h**2 - 1
Let p(o) = 1. Let l(n) = 4*n**2 + 13. Suppose -5*u + 40 = -5*q, q + 2*u = -4 + 8. Determine q*p(m) + l(m).
4*m**2 + 9
Let j(a) = 26*a**2 - 605*a - 63. Let g(n) = -5*n**2 + 121*n + 12. Calculate 11*g(k) + 2*j(k).
-3*k**2 + 121*k + 6
Let y(p) = 21*p**3 - 4*p**2 + 4. Let i(b) = 43*b**3 - 9*b**2 + 9. Suppose -44 = 4*s - 4*t, 368*s - 34 = 367*s - 4*t. What is s*i(v) + 5*y(v)?
19*v**3 - 2*v**2 + 2
Let w(s) = 3247*s**3 - 8*s**2 + 2. Let d(q) = 3244*q**3 - 12*q**2 + 3. Give -2*d(y) + 3*w(y).
3253*y**3
Let j(u) = -14*u + 2509. Let c(z) = 31*z - 5025. Calculate 5*c(y) + 11*j(y).
y + 2474
Let x be 5/((-20)/(-32)) - 6. Let n(s) = -7*s**2 + 2. Let f(q) = -14*q**2 + q + 5. Give x*f(c) - 5*n(c).
7*c**2 + 2*c
Let x(d) be the first derivative of -23*d**2 + 747. Let z(g) = 413*g. What is 28*x(q) + 3*z(q)?
-49*q
Let k(c) = 2*c**3 + 6*c**2 + 12*c + 223. Let n(t) = 3*t**3 + 10*t**2 + 20*t + 444. Calculate -5*k(w) + 3*n(w).
-w**3 + 217
Let y(t) = 9*t**2 + t + 2. Suppose -57*m = 121 + 72 + 149. Let r(b) = -4*b**2 - 1. Calculate m*y(k) - 14*r(k).
2*k**2 - 6*k + 2
Let m(g) = -g + 1. Suppose 2 = -2*y + 3*y, -4*k - 118 = -3*y. Let r be k/6 + (-6)/(-9). Let o(h) = 11*h - 4. Determine r*m(t) - o(t).
-7*t
Let a(d) = 525*d - 131. Let h(q) = -788*q + 183. What is 7*a(x) + 5*h(x)?
-265*x - 2
Let g(f) = f**3 - f**2 - 102*f + 4. Let n(r) = r**3 - 3*r**2 - 204*r + 9. Calculate -5*g(s) + 2*n(s).
-3*s**3 - s**2 + 102*s - 2
Let a(d) = -6*d**2 - 39*d + 41. Let g(z) = -6*z**2 - 38*z + 35. Give -6*a(i) + 7*g(i).
-6*i**2 - 32*i - 1
Let i(w) = 124*w + 373. Let k be i(-3). Let c(d) = -d. Let b(p) = -6*p + 10. Calculate k*b(f) - 8*c(f).
2*f + 10
Let d(l) = 120*l**3 - 5*l**2 - 19*l + 14. Let t(b) = 121*b**3 - 4*b**2 - 15*b + 12. Determine 4*d(s) - 5*t(s).
-125*s**3 - s - 4
Let w(m) = m**2 + m + 1. Let t(a) be the second derivative of 5*a**4/6 + a**3/3 + a**2 + 81*a - 6. Determine t(b) - 2*w(b).
8*b**2
Let o(c) = -61*c + 212*c - 31 - 155*c - 20. Let j(n) = n + 17. Calculate 7*j(f) + 2*o(f).
-f + 17
Let h(g) = 32*g - 12193. Let f(i) = 9*i - 3048. Calculate 11*f(j) - 3*h(j).
3*j + 3051
Let k(p) = -30*p**2 - p - 2. Let g(y) = -150*y**2 - 3*y - 12. Calculate -2*g(a) + 11*k(a).
-30*a**2 - 5*a + 2
Let j(m) = 120*m**3 + 12*m**2 + 9*m + 22. Let b(l) = -121*l**3 - 14*l**2 - 10*l - 27. Give -5*b(c) - 6*j(c).
-115*c**3 - 2*c**2 - 4*c + 3
Let y(b) = -3*b + 2. Let k(i) = -i - 61. Let d(t) = -12. Let a(u) = -5*d(u) + k(u). Give -a(o) + y(o).
-2*o + 3
Let q(k) = -2*k**3 - k**2 - k - 1. Let f(c) = -3*c**3 - 22*c**2 + 4*c + 3. Determine f(h) + 4*q(h).
-11*h**3 - 26*h**2 - 1
Let i(y) = 5*y**2 + 6*y - 6. Let k(h) be the first derivative of -h**3/3 - h**2/2 + h + 3796. What is -i(c) - 4*k(c)?
-c**2 - 2*c + 2
Let c(s) = -13*s - 65. Suppose 61*z + 2 = 59*z + 2*p, -5*z + 10 = -2*p. Let h(q) = 6*q + 33. Give z*c(w) + 9*h(w).
2*w + 37
Let t(h) = 6*h - 13. Let g(i) = -5*i + 2. Let q(c) = -49*c + 18. Let m(y) = -10*g(y) + q(y). Give -39*m(l) + 6*t(l).
-3*l
Let i(j) = 133*j**2 - 11*j + 17. Let b(f) = 125*f**2 - 10*f + 11. What is -3*b(d) + 2*i(d)?
-109*d**2 + 8*d + 1
Suppose -8190 = 27*i + 3555. Let m = i - -438. Let f(u) = -2*u**3 - 6*u**2 - 4*u + 6. Let b(r) = -2*r**3 - 5*r**2 - 3*r + 5. Calculate m*f(x) - 4*b(x).
2*x**3 + 2*x**2 - 2
Let m(s) = -6*s**2 + s + 1. Let y(z) = -z + z**2 + 228 + 320 - 547. What is -m(w) - 3*y(w)?
3*w**2 + 2*w - 4
Let f(q) = -1716*q**3 + 5*q - 6. Let z(s) = -1718*s**3 + 4*s - 5. Give -4*f(y) + 5*z(y).
-1726*y**3 - 1
Let b(j) = 4*j - 16. Let u(k) be the third derivative of k**4/12 - 4*k**3/3 - 1555*k**2. What is 6*b(o) - 11*u(o)?
2*o - 8
Let m(f) = -6*f**3 - 4*f - 4. Let g(j) = 7*j**3 + 5*j + 5. Suppose -3*k + 57 = -b + 16, -2*b - 4*k = 42. Let y = 24 + b. Calculate y*m(n) - 4*g(n).
2*n**3
Let x(q) = -6*q**3 + 142*q**2 + 2*q - 7. Let i(d) = 7*d**3 - 142*d**2 - 3*d + 10. Calculate -2*i(m) - 3*x(m).
4*m**3 - 142*m**2 + 1
Let m(j) = -1369*j**3 + 4*j**2 - 5*j - 8. Let g(h) = 2736*h**3 - 7*h**2 + 9*h + 14. What is -4*g(u) - 7*m(u)?
-1361*u**3 - u
Let g(q) = q**3 - q**2 - q. Let i(c) = -2*c**3 - 1040*c**2 + c - 2. Calculate g(v) + i(v).
-v**3 - 1041*v**2 - 2
Let m(b) = -2*b + 1. Let d(v) = 1. Suppose -199 = 2*p - 3*p. Let w = p + -201. Calculate w*d(n) + m(n).
-2*n - 1
Let l(r) = 2*r**2 - 2*r - 5. Let w(h) = -1. Suppose -8 = 7*c + 27. Suppose -p = -0*p - 4. Let x(k) = -1. Let n(s) = c*w(s) + p*x(s). Calculate l(i) + 3*n(i).
2*i**2 - 2*i - 2
Let k(v) = v**2 - 216*v + 129*v + 9 + 87*v. Let p(m) = -2*m**2 - 9. What is -2*k(s) - 3*p(s)?
4*s**2 + 9
Let d(u) = -7*u - 21. Let m(b) = 42 + 374*b - 12 - 371*b - 20. Give -2*d(l) - 5*m(l).
-l - 8
Let i be 2*(-40)/32 + 5/10. Let x(h) = 3*h**2 - 5*h. Let j(w) = -3*w**2 + 6*w - 1. What is i*j(t) - 3*x(t)?
-3*t**2 + 3*t + 2
Suppose -4*i = -3*c, -2*c - 10 = i + 12. Let a(l) = -l**3 - l**2 - 13*l + 3. Let b(d) = 3*d**3 + 3*d**2 + 38*d - 8. Calculate c*a(o) - 3*b(o).
-o**3 - o**2 - 10*o
Let q(v) be the first derivative of -v**2/2 + v + 9672. Let n(f) = -10*f + 8. Determine -n(a) + 8*q(a).
2*a
Let g(o) = -12*o**3 - 4 - 15*o**3 + 34*o**3 - 4*o - 8*o**3 + 2*o**2. Let k(w) = -w**3 + w**2 - 3*w - 3. Determine 3*g(r) - 4*k(r).
r**3 + 2*r**2
Let z(p) = -p - 232. Let w(t) = t + 240. Calculate 5*w(c) + 4*z(c).
c + 272
Let g(r) = 11*r**2 + 8*r + 2. Suppose -31 = -6*q - 150 + 71. Let a(t) = -2*t + 7*t + 1 + 0*t + 7*t**2. What is q*a(i) + 5*g(i)?
-i**2 + 2
Let l(y) = 29*y**2 - 4*y. Let d(r) = 4*r**2. Calculate 6*d(w) + l(w).
53*w**2 - 4*w
Let p(j) = -4*j**3 + 16*j**2 + 6*j + 37. Let d(h) = 15*h**3 - 63*h**2 - 23*h - 149. Determine -6*d(s) - 23*p(s).
2*s**3 + 10*s**2 + 43
Let v(y) = -2. Let p(c) = -c - 1405. What is -p(t) + 6*v(t)?
t + 1393
Let b(r) be the first derivative of -4*r**3/3 - 3*r**2 - 4*r - 5376. Let f(t) = -5*t**2 - 5*t - 4. Calculate 5*b(j) - 6*f(j).
10*j**2 + 4
Let c(x) = -4*x**3 + 197*x**2 + 53*x + 3. Let v(n) = -6*n**3 + 295*n**2 + 85*n + 5. What is 8*c(g) - 5*v(g)?
-2*g**3 + 101*g**2 - g - 1
Let w(k) = 3 + 0*k**2 + 2*k**2 + 4 - 6*k. Let r(o) = 2*o**2 - 5*o + 6. Let n(b) = b**2 + 1668*b - 5007. Let q be n(3). Calculate q*r(j) - 5*w(j).
2*j**2 + 1
Let n = -34 - 2. Let d = n + 39. Let b(f) = 3 - f**3 - 17*f + 4*f + 19*f - 3*f**2. Let x(k) = 2*k**2 - 5*k - 2. What is d*x(c) + 2*b(c)?
-2*c**3 - 3*c
Let n(s) = -s - 1. Let j(x) be the third derivative of -x**5/60 + x**4/24 + x**3/3 + 2356*x**2. Calculate 2*j(t) + 3*n(t).
-2*t**2 - t + 1
Let n(w) = 717. Let y(r) = -287. Let a(t) = -2*n(t) - 5*y(t). Let h(b) = 8*b - 20. What is 20*a(c) + h(c)?
8*c
Let y(n) = 10*n**2 + 1136*n - 16. Let u(g) = -3*g**2 - g + 5. Determine -3*u(v) - y(v).
-v**2 - 1133*v + 1
Let p be (276/1840)/((-1)/(-20)). Let q(m) = -4*m**3 + 2*m**2 + 3*m - 2. Let b(o) = 5*o**3 - o**2 - 3*o + 3. Determine p*q(h) + 2*b(h).
-2*h**3 + 4*h**2 + 3*h
Let y be (-188)/235*(-5)/2. Suppose x - 2*z + 3 = 0, -50*x - 2 = -48*x - y*z. Let t(g) = -g**2 + 1. Let k(h) = 7*h**2 - h - 4. Give x*k(w) + 4*t(w).
3*w**2 - w
Let k(p) = -6*p - 8. Let b(t) = 13*t + 14. Let q be b(3). Let h = q - 49. Let s(l) = -5 + 4 + h + 2*l. Calculate -3*k(d) - 8*s(d).
2*d
Let j(h) = 501466*h - 23324. Let w(m) = -22*m + 1. Give -j(t) - 23324*w(t).
11662*t
Let c(m) = -2135*m**3 + 6*m**2 - 4*m + 2. Let h(t) = -3189690*t**3 + 8967*t**2 - 5978*t + 2989. Give 5978*c(n) - 4*h(n).
-4270*n**3
Let a(f) = -2*f + 2. Let t(m) = -6*m + 6. Let z be (-195)/(-13)*4/20. Give z*t(i) - 8*a(i).
-2*i + 2
Let w(k) = -2*k - 7. Let j(r) = 18*r - 145. What is -j(f) - w(f)?
-16*f + 152
Let k(i) = 2*i**2 - i - 1. Suppose -41 = -9*n - 50. Let o(q) = 17 - 1 - q - 17. What is n*o(g) + k(g)?
2*g**2
Let x(v) be the second derivative of v**3/3 - 3*v**2 + 2*v. Let t(p) = -16*p - 12*p + 12 + 24*p - 1. Let m = -346 - -357. Give m*x(i) + 6*t(i).
-2*i
Let t(w) = 5*w**2 + 4*w - 5. Let y(m) = -14*m**2 - 13*m + 14. Suppose -2*j - 11 = -q, 8*q - 3*j = 3*q + 76. Calculate q*t(c) + 6*y(c).
c**2 - 10*c - 1
Let u(n) = 183*n**3 - 7*n**2 - 12*n. Let r(f) = 548*f**3 - 23*f**2 - 42*f. Give 2*r(x) - 7*u(x).
-185*x**3 + 3*x**2
Let a(o) = 17*o**3 + 4*o**2 - 12*o - 4. Let p(u) = 33*u**3 + 9*u**2 - 27*u - 8. What is 9*a(y) - 4*p(y)?
21*y**3 - 4
Let d(f) = -7*f**2 - f + 2. Let i(u) = 111*u**2 + 21*u - 21. Let o(r) = 15*d(r) + i(r). Let w(s) = -s - 1. Calculate o(z) + 5*w(z).
6*z**2 + z