ppose -4*v - w = -8, -p*v + 3*w = w - 14. Factor d**2 + 0*d**4 + 2*d - 2*d**4 - 2*d**v + d**2.
-2*d*(d - 1)*(d + 1)**2
Let j be (-39)/2*(-4)/(-8). Let c = j - -10. Let -c*w**2 + 1/4 + 0*w = 0. Calculate w.
-1, 1
Factor 0*a**2 + 0 + 0*a**3 - 2/5*a**4 + 0*a.
-2*a**4/5
Let r(d) = 4*d + 119. Let q be r(-29). Let x(a) be the second derivative of -a + 0 - 2*a**2 + 3/10*a**5 + 1/15*a**6 - a**q + 1/6*a**4. Factor x(p).
2*(p - 1)*(p + 1)**2*(p + 2)
Suppose -w = -l - 0*w, 5*l = -4*w + 18. Factor 2*c**3 + 4*c**l + 6*c**3 - c**2 - 5*c**3.
3*c**2*(c + 1)
Let c(s) = 5*s**2 - 2*s - 3. Suppose 2*o = -0*o + 18. Let z(w) = w - 4*w - 7 + 11*w**2 - w. Let g(a) = o*c(a) - 4*z(a). Factor g(y).
(y - 1)**2
Let p be 1/(9/6) + (-1)/6. Find q such that -1/4*q + 0*q**3 + 0 + 1/2*q**2 - p*q**4 + 1/4*q**5 = 0.
-1, 0, 1
Let s be 12/21 + (-60)/105. Factor 2/3*u**2 - 2/3 + s*u.
2*(u - 1)*(u + 1)/3
Factor -1/5*k**3 + 0 - 1/5*k**2 + 2/5*k.
-k*(k - 1)*(k + 2)/5
Factor 5*g**2 + 16*g**3 - 13*g**2 - 25*g + 7 + 5 + 9*g - 4*g**4.
-4*(g - 3)*(g - 1)**2*(g + 1)
Let b(s) = -45*s**3 + 10*s**2 + 40*s - 15. Let q(x) = -x**2 + 1. Let i(h) = -b(h) + 5*q(h). Factor i(p).
5*(p + 1)*(3*p - 2)**2
Let s(d) = 7*d**2 - 7*d - 3. Let c(o) = -34*o**2 + 34*o + 14. Let m(u) = -3*c(u) - 14*s(u). Determine q, given that m(q) = 0.
0, 1
What is j in -22/25*j**3 + 0 + 4/25*j**2 + 32/25*j**4 + 0*j - 14/25*j**5 = 0?
0, 2/7, 1
Let c(m) be the third derivative of m**8/80640 - m**6/2880 + m**5/20 + 3*m**2. Let j(q) be the third derivative of c(q). What is v in j(v) = 0?
-1, 1
What is q in 0*q - 1/3 + 1/3*q**2 = 0?
-1, 1
Let f(r) = -5*r**2 + 7*r - 3. Let t(b) = 14*b**2 - 20*b + 8. Let k(n) = 8*f(n) + 3*t(n). Factor k(g).
2*g*(g - 2)
Let t be (-5 + -3)*(-6)/16. Determine n, given that -1/5*n**4 - 4/5*n**2 + 0 + 0*n + 4/5*n**t = 0.
0, 2
Let v(u) = -u - 2. Let m be v(-3). Suppose 3/2*i**4 - 9/2*i + 15/2*i**2 - 11/2*i**3 + m = 0. Calculate i.
2/3, 1
Solve 14/5*f**3 + 12/5*f**4 - 14/5*f - 2*f**2 - 2/5 = 0 for f.
-1, -1/6, 1
Let k(s) be the third derivative of 0 + 0*s - 1/12*s**3 - 1/96*s**4 - 2*s**2 + 1/240*s**5. Solve k(c) = 0 for c.
-1, 2
Let f(y) be the third derivative of y**5/180 - y**4/6 + 2*y**3 - 11*y**2. Factor f(u).
(u - 6)**2/3
Factor 0 - 2/11*z**4 + 2/11*z + 2/11*z**2 - 2/11*z**3.
-2*z*(z - 1)*(z + 1)**2/11
Let w(i) = 2*i**3 + 8*i**2 + 4*i + 4. Let t(c) = -2*c**3 - 8*c**2 - 5*c - 3. Let d(x) = -4*t(x) - 3*w(x). Factor d(r).
2*r*(r + 2)**2
Let a(o) be the third derivative of -o**5/180 + 5*o**4/18 - 50*o**3/9 - 32*o**2. Factor a(u).
-(u - 10)**2/3
Let m(i) be the second derivative of i**6/20 + 3*i**5/40 - i**4/8 - i**3/4 + 4*i. What is t in m(t) = 0?
-1, 0, 1
Let s(w) = w + 1. Let m be s(1). Suppose m*x - 3*x + 3 = 0. Factor h - 6*h**2 + 9*h - x - 1.
-2*(h - 1)*(3*h - 2)
Suppose 10*c = 4*c + 12. Solve 1/3*l + 0 - 1/3*l**c = 0.
0, 1
Let i(h) be the first derivative of -3*h**8/560 - h**7/70 - h**6/120 - 7*h**3/3 - 1. Let f(c) be the third derivative of i(c). Factor f(y).
-3*y**2*(y + 1)*(3*y + 1)
Factor 1/6 - 1/6*g**2 + 1/12*g**3 - 1/12*g.
(g - 2)*(g - 1)*(g + 1)/12
Determine m, given that -13*m**3 + 18*m + 27*m**2 - 18*m - 5*m**3 + 3*m**4 = 0.
0, 3
Let a(i) be the third derivative of 0 + 1/40*i**6 + 0*i**3 - 1/20*i**5 + 3*i**2 + 0*i - 1/8*i**4 + 1/70*i**7. Factor a(u).
3*u*(u - 1)*(u + 1)**2
Let q be (5/5 + 0)*0/(-1). Factor -4/7*n**3 + 0*n + 2/7*n**4 + q + 2/7*n**2.
2*n**2*(n - 1)**2/7
Factor 0*n + 6 - 3/2*n**2.
-3*(n - 2)*(n + 2)/2
Let u(i) = 2*i**3 - 2*i**2 + 2*i - 1. Let l be (3/(-2) + 1)*-2. Let r be u(l). What is s in -3*s**2 + 3*s + 4*s**2 - 5*s + 2 - r = 0?
1
Factor -12 - 55*a - 607*a**2 - 5*a**3 + 637*a**2 + 42.
-5*(a - 3)*(a - 2)*(a - 1)
Let a(h) = h**2 + 4*h - 3. Let k be a(2). Let m = k - 5. Solve m*c + 2 + 0*c**2 + 2*c**2 + 0 = 0 for c.
-1
Factor 6/13*o - 4/13 - 2/13*o**2.
-2*(o - 2)*(o - 1)/13
Let s(g) be the first derivative of 9/10*g**4 + 1 + 4/15*g**3 - 3/5*g**6 - 4/25*g**5 + 0*g + 0*g**2. Determine y, given that s(y) = 0.
-1, -2/9, 0, 1
Let o(t) be the second derivative of 0 + 0*t**2 - 3*t - 1/30*t**3 - 1/60*t**4. Factor o(a).
-a*(a + 1)/5
Let t = -45 - -48. Let r(u) = -u - 1. Let o be r(-3). Factor -1/2*l**o + 0*l + 1/2*l**t + 0.
l**2*(l - 1)/2
Let f(l) = 2*l**4 - 4*l**3 + 2. Let h be (10/4)/(3/(-6)). Let q(z) = 2*z**4 - 4*z**3 - z + 3. Suppose -8 = t - 3*t. Let n(m) = h*f(m) + t*q(m). Factor n(w).
-2*(w - 1)**3*(w + 1)
Let d(g) = 10*g**2 - 5*g - 22. Let x(b) = -9*b**2 + 6*b + 21. Let p(w) = 6*d(w) + 7*x(w). Factor p(c).
-3*(c - 5)*(c + 1)
Let z(g) be the first derivative of -g**4/18 + 4*g**3/27 + g**2/9 - 4*g/9 + 12. Factor z(y).
-2*(y - 2)*(y - 1)*(y + 1)/9
Let z(c) be the first derivative of -2*c**5/5 + c**4/2 + 2*c**3 - c**2 - 4*c - 5. Solve z(y) = 0.
-1, 1, 2
Let u(o) be the first derivative of -o**4/12 + o**3/2 - o**2 - 2*o - 3. Let p(g) be the first derivative of u(g). Let p(x) = 0. Calculate x.
1, 2
Let t(d) = 3*d**4 + 5*d**3 + 9*d**2 + 5*d - 2. Let l(h) = -5*h**4 - 8*h**3 - 14*h**2 - 8*h + 3. Let c(o) = 5*l(o) + 8*t(o). Factor c(i).
-(i - 1)**2*(i + 1)**2
Let x(h) be the first derivative of -2*h**3 - 3/8*h**4 - 3*h + 5 - 15/4*h**2. Factor x(t).
-3*(t + 1)**2*(t + 2)/2
Find v such that 24 + 0 + 2*v - 46*v + 12*v**2 = 0.
2/3, 3
Solve -2/7*y**2 + 4/7*y + 6/7 = 0.
-1, 3
Let r = 73 + -71. Let 0*g**4 + 1/5*g**3 - 1/5*g**5 + 0 + 0*g**r + 0*g = 0. Calculate g.
-1, 0, 1
Let p(g) be the second derivative of -g**7/70 - 3*g**6/50 + g**4/5 + 4*g. Factor p(o).
-3*o**2*(o - 1)*(o + 2)**2/5
Determine a so that -a**2 - 2*a**2 - 3*a**3 + 0*a**2 + 6*a**4 = 0.
-1/2, 0, 1
Let t be (10/(-15))/(1/(-3)). Factor -2*r + 1 + r**2 - t*r + r + r.
(r - 1)**2
Let o(q) = q**2 + 2*q - 5. Let r be o(-7). Let u = 151/5 - r. Factor -1/5*s**3 + 0 + u*s**2 - s**4 - 3/5*s**5 + 0*s.
-s**2*(s + 1)**2*(3*s - 1)/5
Let 0*z + 1/4*z**3 - 1/4*z**2 + 0 = 0. What is z?
0, 1
Let n = 12 + -4. Suppose 2*k + s = -4*s + 16, 5*k - 19 = -2*s. Factor -4/3 - 25/3*a**k - 15*a**2 - n*a.
-(a + 1)*(5*a + 2)**2/3
Let w(n) be the third derivative of 1/60*n**5 + 0 + 1/6*n**3 - n**2 - 1/12*n**4 + 0*n. Factor w(s).
(s - 1)**2
Let u(s) = s**2 - 7*s - 6. Let q(d) = 10 + d**2 - 18 - 5*d + 1 - 3*d. Let n(z) = 6*q(z) - 7*u(z). Suppose n(w) = 0. What is w?
0, 1
Find b such that 3*b**3 - 3*b + 9*b**4 + b**2 - 5*b**2 - 5*b**2 = 0.
-1, -1/3, 0, 1
Suppose 3*d + 5*b - 26 = 0, -d + 3*b + b - 14 = 0. Let o = -1363/7 + 195. Determine f so that 0 - 2/7*f - o*f**3 - 4/7*f**d = 0.
-1, 0
Let v(q) be the third derivative of -q**6/300 + q**5/150 + q**4/60 - q**3/15 + 10*q**2. Solve v(y) = 0 for y.
-1, 1
Let m be (-55)/(-33) + 1/(-3). Let z(d) be the third derivative of -2*d**2 + 1/30*d**5 + m*d**3 + 0 + 1/3*d**4 + 0*d. Find a, given that z(a) = 0.
-2
Let t(k) be the third derivative of -2*k**7/105 - k**6/5 - k**5/15 + 4*k**4 - 32*k**3/3 - 23*k**2. Factor t(j).
-4*(j - 1)**2*(j + 4)**2
Suppose 0 = a - 0*a - 2*m + 10, 3*a = -3*m + 6. Let v = a + 4. Determine p so that 4*p - p**4 + p**v - p**3 + 0*p**2 - 3*p = 0.
-1, 0, 1
Let h be (10/(-6))/((-2)/18). Let p = -10 + h. Factor 3/4*n**p + 3/4*n**2 - 3/4*n**3 + 0*n - 3/4*n**4 + 0.
3*n**2*(n - 1)**2*(n + 1)/4
Let w be (-2)/4*(0 + 0). Suppose 3*n + w*n - 9 = 0. Factor 1/4*f - 1/2*f**2 + 1/4 + 1/4*f**4 - 1/2*f**n + 1/4*f**5.
(f - 1)**2*(f + 1)**3/4
Factor 0 - 2/5*l - 1/5*l**2.
-l*(l + 2)/5
Let z be 6/60*2/24. Let i(f) be the third derivative of 0*f + 0*f**5 - z*f**6 + 0*f**7 + 0 + 1/336*f**8 + 0*f**4 - f**2 + 0*f**3. Factor i(l).
l**3*(l - 1)*(l + 1)
Let a(y) be the first derivative of y**4/16 - y**3/12 + 48. Determine k, given that a(k) = 0.
0, 1
Let i be (-2)/9 - (-2786)/11970. Let h = i - -369/1045. Factor -6/11*a**5 - 14/11*a**4 + 6/11*a**2 + h*a - 6/11*a**3 + 0.
-2*a*(a + 1)**3*(3*a - 2)/11
Let m(o) be the third derivative of 7*o**5/480 - o**4/12 + o**3/12 - 12*o**2. Let m(s) = 0. What is s?
2/7, 2
Let u(l) be the second derivative of -1/5*l**2 + 0 + 1/75*l**6 - 2/15*l**3 + 0*l**4 + 3*l + 1/25*l**5. Determine h so that u(h) = 0.
-1, 1
Let c(a) = 2*a**2 - 6*a + 1. Let z(r) = 3*r**2 - 11*r + 1. Let o(u) = 10*c(u) - 6*z(u). Factor o(m).
2*(m + 1)*(m + 2)
Let a(w) be the third derivative of -w**6/180 - w**5/45 - w**4/36 + 2*w**2 - 10. Find z, given that a(z) = 0.
-1, 0
Suppose -13*f + 120 = -8*f. Let s = -21 + f. Let 9/2*