n) - 2*w(n)?
-9*n**3 + 2*n + 2
Let r(i) = i**3 + 51*i**2 - 221*i - 50. Let b be r(-55). Let w(h) = 5*h**3 + 3*h**2 - 3. Let x(j) = -9*j**3 - 5*j**2 + j + 5. Determine b*w(f) + 3*x(f).
-2*f**3 + 3*f
Let v(s) = s**3 - 1. Let a be 37278/436 - -9*((-14)/12 - -1). Let i(x) = 44*x**3 - 28. Give a*v(c) - 3*i(c).
-48*c**3
Let m(h) = -h**2 + h - 5. Let u(a) = -1 + 1 - 2. Let s(p) = -1. Let q(t) = -5*s(t) + 2*u(t). Suppose 803045*i - 803041*i + 24 = 0. Determine i*q(c) - m(c).
c**2 - c - 1
Let m(v) = -2*v. Let k(d) = -2*d. Suppose 0 = -18*i + 9*i + 27. Give i*k(s) - 2*m(s).
-2*s
Let o(m) = -16*m**2 - 5*m - 58. Let y(i) = -3*i**2 - i - 19. Determine 2*o(n) - 7*y(n).
-11*n**2 - 3*n + 17
Let g = -3 - -6. Let p(b) be the first derivative of 3*b**4/4 - 3*b**3 - 4*b**2 + 11*b + 352653. Let i(d) = -d**3 + 3*d**2 + 3*d - 4. Give g*p(m) + 8*i(m).
m**3 - 3*m**2 + 1
Let n(h) = 3*h. Let k(z) = 562*z**2 + 13*z - 2. Determine -k(w) + 4*n(w).
-562*w**2 - w + 2
Let l(j) = -j + j**2 + 15*j**2 + 50439 + 0*j**2 - 50436. Let c(p) = -47*p**2 + 2*p - 8. What is -3*c(w) - 8*l(w)?
13*w**2 + 2*w
Let c = 1557 - 1558. Let z(f) = f. Let p(n) = 7*n + 1. Determine c*p(k) - 3*z(k).
-10*k - 1
Let o(i) = -489*i**3 + 5*i**2 + 4*i - 3. Let c(s) = -484*s**3 + 4*s**2 + 3*s - 2. Calculate 3*c(w) - 2*o(w).
-474*w**3 + 2*w**2 + w
Let j(f) = -21*f. Let l(a) = -a. Let t(h) = 6*j(h) - 117*l(h). Let u be (8 - 4)*15/4. Let i(c) = -4*c. Calculate u*i(d) - 6*t(d).
-6*d
Let i = 2647 + -2644. Let o(g) be the first derivative of 14 - g**2 + 2*g + g**4 - 2/3*g**i. Let c(l) = 5*l**3 - 3*l**2 - 3*l + 3. Determine -4*c(b) + 6*o(b).
4*b**3
Let w(o) = 14*o + 14. Let q(v) = -9*v - 9. Suppose 23*m - 3 = 342. Let g be (3/2)/(m/50). What is g*w(u) + 8*q(u)?
-2*u - 2
Let q(j) = 1147*j + 67. Let x(f) = 3440*f + 177. What is 8*q(h) - 3*x(h)?
-1144*h + 5
Let m(j) = -72*j + 14. Let h(c) = 37*c - 6. What is -13*h(p) - 6*m(p)?
-49*p - 6
Let c be (-2)/9 - (4715/207 + -22). Let t(n) = -n - 1. Let b(l) = l - 27. Calculate c*b(y) + t(y).
-2*y + 26
Let h(r) = -593140*r + 564. Let j(g) = 10498*g - 10. Calculate -5*h(k) - 282*j(k).
5264*k
Let y(t) = -60*t + 3. Let u(g) = 64*g - 1. Let r(i) = 11*i. Let k(h) = 4*r(h) - u(h). Calculate 8*k(w) - 3*y(w).
20*w - 1
Let c(a) = -474*a**2 - 13*a - 274. Let m(g) = 79*g**2 + 2*g + 45. Give -2*c(i) - 13*m(i).
-79*i**2 - 37
Let x(u) = -8*u**2 - u - 6. Let c(h) = 8*h**2 + h - 5. Let j(m) = 17*m**2 + 2*m - 20. Let k(b) = 3*c(b) - j(b). Give 4*k(y) + 3*x(y).
4*y**2 + y + 2
Let i(j) = -j + 1. Let q(z) be the first derivative of 15*z**2/2 - 2*z + 336. Determine -2*i(g) - q(g).
-13*g
Let z(u) = 3*u + 5. Let p = 95 - 92. Let a(v) = -5 + p*v + 6 + 5. Give -4*a(y) + 5*z(y).
3*y + 1
Let f(s) = 2646*s**3 - 168*s**2 + 168. Suppose 15*n + 4307 = 1787. Let b(i) = 79*i**3 - 5*i**2 + 5. What is n*b(p) + 5*f(p)?
-42*p**3
Let v(r) = 14*r**3 - 17*r**2 - 16. Let a(q) = 5*q**3 + 2 - 7 - 20*q**2 + 6*q**2 + 8*q**2 + 0. Calculate 17*a(l) - 6*v(l).
l**3 + 11
Let a(q) be the second derivative of q**2/2 - 104*q - 3. Let p(b) = -b. What is -2*a(w) + 6*p(w)?
-6*w - 2
Let n(j) = 2*j**2 + j + 4. Let p(i) = 6*i**2 + 4*i + 1. Determine 5*n(r) - p(r).
4*r**2 + r + 19
Let z(t) = -1969461*t**3 - 1521*t**2 - 1521*t - 16731. Let r(j) = 12957*j**3 + 10*j**2 + 10*j + 110. Calculate 1521*r(v) + 10*z(v).
12987*v**3
Let w(t) = -t. Let u(n) = n**3 + n**2 + 7*n + 3. Let m(j) = -2*j**3 - 6*j - 2. Let h(l) = -3*m(l) - 2*u(l). Give -h(b) - 2*w(b).
-4*b**3 + 2*b**2 - 2*b
Let q(z) = 13*z**3 + 13*z**2 + 22*z - 19. Let u(m) = 7*m**3 + 7*m**2 + 12*m - 9. Determine 6*q(x) - 11*u(x).
x**3 + x**2 - 15
Let s(l) = -l**3 - 2*l - 2. Let f be s(0). Let c(m) = 6*m**3 - 2*m**2 - 2*m + 2. Let w(b) = 18*b**3 - 193 + 7*b**3 + 202 - 9*b - 9*b**2. Give f*w(x) + 9*c(x).
4*x**3
Let z(c) = 22*c + 7. Let v(k) = -2*k**3 + 19*k + 6. Give -6*v(q) + 5*z(q).
12*q**3 - 4*q - 1
Let a(d) = 1078 + 3*d**2 - 2*d**2 - 1078 + 2*d - 2*d**2. Let u(o) = 3*o. Suppose 0 = -5*w + 4*g + 10, 2*w - 3*g + 3 = -0. Determine w*a(s) - 4*u(s).
-6*s**2
Let c(d) = 201*d**3 - 23*d**2 + 477*d - 22. Let u(s) = 18*s**3 - 2*s**2 + 43*s - 2. Calculate 2*c(w) - 23*u(w).
-12*w**3 - 35*w + 2
Let i(o) = 24*o**3 - 1185*o**2 - 23*o - 2. Let d(w) = -11*w**3 + 593*w**2 + 10*w + 1. Give 9*d(j) + 4*i(j).
-3*j**3 + 597*j**2 - 2*j + 1
Let g = -4 + 6. Let x(j) = j + 1. Let z(w) = -3*w. Let a(q) = -2*x(q) + z(q). Let v(o) = 51*o + 6 - 7 + 40 - 18. Calculate g*v(s) + 21*a(s).
-3*s
Let y(v) = v**2 + 5. Let r(i) = 450*i**2 - 120. What is -3*r(f) - 72*y(f)?
-1422*f**2
Let q(o) = -3*o**2 - 10 + 16 - 3 - 3 - 5. Le