e of 2*z**6/21 - 9*z**5/35 + z**4/14 + 8*z**3/21 - 3*z**2/7 + z/7 - 3. Factor g(h).
(h - 1)**3*(h + 1)*(4*h - 1)/7
Let r be 4767/294 - 4/(-14). Find m, given that -3*m + 27/2*m**2 + 0 + r*m**4 - 45/2*m**3 - 9/2*m**5 = 0.
0, 2/3, 1
Let h(f) be the second derivative of 1/21*f**7 - 1/15*f**6 + 7*f + 0 + 0*f**3 - 1/5*f**5 + 0*f**4 + 0*f**2. Factor h(q).
2*q**3*(q - 2)*(q + 1)
Let l be (-2)/(-6*(-1)/((-12)/20)). Let w = -10 - -51/5. Factor -l*n**2 + 1/5*n**4 + 0 + w*n**3 - 1/5*n.
n*(n - 1)*(n + 1)**2/5
Factor -4*w**2 + 5*w**2 + 0*w**2 - w**3 + 0*w**2.
-w**2*(w - 1)
Suppose -4*p + 3*j = -2*j - 20, -4 = -5*p + j. Factor p*s - 3*s**4 - 1/2*s**3 + 0 - 4*s**5 + 0*s**2.
-s**3*(2*s + 1)*(4*s + 1)/2
Let z = -10 - -14. Determine l, given that 5 - 5 - 2*l**z - 2*l**2 + 4*l**2 = 0.
-1, 0, 1
Suppose -8 = z - 3*z. Factor -2*c - 12*c**2 + 10*c**z - c + 3*c**3 + 2*c**4.
3*c*(c - 1)*(c + 1)*(4*c + 1)
Let j(s) be the first derivative of s**7/252 + s**6/270 - s**5/36 - s**4/18 - s**3 + 2. Let m(i) be the third derivative of j(i). Factor m(k).
2*(k - 1)*(k + 1)*(5*k + 2)/3
Let r(i) be the first derivative of -i**6/135 - 2*i**5/45 - 2*i**4/27 + 4*i - 1. Let a(d) be the first derivative of r(d). Factor a(w).
-2*w**2*(w + 2)**2/9
Let r = 7 - -6. Suppose -r = -3*j - 4. Let -26/3*t**j + 10*t**2 - 14/3*t + 8/3*t**4 + 2/3 = 0. What is t?
1/4, 1
Let l(w) = -w**3 - 4*w**2 + 2*w + 5. Let h be l(-4). Let r = h + 5. Find m, given that -11*m**3 + 14*m**4 + 19*m**3 - 4 + 2*m + 30*m**3 + 30*m**r = 0.
-1, 2/7
Let x be (32/15 - 2)*5/2. Factor 4/3*n - x*n**2 - 4/3.
-(n - 2)**2/3
Let x be ((-6)/(-4) - 3)*4. Let a = x - -6. Suppose -1/2*j**3 - 1/2*j**2 + a*j + 1/2*j**4 + 1/2*j**5 + 0 = 0. Calculate j.
-1, 0, 1
Suppose -25 + 3 = -11*s. Factor 2/9*n - 2/9*n**4 - 2/9*n**3 + 0 + 2/9*n**s.
-2*n*(n - 1)*(n + 1)**2/9
Let h be (1/15)/(30/50). Let j(q) be the first derivative of 1/3*q - 1/12*q**4 + 1/6*q**2 - h*q**3 + 2. Suppose j(u) = 0. Calculate u.
-1, 1
Let g(d) be the second derivative of d**5/100 - 18*d. Solve g(i) = 0 for i.
0
Let n(r) be the third derivative of 2*r**7/21 - 3*r**6/5 - 8*r**5/15 + 18*r**2. Factor n(l).
4*l**2*(l - 4)*(5*l + 2)
Let w(z) be the third derivative of -z**6/156 - z**5/195 + z**4/52 - 3*z**2 + 9*z. Solve w(s) = 0 for s.
-1, 0, 3/5
Let -11/6*y + 1/2*y**2 + 1 + 1/2*y**3 - 1/6*y**4 = 0. What is y?
-2, 1, 3
Let r(u) = u**4 - 7*u**3 + 2*u**2 + 4*u + 3. Let n(v) = -v**4 + 13*v**3 - 4*v**2 - 8*v - 5. Let q(i) = -3*n(i) - 5*r(i). Factor q(d).
-2*d*(d - 1)*(d + 1)*(d + 2)
Let h(k) be the third derivative of -k**5/240 - k**4/32 - k**3/12 - 5*k**2. Factor h(s).
-(s + 1)*(s + 2)/4
Let p(z) = -4*z**2 - 4*z. Let y(r) = r**2 - 1. Let u(b) = p(b) + 2*y(b). Let u(q) = 0. What is q?
-1
Let o = 22/3 - 236/33. Solve o*f**3 + 2/11*f - 4/11*f**2 + 0 = 0 for f.
0, 1
Let p(l) be the second derivative of l**4/12 + l**3/3 + l**2 + 2*l. Let v be p(-3). Factor -3 - 5 + v*f - 61*f - 98*f**2.
-2*(7*f + 2)**2
Let x = -93 + 280/3. Let s(u) be the second derivative of 1/4*u**4 + 0*u**2 + 0 - u - x*u**3. Suppose s(h) = 0. What is h?
0, 2/3
Suppose 142*p - 137*p - 15 = 0. Factor 2/3 + 2/3*l**5 + 2/3*l**4 - 4/3*l**2 - 4/3*l**p + 2/3*l.
2*(l - 1)**2*(l + 1)**3/3
Let m = -117 - -117. Let p(d) be the first derivative of 1 - 1/12*d**6 + m*d**2 + 0*d**4 + 0*d**3 + 0*d + 1/10*d**5. Find b, given that p(b) = 0.
0, 1
Let j be 10/90*(0 + 1). Let y(w) be the first derivative of -j*w**3 + 0*w**2 + 1/15*w**5 + 0*w - 4 + 0*w**4. Find a, given that y(a) = 0.
-1, 0, 1
Let b(h) = -h**2 - 8*h - 9. Let c be b(-6). Factor 3/5*v**2 + 0 + 1/5*v**4 - 3/5*v**c - 1/5*v.
v*(v - 1)**3/5
Let f(i) be the first derivative of -3*i**4/20 + 3*i**3/5 - 3*i**2/5 - 2. Factor f(h).
-3*h*(h - 2)*(h - 1)/5
Let a be ((-12)/(-16))/((-1)/(-20)). Suppose c + 9*c**2 + c**5 - a*c**3 + 11*c**4 - 4*c**5 - 3*c + 0*c = 0. Calculate c.
0, 2/3, 1
Let m(d) be the third derivative of 0 + 0*d + 0*d**4 + 4*d**2 - 1/24*d**3 + 1/240*d**5. Find l, given that m(l) = 0.
-1, 1
Factor -2*x**2 - 6*x - 10/3 + 2/3*x**3.
2*(x - 5)*(x + 1)**2/3
Suppose -81*b - 2*b**2 + 81*b + 2 = 0. What is b?
-1, 1
Let m be (24/10)/((-9)/(-120)). Let a = -24 + 27. Determine w so that 0*w + 17*w**4 - m*w**a - 3*w**4 + 22*w**2 - 4*w = 0.
0, 2/7, 1
Factor -7*h - 17*h**3 + 8*h**2 + h - 6*h + 21*h**3.
4*h*(h - 1)*(h + 3)
Let k be 46/161 - (0 - 36/70). Solve 0 + k*j**2 + 8/5*j = 0 for j.
-2, 0
Let v = 27 + -79/3. Let p be (-2)/(-7) - 36/(-21). Suppose v*x**3 - 2/3 + 2/3*x**p - 2/3*x = 0. What is x?
-1, 1
Let b(j) be the third derivative of 0 - 1/60*j**5 - 1/24*j**6 + 2/15*j**4 - 2/15*j**3 + 0*j - j**2. What is l in b(l) = 0?
-1, 2/5
Let j(n) be the first derivative of n**7/140 - n**6/24 + n**5/10 - n**4/8 + 8*n**3/3 - 2. Let o(b) be the third derivative of j(b). Factor o(v).
3*(v - 1)**2*(2*v - 1)
What is x in 6*x - 5*x + 2*x**2 - 14*x - x**2 = 0?
0, 13
Suppose 2*s = f + 1, 3*f - 16 - 14 = -5*s. Let k(o) be the second derivative of 2*o**2 + 1/6*o**4 + o**3 + 0 + s*o. Factor k(t).
2*(t + 1)*(t + 2)
Let c(t) = 5*t**3 + t**2. Let y(u) = u**3. Let l(x) = c(x) - 4*y(x). Let l(a) = 0. What is a?
-1, 0
Factor 4*a**2 + 12*a + 109 + 52*a + 147.
4*(a + 8)**2
Let l(t) = -t**2 + 3*t - 3. Let n be (-4)/(-6) - 8/(-6). Let v(b) = -1. Let p(q) = n*l(q) - 2*v(q). What is m in p(m) = 0?
1, 2
Let p(a) be the first derivative of 1/9*a**3 + 3 + 0*a**2 + 0*a. Find l such that p(l) = 0.
0
Let i be 0 + 38/90 + (-6)/27. Factor 0 - 1/5*w - i*w**2.
-w*(w + 1)/5
Let w(r) be the second derivative of -r**6/360 + r**5/60 - r**4/24 + r**3/3 - 2*r. Let a(o) be the second derivative of w(o). Suppose a(q) = 0. What is q?
1
Let w(s) = -3*s**4 + 4*s**3 - s**2 + 2*s. Let z(d) = -15*d**4 + 21*d**3 - 6*d**2 + 11*d. Let b(x) = 22*w(x) - 4*z(x). Determine t, given that b(t) = 0.
-1/3, 0, 1
Let j(g) be the second derivative of -11/4*g**4 - 3/2*g**2 - 3/4*g**5 - 7/2*g**3 - g + 0. Let j(k) = 0. Calculate k.
-1, -1/5
Let l(g) be the second derivative of -14*g**6/15 + 4*g**5/5 - 58*g. Solve l(n) = 0 for n.
0, 4/7
Let x be 140/(-36) + 3 + 1. Let f(g) be the second derivative of 1/90*g**5 + x*g**2 + 0 - g + 1/18*g**4 + 1/9*g**3. Factor f(i).
2*(i + 1)**3/9
Let q(s) be the third derivative of 0*s - 4/15*s**5 + 0 + 0*s**3 - 1/42*s**7 - 1/6*s**4 - 17/120*s**6 - 2*s**2. Find g such that q(g) = 0.
-2, -1, -2/5, 0
Let b(i) be the third derivative of i**5/240 - i**4/32 + i**3/12 + 30*i**2. Let b(l) = 0. Calculate l.
1, 2
Let o(f) be the second derivative of -1/39*f**6 + 0 - 2/13*f**2 - 1/13*f**3 + 3/130*f**5 + 4*f + 7/78*f**4. What is l in o(l) = 0?
-1, -2/5, 1
Let z(d) be the third derivative of 1/30*d**6 + 0*d**4 + 0*d**3 + 3*d**2 + 1/105*d**7 + 1/30*d**5 + 0*d + 0. Solve z(t) = 0 for t.
-1, 0
Let b(w) be the first derivative of 2/3*w**2 - 2 + 2/3*w**3 + 1/6*w**4 + 0*w. Factor b(s).
2*s*(s + 1)*(s + 2)/3
Let d = -2 - -1. Let c be (-1 - d)*1/3. Let -1/4*a + 1/4*a**2 + c = 0. What is a?
0, 1
Let a(s) = -5*s**2 + 3*s + 6. Let k(t) = -t**2. Let m(j) = a(j) - 2*k(j). Factor m(x).
-3*(x - 2)*(x + 1)
Let m be ((-3)/5)/(330/20). Let s = m + 61/165. Factor -1/3*d**2 - 1/3*d**3 + 1/3*d**4 + s*d + 0.
d*(d - 1)**2*(d + 1)/3
Factor -8*n**4 - 5*n**4 + 5*n**3 - 2*n**4 + 5*n**4 + 5*n**5.
5*n**3*(n - 1)**2
Let c(b) be the second derivative of 0*b**3 + 6*b - 1/147*b**7 + 0*b**2 + 0 - 1/35*b**6 - 3/70*b**5 - 1/42*b**4. Let c(g) = 0. Calculate g.
-1, 0
Let g(s) be the third derivative of s**5/60 - s**4/12 + s**2. Determine n, given that g(n) = 0.
0, 2
Find c such that 8*c + 2*c**5 - 3*c**5 - 28*c**2 - 20*c**4 + 5*c**5 + 6*c**3 + 30*c**3 = 0.
0, 1, 2
Let y be 2/(-14) - (-4)/28. Let h(i) be the third derivative of -1/15*i**5 - i**2 + y*i + 1/6*i**3 + 0 - 1/8*i**4. Factor h(p).
-(p + 1)*(4*p - 1)
Let a(o) be the first derivative of 0*o - 3 + 1/48*o**4 - o**2 + 1/120*o**5 + 0*o**3. Let d(c) be the second derivative of a(c). Let d(q) = 0. Calculate q.
-1, 0
Factor 0*g - 89 + 0*g + g**2 + 85.
(g - 2)*(g + 2)
Let s(b) be the third derivative of -b**5/100 - b**4/60 + b**3/30 - 4*b**2. Let s(t) = 0. Calculate t.
-1, 1/3
Let c(l) = -3*l**4 - 6*l**3 + 3*l. Let x(k) = -k**3 - k**2. Let j(r) = -c(r) + 3*x(r). What is b in j(b) = 0?
-1, 0, 1
Let d(y) = -4*y**3 + y**2 - y - 3. Let k(o) = 5*o**3 - o**2 + 2*o + 4. Let t(n) = -4*d(n) - 3*k(n). Factor t(v).
v*(v - 2)*(v 