tor j(v).
4*v**3
Let l = 4 - 0. Let v be (-28)/(-24)*l/7. Factor -2/3*f**4 - 2/3*f + 2/3*f**3 + v*f**2 + 0.
-2*f*(f - 1)**2*(f + 1)/3
Suppose 0 = 6*g - g - 15. Factor -16 + 3*z**3 - 3*z**3 - 4*z**g + 2*z**3 - 24*z - 12*z**2.
-2*(z + 2)**3
Solve 3/2 + 3*n**3 + 3*n**2 + 3/2*n**5 - 9/2*n - 9/2*n**4 = 0 for n.
-1, 1
Let f(w) be the second derivative of w**4/48 - w**2/8 + 5*w. Find r, given that f(r) = 0.
-1, 1
Suppose -6*f**2 + 5*f**2 - 5*f + 2*f - 2*f**2 = 0. What is f?
-1, 0
Let p be 4/22 - 13*(-2)/99. Let 6*o**4 + 0 + 8*o**3 + 10/3*o**2 + p*o = 0. Calculate o.
-2/3, -1/3, 0
Let v be (15/2)/(6/(-8)). Let a be -2*2*5/v. Factor 1/3*y**a - 2/3*y + 0.
y*(y - 2)/3
Let g = 8 - 3. Suppose 4*o = g*o - 2. Factor o*v**2 - 3*v**2 + 2*v**2 - 2*v.
v*(v - 2)
Let x be 1*(3 + -1 - -1). Factor -2 - x*t**2 + 3*t**2 - 6*t - 3*t**2 - 1.
-3*(t + 1)**2
Factor 347*w**3 + 1 + 3*w**2 - 2*w**4 - 5*w - 2*w**4 - 342*w**3 + 0*w**2.
-(w - 1)**2*(w + 1)*(4*w - 1)
Let h be 5/3 - -2*2/(-12). Let o = 45 - 133/3. Factor -o*q**2 + h*q - 2/3.
-2*(q - 1)**2/3
Suppose 0 = 2*s + 4*s - 36. Suppose 0 = -2*h + 6*h - 12. Determine a, given that -10*a**5 - 4*a + 22*a**2 + 40*a**4 - 8*a**3 - s*a**4 - 34*a**h = 0.
0, 2/5, 1
Determine h so that -5 - 7/2*h - 1/2*h**2 = 0.
-5, -2
Suppose -a + a**2 - 4*a**4 + 2*a**5 - a**3 + 15*a**2 - 7*a - 5*a**3 = 0. What is a?
-2, 0, 1, 2
Factor 10/7*w**3 + 0 - 2/7*w**2 - 18/7*w**5 - 6/7*w**4 + 0*w.
-2*w**2*(w + 1)*(3*w - 1)**2/7
Let v = 10 - -1. Let j = v - 9. Solve 3/2*x**3 + 0 + 0*x - 5/2*x**4 + x**j = 0 for x.
-2/5, 0, 1
Let h = 79/203 + -3/29. Let i = -2586/7 - -370. Factor h + i*p + 2/7*p**2.
2*(p + 1)**2/7
Find j such that 0 + 2/3*j**4 + 0*j - 1/3*j**3 - 2/3*j**2 + 1/3*j**5 = 0.
-2, -1, 0, 1
Suppose -95*x**2 - 89*x**2 - 3*x**4 + 6*x**3 + 181*x**2 = 0. What is x?
0, 1
Factor -10*o + 0*o**2 + 8*o**2 + 2*o**3 + 54 - 54.
2*o*(o - 1)*(o + 5)
Let u = 961/3 + -320. Determine t, given that 4/3*t**2 + 0*t + 0*t**3 + 0 + u*t**5 - t**4 = 0.
-1, 0, 2
Let r(p) = 3*p**2 - 5*p**2 + p**2 + 3*p**2. Let m be r(-1). Factor 0*q**2 + m*q**2 + q**2 - q**2.
2*q**2
Suppose 0 = 3*b + 30 - 36. Solve 2/3*r**4 + 0*r**b + 0*r + 0 - 1/3*r**3 - 1/3*r**5 = 0.
0, 1
Suppose 12*x - 34*x = 0. Factor -1/7*j**4 + x - 1/7*j**3 + 0*j + 1/7*j**2 + 1/7*j**5.
j**2*(j - 1)**2*(j + 1)/7
Suppose -2*r**3 - 4*r**2 + 3*r**2 + 3*r**4 + 3*r**4 - 3*r**2 = 0. What is r?
-2/3, 0, 1
Let a = 0 - -2. Let b be (-2)/12*-1*a. Suppose -b*l**3 - 1/3*l**2 + 1/3*l**4 + 1/3*l + 0 = 0. Calculate l.
-1, 0, 1
Let l be (-10)/(-3)*18/12. Find f such that f + 0*f + l*f - 2*f + 6*f**2 = 0.
-2/3, 0
Let v be 1056/180 + (-2)/(-15). Let q(s) = -s + 8. Let h be q(v). Solve 1 + 7/2*n**h + 9/2*n = 0 for n.
-1, -2/7
Let u(b) = b**2 + 3*b. Let s(p) = 2*p**2 + 7*p. Let v(m) = m + 14. Let q be v(-9). Let l(k) = q*u(k) - 2*s(k). Solve l(i) = 0.
-1, 0
Suppose -3*j - 5*k = -4*k - 49, 0 = 4*j - 3*k - 87. Suppose -p = -5*v + j + 6, -9 = -v - 4*p. Factor 5*l**4 + 10*l**3 + v + 5*l - 4 + l**5 + 0*l**5 + 10*l**2.
(l + 1)**5
Factor 0*g**4 - 4/7*g**2 + 0 - 6/7*g**3 + 2/7*g**5 + 0*g.
2*g**2*(g - 2)*(g + 1)**2/7
Let x(j) = -6*j + 3. Let i be x(-4). Let l be (i/(-45))/((-1)/5). Factor -2*t**2 + 0*t**3 - 3*t**l - 12 + 3*t**2 + 8*t**2.
-3*(t - 2)**2*(t + 1)
Let s(w) be the third derivative of -w**8/20160 - w**7/2520 - w**6/720 + w**5/20 + w**2. Let o(h) be the third derivative of s(h). Factor o(q).
-(q + 1)**2
Let l be (8/70)/((-153)/(-45) - 3). Factor 0 + l*i**2 - 2/7*i.
2*i*(i - 1)/7
Let a(z) = z**3 - 7*z**2 + 7*z - 4. Let f be a(6). Suppose -x + 7 = -0*x + u, 4*u - 16 = f*x. Factor y**4 + y**4 - 2*y**3 - y**3 - 2*y**2 + x*y**5 + y**3.
2*y**2*(y - 1)*(y + 1)**2
Let p(v) = 2*v**3 + 10*v**2 + 4*v - 18. Let w(l) = -l. Let b(d) = p(d) - 2*w(d). What is o in b(o) = 0?
-3, 1
Let q(b) be the third derivative of b**8/448 + 11*b**7/140 + 121*b**6/160 + 31*b**2. Factor q(n).
3*n**3*(n + 11)**2/4
Let w(b) be the third derivative of b**8/1176 - 2*b**7/49 + 15*b**6/28 + b**2 + 15*b. Factor w(z).
2*z**3*(z - 15)**2/7
Let w = 36 - 61. Let b = -22 - w. Factor 1/2*v + 1/4 - 1/2*v**b + 0*v**2 - 1/4*v**4.
-(v - 1)*(v + 1)**3/4
Let v(m) be the first derivative of -14*m**3/27 - 16*m**2/9 - 8*m/9 + 4. Let v(x) = 0. Calculate x.
-2, -2/7
Let k(r) be the first derivative of 1/6*r**3 + 3 + 1/2*r**2 + 1/2*r. Solve k(o) = 0 for o.
-1
Factor 0*t + 1/4*t**3 + 0 + 7/4*t**2.
t**2*(t + 7)/4
Let z(t) be the second derivative of 3*t**6/10 - 21*t**5/20 + 5*t**4/4 - t**3/2 - 4*t. Find d such that z(d) = 0.
0, 1/3, 1
Suppose -2*j - j = 9. Let x be 2/(-3)*(j + 0). Suppose -1/4 + 1/4*f**x + f - f**3 = 0. Calculate f.
-1, 1/4, 1
Let o = -18 - -10. Let u(a) = a**3 + 8*a**2 + a + 10. Let c be u(o). Find k such that 3/5*k**4 + 0 - 4/5*k**5 + k**3 - 3/5*k**c - 1/5*k = 0.
-1, -1/4, 0, 1
Suppose -4*t = -2*f - f + 7, -5 = -f. Let 2*y**2 - 3*y + 7*y**t - 3*y**3 - 6 - 3*y**4 + 6*y = 0. What is y?
-2, -1, 1
Determine s so that 9/2*s**2 + 3/4 + 3/4*s**4 - 3*s**3 - 3*s = 0.
1
Let p(t) be the first derivative of -t**3/3 - 10. Factor p(b).
-b**2
Let x be (2/6)/(17/34). Let j = -46 - -140/3. Factor 0*i - x*i**5 - j*i**2 + 0 - 2*i**4 - 2*i**3.
-2*i**2*(i + 1)**3/3
Suppose 2*x + 2*z = 14, -x + z + 10 = 3*z. Determine u so that -6*u + u + 4*u**3 + 4*u**2 - 4*u**x + u = 0.
-1, 0, 1
Let c(l) be the first derivative of 2/45*l**5 + 1/9*l**4 - 4/27*l**3 - 2 - 1/9*l**2 + 2/9*l - 1/27*l**6. Factor c(u).
-2*(u - 1)**3*(u + 1)**2/9
Let p(k) be the first derivative of k**5/120 + k**4/24 + k**3/12 + k**2/12 - 7*k + 5. Let v(l) be the first derivative of p(l). Factor v(f).
(f + 1)**3/6
Factor 5*v**5 - v**2 - 19*v**2 - 5*v + 30*v**2 - 10*v**4.
5*v*(v - 1)**3*(v + 1)
Let n be 4/(-18) + -35*(-4)/90. Let i(u) be the third derivative of 49/30*u**5 - 7/3*u**4 + 0 + 0*u + n*u**3 - u**2. Determine b so that i(b) = 0.
2/7
Let p(k) be the second derivative of 2/45*k**5 + 0 - 1/9*k**3 + k + 1/72*k**6 + k**2 + 1/72*k**4. Let m(b) be the first derivative of p(b). Factor m(t).
(t + 1)**2*(5*t - 2)/3
Suppose 0 = -2*n + n. Suppose n = v - 3*v. Factor 1 - 2 - 3*y**2 + v*y**2 - 3*y - y**3.
-(y + 1)**3
Let w(j) be the second derivative of j**4/3 - 4*j**3/3 + 2*j**2 - 14*j. Factor w(p).
4*(p - 1)**2
Let n = 3 + -1. Factor -3/2*o**3 + 3/2*o - 1 + o**n.
-(o - 1)*(o + 1)*(3*o - 2)/2
Let f = 6 + -6. Find g, given that 3*g**4 - 2*g**4 - 4*g**3 - g**2 + f*g**2 + 3*g**3 + g = 0.
-1, 0, 1
Suppose -4*c - 3*v - 37 = 0, -v + 0*v + 18 = -3*c. Let k(i) = -i**3 - 6*i**2 + 7*i. Let x be k(c). Factor -2/3*y + 2/3*y**2 + x.
2*y*(y - 1)/3
Let x(n) be the second derivative of -n**7/3780 + n**6/360 - n**5/90 + n**4/12 + 8*n. Let t(z) be the third derivative of x(z). Factor t(i).
-2*(i - 2)*(i - 1)/3
Let h(g) be the first derivative of g**4/4 + 2*g**3/3 - 3*g**2/2 - 8. Determine r, given that h(r) = 0.
-3, 0, 1
Let d = -88 + 90. Factor -4/7*g**3 + 2/7 + 6/7*g - 6/7*g**4 + 4/7*g**d - 2/7*g**5.
-2*(g - 1)*(g + 1)**4/7
Suppose -20 = -5*a + 10. Find l, given that -10*l**4 - 11 + 8*l + 0*l**3 - 14*l**3 + 18*l**2 + 3 + a*l**5 = 0.
-1, 2/3, 1, 2
Determine k so that 95*k**2 + 1/2*k**5 + 49/2 + 161/2*k + 17/2*k**4 + 47*k**3 = 0.
-7, -1
Let v be 92/13 - 6*1. Factor 18/13*j**3 - 4/13*j - v*j**2 + 0.
2*j*(j - 1)*(9*j + 2)/13
Let h(g) be the second derivative of -g**5/30 - 2*g**4/9 - 5*g**3/9 - 2*g**2/3 + 3*g. Factor h(b).
-2*(b + 1)**2*(b + 2)/3
Let l(k) = k**3 + k - 1. Let u(z) = -z**3 + 24*z**2 + 43*z + 37. Let r(v) = 5*l(v) + u(v). Factor r(s).
4*(s + 2)**3
Let u = -112 - -75. Let t be u/(-6) - 9/54. What is g in g + 6 - g**3 - t + 0*g = 0?
-1, 0, 1
Let a(f) be the third derivative of -f**5/12 - 5*f**4/12 + 5*f**3/2 - 26*f**2. Factor a(k).
-5*(k - 1)*(k + 3)
Suppose 1/4*q**2 - q + 1 = 0. Calculate q.
2
Let o = -24 + 6. Let l be 2/(-6) + (-6)/o. Determine h so that -1/3*h + 0*h**4 + 0 + l*h**2 + 2/3*h**3 - 1/3*h**5 = 0.
-1, 0, 1
What is p in -4/3*p**3 + 4/3*p + 0*p**2 + 2/3*p**4 - 2/3 = 0?
-1, 1
Let c(p) = p**3 - p**2 - 3*p - 7. Let w be c(3). Factor -2/5*h**3 - 8/5 + 0*h + 6/5*h**w.
-2*(h - 2)**2*(h + 1)/5
Factor -2/3*r + 4/9 + 2/9*r**3 + 0*r**2.
2*(r - 1)**2*(r + 2)/9
Suppose 4*t = j + 8, 0 = -5*t + 3*j - 2*j + 10. Let v be 1 + 1 + (11 - 11). What is m in -m + m**t - m + m**v = 0?
0, 1
Suppose -21*v - 9 = -24*v. Let n(r) be the second derivative of 0*r**2 - 