 + 0*a**2 = 0.
-1, 0, 2/3
Factor -10/9*x + 8/9 + 2/9*x**2.
2*(x - 4)*(x - 1)/9
Let w = 193 - 192. Let x(y) be the first derivative of -8*y + w + 4*y**2 - 2/3*y**3. Determine c so that x(c) = 0.
2
Let v(h) be the first derivative of -h**3 + h + 1. Let d(n) = -13*n**2 + 4. Let f(z) = -4*d(z) + 18*v(z). Determine c so that f(c) = 0.
-1, 1
Let i(y) = y + 4 + 3 + 0*y. Let j be i(-5). Factor 0*n**j - 1/2*n**3 + 1/2*n + 0.
-n*(n - 1)*(n + 1)/2
Suppose -2*q + 7*q - 15 = 0. Let o(k) = -3*k**3 - 2*k**2 + 5. Let b(w) = 2*w**3 + w**2 - 3. Let r(i) = q*o(i) + 5*b(i). What is y in r(y) = 0?
0, 1
Let c(k) be the second derivative of -k**9/6048 + k**8/3360 + k**7/1680 - k**6/720 - k**3/2 + 5*k. Let p(r) be the second derivative of c(r). Factor p(l).
-l**2*(l - 1)**2*(l + 1)/2
Let g(h) be the third derivative of -2*h**7/105 + h**6/10 - h**5/5 + h**4/6 - 3*h**2. Factor g(c).
-4*c*(c - 1)**3
Determine l, given that 4*l**2 - 382*l**3 + 384*l**3 + 2*l**2 = 0.
-3, 0
Let y be 2/12 - 150/(-45). Let y*c + 5/2*c**2 + 1 = 0. What is c?
-1, -2/5
Factor -766*k**5 + k**4 + 0 + 0 + 765*k**5.
-k**4*(k - 1)
Suppose -5*a - 2 = -0*t - t, 2*t - 4*a - 34 = 0. Determine r so that -t + 27 - r**3 = 0.
0
Let q(h) be the second derivative of -h**7/10080 + h**5/480 - h**4/6 + 2*h. Let a(s) be the third derivative of q(s). Factor a(m).
-(m - 1)*(m + 1)/4
Let t(w) be the second derivative of w**7/21 - 2*w**6/15 + w**4/3 - w**3/3 - 4*w. Suppose t(x) = 0. Calculate x.
-1, 0, 1
Factor 2*z**2 + z**2 - 3 + 17*z + 12*z - 26*z - 3*z**3.
-3*(z - 1)**2*(z + 1)
Let z be 72/15 + 20/(-25). Let c(t) be the first derivative of -73/3*t**3 + 16*t**2 - z*t + 77/5*t**5 + 17/4*t**4 - 49/6*t**6 + 1. Suppose c(h) = 0. What is h?
-1, 2/7, 1
Let q be ((-3)/(-2))/((-111)/(-12) - 7). Suppose -2/9*y**2 - q*y - 4/9 = 0. What is y?
-2, -1
Let t(p) = -p**2 + 5*p - 4. Let m be t(3). Factor -8*x + m*x**4 + 3*x**4 - 2*x**3 + 4 + 0*x - 15*x**2 + 4*x.
(x - 2)*(x + 1)**2*(5*x - 2)
Let u(y) be the first derivative of -1/11*y**2 + 0*y + 2/33*y**3 - 6. Factor u(p).
2*p*(p - 1)/11
Factor 2 - 2*a + 0*a**3 - 3*a**2 + 16*a**4 + a**3 - 7*a**2 + 8*a**5 + a**3.
2*(a + 1)**3*(2*a - 1)**2
Suppose 2*t - 13 = -3. Suppose 3*y + 2*y = -3*g - t, 0 = -3*g + 2*y + 2. Find k such that 0*k - 2/3*k**4 + g*k**2 + 0 + 1/3*k**5 + 1/3*k**3 = 0.
0, 1
What is p in 2/3*p**3 - 4/9 - 16/9*p**2 + 14/9*p = 0?
2/3, 1
Let r(w) be the first derivative of w**4/6 - 8*w**3/9 + 4*w**2/3 - 7. Factor r(i).
2*i*(i - 2)**2/3
Let r(w) be the third derivative of w**8/56 - w**7/14 + w**6/10 - w**5/20 - 3*w**2. Factor r(d).
3*d**2*(d - 1)**2*(2*d - 1)
Let h(m) be the second derivative of -1/3*m**2 + 0 - 1/18*m**4 + 2/9*m**3 + 3*m. Factor h(w).
-2*(w - 1)**2/3
Suppose 8*x + 2*x - 30 = 0. Let t(u) be the third derivative of u**x - 5/8*u**4 + 0 + 0*u - 1/10*u**5 + 1/8*u**6 - 2*u**2. Factor t(c).
3*(c - 1)*(c + 1)*(5*c - 2)
Let q(i) be the first derivative of 1/7*i**4 + 0*i + 0*i**2 + 2/21*i**3 - 3 + 2/35*i**5. Find h, given that q(h) = 0.
-1, 0
Let u be ((-2)/(-6))/((-1)/(-6)). Let v - 6*v**2 + 0*v**u + 7*v**2 = 0. Calculate v.
-1, 0
Suppose -5 = -5*k + 5*b, 5 = -4*k + b - 0*b. Let t be 6/(-9)*k/6. Factor -4/9*l**2 + 0*l + 0 + t*l**3 + 2/9*l**4.
2*l**2*(l - 1)*(l + 2)/9
What is j in -6/7*j**2 + 2/7*j**3 + 6/7 - 2/7*j = 0?
-1, 1, 3
Suppose -5*c**3 - 243 - 5*c**4 - 31*c**3 - 324*c + 2*c**4 + 30*c**2 - 192*c**2 = 0. Calculate c.
-3
Factor -4/5 + 2*n - 8/5*n**2 + 2/5*n**3.
2*(n - 2)*(n - 1)**2/5
Let s(v) be the second derivative of -v**7/21 - v**6/5 - v**5/5 + v**4/3 + v**3 + v**2 + 2*v. Factor s(y).
-2*(y - 1)*(y + 1)**4
Solve -1 - 6*q - 2 + 13 - 6 + 2*q**2 = 0.
1, 2
Let 0 + 0*p + 3/8*p**2 = 0. Calculate p.
0
Let v(k) be the second derivative of k**6/420 + k**5/105 + k**4/84 + 3*k**2/2 + 4*k. Let w(l) be the first derivative of v(l). Determine g so that w(g) = 0.
-1, 0
Let x = -22 - -22. Let z(r) be the first derivative of -2 + 0*r**3 + 1/2*r**4 + x*r - r**2. Factor z(d).
2*d*(d - 1)*(d + 1)
Find y such that -3993/7 + 3/7*y**3 - 99/7*y**2 + 1089/7*y = 0.
11
Find i such that -8/11*i + 0 - 2/11*i**3 + 10/11*i**2 = 0.
0, 1, 4
Let a(w) be the third derivative of 0*w + 0 + 1/6*w**3 - 1/240*w**6 + w**2 + 0*w**5 + 1/16*w**4. Factor a(c).
-(c - 2)*(c + 1)**2/2
Solve 4/3*w - 2 + 2/3*w**2 = 0.
-3, 1
Let 0 - 2*p**3 + 0*p - 1/2*p**2 = 0. Calculate p.
-1/4, 0
Let f(n) be the second derivative of -14*n**7/3 - 70*n**6/3 - 47*n**5 - 145*n**4/3 - 80*n**3/3 - 8*n**2 + 24*n. Factor f(q).
-4*(q + 1)**3*(7*q + 2)**2
Let g be ((-16)/48)/((-2)/12). Suppose 0 + 0*h + 1/4*h**g - 1/4*h**3 = 0. Calculate h.
0, 1
Let p = -37/26 + 1491/52. Let g = p + -27. Factor 0 + 1/4*c - g*c**2.
-c*(c - 1)/4
Let s(r) be the first derivative of 25*r**4 - 440*r**3/9 + 104*r**2/3 - 32*r/3 - 4. Find f, given that s(f) = 0.
2/5, 2/3
Let o be ((-93)/12)/((-3)/(-2)). Let f = o + 35/6. Find h, given that 1/3*h**4 - f*h**3 + 0 + 1/3*h**2 + 0*h = 0.
0, 1
Let u = -29 + 88/3. Let w(v) be the first derivative of 0*v - u*v**3 - 1/6*v**6 + 1 + 1/4*v**4 + 0*v**2 + 1/5*v**5. Factor w(y).
-y**2*(y - 1)**2*(y + 1)
Let p(k) be the third derivative of k**8/112 + k**7/70 - k**6/40 - k**5/20 - 20*k**2. Factor p(j).
3*j**2*(j - 1)*(j + 1)**2
Suppose 4*f = 5 + 7. What is c in 6*c + c**f - c - 6*c = 0?
-1, 0, 1
Let -35/6*c**2 + 5/6*c**3 + 5*c + 0 = 0. Calculate c.
0, 1, 6
Let -8/13*f**3 - 2/13*f**4 - 2/13 - 12/13*f**2 - 8/13*f = 0. Calculate f.
-1
Let c(m) be the third derivative of -m**8/6720 + m**5/20 - m**2. Let d(w) be the third derivative of c(w). Factor d(b).
-3*b**2
Let z = -17/7 + 3. Suppose z*c + 2/7*c**2 + 0 = 0. What is c?
-2, 0
Let d(x) = -4*x**3 - 10*x**2 + 3*x + 7. Let a(o) = 20*o**3 + 51*o**2 - 15*o - 34. Let b(y) = 2*a(y) + 11*d(y). Factor b(k).
-(k - 1)*(2*k + 3)**2
Let i(s) = -3*s**2 - 20*s - 10. Let b be i(-6). Let 6/5*z**3 - 12/5 - 3/5*z**4 - 12/5*z + 9/5*z**b = 0. What is z?
-1, 2
Factor -13*g - 4*g**3 - 2*g**4 + 29*g - 50*g**2 + 58*g**2.
-2*g*(g - 2)*(g + 2)**2
Let v be 117/18 - (-10)/(-2) - 1. Factor 0*x**3 - v*x**4 + 0 + x + 3/2*x**2.
-x*(x - 2)*(x + 1)**2/2
Let g be 8/(-3)*2/(-24). Solve -g*a**2 - 4/9*a + 0 = 0 for a.
-2, 0
Determine p so that 7*p**2 + p**4 + 3*p**2 + 2*p - 2*p**3 - 11*p**2 = 0.
-1, 0, 1, 2
Let p(c) be the first derivative of -1/6*c**4 + 1 + 2/3*c**3 + c - c**2. Let i(j) be the first derivative of p(j). Suppose i(b) = 0. Calculate b.
1
Let j be 2 - -1 - (-1 + 1). Suppose j*d - 5 - 1 = 0. Factor 2*u**2 + 0*u**3 + 2*u**3 - d - 2*u + 0*u**3.
2*(u - 1)*(u + 1)**2
Let g be 2/3 - 4/60. What is b in 4/5*b + 1/5*b**4 + 4/5 - 2/5*b**3 - g*b**2 = 0?
-1, 2
Let z(q) be the first derivative of 1/6*q**2 - 2*q + 1/30*q**5 + 1 - 1/9*q**3 - 1/36*q**4. Let i(p) be the first derivative of z(p). Factor i(a).
(a - 1)*(a + 1)*(2*a - 1)/3
Let t(g) = -15*g**5 + 55*g**4 - 45*g**3 + 5*g**2 + 10*g. Let l(k) = 5*k**5 - 18*k**4 + 15*k**3 - 2*k**2 - 3*k. Let d(b) = -10*l(b) - 3*t(b). Factor d(q).
-5*q**2*(q - 1)**3
Solve -25*x - 16*x**2 + 43*x + 4*x**3 + x**4 + 15*x**4 - 22*x = 0 for x.
-1, -1/4, 0, 1
Find r such that -1/6*r**2 - 32/3 - 8/3*r = 0.
-8
Let o = -451 + 4063/9. Let i(q) be the third derivative of 2*q**2 - 7/30*q**5 - 833/360*q**6 + 0*q + 0 + o*q**3 + 13/18*q**4 - 98/45*q**7. Solve i(d) = 0.
-2/7, 1/4
Let j(g) be the second derivative of 0 + 3/10*g**6 + 0*g**2 + 0*g**5 + 1/7*g**7 - 2*g + 0*g**3 - 1/4*g**4. Factor j(t).
3*t**2*(t + 1)**2*(2*t - 1)
Let s(k) be the first derivative of k**7/70 + k**6/40 - k**5/20 - k**4/8 - k**2 + 1. Let d(q) be the second derivative of s(q). What is w in d(w) = 0?
-1, 0, 1
Let d(r) be the first derivative of r**4/28 - 20. Find q, given that d(q) = 0.
0
Let a(w) be the third derivative of -w**5/30 - 5*w**4/12 - 4*w**3/3 - 3*w**2. Determine q so that a(q) = 0.
-4, -1
Factor 10/7*r**2 + 2/7*r**3 - 2/7*r**4 + 0 + 6/7*r.
-2*r*(r - 3)*(r + 1)**2/7
Let x(p) = p**5 + p**3 + p**2. Let v(s) = -8*s**5 - 6*s**3 - 6*s**2. Let j(d) = v(d) + 6*x(d). Factor j(q).
-2*q**5
Let z = 649/12 - 54. Let f(r) be the third derivative of 0*r**3 + 0 - r**2 + 1/60*r**5 + 0*r + 1/120*r**6 - z*r**4. Find x such that f(x) = 0.
-2, 0, 1
Let h be (-2 - (-2 - 1))*2. Suppose -h*f - 6 = -4*f. Determine s, given that -2*s**2 + 4*s + 2 + f - 7 = 0.
1
Let h(u) be the second derivative of u**5/20 + 5*u**4/12 - u**3 + 26*u. 