**5 + 4*n**5.
3*n*(n - 1)**2*(n + 1)**2
Suppose -5*w + 2*k + 2*k - 10 = 0, -4*k + 20 = 0. Factor -1/7*n**4 + 0 - 1/7*n**3 + 1/7*n + 1/7*n**w.
-n*(n - 1)*(n + 1)**2/7
Let t(p) be the third derivative of 0*p**4 + 0*p + 0*p**5 - 1/140*p**7 + 0*p**3 + 1/80*p**6 + 0 + 5*p**2. Suppose t(m) = 0. Calculate m.
0, 1
Let d be 14/21*(-30)/(-4). Let v(f) be the second derivative of -3/40*f**d + 0*f**2 + f - 1/24*f**4 + 1/6*f**3 + 0. Factor v(m).
-m*(m + 1)*(3*m - 2)/2
Factor -5/4*x**2 - x + 0 - 1/4*x**3.
-x*(x + 1)*(x + 4)/4
Let o(t) be the second derivative of -t**4/9 + 5*t**3/18 - t**2/6 + 18*t. Determine i so that o(i) = 0.
1/4, 1
Suppose 0 = -h - 13 + 10. Let z be h/(3 - 27/6). Solve 2/5 - 4/5*y + 2/5*y**z = 0.
1
Let u(t) = 2*t**5 + 6*t**4 + 4*t**2 - 4*t + 4. Let w = 9 + -6. Let q(f) = f**5 + 6*f**4 - f**3 + 3*f**2 - 3*f + 3. Let d(b) = w*u(b) - 4*q(b). Factor d(y).
2*y**3*(y - 2)*(y - 1)
Suppose -5*x - 3*x = -672. Let p be 24/x + 108/14. Determine u, given that 8/3*u**2 + 0*u + 6*u**4 + 0 - p*u**3 = 0.
0, 2/3
Let i(l) = l**3 - 3*l**2 + 2*l + 1. Let x be i(2). Let d be 6/12 - (-1 + x). Factor -1/2 - d*j**2 - j.
-(j + 1)**2/2
Factor 22/7*s - 121/7 - 1/7*s**2.
-(s - 11)**2/7
Let y be -1 - -2 - 2*-1. What is r in 0*r**y + 0*r + 0 + 2/7*r**4 + 2/7*r**5 + 0*r**2 = 0?
-1, 0
Let h(a) be the third derivative of a**8/336 + a**7/105 + a**6/120 + a**2. Factor h(m).
m**3*(m + 1)**2
Let q(o) be the second derivative of o**5/10 - 5*o**4/6 + 20*o. Factor q(n).
2*n**2*(n - 5)
Let f be (-5 - -4) + 1 + 0. Suppose 4*l - 4 = f, -4*l + 4 + 2 = c. Find g, given that -2/7*g**c + 4/7*g - 2/7 = 0.
1
Let j(f) = 3*f. Let h be j(-2). Let n(y) = y**2 + 6*y + 1. Let a be n(h). Find i, given that i**4 + 2*i**3 + 0 - a + 2*i - 4*i**3 = 0.
-1, 1
Suppose 0 = n - 0*n - 3. Let u = n + -1. Factor -3*y**2 - 22*y**2 + 17*y - 2 + 3*y - u.
-(5*y - 2)**2
Find s such that 35*s**2 + 4*s - 4*s**3 - 35*s**2 = 0.
-1, 0, 1
Let o be (8 - 4) + 0 + -1. Let i(h) be the third derivative of 0*h**4 - 1/140*h**7 + 0*h - 1/60*h**5 - 1/48*h**6 + 0 + 0*h**o - 2*h**2. Factor i(s).
-s**2*(s + 1)*(3*s + 2)/2
Suppose 0 = r - 5*r + 24. Factor 3*b**3 - 3*b + b**2 - r - 3*b**2 + b**2 + 7*b**2.
3*(b - 1)*(b + 1)*(b + 2)
Let 3/8*u**5 + 3/4*u**3 + 0*u + 0*u**2 + 0 - 9/8*u**4 = 0. Calculate u.
0, 1, 2
Let j(q) be the second derivative of 1/3*q**2 + 0 - 1/60*q**5 + 2*q - 1/18*q**4 + 1/18*q**3. Let j(b) = 0. Calculate b.
-2, -1, 1
Let c(q) = 5*q**3 + 3*q**2 - q + 10. Let t(j) = 4*j**3 + 2*j**2 + 9. Let z(b) = 5*c(b) - 6*t(b). Let m be z(-4). Let -3/5*w + m - 3/5*w**2 = 0. What is w?
-1, 0
Let q be ((-2)/6)/((-5)/1005). Factor -78*o**3 - 98*o**4 + 3*o**2 - q*o**2 - o - 7*o - 76*o**3.
-2*o*(o + 1)*(7*o + 2)**2
Let f = -526/63 - -60/7. Let x be 0/(-2) - (-12)/54. Let f*i**3 - x*i + 0*i**2 + 0 = 0. Calculate i.
-1, 0, 1
Let c = 3 - -2. Suppose c*q - 11 = 9. Suppose q*x**3 + 2*x**3 - x - 5*x**3 = 0. What is x?
-1, 0, 1
Suppose 4*h - 11 = 5. Find x such that 4*x**2 + 0*x**4 - 2*x**2 - 4*x**3 + h*x - 2*x**4 + 0*x**4 = 0.
-2, -1, 0, 1
Let n(f) be the second derivative of -f**4/108 + f**2/18 + 9*f. Factor n(y).
-(y - 1)*(y + 1)/9
Let u be 8/100*15/18. Let s(c) be the second derivative of 2*c + 1/30*c**4 + 0 + u*c**3 + 0*c**2. Let s(w) = 0. Calculate w.
-1, 0
Let v(p) be the second derivative of -p**5/5 - p**4 - 40*p. Factor v(y).
-4*y**2*(y + 3)
Let w be 3*4/6 - 6. Let v(m) = -m. Let k be v(w). Suppose 0*b**2 + k*b + b**2 - 3*b - 2*b = 0. Calculate b.
0, 1
Let b(c) be the second derivative of c**6/30 + 3*c**5/10 + 13*c**4/12 + 2*c**3 + 2*c**2 - c. What is j in b(j) = 0?
-2, -1
Let y(h) be the second derivative of 0 + 1/9*h**3 - 1/30*h**5 - 2*h + 0*h**2 + 0*h**4. Suppose y(l) = 0. What is l?
-1, 0, 1
Let j(w) be the third derivative of w**10/37800 + w**9/3780 + w**8/1008 + w**7/630 + w**5/15 + w**2. Let u(q) be the third derivative of j(q). Factor u(r).
4*r*(r + 1)**2*(r + 2)
Let v(h) = -5*h**3 + 40*h**2 + 95*h + 100. Let d(n) = n**3 + n - 1. Let y(i) = 10*d(i) + v(i). Factor y(p).
5*(p + 2)*(p + 3)**2
Suppose 0 = 2*j - 2, 0*h + 4*h - 14 = -2*j. Let x(t) be the first derivative of 2*t + 1/2*t**4 - t**2 + 1 - 2/3*t**h. Suppose x(l) = 0. What is l?
-1, 1
Let j(o) = o**3 + 32*o**2 + 27*o - 120. Let n be j(-31). What is m in -4/3*m**2 + 2/3*m - 2/3*m**5 + 0 + 0*m**3 + 4/3*m**n = 0?
-1, 0, 1
Let y(f) be the third derivative of 0 + 0*f**3 + 1/36*f**4 - 1/60*f**5 + 1/360*f**6 + 0*f + 7*f**2. Factor y(n).
n*(n - 2)*(n - 1)/3
Suppose 15*b = 11*b + 8. Let p(r) be the third derivative of -5/72*r**4 - r**b + 0 - 1/360*r**6 + 1/45*r**5 + 1/9*r**3 + 0*r. Factor p(s).
-(s - 2)*(s - 1)**2/3
Let n(g) = -g**2 + 16*g - 12. Let k be n(15). Let l be 14/(-70) + (-22)/(-10). Factor 0*b**l + 0 + 1/2*b**5 + 0*b + 1/2*b**k + b**4.
b**3*(b + 1)**2/2
Let g(y) = 3*y - 12. Let k be g(4). Let q(l) be the second derivative of -1/6*l**4 - l + 0*l**3 + 1/20*l**5 + 0*l**2 + k. Suppose q(r) = 0. What is r?
0, 2
What is o in -4/21*o + 0 + 2/21*o**4 - 2/21*o**5 + 2/7*o**3 - 2/21*o**2 = 0?
-1, 0, 1, 2
Let o(h) be the third derivative of h**8/42 + h**7/21 - 11*h**6/60 - 23*h**5/30 - 13*h**4/12 - 2*h**3/3 - 16*h**2. Determine p, given that o(p) = 0.
-1, -1/4, 2
Let j(k) = 2*k - 4. Let l be j(2). Let h(z) be the first derivative of l*z + 1/4*z**4 + 0*z**3 - 1/2*z**2 - 2. Factor h(o).
o*(o - 1)*(o + 1)
Let o(w) be the second derivative of -w**4/60 - w**3/15 + 3*w + 3. Find x, given that o(x) = 0.
-2, 0
Let g(p) be the third derivative of -p**5/20 + 5*p**2. Let n(h) = -3*h**2. Let z(f) = 3*g(f) - 2*n(f). Suppose z(v) = 0. Calculate v.
0
Let x(c) be the third derivative of c**7/630 - c**5/90 + c**3/18 + 4*c**2. Let x(a) = 0. Calculate a.
-1, 1
Let u be -2 - 1 - (-17)/5. Factor 0 + 0*x + 4/5*x**2 - 2/5*x**4 - u*x**3.
-2*x**2*(x - 1)*(x + 2)/5
Let f(m) be the second derivative of 7*m + 0*m**3 + 1/30*m**6 + 0 + 0*m**2 + 3/20*m**5 + 1/6*m**4. Factor f(a).
a**2*(a + 1)*(a + 2)
Let w(r) be the third derivative of -r**8/7560 + r**6/540 - r**5/270 - 7*r**3/6 + 3*r**2. Let z(k) be the first derivative of w(k). Find y such that z(y) = 0.
-2, 0, 1
Let i(g) be the third derivative of g**8/216 + g**7/189 - g**6/270 - 6*g**2. Factor i(f).
2*f**3*(f + 1)*(7*f - 2)/9
Let t(v) = -v + 1. Let s be t(6). Let x(d) = 5*d**2 + 12*d - 3. Let r(l) = -5*l**2 - 11*l + 2. Let w(f) = s*r(f) - 4*x(f). Factor w(n).
(n + 1)*(5*n + 2)
Let y = 2 + -2. Factor 6*p + 4*p**3 - p**3 - 4*p**2 + y*p**3 + 13*p**2.
3*p*(p + 1)*(p + 2)
Let 202 - 198 + 2*w + 3*w**2 - 15*w = 0. Calculate w.
1/3, 4
Suppose 5*z = 5*m + 5, -2*z - 2*z - 3*m = 3. Let d(k) be the first derivative of -1/10*k**4 + 0*k + z*k**3 - 1 + 0*k**2 + 2/25*k**5. Factor d(h).
2*h**3*(h - 1)/5
Let a(l) be the first derivative of -2*l**3/21 + 8*l**2/7 - 32*l/7 + 2. Determine w so that a(w) = 0.
4
Find d, given that 3/2*d - 1/4*d**2 - 9/4 = 0.
3
Let u be (-44)/(-16) + (-3 - (-39)/12). Factor 0 - 3/2*q**u + 0*q - 1/2*q**4 - q**2.
-q**2*(q + 1)*(q + 2)/2
Suppose -95*c + 21 = -88*c. Factor -x**c + x - 1/2*x**2 + 0 + 1/2*x**4.
x*(x - 2)*(x - 1)*(x + 1)/2
Suppose 0*i = -3*i. Suppose i*l = m + 3*l + 6, -4*l - 3 = 3*m. What is p in 16*p**4 + p + 3*p**m + 9*p**3 - 3*p + 6*p**5 = 0?
-1, 0, 1/3
Suppose 0 = 8*u - 6*u - 6. Factor w**3 + 8*w**3 - 4*w - 5*w**u + 0*w.
4*w*(w - 1)*(w + 1)
Let r = 117/77 + -3/154. Factor 3/2*x**4 + 0*x**2 + r*x**3 + 0*x + 0.
3*x**3*(x + 1)/2
Let x(y) = 3*y**5 + 17*y**4 - 55*y**3 + 32*y**2. Let h(c) = 2*c**5 + 18*c**4 - 54*c**3 + 32*c**2. Let k(a) = 7*h(a) - 6*x(a). Find q such that k(q) = 0.
0, 2
Let y(o) = 64*o - 384. Let q be y(6). Factor q + 0*f**2 + 1/4*f - 1/4*f**3.
-f*(f - 1)*(f + 1)/4
Solve 22/15*m + 4/15 + 6/5*m**2 = 0.
-1, -2/9
Let j(i) be the third derivative of 2*i**7/35 + i**6/30 - 3*i**5/20 + i**3/6 + 5*i**2. Factor j(h).
(h + 1)*(2*h - 1)**2*(3*h + 1)
Let q(u) be the third derivative of u**6/120 - 3*u**5/40 + u**4/4 - u**3/6 - 2*u**2. Let a(i) be the first derivative of q(i). Determine k, given that a(k) = 0.
1, 2
Let u(c) be the second derivative of 0 + 0*c**3 - 1/10*c**5 + 0*c**2 + 4*c - 1/6*c**4. Determine o so that u(o) = 0.
-1, 0
Let n = -31 + 33. Let h(d) be the first derivative of -2 + 7/4*d**4 + 0*d - 4*d**3 - n*d**2. Determine y, given that h(y) = 0.
-2/7, 0, 2
Let a(s) be the first derivative of -s**7/840 + 2*s**3/