 = 0. Calculate h.
-1, 0, 1
Let w be (2 - 1) + 26/(-6) + 4. Suppose 0*q + 0*q**2 + 0 - 5/3*q**5 - w*q**3 + 7/3*q**4 = 0. Calculate q.
0, 2/5, 1
Factor 19*l**3 - 2 + 5*l**4 + 15*l**2 - 26*l + 6*l + l**3 - 18.
5*(l - 1)*(l + 1)*(l + 2)**2
Let l(y) be the second derivative of 1/130*y**5 - 1/195*y**6 - 1/39*y**3 + 1/78*y**4 + 0 + 0*y**2 + 2*y. Factor l(q).
-2*q*(q - 1)**2*(q + 1)/13
Determine j, given that -4*j + 22*j**2 + 12*j**2 - 38*j**2 = 0.
-1, 0
Factor -7 - 4*o**2 - 5 + 0 - 16*o.
-4*(o + 1)*(o + 3)
Let h be (-68)/(-12) - (-2)/6. Find i, given that 2*i**4 + 4*i**4 - h*i**2 + 7*i**5 - 2*i**5 - 2*i**5 - 3*i = 0.
-1, 0, 1
Let o be (-4)/6*9/(-2). Let v be 0/(1/o*3). Factor v + 1/4*n**3 + 1/4*n**4 - 1/4*n - 1/4*n**2.
n*(n - 1)*(n + 1)**2/4
Let g(o) be the third derivative of -o**6/20 - 11*o**5/60 - o**4/12 + o**2. Let d(h) = h**2. Let r(s) = 3*d(s) + g(s). Factor r(p).
-2*p*(p + 1)*(3*p + 1)
Let o(t) be the second derivative of t**7/1260 - t**6/360 - t**4/6 + t. Let x(z) be the third derivative of o(z). Find k, given that x(k) = 0.
0, 1
Let d(n) be the second derivative of 0*n**2 - 4/3*n**4 - 8*n - 10/7*n**7 + 22/15*n**6 + 0 + 0*n**3 + 8/5*n**5. Solve d(b) = 0.
-2/3, 0, 2/5, 1
Let n(r) be the third derivative of -r**6/40 - r**5/10 + r**4/8 + r**3 + 26*r**2. Factor n(i).
-3*(i - 1)*(i + 1)*(i + 2)
Let m(w) be the first derivative of 1/13*w**2 - 2/39*w**3 + 4/13*w - 1. Factor m(t).
-2*(t - 2)*(t + 1)/13
Let 1/2*c**3 + 1/2*c**2 + 0 - 1/2*c**4 - 1/2*c = 0. What is c?
-1, 0, 1
Suppose -11 = -0*h + h. Let c = 16 + h. Determine a so that 0 + 4/5*a**3 - 2/5*a + 0*a**4 - 2/5*a**c + 0*a**2 = 0.
-1, 0, 1
Factor -16/3*u + 0 + 4/3*u**2 + 2/3*u**3.
2*u*(u - 2)*(u + 4)/3
Let b(k) = k**3 - k. Let r(h) = 2 - 2*h - 4*h**3 - 2*h**2 - h + 7*h. Let w(t) = -2*b(t) - r(t). Find o such that w(o) = 0.
-1, 1
Suppose 157 = 50*z - 43. Factor 19/3*o**3 - 28/3*o + 7/3*o**z + 8/3 - 2*o**2.
(o - 1)*(o + 2)**2*(7*o - 2)/3
Suppose -5*v + 11 = 3*r, 3*v = 3*r - v - 2. Let -3*i + 12 - 4*i**2 + i**r - 6 = 0. Calculate i.
-2, 1
What is u in 0*u + 0 - 2/5*u**4 - 8/5*u**3 - 8/5*u**2 = 0?
-2, 0
Suppose 2*b - 5*b - 3*m = -6, 4*b - 17 = 5*m. Let h be b/(1*-9)*-6. Find d such that d**5 - h*d**3 + d**5 + 0*d**5 = 0.
-1, 0, 1
Let d(o) be the first derivative of -8/9*o**3 - 2 + 0*o**2 + 14/3*o**4 - 98/15*o**5 + 0*o. Solve d(h) = 0 for h.
0, 2/7
Let p(a) be the third derivative of -a**5/270 - a**4/12 + 10*a**3/27 + 21*a**2. Determine k, given that p(k) = 0.
-10, 1
Let d(g) = g - 2. Let y be d(4). Suppose u**3 - y*u**2 - 5*u + 2*u**4 + 5*u**2 + 2 - 3*u**4 = 0. What is u?
-2, 1
Let k = 190 + -187. Find w such that 1/4*w - 5/4*w**k + w**5 - 3/4*w**2 + 0 + 3/4*w**4 = 0.
-1, 0, 1/4, 1
Let a(x) = -x**4 - x**3 - 3*x**2 + x. Let j be (2 + 8/(-6))*3. Let q(p) = -p**4 - 3*p**2 + 2*p. Let n(b) = j*q(b) - 3*a(b). Find m, given that n(m) = 0.
-1, 0
Let g(d) be the second derivative of 1/18*d**4 + 0*d**2 + 4*d + 1/30*d**5 + 0*d**3 + 0. Factor g(t).
2*t**2*(t + 1)/3
Suppose 6 - 6 = m. Let r(l) be the third derivative of 0*l + 0 + 1/180*l**6 + 3*l**2 + 0*l**5 + m*l**3 - 1/36*l**4. Suppose r(a) = 0. What is a?
-1, 0, 1
Suppose 0*p = 5*p + 35. Let s = 9 + p. Factor -13*r**s - 16*r**3 - 2*r**4 + 2*r**2 - 2*r - 5*r**4.
-r*(r + 1)**2*(7*r + 2)
Let w(v) be the second derivative of 1/8*v**4 - 6*v + 0 + 3/4*v**2 - 1/2*v**3. Factor w(n).
3*(n - 1)**2/2
Let i(g) = -96*g**4 - 124*g**3 + 60*g**2 + 120*g + 32. Let b(o) = -97*o**4 - 123*o**3 + 61*o**2 + 120*o + 33. Let h(w) = 4*b(w) - 3*i(w). What is n in h(n) = 0?
-1, -3/5, 1
Let q(z) = 6 + 5*z - 7 - 2*z. Let v be q(2). Factor -3 + v*f**4 - 2*f**3 + 3 - f**4 - 2*f**2.
2*f**2*(f - 1)*(2*f + 1)
Let l(g) be the first derivative of -1/3*g**3 - 5 + 0*g + 1/2*g**2 - 1/4*g**4 + 1/5*g**5. Factor l(x).
x*(x - 1)**2*(x + 1)
Let o = -4 + 8. Factor 6*k**3 + 2*k**o - 2*k**3 - 6*k + 2*k - 2 + 0.
2*(k - 1)*(k + 1)**3
Let n(x) be the third derivative of -x**10/1209600 + x**8/53760 - x**7/20160 - x**5/10 + 8*x**2. Let l(c) be the third derivative of n(c). Factor l(v).
-v*(v - 1)**2*(v + 2)/8
Suppose 2*l - 4 = 5*m - 3, -4 = -3*l + 5*m. Let x be l - (1*-2)/1. Factor 2*o**4 - x*o**2 + 7*o**2 - 4*o**3 + 0*o**2.
2*o**2*(o - 1)**2
Let i = 233/51 - 72/17. Factor -i*y**4 + 0 - 1/3*y**5 + 1/3*y**2 + 1/3*y**3 + 0*y.
-y**2*(y - 1)*(y + 1)**2/3
Let w(a) be the second derivative of a**4/18 - 4*a**3/9 + a**2 - 25*a. Factor w(n).
2*(n - 3)*(n - 1)/3
Let n be (-99)/(-54) + (-15)/9. Factor -1/3*f + 0 + n*f**2.
f*(f - 2)/6
Let f(r) be the third derivative of -r**6/1200 + r**4/60 - 14*r**2. Factor f(h).
-h*(h - 2)*(h + 2)/10
Let c(p) be the first derivative of 2/15*p**3 - 2 + 0*p + 0*p**2 + 1/15*p**6 - 2/25*p**5 - 1/10*p**4. Factor c(d).
2*d**2*(d - 1)**2*(d + 1)/5
Let a be 1/(-15) + (-38)/(-95). Let n(y) be the first derivative of 1/3*y**2 + 1/9*y**3 - 2 + a*y. Solve n(j) = 0.
-1
Let a(t) be the second derivative of -t**4/150 + 4*t**3/75 - 3*t**2/25 + 23*t. Factor a(v).
-2*(v - 3)*(v - 1)/25
Suppose -y = 4*y + y. Suppose -1/3*l + 0*l**2 + 0*l**4 - 1/3*l**5 + 2/3*l**3 + y = 0. What is l?
-1, 0, 1
Let q(t) be the second derivative of -t**4/20 - t**3/10 + 3*t**2/5 - 13*t. Suppose q(p) = 0. Calculate p.
-2, 1
Let k be (-4)/(-3)*6/4. Factor 0 - 2/3*v - k*v**2.
-2*v*(3*v + 1)/3
Let n(j) be the third derivative of j**8/168 - 8*j**7/105 + 4*j**6/15 + 7*j**2. What is c in n(c) = 0?
0, 4
Let u(q) be the third derivative of 0 + 0*q**3 + 0*q**5 + 0*q + 1/60*q**6 + 0*q**7 - 1/336*q**8 - 1/24*q**4 - 4*q**2. Find p, given that u(p) = 0.
-1, 0, 1
Let z = -71 + 357/5. Factor 0*r**2 - z*r**3 - 1/5 + 2/5*r + 1/5*r**4.
(r - 1)**3*(r + 1)/5
Let r(y) be the third derivative of -y**9/7560 + y**7/1260 + y**4/6 + 2*y**2. Let c(p) be the second derivative of r(p). Factor c(k).
-2*k**2*(k - 1)*(k + 1)
Suppose 0*c**3 - 52*c**3 + 8 + 32*c**2 - 80*c**4 + 40*c**2 + 52*c = 0. What is c?
-1, -2/5, -1/4, 1
Let i(y) be the third derivative of -y**6/60 + y**5/15 - y**4/12 + 6*y**2. Factor i(d).
-2*d*(d - 1)**2
Let 24/5*l + 0 - 18/5*l**3 - 3/5*l**5 + 3*l**4 - 12/5*l**2 = 0. What is l?
-1, 0, 2
Factor 3/4*u**2 + 27/4 - 9/2*u.
3*(u - 3)**2/4
Factor 0*p**4 + 0*p - 1/3*p**3 + 1/3*p**5 + 0 + 0*p**2.
p**3*(p - 1)*(p + 1)/3
Let l be ((-12)/(-9))/4*18. Factor 6*q**3 - 1 + l + 18*q**2 + 6*q**3 + 3*q**4 + 12*q - 2.
3*(q + 1)**4
Let f(j) be the second derivative of j**4/12 + j**3/6 + 4*j. Let x(r) = -7*r**2 - 9*r + 6. Let g(q) = 5*f(q) + x(q). Suppose g(d) = 0. Calculate d.
-3, 1
Suppose -n + 5 - 29 = 0. Let s be (n/9)/(-4)*6. Factor 4*f**3 - 3*f**2 - f - 1 + s*f - 3*f**3.
(f - 1)**3
Suppose 5*l + 5*w - 40 = 0, 29*l + 6 = 26*l + 3*w. Factor 0*i + 3/4*i**l - 3/4*i**4 + 0 + 1/4*i**5 - 1/4*i**2.
i**2*(i - 1)**3/4
Let y(u) = -2. Let d(m) = 6. Let l(h) = 2*d(h) + 7*y(h). Let n(w) = w**2 + w. Let x(t) = l(t) + n(t). Suppose x(o) = 0. What is o?
-2, 1
Let w = -1253/4 + 315. Factor 1/2 - w*y + 5/4*y**2.
(y - 1)*(5*y - 2)/4
Factor 4/3*x**2 + 0 - 2/3*x - 2/3*x**3.
-2*x*(x - 1)**2/3
Let w be (0 + -5)*(-4)/(-5). Let x be (-6 - -2)*1/w. Factor 3*l**2 - 4*l + 5 + x + 13*l.
3*(l + 1)*(l + 2)
Factor m**2 - 2 + 4*m**2 + 3 + 4 - 10*m.
5*(m - 1)**2
Let t(q) be the third derivative of -q**6/120 + q**5/10 - q**4/3 + 12*q**2. Factor t(j).
-j*(j - 4)*(j - 2)
Let p(q) be the third derivative of -q**7/2940 + q**6/1260 + 5*q**3/6 + q**2. Let c(d) be the first derivative of p(d). Solve c(k) = 0 for k.
0, 1
Suppose 0*y - 3*z = y - 11, 3*y + 5*z - 25 = 0. Suppose -4*a + 13 = 5*u, 0*a - 3*u - 3 = -3*a. Solve -3*n**2 + a*n**4 - n**3 + n - n**4 - y + 6 + 1 = 0.
-1, 1, 2
Let d = -102 - -53. Let l be (-28)/d*14/12. Factor l*w**3 - 2/3*w**2 + 0 + 0*w - 2/3*w**5 + 2/3*w**4.
-2*w**2*(w - 1)**2*(w + 1)/3
Let c(i) be the third derivative of i**8/1512 - i**7/315 + 2*i**5/135 - 16*i**2. Solve c(f) = 0.
-1, 0, 2
Let d be 12/(-18)*-18*2/20. Let -d*k + 2/5*k**2 + 4/5 = 0. Calculate k.
1, 2
Factor 12*y - 3*y**2 + 0*y**3 - 8*y - y**3 - 6*y.
-y*(y + 1)*(y + 2)
Let z be 6/(-16)*(-26)/39. Factor -1/4*p**3 + 0 + 0*p**2 + z*p.
-p*(p - 1)*(p + 1)/4
Let c(q) be the third derivative of -q**6/15 - q**5/10 + q**4/12 - 5*q**2. Factor c(v).
-2*v*(v + 1)*(4*v - 1)
Let q = 3 + 0. Let j(c) be the first derivative of -1 + 0*c**2 + 0*c + 1/8*c**4 - 1/6*c**q. Factor j(b).
b**2*(b - 1)/2
Let c(r) be the third deri