4 - 19/y. Solve 0 + 2/7*o**2 - l*o = 0.
0, 1
Let g = 131/6 + -631/30. Suppose 0 + 2/5*c**3 - g*c + 2/5*c**2 = 0. Calculate c.
-2, 0, 1
Suppose 2*g = -3*g + 15. Find v, given that -20*v**3 + v**2 - v + v**2 - 2 + 21*v**g = 0.
-2, -1, 1
Let w = 107/3 - 35. Let 0 + 4/3*l**2 + 2/3*l + w*l**3 = 0. Calculate l.
-1, 0
Let l be 2 - 2 - 0 - -2. Factor 3*p**2 + 3*p**3 - 4*p**2 - 2*p**l + 0*p**3.
3*p**2*(p - 1)
Let s(c) be the third derivative of 0 - 3/40*c**5 - c**3 + c**2 + 1/140*c**7 + 0*c - 1/40*c**6 + 1/2*c**4. Factor s(v).
3*(v - 2)*(v - 1)**2*(v + 2)/2
Suppose 0 = -d - 1, -g + d + 4 = 1. Factor -j**g + j**3 - 3 - 3*j + j**2 + 1.
(j - 2)*(j + 1)**2
Let d(b) be the third derivative of -1/15*b**5 + 0*b**3 - 2/35*b**7 + 0*b**4 + 1/84*b**8 + 0 - 9*b**2 + 0*b + 1/10*b**6. Factor d(x).
4*x**2*(x - 1)**3
Let i = 74/93 - 4/31. Let n(c) be the first derivative of i*c**3 - 1/2*c**2 + 0*c + 4 - 1/4*c**4. Let n(q) = 0. What is q?
0, 1
Let z(p) = p**2 - p - 3. Let i(j) = 0*j - 4 + 4*j**2 - 3*j**2 - j. Let v(t) = -3*i(t) + 4*z(t). Let v(b) = 0. Calculate b.
0, 1
Let o be (-4)/(0 + 3 + -4). Let r(j) be the first derivative of -1/4*j**o + 0*j**3 - 1/10*j**5 - 1 + 1/2*j + 1/2*j**2. Let r(z) = 0. Calculate z.
-1, 1
Let w(z) = -z**4 + z**3 - z**2 - z. Let p(r) = -11*r**4 - 22*r**3 - 24*r**2 - 10*r - 1. Let j(q) = -p(q) + 2*w(q). Factor j(h).
(h + 1)**2*(3*h + 1)**2
Factor 49/4 - 7/2*f + 1/4*f**2.
(f - 7)**2/4
Let a be (-361)/(-95) - (-3)/(-1). Factor 0 - a*n + 2/5*n**2.
2*n*(n - 2)/5
Let p be 4 + (0 - (3 - 2)). Suppose -4*t**5 + 9*t**4 + 3*t**4 + 4*t**2 + 6*t**3 - 18*t**p = 0. Calculate t.
0, 1
Suppose 2*i = 0, -3*p + 3*i = 2*p - 90. Let g be 2 + -4 - (-48)/p. Factor g*a**2 + 0 + 2/3*a**3 + 0*a.
2*a**2*(a + 1)/3
Let v(l) be the first derivative of -l**6/18 - l**5/5 - l**4/4 - l**3/9 + 10. Determine w so that v(w) = 0.
-1, 0
Let j(s) be the third derivative of s**6/900 + s**5/30 + 5*s**4/12 + 25*s**3/9 - 11*s**2. Suppose j(n) = 0. Calculate n.
-5
Let l(x) = -x**3 - 2*x**2 - 7*x + 10. Let s(m) = 2*m**3 + 7*m**2 + 20*m - 29. Let p(h) = 11*l(h) + 4*s(h). Find u, given that p(u) = 0.
-1, 1, 2
Let c be ((-202)/6)/((-124)/93). Let o = -25 + c. Factor o*k**2 + 0 + 1/2*k.
k*(k + 2)/4
Let g(v) be the second derivative of v**5/20 + v**4/3 - v**3 - 5*v**2/2 + 2*v. Let b be g(-5). Factor -6*z**4 + b*z + 2*z**2 + 2*z**5 + 4*z**2 - 4*z + 2*z**3.
2*z*(z - 2)*(z - 1)**2*(z + 1)
Suppose -4*a - n + 1 - 5 = 0, -5*a + 5*n = -20. Find x, given that a - 1/4*x**4 + 0*x - 1/2*x**2 - 3/4*x**3 = 0.
-2, -1, 0
Suppose -y - 3 = -5. Let s be (1 - -1)/y*1. Let a(x) = -x + 1. Let r(v) = v**2 + 8*v - 6. Let g(p) = s*r(p) + 6*a(p). Let g(t) = 0. Calculate t.
-2, 0
Let s(v) be the second derivative of 5*v**7/63 - 8*v**6/45 - 2*v**5/15 + 5*v**4/9 - v**3/9 - 2*v**2/3 - 10*v. Solve s(j) = 0 for j.
-1, -2/5, 1
Let z(y) be the third derivative of y**5/20 + y**4/8 - y**3 - 9*y**2. Factor z(r).
3*(r - 1)*(r + 2)
Let o be ((-3)/1)/(1*-1). Suppose 2*j + b = o*j, -j - 12 = -5*b. Determine x so that x**2 - 4*x - 1 + x**j + 0 + 3*x**3 = 0.
-1, -1/4, 1
Let d(w) be the second derivative of -2*w**7/105 + 2*w**6/75 + w**5/5 - w**4/15 - 16*w**3/15 - 8*w**2/5 + 15*w. Factor d(l).
-4*(l - 2)**2*(l + 1)**3/5
Let l = 3 - -4. Let h be l - 2 - (4 + -1). Find v, given that -2*v + 7*v**3 - h*v**2 + 0*v**2 - 3*v**2 = 0.
-2/7, 0, 1
Suppose 0 + 0*t - 1/3*t**3 + 1/3*t**2 = 0. What is t?
0, 1
Let q(d) be the first derivative of 2*d**3/21 - 10*d**2/7 + 50*d/7 - 16. Factor q(h).
2*(h - 5)**2/7
Factor -2*z**2 + z**3 - 7 + 6 + 1 + z.
z*(z - 1)**2
Let u be (-2)/(-2) - (-4)/2. Factor 0*s**2 - 2*s**4 + 5*s**3 + 5*s**4 + 3*s**2 + s**u.
3*s**2*(s + 1)**2
Let i(o) be the third derivative of 0*o + 0*o**3 + 1/60*o**5 - 1/24*o**4 - 2*o**2 + 0. Factor i(f).
f*(f - 1)
Let n be 1 - ((-5)/(-4) + (-1)/4). Let q(h) be the third derivative of 0*h + 1/420*h**6 - 1/70*h**5 + n + 4/21*h**3 - h**2 + 0*h**4. Factor q(r).
2*(r - 2)**2*(r + 1)/7
Let r be ((-22)/(-33))/(20/21). Let t(a) be the second derivative of -17/12*a**4 + 10/3*a**3 - a**5 - a + 0 + r*a**6 - 2*a**2. Determine z, given that t(z) = 0.
-1, 2/7, 2/3, 1
Let u(z) be the third derivative of -2/9*z**3 + 1/18*z**4 + 0*z + 0 - 1/180*z**5 + 6*z**2. Determine g so that u(g) = 0.
2
Let g(q) = q**5 - 5*q**4 + 7*q**3 + 5*q**2 + 6*q. Let m(l) = -l**5 + 4*l**4 - 6*l**3 - 4*l**2 - 5*l. Let v(r) = -6*g(r) - 7*m(r). Let v(b) = 0. Calculate b.
-1, 0, 1
Let k(n) be the second derivative of -1/18*n**3 + 1/72*n**4 + 1/120*n**5 + 0*n**2 + 0 + n. Suppose k(w) = 0. Calculate w.
-2, 0, 1
Let b(i) be the second derivative of -i**8/3360 - i**7/420 - i**6/180 + i**4/12 + i. Let g(p) be the third derivative of b(p). Factor g(y).
-2*y*(y + 1)*(y + 2)
Determine z so that 0 + 0*z + 1/2*z**4 - 1/2*z**2 + 0*z**3 = 0.
-1, 0, 1
Let w = 17/19 + -15/38. Solve -n**2 + w*n + 0 + 1/2*n**3 = 0 for n.
0, 1
Let c be ((-10)/(-12))/(50/40). Factor -c*a**2 + 4/3 - 2/3*a.
-2*(a - 1)*(a + 2)/3
Let n = 22 - 15. Let z = n - 5. Suppose 6/7*s**z + 2/7*s**3 + 6/7*s + 2/7 = 0. Calculate s.
-1
Let w = -215/3 + 72. Factor 0 + w*a**2 + 1/3*a.
a*(a + 1)/3
Let k = 86 + -343/4. Suppose -k*l**2 - 1/2 + 3/4*l = 0. Calculate l.
1, 2
Let q(p) be the third derivative of 1/300*p**5 - 1/600*p**6 - 1/1050*p**7 + 0*p + 1/120*p**4 + 0 + 3*p**2 + 0*p**3. Factor q(j).
-j*(j - 1)*(j + 1)**2/5
Factor -36*b**3 + 171 - 324*b + 3*b**4 + 27 + 45 + 162*b**2.
3*(b - 3)**4
Let a(l) be the third derivative of -l**9/9072 + l**7/1260 - l**5/360 + 7*l**3/6 + 2*l**2. Let g(n) be the first derivative of a(n). Let g(o) = 0. What is o?
-1, 0, 1
Factor 12*n**2 - n**2 - 2 - 6*n**3 - 5*n**2 - 2*n**4 - 10 + 14*n.
-2*(n - 1)**2*(n + 2)*(n + 3)
Let m(n) = 9*n**2 + 3*n + 6. Let z(h) = 8*h**2 + 3*h + 5. Let l(x) = -5*m(x) + 6*z(x). Factor l(a).
3*a*(a + 1)
Let t be 0/((-2)/(2/2)). Suppose -3*x = 2*x - 15. Factor 0 - 1/2*y**2 + 1/2*y**x + t*y.
y**2*(y - 1)/2
Let w = -4 - -9. Let l be (2/(-30))/(w/(-30)). Factor 0 - l*z**3 - 2/5*z**4 + 2/5*z**2 + 2/5*z.
-2*z*(z - 1)*(z + 1)**2/5
Let k(g) be the third derivative of -g**5/120 - g**4/6 - 4*g**3/3 - 28*g**2. Factor k(i).
-(i + 4)**2/2
Let o(p) be the first derivative of p**4/90 - p**3/45 + 4*p + 10. Let s(l) be the first derivative of o(l). Factor s(b).
2*b*(b - 1)/15
Let s(o) = 3*o + 4. Let b be s(3). Let i(d) = -13*d**3 - d**2 - d. Let x be i(-1). Suppose b*k - x*k + 2*k**2 - 2*k**4 = 0. What is k?
-1, 0, 1
Find c such that 0 + 0*c + 2/7*c**2 = 0.
0
Let q = 680/3 - 1549/6. Let f = q - -33. Solve -1/2*c**2 - f*c - 1 = 0 for c.
-2, -1
Determine d, given that -4*d**3 + 44/3*d - 4*d**2 + 4/3*d**4 - 8 = 0.
-2, 1, 3
Suppose 0*n + 0 - 5/4*n**2 = 0. Calculate n.
0
Let b = 5302/5 + -1060. Solve 0*x**2 + 1/5*x**3 - 3/5*x - b = 0 for x.
-1, 2
Let j be 10/(-45)*(13 + -14). Factor -2/9*q**3 + j*q + 0*q**2 + 0.
-2*q*(q - 1)*(q + 1)/9
Let n(z) be the second derivative of -z**10/196560 + z**9/32760 - z**7/4095 + 5*z**4/12 + 4*z. Let r(d) be the third derivative of n(d). Factor r(w).
-2*w**2*(w - 2)**2*(w + 1)/13
Let 15*x + 4 - 6 - 5*x**2 - 8 = 0. Calculate x.
1, 2
Let k be ((-2)/(-3))/(1*20/15). Factor v - k*v**2 - 1/2*v**3 + 0.
-v*(v - 1)*(v + 2)/2
Factor 0 + 4/15*i**2 + 0*i + 2/15*i**4 + 2/5*i**3.
2*i**2*(i + 1)*(i + 2)/15
Factor -3/7*s**2 - 3/7*s**4 - 6/7*s**3 + 0 + 0*s.
-3*s**2*(s + 1)**2/7
Let o = 18 - 14. Let b(v) be the second derivative of -2*v + 0 + 1/75*v**6 + 1/15*v**3 + 0*v**2 - 1/50*v**5 - 1/30*v**o. Factor b(n).
2*n*(n - 1)**2*(n + 1)/5
Let g(d) = d - 5. Let u(t) = 2*t - 9. Let y(o) = -7*g(o) + 3*u(o). Let a be y(5). Factor 1/2*n**a + 0 + 1/2*n**2 - 1/2*n - 1/2*n**4.
-n*(n - 1)**2*(n + 1)/2
Let m = -161 - -1933/12. Let h(a) be the second derivative of 0*a**2 + 2*a + 0 + 1/6*a**3 + m*a**4. Find y such that h(y) = 0.
-1, 0
Let t = -329/5916 + 3/68. Let m = 257/348 - t. Determine x so that 15/4*x**3 + m*x**5 + 0 + 0*x - 3/2*x**2 - 3*x**4 = 0.
0, 1, 2
Let f(r) be the first derivative of -1/4*r**4 - 2/9*r**3 + 0*r + 2 - 1/15*r**5 + 0*r**2. Suppose f(x) = 0. What is x?
-2, -1, 0
Let w be (6 + 0)/((-3)/(-2)). Solve 1/4*d**3 + 3/4*d**w - 1/2*d**2 + 0*d + 0 = 0.
-1, 0, 2/3
Let j = 19 + -20. Let i = -1/2 - j. Suppose i*n**2 - 1/2 + 0*n = 0. What is n?
-1, 1
Suppose 2 = -3*g - 4*q, -q = -g - 4*g + 12. Let c(n) = -17*n**2 - 25*n - 8. Let j(d) = -2*d