a**3 + 2/15*a**5 - 7 + 0*a**2 + 0*a - 1/6*a**4. Factor k(c).
2*c**3*(c - 1)/3
Let d = -1 - -1. Suppose -18 = -61*b + 55*b. Factor 1/4*n**4 - 1/4*n**b + 1/4*n**5 - 1/4*n**2 + d*n + 0.
n**2*(n - 1)*(n + 1)**2/4
Let p be -1 + -3*(-4)/4. Let w = -170 - -517/3. Factor -2/3 + 7/3*o**3 - w*o + 2/3*o**p.
(o - 1)*(o + 1)*(7*o + 2)/3
Let b(n) be the third derivative of 0*n + 0*n**3 + 1/336*n**8 + 4*n**2 + 0 - 1/12*n**4 + 1/120*n**6 + 1/20*n**5 - 1/70*n**7. Let b(v) = 0. What is v?
-1, 0, 1, 2
Suppose -5*z + 14 = -6. Suppose -z*w = -3*w. Factor 2/3*p**2 - 2/3*p**3 + 0 + w*p.
-2*p**2*(p - 1)/3
Let v = -25 - -25. Let d(q) be the third derivative of 0*q + v*q**3 - 1/12*q**6 - q**2 + 0 + 1/6*q**4 + 1/10*q**5. Factor d(t).
-2*t*(t - 1)*(5*t + 2)
Let t(s) be the first derivative of -s**6/33 - 4*s**5/55 + s**4/22 + 4*s**3/33 + 2. Suppose t(r) = 0. What is r?
-2, -1, 0, 1
Let -11/9*g**3 - 5*g**2 - 6 - 9*g - 1/9*g**4 = 0. What is g?
-3, -2
Let w(l) be the second derivative of l**5/15 - l**4/12 - l**3/3 + 3*l**2/2 - l. Let q(p) be the first derivative of w(p). Let q(m) = 0. What is m?
-1/2, 1
Suppose 4*x = -y + 1, y + 1 = 2. Suppose -2/5*p**2 + 2/5*p**4 + 0 + 0*p**3 + x*p = 0. What is p?
-1, 0, 1
Let b(y) be the second derivative of y**8/210 + 4*y**7/525 - y**6/100 - y**5/75 + y**4/60 + y**2/2 - 3*y. Let f(h) be the first derivative of b(h). Factor f(d).
2*d*(d + 1)**2*(2*d - 1)**2/5
Let c be 1275/(-27) + 2/9. Let m = c + 189/4. Determine b, given that 0 - m*b + 1/2*b**3 - 1/4*b**5 + 0*b**4 + 0*b**2 = 0.
-1, 0, 1
Let r(u) be the first derivative of -u**6/30 - 2*u**2 - 7. Let l(m) be the second derivative of r(m). Determine x so that l(x) = 0.
0
Suppose 50/9 + 2/9*c**2 - 20/9*c = 0. What is c?
5
Let z(f) be the first derivative of -1/9*f**3 - 1 + 2/3*f - 1/6*f**2. Factor z(l).
-(l - 1)*(l + 2)/3
Let -9/2*j**3 - 6*j**2 + 3/2*j**5 + 6*j + 3*j**4 + 0 = 0. Calculate j.
-2, 0, 1
Find b such that 5*b**2 - 10*b - 122 - 140 + 247 = 0.
-1, 3
Let f = 69260/1623 + -4/541. Let g = 43 - f. What is j in -j + g*j**2 + 2/3 = 0?
1, 2
Let x be 216/42 + (-8)/2. Determine w so that 0 + 0*w - 2/7*w**3 + 0*w**2 + 10/7*w**4 - x*w**5 = 0.
0, 1/4, 1
Let s be (-1)/(-4) - (-54)/8. Let b be 3*s/((-42)/(-8)). Determine w, given that -4/5*w**3 + 0*w**2 + 2/5*w**b + 4/5*w - 2/5 = 0.
-1, 1
Let k(s) be the second derivative of -1/2*s**3 - 5*s - 3/10*s**5 + 0 + 5/4*s**4 - 3*s**2. Factor k(n).
-3*(n - 2)*(n - 1)*(2*n + 1)
Let d be (-7)/((-7)/(-2))*-1. Suppose 2 + 4*h**4 + d*h + 3*h**4 + 2*h**3 + 3*h**5 - 7*h - 6*h**2 - 3 = 0. What is h?
-1, -1/3, 1
Let t(v) = v**3 - 5*v**2 - 5*v - 3. Let y be t(6). Factor -2/5*o - 2/5 + 2/5*o**2 + 2/5*o**y.
2*(o - 1)*(o + 1)**2/5
Let g(a) be the first derivative of a**4/4 - a**3/3 - a**2/2 + 3. Let l be g(0). Factor 0 + 2/7*n**2 + l*n.
2*n**2/7
Let o(i) be the second derivative of 5*i**4/6 - 5*i**3/6 - 8*i. Determine x, given that o(x) = 0.
0, 1/2
Let s be (44/(-99))/(4/(-6)). Factor -2/3*z**4 - s*z**3 + 2/3*z + 2/3*z**2 + 0.
-2*z*(z - 1)*(z + 1)**2/3
Let b be 5 - 2 - -1 - 1. Let q be ((-9)/6)/b*0. Let 0*x - 1 + q*x + x**2 = 0. What is x?
-1, 1
Factor 2/11*p**2 - 6/11*p**3 + 6/11*p**4 + 0 + 0*p - 2/11*p**5.
-2*p**2*(p - 1)**3/11
Solve 0 + 9/4*v**2 - 9/4*v**4 + 3/2*v**3 - 3/2*v = 0 for v.
-1, 0, 2/3, 1
Let l be 18/30 - (-1)/(-5). Let d be (-12)/(-105) + (-2)/(-7). Solve -l*y + 0 - d*y**2 = 0.
-1, 0
Let c(q) be the first derivative of -q**8/5040 + q**7/1260 - q**6/1080 - q**3/3 + 2. Let s(j) be the third derivative of c(j). Factor s(z).
-z**2*(z - 1)**2/3
Factor -b**3 + 0*b**3 - 3*b - b**3 + b**3 - 1 - 3*b**2.
-(b + 1)**3
Let k(j) be the third derivative of -j**11/83160 + j**10/37800 - j**5/12 + 8*j**2. Let x(m) be the third derivative of k(m). Solve x(s) = 0 for s.
0, 1
Factor -2/19*k**2 + 24/19*k - 72/19.
-2*(k - 6)**2/19
Let y(b) = 5*b**3 + 25*b + 9. Let h(w) = -2*w**3 - 12*w - 4. Let j(s) = -9*h(s) - 4*y(s). Determine x, given that j(x) = 0.
-2, 0, 2
Let o(q) be the second derivative of q**9/15120 - q**8/26880 - q**4/6 - q. Let t(l) be the third derivative of o(l). Suppose t(x) = 0. Calculate x.
0, 1/4
Suppose 0 = 2*s - 7*s. Let f(w) be the first derivative of -w**2 + 0*w**4 + 1/5*w**5 + s*w - w**3 - 3. Factor f(k).
k*(k - 2)*(k + 1)**2
Let y(z) be the second derivative of -4*z + 1/24*z**3 + 1/24*z**4 + 0 + 0*z**2 + 1/80*z**5. Factor y(h).
h*(h + 1)**2/4
Suppose 7*i - 4*i = g + 64, 60 = 2*i - 5*g. Suppose 3*k + i = 8*k. Suppose 0 + 1/2*z**2 - 1/2*z**5 + 3/2*z**k + 0*z - 3/2*z**3 = 0. What is z?
0, 1
Let a(f) = f**2 - 7*f - 3. Let t be a(7). Let o be 1/t - 21/(-9). Factor 2*j + 3 + j**2 - o + 0*j.
(j + 1)**2
Let m(g) be the second derivative of -4*g**6/15 - 3*g**5/2 - 8*g**4/3 - g**3 + 2*g**2 + 4*g. Suppose m(t) = 0. What is t?
-2, -1, 1/4
Let w be (-266)/(-18) - 4/(-18). Let r be (-2)/5 + 51/w. Factor -n**3 + 8*n**5 + 24*n**r + 7*n**3 + 4*n**4 + 2*n - 30*n**4 - 14*n**2.
2*n*(n - 1)**3*(4*n - 1)
Determine z so that 10*z**2 - 7*z**2 - 9*z - 2*z**3 + z - 11*z**2 = 0.
-2, 0
Let y(h) be the third derivative of -h**8/84 + 13*h**7/175 - 11*h**6/75 + 7*h**5/150 + h**4/5 - 4*h**3/15 + 10*h**2. What is b in y(b) = 0?
-1/2, 2/5, 1, 2
Suppose 0*f - 2*f = -7*f. Factor f - 2/11*l**2 + 2/11*l.
-2*l*(l - 1)/11
Suppose 27 = p + 2*p. Suppose 2*u = p + 1. Factor -63*h**4 + u*h - h - 101*h**3 + 34*h**3.
-h*(h + 1)*(7*h + 2)*(9*h - 2)
Let s(c) be the second derivative of 7*c**4/6 - c**3/3 - 5*c**2/2 - c. Let a(t) = -2*t**2 - 18 + 7*t**2 - t + 16. Let r(b) = -11*a(b) + 4*s(b). Factor r(p).
(p + 1)*(p + 2)
Suppose 3*o = y - 0*y, -5*o - 10 = -5*y. Find b, given that 0 + 1/2*b**5 - 1/2*b + b**2 - b**4 + 0*b**y = 0.
-1, 0, 1
Let n(w) = w**3 - 13*w**2 - 13*w - 12. Let h be n(14). Let 1/3*o**3 - 1/3*o - 1/3*o**h + 1/3 = 0. Calculate o.
-1, 1
Let b(m) be the third derivative of m**6/300 + m**5/75 - m**4/60 - 2*m**3/15 + 6*m**2. Factor b(j).
2*(j - 1)*(j + 1)*(j + 2)/5
Let t = -78 - -82. Factor -4000/9*a**2 - 64/9 - 12500/9*a**t + 800/9*a + 6250/9*a**5 + 10000/9*a**3.
2*(5*a - 2)**5/9
Let o = -2300/9 - -256. Determine c, given that o - 4/9*c**2 + 2/9*c - 2/9*c**3 = 0.
-2, -1, 1
Let c(y) be the second derivative of y**6/10 + 3*y**5/10 - y**4/4 - y**3 + 10*y. Find n such that c(n) = 0.
-2, -1, 0, 1
Suppose l = 0, -4*u - 2*l = 2*l. Factor 0*z + 2*z - z**3 - z**3 + u*z.
-2*z*(z - 1)*(z + 1)
Let n(d) = -5*d + 3 + 5*d - 2*d**3 - 2*d**2 + 3*d. Let g be (4/(-6))/((-4)/6). Let l(s) = s**2 - s - 1. Let r(b) = g*n(b) + 3*l(b). Factor r(z).
-z**2*(2*z - 1)
Let j be (3 - -6)*5/(90/3). Solve 3/2*k - j*k**2 + 0 = 0 for k.
0, 1
Let z(t) = -t + 3. Suppose -4*a = -2*a. Let j be z(a). What is i in 3*i**j + 0*i + 2*i + 4*i**2 - i**3 = 0?
-1, 0
Let m(w) be the second derivative of 0 + 0*w**2 + 0*w**4 + 0*w**3 - 2*w + 11/30*w**6 + 5/14*w**7 + 1/10*w**5. Factor m(l).
l**3*(3*l + 1)*(5*l + 2)
Let w = -1 - -1. Suppose -b + 0 + 3 = w. Factor 4*m - m**2 + b*m**2 + 0*m**2.
2*m*(m + 2)
Let a(h) = h**5 - h**4 + h**3. Suppose 5*i = -0 - 5. Let m(z) = -6*z**5 + 8*z**4 - 8*z**3 + z**2. Let j(y) = i*m(y) - 5*a(y). Factor j(b).
b**2*(b - 1)**3
Let z be (-1)/2 + (-52)/(-104). Factor 0*b**4 + 0*b**3 + 1/5*b**5 + 0 + z*b + 0*b**2.
b**5/5
Let 0*c + 2/11 - 2/11*c**2 = 0. Calculate c.
-1, 1
Let m(v) be the second derivative of 27*v**5/4 - 55*v**4/4 + 25*v**3/6 + 5*v**2/2 + v - 8. Factor m(i).
5*(i - 1)*(3*i - 1)*(9*i + 1)
Let m(q) = 3*q - 1 - 5 - 14. Let y be m(8). Let 1/2*p**2 + 1/6*p**y - 2/3*p - 2/3 + 2/3*p**3 = 0. What is p?
-2, -1, 1
Let c(k) = -k**2 + 9*k - 10. Let m be c(8). Let t be ((-1)/m + -1)/(-2). Factor 1/2*z - t + 3/4*z**2.
(z + 1)*(3*z - 1)/4
Let m(z) be the first derivative of z**6/15 + 12*z**5/25 + 7*z**4/5 + 32*z**3/15 + 9*z**2/5 + 4*z/5 - 5. Factor m(n).
2*(n + 1)**4*(n + 2)/5
Suppose 4*m + 12 = -8. Let b be 1 + -4 + (m - -8). Solve -2/11*x**3 + 2/11*x + b + 0*x**2 = 0.
-1, 0, 1
Determine t so that 18 - 7*t**2 + t**2 + 8*t**2 + 12*t = 0.
-3
Let o(i) be the second derivative of -i**6/780 + i**5/130 - i**4/52 + i**3/39 + 9*i**2/2 + i. Let r(c) be the first derivative of o(c). Factor r(h).
-2*(h - 1)**3/13
Suppose 2*o = 3*y - 2*o - 6, 0 = y + 4*o - 2. Factor 0*t + 54*t**y - 53*t**2 - 2*t.
t*(t - 2)
Factor 6*i**4 + 6*i**4 - 21*i**3 - 15*i**4 - 27*i - 45*i**2.
-3*i*(i + 1)*(i + 3)**2
Let a(o) be the first derivati