= 3*a**2 + a + 4. Let x be 20/(-6) - 2/3. Let t(u) = -15*u**2 - 6*u - 21. Let j(g) = x*t(g) - 21*b(g). Factor j(w).
-3*w*(w - 1)
Let v(k) be the third derivative of -k**6/360 - k**5/30 - k**4/8 - 7*k**2. Let v(f) = 0. Calculate f.
-3, 0
Let s(n) = -21 + 10*n - 10*n**2 + 8*n + 31*n**2. Let w(d) = d**2 + d - 1. Let u be 1/((-2)/(-1 - -3)). Let g(x) = u*s(x) + 18*w(x). Factor g(y).
-3*(y - 1)*(y + 1)
Factor 2/7*i**3 - 6/7*i + 0*i**2 + 4/7.
2*(i - 1)**2*(i + 2)/7
Let b(m) = -m**2 - 11*m + 10. Let s(l) = -l**2 - 11*l + 10. Let k(v) = 3*b(v) - 4*s(v). Let u be k(-12). Solve -1/3*o**3 + 2/3*o**u + 0 - 1/3*o = 0 for o.
0, 1
Find z, given that 0*z**2 + 0*z**4 + 0*z - 1/10*z**3 + 1/10*z**5 + 0 = 0.
-1, 0, 1
Let g(i) = -i**3 + 8*i**2 + 10*i - 10. Let b be g(9). Let n be b/(-2) + (-2)/(-2). Determine c so that 0 - n*c**2 + 3/4*c**3 + 3/4*c = 0.
0, 1
Let j(f) = f**3 + 4*f**2 - 3*f + 6. Let c be j(-5). Let p = c - -7. Let 2*r + 3*r**p + 2*r**3 - 3*r**3 + 4*r**2 = 0. What is r?
-1, 0
Let i = -23 + 162/7. Let a(p) be the first derivative of 3/7*p**2 + 0*p + i*p**3 - 3. Find r, given that a(r) = 0.
-2, 0
Factor 4*w**4 + 34*w - 26*w - 8*w**3 - 4 - 4*w**2 + 4.
4*w*(w - 2)*(w - 1)*(w + 1)
Let r = 3/64 + 5/64. Factor -r*a**2 + 3/8*a - 1/4.
-(a - 2)*(a - 1)/8
Let r(h) be the first derivative of -4/5*h**5 + 1/2*h**4 - h**2 + 1 + 0*h + 4/3*h**3. Factor r(p).
-2*p*(p - 1)*(p + 1)*(2*p - 1)
Let h(b) be the first derivative of -4 - b**2 + 1/2*b**4 - 1/2*b + 1/6*b**3. Determine c, given that h(c) = 0.
-1, -1/4, 1
Suppose -q + 2 = 2. Factor -1/4*l**2 + 1/2*l**3 + q - 1/4*l**4 + 0*l.
-l**2*(l - 1)**2/4
Let o = -376 - -381. Factor 1/3*w**3 + 0*w**2 - 1/3*w**4 + 0 + 0*w - 2/3*w**o.
-w**3*(w + 1)*(2*w - 1)/3
Let q = -1108/5 + 224. Factor 27*r**2 + 84/5*r + q.
3*(5*r + 2)*(9*r + 2)/5
Let x(q) = -q**2 + 5*q + 6. Let r(s) = 3*s + 3. Let l(c) = 5*r(c) - 3*x(c). Factor l(u).
3*(u - 1)*(u + 1)
Let l be (7 - 2)*(-3 + 2). Let z = 5 + l. Factor -1/2*h + 1/2*h**2 + z.
h*(h - 1)/2
Let h be ((-216)/42 + 6)/((-6)/(-21)). Determine s, given that 0*s + 4/3*s**4 + 0 - 4/3*s**h + 0*s**2 = 0.
0, 1
Find j such that -2/5*j**4 + 6/5*j**3 - 2/5*j**2 + 4/5 - 6/5*j = 0.
-1, 1, 2
Factor -13*q + q**2 - 6*q**2 + 0*q**2 - 2*q.
-5*q*(q + 3)
Let u(n) = 5*n**3 + 5*n**2 + 3*n + 3. Suppose 2*d + 7 + 1 = 0. Let a(w) = -11*w**3 - 11*w**2 - 7*w - 7. Let i(q) = d*a(q) - 9*u(q). Factor i(p).
-(p - 1)*(p + 1)**2
Let z = -2 + -2. Let q = z - -6. Factor g**3 - g + g**3 - 3*g**q - g**4 - 5*g**3.
-g*(g + 1)**3
Let t be -3 + (603/15 - 0). Let n = 38 - t. Let -2/5 + n*a**2 - 2/5*a - 2/5*a**4 + 4/5*a**3 - 2/5*a**5 = 0. Calculate a.
-1, 1
Let h(k) = 3*k**2 + 2*k + 6. Let o(q) = -q**2 - q - 2. Let m(c) = 2*h(c) + 7*o(c). Determine z so that m(z) = 0.
-2, -1
Let a(j) be the first derivative of 3*j**4/32 + j**3/8 - 35. Factor a(c).
3*c**2*(c + 1)/8
Let g(n) = -n**3 - 8*n**2 + 6*n + 2. Let s be g(-9). Let c = -57/2 + s. Factor -1/2*d + 0*d**2 - 1/4 + 1/4*d**4 + c*d**3.
(d - 1)*(d + 1)**3/4
What is l in l**3 - 17*l**3 + 6*l**2 - 4*l**4 - 17*l**2 - 5*l**2 = 0?
-2, 0
Let a be (26/585)/((-1)/(-40)). Let -a*t - 2/9*t**3 - 8/9 - 10/9*t**2 = 0. What is t?
-2, -1
Determine s, given that 2/13 - 4/13*s + 4/13*s**3 + 0*s**2 - 2/13*s**4 = 0.
-1, 1
Let x(j) be the second derivative of 0 + 1/20*j**5 + 1/4*j**2 - 1/84*j**7 + 1/60*j**6 - 1/12*j**4 - 1/12*j**3 - 4*j. Factor x(m).
-(m - 1)**3*(m + 1)**2/2
Let g(i) be the first derivative of i**4/12 - 2*i**2/3 + 21. Suppose g(b) = 0. Calculate b.
-2, 0, 2
Suppose 3*c - 10 = -5*o, 0 = 5*o + c - 20 - 0. Find j such that -2/5*j**2 - 1/5*j + 0*j**3 + 0 + 1/5*j**o + 2/5*j**4 = 0.
-1, 0, 1
Let i be 22/4 + (-1)/(-2). Suppose -i*y = -y - 10. Factor y*h**4 - 3*h + 9*h - 2*h - 2 - 4*h**3.
2*(h - 1)**3*(h + 1)
Factor 9*d - 15*d**3 - 287*d**4 + 297*d**4 - 29*d + 5*d**5 - 40*d**2.
5*d*(d - 2)*(d + 1)**2*(d + 2)
Let d be (8/(-30))/((-9)/((-54)/(-4))). What is s in 0*s + 4/5*s**3 + 0 + 2/5*s**4 + d*s**2 = 0?
-1, 0
Let v be ((-18)/(-45))/((-6)/(-10)). Let g(i) be the first derivative of 1 + v*i**3 - 2*i + 0*i**2. Suppose g(j) = 0. Calculate j.
-1, 1
Factor -2*r - 2/3*r**4 + 10/3*r**2 + 0 - 2/3*r**3.
-2*r*(r - 1)**2*(r + 3)/3
Suppose 0 = v - 4*n - 14, 4*n = -2*v + n - 5. Suppose -10*u - 2*u**v + 0 + 0 + 14*u = 0. Calculate u.
0, 2
Let u(b) = -7 + 11 - 1 + 10 + b. Let l be u(-11). Suppose 0 - 2*j**4 - 1/2*j**5 - 1/2*j - 2*j**l - 3*j**3 = 0. What is j?
-1, 0
Suppose 3*s = -2*r + 6 + 7, 2*s = 3*r. Let f(h) be the first derivative of 0*h**2 + 0*h + 0*h**5 + 1/27*h**6 + 2 + 0*h**s + 0*h**4. Find j, given that f(j) = 0.
0
Solve -2/5 - 10*b**2 - 4*b = 0 for b.
-1/5
Suppose -14*z + 10 = -9*z. Let d be 8/5 + (-4)/(-10). Solve -m + 0*m**2 - m**z + d*m = 0 for m.
0, 1
Suppose -z = -5*c + 2 - 172, 4*z + 79 = -3*c. Let i = -30 - c. Solve -1/2*n**i + 0 + 0*n - 1/2*n**2 = 0.
-1, 0
Let l(t) = t**3 + 6*t**2 - 8*t - 1. Let q be l(-7). Let k(x) = -x + 1. Let s(d) = -2*d**3 - 8*d**2 - 4*d - 10. Let h(c) = q*k(c) + s(c). Solve h(o) = 0.
-2, -1
Let g(j) = -9*j**2 - 45*j + 30. Let a(v) be the third derivative of -v**5/30 - 3*v**4/8 + v**3 + 4*v**2. Let f(w) = -21*a(w) + 4*g(w). Let f(z) = 0. What is z?
-2, 1/2
Let n(i) = -i**2 - 2*i - 6. Let g(p) = p - 1. Suppose 5*v = 2*v - 45. Let c be ((-40)/v)/((-2)/(-3)). Let t(s) = c*g(s) - 2*n(s). Suppose t(o) = 0. What is o?
-2
Let r be (-3)/6 + 20/8. Let l be (-7)/14 - (-11)/r. What is g in -8/11*g + 6/11*g**3 + 0 + 8/11*g**4 + 2/11*g**l - 8/11*g**2 = 0?
-2, -1, 0, 1
Let d(g) be the first derivative of -20*g**3/3 + 35*g**2/2 + 10*g + 22. Find v, given that d(v) = 0.
-1/4, 2
Let l(z) be the second derivative of -z**7/24 + z**6/24 + 9*z**5/80 - 5*z**4/48 - z**3/12 + z. Let l(p) = 0. Calculate p.
-1, -2/7, 0, 1
Let s(r) = -7*r**2 + 13*r - 3. Let k(g) be the first derivative of -10*g**3/3 + 19*g**2/2 - 5*g - 1. Let v(h) = 5*k(h) - 7*s(h). Factor v(c).
-(c - 2)**2
Suppose 0 = 2*f - 4 - 0. Let l be f*(-3)/18*-12. Factor -u**4 + 4*u**2 + 4*u**2 - u**l - 6*u**2.
-2*u**2*(u - 1)*(u + 1)
Let c(n) be the third derivative of 0*n**3 - 3/200*n**6 + 3/350*n**7 + 0 + 0*n + 0*n**4 - 1/560*n**8 + 1/100*n**5 + n**2. Let c(w) = 0. Calculate w.
0, 1
Find m such that 2*m - 14*m**2 + 0*m + 13*m**2 = 0.
0, 2
Let x(k) = k**2 + 1. Let g(j) = 6*j**2 - 2*j + 6. Suppose 4*t + 1 = -7. Let v(s) = t*g(s) + 10*x(s). Solve v(l) = 0.
1
Let y(w) = 10*w**5 + 10*w**4 + 20*w**3 + 5*w**2 + 5*w. Let k(u) = -11*u**5 - 9*u**4 - 21*u**3 - 5*u**2 - 6*u. Let o(a) = 5*k(a) + 6*y(a). Solve o(x) = 0.
-1, 0
Let m(o) be the second derivative of 0*o**5 - 1/6*o**4 + 0*o**2 - o + 1/2520*o**7 + 0 + 0*o**6 + 0*o**3. Let s(l) be the third derivative of m(l). Factor s(b).
b**2
Let h be 45/12 - 1/(-4). Factor 13*z**4 - 7*z**4 - 2*z**3 - 4*z**h.
2*z**3*(z - 1)
Let b(f) be the third derivative of f**8/1344 - f**7/840 - f**6/480 + f**5/240 + 5*f**2. Factor b(z).
z**2*(z - 1)**2*(z + 1)/4
Suppose l = 2 - 0. Suppose -l*n = 2*n - 24. Factor r - r**3 - n*r - r**2 + 5*r.
-r**2*(r + 1)
Factor 17/2*d + 1/4*d**2 + 289/4.
(d + 17)**2/4
Let x(p) be the second derivative of p**7/147 - 2*p**6/105 - p**5/35 + 2*p**4/21 + p**3/21 - 2*p**2/7 - 8*p. Let x(i) = 0. Calculate i.
-1, 1, 2
Let c = 22/69 + 26/207. Suppose 22/9*l + 2*l**2 + c = 0. What is l?
-1, -2/9
Let m(x) be the second derivative of x**7/21 - 2*x**6/5 + 3*x**5/5 + 10*x**4/3 - 13*x**3 + 18*x**2 - 12*x. Solve m(t) = 0.
-2, 1, 3
Let v = 5 - -1. Let w = -4 + v. Solve -1/2*g**3 + 5/2*g**w + 2 - 4*g = 0 for g.
1, 2
Let c(h) = -4*h**2 - h + 2. Let s(b) = 9*b**2 + 2*b - 4. Let m(r) = 7*c(r) + 3*s(r). Find n such that m(n) = 0.
-2, 1
Let r(l) be the second derivative of l**5/80 + l**4/24 + l**3/24 + 7*l. Factor r(q).
q*(q + 1)**2/4
Determine s so that -2*s**4 - 3*s**4 - 10*s**3 + s**4 + 19*s**4 = 0.
0, 2/3
Let h be 8/6 - (-154)/42. Solve 0 + 0*x**2 - 2/3*x**3 + 2/3*x**h + 0*x**4 + 0*x = 0.
-1, 0, 1
Let g(c) be the second derivative of -c**5/50 - c**4/20 + c**2/10 + 11*c. Let g(u) = 0. What is u?
-1, 1/2
Let o(u) be the third derivative of u**6/30 - u**5/15 - 5*u**2. Factor o(v).
4*v**2*(v - 1)
Let -1/3*u**2 + 1/3 + 0*u = 0. Calculate u.
-1, 1
Suppose -6 + 0 = 2*x. Let f be (8/(-30))/(2/x). Factor 0 + 2/5*r + 4/5*r**2 + f*r**3.
2*r*(r + 1)**2/5
Let x = 8/13 - 27/65. Factor 1/5*c**2 + 0*c + 0 + x*c**3.
c**2*(c