mine s so that p(s) = 0.
-1, 1, 2
Suppose 30 = -2*n + p + 39, p = 1. Factor 1/2*a + 1/2*a**n + 0*a**4 + 0 + 0*a**2 - a**3.
a*(a - 1)**2*(a + 1)**2/2
Let v(q) be the first derivative of 1/3*q**6 + 1 + 2*q - 4/3*q**3 + q**2 - q**4 + 2/5*q**5. Solve v(g) = 0 for g.
-1, 1
What is w in -30/11*w - 50/11 - 2/11*w**3 + 18/11*w**2 = 0?
-1, 5
Let c(x) be the second derivative of -x**4/6 + x**3 + 4*x**2 - 10*x. Factor c(v).
-2*(v - 4)*(v + 1)
Let z be (-5)/(-5)*(1 - -2). Let j(k) be the first derivative of -2/9*k**z + 2/3*k - 1/3*k**2 + 2 + 1/6*k**4. Factor j(r).
2*(r - 1)**2*(r + 1)/3
Let z(d) be the third derivative of 0 + 0*d**3 - 1/24*d**4 - 1/120*d**5 + 8*d**2 + 0*d. Factor z(j).
-j*(j + 2)/2
Suppose -2*z + q - 19 = 0, 2*z - 3*q + 8 = -5. Let o = 13 + z. Factor 1/4 - 1/4*i**o + 0*i.
-(i - 1)*(i + 1)/4
Factor 10/3 - 3*d - 1/3*d**2.
-(d - 1)*(d + 10)/3
Let k(f) be the third derivative of -1/36*f**4 + 0*f**3 + 2*f**2 - 1/180*f**6 + 0 + 0*f + 1/45*f**5. Factor k(l).
-2*l*(l - 1)**2/3
Factor 8*z**2 + 4/3*z**3 + 0*z + 0.
4*z**2*(z + 6)/3
Suppose -2*h + 3*h = 4*p + 16, 0 = -3*p - 9. Let u(s) be the second derivative of -s + 7/30*s**5 + 0*s**2 - 1/9*s**h - 4/45*s**6 + 0 - 1/9*s**3. Solve u(b) = 0.
-1/4, 0, 1
Suppose -4*y - 2*l + 6 = -y, -4 = -2*y - 4*l. Factor w**2 + 3*w**4 + 3 - 3*w**2 + 2*w**y - 6*w**2.
3*(w - 1)**2*(w + 1)**2
Let r(u) be the first derivative of u**6 - 2*u**5/5 - 5*u**4/2 + 2*u**3/3 + 2*u**2 + 12. Determine d so that r(d) = 0.
-1, -2/3, 0, 1
Let w(d) be the second derivative of -d**5/120 - d**4/16 - d**3/6 - d**2 + 4*d. Let m(j) be the first derivative of w(j). Suppose m(u) = 0. What is u?
-2, -1
Suppose 0*t + t = 4*x - 20, -t + 20 = 4*x. Factor 0*q - 4*q - 8*q**4 - 2*q**2 + 10*q**2 + 0*q**4 + 4*q**x.
4*q*(q - 1)**3*(q + 1)
Suppose -m - 2*m = -6. Factor h - 2 - 4*h + 20*h**2 - 8*h**m - 7*h**3.
-(h - 1)**2*(7*h + 2)
Let t = -2 - -2. Let a(u) be the third derivative of u**2 + 1/240*u**5 + 1/96*u**4 + t + 0*u + 0*u**3. Determine v so that a(v) = 0.
-1, 0
Let m(y) be the second derivative of y**5/5 - 2*y**3/3 - 5*y. Factor m(b).
4*b*(b - 1)*(b + 1)
Let w(u) be the second derivative of 0 + 1/6*u**3 + 1/3*u**4 + 2/15*u**6 + 0*u**2 + 3/10*u**5 + 1/42*u**7 + u. Factor w(t).
t*(t + 1)**4
What is s in 0*s + 0 - 2/7*s**3 + 8/7*s**2 = 0?
0, 4
Let -12 - 15*o**3 + 4 + 3*o**3 + 4*o**4 + 12*o + 4*o**2 = 0. What is o?
-1, 1, 2
Let b be ((-7)/(-42))/((16/6)/4). Factor 1/4*n**2 - b*n**3 + 0*n + 0.
-n**2*(n - 1)/4
Let g(l) be the first derivative of 0*l**2 + 1/5*l**5 - 1/2*l**4 + 0*l + 2 + 1/3*l**3. Factor g(u).
u**2*(u - 1)**2
Let l(z) be the third derivative of 1/12*z**4 + 0*z**3 + 0*z + z**2 + 1/105*z**7 - 1/60*z**6 + 0 - 1/30*z**5. Factor l(k).
2*k*(k - 1)**2*(k + 1)
Let w be 0/2 + 0 + 14. Let m be 12/(-28)*w/(-4). Factor -r**3 - m*r**2 + 0*r + 1/2.
-(r + 1)**2*(2*r - 1)/2
Suppose r + 5 = 2. Let c be r/14*(-20)/15. Let -c*h**3 + 2/7*h + 0 + 0*h**2 = 0. Calculate h.
-1, 0, 1
Let q(k) be the third derivative of -k**8/42 + k**7/105 - 7*k**2. What is t in q(t) = 0?
0, 1/4
Find v such that 11*v**3 + 64/3*v + 1/3*v**5 - 14/3*v**4 + 0 + 112/3*v**2 = 0.
-1, 0, 8
Factor 10/3*k**3 + 0 - 4/3*k + 2*k**2.
2*k*(k + 1)*(5*k - 2)/3
Let f(s) be the first derivative of 32*s**5/5 + 4*s**4 - 10*s**3 - 8*s**2 - 2*s + 6. Factor f(v).
2*(v - 1)*(v + 1)*(4*v + 1)**2
Let k(a) = -4 - 2*a**3 + 7*a + a**3 + 11*a**2 - 6*a**2. Let b be k(6). Factor -b - 3*n**2 + n + 2 + 4*n**2.
n*(n + 1)
Let l be (-45)/30*(-8)/18. Let f(a) be the second derivative of 0 - 1/10*a**5 + 0*a**2 - 4/3*a**3 + l*a**4 - 2*a. Factor f(c).
-2*c*(c - 2)**2
Let s be (1 + 3/(-2))*48/(-28). Factor -4/7 + 4/7*j**2 - s*j.
2*(j - 2)*(2*j + 1)/7
Let l(p) be the first derivative of p**5/10 - 3*p**3/2 + p**2 + 6*p - 45. Factor l(i).
(i - 2)**2*(i + 1)*(i + 3)/2
Suppose -v + 7 = -4*f, -2*f + 9 = v - 4. Suppose -4*r + 2*c = -22, 0 = r + 4*c + v - 3. Solve -17/2*n**r - 21/2*n**3 - 11/2*n**2 + 0 - 5/2*n**5 - n = 0.
-1, -2/5, 0
Let l(y) be the third derivative of y**9/15120 - y**8/2240 + y**7/840 - y**6/720 + y**4/24 - 4*y**2. Let r(i) be the second derivative of l(i). Factor r(g).
g*(g - 1)**3
Let b(s) be the second derivative of -s**2 + 1/60*s**5 + 1/24*s**4 + s - 1/120*s**6 - 1/6*s**3 + 0. Let j(r) be the first derivative of b(r). Factor j(g).
-(g - 1)**2*(g + 1)
Let d(r) = r**3 - 5*r**2 + 2*r - 5. Let q be d(5). Let p(u) be the third derivative of -1/21*u**3 + 0 + 1/42*u**4 + 3*u**2 + 0*u - 1/210*u**q. Factor p(y).
-2*(y - 1)**2/7
Let c(y) be the second derivative of 0 - 1/120*y**5 - 1/16*y**4 - 1/6*y**3 + y - y**2. Let q(u) be the first derivative of c(u). Suppose q(p) = 0. Calculate p.
-2, -1
Let b(f) be the first derivative of f**6/6 + f**5/5 + 2. Solve b(x) = 0.
-1, 0
Let m(d) = -d**3 - 5*d**2 + 4*d - 8. Let p be m(-6). Let x be (-2 - -3)/(2/p). What is a in 3/2*a**2 + x + 3*a + 1/4*a**3 = 0?
-2
Suppose -2/9*o**3 + 2/3 + 10/9*o + 2/9*o**2 = 0. Calculate o.
-1, 3
Let o(l) be the second derivative of -5*l**7/63 + 64*l**6/135 - 29*l**5/30 + 17*l**4/27 + 4*l**3/9 - 8*l**2/9 + 55*l. Find x, given that o(x) = 0.
-2/5, 2/3, 1, 2
Let j(w) = w**4 + 4*w**3 + w**2 - w - 4. Let g(q) = q**4 + 4*q**3 - 2*q - 5. Let a(m) = 5*g(m) - 6*j(m). Suppose a(y) = 0. Calculate y.
-1
Let r(h) = -h**2 + 1. Let o(s) = 13*s**2 + 20*s - 17. Let n(p) = -o(p) - 5*r(p). Factor n(c).
-4*(c + 3)*(2*c - 1)
Suppose 2*h - 2 = j + 3, 0 = 3*j - 9. Suppose -2*t + 0*t = -z - h, 5*z - 36 = -4*t. Find b such that -2*b**3 + 2*b - z*b**2 - 3*b**3 + 7*b**3 = 0.
0, 1
Let n = -337 + 339. Find b, given that 2/15*b**n + 0 - 4/15*b = 0.
0, 2
Let c(m) be the third derivative of m**6/60 + 2*m**5/15 + 5*m**4/12 + 2*m**3/3 - 6*m**2. Factor c(i).
2*(i + 1)**2*(i + 2)
Let a(f) be the first derivative of f**4/14 - 2*f**3/21 - f**2/7 + 2*f/7 + 11. Suppose a(r) = 0. What is r?
-1, 1
Let u(h) = -9*h**2 + 5. Let i(o) = -44*o**2 + 24. Let g(d) = 5*i(d) - 24*u(d). Factor g(b).
-4*b**2
Let i(c) be the first derivative of -c**4/36 + c**3/18 + 2*c + 3. Let m(s) be the first derivative of i(s). Factor m(g).
-g*(g - 1)/3
Let g be 0*1/(-3 - 0). Factor -10*p**4 - 25*p**3 - p**3 + 2 - 18*p**2 + g + 2*p + 2.
-2*(p + 1)**3*(5*p - 2)
Let h(y) be the third derivative of y**7/280 - y**6/80 - 9*y**2. Factor h(w).
3*w**3*(w - 2)/4
Solve -30*c**3 + 40*c**2 - 3*c**5 - 143*c**4 - 57*c**4 - 122*c**5 - 5*c = 0 for c.
-1, 0, 1/5
Determine i so that 2/9*i + 8/9*i**2 + 0 = 0.
-1/4, 0
Let z(i) = 8*i. Let p be z(0). What is c in 2/3*c**4 - 2/3*c**2 + 0 + 8/3*c**3 - 8/3*c**5 + p*c = 0?
-1, 0, 1/4, 1
Let l(r) be the first derivative of -3 - 1/9*r**4 + 1/27*r**6 + 1/9*r**2 + 0*r + 0*r**5 + 0*r**3. Factor l(w).
2*w*(w - 1)**2*(w + 1)**2/9
Let v(i) = -i**2. Let m(t) = -9*t**2 - 24*t + 21. Let r(d) = m(d) - 12*v(d). Determine s, given that r(s) = 0.
1, 7
Let h(s) be the third derivative of 0 + 0*s - 6*s**2 - 1/240*s**5 - 1/12*s**3 - 1/32*s**4. Factor h(j).
-(j + 1)*(j + 2)/4
Find l such that 5/2*l + 9/4*l**2 + 1/4 = 0.
-1, -1/9
Suppose -240*t**2 + 1596*t**4 + 26*t - 144*t**3 + 22*t - 735*t**5 + 0*t = 0. What is t?
-2/5, 0, 2/7, 2
Find i such that 1/3*i**4 + 2/3*i**3 - 8/3*i - 4/3*i**2 + 0 = 0.
-2, 0, 2
Let k(o) = o**2 + 10*o - 8. Let w be k(-12). Suppose -4*r = -2*r + 2*l - w, 3*l + 3 = 0. Let 4 + r*b**3 + 4*b**2 - 10*b**2 + 2 - 9*b = 0. What is b?
-1, 2/3, 1
Let h = -2 + 2. Let j = -4 + 6. Factor 3*w**2 - w**j + h - 2.
2*(w - 1)*(w + 1)
Let a = -10 + 7. Let y be (a/(-42))/(1/4). Suppose 2/7 + 0*i**3 - 4/7*i**2 + 0*i + y*i**4 = 0. Calculate i.
-1, 1
Let d(h) be the first derivative of h**5/10 + h**4/4 - h**2/2 - h/2 - 7. Factor d(g).
(g - 1)*(g + 1)**3/2
Let w be (-36)/(-10) - (-12)/30. What is a in -2*a**2 + 5*a**4 - a**4 + 4*a**3 + 2*a**w = 0?
-1, 0, 1/3
Let g = 3 - 2. Suppose -w = g, 0*x + 3*x - 6 = -3*w. Factor -3*b - 4*b**3 - x*b**2 + 0 - 1 + 3*b**3.
-(b + 1)**3
Let i = 2/1545 + 13163/309. Let y = -42 + i. Factor 6/5*m + y*m**3 + 9/5*m**2 + 0.
3*m*(m + 1)*(m + 2)/5
Let l(u) = -9*u**4 + 57*u**3 - 96*u**2 - 96*u + 33. Let i(m) = m**4 - 7*m**3 + 12*m**2 + 12*m - 4. Let a(k) = -33*i(k) - 4*l(k). Solve a(h) = 0 for h.
-2, -1, 0, 2
Let h(m) be the first derivative of m**5/240 - 5*m**2/2 - 2. Let l(i) be the second derivative of h(i). Factor l(n).
n**2/4
Let a be (11 - 9)*5/2. Suppose -2*z**3 + 3*z**5 - 5*z**