 ((-4)/(-14))/((-2)/d). Suppose -5*u**2 - g*u + 6*u**2 + 0*u = 0. What is u?
0, 2
Let n be (-10)/(-2) - (-5)/(-5). Suppose n*t - 2*z = 22, 5*t + 12 - 45 = -3*z. Factor -6 - 3*l**4 + 13 - t*l**2 - 9*l**3 - 7.
-3*l**2*(l + 1)*(l + 2)
Factor 6 + 63/2*s + 81/4*s**2.
3*(3*s + 4)*(9*s + 2)/4
Let p(c) be the first derivative of -c**5/240 + c**4/48 + 35*c**2/2 + 12. Let o(g) be the second derivative of p(g). Factor o(n).
-n*(n - 2)/4
Suppose 84*m - m = 0. Suppose 1/2*w**2 - 1/2*w**4 - 1/4*w + 0 + 1/4*w**5 + m*w**3 = 0. Calculate w.
-1, 0, 1
Let z be (-13)/(-2) + 1 + -10 + 4. Let f(l) be the first derivative of -1/3*l**3 - z*l**2 + 2 - 2*l. Factor f(w).
-(w + 1)*(w + 2)
Let x(s) be the third derivative of -1/18*s**6 - 2/9*s**4 + 8/45*s**5 - 10*s**2 + 0*s**3 + 0 + 0*s + 2/315*s**7. Factor x(c).
4*c*(c - 2)**2*(c - 1)/3
Determine m, given that 26/3*m**3 - 28/3 - 2/3*m**4 + 10*m**2 - 26/3*m = 0.
-1, 1, 14
Let t(f) be the second derivative of 1/3*f**4 + 0 + 4/3*f**3 + f + 0*f**2. Let t(l) = 0. What is l?
-2, 0
Suppose -110*z - 8 = -114*z. Determine q, given that -2/9*q**3 - 2/9*q + 0 - 4/9*q**z = 0.
-1, 0
Let w be -3 - (259/(-49) - -2). Let h be 36/14 - 9*(-8)/(-36). Solve -w*y**2 + 0 + h*y = 0 for y.
0, 2
Let k(g) be the first derivative of g**6/360 + g**5/40 - g**4/6 - 8*g**3 + 6. Let s(r) be the third derivative of k(r). Find x, given that s(x) = 0.
-4, 1
Suppose 2*x + 53 - 54 = y, 0 = -x - 5*y - 5. What is f in 2/7*f**2 + 6/7*f + x = 0?
-3, 0
Let h(d) be the first derivative of -4*d**3 - 152*d**2 - 100*d - 9. Find k, given that h(k) = 0.
-25, -1/3
Let n = -15333 + 199345/13. Find j such that -4*j - n + 14/13*j**2 = 0.
-2/7, 4
Let l = -145 + 145. Let t(g) be the second derivative of 0*g**2 - 1/105*g**7 + 0*g**3 - 1/75*g**6 - 5*g + 0*g**4 + l*g**5 + 0. Determine q, given that t(q) = 0.
-1, 0
Let s(x) = 108*x**3 + 833*x**2 + 1097*x - 281. Let h(v) = -144*v**3 - 1111*v**2 - 1463*v + 375. Let n(z) = -7*h(z) - 9*s(z). Determine k, given that n(k) = 0.
-6, -2, 2/9
What is d in 14/3*d**2 - 20/3*d - 22 = 0?
-11/7, 3
Determine l so that 16*l**3 - 14*l**2 + 84 - 22*l**2 - 44 - 40*l**2 - 24 + 44*l = 0.
-1/4, 1, 4
Let c be 6/(-1)*(0 + 2). Let t be c/8*(-6)/(-9). Let l(m) = m**2 - m - 1. Let g(s) = -5*s**2 + s + 2. Let f(o) = t*g(o) - 4*l(o). Factor f(q).
(q + 1)*(q + 2)
Find z such that 4*z - 28*z + 11*z**2 - 64 - 12*z**2 + 5*z**2 = 0.
-2, 8
Let r be ((-5)/(-20))/(-3*-20*1). Let g(h) be the third derivative of 1/420*h**7 + 0*h + 0*h**3 + 0*h**4 + r*h**6 - 4*h**2 + 0 + 0*h**5. Factor g(l).
l**3*(l + 1)/2
Suppose -3*c = 5*n - 4, -2*n + 1527 = 1529. Determine h so that 1/2*h**4 + 0*h**2 + 1/4*h**5 + 0 + 0*h + 1/4*h**c = 0.
-1, 0
Let v(w) be the first derivative of w**2 - 2 - 1/30*w**5 - 1/12*w**4 + 1/60*w**6 + 0*w + 1/3*w**3. Let i(s) be the second derivative of v(s). Factor i(u).
2*(u - 1)**2*(u + 1)
Let i(q) be the first derivative of q**5/4 - 25*q**4/12 + 5*q**3/3 + 20*q**2 - 45*q - 34. Let m(n) be the first derivative of i(n). Factor m(l).
5*(l - 4)*(l - 2)*(l + 1)
Suppose -3*i - 4 + 10 = 0. Suppose 3*z + 2*f = 10, -2*f + 12 = 6*z - 2*z. Find r such that -i*r**3 + 2*r**z + 25*r - 25*r = 0.
0, 1
Let n(z) be the first derivative of -3/4*z**4 - 6*z + 2*z**3 - 8 + 3/2*z**2. Determine f, given that n(f) = 0.
-1, 1, 2
Let m(z) be the first derivative of 8/15*z**3 - 9 + 1/10*z**4 + 4/5*z + z**2. Factor m(o).
2*(o + 1)**2*(o + 2)/5
Let i(s) be the first derivative of 1/6*s**3 - 3/40*s**5 - 6 - 1/8*s**4 + 1/30*s**6 - 9*s + 0*s**2. Let w(f) be the first derivative of i(f). Factor w(o).
o*(o - 2)*(o + 1)*(2*o - 1)/2
Let q(s) = -123*s - 8. Let k be q(-3). Factor -5*j**2 - k*j + 391*j - 1 + 1.
-5*j*(j - 6)
Let k(g) be the first derivative of 2*g**5/15 - 7*g**4/6 + 4*g**3 - 20*g**2/3 + 16*g/3 + 14. Factor k(l).
2*(l - 2)**3*(l - 1)/3
Let u be (-17 - (-916)/24) + -20. Determine a, given that -1/6*a**5 + 0*a - 3/2*a**2 - 5/2*a**3 + 0 - u*a**4 = 0.
-3, -1, 0
Let a be (-1 - 20/(-6))*656/2296. What is h in 1/3*h**3 - 1/3*h + 2/3 - a*h**2 = 0?
-1, 1, 2
Let k(z) be the first derivative of 0*z - 1/7*z**3 + 9/7*z**2 - 16. Factor k(x).
-3*x*(x - 6)/7
Suppose 10*z - 14*z = 0. Let t be (0 - -16)/2*(-51)/(-136). Factor z*h**t + 0*h + 3/4*h**4 - 1/4*h**5 - h**2 + 0.
-h**2*(h - 2)**2*(h + 1)/4
Let j(x) be the third derivative of x**7/735 - x**6/210 - x**5/210 + x**4/42 + 37*x**2. Determine d, given that j(d) = 0.
-1, 0, 1, 2
Let q(w) = -w**2 - 4*w + 1. Let r(i) = -11*i + 30*i + 1 - 20*i + 0. Suppose -2 + 5 = 3*v. Let x(p) = v*q(p) - 2*r(p). Factor x(u).
-(u + 1)**2
Let r(l) be the second derivative of 5*l**4/12 - 155*l**3/6 - 80*l**2 - 298*l. What is w in r(w) = 0?
-1, 32
Suppose 0 = -a + 7 - 4. Let 3*y**a - 16*y - 60 - 5*y**3 + 52 - 10*y**2 = 0. Calculate y.
-2, -1
Let u(i) = -6*i**3 + 6*i + 11. Let p = 11 - 17. Let v(d) = -d**3 + d + 2. Let k(q) = p*u(q) + 33*v(q). Factor k(f).
3*f*(f - 1)*(f + 1)
Let 16 + 13 - d**2 - 20*d - 29 - 27*d = 0. What is d?
-47, 0
Factor -1/2*s**3 + 5/2*s**2 + 0 + 0*s.
-s**2*(s - 5)/2
Let a(x) be the second derivative of x**4/18 + 13*x**3/27 - 10*x**2/9 + 42*x. Factor a(o).
2*(o + 5)*(3*o - 2)/9
Suppose 8*c**4 + 0 - 44/3*c**3 - 4/3*c**5 + 0*c + 8*c**2 = 0. Calculate c.
0, 1, 2, 3
Let t = -2213 - -2215. Factor 16/5 + 4/5*k**t + 4*k.
4*(k + 1)*(k + 4)/5
Let j be (28/(-21))/(5543/1851 + -3). Let i = j - 246. Suppose i*c**2 - 2/5*c**5 + 4/5*c**3 - 2/5*c - 2/5 - 2/5*c**4 = 0. Calculate c.
-1, 1
Let t = 56 - 53. Let v(o) be the first derivative of 0*o**2 - 1/2*o**4 + 1 - 1/3*o**6 - 4/5*o**5 + 0*o + 0*o**t. Factor v(r).
-2*r**3*(r + 1)**2
Let c = 22068/25795 - -6/3685. Factor -24/7*o - 4/7*o**2 + 16/7 + c*o**3.
2*(o - 2)*(o + 2)*(3*o - 2)/7
Let o be ((-54)/(-12))/(135/72). Suppose 69/5*y**2 + o - 21/5*y**3 - 12*y = 0. What is y?
2/7, 1, 2
Find z such that -62*z**3 - 2331/2*z**2 + 0 - 1369/3*z - 5/6*z**4 = 0.
-37, -2/5, 0
Suppose 5*j + 4 = 2*u, 22 = 3*u - 6*j + 16. Factor -2/5*h**5 - 2/5*h + 4/5*h**3 - 4/5*h**u + 2/5 + 2/5*h**4.
-2*(h - 1)**3*(h + 1)**2/5
Let p(o) be the second derivative of o**5/4 - 80*o**4/3 + 2560*o**3/3 + 5*o. Factor p(j).
5*j*(j - 32)**2
Let g(a) = a**3 + 5*a**2 + 5*a. Let f be g(-3). Solve -133*m**2 - 4*m**4 - 86*m**2 + f*m**5 + 168*m + 129*m**3 - 29*m**4 - 48 = 0 for m.
1, 4
Let a(y) be the third derivative of -y**8/112 + y**6/40 + 235*y**2. Find b, given that a(b) = 0.
-1, 0, 1
Let k(m) be the third derivative of -10609*m**5/100 + 103*m**4/5 - 8*m**3/5 + 236*m**2. Factor k(i).
-3*(103*i - 4)**2/5
Let f(l) be the second derivative of l**7/294 - 2*l**6/105 + 3*l**5/140 + l**4/21 - 2*l**3/21 + 57*l. Factor f(h).
h*(h - 2)**2*(h - 1)*(h + 1)/7
Let i = -10 + 16. Let v be (i/(-28))/(48/(-56)). Factor 1/4 + 3/4*z + 3/4*z**2 + v*z**3.
(z + 1)**3/4
Let b be 1*(-9 + (-88)/(-8)) - 6/8. Suppose 15/2 + b*u**2 - 35/4*u = 0. Calculate u.
1, 6
Suppose 4*u**4 + 2*u**2 - 2595*u + 2559*u + 36*u**3 - 72 + 66*u**2 = 0. What is u?
-6, -3, -1, 1
Let k(x) be the third derivative of x**5/480 + 17*x**4/96 + 289*x**3/48 + 77*x**2. Find a such that k(a) = 0.
-17
Let t = 57 + -102. Let j(k) = -9*k**4 + 5*k**3 + 9*k**2 - 9*k. Let b(d) = -100*d**4 + 55*d**3 + 100*d**2 - 100*d. Let m(y) = t*j(y) + 4*b(y). Factor m(c).
5*c*(c - 1)**2*(c + 1)
Let a be (-227)/454*2/(-3). Determine o so that 4/3*o**2 + 0 - a*o**3 - o = 0.
0, 1, 3
Factor 121 - 10*h - 6*h**2 + 70*h + 645 + 134 + 7*h**2.
(h + 30)**2
Let i(s) be the second derivative of s**7/63 + 11*s**6/45 + 47*s**5/30 + 97*s**4/18 + 32*s**3/3 + 12*s**2 - 72*s. Suppose i(x) = 0. Calculate x.
-3, -2, -1
Factor -28/5*i - 4/5*i**3 - 12/5 - 4*i**2.
-4*(i + 1)**2*(i + 3)/5
Let m be (2/20*-2)/((-540)/600). Factor -m*h**3 + 0 + 1/9*h**5 + 0*h**4 + 1/9*h + 0*h**2.
h*(h - 1)**2*(h + 1)**2/9
Let u(b) be the third derivative of 49*b**8/320 + 7*b**7/20 + 7*b**6/20 + b**5/5 + 11*b**4/24 + 10*b**2. Let z(k) be the second derivative of u(k). Factor z(c).
3*(7*c + 2)**3
Factor -15 - 12*j**2 - 57/2*j + 3/2*j**3.
3*(j - 10)*(j + 1)**2/2
Suppose 113 = 4*h - 147. Let s = h - 65. Solve -1/3*b**2 + 0 + s*b = 0 for b.
0
Let a = 25 - 18. Let n = a + -3. Factor -3*b**4 - 80*b**3 - 4*b**2 + 2*b**n + 76*b**3.
-b**2*(b + 2)**2
Let b(c) be the first derivative of -c**6/30 - c**5/3 + c**4/6 + 10*c**3/3 + c**2 + 15. Let l(v) be the second derivative of b(v). Fa