 t. Let q(a) = 33*d(a) - 2*x(a). Factor q(b).
3*b*(b - 1)
Suppose 7 + 14 = 3*f. Let r = f + -4. Determine u so that 2*u + u + 0*u**2 - 3 + 3*u**2 - r = 0.
-2, 1
Let w(n) = -n**2 - 12*n - 11. Let b be w(-13). Let o(k) = 9*k**2 + 17*k. Let c(u) = 44*u**2 + 84*u. Let z(x) = b*o(x) + 5*c(x). Solve z(a) = 0.
-3, 0
Let y(p) be the third derivative of p**6/144 + 11*p**5/72 + 25*p**4/72 - 58*p**2. Solve y(g) = 0 for g.
-10, -1, 0
Suppose -4*i + 6 + 6 = 0. Factor -s + 7*s**i + s**2 + 3*s - 2 + s**2 - 9*s.
(s - 1)*(s + 1)*(7*s + 2)
Let q(l) = 2*l**3 + 8*l**2 + 4*l - 7. Let p(o) = 2*o**2 - 1. Let m(v) = -14*p(v) + 2*q(v). Solve m(r) = 0.
0, 1, 2
Suppose -3*t = -2*t - 225. Let v be (-72)/t*10/(-2). Factor 2/5*s**2 + v - 8/5*s.
2*(s - 2)**2/5
Let m = -2552 - -51053/20. Let w = m - 2/5. Find k, given that k + 1 + w*k**2 = 0.
-2
Factor -h**4 + 15*h**3 - 6*h**2 - 4*h**4 - 4*h**4.
-3*h**2*(h - 1)*(3*h - 2)
Solve 0*k + 0*k**3 + 2/7*k**2 - 2/7*k**4 + 0 = 0.
-1, 0, 1
Let b be (-138)/(-161)*14/8. Factor m + 13/4*m**3 + 1/4*m**5 + 3*m**2 + b*m**4 + 0.
m*(m + 1)**2*(m + 2)**2/4
Let q be 1 + 1/(-1) + 2. Suppose -q - 4 = -3*s. Factor 1/4*p**3 + 1/4*p**s + 0 - 1/4*p - 1/4*p**4.
-p*(p - 1)**2*(p + 1)/4
Let s(f) be the first derivative of 3*f**5/5 + 9*f**4/4 + 2*f**3 - 17. Factor s(o).
3*o**2*(o + 1)*(o + 2)
Suppose 11*b = 14*b - 9. Let h(f) be the second derivative of 0 - 2*f - 1/70*f**5 - 1/14*f**4 - 1/7*f**b - 1/7*f**2. Factor h(k).
-2*(k + 1)**3/7
Let i(l) be the second derivative of l**5/300 - l**4/60 + l**3/30 + 2*l**2 - 2*l. Let y(f) be the first derivative of i(f). Factor y(r).
(r - 1)**2/5
Suppose 34*v - 12*v - 44 = 0. Find i such that 2/7*i**3 - 16/7 + 24/7*i - 12/7*i**v = 0.
2
Factor -4 + 8*h - 6*h**2 + 2*h**3 - 1/4*h**4.
-(h - 2)**4/4
Let j = 313/2 - 156. Solve -j*i**4 + 1/2*i**2 + 0 - 1/2*i**5 + 0*i + 1/2*i**3 = 0.
-1, 0, 1
What is i in -14 - 14 - 16 + 14*i**2 + 12 - 2*i**3 - 16*i = 0?
-1, 4
Let v(k) be the second derivative of -k**4/78 + k**3/39 + 2*k**2/13 + 5*k. Factor v(y).
-2*(y - 2)*(y + 1)/13
Let c(s) be the third derivative of -s**6/540 + s**5/90 - s**4/36 + s**3/27 - 6*s**2. What is b in c(b) = 0?
1
Let t = 254 - 254. Determine l so that -2*l - 4/3 + t*l**2 + 2/3*l**3 = 0.
-1, 2
Let i(f) be the second derivative of -f**9/37800 + f**8/16800 - f**4/4 - 2*f. Let n(r) be the third derivative of i(r). Factor n(a).
-2*a**3*(a - 1)/5
Solve 3/2*u**5 + 3/2*u**4 - 54 - 39/2*u**3 + 72*u - 3/2*u**2 = 0.
-3, 1, 2
Solve -1/4*v**3 - 1/4*v**2 + 1/4 + 1/4*v = 0 for v.
-1, 1
Let f(y) = -2*y**2 + 8*y - 18. Let o(w) = 1. Let r be (1 + -4 - -2) + 3. Suppose 5*z - 4*j = 17, -3*z + r*j - 4*j = 3. Let b(g) = z*f(g) + 10*o(g). Factor b(l).
-2*(l - 2)**2
Let h(q) be the first derivative of 7*q**3/3 - 15*q**2 + 8*q + 12. Factor h(v).
(v - 4)*(7*v - 2)
Factor 50*z - 4 + 31*z - 8*z**2 - 71*z + 4*z**3 - 2*z**3.
2*(z - 2)*(z - 1)**2
Let m be (4/(-20))/(-2*(-1)/(-5)). Factor -w**2 + 0*w**3 + w**4 + 0 + m*w - 1/2*w**5.
-w*(w - 1)**3*(w + 1)/2
Factor 0*x + x**3 + 31*x**2 - 28*x**2 + 2*x.
x*(x + 1)*(x + 2)
Let x(h) be the first derivative of 0*h + 3/20*h**4 + 3 - 3/25*h**5 - 3/10*h**2 + 1/5*h**3. Factor x(k).
-3*k*(k - 1)**2*(k + 1)/5
Let o be 1/4 + (-98)/(-56). Factor 2*c**3 + 0*c - 4*c**4 - 1/3*c**o + 0 + 8/3*c**5.
c**2*(2*c - 1)**3/3
Let x(m) be the first derivative of -m**6/9 - 2*m**5/15 + m**4/3 + 15. What is u in x(u) = 0?
-2, 0, 1
Suppose q - 4*q - 4*a + 13 = 0, 4*q - 2*a - 10 = 0. Suppose 48 = 2*c + 40. Suppose 32*x**3 + 27*x**c - 12*x**2 - 102*x**4 + 24*x**3 + 4*x**q = 0. What is x?
0, 2/5
Let k(l) be the first derivative of l**6/1620 - l**5/540 - 2*l**3 - 5. Let m(w) be the third derivative of k(w). Solve m(o) = 0.
0, 1
Suppose 0 = -2*k + 4*k - 6. Let y be (-82)/(-126) + k/(-7). What is h in -2/9*h**4 - y*h**3 + 0 + 2/9*h + 2/9*h**2 = 0?
-1, 0, 1
Solve -5/6*g**2 + 5/6*g**3 - 1/3*g + 5/6*g**4 - 1/2*g**5 + 0 = 0.
-1, -1/3, 0, 1, 2
Let q be (-79)/93 + 3/2. Let c = 1/62 + q. Let c*b + 1/3*b**2 + 1/3 = 0. What is b?
-1
Let z(x) = 3*x**4 + x**3 + 14*x**2 + 8*x + 8. Let q(a) = -2*a**4 - a**3 - 9*a**2 - 5*a - 5. Let t(j) = -8*q(j) - 5*z(j). Factor t(i).
i**2*(i + 1)*(i + 2)
Factor -6/7 + 3/7*g**2 + 3/7*g.
3*(g - 1)*(g + 2)/7
Suppose 246 = 3*b - 6*b - 4*z, -4*z = -12. Let t be 10/(-45) + b/(-63). Factor 2/7 - t*q**3 + 12/7*q**2 - 8/7*q + 2/7*q**4.
2*(q - 1)**4/7
Suppose 0 + 3/2*t**2 - 6*t = 0. What is t?
0, 4
Find a such that 9*a + 5*a**4 - 10 - a + 15*a**3 - 16*a - 7*a + 5*a**2 = 0.
-2, -1, 1
Let o(g) be the first derivative of -g**4/18 - 2*g**3/9 - g**2/3 - 2*g/9 - 9. Factor o(w).
-2*(w + 1)**3/9
Let t(k) = 3*k**5 - 7*k**3 + 4*k**2 + 2. Let c(v) = 12*v**5 - 27*v**3 + 15*v**2 + 9. Let p(r) = -2*c(r) + 9*t(r). Find q such that p(q) = 0.
-2, 0, 1
Let w(j) = -2*j**3 + 24*j**2 + 2. Let h be w(12). Suppose 3/4*o**4 + 1/4*o**5 - 1/4 + 1/2*o**3 - 1/2*o**h - 3/4*o = 0. Calculate o.
-1, 1
Let m = 11 - 8. Let g = 5 - m. Factor -u**g + 0*u**2 + 2 + 4*u + 3*u**2.
2*(u + 1)**2
Factor -5 + 32*b - 4 - 4096*b**4 + 3 + 5 - 384*b**2 + 2048*b**3.
-(8*b - 1)**4
Let h(l) be the first derivative of 5*l**6/36 + l**5/2 - 10*l**3/9 - 1. Factor h(s).
5*s**2*(s - 1)*(s + 2)**2/6
Suppose 0 = -a + d, -3*d + 9 - 5 = -a. Factor -2/5*k**4 + 0*k + 2/5*k**a - 2/5*k**5 + 0 + 2/5*k**3.
-2*k**2*(k - 1)*(k + 1)**2/5
Let s(p) = p**3 - 7*p**2 + 7*p - 2. Let m be s(6). Let h = -1 + m. Let -l + l**h + 4*l**2 - 5*l**2 + 0*l**2 + l**4 = 0. What is l?
-1, 0, 1
Let m(y) = -6*y + 6. Let o(u) = u**2 - u. Let d(a) = -m(a) + 3*o(a). Factor d(f).
3*(f - 1)*(f + 2)
Solve 2*u**2 + 1 - 72*u**5 - 7*u**4 + 4*u**2 - 2*u**3 + 69*u**5 + 5*u = 0.
-1, -1/3, 1
Let t(u) be the second derivative of u**7/21 - u**6/45 - u**5/15 - 7*u. Factor t(n).
2*n**3*(n - 1)*(3*n + 2)/3
Let v = 395/782 + -2/391. Factor v*s**5 + 0 + 0*s + 3/2*s**3 + 1/2*s**2 + 3/2*s**4.
s**2*(s + 1)**3/2
Solve -12*w + 5543*w**3 + 10*w**2 - 5546*w**3 + 5*w**2 = 0 for w.
0, 1, 4
Let t = -4 + 0. Let d be (-9)/(-12) - 5/t. Find h, given that -d*h + 4*h**3 - h**3 - h**3 = 0.
-1, 0, 1
Let a(h) be the first derivative of -1/6*h**3 - 1/2*h - 4 + 1/2*h**2. Factor a(s).
-(s - 1)**2/2
Let b be (((-18)/20)/9)/((-12)/10). Let o(f) be the third derivative of -2*f**2 + 0*f + b*f**4 - 1/3*f**3 - 1/60*f**6 + 1/30*f**5 + 0. What is l in o(l) = 0?
-1, 1
Suppose 0 = -0*t + 5*t + 5. Let x(n) = n**3 - n**2. Let y(b) = 4*b**3 - 5*b**2 + b. Let m = -6 + 9. Let f(q) = m*x(q) + t*y(q). Factor f(g).
-g*(g - 1)**2
Let p be 0 + 1 + (-889)/5. Let j = p - -178. Factor 2/5*g + 6/5*g**3 - 2/5*g**4 - j*g**2 + 0.
-2*g*(g - 1)**3/5
Factor 14 + 12 - 4*b - 32 + 2*b**2.
2*(b - 3)*(b + 1)
Let h = 15 + -12. Factor h*y**2 - 3*y**4 + 0*y**3 + 3*y - 3*y**3 + 0*y**3.
-3*y*(y - 1)*(y + 1)**2
Let n(l) be the second derivative of -l**5/140 + l**4/42 + l**3/42 - l**2/7 + 9*l. Solve n(x) = 0.
-1, 1, 2
Let f(i) be the third derivative of 2*i**7/105 - i**6/30 - i**5/5 + i**4/6 + 4*i**3/3 - 7*i**2. Factor f(q).
4*(q - 2)*(q - 1)*(q + 1)**2
Let a be 4/56*35*(-72)/(-70). Let -2*v + 4/7 + a*v**2 + 2/7*v**4 - 10/7*v**3 = 0. Calculate v.
1, 2
Factor -35*h + 6*h**2 + 35*h - h**2.
5*h**2
Let 5 + 2 - 4*m - 8*m**2 - 1 - 2 = 0. Calculate m.
-1, 1/2
Let w be 3 + -2 - 2/(-1). Let t be -3 + w + 2/8. Find s, given that -s + t*s**4 - s**3 + 1/4 + 3/2*s**2 = 0.
1
Let -29*d**3 + 902*d - 173*d + 32*d**3 - 2187 - 81*d**2 = 0. What is d?
9
Suppose -24 + 19 = -b. Suppose -b*n - 4 = -n + t, -n + t = -4. Solve 2/7*v + 0*v**2 + 2/7*v**5 + 0*v**4 - 4/7*v**3 + n = 0.
-1, 0, 1
Let f(x) be the third derivative of 0*x**3 - 1/40*x**6 - 4*x**2 + 0*x + 1/105*x**7 + 0 + 0*x**5 + 1/24*x**4. Factor f(o).
o*(o - 1)**2*(2*o + 1)
Let y be (-5)/(15/12) - 72/(-18). What is t in 2/7 - 2/7*t**2 + y*t = 0?
-1, 1
Let a = -1 - 1. Let u be 1 + 1 - a/(-3). What is b in 2/3*b**2 - 2/3 - 4/3*b + u*b**3 = 0?
-1, -1/2, 1
Let s(l) be the third derivative of 0*l + 0 + 16/3*l**3 - 7*l**2 + 14/3*l**4 + 22/15*l**5 + 1/6*l**6. Find m, given that s(m) = 0.
-2, -2/5
Suppose 2*j - 5 = 5*o - 0, -2*o - 4*j = 2. Let f = o + 3. Factor -5*h**3 + 3*h**4 - h - 2*h**4 - h**f + 3*h**5 + 3*h.
h*(h - 1)*(h + 1)**2*(3*h - 2)
Let w(f) = -f**2. Let k(v) = 2*v**2 - 3*v + 2. Suppose -2*s + 4*y - 14 = 0, -26 = 4*s - 5*y - 7. Let g(r) = s*w(r) - k(r). Find l such that g(l) = 0.
1, 2
Let h = 81 + -485