 -2*c**3 + 6 + 0*c**2 - c - c**2 - 3*c**3 - 5. Let h(l) = -14*l**3 - 2*l**2 - 2*l + 2. Let i(r) = 3*h(r) - 8*k(r). Suppose i(n) = 0. What is n?
-1, 1
Let v be (5 + -3)/(1 + -3 - -7). Determine s so that 0*s**2 - 2/5*s**3 + 0 + v*s = 0.
-1, 0, 1
Let v(x) = -x**3 + x**2 + x + 1. Let i(u) = -2*u - 2*u**3 - 6*u**2 - 14*u**2 - 4 - 6*u + 6*u**2. Let l(s) = i(s) + 4*v(s). Determine w so that l(w) = 0.
-1, -2/3, 0
Factor 129*w**4 + 3*w**5 + 10*w**3 + 3*w**2 - w**3 - 120*w**4.
3*w**2*(w + 1)**3
Let y be 330/472 + (-3)/6. Let j = y - -3/59. Factor -5/4*n - j*n**3 - 1/2 - n**2.
-(n + 1)**2*(n + 2)/4
Let l(m) = -m + 8. Let y be l(6). Let n(v) be the first derivative of 1/2*v**4 - 6/5*v**5 - 4*v - y + 10/3*v**3 - v**2. Determine q so that n(q) = 0.
-1, -2/3, 1
Let b(v) be the third derivative of v**5/450 - 2*v**4/45 + 16*v**3/45 - 2*v**2. What is c in b(c) = 0?
4
Let n(m) be the second derivative of 2*m + 1/4*m**2 + 0 - 1/4*m**3 - 1/6*m**4. Find h such that n(h) = 0.
-1, 1/4
Let n(s) be the third derivative of -s**6/240 + 68*s**2. Factor n(y).
-y**3/2
Suppose -2*c + 8 = 2*c. Factor 1 + v**c + 0*v - 2*v + 0*v**2.
(v - 1)**2
Let c = -6 + 4. Let y = c - -4. Factor 0*x - 2/7*x**y + 0.
-2*x**2/7
Let z(m) be the second derivative of 2*m**7/105 - 4*m**6/25 + 57*m**5/100 - 67*m**4/60 + 13*m**3/10 - 9*m**2/10 - 7*m. Determine g so that z(g) = 0.
1, 3/2
Let m = 77 - 381/5. Factor -m*c - 2/5 - 2/5*c**2.
-2*(c + 1)**2/5
Let k(z) = z**2 - 3*z + 3. Let j(s) = s - 1. Let a be ((-10)/(-6) - -1)*3. Let q = 2 - a. Let x(l) = q*j(l) - 2*k(l). Factor x(g).
-2*g**2
Let z(u) be the third derivative of u**8/15120 + u**7/3024 + u**6/2160 + u**5/12 - 5*u**2. Let r(k) be the third derivative of z(k). Factor r(a).
(a + 1)*(4*a + 1)/3
Let q be 25/(-250)*(-3 - (0 + -1)). Solve 3/5*m - q + 1/5*m**2 - 3/5*m**3 = 0 for m.
-1, 1/3, 1
Let v be 7 + -3 - ((0 - -2) + 0). Factor 0 + 2*i**3 - 3/4*i**4 - 7/4*i**v + 1/2*i.
-i*(i - 1)**2*(3*i - 2)/4
Let x(f) be the second derivative of -f**7/1260 + f**5/180 - 7*f**3/6 + 8*f. Let m(k) be the second derivative of x(k). Factor m(b).
-2*b*(b - 1)*(b + 1)/3
Let q(o) = -36*o**2 - 15*o - 21. Let j(l) = 7*l**2 + 3*l + 4. Let i(f) = -21*j(f) - 4*q(f). Factor i(y).
-3*y*(y + 1)
Let k(m) be the second derivative of 3*m + 7/40*m**5 + 0 + 0*m**2 + 1/2*m**4 - 1/3*m**3. Solve k(s) = 0.
-2, 0, 2/7
Let j(o) be the third derivative of -o**6/108 - 7*o**5/180 - o**4/18 - 4*o**3/3 - 4*o**2. Let l(i) be the first derivative of j(i). Find y, given that l(y) = 0.
-1, -2/5
Let -4/3*r**5 + 12*r**3 - 32/3*r + 52/3*r**2 - 4/3*r**4 - 16 = 0. What is r?
-2, -1, 1, 3
Let o = 367/145 + 2/29. Let -4/5*l**5 + 7/5*l**2 - 3*l**3 + 0 + o*l**4 - 1/5*l = 0. What is l?
0, 1/4, 1
Let l = -159 + 2709/17. Let 4/17 - l*y**2 + 2/17*y**4 - 2/17*y**3 + 2/17*y = 0. Calculate y.
-1, 1, 2
Let k(q) be the second derivative of -q**4/6 - 4*q**3/3 - 4*q**2 + 21*q. Let k(w) = 0. What is w?
-2
Let z(j) = -3*j - 3. Let s be z(-3). Let p be 2/s - (-19)/15. Solve 2/5*g**2 - p*g + 8/5 = 0 for g.
2
Let w(y) be the second derivative of -y**5/80 + 3*y + 4. Factor w(x).
-x**3/4
What is n in -2/13 - 2/13*n**4 + 0*n + 0*n**3 + 4/13*n**2 = 0?
-1, 1
Let b be 8/6 + 51/(-45). Determine v so that b*v**4 + 2/5*v - 1/5*v**2 - 2/5*v**3 + 0 = 0.
-1, 0, 1, 2
Let c(f) be the third derivative of -2*f**7/735 - f**6/42 - 3*f**5/35 - f**4/6 - 4*f**3/21 - 5*f**2. Suppose c(g) = 0. What is g?
-2, -1
Let w(s) = -s - 7. Let q be w(-9). Suppose -4*r - 4*r**2 - 2*r + 3*r + 7*r**q = 0. What is r?
0, 1
Let t be 418/99 - (7 - 3). What is k in t*k + 0 + 2/3*k**2 + 2/9*k**4 + 2/3*k**3 = 0?
-1, 0
Suppose -5*r + 5 = -3*v, 4*r = -v + 3 + 1. Suppose v = q - 2 - 0. Determine t, given that 3 + 0 - 2*t**3 + t**q + t - 4 + t**3 = 0.
-1, 1
Let g(m) = -8*m**2 - 5*m + 32. Let a(i) = -4*i**2 - 2*i + 16. Let k(w) = -5*a(w) + 2*g(w). Factor k(r).
4*(r - 2)*(r + 2)
Let i(b) be the first derivative of b**4/5 - 4*b**3/15 + 2. Solve i(m) = 0 for m.
0, 1
Let t = 3 + -10. Let v be t/(-2) + (-2)/4. Factor -4*h + 0*h + 5*h + 2 - h**v - 2*h**2.
-(h - 1)*(h + 1)*(h + 2)
Let s be -320*(0/3 - 1). Solve -364*z**3 - 2048*z**5 - s*z**2 - 2560*z**4 - 40*z - 6 - 673*z**3 + 4 - 243*z**3 = 0 for z.
-1/4
Let p = 17 + -14. Find v, given that -2/7*v**5 - 2/7 - 4/7*v**p - 4/7*v**2 + 6/7*v + 6/7*v**4 = 0.
-1, 1
Let z(a) = -1. Let b(h) = 2*h**2 - 6*h - 2. Let m(i) = b(i) + 6*z(i). Solve m(w) = 0.
-1, 4
Let q(b) be the third derivative of -b**9/181440 - b**8/20160 - b**7/7560 - b**5/30 - 2*b**2. Let k(s) be the third derivative of q(s). Factor k(t).
-t*(t + 1)*(t + 2)/3
Let q be ((-28)/12)/(86/(-22)). Let d = q - -3/43. Determine z so that 2/3*z**2 - 1/3*z**4 - 1/3 - 1/3*z + d*z**3 - 1/3*z**5 = 0.
-1, 1
Let a(b) be the second derivative of 2*b + 1/4*b**2 - 1/24*b**4 + 0 - 3/80*b**5 + 1/8*b**3. Factor a(q).
-(q - 1)*(q + 1)*(3*q + 2)/4
Solve -50/13*l**2 + 20/13*l - 2/13 = 0 for l.
1/5
Let z(a) be the second derivative of -a**5/5 - a**4 + 8*a**2 - 4*a. Determine j, given that z(j) = 0.
-2, 1
Find m, given that -2/7*m**2 + 8/7*m - 8/7 = 0.
2
Let q be (2 - -5) + 0/(-1). Let m = q + -6. Factor m + 3 - 4 - 2*a + a**2.
a*(a - 2)
Factor -5*i + 3 + 7/3*i**2 - 1/3*i**3.
-(i - 3)**2*(i - 1)/3
Let h(t) = t + 4. Let m be h(6). Find k such that -m*k**2 + 16*k - 2 - 1 - 5 + 2*k**3 = 0.
1, 2
Let x(h) = h**2 + 12*h + 12. Let c be x(-12). Let b be ((-2)/(-12))/(9/c). What is i in b*i**2 + 2/9*i + 0 = 0?
-1, 0
Let r(o) be the second derivative of -o**7/56 + o**6/24 + o**5/80 - 5*o**4/48 + o**3/12 - 9*o. Suppose r(b) = 0. Calculate b.
-1, 0, 2/3, 1
Let c(i) be the first derivative of i**4 + 20*i**3/3 + 14*i**2 + 12*i - 60. Find q, given that c(q) = 0.
-3, -1
Let p = -10 + 10. Let h(b) be the third derivative of p - 1/240*b**5 - 1/48*b**4 + 0*b + b**2 - 1/24*b**3. Factor h(k).
-(k + 1)**2/4
Let d be (0 + -1)*-3 + -1. Suppose 3*b - 7*b + 8 = 0. Determine t, given that b*t**3 + 0*t**3 + d*t**4 + t**2 - t**4 = 0.
-1, 0
Let m = -18 + 46. Suppose 3*z + m = 10*z. Factor 0 + 0*a**2 - 1/2*a + 0*a**z + a**3 - 1/2*a**5.
-a*(a - 1)**2*(a + 1)**2/2
Let v = -21 + 14. Let c be v/(-35) + (-14)/(-5). Factor -a + a**2 - 1/3*a**c + 1/3.
-(a - 1)**3/3
Let x(g) be the third derivative of g**5/60 - g**4/3 + 8*g**3/3 + 3*g**2. Determine o, given that x(o) = 0.
4
Let l(w) be the third derivative of w**8/6720 + w**7/840 + w**6/288 + w**5/240 - w**3/6 - 4*w**2. Let t(i) be the first derivative of l(i). Factor t(z).
z*(z + 1)**2*(z + 2)/4
Suppose -85 = 3*x + 2*x. Let n = x - -19. Determine s, given that 0*s**3 + 1/2*s**4 - 1/4*s - 1/2*s**n + 1/4*s**5 + 0 = 0.
-1, 0, 1
Let f(q) = 5*q**3 - 6*q**2 + q + 6. Let v(j) = j**3 - j**2 + 1. Let m(d) = -f(d) + 6*v(d). Factor m(l).
l*(l - 1)*(l + 1)
Let j(d) = 7*d**3 + 9*d**2 - 39*d + 23. Let g(r) = -4*r**3 - 4*r**2 + 20*r - 12. Let o(z) = 10*g(z) + 6*j(z). Factor o(u).
2*(u - 1)**2*(u + 9)
Let y(c) be the first derivative of -c**6/1440 + c**5/160 - c**4/48 + 2*c**3/3 + 2. Let b(h) be the third derivative of y(h). Factor b(q).
-(q - 2)*(q - 1)/4
Suppose -1 - 3*w**2 + 0 + 6 - 2 = 0. What is w?
-1, 1
Let p(f) be the first derivative of f**4/8 - f**3/6 - 6. Solve p(u) = 0 for u.
0, 1
Let k(p) be the third derivative of -p**2 + 0 + 1/120*p**6 - 1/24*p**3 - 3/80*p**5 + 0*p + 1/16*p**4. Suppose k(x) = 0. What is x?
1/4, 1
Let u = -1159/9 - -129. Let n be -1 + 95/15*1/3. Factor 8/9*d**3 + 0 - u*d**4 + 4/9*d - n*d**2.
-2*d*(d - 2)*(d - 1)**2/9
Let x(p) be the first derivative of 1/2*p**4 + 2/3*p**3 + 7 + 0*p**2 + 0*p. Let x(i) = 0. What is i?
-1, 0
Let o(i) = 3*i - 6. Let y(h) = -13*h + 25. Let f(m) = 9*o(m) + 2*y(m). Let q be f(4). Find r such that -r**3 + q*r + 1/2*r**4 + 0 + 1/2*r**2 = 0.
0, 1
Suppose -3*m - h = -4, -2*h = -2*m - 3*m + 25. Factor 1 + w**3 - w - m*w**3 - w**2 + 3*w**3.
(w - 1)**2*(w + 1)
Let b(d) be the second derivative of -d**7/357 + d**6/255 + d**5/170 - d**4/102 - 7*d. Determine w, given that b(w) = 0.
-1, 0, 1
Let i(c) be the third derivative of -1/60*c**4 + 0*c - 2/15*c**3 + 1/300*c**6 - 2*c**2 + 0 + 1/50*c**5 - 1/525*c**7. Determine v so that i(v) = 0.
-1, 1, 2
Let o(d) = 16*d - 5 + 28*d**2 + 8 + 12*d**3 + 1. Let u(w) = w**4 - 11*w**3 - 29*w**2 - 16*w - 4. Let z(q) = -5*o(q) - 4*u(q). Factor z(a).
-4*(a + 1)**4
Let k(p) = -7*p + 2*p**3 - 4 - 3*p**3 - 3*p**2 - 4*