olve t(c) = 0 for c.
-3, 1
Let f(g) = 3*g**2 + 2*g - 8. Let i(k) = k**2 + k - 3. Let v(q) = 3*f(q) - 8*i(q). Factor v(t).
t*(t - 2)
Let a = -41 - -45. Let x(i) be the first derivative of 8*i - 16*i**2 + 10/3*i**3 - 1 + 7/2*i**a. Find t such that x(t) = 0.
-2, 2/7, 1
Let c(w) be the first derivative of w**5/300 + w**4/120 - w**2/2 + 2. Let z(l) be the second derivative of c(l). Factor z(s).
s*(s + 1)/5
Suppose -4*g + 52 = 4*x, 2*g + 23 = 3*x + g. Find i such that 6*i**4 + 8 + 2*i**3 - 7*i**5 + x*i**5 - 14*i**2 - 4*i**3 = 0.
-2, -1, 1
Suppose 15 = -0*g + 5*g. Suppose -6*w**g - 4*w**2 + 2*w**2 + 3*w**2 + 8*w**3 + w**4 = 0. Calculate w.
-1, 0
Let n be 4 + 45/(-10) + 26/20. Factor n*o + 0 + 2/5*o**2.
2*o*(o + 2)/5
Suppose -2*h + 5 + 3 = 0. Find x such that -x**5 - 2*x**3 + 20*x**3 + 4*x**5 + 3*x + 4*x**4 - 16*x**h - 12*x**2 = 0.
0, 1
Solve 6 + 111/2*f**2 - 42*f + 114*f**3 - 273/2*f**4 - 147*f**5 = 0.
-1, 2/7, 1/2
Let s be (-26)/(-7) - 16/(-56). What is v in -4 + 7*v**2 + 3*v**s - 2*v**4 - 11*v - v**3 - 16*v**2 = 0?
-1, 4
Factor f**2 + 0*f**3 - 5*f**3 + 8*f**3 + 2*f**2.
3*f**2*(f + 1)
Let h(o) be the first derivative of o**6/360 - o**5/180 + 3*o**2/2 + 1. Let z(j) be the second derivative of h(j). Factor z(v).
v**2*(v - 1)/3
Suppose 134*y**2 + 64 - 408*y**5 - 2156*y**4 + 25*y**2 - 3708*y**5 + 2433*y**2 + 2912*y**3 + 704*y = 0. Calculate y.
-2/3, -2/7, 1
Let n = -43 - -45. Let s(v) be the first derivative of 2/3*v**3 + v**n + 2 + 0*v. Suppose s(d) = 0. Calculate d.
-1, 0
Let b = -1 + 3. Suppose -5*i - b*y - 3*y = -10, 5*i = 5*y - 10. Suppose 0 + 1/3*t**2 - 8/3*t**5 + 4*t**4 - 2*t**3 + i*t = 0. What is t?
0, 1/2
Suppose 2*m - 16 = -2*m. Factor r**m - 3*r**2 + 0*r - 2*r + 4*r.
r*(r - 1)**2*(r + 2)
Let p be 3*3/(-63)*3 - -1. Factor p*i**5 + 8/7*i**3 + 0 - 10/7*i**4 - 2/7*i**2 + 0*i.
2*i**2*(i - 1)**2*(2*i - 1)/7
Let v be (987/(-28))/(2/8). Let g = -703/5 - v. Solve 2/5*f**2 + 0 + g*f**5 - 2/5*f**3 + 0*f - 2/5*f**4 = 0.
-1, 0, 1
Let u be (-2)/4*(-1770)/315. Let s = u - 15/7. Suppose s*p**2 + 8/3*p + 8/3 = 0. Calculate p.
-2
Let o(g) be the third derivative of -2*g**7/35 - 7*g**6/40 + g**5/10 - 8*g**2. Factor o(h).
-3*h**2*(h + 2)*(4*h - 1)
Let d be 105/(-140) - 22/(-8). Factor 1/3*s**d - 1/3*s + 0.
s*(s - 1)/3
Let p = 633 + -39884/63. Let i = p - -19/63. What is a in -2/9*a**4 + i + 0*a**2 - 4/9*a + 4/9*a**3 = 0?
-1, 1
Let x(a) be the third derivative of a**7/420 - a**5/30 + 3*a**2. Factor x(p).
p**2*(p - 2)*(p + 2)/2
Let j(w) be the first derivative of 1/3*w - 8 + 1/9*w**3 - 1/3*w**2. Determine p, given that j(p) = 0.
1
Let t(q) be the second derivative of q**6/1080 - q**5/180 + q**4/72 - q**3/3 + 3*q. Let x(i) be the second derivative of t(i). Factor x(c).
(c - 1)**2/3
Let b be (-13)/(-3) + 13/((-234)/(-12)). Let m(n) be the second derivative of 2/3*n**3 + 2*n**2 + n + 1/4*n**b + 0 - 13/12*n**4. Factor m(c).
(c - 2)*(c - 1)*(5*c + 2)
Let f be ((-15)/(-4))/(-5)*48/(-162). Determine q, given that -f*q + 2/9*q**3 - 2/9 - 4/9*q**4 + 2/3*q**2 = 0.
-1, -1/2, 1
Find r such that 20 - 6*r - 45*r**2 - 5*r**3 + 16*r + 10*r + 10*r**4 = 0.
-2, -1/2, 1, 2
Factor 1/4*f**2 + 0 - 1/4*f.
f*(f - 1)/4
Let t(m) = -m**2 - m - 1. Let u(c) = -c**3 + 6*c**2 + 4*c + 4. Suppose 3*v = 4*p + 8, p + 0 + 3 = v. Let b(x) = p*u(x) + 4*t(x). Find k such that b(k) = 0.
0, 2
Let y(q) be the third derivative of -q**7/525 - q**6/60 - q**5/25 + q**4/15 + 8*q**3/15 - 37*q**2. Suppose y(x) = 0. What is x?
-2, 1
Let a(b) be the first derivative of 4*b**3/39 - b**2/13 - 5. Factor a(c).
2*c*(2*c - 1)/13
Suppose 0 = -0*a + 3*a - 6. Suppose 5*d - a*m - 15 = 0, -4*d = -d - 3*m - 9. Factor 1/2*o**d + 0 + o**2 + 1/2*o.
o*(o + 1)**2/2
Let h(o) be the third derivative of 4*o**7/105 + o**6/60 - 2*o**5/5 + 5*o**4/12 + 2*o**3/3 + 7*o**2. Factor h(w).
2*(w - 1)**2*(w + 2)*(4*w + 1)
Suppose 27 = 8*s + s. Find u such that -3*u**s + u**2 + 0 - 10/3*u**4 + 2/3*u = 0.
-1, -2/5, 0, 1/2
Let u be 15*(1 + 3/(-9)). Let r(l) = l**2 - 10*l + 3. Let q be r(u). Factor 28*v - 8 + 7*v**3 - 50*v**2 + 2*v**q + 20*v**2.
(v - 2)*(3*v - 2)**2
Let r(m) be the second derivative of -m**6/135 + m**5/45 + m**4/54 - 2*m**3/27 + 10*m. Factor r(d).
-2*d*(d - 2)*(d - 1)*(d + 1)/9
Let d(f) be the third derivative of -2*f**7/105 + 2*f**5/15 - 2*f**3/3 - 6*f**2. Factor d(i).
-4*(i - 1)**2*(i + 1)**2
Let u(m) be the third derivative of 0*m + 0 - 3*m**2 + 0*m**3 - 1/420*m**6 - 1/735*m**7 + 1/210*m**5 + 1/84*m**4. Factor u(s).
-2*s*(s - 1)*(s + 1)**2/7
Let u = -17 - -35/2. Suppose 2*g - 4*g = 0. Factor -1/6*m**4 - 1/6*m - 1/2*m**3 + g - u*m**2.
-m*(m + 1)**3/6
Let w(d) = d**2 - 7*d + 3. Let o be w(7). Suppose -4*l - 5*c + 6 = -0*c, 0 = 5*l + 2*c - 16. Factor -4*n**4 + o*n**4 + 2*n - 2*n**3 - l + 5.
-(n - 1)*(n + 1)**3
Let t(g) be the second derivative of -g**7/252 + g**5/60 - g**3/36 - 2*g. Factor t(o).
-o*(o - 1)**2*(o + 1)**2/6
Let p(u) be the third derivative of u**6/240 - u**5/40 + u**4/16 - u**3/12 + 46*u**2. Suppose p(h) = 0. What is h?
1
Let h(r) be the second derivative of r**4/36 - 7*r**3/18 - 4*r**2/3 - r + 49. Suppose h(u) = 0. Calculate u.
-1, 8
Suppose 14 = 5*o + m - 0, o + 3*m - 14 = 0. Let w(i) be the third derivative of -2/9*i**3 + 1/45*i**6 + 0*i - 2/15*i**5 + 0 + 3*i**o + 1/4*i**4. Factor w(l).
2*(l - 2)*(2*l - 1)**2/3
Let t(a) be the second derivative of 3*a**5/80 - a**4/16 - a. Determine h, given that t(h) = 0.
0, 1
Suppose 0 = -2*r - 5*x, -5*r + 0*x - x = 0. Suppose 5*a + r*a = 20. Factor a*g**2 - 4*g**2 + 2*g**5 + 6*g**3 + g**2 - 6*g**4 - 3*g**2.
2*g**2*(g - 1)**3
Let g(f) be the third derivative of -f**6/24 - f**5/4 - 5*f**4/12 + 8*f**2. Factor g(u).
-5*u*(u + 1)*(u + 2)
Let d = 134 - 131. Factor -s**2 + 1/2*s**d + 0*s + 0.
s**2*(s - 2)/2
Let j(t) be the first derivative of 0*t - 2/5*t**2 - 2/3*t**3 - 3/10*t**4 + 1. Suppose j(v) = 0. Calculate v.
-1, -2/3, 0
Let x be ((-2)/(-4))/((-10)/(-240)*6). Determine a so that x*a - 2 - 1/2*a**2 = 0.
2
Let y be 2 - (-724)/720 - (3 - 0). Let q(u) be the third derivative of 1/72*u**4 - y*u**5 - 3*u**2 + 1/9*u**3 + 0 + 0*u. Factor q(m).
-(m - 2)*(m + 1)/3
Let u(w) be the third derivative of w**7/210 + w**6/120 + 24*w**2. Factor u(p).
p**3*(p + 1)
Let u(v) be the third derivative of -v**2 + 0 + 1/30*v**5 - 1/180*v**6 + 1/6*v**3 - 1/12*v**4 + 0*v. Let z(x) be the first derivative of u(x). Solve z(d) = 0.
1
Suppose -5*l + 15 = 5. Suppose l*x - 1 = 7. Factor -2*m**2 - 6*m**2 + x*m**2 - m.
-m*(4*m + 1)
Suppose -96*w - 25 = -101*w. Let h(c) be the third derivative of 0*c**3 + 0*c + 0 - 2*c**2 - 1/15*c**w - 1/60*c**6 - 1/12*c**4. Factor h(x).
-2*x*(x + 1)**2
Let r = 37 + -71/2. Let c(d) be the first derivative of -2 + r*d**2 - d**3 + 0*d. Suppose c(z) = 0. Calculate z.
0, 1
Let 0*p**2 - 3*p**5 + 0*p**2 + 6*p**4 = 0. What is p?
0, 2
Let f be 80/(-240)*6/(-14). Determine y, given that 1/7*y - 2/7 + f*y**2 = 0.
-2, 1
Let h(q) = -q**3 + 4*q**2 + 2. Let o be h(3). Factor o*j - 3*j + 4*j - 2*j**2 - 18.
-2*(j - 3)**2
Let j = 279/952 - 1/136. Factor 0*b - j*b**2 + 0.
-2*b**2/7
Let c(v) be the first derivative of 2*v**3/21 - v**2/7 - 17. Solve c(o) = 0 for o.
0, 1
Let y(x) be the second derivative of -x**7/210 - x**6/25 - 7*x**5/50 - 4*x**4/15 - 3*x**3/10 - x**2/5 + 48*x. Factor y(t).
-(t + 1)**4*(t + 2)/5
Let z = 0 - 3. Let o be (6/(-4))/(z/6). Solve 0*m - m - m**2 + o*m = 0.
0, 2
Let m be 6/4*(-10)/(-5). Factor -28*i - 15*i**m + 4 + 4 - 5*i**3 + 4*i**4 + 36*i**2.
4*(i - 2)*(i - 1)**3
Let x(g) = 8*g**3 + 29*g**2 + 11*g - 5. Let c(q) = -20*q**3 - 72*q**2 - 28*q + 12. Let j(p) = 5*c(p) + 12*x(p). What is w in j(w) = 0?
-2, -1, 0
Let k be 2/(-5) - (-44)/10. Let b = k - 1. Solve 0*q**2 + 1/2 + 3/4*q - 1/4*q**b = 0 for q.
-1, 2
Let h = -1789/9 + 199. Let 8/9 + 8/9*z + h*z**2 = 0. What is z?
-2
Let p(i) = i**3 - 12*i**2. Let b be p(12). Let c(l) be the second derivative of b + l + 0*l**3 - 1/27*l**6 + 7/90*l**5 - 1/27*l**4 + 0*l**2. Factor c(z).
-2*z**2*(z - 1)*(5*z - 2)/9
Let w(q) = -5*q**3 - 2*q**2 - q + 4. Let l(y) = -y**3 - y**2 + 1. Let b(a) = 4*l(a) - w(a). Solve b(x) = 0.
0, 1
Let q(p) be the third derivative of p**5/60 - p**4/4 + 33*p**2. Factor q(x).
x*(x - 6)
Factor -2*w**3 - 3*w**2 + 5*w**2 - 7 + 7.
-2*w**2*(w - 1)
Let n(q) be the first derivative of 2/3*q + 2/9*q**3 - 2/3*q**2 + 1. Find