*2 = 0. Calculate o.
-2, -1, 1
Let m(o) = -o + 13. Let a be m(-6). Solve 15*v**3 - 13*v**3 + a*v**3 + 6*v**2 = 0.
-2/7, 0
Factor 4/5 + 2*f + 4/5*f**2.
2*(f + 2)*(2*f + 1)/5
Let x(o) be the third derivative of -1/1176*o**8 - 4*o**2 + 0 - 1/140*o**6 + 1/245*o**7 + 0*o**4 + 0*o + 1/210*o**5 + 0*o**3. Factor x(f).
-2*f**2*(f - 1)**3/7
Determine j so that -12 + 5*j**2 + 3*j**3 - 2*j**3 + 4*j**2 + 2*j**3 = 0.
-2, 1
Let r(s) = 5*s**2. Let b be r(1). Suppose 2 = -j + b. Suppose 2*i**4 + 0*i - 2*i**3 - 2*i**2 - j*i + 5*i = 0. Calculate i.
-1, 0, 1
Determine r so that -1/6*r + 1/6*r**3 - 1/2*r**2 + 1/3 + 1/6*r**4 = 0.
-2, -1, 1
Suppose k - 3 = -0. Solve -4 + u**2 + 5*u + k*u - 5*u**2 = 0.
1
Let t be (6/8)/((-3)/(-12)). Factor -2*y - 1/3 - t*y**2.
-(3*y + 1)**2/3
Let k(p) be the second derivative of -p**4/12 + p**3/12 + p**2/4 + 3*p. What is s in k(s) = 0?
-1/2, 1
Let k(j) be the first derivative of 3 + j - 1/70*j**5 + 1/14*j**4 - 2/21*j**3 + 0*j**2. Let x(a) be the first derivative of k(a). Factor x(n).
-2*n*(n - 2)*(n - 1)/7
Let x be (-1)/((-7)/((-21)/(-12))). Factor 1/2*q**4 - 1/2*q**2 - 1/4*q + x*q**5 + 0 + 0*q**3.
q*(q - 1)*(q + 1)**3/4
Let f be (-1 + 0)/(-3 + 4). Let l = f + 3. Factor 0*j + 1/5*j**l - 1/5.
(j - 1)*(j + 1)/5
Let w = 6 + -3. Let o(z) = -z**3 + z**2 + 3*z - 2. Let h be o(2). Factor 0*i**w - 3*i**2 + h*i**3 - 3*i - i**3 - 1.
-(i + 1)**3
Let z(s) = s**2 - 11*s + 4. Let d(o) = -12*o**2 + 120*o - 44. Let w(r) = -3*d(r) - 32*z(r). Find f such that w(f) = 0.
1
Let c(o) be the second derivative of o**4/14 + o**3/21 - 11*o. Factor c(v).
2*v*(3*v + 1)/7
Solve 82*k**2 - 5*k**3 - 72 + 78*k**2 + 12*k**3 + 21*k**3 + 204*k = 0.
-3, 2/7
Let x be -3*(4 + 56/(-12)). Factor -x - 1 + 9 - 9*t + 3*t**2.
3*(t - 2)*(t - 1)
Let k(x) be the third derivative of x**6/105 + x**5/210 - x**4/21 - x**3/21 + 8*x**2. Factor k(p).
2*(p - 1)*(p + 1)*(4*p + 1)/7
Let d(z) be the second derivative of z**8/5040 - z**7/2520 - z**6/1080 + z**5/360 - 5*z**3/6 - 3*z. Let w(b) be the second derivative of d(b). Factor w(s).
s*(s - 1)**2*(s + 1)/3
Suppose 4*t - 3 = 1. Let a = t + 3. Solve 1 + 4*p + 6*p**2 + a*p**3 + p - p + p**4 = 0.
-1
Factor -4*g - 4*g**3 - 28*g**4 - 48*g**5 + 4*g - g**5.
-g**3*(7*g + 2)**2
Let z(n) be the second derivative of n**4/18 + 2*n**3/9 - 9*n. Factor z(w).
2*w*(w + 2)/3
Let t(w) be the first derivative of -w**7/630 + w**6/360 + w**5/90 - w**2/2 + 1. Let r(l) be the second derivative of t(l). Factor r(m).
-m**2*(m - 2)*(m + 1)/3
Factor -3*b**2 - 10*b**3 + 10*b**3 - 3*b**3.
-3*b**2*(b + 1)
Suppose -2*u + 18 = u + 4*s, -4*u - 1 = -3*s. What is y in -4/5 - 2*y**u + 14/5*y = 0?
2/5, 1
Let b = -18/47 - -878/329. Solve b*f**3 - 2/7*f**2 + 0 + 0*f - 32/7*f**4 = 0.
0, 1/4
Let z(o) be the second derivative of o**4/28 - 3*o**2/14 + 3*o. Solve z(h) = 0 for h.
-1, 1
Let d be (14 + -1)/1 - 2. Let o = -8 + d. Determine r, given that -o*r**3 + 2*r - 3*r**2 + 0*r**3 - 3*r - r**4 = 0.
-1, 0
Factor 2/5*z + 0 + 2/5*z**5 - 4/5*z**3 + 0*z**4 + 0*z**2.
2*z*(z - 1)**2*(z + 1)**2/5
Let f(t) be the first derivative of 0*t - 1/3*t**6 - 2 - 4/3*t**3 + 0*t**4 + 4/5*t**5 + t**2. Let f(v) = 0. What is v?
-1, 0, 1
Factor 2 - 18 - 11 + 0*d**3 + 27*d - 9*d**2 + d**3.
(d - 3)**3
Find a, given that -2/7*a**5 + 2/7*a**2 - 2/7*a**4 + 0*a + 2/7*a**3 + 0 = 0.
-1, 0, 1
Let b(r) = -r**4 + r**2 + r. Let a(y) = 16*y**5 + 50*y**4 + 36*y**3 - 2*y**2 - 10*y. Let z(n) = a(n) + 6*b(n). Solve z(l) = 0.
-1, 0, 1/4
Let r(x) be the first derivative of -25*x**4/7 + 20*x**3/21 + 32*x**2/7 + 16*x/7 + 22. Suppose r(a) = 0. What is a?
-2/5, 1
Let c(z) = 1. Let x(p) = -p**2 + 0 + 0 - 2*p - 8. Let y(d) = 21*c(d) + 3*x(d). Solve y(l) = 0.
-1
Let v(p) be the first derivative of 8/5*p**2 + 4 - 16/5*p - 4/15*p**3. Let v(k) = 0. Calculate k.
2
Solve 0 - 1/2*i**4 + i**2 + 0*i - 1/2*i**3 = 0 for i.
-2, 0, 1
Let j = -2 + 5. Suppose 0 = -0*g + g - j. Factor -z**3 + 1 - 4*z + g*z**2 + 5*z - 4*z.
-(z - 1)**3
Factor -2*p**2 + 0 + 0*p - 10/3*p**4 + 16/3*p**3.
-2*p**2*(p - 1)*(5*p - 3)/3
Let w(j) be the first derivative of -27*j**6/10 + 27*j**5/10 - j**3 + j**2/2 + j + 2. Let r(l) be the first derivative of w(l). Suppose r(u) = 0. Calculate u.
-1/3, 1/3
Suppose 10*v = 5*v + 5. Let k(a) be the first derivative of v + a - 1/3*a**3 + 1/2*a**2 - 1/4*a**4. Factor k(n).
-(n - 1)*(n + 1)**2
Let p be 1 - (24/2)/(-4). Let w be 4 - p - (-4)/6. Suppose l**2 - w*l + 2/3*l**3 + 0 - l**4 = 0. Calculate l.
-1, 0, 2/3, 1
Let q = 93 - 91. Let k(c) be the first derivative of -6*c + q - 9/2*c**2 - c**3. Determine g so that k(g) = 0.
-2, -1
Let m be (-3 + (-3 - -2))*(-2)/28. Let 2/7 + m*l**3 + 6/7*l + 6/7*l**2 = 0. What is l?
-1
Factor -15*l**2 - 20*l**2 + 35*l**2 + 2*l**3.
2*l**3
Let j be (-3)/(-945)*18/12. Let t(c) be the third derivative of -c**2 + 4/21*c**3 + j*c**5 + 1/21*c**4 + 0*c + 0. Let t(g) = 0. Calculate g.
-2
Suppose -13*j + 17*j - 8 = 0. Factor -1 - a - 1/4*a**j.
-(a + 2)**2/4
Suppose s = 3*i - 14, 2*s + 2*s = i - 1. Let y(z) be the first derivative of 0*z + 2/3*z**2 - 2/3*z**3 - s. Factor y(c).
-2*c*(3*c - 2)/3
Factor -2/5*p**2 + 6/5*p + 8/5.
-2*(p - 4)*(p + 1)/5
Let x(p) be the third derivative of -3*p**8/560 - 2*p**7/105 - p**6/45 + 5*p**4/24 - 6*p**2. Let k(d) be the second derivative of x(d). Factor k(m).
-4*m*(3*m + 2)**2
Let w(u) be the third derivative of -7*u**6/1200 + u**5/100 - 11*u**2. Find f, given that w(f) = 0.
0, 6/7
Let r be -1 + -6*2/(-4). Factor 3*h**3 + h - r*h**3 + 0*h**3 - 2*h.
h*(h - 1)*(h + 1)
Factor -6/5 - 44/5*u**2 - 14/5*u**4 - 36/5*u**3 - 2/5*u**5 - 26/5*u.
-2*(u + 1)**4*(u + 3)/5
Suppose 3*k = -y + 4*y, 0 = 5*k - 3*y - 4. Suppose 8*m + k + 3*m**2 + 1 + 5 - m**2 = 0. Calculate m.
-2
Let h(l) be the first derivative of -l**6/180 - l**5/30 - l**4/12 - l**3 + 1. Let y(u) be the third derivative of h(u). Factor y(o).
-2*(o + 1)**2
Let v(r) be the third derivative of r**7/70 + r**6/8 + 2*r**5/5 + r**4/2 - 6*r**2. Determine k so that v(k) = 0.
-2, -1, 0
Let w be 0 + 0 + (-39)/(-6). Let i = 8 - w. Factor -3*p + 0 - i*p**2.
-3*p*(p + 2)/2
Let d(y) be the second derivative of -1/24*y**4 + 0 + 0*y**2 - 1/16*y**5 + 7/120*y**6 - 4*y + 0*y**3. Find q such that d(q) = 0.
-2/7, 0, 1
Suppose 0 = 25*n + 22 - 97. Factor -1/4*o**n - 1/2*o**2 + 1/2 + 1/4*o.
-(o - 1)*(o + 1)*(o + 2)/4
Let n be (-48)/(-30)*2/24. Let c(d) be the first derivative of 1/9*d**4 - 2 - n*d**5 + 2/9*d + 4/27*d**3 - 1/3*d**2 + 1/27*d**6. Let c(s) = 0. Calculate s.
-1, 1
Let s(d) be the second derivative of -4*d - 1/12*d**4 - 1/2*d**2 + 1/3*d**3 + 0. Let s(m) = 0. What is m?
1
Let v(t) be the first derivative of -t**7/1120 + t**6/480 + t**5/160 - t**4/32 + 8*t**3/3 + 2. Let x(p) be the third derivative of v(p). Solve x(f) = 0 for f.
-1, 1
Let v be (-8)/(-20) - 40/(-75)*3. Factor 4/3 + 2*k + 2/3*k**v.
2*(k + 1)*(k + 2)/3
What is s in s**2 - 2/3*s + 0 - 1/3*s**3 = 0?
0, 1, 2
Let s = -244 + 244. Factor 2/7*m - 8/7*m**2 + s + 6/7*m**3.
2*m*(m - 1)*(3*m - 1)/7
Factor -2/3*n**2 + 10/9*n + 4/9.
-2*(n - 2)*(3*n + 1)/9
Let l = 94 + -844/9. Let t(k) be the second derivative of l*k**3 + 1/18*k**4 + 1/3*k**2 + 2*k + 0. Determine a so that t(a) = 0.
-1
Suppose -5 = -5*v + k, 1 = -2*v + k - 0*k. Let x(y) be the first derivative of 0*y**v + 1 - 1/3*y**3 + 0*y. Let x(d) = 0. Calculate d.
0
Let x(p) be the first derivative of 4*p**5/45 - 11*p**4/36 - 7*p**3/27 + 11*p**2/18 + p/3 - 17. Let x(v) = 0. Calculate v.
-1, -1/4, 1, 3
Let s(m) = -m**3 + m**2 + 4*m. Let c be s(5). Let p = c + 402/5. Solve 2/5*b**2 + 0 - p*b**4 - 1/5*b + 1/5*b**5 + 0*b**3 = 0.
-1, 0, 1
Let j be 5*(-4)/((-12)/27). Let z be 3/12 + j/12. Determine c so that -c**5 - 2*c**z + c**3 + c**2 + 0*c**2 + c**4 = 0.
-1, 0, 1
What is y in -4/7*y**4 + 0 + 4/7*y**2 + 0*y + 10/7*y**5 - 10/7*y**3 = 0?
-1, 0, 2/5, 1
Factor -1283 + v**2 + v + 1283.
v*(v + 1)
Suppose 3*p - 2*c = -0*c, 3*c + 1 = 5*p. Suppose -2*x**2 + x + 3*x**3 - 2*x**p - x**4 + x**2 = 0. Calculate x.
0, 1
Factor 2/3 + 0*k - 2/3*k**2.
-2*(k - 1)*(k + 1)/3
Let c(g) = g**3 + 2*g**2 - 1. Let d be c(1). Suppose -q + d*q = 2*b - 9, -2*b = -2*q - 14. Factor -2*t - 4*t**2 - 4*t**b + 0*t**2 + 6*t**2.
-2*t*(t + 1)
Let r = 4/1263 + 122495/5052. Let j = -24 + r. Factor 1/4*p**2 + 1/4*p**3 - j - 1/4*p.
(p - 1)*(p + 1)**2/4
Let p(d) = -d**3 - 4*d**2 + d. Le