 - 2)*(q + 1)**2/4
Let g = 4 + -11/3. Let x be ((-3)/(-12)*-1)/((-6)/8). Suppose 0 + g*w + x*w**5 - 2/3*w**3 + 0*w**4 + 0*w**2 = 0. Calculate w.
-1, 0, 1
Let l(w) be the second derivative of w**5/300 - w**4/120 + w**2 + w. Let g(m) be the first derivative of l(m). Factor g(k).
k*(k - 1)/5
Let k be (-1)/(-5) + (-762)/(-2790). Let l = k - -6/31. Factor 0 + 0*g - 2/3*g**2 - l*g**4 + 4/3*g**3.
-2*g**2*(g - 1)**2/3
Let w(n) = -4*n**4 + 10*n**3 - 8*n**2 - 2*n. Let u(g) = 20*g**4 - 49*g**3 + 40*g**2 + 11*g. Let t(m) = 2*u(m) + 11*w(m). Solve t(y) = 0.
0, 1, 2
Suppose 0*d = -d. Let y be 9/4 + 2/8*-1. Let 1/3*b**y + 0 + d*b = 0. What is b?
0
Let f = -56/11 - -425/77. Factor 0*w - 3/7*w**2 + f.
-3*(w - 1)*(w + 1)/7
Find h such that 2/7*h**4 + 0*h**2 - 4/7*h**3 + 4/7*h - 2/7 = 0.
-1, 1
Let w(v) = 4*v**3 - 2*v**2 - 5 + 3*v**3 - 3*v + v**3 - 2*v. Let c(y) = -9*y**3 + 3*y**2 + 6*y + 6. Let x(j) = -5*c(j) - 6*w(j). Suppose x(t) = 0. What is t?
-1, 0
Let m be 25/50 + -1*(1 + -1). Factor -b - m*b**2 + 0.
-b*(b + 2)/2
Let c(g) be the third derivative of -g**8/252 + 8*g**7/315 - g**6/18 + 2*g**5/45 + g**2 - 7*g. Factor c(x).
-4*x**2*(x - 2)*(x - 1)**2/3
Suppose -5*z - 25 = -2*c, 3*z = 4*z + 5. Let x(d) be the third derivative of 1/60*d**6 + 1/15*d**5 + 1/12*d**4 + 0*d - 3*d**2 + c + 0*d**3. Factor x(i).
2*i*(i + 1)**2
Let j be (144/(-30))/(-12)*5. Determine m so that 0 + 0*m + 0*m**j + 2/11*m**4 + 0*m**3 = 0.
0
Factor 1/5*v**4 - 1/5*v**3 - 1/5*v**2 + 0*v + 0 + 1/5*v**5.
v**2*(v - 1)*(v + 1)**2/5
Solve 379*v - 340*v + 171*v**2 - 6 + 0 = 0.
-1/3, 2/19
Factor -1700*u**5 - 2940*u**4 - 976*u**2 + 328*u**5 + 228*u**3 + 2964*u**3 + 96*u.
-4*u*(u + 3)*(7*u - 2)**3
Let q(m) be the second derivative of -m**4/108 + m**3/18 + 2*m**2/9 + 6*m. Find r such that q(r) = 0.
-1, 4
Factor -6/7*f**3 + 0 - 12/7*f**2 - 6/7*f.
-6*f*(f + 1)**2/7
Let r(q) be the second derivative of -2/15*q**6 + 0*q**4 + q + 0*q**2 - 1/20*q**5 + 0*q**3 - 1/14*q**7 + 0. Let r(v) = 0. Calculate v.
-1, -1/3, 0
Let t = 27 - 80/3. Factor 0 + t*z - 1/3*z**2.
-z*(z - 1)/3
Let j(l) be the third derivative of -1/96*l**4 + 0 + 1/672*l**8 + 3*l**2 + 0*l + 1/280*l**7 - 1/480*l**6 - 1/80*l**5 + 0*l**3. Solve j(k) = 0.
-1, -1/2, 0, 1
Let v(r) be the second derivative of 1/10*r**5 - 2*r + 1/5*r**6 - 2/3*r**3 + 1/21*r**7 - 1/2*r**4 + 0 + 0*r**2. Let v(j) = 0. What is j?
-2, -1, 0, 1
Find m, given that -8/3 - 2*m**3 + 0*m + 14/3*m**2 = 0.
-2/3, 1, 2
Let v = -86 + 92. Let n(k) be the third derivative of 1/240*k**5 - 1/24*k**3 + 0*k + 2*k**2 + 1/96*k**4 - 1/480*k**v + 0. Factor n(d).
-(d - 1)**2*(d + 1)/4
Let m be 48/84 - ((-380)/(-112))/(-5). Let -3/4*v**3 + m*v**5 + 0 - 7/4*v**2 + 7/4*v**4 - 1/2*v = 0. Calculate v.
-1, -2/5, 0, 1
Suppose -143 = -3*k + 4*f, -k - f = k - 99. Factor 16*c**2 - 81*c**5 - 120*c**5 - k*c**5 + 300*c**4 - 120*c**3.
-2*c**2*(5*c - 2)**3
Let h be 22/99*534/4. Let i = 30 - h. Factor -1/3*o**3 - 1/3*o**4 + 1/3*o + i*o**2 + 0.
-o*(o - 1)*(o + 1)**2/3
Suppose 2*r = -4*l - 3*r - 34, 14 = -4*l + 5*r. Let u = 8 + l. Factor 0*f**u + 2/9*f**3 - 2/3*f - 4/9.
2*(f - 2)*(f + 1)**2/9
Let b(s) be the third derivative of -s**8/6720 - s**7/280 - 3*s**6/80 + s**5/60 + 2*s**2. Let k(u) be the third derivative of b(u). Factor k(j).
-3*(j + 3)**2
Let r be (-295)/(-8 - -3) - 3. Let f be ((-108)/r)/(18/(-21)). Determine p so that f*p**3 - 3/4*p**4 + 0 - 9/4*p**2 + 3/4*p = 0.
0, 1
Find z such that -8*z + 2 + 40*z**2 + 2 + 3*z - 39*z**2 = 0.
1, 4
Let p(d) = d**3 + 6*d**2 + 6*d + 7. Let o be p(-5). Suppose 2 = -3*b + g, -b + o*g = 2*b + 4. Factor -3/4*u**3 - 1/4*u**4 - 3/4*u**2 - 1/4*u + b.
-u*(u + 1)**3/4
Let z(x) be the first derivative of -x**3/3 - x**2/2 + 2*x + 14. Factor z(y).
-(y - 1)*(y + 2)
Let w(y) be the first derivative of -5*y**3/3 + 10*y**2 - 20*y - 15. Suppose w(a) = 0. What is a?
2
Let s be 31*(9/(-3))/(-3). Let p be -3 + s/5 + -3. Solve -1/5 - 2/5*o - p*o**2 = 0.
-1
Let y(m) be the third derivative of m**11/554400 + m**10/126000 + m**9/100800 + m**5/15 + 3*m**2. Let t(u) be the third derivative of y(u). Factor t(w).
3*w**3*(w + 1)**2/5
Let o = 72 - 68. Let j(a) be the first derivative of -2 + 1/4*a**2 + 0*a - 1/8*a**o + 0*a**3. Determine c so that j(c) = 0.
-1, 0, 1
Determine t, given that 4*t**3 + 28*t**2 - 2*t**4 + 2*t**5 - 14*t**5 - 32*t**4 + 8*t + 6*t**4 = 0.
-2, -1, -1/3, 0, 1
Determine y so that 0 - 2/3*y**2 + 2/3*y**4 - 1/3*y + 1/3*y**3 = 0.
-1, -1/2, 0, 1
Let j(x) be the second derivative of -1/12*x**5 + 1/90*x**6 - 7/18*x**3 + x + 0 + 1/4*x**4 + 1/3*x**2. Factor j(a).
(a - 2)*(a - 1)**3/3
Let r(n) be the first derivative of -n**6/120 - n**5/80 - 4*n + 2. Let s(u) be the first derivative of r(u). Factor s(d).
-d**3*(d + 1)/4
Let c(j) be the second derivative of j**6/60 - 3*j**2 - j. Let n(b) be the first derivative of c(b). Solve n(g) = 0 for g.
0
Solve 0 + 8/3*w**3 + 2/3*w**4 + 4/3*w + 10/3*w**2 = 0.
-2, -1, 0
Let s(k) be the third derivative of 0*k + 0 - 1/30*k**5 - 1/120*k**6 + 1/3*k**3 + 1/24*k**4 + 5*k**2. Factor s(w).
-(w - 1)*(w + 1)*(w + 2)
Let i(g) be the third derivative of -g**5/60 - g**4/2 + 7*g**3/3 + 4*g**2. Let y(l) = -12*l + 13. Let d(h) = 4*i(h) - 5*y(h). Factor d(t).
-(2*t - 3)**2
Let x(t) = -4*t**3 + 12*t - 3. Let u(i) = 2*i**3 - 6*i + 1. Let z(s) = -5*u(s) - 3*x(s). Factor z(l).
2*(l - 1)**2*(l + 2)
Let w be 3 + (3 - 12/2). Let n = -4/3 + 5/3. Factor n*c**2 - 2/3*c + w.
c*(c - 2)/3
Let w = 2/277 - -3314/1385. Suppose w + 12/5*v + 3/5*v**2 = 0. What is v?
-2
Suppose 0*t = -4*t. Let g(p) be the second derivative of -1/3*p**4 + 2/15*p**6 + t + 1/10*p**5 - 1/3*p**3 + 0*p**2 + p. Factor g(n).
2*n*(n - 1)*(n + 1)*(2*n + 1)
Let a(m) = 3*m**2 + 8*m. Let i(z) be the second derivative of -z**4 - 11*z**3/2 - 2*z. Let j(s) = -9*a(s) - 2*i(s). Determine l, given that j(l) = 0.
-2, 0
Find g, given that 3 + 2*g**2 + 11/2*g = 0.
-2, -3/4
Let p(k) = 5*k**5 - 4*k**4 - 3*k**3 - 6*k**2 + 8*k + 4. Let u(l) = -l**5 + l**4 - l**3 + l**2 + l + 1. Let q(w) = -p(w) - 4*u(w). Suppose q(i) = 0. What is i?
-2, -1, 2
Let x(l) be the second derivative of l**4/12 - 7*l**3/3 + 49*l**2/2 + 29*l. Factor x(h).
(h - 7)**2
Let k(t) be the first derivative of 9/2*t**2 - 9/4*t**4 + 5*t**3 - 7 - 3*t - 12/5*t**5. Suppose k(i) = 0. Calculate i.
-1, 1/4, 1
Let n(s) be the first derivative of s**4/12 - 2*s**3/9 + s**2/6 + 7. Let n(x) = 0. What is x?
0, 1
Let h(g) be the third derivative of g**5/540 - 2*g**3/27 + 20*g**2. Factor h(z).
(z - 2)*(z + 2)/9
Let z = -32 - -161/5. Let w(c) be the second derivative of -11/20*c**5 + 0*c**2 + 3/14*c**7 - 2*c + 0 + 1/3*c**4 + 2/3*c**3 - z*c**6. What is x in w(x) = 0?
-2/3, 0, 1
Let t(o) be the first derivative of -o**6/120 - o**5/40 - o**4/48 - 9*o - 1. Let j(z) be the first derivative of t(z). Factor j(u).
-u**2*(u + 1)**2/4
Let z = -1 + -2. Let a be ((-2)/(-2) + -31)*z. Factor -46*q**3 - 8 - 41*q - 7*q - a*q**2 - 4*q**3.
-2*(q + 1)*(5*q + 2)**2
Let k = 92/183 + 10/61. Factor 13/3*a**2 + 0 - 5*a**3 - k*a.
-a*(3*a - 2)*(5*a - 1)/3
Let x = 544 + -542. Determine l so that 1/4*l**3 + 3/4*l**x + 1/4*l - 3/4*l**4 + 0 - 1/2*l**5 = 0.
-1, -1/2, 0, 1
Determine v so that -2/7*v**5 - 4/7*v**2 + 0 + 4/7*v**4 + 0*v + 2/7*v**3 = 0.
-1, 0, 1, 2
Factor -26*j - 16 + 4*j**3 + 51*j - 29*j + 16*j**2.
4*(j - 1)*(j + 1)*(j + 4)
Let u be 6 - 2 - (4 - 2). Let s(t) be the first derivative of 0*t**u - 3/5*t - 2 + 1/5*t**3. Suppose s(d) = 0. Calculate d.
-1, 1
Let n = 27/130 - -5/26. Factor 0 - 8/5*y**2 + n*y.
-2*y*(4*y - 1)/5
Let a = -954/35 + 142/5. Factor a + 2/7*t**2 - 8/7*t.
2*(t - 2)**2/7
Let t(l) be the first derivative of l**7/840 + l**6/120 + l**5/40 + l**4/24 - l**3 - 8. Let p(b) be the third derivative of t(b). Suppose p(a) = 0. What is a?
-1
Determine v so that 3/2*v + 1 + 1/2*v**2 = 0.
-2, -1
Factor 1/4*j**4 + 0 + 1/4*j**3 + 0*j + 0*j**2.
j**3*(j + 1)/4
Suppose -9 = l - 13. Let r(s) be the second derivative of 0*s**2 + 3*s - 3*s**4 + 0 - 1/10*s**6 - l*s**3 - 9/10*s**5. Determine j, given that r(j) = 0.
-2, 0
Let c(r) be the second derivative of -r**10/226800 + r**8/16800 - r**7/9450 - r**4/12 + 5*r. Let x(h) be the third derivative of c(h). Factor x(u).
-2*u**2*(u - 1)**2*(u + 2)/15
Let g(u) be the third derivative of -3*u**5/20 + 2*u**4 - 9*u**3/2 + 3*u**2. Let z(y) = 2*y**2 - 12*y + 7. Let 