t**2 + 0*t**4 - 3/20*t**5 - f*t**7. Factor m(g).
-3*g**3*(g + 1)**2
Let h be 0*(2 - (-6)/(-4)). Let -5 + r**2 + r + 3 + 0*r + h = 0. Calculate r.
-2, 1
Let n be (-4 + 3 - -1)/(-3). Suppose 2*r = -5*w + 14, r - 2 = -n. Factor 0 + 0*b + 1/5*b**w + 1/5*b**3.
b**2*(b + 1)/5
Let s(w) be the first derivative of -3*w**4/4 - w**3 + 2. Solve s(b) = 0 for b.
-1, 0
Let f = -608/3 - -203. Factor 1/6*a - f - 1/6*a**3 + 1/3*a**2.
-(a - 2)*(a - 1)*(a + 1)/6
Let z(p) = -11*p**4 - 5*p**3 + 21*p**2 - p - 10. Let q(u) = 100*u**4 + 45*u**3 - 190*u**2 + 10*u + 90. Let v(c) = 6*q(c) + 55*z(c). Find a such that v(a) = 0.
-2, -1, 1
Suppose -3*c = 4*l + 2, -3*l + 1 = 4*c - 1. Suppose -c*a = 2*a. Factor 1/4*y**4 - 1/4*y**2 + 1/4*y - 1/4*y**3 + a.
y*(y - 1)**2*(y + 1)/4
Let l(z) = -z**2 - 9*z - 15. Let d be l(-6). Let v = 61/2 + -30. Suppose -3/2*i - 1/2*i**d + v + 3/2*i**2 = 0. Calculate i.
1
Let s be 5/1*(-16)/(-10). Determine m, given that 6*m**2 - 3*m - 4*m**2 - 3*m + s*m**2 - 4 = 0.
-2/5, 1
Let u be (-10)/6 + 5 - (2 + 1). Find l such that 1/3*l**3 - 1/3*l**2 - 1/3*l + u = 0.
-1, 1
Let m be 5 + -1 - (-8 - -11). Suppose 4*b + 9/4*b**3 - m - 21/4*b**2 = 0. What is b?
2/3, 1
Let a = 172 + -172. Factor 4/9*y**2 + a - 2/9*y**3 - 2/9*y.
-2*y*(y - 1)**2/9
Let t(i) be the third derivative of -1/120*i**6 + 1/12*i**4 + 0 + 1/60*i**5 + 0*i**3 + 3*i**2 + 0*i. Solve t(o) = 0.
-1, 0, 2
Let z be 6 - ((-15)/(-3) - 3). Suppose 2*p - 5*j + 16 = 0, 22 = -0*p + 3*p + z*j. Factor -2*o**3 + 0*o**p - o**3 - 3*o**2.
-3*o**2*(o + 1)
Let m = -5 - -6. Let v be (m + -7)/(9/(-2)). Factor -v - 1/3*r**2 + 4/3*r.
-(r - 2)**2/3
Factor -5/2*l - 2*l**2 - 1/2*l**3 - 1.
-(l + 1)**2*(l + 2)/2
Let j(g) = -33*g**2 - 29*g + 8. Let s(w) = -w + 1. Let y(d) = -j(d) + 2*s(d). Let y(l) = 0. What is l?
-1, 2/11
Let l = -6047/21 + 288. Let v(a) be the third derivative of -2/105*a**5 + 0*a + a**2 + 0 - 1/1176*a**8 + 0*a**3 + 1/140*a**6 + 2/735*a**7 - l*a**4. Factor v(p).
-2*p*(p - 2)**2*(p + 1)**2/7
Find k, given that 0*k + 0*k**2 - 1/2*k**3 + 7/2*k**4 + 0 = 0.
0, 1/7
Factor -5/2*p + 2*p**2 + 1/2.
(p - 1)*(4*p - 1)/2
Solve 0*p - 3/2*p**5 + 3/2*p**3 + 0 - 1/2*p**2 + 1/2*p**4 = 0 for p.
-1, 0, 1/3, 1
Let b = -2 + 6. Factor 6*w - 6*w**2 - 2*w**2 - b*w + 2*w**3 + 6*w.
2*w*(w - 2)**2
Let f(d) be the third derivative of -d**6/160 - 3*d**5/80 - 9*d**2. Solve f(z) = 0.
-3, 0
Let b(c) be the second derivative of 1/12*c**4 - 1/20*c**5 + c + 0 + 0*c**2 + 1/3*c**3. Find k such that b(k) = 0.
-1, 0, 2
Let v = 33/8 - 13/8. Let h = v + -2. Solve 0*i**2 - 1/4*i**4 - 1/2*i + h*i**3 + 1/4 = 0.
-1, 1
Let a(z) be the third derivative of z**6/30 - z**5/15 - z**4/3 + 2*z**2. Determine q so that a(q) = 0.
-1, 0, 2
Suppose 2*w - 23 - 3 = 0. Factor j**5 - 2*j**4 - 20*j**3 + 2 - 3*j**5 - w*j + 3*j + 12*j**4 + 20*j**2.
-2*(j - 1)**5
Let c(f) be the third derivative of -2/27*f**4 + 1/270*f**5 + 16/27*f**3 + 0*f + 0 + f**2. Factor c(q).
2*(q - 4)**2/9
Let h be (-6)/(-18) - (-4)/3 - 1. Factor 2/3*j**4 + 0*j + 0 - h*j**5 + 2/3*j**3 - 2/3*j**2.
-2*j**2*(j - 1)**2*(j + 1)/3
Suppose 0 = -s - 5*n - 13, 4*n + 8 = -2*s - 0*n. Factor -4*a**2 + 4*a**s - 2*a**2.
-2*a**2
Solve 8*b**5 + 18*b**3 - 17*b**2 + 15*b**2 + 22*b - 24*b - 22*b**4 = 0 for b.
-1/4, 0, 1
Suppose -o - 5 = 3*l - 5*l, -3*l = -4*o. Let x(b) be the second derivative of 0 - 7*b**4 - 15/2*b**3 - o*b**2 + b. Determine f so that x(f) = 0.
-2/7, -1/4
Let a be ((-2)/(-14))/(7 - 6). Determine o so that 1/7*o**2 - 2/7 - a*o = 0.
-1, 2
Suppose 3*s = -2*i + 22, -4*i + 20 = 3*s - 12. Suppose 2*u**4 + 2 - u - s*u**4 - 3*u**2 + u**3 + 3*u**4 = 0. Calculate u.
-2, -1, 1
Suppose 23 = 4*j + 5*q, -j - 3*q = -2 - 9. Let c(f) be the first derivative of -2/27*f**3 + 2/9*f - 1 + 1/9*f**j - 1/18*f**4. Find r such that c(r) = 0.
-1, 1
Factor 10/13*s**4 + 0 - 2/13*s**5 + 14/13*s**2 - 4/13*s - 18/13*s**3.
-2*s*(s - 2)*(s - 1)**3/13
Factor -2 - 3*f**3 - 3*f**2 + 3*f - 3*f**2 + 8*f**2.
-(f - 1)*(f + 1)*(3*f - 2)
Let b(m) = 2*m**2 - 13*m + 6. Let q be b(6). Let v(l) be the second derivative of q*l**3 + 1/50*l**5 + 0*l**2 + 1/150*l**6 + 1/60*l**4 + l + 0. Factor v(c).
c**2*(c + 1)**2/5
What is x in -2*x**3 + 439*x - 6*x**2 - 439*x = 0?
-3, 0
Let h be (-1)/(-1*(-1)/1). Let g be (-6)/(-4)*(1 - h). Find s such that 2*s**2 + 5*s - 3*s - g*s**2 = 0.
0, 2
Let s(x) = 6*x**2 - 4*x - 4. Let j(r) = r**2 - 4*r - 1. Let g(b) = 2*b**2 - 9*b - 2. Let l(a) = -3*g(a) + 7*j(a). Let u(c) = 4*l(c) - s(c). Factor u(i).
-2*i**2
Let b be 6*6/(-27)*-3. Let m(o) = 5*o**5 - 4*o**4 - o**3 + 4*o**2 + 4. Let h(t) = t**5 - t**4 + t**2 + 1. Let k(f) = b*h(f) - m(f). Let k(i) = 0. What is i?
-1, 0, 1
Let o(c) be the third derivative of -c**8/47040 + c**7/4410 - c**6/1008 + c**5/420 - c**4/8 - 2*c**2. Let u(n) be the second derivative of o(n). Factor u(q).
-(q - 2)*(q - 1)**2/7
Let i be ((-30)/15)/((-6)/9). Let v(n) be the first derivative of 9/8*n**4 + 1/4*n**6 + 1/2*n**i + 0*n + 9/10*n**5 + 0*n**2 + 2. Factor v(w).
3*w**2*(w + 1)**3/2
Let x(b) = b**3 + 5*b**2 - 2*b - 6. Let c(o) = o + 1. Let u be c(-6). Let w be x(u). Factor 1/2*l**w + 2 + 3*l**3 + 13/2*l**2 + 6*l.
(l + 1)**2*(l + 2)**2/2
Suppose -2*q = -7*q + 15. Factor m**3 + 7*m**q - 4*m**3 - 2*m + 2 - 2*m - 2*m**4.
-2*(m - 1)**3*(m + 1)
Let w(f) be the third derivative of 0*f**5 + 1/105*f**7 + 0*f**3 + 0 + 0*f + 1/30*f**6 + 0*f**4 - 3*f**2. What is h in w(h) = 0?
-2, 0
Let r(f) be the third derivative of f**6/120 - 7*f**4/24 - f**3 + 2*f**2. Factor r(x).
(x - 3)*(x + 1)*(x + 2)
Let o(p) be the first derivative of 5*p**6/6 + 7*p**5/5 - 3*p**4/4 - 7*p**3/3 - p**2 + 7. Let o(t) = 0. Calculate t.
-1, -2/5, 0, 1
Let v be -2*(11 - 3 - 4). Let c be (12/v)/((-3)/4). What is y in 11/4*y - 1/2 - 4*y**c + 7/4*y**3 = 0?
2/7, 1
Let p(g) be the third derivative of -g**5/20 + 3*g**4/4 - 4*g**3 - 22*g**2. Factor p(v).
-3*(v - 4)*(v - 2)
Let v(f) be the third derivative of 0 + 0*f**4 - 1/60*f**5 + 1/120*f**6 + 0*f + 0*f**3 - 5*f**2. Factor v(i).
i**2*(i - 1)
Let o(x) be the second derivative of x**6/15 - x**4/3 + x**2 + 4*x. Factor o(q).
2*(q - 1)**2*(q + 1)**2
Let a(h) be the first derivative of -1/4*h**3 + 0*h**2 - 8 + 3/4*h. Factor a(f).
-3*(f - 1)*(f + 1)/4
Suppose 0*j**3 - 6*j**2 - 6*j + j**3 - 2 - 3*j**3 = 0. What is j?
-1
Let u be 5*1 + (-14 - -11). Suppose 1/6*b**3 + 1/6 - 1/6*b**u - 1/6*b = 0. Calculate b.
-1, 1
Let p be 12/(-8)*4/(-3). Suppose 3*o - 5*o + p = 0. Factor 9/4*w**3 + 4*w + 21/4*w**2 + o.
(w + 1)*(3*w + 2)**2/4
Let n be (-12 - -9) + (-3362)/(-5). Let m = -663 + n. Suppose -18/5*h**5 + 0 - 42/5*h**4 + 0*h - 8/5*h**2 - m*h**3 = 0. What is h?
-1, -2/3, 0
Let j(u) be the third derivative of -u**9/30240 - u**8/3360 - u**7/840 - u**6/360 - u**5/15 - 9*u**2. Let k(c) be the third derivative of j(c). Factor k(d).
-2*(d + 1)**3
Let c = 61 - 61. Let l(o) be the third derivative of 0*o**3 + 5*o**2 - 1/240*o**5 - 1/480*o**6 + c*o**4 + 0 + 0*o. Factor l(h).
-h**2*(h + 1)/4
Find x, given that -7/2*x**2 - 1 + 9/2*x = 0.
2/7, 1
Let z(o) be the second derivative of o**4/18 - 8*o**3/27 + 4*o**2/9 + 9*o. Factor z(c).
2*(c - 2)*(3*c - 2)/9
Let f be (6/9)/((-12)/(-837)). Let c = -46 + f. Factor 1/2*u + 0 - c*u**3 + 0*u**2.
-u*(u - 1)*(u + 1)/2
Let b(f) be the third derivative of -f**7/210 - 7*f**6/120 - f**5/10 - 43*f**2. Solve b(o) = 0.
-6, -1, 0
Suppose d = -2 + 8. Suppose 4*g = d*g - 4. Factor 4*f**g + f - 6*f**2 + f**2.
-f*(f - 1)
Let w(h) be the first derivative of 3*h**4/28 - h**3/7 - 6*h**2/7 + 12*h/7 + 20. Factor w(l).
3*(l - 2)*(l - 1)*(l + 2)/7
Let a = 84 - 503/6. Let d(k) be the first derivative of -a*k**3 + 2 + 0*k + 1/2*k**2. Factor d(t).
-t*(t - 2)/2
Let x(b) = -3*b**3 - 3*b**2 - 2*b - 3. Let a be x(-2). Let d = a - 9. Suppose s**2 + d*s + 1 - s - s = 0. What is s?
-1
Let n = -1727/7 + 247. Solve 4/7*r**3 + n + 2/7*r**2 + 1/7*r**5 - 4/7*r**4 - 5/7*r = 0 for r.
-1, 1, 2
Suppose 9 + 16 = 5*v. Let p(g) be the third derivative of -1/105*g**7 + 1/3*g**3 + 4*g**2 + 1/6*g**4 + 0 + 0*g - 1/30*g**6 + 0*g**v. Factor p(m).
-2*(m - 1)*(m + 1)**3
Let g(d) be the second derivative of -d**10/151200 - d**9/75600 + d**8/33600 + d**7/12600 - d**4/4 + 2*d. Let v(a) be the third derivative of g(a). Factor v(x).
-x**2*(x - 1)*(x + 1)**2/5
Let s = 734154/7 + -104514. Let k = 366 - s. Find b, given that k*b**2 +