**3 - 1/4*m**4 + 0*m = 0.
-1/3, 0
Let w(f) = 6*f**2 - f + 5. Let x(a) = -5*a**2 + a - 4. Let n(j) = -j**2 + 8*j - 5. Let b be n(8). Let g(h) = b*x(h) - 4*w(h). Suppose g(d) = 0. Calculate d.
0, 1
Let q(x) = -x**5 - 6*x**4 - 5*x**3 + 2*x**2 + 3*x + 4. Let w(h) = 2*h**5 + 11*h**4 + 9*h**3 - 4*h**2 - 6*h - 7. Let f(d) = -10*q(d) - 6*w(d). Factor f(i).
-2*(i - 1)*(i + 1)**4
Suppose 5*p - 22 = 8. Let b be p/18*(0 + 6). Factor 2/7*c**b + 2/7 + 4/7*c.
2*(c + 1)**2/7
Let w(c) = c**3 + 3*c**2 - 5*c - 6. Let g be w(-5). Let z = g + 219/7. Factor 0 - z*b - 2/7*b**2.
-2*b*(b + 1)/7
Let d be (-18)/4 + 2/(-4). Let c(n) = -n**2 - 4*n + 7. Let h be c(d). Factor 0*x**5 + 2*x**5 + h*x**2 - 2*x**3 - 4*x**4 + 2*x**4.
2*x**2*(x - 1)**2*(x + 1)
Let y = 96 - 96. Factor 1/2*t**5 - t**4 - 1/2*t + t**2 + y + 0*t**3.
t*(t - 1)**3*(t + 1)/2
Let v = 689/798 - 4/133. Let n(p) be the second derivative of 0*p**2 - 2*p + 2/3*p**3 - 1/5*p**5 + v*p**4 - 1/3*p**6 + 0. Suppose n(a) = 0. Calculate a.
-1, -2/5, 0, 1
Suppose 6*v - 3*v = 9. Suppose 0 = -3*o + 6, 6*s - 7 = v*s - 2*o. Factor 4*f + 3*f**2 - s - f**2 + 3.
2*(f + 1)**2
Suppose t + 15 = 15. Factor -3/4*n**2 + 1/2*n + t.
-n*(3*n - 2)/4
Suppose -3*b + 20 = 2*b. Factor -1/2*a**5 + 0*a - 1/2*a**2 + 0 + 1/2*a**b + 1/2*a**3.
-a**2*(a - 1)**2*(a + 1)/2
Let s be (15/12)/1*-4. Let d = 10 + s. Factor 1/4*l**3 + 0 + 0*l**2 - 1/4*l**d + 0*l**4 + 0*l.
-l**3*(l - 1)*(l + 1)/4
Let i(f) = 20*f**4 + 10*f**3 - 25*f**2 - 5*f. Let j(m) = 21*m**4 + 10*m**3 - 25*m**2 - 6*m. Let z(h) = -4*i(h) + 5*j(h). Solve z(x) = 0 for x.
-1, -2/5, 0, 1
Let z be (-72)/(-33) - (-6)/(-33). Solve 7*p + 12 + 16*p**z - 4 - 27*p - 4*p**3 = 0 for p.
1, 2
Let s(i) be the first derivative of 2*i**6/3 + 4*i**5/5 - 3*i**4 - 20*i**3/3 - 4*i**2 + 14. Factor s(g).
4*g*(g - 2)*(g + 1)**3
Let h(q) = -q**3 - 9*q**2 - 2*q - 13. Let u be h(-9). Let b = 1 + 1. Find y such that -25/4*y**5 - u*y**4 + 0 + 5*y**b + 21/4*y**3 + y = 0.
-1, -2/5, 0, 1
Suppose 4*x**4 + 2*x**5 - 3*x**3 + 5*x**3 - 4*x**3 - 4*x**2 = 0. What is x?
-2, -1, 0, 1
Factor 0*m**3 + 0*m + 0 + 3/5*m**5 + 0*m**2 - 3/5*m**4.
3*m**4*(m - 1)/5
Find g, given that 1/5*g**2 + 3/5*g**4 - 3/5*g**3 + 0*g - 1/5*g**5 + 0 = 0.
0, 1
Suppose 3 = 4*q - 17. Factor 6*i**4 + 2*i**2 - 3*i**3 - q*i**3 + 2*i**4.
2*i**2*(2*i - 1)**2
Let u(z) be the second derivative of z**7/21 + 4*z**6/15 + z**5/2 + z**4/3 + 27*z. Factor u(f).
2*f**2*(f + 1)**2*(f + 2)
Let a(g) be the third derivative of 8*g**5/5 + g**4/3 - 2*g**3/3 - 5*g**2. Factor a(v).
4*(4*v + 1)*(6*v - 1)
Suppose 0 = -2*d - 38 + 44. Let f(c) be the first derivative of -2/35*c**5 - 1/7*c**2 - 3/14*c**4 - 2/7*c**d + 3 + 0*c. Determine q so that f(q) = 0.
-1, 0
Let z be 2/6 - 3/9. Factor -3/4*h**3 - 1/4*h + z - 3/4*h**2 - 1/4*h**4.
-h*(h + 1)**3/4
Let d(t) = -2*t**2 + t + 5. Let f(v) = v**2 - 2. Let m(y) = -6*d(y) - 15*f(y). Suppose m(a) = 0. What is a?
-2, 0
Let c(u) be the third derivative of 5*u**8/1176 + 2*u**7/735 + 11*u**2. Factor c(z).
2*z**4*(5*z + 2)/7
Let a be (3 - (2 - -3))*-1. Let o(w) be the first derivative of -3/2*w**4 + 3*w**a - 4 + 4*w - 2/3*w**3 - 2/5*w**5. Solve o(n) = 0 for n.
-2, -1, 1
Let l(f) be the third derivative of -f**6/216 + f**5/120 + f**4/36 - f**3/6 - 2*f**2. Let o(x) be the first derivative of l(x). Determine u so that o(u) = 0.
-2/5, 1
Let d be (24/10)/((-8)/40). Let n be (19/(-57))/(2/d). Factor 2*g + 4/3 + 2/3*g**n.
2*(g + 1)*(g + 2)/3
Suppose -3*a = 5*c - 13, 0 = 3*c + a - 5 - 2. Factor 1/6*m - 1/6*m**3 + 1/6 - 1/6*m**c.
-(m - 1)*(m + 1)**2/6
Let m(y) = -13*y**4 + 7*y**3 - 5*y**2 + 8*y + 3. Let p(a) = -7*a**4 + 4*a**3 - 3*a**2 + 4*a + 2. Let j(z) = -6*m(z) + 11*p(z). Let j(v) = 0. Calculate v.
-2, 1
Let i be ((-68)/2618)/(2/(-14)). Factor -6/11*a + 0 + i*a**2.
2*a*(a - 3)/11
Let l(c) be the second derivative of -c**5/10 - c**4/3 - c**3/3 - 6*c. Factor l(x).
-2*x*(x + 1)**2
Let s(i) = -2*i**4 - 12*i**3 + 3*i**2 - 3*i + 3. Let u(d) = 3*d**4 + 13*d**3 - 2*d**2 + 2*d - 2. Let k(y) = 2*s(y) + 3*u(y). What is t in k(t) = 0?
-3, 0
Let c = 7 + -4. Factor -c + 0 + 5 - 7*k + 5*k**2 + 0*k.
(k - 1)*(5*k - 2)
Let n(w) be the first derivative of 0*w**2 - 4 + 0*w + w**3 - 3/4*w**4. Factor n(i).
-3*i**2*(i - 1)
Factor -180 - 24*s**3 + 14*s**3 - 650*s**2 - 117*s**3 - 645*s + 2*s**3.
-5*(s + 4)*(5*s + 3)**2
Let h(u) = 12*u**3 + 9*u**2 - 14*u - 7. Let y(s) = -s**2 + 1. Let v(c) = -h(c) + 5*y(c). Factor v(b).
-2*(b - 1)*(2*b + 3)*(3*b + 2)
Let n(v) be the first derivative of 0*v**2 + 2/3*v**3 - 1 - 2*v. Determine k, given that n(k) = 0.
-1, 1
Let p(v) be the first derivative of 1/2*v**4 - 4/3*v**3 - v**6 + 8/5*v**5 + 0*v**2 + 3 + 0*v. Factor p(z).
-2*z**2*(z - 1)**2*(3*z + 2)
Let w = -5 - -8. Suppose a - w = -1. Solve -1/4 - 1/4*r**a - 1/2*r = 0 for r.
-1
Let l(x) be the second derivative of -x**7/14 + 2*x**6/5 - 3*x**5/4 + x**4/2 - 2*x. Factor l(b).
-3*b**2*(b - 2)*(b - 1)**2
Let a(f) be the second derivative of -f**7/63 + 39*f. Solve a(n) = 0 for n.
0
Suppose -10 = r + 3*j, 2*j + 2*j + 25 = r. Let n(i) = -i**2 + 6*i - 2. Let x be n(r). Factor 4/3*o**5 - 1/3*o + 1/3 + 8/3*o**4 + 1/3*o**x - 5/3*o**2.
(o + 1)**3*(2*o - 1)**2/3
Find v, given that 10/17*v + 8/17*v**4 - 10/17*v**3 - 6/17*v**2 - 2/17 = 0.
-1, 1/4, 1
Suppose 2*g + l = 56, 0 = g + l - 12 - 17. Factor g*h - 2*h**3 + 2 - 2 - 19*h.
-2*h*(h - 2)*(h + 2)
Suppose 7*p - 2*p = 20. Let -2*m + 3*m**p - 4*m**2 + 2*m**5 - 3*m**4 + 4*m**4 = 0. Calculate m.
-1, 0, 1
Let v(i) be the second derivative of 1/20*i**5 - 2*i + 0*i**3 + 0 + 0*i**4 + 0*i**2. Determine m, given that v(m) = 0.
0
Let c(d) be the third derivative of -d**7/630 + d**6/360 + d**5/90 + 8*d**2. Suppose c(j) = 0. Calculate j.
-1, 0, 2
Suppose -1 = l - 4. Suppose -4*i - 3*p + 13 = -7, -4*i + l*p - 4 = 0. Factor 0 + 1/2*d**i - 1/2*d.
d*(d - 1)/2
Let w(u) = -u + 2. Let d be w(2). Suppose d = -7*t + 3*t. Factor -9*f + 2*f**2 + 2*f**2 + t*f - f**2.
3*f*(f - 3)
Suppose -3*r + 3*v - 4*v = -10, 2*r = -3*v - 5. Suppose r - 13 = 2*s. Let m(g) = -7*g**3 - g**2. Let l(k) = -k**3 - k**2. Let i(t) = s*l(t) + m(t). Factor i(y).
-3*y**2*(y - 1)
Factor -2*w - 6/5*w**2 + 4/5.
-2*(w + 2)*(3*w - 1)/5
Factor 2*g**4 - 1/2*g**5 - g**2 + 5/2*g - 2*g**3 - 1.
-(g - 2)*(g - 1)**3*(g + 1)/2
Let s be (-4 - -1)/((-21)/14). Factor 3*v**3 + 15*v - 10*v**2 + 2*v**2 - 6 - s*v**2 - 2*v**2.
3*(v - 2)*(v - 1)**2
Let c be 0 - (2 + ((-120)/(-27))/(-2)). Determine d so that -4/9*d - c*d**4 + 0*d**2 + 4/9*d**3 + 2/9 = 0.
-1, 1
Let l(g) be the third derivative of -g**5/270 + g**4/18 - g**3/3 - 2*g**2. Factor l(f).
-2*(f - 3)**2/9
Let s = 14 + -10. Let n be (-6 - -3)*(-2)/3. Factor -s - 2*x**2 + x**n + 2*x + 3*x**2.
2*(x - 1)*(x + 2)
Let r = 14/15 + -3/5. Let l(u) be the second derivative of r*u**3 + 0 + 1/12*u**4 + 1/2*u**2 + 3*u. Solve l(f) = 0 for f.
-1
Suppose -b = -5*b + 24. Let t(y) be the third derivative of 1/120*y**b + y**2 + 0*y**3 + 0*y**5 + 0 + 0*y - 1/24*y**4. Factor t(i).
i*(i - 1)*(i + 1)
Let d = -12 + 13. Let i be d/2*2/4. Solve 0*u + i*u**2 - 1/4 = 0 for u.
-1, 1
Let b(s) = s**3 + 9*s**2 + 9*s + 10. Let v be b(-8). Determine u so that -2*u**2 + 0*u**3 - u**3 + 4*u**v = 0.
0, 2
Let d(c) be the first derivative of -1/20*c**5 - 1 - c + 1/8*c**4 - 1/2*c**2 + 1/4*c**3. Determine i, given that d(i) = 0.
-1, 2
Let a be 3 - ((-1)/((-3)/(-6)))/1. Factor -2/9*h**3 - 2/9*h**4 + 0 + 0*h + 2/9*h**2 + 2/9*h**a.
2*h**2*(h - 1)**2*(h + 1)/9
Let b be (-14)/21 + 52/3. Let h = b - 16. Factor 0*p + h*p**5 + 0 - 2/3*p**3 + 0*p**2 + 0*p**4.
2*p**3*(p - 1)*(p + 1)/3
Find c, given that -81/7 - 1/7*c**3 + 17/7*c**2 - 9*c = 0.
-1, 9
Let r(h) = 8*h**3 + 2*h**2 - 5*h - 2. Let l(s) = -23*s**3 - 7*s**2 + 15*s + 7. Let k(v) = -3*l(v) - 8*r(v). Solve k(q) = 0.
-1, 1
Let x = 1121/770 + -3/110. Solve -10/7*b + 18/7*b**2 - 4/7 - 2*b**4 + x*b**3 = 0 for b.
-1, -2/7, 1
Suppose -37*d**2 + 76*d**2 - 140*d + 980 - 34*d**2 = 0. What is d?
14
Let s(j) be the first derivative of -4*j**3/33 - 3*j**2/11 + 4*j/11 + 31. Determine x so that s(x) = 0.
-2, 1/2
Let h(n) be the third derivative of n**6/80 - 3*n**5/40 - n**4/16 + 3*n**3/4 + 15*n**2. Solve h(q) = 0 for q.
-1, 1, 3
Suppose 5*v - 75 = 8*v. Let k = 51/2 + v. Factor k*p + 0 - 3/2*p**2 + 3/2*p**3 - 1/2*p**4.
-p*(p - 1)**3/2
Let w(r) be the first derivative of r**3/9 - r