11*a**3 + 30*a**2 - 18*a + 21. What is -10*g(p) - 4*h(p)?
6*p**3 + 20*p**2 + 2*p + 6
Let n(p) = -108*p - 21. Let z(m) = 115*m + 14. Calculate 4*n(o) + 3*z(o).
-87*o - 42
Suppose -4*p + g - 20 = 0, 4*g + 40 = 2*p - 6*p. Let b(x) = -2*x**2 + 3. Let s(n) = 3*n**2 - 5. What is p*s(u) - 10*b(u)?
2*u**2
Let p(j) = -39*j. Let u(b) = -12*b + 22*b - 12*b - 11*b. Give 4*p(v) - 11*u(v).
-13*v
Let r(w) = -w**3 + w**2 + w + 1. Let y(v) = 7*v**3 - 4*v**2 - 2*v - 4. Let c be ((-93)/(-62))/((-27)/72). Determine c*r(u) - y(u).
-3*u**3 - 2*u
Let y(g) = 9*g**3 - 29*g**2 - 32*g + 199. Let d(f) = -3*f**3 + 11*f**2 + 11*f - 65. Give -8*d(l) - 3*y(l).
-3*l**3 - l**2 + 8*l - 77
Let y(z) = -z**2 - 4*z + 2. Let r(j) = -10*j**2 - 21*j + 11. Calculate -3*r(w) + 15*y(w).
15*w**2 + 3*w - 3
Let d be 1 + -4 + (63/6)/((-22)/(-88)). Let y(b) be the first derivative of 1/2*b**2 - d + 0*b. Let x(n) = n. What is -x(u) + 2*y(u)?
u
Let j(z) = 17101*z**2 + 70. Let w(i) = 1006*i**2 + 4. What is 2*j(h) - 35*w(h)?
-1008*h**2
Let m(d) = -3*d + 5*d + 10 - 8. Suppose 0 = 5*j + k - 6, 2*j + 2*k + 1 = -3. Let y(u) = -364*u + 365*u + 3 - j. Determine m(t) - 4*y(t).
-2*t - 2
Let w(t) = 31*t + 624. Let d(a) = -21*a - 623. Determine -3*d(n) - 2*w(n).
n + 621
Suppose -s + 17 = -5*q + 58, -4*q - 2*s = -30. Let y(b) = -13*b**2. Let m(t) = -4*t - 107. Let k be m(-28). Let f(j) = 20*j**2 + j - j. Give k*f(d) + q*y(d).
-4*d**2
Let x(m) = 15*m + 2. Let k(n) be the second derivative of 7*n**3/3 + n**2/2 + 3*n + 324. What is 7*k(j) - 6*x(j)?
8*j - 5
Let s(l) = -11*l + 1. Let o(c) = -11*c + 1. Suppose 3*q - 5 = -3*y - 8, -5*y - 3*q + 3 = 0. Calculate y*o(t) - 2*s(t).
-11*t + 1
Let l(z) = -626*z - 60. Let d(r) = -628*r - 92. What is -2*d(g) + 3*l(g)?
-622*g + 4
Let x(f) = 8975218*f**3 - 109625*f**2. Let k(q) = -6139*q**3 + 75*q**2. Determine 4385*k(t) + 3*x(t).
6139*t**3
Let z(v) = v - 1. Suppose -4*k + 80 = 4*m, -m + 37 = -5*k + 7*k. Suppose -r + 1 = 0, 3*r - k = -2*f + 3*f. Let d(o) = -9*o + 8. Determine f*z(b) - 2*d(b).
4*b - 2
Let k(b) = -29*b**3 - 6. Let c(m) = -87*m**3 - 17. Let q(v) = -v**3 + 66*v**2 + 54*v + 888. Let r be q(67). Give r*k(p) - 6*c(p).
29*p**3
Let l(w) = -773*w**2 - 4*w**3 + 6*w + 773*w**2. Suppose 2*r - 6*r = -12. Let i(j) = -14*j + 3*j - 69*j**r + 76*j**3. Calculate 6*i(n) + 11*l(n).
-2*n**3
Let p(t) be the third derivative of 1/6*t**4 + 0*t + 0 + 1/3*t**3 - 2*t**2. Suppose -2048*z = -1840*z + 832. Let l(a) = a + 1. What is z*l(h) + 2*p(h)?
4*h
Let q(u) = 21*u**2 - u + 4. Let p(g) = g**2 + 1. Let r = 2509 + -2505. Determine r*p(j) - q(j).
-17*j**2 + j
Let v = -305 - -310. Let g(j) = j**3 - 6*j + 6. Let f(b) = 5*b - 5. Calculate v*g(r) + 6*f(r).
5*r**3
Let s(m) = 2*m**2 + 5. Let j = -1 + 8. Let y(z) = -2*z - 3*z**2 - z + 5*z - 2*z - 7. Let p = -482 + 487. What is j*s(k) + p*y(k)?
-k**2
Let z(l) = -8329*l**2 - l - 1 + l + 2*l + 8323*l**2 - l. Let j(p) = -p**3 + 5*p**2 - p + 1. Calculate 5*j(r) + 4*z(r).
-5*r**3 + r**2 - r + 1
Suppose -1514 = 187*w - 205. Let t be 2/((-2)/(-2)) - 7. Let r(g) = -6*g**3 + 7. Let d(a) = 4*a**3 - 5. Calculate t*r(q) + w*d(q).
2*q**3
Suppose -5*j + 5*m = 50, -10*m = -6*m - 4. Let w(l) = -3*l**2 + 2 + 7*l**2 - 14 + 9*l. Let x(i) = i**2 + 2*i - 3. Give j*x(h) + 2*w(h).
-h**2 + 3
Let x(v) = -9494*v**2 - 470*v + 940. Let d(q) = -11*q**2 - q + 2. Give 940*d(j) - 2*x(j).
8648*j**2
Let c(q) = -q**2 + 1. Suppose 12*t + 2662 - 2590 = 0. Suppose -5 = -8*g + 3*g. Let y(b) = -5 + 2*b + 7*b**2 - 4 + g. Determine t*c(o) - y(o).
-o**2 - 2*o + 2
Let y(g) be the second derivative of 21*g**5/20 + 3*g**4/4 + 7*g**3/6 - 5*g**2/2 + 3015*g. Let n(i) = 10*i**3 + 5*i**2 + 4*i - 3. Give 7*n(f) - 4*y(f).
-14*f**3 - f**2 - 1
Let h(r) = 6*r. Let t(f) = 62*f - 33. Determine -3*h(y) + t(y).
44*y - 33
Suppose x - a + 12 = 4*a, 4*x + 2*a + 4 = 0. Let c(s) = -30*s**2 - 25*s. Let p(z) = z**2 + z. Give x*c(f) - 50*p(f).
10*f**2
Let s(b) = -b - 7. Let m be 1/(-2)*(13 + -26 + 7). Let c(a) = 4. Let q(d) = 4*d**3 + 2*d - 1. Let o be q(1). Determine m*s(w) + o*c(w).
-3*w - 1
Let h(y) = -2*y**3 + 3*y**2 - 6*y + 6. Let l(g) = -6*g**3 + 8*g**2 - 18*g + 22. Give 7*h(p) - 2*l(p).
-2*p**3 + 5*p**2 - 6*p - 2
Let b(c) = 13*c**2 - 8270*c - 6 - 8274*c + 16538*c - 45*c**2. Let n(u) = 703*u**2 + 133*u + 133. Calculate -133*b(k) - 6*n(k).
38*k**2
Let j(u) = 121*u - 116. Let r(v) = 122*v - 97. Calculate 5*j(t) - 6*r(t).
-127*t + 2
Let i(q) = 17*q**3 + 55*q**2 + 6*q - 133. Let h(g) = -12*g**3 - 39*g**2 - 4*g + 88. What is 7*h(t) + 5*i(t)?
t**3 + 2*t**2 + 2*t - 49
Let h be 68/(-119) + (-46)/(-42)*6. Let x(i) = -7*i**3 - 3*i**2 - i - 5. Let d(s) = -8*s**3 - 4*s**2 - s - 6. What is h*x(g) - 5*d(g)?
-2*g**3 + 2*g**2 - g
Let s(d) = -5*d**3 - 5*d**2 + 235*d - 4. Let n(m) = 4*m**3 + 4*m**2 - 235*m + 4. What is 7*n(y) + 6*s(y)?
-2*y**3 - 2*y**2 - 235*y + 4
Let y be (-2)/(-3)*-1*138/(-92). Let t(q) = 422*q + q**2 - 422*q + y. Let u(k) = 2*k**2 + 2*k - 3. Give -t(o) - u(o).
-3*o**2 - 2*o + 2
Let u(r) = -2*r - 17. Let a(x) = -43 - 6*x + 6 - 18 + 5. Give 5*a(c) - 14*u(c).
-2*c - 12
Let h(o) = 50*o**2 + 4*o - 4. Let m(a) = 162*a**2 + 12*a - 13. Let w(i) = -13*h(i) + 4*m(i). Let d(g) = -2*g**2 - 4*g. Let q = 5 - 10. Give q*d(x) + 4*w(x).
2*x**2 + 4*x
Let y(k) = 6*k**3 - 6. Let n(v) be the third derivative of -v**6/40 + v**3/2 - 548*v**2. Determine -7*n(w) - 4*y(w).
-3*w**3 + 3
Suppose -l - 4*n - 2 = 0, -6*n + 2*n - 14 = -l. Let t be (9 + -1 - l)/(-2). Let m(b) = 5*b**2 - 6*b + 4. Let y(j) = -j**2 + j - 1. Calculate t*m(s) - 6*y(s).
s**2 + 2
Let p(v) = -7*v**2 + 3*v - 2. Let i(a) = 13*a**2 - 5*a + 3. Let k(o) = -o - 152. Let y be k(-35). Let g = y - -111. Give g*i(t) - 10*p(t).
-8*t**2 + 2
Let w(q) = 11*q**3 + 9*q**2. Let h(n) = -1221*n + 26860. Let s be h(22). Let g = 6 - -3. Let m(k) = 3*k**3 + 2*k**2. Give g*m(i) + s*w(i).
5*i**3
Let u(v) = -v**2 - 12*v - 1. Let c be u(-12). Let n(f) = -f**3 + f - 1. Let w(i) = -3*i**3 + 2*i**2 - 5*i + 5. Give c*w(q) - 5*n(q).
8*q**3 - 2*q**2
Let o(a) = 2348*a**3 + 20*a**2 - 6. Let q(c) = -4695*c**3 - 43*c**2 + 13. Calculate -13*o(u) - 6*q(u).
-2354*u**3 - 2*u**2
Suppose 3*w + 16 = 5*p, -4 = 2*p - w - 11. Let s(i) = 2*i**3 + 4*i**2 + 5*i - 7. Let m(f) = 9 - 8*f + 4*f - 3 - f**3 - 3*f**2. Calculate p*m(r) + 4*s(r).
3*r**3 + r**2 + 2
Let g(b) = b**2 + 0*b**2 + 4 - 1 - 3*b. Let w be (4/(-14))/(5/(-35)). Let l(s) = 2*s - 11*s**2 + 38*s**2 - 15*s**w - 13*s**2 - 2. What is -2*g(n) - 3*l(n)?
n**2
Let i(r) = 3*r - 2. Let c be ((-1)/3)/(92/828). Let y(n) be the second derivative of -1/3*n**3 + n + 1/2*n**2 + 0. Calculate c*i(g) - 4*y(g).
-g + 2
Let p(f) = 2*f**3 + f - 7. Suppose -112004 = -3*m - 112007. Let t(z) = -1. Determine m*p(v) + 5*t(v).
-2*v**3 - v + 2
Let t(n) = -1605*n**2 - 280*n + 3. Let l(g) = -3210*g**2 - 630*g + 6. Give 4*l(v) - 9*t(v).
1605*v**2 - 3
Let d(o) = -o + 11 - 5 - 5. Let b = -2546 - -2558. Let z(r) = 35*r - 24. Let u(n) = -17*n + 12. Let t(h) = -5*u(h) - 2*z(h). Give b*d(s) + t(s).
3*s
Let n(b) = -2*b**3 + 2*b + 1. Let p(v) = -111*v**3 - 2*v**2 + 8*v + 4. Determine -4*n(h) + p(h).
-103*h**3 - 2*h**2
Let f(b) = -b**3 - b**2 + b. Let u(w) be the second derivative of -w**5/10 + w**4/4 - 5*w**3/3 - 5870*w. What is 3*f(d) + u(d)?
-5*d**3 - 7*d
Let i(p) be the first derivative of -85*p**4/4 - 10*p + 5140. Let b(a) = -28*a**3 - 3. Determine 10*b(c) - 3*i(c).
-25*c**3
Let v(d) = -4*d**2 - 5*d - 5. Let g(l) = l + 1. Let y(t) = t**2 - 3*t - 3. Let b(a) = 4*g(a) + y(a). Give -30*b(x) - 6*v(x).
-6*x**2
Let n(l) = 6*l + 1. Let h(m) = -5*m - 1. Let t(g) = -7*h(g) - 6*n(g). Let a(p) = 1. Suppose 0 = -3*o + 11*z - 6*z + 1, -3*o = -z - 5. What is o*a(q) + 2*t(q)?
-2*q + 4
Let x(h) = -2*h. Let m(b) = 15*b - 19*b - b - 9*b. What is 2*m(y) - 42*x(y)?
56*y
Let d(j) = 2*j**3 + 3*j**2 + 116*j - 118. Let m be d(1). Let r(x) = -x**3 - 21*x - 2. Let p(h) = -1. What is m*p(c) - r(c)?
c**3 + 21*c - 1
Let m(b) = -4*b**2 - 6*b - 2. Let p be ((-2)/(-2))/((-509)/(-3563)). Let n(w) = 13*w**2 + 18*w + 7. Calculate p*m(l) + 2*n(l).
-2*l**2 - 6*l
Let b(i) = 14*i**2 - 15*i - 4253. Let s(u) = 18*u**2 - 20*u - 4255. Determine 4*b(y) - 3*s(y).
2*y**2 - 4247
Let v(y) = 1266*y**2 - 61*y - 4. Let d(k) = -1270*k**2 + 71*k + 5. Determine -6*d(t) - 7*v(t).
-1242*t**2 + t - 2
Let l(f) = -2*f**2 + 67*f - 11. Let h