hat is l in w(l) = 0?
-1, -1/4, 0, 1
Let h(i) = 8*i**2 - 8*i. Suppose 2*w + 3*w = 35. Let b(y) = -24*y**2 + 24*y + 1. Let d(t) = w*h(t) + 2*b(t). Suppose d(l) = 0. What is l?
1/2
Let c(d) = d + 8. Let t be c(-6). Let i(l) = -l + 2. Let s be i(-3). Let 4 + z + s*z + t*z**2 + 0*z**2 = 0. What is z?
-2, -1
Let q(r) be the second derivative of -r**5/40 + r**3/12 - r. Suppose q(a) = 0. What is a?
-1, 0, 1
Let f(r) be the first derivative of 2 + 1/20*r**5 + r - 1/3*r**2 - 1/6*r**3 + 1/18*r**4. Let g(i) be the first derivative of f(i). Let g(n) = 0. Calculate n.
-1, -2/3, 1
Let q = -791 + 794. Solve 2/3 + 32/3*w**5 - 46/3*w**q + 14/3*w**2 + 14/3*w - 16/3*w**4 = 0.
-1, -1/4, 1
Let m(b) be the second derivative of b**6/90 + b**5/15 + b**4/12 - 2*b**3/9 - 2*b**2/3 - 6*b. Factor m(h).
(h - 1)*(h + 1)*(h + 2)**2/3
Let d(j) = -j**3 + 9*j**2 - 3*j + 31. Let p be d(9). Let l(r) be the second derivative of 7/60*r**5 + 1/18*r**p - 2*r + 0 + 0*r**2 + 0*r**3. Factor l(b).
b**2*(7*b + 2)/3
Let d = -2/69 - -52/207. Let -2/9*k**4 - 2/9*k**3 + 2/9*k**2 + d*k + 0 = 0. Calculate k.
-1, 0, 1
Let z(q) = -q**3 + 8*q**2 - 8*q + 10. Let r be z(7). Solve 6/5*m - 4/5*m**2 - 4/5*m**r - 2/5 + 6/5*m**4 - 2/5*m**5 = 0 for m.
-1, 1
Let o be -102*((-41)/8 - -5). Find d such that o*d**2 + 6*d + 15/4*d**4 + 23/2*d**3 + 1 = 0.
-1, -2/3, -2/5
Let h(g) = -23*g**2 - 7*g + 29. Let u(d) = -16*d**2 - 5*d + 19. Let p(z) = 5*h(z) - 7*u(z). Suppose p(l) = 0. Calculate l.
-2, 2
Let n be (-5 - -11 - 0) + -3. Factor -5/4*d - d**2 - 1/4*d**n - 1/2.
-(d + 1)**2*(d + 2)/4
Let j(o) be the second derivative of 1/7*o**2 - 1/84*o**4 - 1/14*o**3 + 0 + 7*o - 1/210*o**6 + 3/140*o**5. Factor j(i).
-(i - 2)*(i - 1)**2*(i + 1)/7
Let m = -781 - -5477/7. Suppose -8/7*r**2 + m*r - 6/7*r**3 + 4/7 = 0. Calculate r.
-2, -1/3, 1
Suppose 2*i = -2*n + 2, 4*i + n - 22 = 3*n. Let 2*s - 4*s + i*s - 4*s**2 - s**2 = 0. What is s?
0, 2/5
Let g = 28070 + -195736/7. Let p = 108 - g. Factor 0*n + p*n**2 - 2/7*n**3 + 0.
-2*n**2*(n - 1)/7
Let f(b) = -7*b - 276. Let g be f(-40). Let 1/10*a**g + 1/10*a**5 + 0*a - 1/10*a**3 + 0 - 1/10*a**2 = 0. Calculate a.
-1, 0, 1
Suppose -3*u = 3*j, -4*j - 6*u = -u + 4. Factor 0*i**2 + i - j*i**2 + 7*i**2 - 2.
(i + 1)*(3*i - 2)
Let c(d) = -7*d**3 + 9*d**2 + 3*d + 5. Let n(u) = 20*u**3 - 26*u**2 - 8*u - 14. Let s(k) = -14*c(k) - 5*n(k). Let s(j) = 0. What is j?
0, 1
Factor 2/11*t**4 + 2/11*t + 6/11*t**2 + 6/11*t**3 + 0.
2*t*(t + 1)**3/11
Let f(v) be the second derivative of v**7/21 + v**6/5 - v**5/10 - v**4/2 + 4*v - 6. Suppose f(j) = 0. What is j?
-3, -1, 0, 1
Let u be ((-1)/(-3))/((-2)/(-18)). Suppose 4*g + 23 - u = 0, -24 = -3*y + 3*g. Let 3 + 9*n**y - 3 - 6*n**3 = 0. What is n?
0
Let d(x) = -5*x**2 + 2*x. Let j(h) = -16*h**2 + 6*h. Let o be 16/6 + 4/(-6). Let m(n) = o*j(n) - 7*d(n). Factor m(u).
u*(3*u - 2)
Let v(r) = r. Let w be v(3). Let o be 20/3 + -3 - w. Determine k so that 0 + o*k**3 - 2/3*k**2 + 0*k = 0.
0, 1
Let b(j) = 2*j + 47. Let m be b(-22). Let x be 16/(-24) - (-1 - 0). Solve x*s**2 + 0 + s**4 + 0*s + 4/3*s**m = 0 for s.
-1, -1/3, 0
Let f(x) = 2*x**3 - x**2 - 2*x. Suppose 2*l + 4 = -3*u + 1, 2*l + 2*u = -4. Let s(r) = r**3 - r**2 - r. Let i(k) = l*s(k) + 3*f(k). Find z, given that i(z) = 0.
-1, 0, 1
Let i(x) = -605*x**3 - 805*x**2 - 240*x - 20. Let y(r) = r**2. Let t(a) = -i(a) + 20*y(a). Determine u, given that t(u) = 0.
-1, -2/11
Let f be (7 + -8 - -2)/((-2)/(-4)). Factor -1/2*t**3 + 0 - t**f + 0*t.
-t**2*(t + 2)/2
Let u(v) be the third derivative of v**7/630 + 11*v**6/360 + 43*v**5/180 + 23*v**4/24 + 2*v**3 - 42*v**2. Solve u(j) = 0.
-4, -3, -1
Let f be ((-242)/(-6))/(12/9). Let a = f - 30. Suppose -a - 1/4*k**2 - 1/2*k = 0. What is k?
-1
Factor 0 - 3*x**2 - 3/4*x**4 - 3*x**3 + 0*x.
-3*x**2*(x + 2)**2/4
Let o(k) be the first derivative of k**6/48 - 3*k**5/40 + 3*k**4/32 - k**3/24 + 20. Factor o(g).
g**2*(g - 1)**3/8
Let s = 10 - 16/3. Determine k, given that -s*k + 2/3*k**4 + 2/3*k**2 - 20/3*k**5 + 34/3*k**3 - 4/3 = 0.
-1, -1/2, -2/5, 1
Let o be 112/52 - 2/13. Let f(m) be the second derivative of 1/6*m**3 - m - 1/12*m**4 - 1/20*m**5 + 0 + 1/2*m**o. Factor f(x).
-(x - 1)*(x + 1)**2
Let r(i) be the third derivative of 0 - 1/30*i**6 + 1/90*i**5 + 0*i**4 + 0*i + 3*i**2 - 1/126*i**8 + 1/35*i**7 + 0*i**3. What is b in r(b) = 0?
0, 1/4, 1
Let w(y) be the second derivative of y**5/10 + y**4/2 - 3*y**3 + 5*y**2 - y - 2. Factor w(m).
2*(m - 1)**2*(m + 5)
Let c(z) be the third derivative of z**5/150 - 6*z**2. What is b in c(b) = 0?
0
Let f(i) = -i**2 - 5*i - 6. Let r(s) = 5*s**2 + 20*s + 24. Let c(z) = 9*f(z) + 2*r(z). Find y, given that c(y) = 0.
-1, 6
Let h(i) be the third derivative of -2*i**2 + 0*i**4 + 1/240*i**5 + 0 + 0*i**3 + 0*i. Factor h(o).
o**2/4
Let t be (-3)/6 - (-14)/4. Let x(b) be the first derivative of -1/4*b + 1 - 1/4*b**2 - 1/12*b**t. Determine n, given that x(n) = 0.
-1
Factor 0 + 4/3*q - 2/3*q**4 - q**3 + 4/3*q**2 + 1/3*q**5.
q*(q - 2)**2*(q + 1)**2/3
Let n(s) be the second derivative of -s**7/315 - 13*s**6/360 - s**5/20 + s**4/6 - 6*s. Let k(z) be the third derivative of n(z). Find m, given that k(m) = 0.
-3, -1/4
Let n = -55574/75 + 741. Let f(w) be the third derivative of -n*w**6 + 1/15*w**3 + 0*w - 1/15*w**4 + 1/25*w**5 - 2*w**2 + 0 + 1/525*w**7. Factor f(c).
2*(c - 1)**4/5
Let v(c) be the second derivative of 0 + 3/20*c**5 - 81/2*c**2 + 27/2*c**3 - 9/4*c**4 - 5*c. Find q such that v(q) = 0.
3
Suppose 6*s - 2*s = 0. Let o(u) be the third derivative of 0*u + 1/840*u**8 - 1/150*u**6 + 1/60*u**4 + s*u**5 + 0*u**3 + 0 + 0*u**7 + 2*u**2. Factor o(d).
2*d*(d - 1)**2*(d + 1)**2/5
Suppose -2*m + 2 = 0, l - 2*m = 3*m - 1. Factor 0*x**2 + 0 - 2/9*x**5 + 0*x**l + 0*x + 2/9*x**3.
-2*x**3*(x - 1)*(x + 1)/9
Let c(l) = -15*l**3 + 15*l**2 - 9*l - 3. Let p(j) = -j**4 + 14*j**3 - 15*j**2 + 8*j + 2. Let g(w) = 2*c(w) + 3*p(w). Let g(a) = 0. Calculate a.
0, 1, 2
Let r(m) be the third derivative of -m**7/3780 + m**5/180 - m**4/8 - 5*m**2. Let h(i) be the second derivative of r(i). Solve h(a) = 0.
-1, 1
Let a be (-10)/(-4)*48/60. Suppose -3*x - 1 = -7. What is t in 2*t - t**x + 2*t**a - 3 + 4 = 0?
-1
Let d(c) = -2*c**3 - 3*c**2 - 3*c - 7. Let w = 0 + 2. Let x(b) = -22 - 10*b - 5*b**2 + 0*b - 5*b**w - 6*b**3. Let l(o) = 16*d(o) - 5*x(o). Factor l(n).
-2*(n - 1)**2*(n + 1)
Let n(t) = 7*t**4 - 13*t**3 + 10*t**2 + t - 5. Let i(g) = -3*g**4 + 6*g**3 - 5*g**2 + 2. Let m(p) = -10*i(p) - 4*n(p). Factor m(h).
2*h*(h - 2)*(h - 1)**2
Let u(m) be the second derivative of -1/42*m**4 + 0*m**2 + 0 + 0*m**3 - 3*m + 1/70*m**5. Solve u(q) = 0.
0, 1
Let c = -39 + 39. Let n(q) be the third derivative of -1/9*q**4 + c*q + 0 + 3*q**2 + 1/60*q**5 + 2/9*q**3. Factor n(t).
(t - 2)*(3*t - 2)/3
Let l = -12 - 5. Let y(b) = 5*b**3 + b**2 - 2*b - 4. Let h(s) = -14*s**3 - 2*s**2 + 7*s + 12. Let u(p) = l*y(p) - 6*h(p). Find q such that u(q) = 0.
-2, -1
Let x(z) be the second derivative of -3*z**5/40 - 3*z**4/4 - 3*z**3 - 6*z**2 + 4*z. Solve x(k) = 0.
-2
Let b(u) be the second derivative of 2*u**7/21 - 2*u**6/5 + u**5/5 + u**4 - 4*u**3/3 + 18*u. Factor b(h).
4*h*(h - 2)*(h - 1)**2*(h + 1)
Let f(y) be the first derivative of 16*y**5/15 - 10*y**4/3 + 11*y**3/3 - 5*y**2/3 + y/3 - 3. Suppose f(v) = 0. What is v?
1/4, 1
Let f(g) be the third derivative of 0*g**4 - 1/180*g**5 + 1/6*g**3 - 1/540*g**6 + 0 + 2*g**2 + 0*g. Let c(n) be the first derivative of f(n). Factor c(u).
-2*u*(u + 1)/3
Let r(f) be the second derivative of -f**6/2880 + f**5/960 + 2*f**3/3 - 3*f. Let i(m) be the second derivative of r(m). Factor i(b).
-b*(b - 1)/8
Let k(p) be the second derivative of -p**7/900 + 19*p**6/1800 + p**5/50 + 5*p**4/12 - 5*p. Let y(o) be the third derivative of k(o). Factor y(c).
-2*(c - 3)*(7*c + 2)/5
Let h(z) be the first derivative of -z**6/3 - z**5 - z**4 - z**3/3 + 5. Suppose h(y) = 0. Calculate y.
-1, -1/2, 0
Let j(b) be the second derivative of -b**4/2 - 2*b**3/3 - 7*b. Determine l, given that j(l) = 0.
-2/3, 0
Factor 3/2*r**2 - 3/2*r - 3/2*r**4 + 3/2*r**3 + 0.
-3*r*(r - 1)**2*(r + 1)/2
Suppose 9*r - 5*r = 12. Factor 2/3*o**2 + 1/3*o + 1/3*o**r + 0.
o*(o + 1)**2/3
Suppose 12/11*y**3 - 6/11*y**2 - 32/11*y + 24/11 + 2/11*y**4 = 0. Calculate y.
-6, -2, 1
Let z(s) be the second derivative of s**7/14 - 3*s**5/20 - s. Sup