r 5*a**2 - 2*a**4 - 3*a**3 - 2*a**2 - a**4 + x*a.
-3*a*(a - 1)*(a + 1)**2
Determine f, given that 2*f + 1/2*f**2 - 2*f**3 - 1/2 = 0.
-1, 1/4, 1
Let a be 0 + 4 - 10/3. Factor a*g**3 - 1/3*g**4 - 1/3*g**2 + 0 + 0*g.
-g**2*(g - 1)**2/3
Suppose 2 = -5*w + 7. Let p be -1*w*(-6 - -4). Factor 2*v**p + v + 8*v**3 - 7*v**3 + 0*v.
v*(v + 1)**2
Let v**2 + v**5 + 3*v**5 - 4*v + 7*v**2 - 8*v**4 = 0. Calculate v.
-1, 0, 1
Let v = 15 - 13. Determine p so that -43 - 4*p**3 + 4*p + 43 + 2*p**v - 2*p**4 = 0.
-2, -1, 0, 1
Let w(t) be the second derivative of 5*t - 1/120*t**5 - 1/12*t**2 + 1/72*t**4 + 0 + 1/36*t**3. Factor w(k).
-(k - 1)**2*(k + 1)/6
Let n = -1/5 + 2/5. Solve -n*t + 0 - 1/5*t**2 = 0.
-1, 0
Let r be (6/(-1))/(1 + 22/(-6)). Let w(l) be the first derivative of r*l**4 + 3/5*l**5 + 3/2*l**2 + 0*l + 3*l**3 + 4. Let w(i) = 0. Calculate i.
-1, 0
Factor -4 - 1 + 0*l**2 - 3*l**4 + 10*l**2 - 2*l**4.
-5*(l - 1)**2*(l + 1)**2
Suppose 0 = -0*q - 3*q + 24. Factor p**5 + p**4 - p**2 + 8 - p**3 - q.
p**2*(p - 1)*(p + 1)**2
Suppose -2*v + 2*y = -2*y + 6, 3 = 3*y. Let i be (1 - v)*1/7. Suppose i*q**2 - 2/7*q**3 - 2/7 + 2/7*q = 0. Calculate q.
-1, 1
Let k be ((-6)/9)/((-6)/27). Factor -k - 4*g**2 - 33 + 5*g + 27*g - 28.
-4*(g - 4)**2
Let a(l) be the second derivative of 4*l - 1/10*l**6 - 1/2*l**3 + 0*l**2 + 0 - 9/20*l**5 - 3/4*l**4. Factor a(d).
-3*d*(d + 1)**3
Let k be (-35)/12 + 12/4. Let f(r) be the second derivative of 2*r**2 + r + k*r**4 + 0 + 2/3*r**3. Factor f(q).
(q + 2)**2
Let j be 1 + (1/1 - 102). Let f be -3 - (j/16 + 3). Factor 0*q + f*q**5 + 0 + 1/2*q**4 - 1/4*q**3 - 1/2*q**2.
q**2*(q - 1)*(q + 1)*(q + 2)/4
Let y = 8 + -6. Factor 3*r - 7*r**y + r**3 - 3*r**4 + 8*r**3 - 2*r**2.
-3*r*(r - 1)**3
Let g = 17/42 + 2/21. Let r(q) = -q - 9. Let z be r(-9). Factor 1/2*k**2 + z - 1/2*k**4 - g*k**3 + 1/2*k.
-k*(k - 1)*(k + 1)**2/2
Let y(a) be the third derivative of -a**8/1008 - a**7/315 + a**6/120 + 2*a**5/45 + a**4/18 + 14*a**2. Find o, given that y(o) = 0.
-2, -1, 0, 2
Let t(z) = -2*z + 39. Let i be t(18). Factor -4/5*l + 2/5*l**i - 2/5*l**2 + 0.
2*l*(l - 2)*(l + 1)/5
Let f(j) be the second derivative of 0 + 0*j**2 + 1/30*j**4 - 1/15*j**3 + j. Find y such that f(y) = 0.
0, 1
Let i(o) = o**2 - o. Suppose -m = -4*f + m - 10, -2*f = 3*m - 7. Let x be i(f). Factor 0 - v + 2*v**x + 0 - v**3.
-v*(v - 1)**2
Let t(a) = -5*a**5 + 5*a**4 + 2*a**3 - 2*a**2 + 3. Let k(p) = -p**5 + p**4 + 1. Let j be (-2)/2*3/(-3). Let l(c) = j*t(c) - 3*k(c). Factor l(y).
-2*y**2*(y - 1)**2*(y + 1)
Let w(j) be the first derivative of 2*j**3/9 - 2*j/3 - 3. Solve w(x) = 0.
-1, 1
Let n be (-1553)/30 - (-6)/(-15). Let l = -52 - n. Solve -1/6*q**3 + 0*q**2 + l*q + 0 = 0 for q.
-1, 0, 1
Let k = -21 + 11. Let i be k/(-4) - 21/(-14). Factor -1/2*h**5 + h**2 - h**3 - 3/2*h**i + 3/2*h + 1/2.
-(h - 1)*(h + 1)**4/2
Let i = 1 + -1. Determine j, given that 4/7*j**4 - 2/7*j + 6/7*j**3 + 0*j**2 + i = 0.
-1, 0, 1/2
Let h(t) be the first derivative of -t**3 + 4 + 3/2*t**2 + 1/4*t**4 - t. Factor h(w).
(w - 1)**3
Let f(k) = -k**2 - k. Let j(y) = -3*y**3 - 12*y**2 - 9*y. Let z(b) = b**2 + 4*b + 4. Let a be z(-3). Let d(m) = a*j(m) - 6*f(m). Determine t so that d(t) = 0.
-1, 0
Let h(d) be the second derivative of -d**7/126 + d**5/30 - d**3/18 - 2*d. Factor h(u).
-u*(u - 1)**2*(u + 1)**2/3
Let t be ((-4)/(-10))/((-2)/(-10)). Suppose -s + a = t*s - 2, 5*s = -2*a + 18. Let -6*y + 2*y - 1 + 3*y**2 - 6*y**s = 0. Calculate y.
-1, -1/3
Factor -24/5*w + 18/5 + 13/10*w**2 - 1/10*w**3.
-(w - 6)**2*(w - 1)/10
Let t = 2 + 1. Suppose 0*z - 3*z = 0. Factor z*w + 0*w**t + 0*w**2 + 0 - 2/3*w**4.
-2*w**4/3
Let x = -76 - -155/2. Let 9/2 - 1/2*i**3 - 5/2*i**2 - x*i = 0. Calculate i.
-3, 1
Let m(q) be the third derivative of -3*q**2 - 1/96*q**4 + 0 + 1/120*q**5 + 0*q - 1/480*q**6 + 0*q**3. Factor m(u).
-u*(u - 1)**2/4
Let b(w) be the third derivative of 0*w**5 + 0*w**3 + 0*w**6 + 0 + 4*w**2 + 0*w**4 + 1/448*w**8 - 1/280*w**7 + 0*w. Determine p, given that b(p) = 0.
0, 1
Let k(x) be the first derivative of 8/25*x**5 - 6 - 8/15*x**3 + 1/5*x**2 + 0*x - 1/10*x**4. Let k(g) = 0. What is g?
-1, 0, 1/4, 1
Let p be (-6)/(-8)*24/6. Let r(l) be the third derivative of 0 + 2*l**2 + 1/30*l**5 + 0*l - 1/6*l**4 + 1/3*l**p. Factor r(q).
2*(q - 1)**2
Let w(p) be the third derivative of p**6/1080 - p**5/180 + p**4/72 - p**3/6 - 2*p**2. Let g(u) be the first derivative of w(u). Factor g(v).
(v - 1)**2/3
Let l(o) be the first derivative of -1/10*o**2 - 2 + 1/20*o**4 + 1/5*o - 1/15*o**3. Factor l(p).
(p - 1)**2*(p + 1)/5
Let s(w) = -3*w**2 - 4*w + 2*w**2 - 2*w. Let u be s(-5). Factor -4*j**u - 4*j**2 - 16*j**4 + 14*j**5 + 8*j**2 + 2*j**3.
2*j**2*(j - 1)**2*(5*j + 2)
Let o = 1 - 1. Suppose 4*d + 2 = -5*k - o*d, -4*k - 4*d = 4. Find g, given that -2*g - 2*g**2 - 6*g**2 + k*g**2 = 0.
-1/3, 0
Let l(c) be the second derivative of c**4/4 - c**3 - 9*c**2/2 - 7*c. What is n in l(n) = 0?
-1, 3
Let v(b) be the third derivative of -b**7/630 + b**6/360 + b**5/60 - b**4/72 - b**3/9 - 10*b**2. Find p such that v(p) = 0.
-1, 1, 2
Suppose 0 = s + 3*s. Let m(t) be the first derivative of 1/9*t**2 + 8/27*t**3 + s*t - 4. Suppose m(n) = 0. What is n?
-1/4, 0
Let t(k) be the second derivative of k**4/28 - k**3/14 - 20*k. Let t(y) = 0. What is y?
0, 1
Let z be (-25)/(-125) - (2 - 104/30). Find c, given that 0*c + c**4 - z*c**3 - 2/3*c**2 + 0 = 0.
-1/3, 0, 2
Let l(h) be the second derivative of -h**4/6 - 2*h**3/3 - 4*h. Suppose l(b) = 0. Calculate b.
-2, 0
Let f be -4*(1 + 0 + -2). Suppose 0 = -f*r + 1 + 15. Factor -2/5*d**3 + 2/5*d**r + 0*d + 2/5*d**5 + 0 - 2/5*d**2.
2*d**2*(d - 1)*(d + 1)**2/5
Factor w**3 - 6 + 6*w**2 + w**3 + 3*w - 3*w**3 - 2*w**3.
-3*(w - 2)*(w - 1)*(w + 1)
Solve -1/4*w**2 - 1/4 - 1/2*w = 0 for w.
-1
Let s(t) be the first derivative of 2*t**3/21 - 6*t**2/7 + 18*t/7 - 6. Factor s(x).
2*(x - 3)**2/7
Let g(n) be the first derivative of -4*n**3/9 - 4*n**2/3 + 38. Factor g(y).
-4*y*(y + 2)/3
Suppose -2*m = 2*m - 88. Let p(s) = -4*s**2 - 19*s + 7. Let r(y) = y**2 + 5*y - 2. Let v(i) = m*r(i) + 6*p(i). Solve v(q) = 0.
-1
Let h(z) be the first derivative of -1/3*z**2 + 0*z + 1/12*z**4 + 1/9*z**3 - 2. Factor h(a).
a*(a - 1)*(a + 2)/3
Let l be 7*4*6/28. Let 6*v**4 + 5*v**5 - l*v**2 + 0*v**2 - v**5 - 3*v - v**5 = 0. What is v?
-1, 0, 1
Let c(v) be the third derivative of v**7/840 - v**6/80 + v**5/20 + 7*v**4/24 - 3*v**2. Let r(o) be the second derivative of c(o). Factor r(d).
3*(d - 2)*(d - 1)
Determine l so that 2/5*l**5 + 0 + 2/5*l**2 + 6/5*l**4 + 6/5*l**3 + 0*l = 0.
-1, 0
Let o(k) be the second derivative of -9*k**5/140 + 3*k**4/14 + 2*k**3/21 - 4*k**2/7 + 14*k. Factor o(n).
-(n - 2)*(3*n - 2)*(3*n + 2)/7
Suppose 3*h + 2*s + 114 = 0, 0 = -h + 2*h + 2*s + 42. Let v be -1 + 3 - h/(-21). Factor 0 + 0*p + v*p**2 - 2/7*p**3.
-2*p**2*(p - 1)/7
Let l(z) be the third derivative of z**7/840 - z**5/60 + 8*z**2. Let l(x) = 0. What is x?
-2, 0, 2
Let y(h) be the first derivative of 1/3*h**3 - 4/3*h**2 + 4/3*h + 3. Solve y(j) = 0.
2/3, 2
Let r be -2 + 5 - 75/27. Let a(y) be the first derivative of -2/15*y**5 - 1/6*y**4 + 0*y**2 + 0*y + 1/9*y**6 + 2 + r*y**3. What is l in a(l) = 0?
-1, 0, 1
Factor 0*n**2 + 3*n**2 - 3 - 2*n**2 + 1 - n.
(n - 2)*(n + 1)
Factor -2/3*o**2 - 2/3 + 4/3*o.
-2*(o - 1)**2/3
Let x(n) = -5*n**2 + 10*n - 5. Let a(b) = b**2 - b. Let o(u) = -4*a(u) - x(u). Find f such that o(f) = 0.
1, 5
Let m(u) = 2*u**3 - 25*u**2 + 23*u - 13. Let r(g) = g**3 - 12*g**2 + 11*g - 6. Let a(p) = 6*m(p) - 13*r(p). Factor a(b).
-b*(b - 5)*(b - 1)
Let i(u) be the second derivative of u**5/20 + u**4/4 - 5*u**3/6 - u**2 + 2*u. Let j be i(-4). Solve 12/7*t**4 + 4/7*t**j + 0*t + 2*t**3 + 0 = 0 for t.
-2/3, -1/2, 0
Let b(q) be the first derivative of -q**9/1512 + q**8/840 - 5*q**3/3 + 5. Let g(a) be the third derivative of b(a). Let g(t) = 0. What is t?
0, 1
Let j be (-4)/10 + (-719)/15. Let s = -48 - j. Factor -1/3 - 2/3*c - s*c**2.
-(c + 1)**2/3
Let p = -3815/18 + 212. Let d(y) be the second derivative of 0 + p*y**4 + 1/9*y**3 - 2/3*y**2 + 2*y. Factor d(q).
2*(q - 1)*(q + 2)/3
Let r(t) be the first derivative of -1/9*t**3 + 2 + 1/2*t**2 - 2/3*t. Let r(m) = 0. What is m?
1, 2
Let n(h) be the third derivative of 1/15*h**3 - 1/150*h**5 + 0 + 1/60*h**4 - 6*h**2 + 0*h - 1/300*h**6.