3 - v**4 + 29*v**2. Let m(b) = 0. What is b?
-6, 0, 1
Factor -1/5*o + 0 - 2/5*o**2 - 1/5*o**3.
-o*(o + 1)**2/5
Let l = 550 - 548. Determine m so that 0*m**l + 0 + 2/9*m**3 - 2/9*m = 0.
-1, 0, 1
Solve -3/5*u**4 - 3/5*u**3 + 6/5*u**2 + 0*u + 0 = 0.
-2, 0, 1
Let d(t) be the first derivative of -4*t**3/3 + 8*t**2 + 20*t - 1. Factor d(f).
-4*(f - 5)*(f + 1)
Let d(l) be the third derivative of -l**7/1400 - l**6/300 + l**3 + 3*l**2. Let y(k) be the first derivative of d(k). Determine r so that y(r) = 0.
-2, 0
Factor 0 - 2/3*m + 4/3*m**2 - 2/3*m**3.
-2*m*(m - 1)**2/3
Let r = -5/8 + 41/40. Let x = 15 - 12. Factor r*m**x - 2/5*m**2 + 2/5*m**4 - 2/5*m + 0.
2*m*(m - 1)*(m + 1)**2/5
Let q(h) be the third derivative of 1/12*h**3 + 0 - h**2 + 7/96*h**4 + 0*h + 1/48*h**5. Factor q(j).
(j + 1)*(5*j + 2)/4
Find m such that -12/13*m + 2/13*m**2 + 18/13 = 0.
3
Factor 4*d**2 - 654*d**3 + 657*d**3 + 8*d**2 + 9*d.
3*d*(d + 1)*(d + 3)
Let b(g) = -16*g**3 - 8*g + 12. Let z(t) = 17*t**2 - 17*t**2 - t**3 - 2*t + 1 + t. Let l(v) = b(v) - 12*z(v). Factor l(d).
-4*d*(d - 1)*(d + 1)
Suppose 0 = 27*h - 20*h - 14. Suppose 5*d - 4*z = 19, 2*d - 3*z - 9 = -0*z. Find v, given that 3/4*v + 1/4 - v**d + 0*v**h = 0.
-1/2, 1
Suppose -6 = -5*q + 9. Suppose -b - 11 = -4*g, 6*g - q*g + 4*b = -6. Solve 1/2*w**3 - 1/2*w**g - 1/2*w + 1/2*w**4 + 0 = 0 for w.
-1, 0, 1
Let x(m) = m + 7. Let g be x(-3). Let 3*y + g - 3 + 3*y**2 + 0*y**3 + y**3 = 0. Calculate y.
-1
Let r be (-1)/(-6)*2*0. Factor 2*l**4 - 3*l**5 + r*l**5 + l - 2*l**2 + 2*l**5.
-l*(l - 1)**3*(l + 1)
Let g(v) = -7*v**4 + 5*v**3 + 10*v**2 - 2*v - 2. Let y(b) = -15*b**4 + 10*b**3 + 20*b**2 - 5*b - 5. Let p(h) = -5*g(h) + 2*y(h). Factor p(t).
5*t**2*(t - 2)*(t + 1)
Let k(g) = -g + 4. Let w be k(8). Let m be 144/40 + w/(-10). Suppose -m*l**3 - 1/3*l + 0 - 2*l**2 - l**5 - 10/3*l**4 = 0. What is l?
-1, -1/3, 0
Let b(c) be the first derivative of c**3/9 - c**2/6 - 2*c/3 + 4. Suppose b(f) = 0. What is f?
-1, 2
Suppose c + 2*c - 6 = 0. Suppose 10 = h + 2*h + r, -c*h = -r - 10. Factor p**4 - h*p**3 + 3*p**2 + p - 2*p + p**3.
p*(p - 1)**3
Suppose 2*s + 6 = 5*s. Let -w**3 - 2*w**3 + 0*w + 2*w**3 + 2*w + w**s = 0. What is w?
-1, 0, 2
Factor -2/3*q**5 + 0*q + 4*q**4 - 6*q**3 + 8/3*q**2 + 0.
-2*q**2*(q - 4)*(q - 1)**2/3
Let p(l) be the first derivative of l**6/45 - l**5/30 - 3*l - 5. Let b(g) be the first derivative of p(g). Factor b(c).
2*c**3*(c - 1)/3
Let k(x) be the first derivative of x**5/120 - x**4/24 + x**2/2 + 5. Let n(m) be the second derivative of k(m). Factor n(w).
w*(w - 2)/2
Solve 4 - 4/5*f**2 + 16/5*f = 0.
-1, 5
Let l(f) = f**3 - 6*f**2 - 1. Let y be l(6). Let p(t) = -5*t**3 - 2*t**2 - t. Let v be p(y). Factor 0 + 6/5*u**2 - 6/5*u**3 - 2/5*u + 2/5*u**v.
2*u*(u - 1)**3/5
Factor 4*s**3 - 5*s - 6*s**2 + 5*s - 2*s**2 + 4*s.
4*s*(s - 1)**2
Factor -4*r**5 + 2*r**5 + 24*r + 4*r**3 - 26*r.
-2*r*(r - 1)**2*(r + 1)**2
Let d(m) = -25*m**2 - 6*m - 11. Let p(i) = -5*i**2 - i - 2. Let w(y) = -2*d(y) + 11*p(y). Factor w(u).
-u*(5*u - 1)
Let t(u) be the first derivative of -u**4/4 - 2*u**3/3 + 14. Factor t(f).
-f**2*(f + 2)
Let c be (-5*2/6)/((-51)/170). Suppose -4*v + 6*v - 10 = 0. Let -40/9*u**2 - 8/9*u + 0 + c*u**v + 40/9*u**4 - 14/3*u**3 = 0. What is u?
-1, -2/5, 0, 1
Let 0 + 4/7*f**4 - 2/7*f**3 + 2/7*f**5 - 4/7*f**2 + 0*f = 0. What is f?
-2, -1, 0, 1
Let 0 - g**3 - 2/3*g**4 + 1/3*g**5 + 0*g**2 + 0*g = 0. What is g?
-1, 0, 3
Let x(n) be the third derivative of -n**5/140 - 3*n**4/56 - n**3/7 + 48*n**2. Find c such that x(c) = 0.
-2, -1
Suppose 0 = -t + 5*t - 8. Suppose -t*f = -2 - 4. Find i, given that -2/5*i**2 + 0 + 2/5*i**f - 2/5*i + 2/5*i**4 = 0.
-1, 0, 1
Let a(r) be the third derivative of 5*r**6/8 + 3*r**5/2 - 9*r**4/2 + 4*r**3 + 11*r**2. Factor a(l).
3*(l + 2)*(5*l - 2)**2
Let n = 149 - 1337/9. Find j such that 2/9*j**2 - 8/9*j**3 + 0 - 2/3*j**4 + n*j = 0.
-1, 0, 2/3
Factor 3/2 + j - 1/2*j**2.
-(j - 3)*(j + 1)/2
Let h(v) be the first derivative of v**7/210 - v**6/60 + v**5/60 + v**2 + 1. Let m(p) be the second derivative of h(p). Suppose m(x) = 0. Calculate x.
0, 1
Solve 0*l**4 + 0*l**4 + 30*l**5 - 34*l**5 = 0 for l.
0
Let y(h) be the third derivative of -h**5/80 - h**4/8 - h**3/2 + 6*h**2. Let y(k) = 0. What is k?
-2
Suppose 4*x = 20, -4*u - 2*x = -2 - 8. Let b = u + 0. Factor -2/5 + 2/5*c**2 + b*c.
2*(c - 1)*(c + 1)/5
Suppose -14 = -5*w - y - y, 3*w - 4*y = -2. Let g(f) be the first derivative of w - f + 1/3*f**3 + 0*f**2. Solve g(l) = 0.
-1, 1
Find t, given that -9*t**4 - 33/2*t + 3 - 3/2*t**3 + 24*t**2 = 0.
-2, 1/3, 1/2, 1
Let u(m) be the second derivative of 0 + 1/2*m**3 + 1/4*m**4 + 6*m - 3*m**2. Let u(d) = 0. What is d?
-2, 1
Suppose 8 = 3*s + s. Suppose -2*l - 3*l - 7 = -2*z, -2*z = s*l. Solve c - c**4 + 3*c**5 + c**2 + c**2 - 2*c**3 - 2*c**5 - z = 0.
-1, 1
Let y(g) = -4*g**2 + 36*g - 16. Let x(o) = -o**2 + 7*o - 3. Let r(a) = 16*x(a) - 3*y(a). Solve r(d) = 0 for d.
0, 1
Let t = -17 + 10. Let v(q) = -q**2 - 8*q - 5. Let j be v(t). Factor 2/7*w**3 + 0*w + 0 - 2/7*w**j.
2*w**2*(w - 1)/7
Let s(i) = -5*i**2 + 3*i - 5. Let y(p) = 3*p**2 - 2*p + 3. Suppose 2*k = -k. Let d be (-2)/(6/21 + k). Let v(g) = d*y(g) - 4*s(g). Factor v(m).
-(m - 1)**2
Let i(r) be the second derivative of -r**6/2 - 6*r**5/5 + r**4 + 6*r. Factor i(u).
-3*u**2*(u + 2)*(5*u - 2)
What is v in 4/5*v + 4/5*v**2 - 4/5*v**3 + 0 - 4/5*v**4 = 0?
-1, 0, 1
Suppose 0 + 4/5*t + 1/5*t**4 + t**3 + 8/5*t**2 = 0. Calculate t.
-2, -1, 0
Let x(q) be the first derivative of -q**9/9072 - q**8/5040 - q**3/3 - 4. Let h(c) be the third derivative of x(c). Factor h(z).
-z**4*(z + 1)/3
Let r(s) = 2*s**4 + 2*s**3 + 2*s**2 + 6*s. Let g(t) = -3*t**4 - 3*t**3 - t**2 - 5*t + 1. Let l = -19 - -23. Let w(c) = l*g(c) + 5*r(c). Let w(b) = 0. What is b?
-1, 2
Factor o**3 - 2*o**2 + 0*o**2 - 3*o**4 - 3*o - 10*o**3 - 7*o**2.
-3*o*(o + 1)**3
Factor -4/5*x + 0 - 4/5*x**5 + 8/5*x**3 + 0*x**2 + 0*x**4.
-4*x*(x - 1)**2*(x + 1)**2/5
Let g = 11 - 8. Let l = -18 - -22. Find w, given that 2*w**3 + 0*w**g - l*w**3 - w**2 + w**3 = 0.
-1, 0
Let v be -105 - -8*(-5)/10. Let h = v + 983/9. Solve h*p + 0 + 2/9*p**2 = 0.
-1, 0
Let f(o) be the third derivative of o**8/6720 + o**7/1260 + o**6/720 + o**4/24 + 3*o**2. Let d(a) be the second derivative of f(a). Suppose d(j) = 0. What is j?
-1, 0
Let r(c) be the second derivative of -c**4/30 - 13*c**3/15 - 12*c**2/5 + 45*c. Factor r(i).
-2*(i + 1)*(i + 12)/5
Let s be -5*(-1)/5*3. Let a(l) be the second derivative of 0 - l**s - 3*l**2 - 2*l - 1/8*l**4. Let a(d) = 0. What is d?
-2
Let k(s) be the third derivative of 2/135*s**5 + 0 + 0*s**4 + 0*s + 3*s**2 + 0*s**3 + 1/945*s**7 - 1/135*s**6. Factor k(d).
2*d**2*(d - 2)**2/9
Suppose -10 = -4*t + 14. Solve -6 - 2*o**2 - 5*o + 4*o - o**3 + t = 0.
-1, 0
Let o(z) be the third derivative of z**10/15120 + z**9/1680 + z**8/672 + z**7/840 - 5*z**4/12 + 8*z**2. Let j(c) be the second derivative of o(c). Factor j(g).
g**2*(g + 1)*(g + 3)*(2*g + 1)
Let q = -3/17 + 29/68. Solve 1/4*t**3 + 0 - q*t - 1/4*t**4 + 1/4*t**2 = 0 for t.
-1, 0, 1
Suppose 5*r - 5*l + 20 = 0, 45*r - 40*r + 12 = 3*l. Suppose 0 - 7/4*v**5 + r*v + 7/4*v**3 - 1/2*v**2 + 1/2*v**4 = 0. Calculate v.
-1, 0, 2/7, 1
Let n = 398 - 1982/5. Factor -n*x**4 - 12/5*x**3 - 8/5*x**2 + 0 - 2/5*x**5 - 2/5*x.
-2*x*(x + 1)**4/5
Suppose -14*z + 10*z = 0. Determine p so that -1/5*p + z - 3/5*p**4 + p**3 - 4/5*p**5 + 3/5*p**2 = 0.
-1, 0, 1/4, 1
Let h be (7 - 4)*(1 + 2/(-6)). Let o(g) be the first derivative of -3*g - 3/8*g**4 - 2*g**3 + 2 - 15/4*g**h. Factor o(n).
-3*(n + 1)**2*(n + 2)/2
Suppose 4*a = b - 23, 10 = -5*b - 3*a - 2*a. Suppose 6*c - 15 = -3. Factor -3/2*y**c + 1/2*y**b - 1/2 + 3/2*y.
(y - 1)**3/2
Let a = 135 + -135. Factor a + 1/3*j**3 + 0*j**2 - 1/3*j.
j*(j - 1)*(j + 1)/3
Let o = -7 - -9. Let c = o + -2. Suppose 0 + c*h + 0*h**2 - 2/9*h**4 + 4/9*h**3 = 0. Calculate h.
0, 2
Let u(g) = -g**5 + g**4 - g**2 - 1. Let q(i) = -i**5 + 5*i**4 + 2*i**3 - 4*i**2 - 3*i - 3. Let j = -10 + 9. Let o(s) = j*q(s) + 2*u(s). Factor o(x).
-(x - 1)*(x + 1)**4
Suppose -q - 4*q = 0. Let x(k) be the third derivative of 0*k**3 + k**2 + q - 1/72*k**4 + 1/90*k**5 + 0*k - 1/360*k**6. Factor x(l).
-l*(l - 1)**2/3
Suppose m + 6 = 8. Let 2/7*n**m + 2/7*n**5 + 0*n + 0 - 2/7*n**4 - 2/7*n**3 = 0. Calcul