*4 + r. What is z in w(z) = 0?
-2, -1, 1
Suppose o + g + 7 = 0, o + 9 = -0*o - 2*g. Let i(l) = -l - 2. Let c be i(o). Factor 1/3*d**4 - 2/3*d**c + 0 - 1/3*d**2 + 2/3*d.
d*(d - 2)*(d - 1)*(d + 1)/3
Suppose 0 = 4*b - 2*b - 12. Suppose 2*m + 0*m + 2*z - b = 0, 2*m + 4*z = 8. Determine i, given that 0*i**2 + 4*i + 0*i**3 + 2*i + 2*i**3 + m + 6*i**2 = 0.
-1
Let u be 5*(-13)/(-130) - (-4 + 1). Factor 7/2*t + 1 - u*t**3 + 9/2*t**4 - 11/2*t**2.
(t - 1)**2*(t + 1)*(9*t + 2)/2
Let u(n) = 10*n**3 - 2*n**2 + n. Let z be u(1). Factor 0*s + 3*s + z*s**2 + 14*s**3 - 5*s**3 + 0*s + 3*s**4.
3*s*(s + 1)**3
Let s(o) = -5*o**2 + 2*o + 10. Let a(g) = -g**2 + g + 1. Suppose -x + 0 = -2. Suppose 0 = -x*b + 12. Let z(u) = b*a(u) - s(u). Solve z(t) = 0 for t.
2
Let l = -2844 - -8206/3. Let d = 110 + l. Solve 0 + d*r**2 - 4/3*r**4 + 2/3*r - 2/3*r**3 = 0 for r.
-1, -1/2, 0, 1
Find o, given that 33/2*o + 3/4*o**2 + 363/4 = 0.
-11
Let r(c) be the third derivative of -c**6/1620 + c**4/108 + c**3/2 + 2*c**2. Let k(a) be the first derivative of r(a). Let k(t) = 0. Calculate t.
-1, 1
Let f(l) be the second derivative of l**6/20 - 3*l**5/20 + l**3/2 - 3*l**2/4 + 39*l. Determine j, given that f(j) = 0.
-1, 1
Let x(z) = -2*z**3 - 2*z - 1. Let a be x(-1). Suppose -3*c - a*k + 6 = -k, c = 5*k - 15. Suppose c*w**3 - 5*w - w**3 + 6*w = 0. What is w?
-1, 0, 1
Solve 10 + 2*s**2 - 2*s - 11 - 3*s**2 = 0 for s.
-1
Let g(k) be the third derivative of -k**7/420 - k**6/180 - k**3/2 - 3*k**2. Let t(j) be the first derivative of g(j). Factor t(r).
-2*r**2*(r + 1)
Let r(n) be the first derivative of 1/25*n**5 - 1/10*n**2 - 2/15*n**3 - 1/30*n**6 + 1 + 1/10*n**4 + 1/5*n. Factor r(j).
-(j - 1)**3*(j + 1)**2/5
Let g(z) be the third derivative of z**7/42 - z**6/4 + 3*z**5/4 + 5*z**4/6 - 10*z**3 + 2*z**2 - 1. Factor g(h).
5*(h - 3)*(h - 2)**2*(h + 1)
Let l(r) be the third derivative of r**8/1176 - r**6/210 + r**4/84 + 26*r**2. Suppose l(f) = 0. Calculate f.
-1, 0, 1
Let d(i) be the second derivative of -i**6/120 + i**4/24 + i**2/2 - 6*i. Let v(o) be the first derivative of d(o). Determine k, given that v(k) = 0.
-1, 0, 1
Let t(d) be the second derivative of d**9/15120 - d**8/960 + d**7/140 - d**6/36 + d**5/15 - d**4/3 - 4*d. Let g(u) be the third derivative of t(u). Factor g(j).
(j - 2)**3*(j - 1)
Suppose 0*c = c. Let j be (c/2 - -2)*1. Solve -j*w - 108*w**4 + 4*w**2 + 41*w**3 + 4*w**2 + 68*w**5 - 5*w**5 - 2*w = 0.
-2/7, 0, 1/3, 2/3, 1
Suppose 0 = -h - 2*v + 13, -4*h - h - 2*v + 25 = 0. Suppose 2/7*t**5 + 0*t**2 - 2/7*t**4 + 0*t**h + 0*t + 0 = 0. Calculate t.
0, 1
Let t(a) be the second derivative of -3*a + 0*a**2 + 0*a**3 + 0 + 1/30*a**4. Let t(j) = 0. Calculate j.
0
Let b(z) be the second derivative of -1/3*z**3 + 1/10*z**5 + 0*z**4 + 4*z + 0 + 0*z**2. Suppose b(d) = 0. Calculate d.
-1, 0, 1
Let a be ((-21)/5 - -4)*-1. Let j(s) be the first derivative of -s**3 + 2 + 1/2*s**2 + 0*s + 3/4*s**4 - a*s**5. Solve j(u) = 0 for u.
0, 1
Let c(b) = -b**2 - 7*b + 4. Let v be c(-7). What is m in 10*m**2 - v*m**3 + 8 - 3*m**2 - 20*m + 9*m**2 = 0?
1, 2
Let d(j) be the first derivative of -2*j**3/3 + 2*j**2/5 + 6*j/5 - 6. Factor d(z).
-2*(z - 1)*(5*z + 3)/5
Let c(s) = s - 4. Suppose -1 = -4*i + 31. Let t be c(i). Factor -t*f**3 - 1 - 3*f**2 - 2*f**2 + 3*f**2 + 3*f**4 + 4*f.
(f - 1)**2*(f + 1)*(3*f - 1)
Let d(t) = t**4 - t**2 + 1. Let j(f) = 3*f**4 - 3*f**2 + 5. Let s(i) = 5*d(i) - j(i). Factor s(q).
2*q**2*(q - 1)*(q + 1)
Let u = -59 - -123/2. Let -9/4*t + 5/4*t**5 - 1/2 + 3*t**4 + t**3 - u*t**2 = 0. Calculate t.
-1, -2/5, 1
Let o(z) = 10*z**3 + 8*z**2 + 6*z - 8. Let g(r) = -5*r**2 + 13*r**2 - 1 - 7*r**2 + r + r**3. Let x(t) = -8*g(t) + o(t). Solve x(s) = 0.
-1, 0, 1
Suppose -1/8*l**2 + 1/8*l**3 + 1/8*l**4 + 0 - 1/8*l = 0. What is l?
-1, 0, 1
Suppose -7*x - 7*x = x. Let x*d + 2/7*d**4 - 2/7*d**3 - 2/7*d**2 + 2/7*d**5 + 0 = 0. What is d?
-1, 0, 1
Let z(g) be the second derivative of -g**9/6048 - g**8/1920 + g**7/630 + g**6/360 + g**4/6 + g. Let v(p) be the third derivative of z(p). Factor v(j).
-j*(j - 1)*(j + 2)*(5*j + 2)/2
Let z(f) be the first derivative of -f**8/5040 + f**7/5040 + f**6/1080 - f**5/720 - f**3 + 6. Let h(i) be the third derivative of z(i). What is o in h(o) = 0?
-1, 0, 1/2, 1
Let m(a) be the first derivative of 1/15*a**3 - 3/10*a**2 - 2 + 2/5*a. Factor m(y).
(y - 2)*(y - 1)/5
Let p(f) = 5*f**2 - f - 1. Let r be p(-1). Suppose -r*b = -25, -3*b - 15 = -n - 5*b. Solve 1 + 2*w + n*w**2 - 1 = 0.
-2/5, 0
Suppose -5*i = -2*q - 0*i + 27, -2*q - 23 = 5*i. Let m be (q - 20/12)*-3. Solve -1/2*a + 0 + 0*a**m + 1/2*a**3 = 0 for a.
-1, 0, 1
Let g(b) be the third derivative of -5*b**2 - 1/480*b**6 + 0*b + 1/120*b**5 + 0*b**4 + 0 + 0*b**3. Factor g(d).
-d**2*(d - 2)/4
Let l = 107 - 533/5. Factor 0*n + l*n**2 + 0 + 8/5*n**3.
2*n**2*(4*n + 1)/5
Let n(c) = -3*c**3 - 5*c**2 - 6*c - 4. Let f(v) = v**3 + v**2 + v + 1. Let t(h) = 4*f(h) + n(h). Factor t(p).
p*(p - 2)*(p + 1)
Let r(q) be the first derivative of -25*q**3/3 + 20*q**2 - 16*q + 5. What is j in r(j) = 0?
4/5
Factor 6/7*l - 4/7*l**2 + 4/7 - 6/7*l**3.
-2*(l - 1)*(l + 1)*(3*l + 2)/7
Let f be (-9)/(-27)*(1 - (-14)/4). Let s(r) = 2*r**3 - 2*r**2 - 2*r. Let g be s(2). Factor 0*o - f*o**2 + 0*o**3 + 3/4 + 3/4*o**g.
3*(o - 1)**2*(o + 1)**2/4
Suppose 4*p = -3*l + p - 9, 4*p + 16 = -2*l. Let u(r) be the third derivative of -1/540*r**6 - 1/108*r**4 + 0*r + 0 - l*r**2 + 0*r**3 + 1/135*r**5. Factor u(m).
-2*m*(m - 1)**2/9
Factor 5 - 1 - 4*n**2 - 29*n + 29*n.
-4*(n - 1)*(n + 1)
Factor -9*o**2 - 4*o**3 - 5*o**2 + 13*o**2.
-o**2*(4*o + 1)
Let h(y) = -y**3 + 6*y**2 + 0 - 3 + 0*y**3 - y + 2*y. Let x be h(6). Find j such that -2/3*j - 2/3*j**5 + 8/3*j**4 - 4*j**x + 8/3*j**2 + 0 = 0.
0, 1
Let f(k) = -4*k - 3. Let g be f(-2). Let j(h) be the third derivative of 1/120*h**g - 1/12*h**3 - h**2 + 0 + 0*h**4 + 0*h. Factor j(u).
(u - 1)*(u + 1)/2
Let o = -10/3 - -11/3. Factor 0*q + 0 + 1/3*q**2 - o*q**3.
-q**2*(q - 1)/3
Let o = 424/17 + -3461/119. Let u = -27/7 - o. Factor -2/7*j**4 + 0 + 2/7*j**3 - u*j + 2/7*j**2.
-2*j*(j - 1)**2*(j + 1)/7
Suppose 1 = -4*q - 11. Let h be (q/12)/(20/(-32)). Let 0*r**3 - 4/5*r**4 - h*r**5 + 2/5*r + 4/5*r**2 + 0 = 0. What is r?
-1, 0, 1
Let k = -2/493 + 996/2465. Factor -2/5*s**3 - 4/5 + 4/5*s**2 + k*s.
-2*(s - 2)*(s - 1)*(s + 1)/5
Let n = -109 + -4. Let i = n + 567/5. Solve -4/5*l**2 + 0 - 2/5*l - i*l**3 = 0 for l.
-1, 0
Let i(d) be the first derivative of -4*d**3/3 - 8*d**2/3 - 4*d/3 - 21. Factor i(l).
-4*(l + 1)*(3*l + 1)/3
Let a = -172/5 - -1033/30. Let b(x) be the second derivative of -4*x + 0*x**5 + 0*x**3 - a*x**4 + 0 + 0*x**2 + 1/75*x**6. Factor b(v).
2*v**2*(v - 1)*(v + 1)/5
Let t(o) be the third derivative of 5*o**8/336 - o**6/6 + o**5/6 + 5*o**4/8 - 5*o**3/3 + 11*o**2. Solve t(s) = 0 for s.
-2, -1, 1
Let v(m) = m**3 - m**2 + m + 1. Let s(r) = -r**4 - 5*r**3 - 2*r**2 + r - 15. Let w(u) = 4*s(u) + 44*v(u). Factor w(x).
-4*(x - 2)**2*(x - 1)**2
Let c(d) be the second derivative of 1/36*d**4 + 3*d + 1/18*d**3 + 0 + 0*d**2. Factor c(f).
f*(f + 1)/3
Let p(w) be the first derivative of 1 - 1/3*w**3 + 1/12*w**4 - 1/3*w + 1/2*w**2. Factor p(v).
(v - 1)**3/3
Let i(x) be the second derivative of -1/120*x**6 - 1/48*x**4 - 5*x + 0*x**2 + 0*x**3 - 1/40*x**5 + 0. Factor i(q).
-q**2*(q + 1)**2/4
Let c(q) = 3*q**3 + 11*q**2 - 3*q - 11. Let k(h) = -3*h**3 - 12*h**2 + 3*h + 12. Let s be 60/(-5)*1/2. Let g(j) = s*c(j) - 5*k(j). Factor g(y).
-3*(y - 1)*(y + 1)*(y + 2)
Let o(i) be the second derivative of 0 - 3*i - 1/18*i**4 + 0*i**2 - 1/9*i**3. Determine b, given that o(b) = 0.
-1, 0
Let o(g) = 29*g**3 - 140*g**2 - 64*g - 4. Let p(n) = -320*n**3 + 1540*n**2 + 705*n + 45. Let m(u) = 45*o(u) + 4*p(u). Let m(k) = 0. Calculate k.
-2/5, 0, 6
Suppose l = 2*g - 4, -6*g + 11*g - 10 = 2*l. Suppose h**3 - 2*h**3 - h**2 - h**g + 0*h**2 = 0. Calculate h.
-2, 0
Let z(x) be the third derivative of x**8/48 + 8*x**7/105 + x**6/30 - 7*x**5/30 - 11*x**4/24 - x**3/3 + 5*x**2. Suppose z(t) = 0. Calculate t.
-1, -2/7, 1
Let o(l) be the second derivative of l**6/720 - l**3/2 + 9*l. Let f(n) be the second derivative of o(n). Factor f(c).
c**2/2
Let b(c) be the third derivative of -c**8/20160 - c**7/1680 - c**6/360 + c**5/20 + 6*c**2. Let u(l) be the third derivative of b(l). Fac