e x(b) = 0.
-13, -1
Factor -8/13*n**4 + 0 + 18/13*n**3 - 4/13*n**2 + 0*n.
-2*n**2*(n - 2)*(4*n - 1)/13
Factor -24/5*g + 12/5 - 3/5*g**5 + 3/5*g**2 + 3*g**3 - 3/5*g**4.
-3*(g - 1)**3*(g + 2)**2/5
Let r(h) be the second derivative of -h**10/136080 + h**8/30240 + h**4/3 - 5*h. Let a(x) be the third derivative of r(x). Factor a(b).
-2*b**3*(b - 1)*(b + 1)/9
Let t(m) be the first derivative of m**6/54 - m**5/15 + m**4/18 - 4. Let t(v) = 0. Calculate v.
0, 1, 2
Let u(d) be the first derivative of -2*d**3 + 6/5*d**5 + 0*d + 0*d**4 - 3/2*d**2 - 3 + 1/2*d**6. Find y such that u(y) = 0.
-1, 0, 1
Let t(i) = -i**3 + 2*i**2 + 2. Let f be t(2). Let -f*j**2 - 4 - 3*j**2 - 4*j - 3*j**3 + 2*j**3 - 4*j = 0. What is j?
-2, -1
Suppose f + 80 = -4*f. Let v be (-6)/4*f/36. Solve -2/3*m**2 + v + 2/3*m - 2/3*m**3 = 0.
-1, 1
Let s(q) be the first derivative of 5*q**6/6 + q**5 + 2*q**3 + 3*q**2 - 1. Let w(g) = -6*g**5 - 6*g**4 - 7*g**2 - 7*g. Let l(n) = -7*s(n) - 6*w(n). Factor l(p).
p**4*(p + 1)
Let s(d) be the third derivative of d**7/735 - d**6/420 - d**5/210 + d**4/84 - 5*d**2. Find k such that s(k) = 0.
-1, 0, 1
Let o(z) be the third derivative of 1/108*z**4 - 4*z**2 + 1/270*z**5 + 0*z**3 + 0*z + 0. Solve o(i) = 0 for i.
-1, 0
Let q(l) = l - 7. Let b(z) = z + 2. Let i be b(7). Let p be q(i). Find h such that -2*h + 3 + 1/3*h**p = 0.
3
Let p = -170 - -170. Factor 0 + 0*c**4 + 1/3*c**3 + 0*c + p*c**2 - 1/3*c**5.
-c**3*(c - 1)*(c + 1)/3
Let q be (-20)/5 - -9*1. Let t(w) be the third derivative of 2*w**2 - 1/20*w**q + 0 + 0*w**3 + 0*w - 1/60*w**6 - 1/24*w**4. Factor t(r).
-r*(r + 1)*(2*r + 1)
Let m be 12/7 + 2/7. Find t, given that 7*t**2 - 9*t**m - 2*t + 4*t**2 = 0.
0, 1
Let o be (-1)/(15/(-70)) - 1/(-3). Let u(g) be the third derivative of -1/8*g**3 - 1/80*g**o + 0*g + 1/16*g**4 + 0 - g**2. Factor u(i).
-3*(i - 1)**2/4
Let g(o) = -o**3 + o. Let w be g(0). Solve 2*m + m**3 + m**3 + w*m**3 - 4*m**2 = 0.
0, 1
Let l be (-1)/(-2)*-2*-4. What is t in 3*t**4 - t**l + 0 + 4*t**3 - 4*t + 2 - 4 = 0?
-1, 1
Let k(h) be the second derivative of -h**6/40 + h**4/16 - 3*h. Factor k(b).
-3*b**2*(b - 1)*(b + 1)/4
Suppose -4*o + 7 + 5 = 0. Factor -8*x**3 + o - 9 + 15*x + 9*x**4 - 3*x**2 - 7*x**3.
3*(x - 1)**2*(x + 1)*(3*x - 2)
Let u be (-1)/3 - (114 - 115). Solve 1/3*b**2 + 0 + u*b = 0.
-2, 0
Suppose 0*a = -3*a + 27. Let h = 13 - a. Find x such that 1/3*x**3 - 4/3*x**h + 0*x**2 + 0 + 0*x + x**5 = 0.
0, 1/3, 1
Let i(x) = 0 - 3*x**4 - x**4 - 2*x**4 + 4. Let v(a) = -a**4 + a**3 + 1. Let t(c) = -i(c) + 4*v(c). Factor t(g).
2*g**3*(g + 2)
Factor -228*r**5 + 2*r**3 + 224*r**5 - 2*r**3 + 4*r**3.
-4*r**3*(r - 1)*(r + 1)
Let p(n) = n + 0*n + n**2 - 4 + 2 + 4*n. Let h(d) = -4*d**2 - 13*d + 4*d - 2 + 2*d**2 + 6. Let f(k) = -4*h(k) - 7*p(k). What is l in f(l) = 0?
-2, 1
Let n be (-15)/((-765)/132) - 2. Solve -8/17*b**3 - 4/17*b + n*b**2 + 2/17*b**4 + 0 = 0 for b.
0, 1, 2
Let j(y) = -3*y**3 - y. Let r(i) = 16*i**3 + i**2 + 6*i - 1. Let c(s) = -11*j(s) - 2*r(s). Factor c(x).
(x - 2)*(x - 1)*(x + 1)
Let c(g) be the first derivative of 0*g**3 + 2*g**4 - 4*g**2 - 1 - 4/5*g**5 + 4*g. What is o in c(o) = 0?
-1, 1
Suppose -4*j + 40 = 16. Suppose 0*p - 3*p + j = 0. Factor -1/3*h**p - 1/3*h + 0.
-h*(h + 1)/3
Suppose -t - t = -4. Solve 7*w + 8 + 6*w**t + 0*w**3 + 8*w - 3*w + w**3 = 0.
-2
Let q(y) be the second derivative of 1/8*y**2 - 1/48*y**4 + 0*y**3 + 0 + 5*y. Factor q(b).
-(b - 1)*(b + 1)/4
Factor 13 + 5*h**2 + 11*h + 29*h + 67.
5*(h + 4)**2
Let l(q) be the first derivative of -q**7/21 + 2*q**6/15 - q**5/10 - 3*q + 3. Let f(s) be the first derivative of l(s). Solve f(j) = 0.
0, 1
Let c = 125 - 125. Let s(i) be the third derivative of 0*i**4 + 0 + c*i**5 - 1/1344*i**8 + 0*i**3 + 0*i + 0*i**6 - 2*i**2 + 1/840*i**7. What is v in s(v) = 0?
0, 1
Let w = 81/14 - 39/7. Let q = w + 41/70. Solve -4/5*g**2 + 0 + q*g**4 - 2/5*g**5 + 0*g**3 + 2/5*g = 0 for g.
-1, 0, 1
Let a(n) = -10*n**5 - 11*n**4 + 10*n**3 - 11*n - 11. Let v(u) = u**5 + u**4 - u**3 + u + 1. Let m(g) = 4*a(g) + 44*v(g). Factor m(z).
4*z**3*(z - 1)*(z + 1)
Let i(l) be the second derivative of 1/30*l**4 + 16/5*l**2 + 6*l + 0 - 8/15*l**3. Suppose i(s) = 0. What is s?
4
Let y be (0 - 3 - -2)*-3. Factor 2*z**5 + 3*z**4 - z**5 - 2*z**y - 3*z**4 + z + z**4 + 1 - 2*z**2.
(z - 1)**2*(z + 1)**3
Let k be (8/(-6))/(-2)*3. Factor 11*a**3 - a + 2*a + 2*a**4 + 16*a**k - a**3 + 7*a.
2*a*(a + 1)*(a + 2)**2
Suppose 3*s - 7*s = -4, -2*l = 2*s - 6. Find g, given that 3/2*g**l + 0*g + 3/2*g**3 + 0 = 0.
-1, 0
Let c be ((-80)/(-30))/(2/3). Suppose 0 = -c*p + 11 - 3. Factor -12*m + 12*m - 3*m**p + 3.
-3*(m - 1)*(m + 1)
Suppose -28 = g + 3*g. Let h be ((-1)/g)/(2/4). Determine p, given that 2/7*p**5 + 0*p + h*p**2 + 0 + 6/7*p**4 + 6/7*p**3 = 0.
-1, 0
Let x(q) be the first derivative of -4*q**5/35 + 13*q**4/28 - q**3/7 - 8*q**2/7 + 4*q/7 + 55. Suppose x(a) = 0. Calculate a.
-1, 1/4, 2
Let y(n) be the third derivative of -7/60*n**5 + 1/120*n**6 + 0 + n**2 + 5/8*n**4 - 3/2*n**3 + 0*n. Factor y(c).
(c - 3)**2*(c - 1)
Let 4/15*l**2 + 0 - 2/5*l + 2/15*l**3 = 0. Calculate l.
-3, 0, 1
Suppose -3*d - 119 - 176 = 4*l, 65 = -l + d. Let i be ((-8)/14)/(60/l). Determine h so that -1/3*h**2 - i*h + 0 + h**3 = 0.
-2/3, 0, 1
Let w(p) = 26*p**2 + 7*p + 2. Let h be w(-6). Let z = h - 5353/6. Suppose 10/3*v**2 + 2/3*v + 0 - z*v**3 + 24*v**5 - 20*v**4 = 0. Calculate v.
-1/4, 0, 2/3
Solve 2*o**4 - 2*o + 2*o**3 - 387*o**2 + 0*o + 385*o**2 = 0.
-1, 0, 1
Let h(f) be the first derivative of 1/6*f**6 - 1/2*f**4 + 1/2*f**2 + 0*f**5 - 1 + 0*f**3 + 0*f. Solve h(n) = 0.
-1, 0, 1
Find d, given that 2/13*d**4 - 8/13*d**3 + 6/13*d**2 - 8/13 + 8/13*d = 0.
-1, 1, 2
Let h be (-28)/(-70) - (-18)/5. Let i be (-1)/(-4) - (-1)/h. Suppose -1/2*o**2 + 0 - i*o = 0. Calculate o.
-1, 0
Suppose 33/2*w**3 - 39/2*w**4 + 0 + 0*w + 3*w**2 = 0. Calculate w.
-2/13, 0, 1
Let g be (5 - 20/5) + 2/4. Let x(r) be the first derivative of r**3 - 3/4*r**4 + g*r**2 - 3*r - 3. Factor x(l).
-3*(l - 1)**2*(l + 1)
Let t(c) be the first derivative of 0*c - 1/3*c**3 + 2 + 0*c**2. Factor t(h).
-h**2
Let q = -37 + 37. What is c in -13/4*c**2 + q + 1/2*c + 9/2*c**3 = 0?
0, 2/9, 1/2
Let m(z) be the first derivative of -5*z**5/4 + 5*z**4/16 + 4*z**3/3 + z**2/2 - 7. Factor m(w).
-w*(w - 1)*(5*w + 2)**2/4
Let h(c) be the third derivative of -1/6*c**4 - 4*c**2 + 1/60*c**5 + 0 + 0*c + 2/3*c**3. Suppose h(s) = 0. What is s?
2
Let d(a) = 13*a**2 + 24*a + 24. Suppose -q = 3 - 0. Let z = q - -10. Let f(v) = -6*v**2 - 12*v - 12. Let i(c) = z*f(c) + 3*d(c). Factor i(m).
-3*(m + 2)**2
Suppose 0*v - 5*v + 40 = 0. Suppose -4*t = -3*b + 12, 16 = 5*t + v*b - 4*b. Suppose -4/3*o - 2/3*o**2 + t = 0. Calculate o.
-2, 0
Suppose -10*v + 15/2 + 5/2*v**2 = 0. Calculate v.
1, 3
Factor -40*z + 454*z**4 - 750*z**3 + 94*z**4 + 300*z**2 + 77*z**4.
5*z*(5*z - 2)**3
Factor -2/3*z**3 + 0*z**2 - 4/3*z**4 - 2/3*z**5 + 0*z + 0.
-2*z**3*(z + 1)**2/3
Let w(f) be the third derivative of 0*f**7 + 0*f**3 + 0*f**4 - 9*f**2 + 1/336*f**8 + 0*f**5 + 0 + 0*f + 0*f**6. Factor w(b).
b**5
Let l(n) be the first derivative of -n**5/30 + n**2/2 - 6. Let j(c) be the second derivative of l(c). Factor j(x).
-2*x**2
Let x(z) be the third derivative of 1/360*z**5 - 1/36*z**3 + 1/720*z**6 - 3*z**2 - 1/144*z**4 + 0*z + 0. Factor x(c).
(c - 1)*(c + 1)**2/6
Suppose 0*m = 3*m. Factor 0*v + v**4 + v + m*v**2 + 2*v**5 - 3*v**3 - v**2.
v*(v - 1)*(v + 1)**2*(2*v - 1)
Let b be 6/(-12)*6 - -5. Let d(u) be the first derivative of -2/3*u**3 + 8*u - b + 2*u**2 - 1/4*u**4. Factor d(t).
-(t - 2)*(t + 2)**2
Let q be ((-4)/9)/(-2 - -3). Let x = -1/9 - q. Factor -x*c + 0 - 2/3*c**4 + 2/3*c**2 + 0*c**3 + 1/3*c**5.
c*(c - 1)**3*(c + 1)/3
Let x(m) be the third derivative of m**6/60 + m**5/15 - m**4/12 - 2*m**3/3 + 5*m**2. Factor x(b).
2*(b - 1)*(b + 1)*(b + 2)
Let m be (-4 - -2) + 65/5. Let b be 174/231 - 2/m. Solve -2/7*f**3 + 0*f - 2/7*f**5 + 0 - b*f**4 + 0*f**2 = 0.
-1, 0
Suppose 12 = 6*d - 3*d. What is q in -4*q**d - q**5 + q**3 + 5*q**4 - 3*q**3 - 4*q**4 = 0?
-2, -1, 0
Let y(k) be the second derivative of -k**7/21 - 4*k**6/15 - 3*k**5/5 - 2*k**4/3 - k**3/3 + 21*k. Factor y(q).
-2*q*(q + 1)**4
Suppose -2*q + 14 = 3*q - 4*c, 4*c + 8 = 2*q. Solve 8/3 + q*w**2 + 16/3*w = 0.
-2, -2/3
Let q(o) be the third deriva