 + 0*o**2 + 0.
2*o*(o - 1)*(o + 1)/13
Let y = -193/4 + 203/4. Suppose y*h**4 + 0*h**3 - 5*h - 15/2*h**2 + 0 = 0. Calculate h.
-1, 0, 2
Let d(h) be the first derivative of h**6/24 + 7*h**5/5 + 145*h**4/16 + 149*h**3/6 + 67*h**2/2 + 22*h - 410. Find r, given that d(r) = 0.
-22, -2, -1
Let w(x) be the third derivative of 2/315*x**7 + 1/18*x**4 + 0*x + 0*x**3 + 0 + 1/15*x**5 - 1/24*x**6 - 23*x**2. Factor w(y).
y*(y - 2)**2*(4*y + 1)/3
Let w(i) = 7*i**5 + 16*i**4 + 23*i**3 + 14*i**2 - 6*i + 6. Let a(l) = -l**5 - l**4 + l - 1. Let q(c) = -6*a(c) - w(c). Determine s so that q(s) = 0.
-7, -2, -1, 0
Suppose 2/9*b**4 + 0*b + 176/9*b**3 + 0*b**2 + 0 = 0. Calculate b.
-88, 0
Factor 4536 - 72*x + 2/7*x**2.
2*(x - 126)**2/7
Let m = -3414 - -13657/4. Factor -1/4*i + 1/4*i**3 - 1/4 + m*i**2.
(i - 1)*(i + 1)**2/4
Suppose -c = q - 22 + 14, 3*q = 5*c. Suppose 4/11*b**2 + 2/11*b - 2/11*b**4 + 2/11*b**q - 2/11 - 4/11*b**3 = 0. What is b?
-1, 1
Let r(c) = 24*c**3 + 9*c**2 - 27*c - 9. Let a(i) = 25*i**3 + 8*i**2 - 27*i - 8. Let y = -25 + 27. Let m(u) = y*r(u) - 3*a(u). Factor m(x).
-3*(x - 1)*(x + 1)*(9*x + 2)
Let u(s) be the first derivative of 0*s**2 - 1/90*s**5 + 0*s - 1 - 1/540*s**6 - 1/36*s**4 - 4/3*s**3. Let j(y) be the third derivative of u(y). Factor j(a).
-2*(a + 1)**2/3
Let c(u) be the first derivative of -u**4/30 - 2*u**3/3 - 5*u**2 - 10*u + 4. Let m(x) be the first derivative of c(x). Determine t so that m(t) = 0.
-5
Let p = -109 + 73. Let w be -1*2*-2 - (-117)/p. Find s such that -3/4*s**3 - 1/4*s**5 - 1/4*s**2 - w*s**4 + 0*s + 0 = 0.
-1, 0
Let z(m) be the first derivative of 8*m**6/9 + 26*m**5/9 + 5*m**4/2 - 10*m**3/9 - 25*m**2/9 - 4*m/3 - 117. Solve z(f) = 0 for f.
-1, -3/8, 2/3
Let u(c) = -c**2 + 7*c - 7. Let k be u(5). Let o be (-2)/(-18) - 266/(-684). Factor 0 - 9/2*g + 5/2*g**k + o*g**4 + 3/2*g**2.
g*(g - 1)*(g + 3)**2/2
Let b(g) be the second derivative of -1/6*g**4 + 1/70*g**5 + 16*g + 16/7*g**2 + 8/21*g**3 + 0. Find a, given that b(a) = 0.
-1, 4
Let 28/3*g + 1/3*g**4 + 8/3*g**3 + 23/3*g**2 + 4 = 0. Calculate g.
-3, -2, -1
Let g be (5/(-100))/(1/(-2)). Let p(a) be the first derivative of 1/30*a**6 - g*a**4 + 1/10*a**2 - 3 + 0*a**5 + 0*a + 0*a**3. Factor p(x).
x*(x - 1)**2*(x + 1)**2/5
Let u(f) = f**2 - 9*f + 15. Let b be u(7). Factor 6*w + 5*w**2 + b + 9 - 18*w - 3*w.
5*(w - 2)*(w - 1)
Let j(x) be the first derivative of -2*x**3/15 - 3*x**2/5 + 56*x/5 + 86. Factor j(z).
-2*(z - 4)*(z + 7)/5
Let j(a) = a**2 - 8*a - 2. Let x be j(8). Let o = x + 5. Factor 3*i + 4*i**2 - 3*i**3 + o - 3*i**2 - 4*i**2.
-3*(i - 1)*(i + 1)**2
Factor -v**3 - 4*v**3 - 3*v**3 + 6*v**3 - v**3.
-3*v**3
Let i(l) = 6*l**3 + 8*l**2 - 10*l - 6. Let r(m) = -m**4 - 7*m**3 - 9*m**2 + 11*m + 5. Let w(p) = -6*i(p) - 4*r(p). What is z in w(z) = 0?
-1, 2
Let o = -1494 - -1496. Factor 2/11*s - 2/11*s**o - 2/11*s**3 + 2/11.
-2*(s - 1)*(s + 1)**2/11
Let f(q) be the first derivative of q**7/252 + q**6/180 - 19*q + 12. Let j(r) be the first derivative of f(r). Factor j(w).
w**4*(w + 1)/6
Let f(n) be the first derivative of -2*n**6/3 + 36*n**5/5 - 7*n**4 - 12*n**3 + 16*n**2 - 164. Find q such that f(q) = 0.
-1, 0, 1, 8
Let d be (-26 + 26)*(-4 - (-17)/4). Factor d*w + 2/11*w**3 + 0 + 8/11*w**2.
2*w**2*(w + 4)/11
Suppose 0 = 64*u - 74 - 182. Let w(g) be the second derivative of -7/12*g**u - 5/2*g**3 + 0 - 9/2*g**2 - 4*g - 1/20*g**5. Factor w(r).
-(r + 1)*(r + 3)**2
Let s be (-2)/18 - (-1196)/234 - -5. Let j(c) be the third derivative of -1/180*c**5 + 0*c - s*c**2 + 0*c**4 + 0 + 0*c**3 + 1/720*c**6. Solve j(g) = 0 for g.
0, 2
Let p be -5 + 671 + (-12 + 4 - -5). Let g = -8615/13 + p. Let 2/13*m**3 - 2/13*m**4 - g - 2/13*m + 6/13*m**2 = 0. What is m?
-1, 1, 2
Let a = -8629 + 43146/5. Factor a*x**2 - 1/5*x + 0.
x*(x - 1)/5
Let m(y) be the first derivative of 2*y**3/21 + 25*y**2/7 - 52*y/7 - 154. Factor m(t).
2*(t - 1)*(t + 26)/7
Factor -1/2*y**3 - 17/2*y - 5*y**2 - 4.
-(y + 1)**2*(y + 8)/2
Let v = -5 + 7. Determine p, given that -7*p + 5*p**2 + 3*p**v + 4*p**5 + 0*p + 3*p - 8*p**4 = 0.
-1, 0, 1
Let g = -7801 + 7803. Factor -2/7*p**g + 0 + 12/7*p.
-2*p*(p - 6)/7
Let n(i) be the third derivative of 2*i**2 + 4/105*i**5 + 1/420*i**6 + 5 + 0*i + 4/21*i**4 + 0*i**3. Factor n(v).
2*v*(v + 4)**2/7
Let l be 1*72/33 - 4/22. Let z(j) be the first derivative of 2/25*j**5 + 2/15*j**3 + 0*j**2 + 0*j + 1/5*j**4 + l. Factor z(v).
2*v**2*(v + 1)**2/5
Let c(h) = -39*h + 164. Let i be c(4). Let q(f) be the first derivative of -2*f**2 + f**4 - 9 - i*f + 8/3*f**3. Factor q(g).
4*(g - 1)*(g + 1)*(g + 2)
Let a(j) be the first derivative of j**4/4 + 35*j**3 - 637. Factor a(i).
i**2*(i + 105)
Suppose -1341 = 5*o - 8*o. Factor -o - c**2 - 228 - 3*c**2 + c**2 - 90*c.
-3*(c + 15)**2
Let d be 20/55*(-334)/36. Let u = 32/9 + d. Find j such that u*j**5 - 4/11*j**2 + 10/11*j**3 + 0*j + 0 - 8/11*j**4 = 0.
0, 1, 2
Suppose 48*u - 30*u - 54 = 0. Factor 0*c**2 + 0*c + 0 + 2/7*c**u + 2/7*c**4.
2*c**3*(c + 1)/7
Find k such that k**3 + 11 + 5 + 36*k**2 + 6*k**3 - 12*k**4 - 22 - 4*k**3 + 15*k = 0.
-1, 1/4, 2
Let u(t) be the second derivative of t**4/12 + 5*t**3/6 + 159*t. Factor u(o).
o*(o + 5)
Factor 2*w**3 - 254 + 231*w**2 + 4329*w - 4309 + w**3.
3*(w - 1)*(w + 39)**2
Let v(m) = m**2 - 3*m + 2. Let w be v(2). Let f = w - 0. Find t, given that 3*t**3 + 2*t**2 + f*t**2 - 3*t**3 + 2*t**3 = 0.
-1, 0
Suppose -4*s + 11 = -5. Let -q**2 + 2*q**5 + 2*q**s + 3*q**5 - 2 - 4*q**5 - 7*q - 7*q**2 - 2*q**3 = 0. What is q?
-1, 2
Let m(g) = g**2 + 4*g - 5. Let v(i) = -i**3 - 7*i**2 - 9*i. Let k be v(-5). Let o be m(k). Determine p so that o - 4/7*p - 2/7*p**2 = 0.
-2, 0
Let w(v) = v**3 - v**2 + 2*v - 1. Let l(m) = -8*m**3 + 20*m**2 + 12*m + 4. Let o(q) = -l(q) - 4*w(q). Find t, given that o(t) = 0.
-1, 0, 5
Let x = 771 + -769. Factor -1/3 + 1/2*j - 1/6*j**x.
-(j - 2)*(j - 1)/6
Factor 3/10*a**2 + 1/2*a + 1/5 - 1/10*a**3 - 1/10*a**4.
-(a - 2)*(a + 1)**3/10
Let y(d) be the third derivative of d**7/1680 - d**6/160 - 17*d**4/24 - 13*d**2. Let o(p) be the second derivative of y(p). Solve o(l) = 0.
0, 3
Let n(c) be the third derivative of -c**6/240 + c**5/20 - 11*c**4/48 + c**3/2 + 161*c**2. Factor n(q).
-(q - 3)*(q - 2)*(q - 1)/2
Let c = 2684 - 2681. Find p such that -3/8*p**2 - 1/8*p - 1/4*p**c + 0 = 0.
-1, -1/2, 0
Let l be (-6)/(3 + (-30)/4). Let q be (-2)/(-8) - (-5)/(-180). Factor -2 - q*c**2 + l*c.
-2*(c - 3)**2/9
Suppose -16 = -2*a - 10. Let u(h) = -6*h**3 - 6*h**2 - 2*h + 6. Let x(w) = 2*w**3 + 2*w**2 + w - 2. Let j(t) = a*u(t) + 8*x(t). Factor j(g).
-2*(g - 1)*(g + 1)**2
Let q be -2 - -2 - 3 - 24/(-4). Solve -9 + 30*v + 9 - q*v**2 = 0 for v.
0, 10
Let y(c) = 5*c**5 - 2*c**4 + 7*c**3 - 16*c**2 + 12*c - 6. Let b(a) = a**5 - a**4 - a**2 + 2*a - 1. Let o(x) = -6*b(x) + y(x). What is s in o(s) = 0?
-2, 0, 1, 5
Solve 69*v**3 - 22*v**3 - 216*v + 324 - 23*v**3 - 4*v**4 = 0 for v.
-3, 3
Let h = -1830 - -3663/2. Factor 1/2*d**2 - h + d.
(d - 1)*(d + 3)/2
Let n(p) be the first derivative of 5*p**6/27 + 56*p**5/45 + 8*p**4/3 + 32*p**3/27 - 16*p**2/9 - 32. Solve n(r) = 0.
-2, 0, 2/5
Let y be (-11 - (-280)/30)/(5/6*-1). Factor -2/7*c**y - 2/7*c + 0.
-2*c*(c + 1)/7
Let i(r) be the first derivative of 3*r**5/5 - 3*r**4 + 4*r**3 - 181. Factor i(v).
3*v**2*(v - 2)**2
Determine o so that -14*o**2 - 32/3*o + 32/3 = 0.
-4/3, 4/7
Let w(v) = -v**4 - v**3 - v**2 + 1. Let g be 15/(-9) - (-3)/(-9). Let j(f) = 2*f**4 + f**3 - f**2. Let n(y) = g*w(y) - 2*j(y). Solve n(p) = 0 for p.
-1, 1
Let s = 7556/5 + -1511. Find c, given that 2/5*c**2 + 0*c + 0 - s*c**3 = 0.
0, 2
Suppose 8 = 5*u - 7. Suppose 4*q + 2 = 2*r, 3*q - u = 3*r - 6. Determine w so that 3*w + 2*w**2 + q*w - 5*w**2 = 0.
0, 1
Let o(t) = t**3 + 5*t**2 - 6*t + 3. Let w be o(-6). Suppose d - 14 = -2*p, -4*d - 6*p = -2*p - 52. Let w*n**2 - 3*n**3 - d*n + 4*n**2 + 5*n**2 = 0. Calculate n.
0, 2
Let u = 101 + -101. Let y(a) be the third derivative of -7*a**2 + u + 0*a**3 - 1/8*a**4 + 0*a - 3/40*a**5. Factor y(r).
-3*r*(3*r + 2)/2
Let a(n) be the first derivative of -5*n**4/4 + 15*n**3 - 60*n**2 + 100*n + 86. Find v such that a(v) = 0.
2, 5
Let c(i) be the third derivative of 0*i - 6*i**2 - 7/240*i**5 + 19/96*i**4 + 1/4*i**3 + 0. Suppose c(a) = 0. Calculate a.
-2/7, 3
Let v be ((-3)/((-6)/5))/(30/72). Let i(r) be the se