 8*y - 56*y + 14.
4*(y - 8)**2
Let h(a) be the third derivative of -a**6/90 - 7*a**5/45 - 5*a**4/6 - 2*a**3 - 18*a**2. Find o such that h(o) = 0.
-3, -1
Find z, given that -1 - 1/4*z**2 + 5/4*z = 0.
1, 4
Let i(q) = -87*q**2 + q + 1 + 89*q**2 + 2*q. Let y be i(-2). Factor y - 3*k**3 + 6*k - 3 - 5*k**2 + 2*k**2.
-3*k*(k - 1)*(k + 2)
Let b(u) be the first derivative of u**4/18 + 8*u**3/27 + 4*u**2/9 - 8. Let b(p) = 0. Calculate p.
-2, 0
Let t = 1 - 1. Let s(p) be the third derivative of -p**2 + 0 + 1/90*p**5 + t*p + 0*p**3 - 1/72*p**4 - 1/360*p**6. Factor s(v).
-v*(v - 1)**2/3
Let z be (-20638)/(-2172) - (3 - 6). Let y = z - 1/543. Factor -1/2 + 5*n - y*n**2.
-(5*n - 1)**2/2
Let v(t) be the first derivative of -t**8/336 - t**7/840 + t**2/2 - 4. Let s(p) be the second derivative of v(p). Find h such that s(h) = 0.
-1/4, 0
Let o be (-5)/20 - (-17)/4. Let j(f) = -4*f**3 + 5*f**3 + f**2 + f**4 - 2*f**o. Let m(t) = -4*t**4 + 12*t**2 - 2*t. Let c(v) = 6*j(v) - m(v). Factor c(r).
-2*r*(r - 1)**3
Let m be 2/6*(-774)/(-172). Let m*k**3 - 15/2*k**2 + 12*k - 6 = 0. What is k?
1, 2
Let s = 3 + -6. Let c(t) = t**4 + 2*t**3 + 2*t**2 - 5*t. Let w(z) = 2*z**4 + 2*z**3 + 2*z**2 - 6*z. Let r(y) = s*w(y) + 4*c(y). Factor r(o).
-2*o*(o - 1)**2*(o + 1)
Factor -9*y + 17 + 15 - 20 - 3*y**2.
-3*(y - 1)*(y + 4)
Let o be (-132)/52 - (2 - 5). Factor o*a**2 - 2/13*a + 0.
2*a*(3*a - 1)/13
Let a(v) be the first derivative of v**3 + 0*v**2 + 0*v - 3/4*v**4 - 8. Factor a(j).
-3*j**2*(j - 1)
Let c(x) be the first derivative of -x**7/2520 - x**6/1080 + x**3 - 1. Let s(r) be the third derivative of c(r). Suppose s(q) = 0. What is q?
-1, 0
Determine f so that 7 + 8*f - 5 - 5 + 0 + 3*f**2 = 0.
-3, 1/3
Let q(w) = -w**3 - 12*w**2 - 12*w - 8. Let j be q(-11). Suppose 5*s - 10 = -3*c + 2*c, 0 = -5*s - j*c + 10. Suppose 8 + b**2 + b**s - 9 - b**4 = 0. What is b?
-1, 1
Determine y, given that 0 + 0*y**2 + 0*y - y**4 - 2/3*y**3 = 0.
-2/3, 0
Suppose 5*b - 8 = -x + 26, -x = -2*b + 8. Let h be b/4 + 1 + -2. Factor 0*f**2 + f**3 - 1/2*f + 0*f**4 + 0 - h*f**5.
-f*(f - 1)**2*(f + 1)**2/2
Let j(g) = -g + 12. Let w = 15 - 5. Let c be j(w). Factor 4 - f**c + 1 + 2*f - 6.
-(f - 1)**2
Let h(r) be the first derivative of 2*r**5/15 - 5*r**4/12 + r**3/3 - r**2/2 + 2. Let j(o) be the second derivative of h(o). Suppose j(g) = 0. What is g?
1/4, 1
Factor 0 - 3/4*j**3 + 3/4*j**2 + 3/2*j.
-3*j*(j - 2)*(j + 1)/4
Let h(f) = -f + 8. Let c be h(5). Suppose 2*i - 1 = 3*o - 5, -2*o + 2*i + 2 = 0. Find s such that 0*s + 0 - 2/5*s**o - 2/5*s**c = 0.
-1, 0
Let s be 21/6 + (-2)/4. Suppose -2 + 2*t**3 + 6*t + 6 + 6*t**2 - s + 1 = 0. Calculate t.
-1
Suppose 0 = -45*h + 41*h + 16. Find g such that 10 + 2*g**2 - h*g - 8*g + 17 - 9 = 0.
3
Let r be 80/(-28) - -3 - 122/(-28). Suppose -7/2*i**2 + r*i - 1 = 0. What is i?
2/7, 1
Let r(h) be the second derivative of -h**9/1512 - h**8/420 + h**6/90 + h**5/60 - h**3/6 + 2*h. Let b(s) be the second derivative of r(s). What is k in b(k) = 0?
-1, 0, 1
Suppose -i**4 - i**5 - i**4 + i**4 = 0. What is i?
-1, 0
Suppose 2*o - o - 3 = 0. Suppose -p - p = 0. Factor 3*m - m**o + m**2 + p*m**2 - 2*m - 1.
-(m - 1)**2*(m + 1)
Let q(d) be the first derivative of d - 1/2*d**4 + 0*d**2 - 3 - d**3. Determine l, given that q(l) = 0.
-1, 1/2
Let s(r) be the first derivative of 2/5*r - 2 + 32/15*r**3 - 8/5*r**2. Factor s(g).
2*(4*g - 1)**2/5
Let f(t) be the second derivative of 3*t**7/7 - 7*t**6/15 - t**5/5 - 27*t. Factor f(g).
2*g**3*(g - 1)*(9*g + 2)
Let t(u) = -u**2 - 6*u + 9. Let a be t(-7). Determine h so that 0*h + 2/5*h**4 + 2/5*h**a + 4/5*h**3 + 0 = 0.
-1, 0
Factor -2/15*g**3 + 2/15 - 2/15*g**2 + 2/15*g.
-2*(g - 1)*(g + 1)**2/15
Find k such that 0*k**4 - 3*k**3 + 20*k**2 + 2*k**5 + k**3 - 24*k**2 + 4*k**4 = 0.
-2, -1, 0, 1
Let b(o) = -3*o**2 - 3*o + 3. Let j be b(0). Factor -6/5*q**2 + 2/5*q**j + 4/5*q + 0.
2*q*(q - 2)*(q - 1)/5
Determine x so that 0 - 4/15*x**4 + 2/15*x**3 - 2/15*x**5 + 0*x + 4/15*x**2 = 0.
-2, -1, 0, 1
Let a be ((-12)/(-9))/((-3)/(-9)). Suppose -f**3 - f**a + 3*f**3 - 4*f**3 = 0. What is f?
-2, 0
Let f(c) = 20*c**3 + 11*c**2 - 17*c - 17. Let i(t) = 7*t**3 + 4*t**2 - 6*t - 6. Suppose 0*q = 4*q - 68. Let s(b) = q*i(b) - 6*f(b). Factor s(v).
-v**2*(v - 2)
Suppose 2*y + 5 - 13 = 0. Let -b**5 - 2*b**5 - y*b**3 + b + 5*b**5 + b = 0. What is b?
-1, 0, 1
Suppose 25*b - 68 = 8*b. Let o(l) be the first derivative of -l - 2/5*l**5 + l**3 - 1/4*l**b + 1 + 1/2*l**2. Factor o(h).
-(h - 1)*(h + 1)**2*(2*h - 1)
Let b(s) be the third derivative of -s**8/84 - 19*s**7/210 - 19*s**6/120 + 11*s**5/30 + 7*s**4/6 - 4*s**3/3 + 7*s**2 - s. Factor b(q).
-(q - 1)*(q + 2)**3*(4*q - 1)
Let i(h) = -h - 1. Let l be i(-5). Factor 0*k - 3*k**3 + 2*k**2 - 2 + l*k**3 - 3*k**3 + 2*k.
-2*(k - 1)**2*(k + 1)
Let i(g) be the third derivative of 1/36*g**4 - 1/45*g**5 + 1/9*g**3 + 1/315*g**7 - 1/90*g**6 + 3*g**2 + 0*g + 0 + 1/504*g**8. Solve i(q) = 0.
-1, 1
Suppose 7 = 4*n - 9. Suppose -v + 6 = n. Factor 6*h**3 - 1 + v*h - 6*h**2 - 2*h**4 + 1.
-2*h*(h - 1)**3
Suppose p + 2*y - 13 = 0, 2*p - 3*y + 22 = 4*p. Let d(m) be the first derivative of 2/9*m**3 + 1/6*m**2 - 1/18*m**6 - 2/15*m**p + 2 + 0*m + 0*m**4. Factor d(o).
-o*(o - 1)*(o + 1)**3/3
Let c(f) be the first derivative of 2 - 1/5*f**2 + 0*f - 7/15*f**3. Let c(i) = 0. Calculate i.
-2/7, 0
Let c = -2144 - -405217/189. Let a(v) be the second derivative of 2*v + 0 + c*v**7 - 2/135*v**6 + 0*v**3 + 1/90*v**5 + 0*v**4 + 0*v**2. Factor a(w).
2*w**3*(w - 1)**2/9
Determine z, given that -5/3*z**5 + 5/3*z**2 + 5/3*z**3 - 5/3*z**4 + 0*z + 0 = 0.
-1, 0, 1
Suppose -3*s + 2 + 4 = 0. Factor 3*l - 3*l + 4 - 3 - l**s.
-(l - 1)*(l + 1)
Let d(s) = 23*s**3 + 2*s + 2. Let c be d(-1). Let f = -21 - c. Solve -1/4*q**f - 1 - q = 0 for q.
-2
Determine z so that 3/8*z**2 - 1/8*z**4 - 1/2*z**3 - 1 + 5/4*z = 0.
-4, -2, 1
Let w = 15 + -15. Let s(y) be the third derivative of 0*y**3 + w + 2*y**2 + 0*y + 1/120*y**4 + 1/300*y**5. Factor s(a).
a*(a + 1)/5
What is x in -6/7*x**3 + 8/7*x**2 + 0 - 2/7*x = 0?
0, 1/3, 1
Let i(n) = -3*n**2 + 15*n + 9. Let z(w) = w**2 - 7*w - 4. Let x(p) = -4*i(p) - 9*z(p). Factor x(o).
3*o*(o + 1)
Let v be 5/3 - (3 + 5 + -7). Let v*p**2 + 0 + 0*p = 0. What is p?
0
Let y be 4 + -4*3/6. Let m(w) be the third derivative of 0*w**4 + 1/135*w**5 + 0*w + 0 + 0*w**3 - 2*w**y - 1/540*w**6. Determine o so that m(o) = 0.
0, 2
Let f(n) = -48*n**3 + 11*n**2 + 9*n + 5. Let b(g) = 144*g**3 - 32*g**2 - 28*g - 16. Let c(r) = -5*b(r) - 16*f(r). Determine k so that c(k) = 0.
-1/6, 0, 1/2
Find d, given that d**2 - 2*d**2 - d**3 + 2*d + 4*d - 4*d = 0.
-2, 0, 1
Suppose 3*a = a + 4. Suppose 4*d - 5*j = 1, a*d - 6*j + 2*j = -4. Let -d*p**4 + p**5 + 2*p**4 + 3*p**4 = 0. What is p?
-1, 0
Let i(a) = 30*a**2 - 150*a - 21. Let x(j) = -3*j**2 + 15*j + 2. Let r(w) = 2*i(w) + 21*x(w). Let r(y) = 0. What is y?
0, 5
Find i, given that -14/17*i + 16/17 - 2/17*i**2 = 0.
-8, 1
Let a = -77/12 - -20/3. Suppose c + 3*r + 7 - 1 = 0, 0 = -3*c + 4*r + 8. Factor 9/4*m**5 + 3*m**4 - 1/2*m**3 + c - m**2 + a*m.
m*(m + 1)**2*(3*m - 1)**2/4
Determine s, given that 0*s - s**4 + 7/6*s**3 - 1/3*s**2 + 0 = 0.
0, 1/2, 2/3
Let w(t) be the first derivative of -t**6/165 - t**5/55 - t**4/66 - 2*t + 2. Let i(s) be the first derivative of w(s). Factor i(c).
-2*c**2*(c + 1)**2/11
Factor -4/11*h - 2/11 - 2/11*h**2.
-2*(h + 1)**2/11
Let f be (-4)/(-6)*1/10. Let c(v) be the third derivative of -1/3*v**3 - 7/24*v**4 + 0 + f*v**5 + 0*v - 3*v**2. Factor c(r).
(r - 2)*(4*r + 1)
Let k = -5 + 3. Let n be k - (2 + -4 - 5). Determine s, given that s**4 + 2*s**5 + 2*s - 4*s**n - 4*s**2 + 3*s**4 = 0.
-1, 0, 1
Let n(l) be the second derivative of 7*l**4/72 + 5*l**3/36 - l**2/6 + 2*l - 1. Let n(b) = 0. Calculate b.
-1, 2/7
Let x(s) be the first derivative of -s**6/6 - s**5/5 + s**4/2 + 2*s**3/3 - s**2/2 - s - 3. Factor x(q).
-(q - 1)**2*(q + 1)**3
Let t be (-9)/(-12) + 27/12. Factor 9*k - 3*k**t + 2*k**3 - 9*k + k**4.
k**3*(k - 1)
Let v(o) = 25*o**3 + 7*o**2 - 13*o + 5. Let r(j) = -74*j**3 - 20*j**2 + 38*j - 16. Let a(c) = 2*r(c) + 7*v(c). What is q in a(q) = 0?
-1, 1/3
Let j be (-42)/9*(-30)/35. Factor 3*d**4 + 2*d**3 + j*d - 4*d - 2*d + d**2 - 4*d**4.
-d*(d - 2)*(d - 1)*(d + 1)
Factor -1 - 3*i**2 + 8 - 4.
-3*(i - 1)*(i + 1)
Factor -31 