 2*u**3 + 50*u - 12*u**4 = 0 for u.
-1/2, 0, 2
Suppose -2*h + 10*q + 6 = 5*q, 0 = 2*h - 4*q - 6. Suppose -h*l - l + 16 = 0. Suppose -4*o**4 + 5 + o**2 + 2*o**l - 5 - o**3 = 0. What is o?
-1, 0, 1/2
Find b, given that 31*b**2 + 4*b**3 + 22*b**2 - 49*b**2 = 0.
-1, 0
Let c be 3/9 + 1/(-21). Suppose 0 = 63*s - 66*s + 6. Factor 2/7 + 0*z - c*z**s.
-2*(z - 1)*(z + 1)/7
Let f(q) be the third derivative of 1/210*q**5 + 0 + 0*q + 0*q**3 + 4*q**2 - 1/84*q**4. Factor f(r).
2*r*(r - 1)/7
Let b(s) = s**3 - 4*s**2 + 8*s - 5. Let v(l) = l**3 - 4*l**2 + 7*l - 4. Let r(x) = -2*b(x) + 3*v(x). Suppose r(i) = 0. What is i?
1, 2
Let m be 14/28 - 5/(-6). Determine t, given that 4/3 - 4/3*t - 4/3*t**2 + m*t**3 = 0.
-1, 1
Let k(t) = 4*t**3 - 12*t**2 + 12*t - 7. Let z(m) = 8*m**3 - 24*m**2 + 24*m - 15. Let v(d) = -7*k(d) + 3*z(d). Factor v(o).
-4*(o - 1)**3
Let j(l) be the third derivative of l**8/1176 + l**7/105 + 4*l**6/105 + 4*l**5/105 - 4*l**4/21 - 16*l**3/21 - 21*l**2. Factor j(x).
2*(x - 1)*(x + 2)**4/7
Let u(o) = -o**3 - o**2 + o. Let x be (-52)/(-44) + (-2)/11. Let y(l) = -4*l**2 - 2*l + 8. Let n(t) = x*y(t) + 2*u(t). Determine k so that n(k) = 0.
-2, 1
Let f(a) be the second derivative of -a**9/5040 - a**8/1120 + a**7/840 + a**6/120 - a**4/2 + 5*a. Let s(g) be the third derivative of f(g). Factor s(x).
-3*x*(x - 1)*(x + 1)*(x + 2)
What is w in 6*w**3 - 20*w**3 + 4 - 4*w**2 + 10*w**3 + 4*w = 0?
-1, 1
Let -8*o**2 - 3 + 2*o**2 + o**3 + 9*o**2 - o = 0. What is o?
-3, -1, 1
Let g(r) be the third derivative of -3*r**8/28 + 8*r**7/35 - 2*r**6/15 + 2*r**2. Factor g(b).
-4*b**3*(3*b - 2)**2
Let p(g) be the first derivative of g**4/12 - g**2/2 + 2*g/3 + 2. Factor p(v).
(v - 1)**2*(v + 2)/3
Let z = 8 + -14. Let g be 2/(-12) + (-4)/z. Factor 1/2*x**2 + 0*x + g*x**4 + 0 + x**3.
x**2*(x + 1)**2/2
Let y = 47/48 - 5/16. Suppose 3*d = -d. Factor y*j - j**5 + j**2 + d - j**3 - 7/3*j**4.
-j*(j + 1)**3*(3*j - 2)/3
Let c(j) be the first derivative of -j**6/3 + 18*j**5/5 - 15*j**4 + 92*j**3/3 - 33*j**2 + 18*j + 19. Factor c(r).
-2*(r - 3)**2*(r - 1)**3
Suppose -3*t + 1 = -2, 3*l - 5*t = -5. Let 2/3*p**2 + 4/3*p + l - 2/3*p**3 = 0. What is p?
-1, 0, 2
Let i(b) = -4*b**2 + 4*b. Let w(y) = 3*y**2 - 1 - 3*y + 0*y + 1. Let x(h) = 2*i(h) + 3*w(h). Factor x(f).
f*(f - 1)
Suppose 0 = -f - 0*f - 0*f. Let a(i) be the second derivative of 2*i + f*i**2 + 1/42*i**4 + 1/70*i**5 + 0 + 0*i**3. Factor a(z).
2*z**2*(z + 1)/7
Let j be 1 - 0/2 - 11. Let r(q) = 7 + q - 6*q**2 + q**2 + 2*q**2. Let c(g) = g**2 - 3. Let t(z) = j*c(z) - 4*r(z). Suppose t(h) = 0. Calculate h.
1
Let 7*o**2 + 3*o**2 - 4*o**2 - 26*o**3 + 8*o**4 = 0. What is o?
0, 1/4, 3
Let v(a) = -a**3 + 7*a**2 + a - 2. Let u be v(7). Factor 3*i - 4 + u*i - 4 - 2*i**2.
-2*(i - 2)**2
Let j(z) be the second derivative of -1/15*z**6 + 0*z**3 + z - 1/6*z**4 + 0 + 0*z**2 - 1/5*z**5. Let j(n) = 0. Calculate n.
-1, 0
Let z be 2/5 - (-35)/(-25). Let w = 4 - z. Factor -1 + 2*p**2 + 0*p**2 + 6*p + w.
2*(p + 1)*(p + 2)
Suppose b + 4*p - 6 = -2*b, b + 2*p = 2. Solve -10*v**2 + 0*v**2 - v**b - 16*v**2 - 6*v = 0.
-2/9, 0
Let b be 30*(-2)/(-27) - 2. Let l(r) = 2*r**2 + 2*r. Let f be l(-2). Factor -2/9*i**2 + 0 + 2/9*i**f - 2/9*i**3 + b*i.
2*i*(i - 1)**2*(i + 1)/9
Solve -2/13 + 2/13*m**2 + 0*m = 0.
-1, 1
Let o be (-12)/10*40/(-12). Let g(p) be the second derivative of 1/30*p**5 - 1/3*p**2 - 1/9*p**3 + p + 1/18*p**o + 0. Factor g(d).
2*(d - 1)*(d + 1)**2/3
Let l be (-8)/3 + (-4)/(-6). Let i be ((-18)/3)/(l/1). Let 0*x**3 + 6*x**i - 4*x**3 = 0. What is x?
0
Let b(u) = -u**2. Let h(n) = -9*n**2 + 3*n - 6. Suppose -2*p = -p + 1. Let d(k) = p*h(k) + 12*b(k). Factor d(l).
-3*(l - 1)*(l + 2)
Let w(i) = -i**3 - 8*i**2 + 10*i + 13. Suppose -z = 5*n - 20 + 63, -z = 2*n + 16. Let d be w(n). Factor 0 + 2/5*u + 7/5*u**d + 16/5*u**3 + 11/5*u**2.
u*(u + 1)**2*(7*u + 2)/5
Let g be (6 - 624/102) + (-232)/(-238). Factor 6/7*o**3 - 15/7*o**2 + 0 + g*o.
3*o*(o - 2)*(2*o - 1)/7
Suppose 2*n + 270 + 633 = -3*c, -904 = 2*n + 4*c. Let j be (-2)/5 + (-280)/n. Factor -2/9*d**3 + 0 + 0*d**2 + j*d.
-2*d*(d - 1)*(d + 1)/9
Determine a so that 24/7*a**2 + 2/7*a**3 + 0*a + 0 = 0.
-12, 0
Let t be 320/56 - (-2)/7. Let u be 15/t*(-18)/(-15). Factor -3*l**2 + l**4 - l - 2*l**4 + 2*l + u*l**3.
-l*(l - 1)**3
Let c = -59 - -91. Let q be 2*-1 - c/(-14). Factor -6/7*f**3 + 0 + 0*f - q*f**4 - 4/7*f**2.
-2*f**2*(f + 1)*(f + 2)/7
Let i(f) = f**5 - 6*f**3 + 2*f**2 + 7*f + 4. Let n(z) = z**4 - z**3 + z**2 - z. Let q(b) = i(b) - n(b). Factor q(l).
(l - 2)**2*(l + 1)**3
Let t(l) be the third derivative of l**5/105 - 3*l**4/7 + 54*l**3/7 + 20*l**2. Factor t(w).
4*(w - 9)**2/7
Let q(t) be the first derivative of t**7/420 + t**6/120 - t**4/24 - t**3/12 + 7*t**2/2 - 6. Let k(f) be the second derivative of q(f). Factor k(h).
(h - 1)*(h + 1)**3/2
Factor -12 + 3 + 35*w - 11 - 10 - 5*w**3.
-5*(w - 2)*(w - 1)*(w + 3)
Let u(m) = -2*m**2 - 22*m + 24. Let z(o) = 3*o**2 + 45*o - 48. Let t(i) = 5*u(i) + 2*z(i). Factor t(q).
-4*(q - 1)*(q + 6)
Let d = 6 + -6. Find o, given that -2*o**2 + d*o**5 + 2*o**5 - 2 + 2 - 2*o**3 + 2*o**4 = 0.
-1, 0, 1
Let b(y) be the first derivative of 1/3*y**3 + y - y**2 + 4. Factor b(h).
(h - 1)**2
Let b(m) = 17*m**5 + 38*m**4 + 30*m**3 + 2*m**2 - m + 3. Let d(x) = x**5 + x + 1. Let y(r) = -b(r) + 3*d(r). Let y(i) = 0. What is i?
-1, 0, 2/7
Let z = -193 + 195. Factor 0 - 1/4*l**z - 1/4*l.
-l*(l + 1)/4
Let t = -9 + 13. Suppose 2*b + 1 = -1, -t*x + 37 = -5*b. Solve x*r**2 + 6*r - 1 - 4*r**3 - 2*r - 1 - 6*r**4 = 0.
-1, 1/3, 1
Let g(l) be the third derivative of -l**7/350 - l**6/150 + l**5/150 + l**4/30 + l**3/30 - 14*l**2. What is s in g(s) = 0?
-1, -1/3, 1
Find t such that 0*t + 0 - 2/11*t**4 + 2/11*t**3 + 2/11*t**2 - 2/11*t**5 = 0.
-1, 0, 1
Find n, given that 1/2*n + 1/4*n**3 + 3/4*n**2 + 0 = 0.
-2, -1, 0
Suppose -d + 16 = 3*d. Factor -2 - b**d + 2*b**5 - 2*b**3 + 2*b**2 - b**4 + 2.
2*b**2*(b - 1)**2*(b + 1)
Solve 23*t**2 - 3*t**3 + 5*t**3 + 54 + 54*t - 2*t**2 - 3*t**2 = 0.
-3
Factor -5/4*q**3 + 0*q - q**4 - 1/4*q**5 + 0 - 1/2*q**2.
-q**2*(q + 1)**2*(q + 2)/4
Let r(n) be the second derivative of n**7/63 - n**6/45 - n**5/15 + n**4/9 + n**3/9 - n**2/3 + 6*n. Factor r(b).
2*(b - 1)**3*(b + 1)**2/3
Let s(a) be the first derivative of -a**5/70 + a**3/21 + 2*a + 4. Let t(r) be the first derivative of s(r). Suppose t(b) = 0. What is b?
-1, 0, 1
Let a(f) be the second derivative of 1/42*f**4 + 0*f**2 + 1/70*f**5 + 0*f**3 + 8*f + 0. Factor a(j).
2*j**2*(j + 1)/7
Suppose -38 + 3 = 5*q. Let n be (-1*1)/(q/35). Determine a so that -4*a**3 + 7*a**5 - n*a - 12*a**4 - 2 + 2*a + 5*a**2 + 9*a**2 = 0.
-1, -2/7, 1
Suppose -2*w + w - 18 = 0. Let k be (w/(-15))/((-1)/(-5)). Factor -3*z + k*z**2 + 9*z**3 - 11*z**3 - z.
-2*z*(z - 2)*(z - 1)
Suppose -5 = p - 4. Let k be 32/12*(p + 2). Factor -k + 16/3*c - 2*c**2.
-2*(c - 2)*(3*c - 2)/3
Let d be (12 - 3)*(-4)/(-84). Factor 3/7*t**2 + d - 6/7*t.
3*(t - 1)**2/7
Let i(j) = -2*j**2 + 2*j + 4. Let x(m) = -2*m**2 + 2*m + 5. Let s(g) = 5*i(g) - 4*x(g). Determine n so that s(n) = 0.
0, 1
Let v(i) be the third derivative of -i**6/120 - i**5/6 + i**4/2 + 8*i**3/3 + 3*i**2. Let d be v(-11). Factor -3*s**3 + 3*s**3 + 2*s**4 + s**3 + s**d.
s**3*(s + 1)**2
Let p be 21/(-168) + (-19)/(-24). Find y such that 4/3*y**2 - 2/3*y**3 - p*y + 0 = 0.
0, 1
Let p = 2 + 0. Suppose i - p*u = u + 10, -3*i - 20 = u. Let j(a) = -a. Let s(r) = 4*r**2 - 7*r - 2. Let d(v) = i*j(v) + s(v). Factor d(g).
2*(g - 1)*(2*g + 1)
Let d(q) be the third derivative of -q**8/896 + q**7/112 - 9*q**6/320 + 7*q**5/160 - q**4/32 + 2*q**2. Let d(u) = 0. What is u?
0, 1, 2
Suppose 4*h - 69 = -u + 2*h, 0 = -4*h + 16. Let q = u - 241/4. Factor q*y**3 + 1/4*y + 1/4*y**4 + 0 + 3/4*y**2.
y*(y + 1)**3/4
Suppose 0 = 2*a - 3*a. Factor 3*g + a*g + 9*g - 3*g**2 - 3*g**2 + g**3 - 8.
(g - 2)**3
Let q(f) be the first derivative of 16*f + 4*f**2 + 1/3*f**3 - 2. Factor q(j).
(j + 4)**2
Let r(w) = w**2 + 7*w - 6. Let g be r(-8). Suppose -g*l - 2*l + 4*s = -16, 0 = -2*l + 5*s + 11. Factor 6*t + l*t**3 + t**5 + t**2 - 6*t + 3*t**4.
t**2*(t + 1)**3
Let t(d) be the first derivative of -d**3/2 + 3*d**2 - 6. Factor t(c).
-3*c*(c - 4)/2
Let p(i) = 2*i + 10. Let d(m) = 3*m + 15. Let a(z) = -5*d(z) + 8*p(z). Let r be a(-3). Solve -18*u**3 