(-2)*12/10. Factor 2*v - 3*v**2 + b*v**2 + 2*v**2.
2*v*(v + 1)
Let b be 16/28 - (-306)/(-21). Let x be 102/42 - (-6)/b. Find y, given that 2/7*y**x + 4/7 + 6/7*y = 0.
-2, -1
Let o(a) be the first derivative of -a**6/21 + 2*a**5/35 + a**4/14 - 2*a**3/21 - 3. Determine r, given that o(r) = 0.
-1, 0, 1
Let m(o) be the first derivative of -o**4/4 + o**3/3 + 7*o**2/8 + o/2 - 2. Factor m(n).
-(n - 2)*(2*n + 1)**2/4
Let f(u) be the first derivative of -4*u + 2 - 1/3*u**3 - 2*u**2. Find a, given that f(a) = 0.
-2
Let t(y) = 6*y**3 - y + 1. Let v be t(1). Let f be (-4)/(-6) - (-20)/v. Factor 0*i**f + 0 + 2 - 4*i**2 + 2*i**4.
2*(i - 1)**2*(i + 1)**2
Suppose 3*g + 12 - 3 = 0. Let u = -1 - g. Factor -2/5*s**3 + 2/5*s + 2/5*s**u - 2/5.
-2*(s - 1)**2*(s + 1)/5
Let f(l) be the second derivative of l**7/1260 + l**6/1080 - l**4/4 - 2*l. Let b(h) be the third derivative of f(h). Suppose b(v) = 0. What is v?
-1/3, 0
Factor -18/7*z**4 + 0 - 32/7*z**2 - 6*z**3 - 8/7*z.
-2*z*(z + 1)*(3*z + 2)**2/7
Suppose 0 = -0*u + 4*u - 8. Solve 2*v**2 - v**3 + 0*v - 3*v + u*v = 0.
0, 1
Let p(i) be the third derivative of -i**8/26880 + i**7/5040 - i**6/2880 + i**4/6 - 2*i**2. Let b(t) be the second derivative of p(t). Factor b(o).
-o*(o - 1)**2/4
Let t = 52 + -47. Let q(r) be the second derivative of 0 + 0*r**2 + 1/70*r**t + 3*r - 1/21*r**3 + 0*r**4. Factor q(u).
2*u*(u - 1)*(u + 1)/7
Factor 8/7*f + 0 + 2/7*f**2.
2*f*(f + 4)/7
Determine d, given that 11*d + 6*d**2 - 10*d**2 + d = 0.
0, 3
Let w(z) = 2*z - 5. Let h be w(4). Let b be -1 - (-5)/((-10)/(-6)). Factor -2*i**h + 3*i**3 + i**4 + b*i**3 - 2*i**3.
i**3*(i + 1)
Solve -8*k**4 + 4/3*k**5 + 32/3 - 16*k - 8/3*k**2 + 44/3*k**3 = 0 for k.
-1, 1, 2
Let s(l) be the first derivative of -9*l**5/2 + 95*l**4/4 - 265*l**3/6 + 35*l**2 - 10*l - 5. Let s(z) = 0. Calculate z.
2/9, 1, 2
Suppose -40/7*w**3 + 12/7*w**4 - 16/7 + 16/7*w + 4*w**2 = 0. What is w?
-2/3, 1, 2
Let p = 31/15 - 7/5. Let u = -2/15 + 7/15. Factor -1/3 - u*g**2 - p*g.
-(g + 1)**2/3
Suppose 3*p = 5*p - 12. Let a(b) be the second derivative of -1/24*b**4 + 0 + 0*b**2 - b + 1/6*b**3 + 1/20*b**p - 1/10*b**5. Factor a(k).
k*(k - 1)**2*(3*k + 2)/2
Let z(u) = -u**2 - 5*u. Let h(k) = 2*k**2 + 11*k - 1. Let j(q) = 6*h(q) + 15*z(q). Let j(s) = 0. What is s?
-2, -1
Let l = -1 + 7. Suppose l*m - 3 = 3*m. Factor -2*f + 2*f**3 - 5 + 4 - m + 2*f**2.
2*(f - 1)*(f + 1)**2
Factor 81*p - 108*p**2 - 81/4 + 48*p**3.
3*(4*p - 3)**3/4
Let r be (2 - (-18)/(-2))/1. Let l = -4 - r. Factor 0 + 3/4*w**2 - 1/2*w**l - 1/4*w.
-w*(w - 1)*(2*w - 1)/4
Let u be 2/8 + 0/1. Suppose 75*w = 95*w - 60. Find m, given that 1/4*m**w - 1/4*m**4 + 0 + 1/4*m**2 - u*m = 0.
-1, 0, 1
Let q = -1615/7 - -231. Suppose -8/7*k - 6/7 - q*k**2 = 0. Calculate k.
-3, -1
Let d(j) be the first derivative of j**7/480 - j**6/160 - j**5/40 + j**4/24 + 5*j**3/3 - 7. Let k(o) be the third derivative of d(o). Factor k(h).
(h - 2)*(h + 1)*(7*h - 2)/4
Determine z so that -2/3*z**3 - 4/3*z**2 + 4/3 + 2/3*z = 0.
-2, -1, 1
Let m(g) be the second derivative of 23*g**4/20 + 12*g**3/5 + 3*g**2/10 - 18*g. Factor m(b).
3*(b + 1)*(23*b + 1)/5
Let r(g) be the second derivative of g**5/120 + g**4/48 - g**2 - 4*g. Let z(j) be the first derivative of r(j). Factor z(f).
f*(f + 1)/2
Let n(t) be the second derivative of -t**7/63 - t**6/15 - t**5/10 - t**4/18 + 4*t. Factor n(l).
-2*l**2*(l + 1)**3/3
Suppose -t - 2*q = 4, 5*t - 2*q = -2 + 30. Factor -5*x**3 - 5*x**t + 0*x**3 + 6*x**3 + 2*x**5 + 2*x**5.
x**3*(x - 1)*(4*x - 1)
Factor 5*k**2 + 1 - 1 + 14*k - k**3 - 20*k.
-k*(k - 3)*(k - 2)
Factor -9*r + 9*r**2 + 0 - 1 + 7 + 30*r.
3*(r + 2)*(3*r + 1)
Suppose -2*r = -r - 3. Find u such that -4*u**3 - 6*u**2 - u**3 + r*u**3 + 2*u**2 = 0.
-2, 0
Factor 4*s**3 - 3*s**3 + s**2 + 0*s**3 - 2*s**2.
s**2*(s - 1)
Suppose 4*w = 212 - 72. Factor q**3 + 3*q**2 - 4*q**2 - 37*q + w*q.
q*(q - 2)*(q + 1)
Let v = 1 + 2. Determine f so that -6 - 2 + 12*f**2 - 2*f - 15*f - v*f = 0.
-1/3, 2
Let y be -4 - (-5 + -1 + -1). Let c be 1/y*(-6)/(-4). Factor -c*l**2 + 0 - 1/4*l - 1/4*l**3.
-l*(l + 1)**2/4
Let x be (-1)/(6/4)*-3. Factor -x*l**2 - 6*l + 5*l + l**3 - 2*l**3.
-l*(l + 1)**2
Let i(a) be the second derivative of -a**7/28 - 3*a**6/40 + 3*a**5/20 + 3*a**4/16 - a**3/4 - 12*a. Find g, given that i(g) = 0.
-2, -1, 0, 1/2, 1
Suppose 0 = -6*w + w + 10. Suppose 0 = -w*q + 6*q. Factor 1/3*o**5 + q*o**2 + 1/3*o - 2/3*o**3 + 0 + 0*o**4.
o*(o - 1)**2*(o + 1)**2/3
What is l in 7*l**2 + 0*l**2 - 4*l**2 + l**3 = 0?
-3, 0
Let a(g) = -g**4 - g**2 + g + 1. Let n(k) = k**5 + 4*k**4 - 2*k**3 + 7*k**2 - 4*k - 6. Let q(d) = 15*a(d) + 3*n(d). Find x such that q(x) = 0.
-1, 1
Let m(y) be the third derivative of y**5/20 + 3*y**4/4 + 5*y**3/2 + 43*y**2. Factor m(b).
3*(b + 1)*(b + 5)
Let b be (-8)/(5/(0 - 1)). Let u = 34/15 - b. Factor u - 2/3*a**4 + 4/3*a**3 - 4/3*a + 0*a**2.
-2*(a - 1)**3*(a + 1)/3
Find c, given that 0 + 4/5*c**4 + 2/5*c**5 + 0*c**3 - 2/5*c - 4/5*c**2 = 0.
-1, 0, 1
Let h(v) = -v**2 + 4*v + 3. Let a(l) be the first derivative of -l**2/2 - l + 2. Let b(z) = -6*a(z) - 2*h(z). Factor b(t).
2*t*(t - 1)
Let c(v) be the third derivative of -v**6/75 + 9*v**5/50 - 11*v**4/20 - 2*v**3/3 + 46*v**2. Find u, given that c(u) = 0.
-1/4, 2, 5
Let d = -22 - -21. Let c(j) = j**2 - j - 1. Let z(i) = -6*i**2 + 12*i - 3. Let p(h) = d*z(h) - 3*c(h). Determine b so that p(b) = 0.
1, 2
Find y such that 9*y - 33/4*y**2 + 3/4*y**3 + 9/4*y**4 - 3 - 3/4*y**5 = 0.
-2, 1, 2
Factor 3/5 + 6/5*p**3 - 6/5*p**2 + 3/5*p**4 - 3/5*p - 3/5*p**5.
-3*(p - 1)**3*(p + 1)**2/5
Let v(s) be the second derivative of -s**7/10080 + s**6/2880 - s**4/4 + 3*s. Let x(j) be the third derivative of v(j). Determine g, given that x(g) = 0.
0, 1
Factor 11*v**2 + 11*v**2 - 20*v**2 - v**3.
-v**2*(v - 2)
Let x = -2 - -7. Let t be 24/108 + 1/(-45). Factor 1/5*g + 2/5*g**2 + 1/5*g**x - t - 2/5*g**3 - 1/5*g**4.
(g - 1)**3*(g + 1)**2/5
Let m = 280/129 - 36/43. What is r in 2/3*r**2 - m*r + 2/3 = 0?
1
Let r(n) be the third derivative of -n**7/1155 + n**6/660 + n**5/110 - 5*n**4/132 + 2*n**3/33 + 12*n**2. Factor r(m).
-2*(m - 1)**3*(m + 2)/11
Let h be (158/(-154) - (-1 - 0))*-7. Let h*a**2 + 4/11 + 6/11*a = 0. Calculate a.
-2, -1
Let z = 53/546 - 6/65. Let b(n) be the third derivative of 2*n**2 + 0*n - 2/21*n**3 - z*n**5 + 0 + 1/28*n**4. Determine q, given that b(q) = 0.
1, 2
Let h(i) = -8*i**3 + 13*i**2 + i + 5. Let p(t) = -t**3 + t**2 + t + 1. Let x(n) = h(n) - 5*p(n). Find f, given that x(f) = 0.
0, 2/3, 2
Let w(h) be the third derivative of h**8/112 + 2*h**7/35 - h**6/20 - 3*h**5/5 + 9*h**4/8 + 22*h**2. Solve w(k) = 0.
-3, 0, 1
Let z(u) be the third derivative of -2*u**7/175 - 11*u**6/300 + 7*u**5/150 + 2*u**4/15 - 4*u**3/15 + u**2. Find q such that z(q) = 0.
-2, -1, 1/2, 2/3
Let t(i) = 4*i**4 - 7*i**3 - 20*i**2 - 14*i - 5. Let v(l) = 3*l**4 - 7*l**3 - 19*l**2 - 13*l - 4. Let u(b) = 4*t(b) - 5*v(b). Factor u(r).
r*(r + 1)*(r + 3)**2
Factor 2/17*i**4 + 0 - 2/17*i - 2/17*i**2 + 2/17*i**3.
2*i*(i - 1)*(i + 1)**2/17
Suppose -5*x - 4 - 21 = -2*j, 3*j - x - 5 = 0. Let m(k) be the second derivative of j*k**2 - 1/30*k**4 - 3*k + 0 - 2/15*k**3. Factor m(l).
-2*l*(l + 2)/5
Let n be 0 + 4/8 - (-9)/6. Factor 0 + 0*d**n - 1/2*d + 1/2*d**3.
d*(d - 1)*(d + 1)/2
Let o(b) be the first derivative of b**6/24 + 3*b**5/20 - 11*b**4/8 + 19*b**3/6 - 27*b**2/8 + 7*b/4 - 20. Factor o(a).
(a - 1)**4*(a + 7)/4
Let l(z) = 2 - 7 - 4*z + 2*z. Let r be l(-4). Factor 3*i + 6*i**r + 7*i**2 - i - i**2 + 2*i**4.
2*i*(i + 1)**3
Let q be (5*(-5)/(-900))/((-9)/(-96)). Let b(n) be the first derivative of 1 + 0*n**2 + 1/27*n**6 + 0*n - 2/9*n**5 - q*n**3 + 4/9*n**4. Solve b(l) = 0 for l.
0, 1, 2
Suppose -58 = -2*b - 4*r, r = 3*r - 10. Let t = -37/2 + b. Factor 0*v - 1/2*v**3 + 0 + t*v**2.
-v**2*(v - 1)/2
Let f(h) = 105*h**2 + 16*h - 5. Let x(w) = 1155*w**2 + 175*w - 55. Let t(d) = 45*f(d) - 4*x(d). Suppose t(s) = 0. What is s?
-1/3, 1/7
Suppose -3*n + 20 = 2*n. Suppose -n*z = z. Factor 2/3*h + z - 4/3*h**2 + 2/3*h**3.
2*h*(h - 1)**2/3
Let r(b) = b**3 + b**2 + 17*b + 9. Let c(x) = -x**2 + x + 1. Let p(j) = 5*c(j) - r(j). Let o(t) be the first derivative of p(t). Factor o(k).
-3*(k + 2)**2
Suppose p - 3*p - 8 = -2*x, -2 = 4*x + 5*p. Solve 5 - 1 - 2*o + 2*o**3 - 2*o**2 - x = 0 for o.
-1,