.
2*s**3*(s - 1)/7
Let n = 4 - 5. Let k be (-3 + -2 - n)*-1. Solve 18*b**4 + 7*b**2 - 25*b**2 - 4*b + k*b**3 + 0*b = 0 for b.
-1, -2/9, 0, 1
Let s be (-2 - 0) + 7 - 1. Factor 0*v - s + 2*v + 4 + v**2.
v*(v + 2)
Determine d, given that -4/11 + 2/11*d + 2/11*d**2 = 0.
-2, 1
Factor -6*m**3 + 13*m**2 + 0 + 1 - 2*m**4 - 12*m + 3*m**4 + 3.
(m - 2)**2*(m - 1)**2
Suppose -2 = -m - 0. Factor 5*u + 0*u - u - 2*u - u**m.
-u*(u - 2)
Let z(j) = j**3 + 16*j**2 - 22*j - 85. Let v be z(-17). Suppose v + 1/7*u**5 + 0*u**4 + 0*u**2 + 0*u - 1/7*u**3 = 0. Calculate u.
-1, 0, 1
Let r(u) be the first derivative of -2*u**5/15 + 2*u**4/3 - 4*u**3/3 + 4*u**2/3 - 2*u/3 - 6. Factor r(k).
-2*(k - 1)**4/3
Determine g, given that g**2 - 12 + 34*g + 0*g**2 - 9*g**2 - 2*g**2 = 0.
2/5, 3
Let w(f) be the third derivative of -f**7/420 + f**6/60 - f**5/40 + 6*f**2. Solve w(i) = 0.
0, 1, 3
Let h(q) = -3*q**2 - 8*q - 7. Let u(i) = i**2 + 4*i + 3. Suppose -2*b + 3 = -3*b. Let t(w) = b*h(w) - 7*u(w). Factor t(c).
2*c*(c - 2)
Let m(o) be the second derivative of 0*o**3 + 3/10*o**6 + 2*o - 1/14*o**7 + 1/4*o**4 + 0*o**2 - 9/20*o**5 + 0. Factor m(w).
-3*w**2*(w - 1)**3
Let c be 4/10 - (-47)/(-5). Let h(g) = 24*g**3 - 6*g**2 + 9. Let k(q) = -12*q**3 + 3*q**2 - 4. Let o(v) = c*k(v) - 4*h(v). Suppose o(m) = 0. Calculate m.
0, 1/4
Determine f, given that 8/7*f**4 + 0 - 2/7*f**5 + 0*f + 4/7*f**2 - 10/7*f**3 = 0.
0, 1, 2
Determine n so that 1/5*n**3 - 8/5*n - 7/5*n**2 + 0 = 0.
-1, 0, 8
Factor -w**4 - 16*w**3 + 36*w**3 - 22*w**3 - w**2.
-w**2*(w + 1)**2
Suppose 0*l = 16*l - 48. Let z(q) be the first derivative of 4 + 1/2*q**2 + 3/4*q + 1/12*q**l. Solve z(w) = 0.
-3, -1
Let o(u) be the first derivative of 0*u + 11/5*u**5 - 1/2*u**2 + 9/4*u**4 + 1/3*u**3 - 7 + 2/3*u**6. Suppose o(j) = 0. What is j?
-1, 0, 1/4
Let z be 0 + 64/(-20) + 4. Solve -6*p + 10*p**2 + z = 0.
1/5, 2/5
Let a(w) be the first derivative of -w**7/42 + w**6/30 + 3*w**5/20 - w**4/12 - w**3/3 + 3*w + 4. Let n(k) be the first derivative of a(k). Factor n(h).
-h*(h - 2)*(h - 1)*(h + 1)**2
Factor 1/4*r**2 + 1/4*r**5 + 3/4*r**3 + 3/4*r**4 + 0 + 0*r.
r**2*(r + 1)**3/4
Let c(q) be the third derivative of -q**6/1260 - q**5/210 - 19*q**2. What is m in c(m) = 0?
-3, 0
Let x be 3 - 6 - (-10 - -1). Let z = x - -2. Factor -4*l**2 - 8*l**2 + 4*l + 6*l**2 - z*l**2.
-2*l*(7*l - 2)
Let u(r) be the third derivative of r**7/1260 + r**6/120 + 31*r**2. Determine i, given that u(i) = 0.
-6, 0
Let a be 14/6 - 2/6. Let k be (a/(-15))/(4/(-40)). Factor k*w**2 + 2/3*w**3 + 0 + 2/3*w.
2*w*(w + 1)**2/3
Suppose -f + 2 = c + c, 0 = 5*f + c - 19. Determine x, given that 4*x**2 - 2*x**4 + 5*x**f - 9*x + 5*x**3 - x**2 + 4*x**3 - 6 = 0.
-2, -1, 1
Let m(q) = 15*q + 6. Let l be m(-9). Let b = 647/5 + l. Suppose 0*j - b*j**2 + 2/5 = 0. Calculate j.
-1, 1
Let b(j) = -j**2 - 7*j - 6. Let l be b(-6). Let z be ((-24)/(-18))/((-4)/(-6)). Factor 3 - 6*q + 4*q**2 + q + l - z.
(q - 1)*(4*q - 1)
Let z(s) = 2*s - 5. Let y be z(4). Suppose 4*k - 9 = y. Factor 0*j + 2/9*j**2 + 2/9*j**k + 0.
2*j**2*(j + 1)/9
Let l = -13 + 13. Let d(n) be the third derivative of 0 + 0*n - 1/72*n**4 + 1/90*n**5 - n**2 + l*n**3. Factor d(t).
t*(2*t - 1)/3
Let v be 2/(-4) + (-13)/(-2). Determine h, given that 0*h**5 - 3*h**5 + 6*h**4 - 24*h**2 + 26*h**3 - v - 20*h**3 + 21*h = 0.
-2, 1
Let x(k) = 3*k**4 + 5*k**3 + 2*k**2. Let a(m) = 10*m**4 + 2*m**2 - 6*m**3 + 22*m**3 + 4*m**2. Let p(w) = 5*a(w) - 16*x(w). Solve p(l) = 0 for l.
-1, 0, 1
Suppose -4*h + 14 + 2 = 0. Find f, given that -3*f**h - 3*f**3 - 55*f - 2*f**2 + 5*f**2 + 58*f = 0.
-1, 0, 1
Let u(g) be the first derivative of -2*g**3/33 - 4*g**2/11 - 6*g/11 + 15. Factor u(k).
-2*(k + 1)*(k + 3)/11
Find a, given that 0*a - 2/3*a**2 + 0 = 0.
0
Suppose -4*i = 5*j, 0 = -5*i + 3*i - 4*j. Factor 0*f - 1/3*f**2 + i.
-f**2/3
Let r(n) = 3*n + 48. Let v be r(-16). Suppose v - 3/4*l**2 + 0*l = 0. Calculate l.
0
Let m be (1 + -2)*2 + 7. Let s = m - 3. Let -3*w**s + 4*w**3 + 3*w - 3*w**3 + 1 - 2 = 0. Calculate w.
1
Let v(c) be the second derivative of -c**3/6 - 3*c**2/2 + c. Let h be v(-3). Factor 0*b + h + 3/5*b**2 + 3/5*b**4 + 6/5*b**3.
3*b**2*(b + 1)**2/5
Let o(d) be the third derivative of 0 - 1/108*d**4 + 0*d - 3*d**2 - 1/90*d**5 + 2/27*d**3. Factor o(u).
-2*(u + 1)*(3*u - 2)/9
Let z(d) be the second derivative of -7*d**6/135 - d**5/10 + 2*d**4/9 + 4*d**3/27 + 3*d. Find y such that z(y) = 0.
-2, -2/7, 0, 1
Let y be 7/77*(3 - 1). Let k be ((-8)/(-20))/(33/135). Let -12/11*p - y*p**2 - k = 0. Calculate p.
-3
What is n in -1/3*n**2 - 1/3*n**4 + 8*n - 16/3 - 2*n**3 = 0?
-4, 1
Suppose n = -d, 0 = 2*n - 3*d - 2*d. Suppose n*m - 1/4*m**2 + 1/4 = 0. Calculate m.
-1, 1
Suppose -2*p + 1 + 3 = 0. Let i be -1 + p - (-1 - -2). Let 1/2*m**4 + 1/2*m**2 + i + m**3 + 0*m = 0. Calculate m.
-1, 0
Let y(c) be the second derivative of c**4/24 + c**3/12 + 15*c. Suppose y(w) = 0. What is w?
-1, 0
Let -6/7 + 4/7*n**2 - 8/7*n**3 + 2/7*n**4 + 8/7*n = 0. Calculate n.
-1, 1, 3
Solve -1/4*f**4 + 0*f + 3/4*f**3 - 1/2*f**2 + 0 = 0.
0, 1, 2
Let o = -8 - -8. Factor -2*s**2 - 2*s**4 + 3*s**3 + o*s**4 + 5*s**4 - 4*s**4.
-s**2*(s - 2)*(s - 1)
Let m = 2 - -1. Factor -2*p - p - 3*p**4 + 3*p**3 + m*p.
-3*p**3*(p - 1)
Let c(h) be the third derivative of h**8/10080 + h**7/2520 - h**6/180 - h**5/10 + 5*h**2. Let g(b) be the third derivative of c(b). Factor g(r).
2*(r - 1)*(r + 2)
What is x in -3/7*x**2 - 18/7*x + 3 = 0?
-7, 1
Suppose 2*g = -2*g - 4*z + 12, 0 = 3*g - 5*z - 9. Let a be (-2)/g*15/(-5). Solve 4*s + a*s**2 + 2 + 3*s**2 - 3*s**2 = 0.
-1
Suppose -4*y - 273 + 105 = 0. Let r = -167/4 - y. Find b, given that b - 3/4*b**2 - r = 0.
1/3, 1
Find g such that -1/2*g**3 - 3/2*g - 3/2*g**2 - 1/2 = 0.
-1
Let s(a) be the third derivative of a**7/3360 - a**6/720 + a**5/480 - 2*a**3/3 - 3*a**2. Let l(g) be the first derivative of s(g). Factor l(m).
m*(m - 1)**2/4
Let o = 13 + -8. Let h = 7 - o. Factor 0*a - 2/9*a**3 + 0 - 2/9*a**h.
-2*a**2*(a + 1)/9
Let j(w) = 4*w**5 - 3*w**4 - 3*w**3 + 2*w**2 + w. Let x(v) = v**5 - v**2 + v. Let u = -1 + 0. Let r(q) = u*j(q) + x(q). Factor r(t).
-3*t**2*(t - 1)**2*(t + 1)
Suppose -9 - 6 = 5*p. Let l be -10*2/(p + -1). Suppose -11*n**5 + 2*n**3 - 6*n**4 + n**l + 2*n**3 = 0. Calculate n.
-1, 0, 2/5
Let h(i) be the third derivative of -i**7/1050 + 7*i**6/300 - 73*i**5/300 + 7*i**4/5 - 24*i**3/5 - 15*i**2 - 1. Factor h(b).
-(b - 4)**2*(b - 3)**2/5
Factor -10 - b**2 - 6 + 17 - 2*b + 2*b**2.
(b - 1)**2
Factor -5*d**4 - d**2 - 2*d**3 + 3*d**3 + 4*d**3 + 11*d**2.
-5*d**2*(d - 2)*(d + 1)
Let b be (-36)/60 - (2 + -3). Let 0 + 2/5*m**3 - b*m + 0*m**2 = 0. What is m?
-1, 0, 1
Let r(x) be the first derivative of -x**5/5 + x**4/6 + 5*x**3/3 + 2*x**2 - 5*x + 2. Let u(m) be the first derivative of r(m). Factor u(t).
-2*(t - 2)*(t + 1)*(2*t + 1)
Let l(a) be the first derivative of -a**6/54 - a**5/15 - a**4/36 + a**3/9 + a**2/9 + 18. Solve l(x) = 0 for x.
-2, -1, 0, 1
Suppose -1/4*f**3 - 1/4*f**2 + 1/4 + 1/4*f = 0. Calculate f.
-1, 1
Let c(q) = -21*q**3 - 56 - 183*q + 0*q**3 - 105*q**2 - 13. Let a(r) = -3*r**3 - 15*r**2 - 26*r - 10. Let v(g) = -15*a(g) + 2*c(g). Find j such that v(j) = 0.
-2, -1
Let g(r) = -r**3 - 8*r**2 - 7*r + 8. Let a be g(-7). Determine i, given that 1 - 21*i**2 + 2 - 2 - 12*i + a = 0.
-1, 3/7
Let l = -26 - -16. Let x be l/(-8) + 1 + -2. Factor -x*c**2 + 3/4*c - 1/2.
-(c - 2)*(c - 1)/4
Suppose 0 = -x + 3*j - 2*j - 2, x + 10 = 3*j. Factor -g + 0 + 0*g**x + 1/4*g**3.
g*(g - 2)*(g + 2)/4
Factor -1/8*w**3 - 1/8*w**2 + 1/8*w**4 + 0 + 1/8*w.
w*(w - 1)**2*(w + 1)/8
Let v(k) be the third derivative of k**9/453600 - k**8/37800 + k**7/9450 - k**5/20 - 10*k**2. Let z(r) be the third derivative of v(r). Factor z(m).
2*m*(m - 2)**2/15
Let b = 118248 + -30744423/260. Let o = b - -2/65. Solve o*q**2 + 0 + 3/4*q**4 + 0*q + 3/4*q**3 + 1/4*q**5 = 0.
-1, 0
Let w(x) be the third derivative of -x**8/8960 - x**7/3360 + x**6/480 - x**4/8 + 6*x**2. Let d(y) be the second derivative of w(y). Factor d(t).
-3*t*(t - 1)*(t + 2)/4
Let r(o) be the third derivative of -o**5/150 + o**4/60 + 2*o**3/5 + 21*o**2. Factor r(y).
-2*(y - 3)*(y + 2)/5
Factor 2/5*u**3 + 0 + 3/5*u**2 + 1/5*u.
u*(u + 1)*(2*u + 1)/5
Let x = -20 - -20. Solve 0 + x*g + 2/5*g**2 = 0 for g.
0
Factor -5/3*k**5 + 0*k**2 + 5