/6*t**4. What is a in x(a) = 0?
-2, 0, 1
Suppose -t + 0*t = 3*t. Let l(v) be the third derivative of 1/30*v**5 + t*v + 1/3*v**3 - 3*v**2 + 0 - 1/6*v**4. Determine c, given that l(c) = 0.
1
Let y be -4 + (2/3)/((-55)/(-345)). Factor -y*u - 4/11 + 2/11*u**2.
2*(u - 2)*(u + 1)/11
Factor 40/3*p - 74/3*p**2 + 20*p**3 - 6*p**4 - 8/3.
-2*(p - 1)**2*(3*p - 2)**2/3
Let y = 4 + -1. Factor j**4 - 13*j + j**4 - 6*j**y + 21*j.
2*j*(j - 2)**2*(j + 1)
What is w in 4*w - 4*w**2 - 3*w - 3*w**3 + 2*w + 6 - 2*w**2 = 0?
-2, -1, 1
Suppose -5*i = -d - 10*i - 8, -2*d = i - 2. Let 0*g**4 + 4*g + g**3 - 5*g - g**4 + g**d = 0. What is g?
-1, 0, 1
Let s(k) be the third derivative of 0*k + 1/80*k**6 + 6*k**2 + 0*k**3 + 1/16*k**4 + 1/20*k**5 + 0. Factor s(v).
3*v*(v + 1)**2/2
Let k(f) be the first derivative of -2/9*f**3 - 2/3*f - 2/3*f**2 + 2. Factor k(z).
-2*(z + 1)**2/3
Let 3/4*t**2 + 21/4*t - 6 = 0. Calculate t.
-8, 1
Let z = 31 + -31. Suppose 0 = 2*r + 3*y - 7, z = -3*r - y - 3*y + 10. Factor -1/5*x**3 - 2/5*x**4 + 0 + 0*x - 1/5*x**5 + 0*x**r.
-x**3*(x + 1)**2/5
Let n = -7 - -9. Find y such that -y - 4*y**2 + y**3 - n + y**2 + y**2 + 4*y**2 = 0.
-2, -1, 1
Let t(s) = -1 + 4 - s**2 + 0 - s. Let a be t(0). Factor -2*g**a + g**2 + 2*g + 3*g**2 - 6*g**2 + 2.
-2*(g - 1)*(g + 1)**2
Suppose 2*i - 60 = -2*i. Let 10*x**2 + 12*x**2 - i*x + 6*x**4 + 5*x**2 + 3 - 21*x**3 = 0. What is x?
1/2, 1
Let v(y) = y**5 + 2*y**4 - 8*y**3 - 3*y**2 - 3*y + 3. Let t(f) = -2*f**5 - 3*f**4 + 15*f**3 + 6*f**2 + 5*f - 5. Let w(p) = -3*t(p) - 5*v(p). Factor w(o).
o**2*(o - 3)*(o + 1)**2
Let z(v) be the second derivative of -3*v**5/20 + v**4/2 - v**3/2 - 3*v. Find k such that z(k) = 0.
0, 1
Let i(g) be the first derivative of g**6/24 + g**5/5 - 3*g**4/16 - 3*g**3/2 - 1. Let i(u) = 0. What is u?
-3, 0, 2
Suppose -o - 3*k + 27 = 2*o, 2*k + 32 = 3*o. Let t = -5 - -7. Determine x so that -120*x + 97*x**3 - o - 6 - 108*x**t + 389*x**3 = 0.
-2/9, 2/3
Let z(d) be the first derivative of d**6/900 - d**5/75 + d**4/15 - d**3/3 + 2. Let k(v) be the third derivative of z(v). Let k(x) = 0. What is x?
2
Suppose q + 13 = 15. Let c(t) be the second derivative of 0 - 1/10*t**5 + 4*t**q + t + 5/6*t**4 - 8/3*t**3. Determine b, given that c(b) = 0.
1, 2
Let a(k) be the first derivative of -k**4/2 - 22*k**3/9 - 4*k**2 - 8*k/3 + 7. Find p such that a(p) = 0.
-2, -1, -2/3
Suppose 1 = -5*n - q + 6, -4*n - 5 = -q. Determine z so that 0*z**2 + 2/11*z**5 + 0 - 4/11*z**3 + 2/11*z + n*z**4 = 0.
-1, 0, 1
Let z(r) be the second derivative of r**7/5040 - r**6/180 + r**5/15 + r**4/3 - 6*r. Let g(x) be the third derivative of z(x). Factor g(s).
(s - 4)**2/2
Suppose 8*h = 3*h - 2*j + 3837, -5*h + 3838 = 3*j. Let d = -3821/5 + h. Factor 0 + 18/5*f**3 + 2/5*f**5 + 4/5*f - d*f**2 - 2*f**4.
2*f*(f - 2)*(f - 1)**3/5
Let d = -10 + 12. Factor 2*m**2 - m**2 - 4*m**4 + 2*m**d + 3*m**3 + m**4 - 3*m**5.
-3*m**2*(m - 1)*(m + 1)**2
Let t(i) = -1. Let l(q) = -5*q**3 - 20*q**2 - 20*q + 4. Let m(j) = l(j) + 4*t(j). Factor m(g).
-5*g*(g + 2)**2
Let s = -219 - -3943/18. Let l(t) be the second derivative of 2*t + 0 - s*t**3 + 1/36*t**4 + 0*t**2. Determine o, given that l(o) = 0.
0, 1
Let d be (9/15)/((-1)/(-10)). Let h = d - 6. Solve h + 3/2*m**3 - 1/2*m**2 + 2*m**4 + 0*m = 0 for m.
-1, 0, 1/4
Let k(s) = 3*s**4 - 4*s**3 + s**2 - 2. Suppose -2*b = 4*o - 2, 4*o - 2*o - 7 = 5*b. Let x(i) = -i**3 + i**2 + 1. Let t(m) = o*k(m) + 2*x(m). Factor t(c).
3*c**2*(c - 1)**2
Let q(i) = i**4 - 59*i**3 + 61*i**2 - 37*i + 1. Let b(h) = -20*h**3 + 20*h**2 - 12*h. Let p(j) = -11*b(j) + 4*q(j). Determine r, given that p(r) = 0.
1
Let s be ((15 + 0)/(-3))/(-1). Let a be ((10/(-3))/s)/(-1). Factor -7/3*t + a - 3*t**2.
-(t + 1)*(9*t - 2)/3
Let l be 3/(-1) - (-9 - -4). What is s in 2 + 10*s - 5 - 4*s**2 - 2*s**3 + l*s**4 - 1 - 2*s**2 = 0?
-2, 1
Find s such that 3 - 2*s**2 - 3 - 3*s + 5*s**2 = 0.
0, 1
Let d be 0 + ((-135)/300)/((-3)/5). Let 0 + d*l**2 + 0*l - 3/4*l**3 = 0. Calculate l.
0, 1
Factor 6*g**2 - 9*g + 3*g**3 + 129 - 129.
3*g*(g - 1)*(g + 3)
Let g(o) be the first derivative of -o**5/120 + o**4/8 - 3*o**3/4 - 3*o**2/2 + 4. Let n(h) be the second derivative of g(h). Factor n(t).
-(t - 3)**2/2
Let m(l) be the first derivative of l**6/60 + l**5/15 - l**4/12 - 2*l**3/3 - l**2/2 + 3. Let r(t) be the second derivative of m(t). Find g, given that r(g) = 0.
-2, -1, 1
Factor -r**4 - 3*r**2 + 37*r**3 - 17*r**3 - 17*r**3 + r.
-r*(r - 1)**3
Let x(d) be the third derivative of -d**8/3360 + d**7/420 - d**6/120 + d**5/60 - d**4/6 - 2*d**2. Let b(l) be the second derivative of x(l). Factor b(j).
-2*(j - 1)**3
Determine j so that 0*j + 0 + j**4 + 1/3*j**5 + 0*j**2 + 2/3*j**3 = 0.
-2, -1, 0
Let f be (8/20)/((-1)/(-95)). Let g = -38 + f. Factor -1/2*i**2 + g + 3/2*i.
-i*(i - 3)/2
Let v be (13/(-108))/((-15)/30). Let u = v - -1/108. Suppose u - 1/4*x**2 - 1/4*x + 1/4*x**3 = 0. Calculate x.
-1, 1
Suppose 1154*g + 4*g**2 + 8 - 4 - 1146*g = 0. Calculate g.
-1
Let u(x) be the first derivative of x**3/3 - x**2 + 2. Solve u(t) = 0.
0, 2
Let k be (1/55*2)/(2/30). Suppose -2/11*n**3 + 2/11 - 6/11*n + k*n**2 = 0. What is n?
1
Let l(w) be the third derivative of -w**11/831600 - w**10/378000 - w**5/30 + w**2. Let p(v) be the third derivative of l(v). Suppose p(a) = 0. Calculate a.
-1, 0
Let d(q) be the second derivative of -q**4/36 + 2*q**3/9 + 8*q. Let d(a) = 0. Calculate a.
0, 4
Let d = -10 - -16. Let m be ((-78)/27 - -3)*d. Factor -2/9*j**2 - 4/9 + m*j.
-2*(j - 2)*(j - 1)/9
Let c = -7 + 6. Let t be c*(-2 - (-2)/4). Determine j so that t*j**3 + 0 + j**2 - 1/2*j = 0.
-1, 0, 1/3
Let k(h) be the second derivative of h**4/6 - 10*h**3/3 + 9*h**2 + 24*h. Suppose k(y) = 0. What is y?
1, 9
Let o = 446 + -877/2. Factor 9/2*m + o*m**3 - 21/2*m**2 - 3/2*m**4 + 0.
-3*m*(m - 3)*(m - 1)**2/2
Let i = -27 - -29. Factor 0*x**4 + 2/5*x**3 - 1/5*x - 1/5*x**5 + 0 + 0*x**i.
-x*(x - 1)**2*(x + 1)**2/5
Let f be 1/(((-4)/(-3))/4). Suppose 0 = -q + 5 - f. Suppose 8*v**q + 2*v - 3*v - 9*v**2 = 0. Calculate v.
-1, 0
Let p be 65 + -65 - 2/(-7). Solve -6/7*r**5 + 0 + p*r**4 + 0*r + 8/7*r**2 + 16/7*r**3 = 0 for r.
-1, -2/3, 0, 2
Let z(o) be the third derivative of -o**8/1848 - o**7/1155 - 8*o**2. Factor z(k).
-2*k**4*(k + 1)/11
Let i(p) be the first derivative of -4*p**5/35 + 19*p**4/28 - 23*p**3/21 + 5*p**2/14 + 3*p/7 + 13. Solve i(k) = 0 for k.
-1/4, 1, 3
Let q(o) be the third derivative of -o**5/20 - o**4/12 - 2*o**2. Let f(y) = 4*y**2 + 2*y. Let l(m) = -4*f(m) - 5*q(m). Factor l(v).
-v*(v - 2)
Find q, given that 0*q**4 + 8/3*q**2 + 6*q**3 + 0 + 1/3*q - 9*q**5 = 0.
-1/3, 0, 1
Let m be (1/4)/(4/56*7). Factor -3/2*p + m*p**2 + 1.
(p - 2)*(p - 1)/2
Let o(p) be the first derivative of -7*p**6/6 + 12*p**5/5 + p**4 + 16. Factor o(m).
-m**3*(m - 2)*(7*m + 2)
Let c(x) = 3*x**3 + 7*x**2 - 13*x - 2. Let m(u) = 4*u**3 + 6*u**2 - 12*u - 2. Let i(q) = -2*q - 7. Let k be i(-6). Let n(s) = k*m(s) - 4*c(s). Factor n(z).
2*(z - 1)*(z + 1)*(4*z + 1)
Let y(g) be the second derivative of g**4/30 + g**3/5 + 2*g**2/5 + 23*g. Factor y(t).
2*(t + 1)*(t + 2)/5
Let d be ((-9)/(-6))/(-3) - 56/(-16). Let n(o) be the first derivative of 1/2*o**4 - o**2 - 1 + 4/3*o**d - 4*o. Factor n(v).
2*(v - 1)*(v + 1)*(v + 2)
Let i(z) = 8*z**4 - 19*z**3 + 45*z**2 - 29*z - 5. Let w(s) = 2*s**4 - 5*s**3 + 11*s**2 - 7*s - 1. Let p(k) = 4*i(k) - 18*w(k). Factor p(x).
-2*(x - 1)**3*(2*x - 1)
Let k = 33 + -33. Find f, given that 0*f**2 + 0*f - 1/4*f**3 + 1/4*f**4 + k = 0.
0, 1
Let q(b) = 3*b**3 - 2*b**2 + b. Let a be q(1). Factor 2*z**2 - 2*z**2 + 3*z**2 + 1 - z**3 + 3*z + a*z**3.
(z + 1)**3
Let v(h) = h**2 + 3*h + 4. Let n be v(-2). Suppose -5*d + 19 = 2*u, -2*d + n*u - 16 = -6*d. What is j in -9/4*j - 6*j**2 - 4*j**d - 1/4 = 0?
-1, -1/4
Suppose -7*o + 5*o**4 - 7*o - 4*o - 2*o + 15*o**3 = 0. What is o?
-2, 0, 1
Suppose -7 + 19 = 4*k. Let q(d) = k + 3*d**2 - d + 0*d - 3*d - 5*d. Let p(y) = -y**2 + 4*y - 1. Let g(j) = 5*p(j) + 2*q(j). Factor g(z).
(z + 1)**2
Let j = 62/11 - 299/55. Factor 0 - 1/5*x**4 - 3/5*x**3 - j*x - 3/5*x**2.
-x*(x + 1)**3/5
Let k(a) be the second derivative of -a**7/98 - 2*a**6/35 - 9*a**5/70 - a**4/7 - a**3/14 - 8*a. Factor k(f).
-3*f*(f + 1)**4/7
Let a(t) be the second derivative of 3/5*t**5 - 10*t - 2*t**3 - 2*t**2 + 0 - 5/12*t**4 + 3/10*t**