u*h(w)?
-2*w**3 - 2
Suppose 29*f - 94*f - 715 = 0. Let r(g) = g**2 - 15*g - 11. Let u(t) = t**2 - 8*t - 6. What is f*u(v) + 6*r(v)?
-5*v**2 - 2*v
Let f(n) be the second derivative of -9*n - 1/2*n**2 + 0. Suppose 5*g = 5*q - 10, -4*g - 4*q + 5*q = -4. Let l(i) = -i**2 - 2*i + 2. What is g*f(a) + l(a)?
-a**2 - 2*a
Let b(j) = -j + 1. Let g(s) be the second derivative of -7*s**3/3 - 5*s**2/2 + 651*s. Give -5*b(p) - g(p).
19*p
Let m(h) = -132*h. Let q(d) = -d. Determine -m(i) + 220*q(i).
-88*i
Let d(s) = 13*s - 19. Let n(q) = -7*q + 10. Let k(i) = -3*d(i) - 5*n(i). Let r(a) = 12*a - 22. What is 16*k(p) + 5*r(p)?
-4*p + 2
Let i(z) = -12*z**3 + 6*z**2 + z. Let f(g) = -12*g**3 + 6*g**2 + 2*g - 1. Give 2*f(q) - 3*i(q).
12*q**3 - 6*q**2 + q - 2
Let b(n) = -2*n + 1. Let v(k) be the third derivative of k**5/60 + k**4/24 + k**3/6 + 510*k**2. Give 2*b(o) - 2*v(o).
-2*o**2 - 6*o
Let r(f) = 98*f**2 + 11*f + 74. Let s(z) = 33*z**2 + 4*z + 26. Calculate -6*r(c) + 17*s(c).
-27*c**2 + 2*c - 2
Let z(r) = -8*r**2 - 3. Let h(o) = 23*o**2 + 9. Let k(v) = 43*v + 123. Let x be k(-3). What is x*h(y) - 17*z(y)?
-2*y**2 - 3
Suppose 7*t + 28 = -7. Let g(a) be the first derivative of a - 18. Let h(j) = j + 1. Give t*g(r) + h(r).
r - 4
Let v(t) = 12. Let j(h) = h - 2. Give 6*j(a) + 2*v(a).
6*a + 12
Let z(a) = -9*a**2 - 4. Let w(v) = -20*v**2 - 9. Give 4*w(y) - 9*z(y).
y**2
Let b(t) = 16*t - 6. Let y(z) = -3*z + 1. Let h(x) = -2*b(x) - 11*y(x). Let k(c) = c + 1. Calculate 2*h(l) - 3*k(l).
-l - 1
Let f(u) = u - 4. Let s(r) = 2*r - 17. Let g(x) = x. Let y(d) = -2*g(d) - s(d). Let p = 4 + -2. Suppose 0 = 3*h + 1 - 28. Give h*f(i) + p*y(i).
i - 2
Let c(j) = -86*j**3 + 3*j**2 - 6*j + 7. Let g(q) = -256*q**3 + 9*q**2 - 17*q + 20. Give 17*c(l) - 6*g(l).
74*l**3 - 3*l**2 - 1
Let f(q) = -4*q - 7. Let o be (12 + -2)/((-2)/(-23)*1). Suppose 14*n = 11 + o. Let c(l) = -2*l - 3. Determine n*c(j) - 4*f(j).
-2*j + 1
Let u(t) = -5*t**2 + 4. Let k(j) = j**2 - 1. Let i(g) = -2*g + 26. Let r be i(-20). Let a = 67 - r. What is a*u(c) + 6*k(c)?
c**2 - 2
Let n(g) = -2*g - 6. Let j(p) be the second derivative of p**3/3 + 7*p**2/2 - 8*p - 2. Determine 3*j(h) + 4*n(h).
-2*h - 3
Let q(l) = -4*l**3 - 6*l - 6. Let r(g) be the third derivative of 0*g**5 + 0 - 13/24*g**4 - 1/15*g**6 - 13/6*g**3 + 0*g + 13*g**2. Determine 13*q(m) - 6*r(m).
-4*m**3
Let l(h) = 7*h**3 - 19*h**2 - 5*h - 5. Let u(w) = -9*w**2 + 78 + 3*w**3 - 8*w + 6*w - 80. What is 2*l(q) - 5*u(q)?
-q**3 + 7*q**2
Let b(g) = -4*g - 5 - 3*g - 3*g + 11*g. Let l(m) = -4*m + 16. Let r = -18 + 13. Give r*l(k) - 16*b(k).
4*k
Let g(m) = 11*m**3 - 2*m**2 - 20*m - 4. Let v(f) = 2*f**3 - 1. Calculate g(o) - 6*v(o).
-o**3 - 2*o**2 - 20*o + 2
Let y(a) = 3*a**2 - 7*a - 17. Let d(n) = -n**2 + 3*n + 8. Let o be 3/(-6) + (-44)/(-8) + 2. What is o*d(u) + 3*y(u)?
2*u**2 + 5
Let k(m) = m - 13. Let v(y) = -88*y + 75. Calculate 6*k(a) + v(a).
-82*a - 3
Let p(f) = -4*f**3 + 11*f**2 - 13*f - 5. Let r(w) = -6*w**3 + 17*w**2 - 20*w - 8. What is 8*p(s) - 5*r(s)?
-2*s**3 + 3*s**2 - 4*s
Suppose 0 = 5*z + 2*n + 657, z - 4*n = -5*n - 129. Let a be z/76*(-4 + 0). Let b(g) = 5*g - 1. Let l(m) = -11*m + 3. Determine a*b(x) + 3*l(x).
2*x + 2
Let c(t) be the second derivative of t**3/3 + t**2/2 + 12*t - 3. Let p(g) = -g - 1. Give -2*c(r) - 3*p(r).
-r + 1
Let g(y) be the third derivative of -y**3/6 - 2*y**2. Let c = 10 + -6. Let z = -6 + c. Let o(h) = h + 7. Calculate z*o(t) - 14*g(t).
-2*t
Let d(i) = -583*i**2 + 195*i**2 + 196*i**2 + 201*i**2. Let s(a) = 9*a**2. Calculate 4*d(g) - 3*s(g).
9*g**2
Let r(j) be the third derivative of -j**6/120 + j**5/12 - j**3/2 + 3*j**2. Let l(s) = 9 - 6*s**3 - 18 + 4*s**3 + 4971*s**2 - 4957*s**2. Give 3*l(k) - 8*r(k).
2*k**3 + 2*k**2 - 3
Let i(j) = -71*j + 21. Let h(p) = 17*p - 5. What is 9*h(m) + 2*i(m)?
11*m - 3
Let j(b) = -b**3 - 31*b**2 + 3. Let s(g) = -2*g**3 - 32*g**2 + 4. Determine 4*j(y) - 3*s(y).
2*y**3 - 28*y**2
Let w(a) = -1233*a**3 + 36*a**2 - 36*a + 36. Let z(h) = 176*h**3 - 5*h**2 + 5*h - 5. Determine 5*w(y) + 36*z(y).
171*y**3
Let d(i) be the third derivative of -3*i**5/20 - i**4/12 - 4*i**3/3 - 286*i**2. Let b(z) = -9*z**2 - 2*z - 9. Give 6*b(y) - 7*d(y).
9*y**2 + 2*y + 2
Let f(w) = 3*w**2 - 5*w - 5. Let u(o) = -15*o**2 + 78*o - 18. Let i(g) = -3*g**2 + 16*g - 4. Let r(n) = 24*i(n) - 5*u(n). What is 4*f(m) - 3*r(m)?
3*m**2 - 2*m - 2
Let t be (-88)/(-20) + 4/(-10). Let j be 16/(-2)*(-2)/t. Let w(x) = 1 + 3 + 6*x - 2 - j*x. Let d(m) = 6*m + 7. Determine -2*d(v) + 7*w(v).
2*v
Let q(j) = 7*j**2 + 103*j - 14. Let c(v) = -3*v**2 - 51*v + 5. Give -5*c(y) - 2*q(y).
y**2 + 49*y + 3
Let j(c) = 113*c**3 + 4*c**2 - 2*c - 2. Let h(i) = -i - 1. What is -2*h(q) + j(q)?
113*q**3 + 4*q**2
Let t(j) = j - 7. Let l = 424 - 429. Let n(u) = 0 - 2 - 1. Let g(a) = 4. Let q(w) = 6*g(w) + 7*n(w). Calculate l*q(f) - 2*t(f).
-2*f - 1
Let x = 941 + -943. Let c(w) = 47*w + 13. Let b(r) = 12*r + 3. Calculate x*c(v) + 9*b(v).
14*v + 1
Let z(h) = -7*h + 8. Let q be (26*-1)/(2/1). Let g(t) be the second derivative of -5*t**3/2 + 17*t**2/2 - 2*t. Give q*z(r) + 6*g(r).
r - 2
Let d(f) = 9*f**3 + 5*f**2 - 5*f - 5. Let j = -301 + 296. Let n(s) = 13*s**3 + 7*s**2 - 7*s - 7. Determine j*n(u) + 7*d(u).
-2*u**3
Let u(p) = 3*p**3 + 9*p**2 + p + 4. Let r(w) = -5*w**3 - 10 + 3 - 17*w**2 - 16*w - 32*w + 47*w. Determine -4*r(a) - 7*u(a).
-a**3 + 5*a**2 - 3*a
Let d(w) = 15*w**3 + 36*w + 13. Let c(z) = -14*z**3 - 42*z - 13. Calculate -6*c(r) - 7*d(r).
-21*r**3 - 13
Suppose -2*p = -5*p - 3*u + 27, -2*u = -10. Let n(g) = 11*g + 4. Let b(t) = -6*t - 2. Determine p*n(o) + 7*b(o).
2*o + 2
Let p(h) = 7*h**3 + 14*h**2 + 8*h + 6. Let a(i) = -i**2 + 25*i - 108. Let m be a(20). Let q(v) = -2*v**3 - 5*v**2 - 3*v - 2. What is m*q(x) - 3*p(x)?
-5*x**3 - 2*x**2 - 2
Let o(i) = -249*i + 332. Let j(n) = -n + 1. Calculate -332*j(b) + o(b).
83*b
Let w(z) = 7*z + 3. Let r = 248 - 243. Let f(x) = 8*x + 3. Calculate r*f(g) - 6*w(g).
-2*g - 3
Suppose -17 = 4*o - 5. Let l = 1 + o. Let h(b) = b**2 - b + 1. Let g be ((-1)/2)/(1/(-2)). Let t(u) = 4*u**2 - 2*u + 2. Calculate g*t(i) + l*h(i).
2*i**2
Let v(b) = -8*b - 140. Let x be v(-17). Let s(j) = 2*j - 11. Let a(k) = -k + 6. Determine x*s(g) - 7*a(g).
-g + 2
Let c(n) = -2 + 6*n + 0 - 2*n. Let g(v) = 2*v + 12. Let d be g(-5). Let y(b) = 2*b - 1. Let r(m) = -6*m**2 + m. Let z be r(1). What is d*c(t) + z*y(t)?
-2*t + 1
Let b(k) = -5*k**2 - k - 1. Let y be (-2)/4*(3 - 1). Let n be y/2 - (-5)/2. Let x(p) = -2*p**2 + 3 - 2*p**n - 3 - 1. Calculate -2*b(t) + 3*x(t).
-2*t**2 + 2*t - 1
Let r(w) = -5*w**2 + 2*w + 1. Let v be (-2*(-3)/(-6))/((-1)/(-9)). Let c(m) = 21*m**2 - 9*m - 5. What is v*r(f) - 2*c(f)?
3*f**2 + 1
Let l(w) = w**2 - 3*w - 16. Let y(r) be the first derivative of r**3/3 - r**2 - 11*r - 196. What is -5*l(b) + 7*y(b)?
2*b**2 + b + 3
Let s(t) = 5*t**2 + 3*t. Let o(w) = 13*w**2 - 5*w. Let q(f) = -6*f**2 + 2*f. Let d(a) = 3*o(a) + 7*q(a). Calculate -7*d(i) - 4*s(i).
i**2 - 5*i
Let u(j) = -76*j + 19. Let g(m) = 836*m - 204. Determine -3*g(c) - 32*u(c).
-76*c + 4
Let q(t) = 2*t**3 - 2*t**2 + 1. Let v(r) = 16*r**3 - 6*r**2 - 29*r + 3. Give 3*q(g) - v(g).
-10*g**3 + 29*g
Let c(m) = -2*m**2 - 2*m - 5. Let f(z) = -z**2 - 2*z - 3. Let p(v) = 2*c(v) - 3*f(v). Let b(n) = -n**2 + n. Determine -3*b(a) + p(a).
2*a**2 - a - 1
Let u(i) = 2*i - 11. Suppose -q - 1 = -4*b, -5*q + 0*b - 27 = 2*b. Let d(p) = -2*p + 12. Give q*u(m) - 4*d(m).
-2*m + 7
Let k(n) = -43*n**2 - 12*n - 17. Let b(u) = -14*u**2 - 4*u - 6. Calculate 7*b(w) - 2*k(w).
-12*w**2 - 4*w - 8
Let a(m) = 3*m - 7. Let y(d) = d - 3. Let k(c) = 2*a(c) - 5*y(c). Let w(x) = -x - 1. Give -4*k(o) - 3*w(o).
-o - 1
Let l(c) = -11*c**3 - 8*c**2 - 17*c + 8. Let z(i) = i - 4. Let d be z(1). Let w(s) = -4*s**3 - 3*s**2 - 6*s + 3. Give d*l(r) + 8*w(r).
r**3 + 3*r
Let y(x) = -1. Suppose 4*f + s = -2*s + 56, -3*s = -5*f + 70. Let a = f + -16. Let v(t) = -t - 2. Determine a*y(z) + v(z).
-z
Suppose j - 12 - 4 = 0. Let d(o) = 13 + 3*o + 3 - 9*o - 4*o. Let i(w) be the second derivative of -w**3/2 + 5*w**2/2 - 2*w. Calculate j*i(u) - 5*d(u).
2*u
Let r(s) = -81 + 87 - 4*s + 5*s**2 - 1. Let z(p) = 6*p**2 - 5*p + 6. Let q be (-45)/(-4) - (-4)/(-16). Suppose 1 + q = 3*a. Calculate a*r(k) - 3*z(k).
2*k**2 - k + 2
Let v(c) = -11*c +