**2 = 0. Calculate o.
-5, 1/2
Let k = 32 + -30. Factor 0*d**4 + 0*d - 1/4*d**3 + 0*d**k + 0 + 1/4*d**5.
d**3*(d - 1)*(d + 1)/4
Let z(l) = -l**3 - 9*l**2 - 11*l + 6. Let p be z(-8). Let c be p/18 + (1 - 2). Find t such that -c + 13/3*t + 3*t**3 - 20/3*t**2 = 0.
2/9, 1
Let f(c) = -c**3 - 8*c**2 + 10*c + 9. Let y be f(-9). Suppose -q + 12 - 3 = y. Let 9 - u + u**2 - q = 0. Calculate u.
0, 1
Factor 0 + 1/3*w**4 - 2/3*w + 1/3*w**5 - w**3 - 5/3*w**2.
w*(w - 2)*(w + 1)**3/3
Let u(k) = -24*k**3 - 54*k**2 - 41*k - 1. Let d(a) be the second derivative of -3*a**5/5 - 9*a**4/4 - 7*a**3/2 - 2*a. Let r(c) = 5*d(c) - 3*u(c). Factor r(q).
3*(q + 1)**2*(4*q + 1)
Let g(x) = 5*x**3 - 2*x**2 - 13*x - 10. Let i(a) = 10*a**3 - 5*a**2 - 25*a - 20. Let k(y) = -5*g(y) + 2*i(y). Factor k(h).
-5*(h - 2)*(h + 1)**2
Let b be (-8)/(-20) + (-36)/(-10). Factor -5*u**4 + u**3 - 3*u**2 + 6*u**3 + 2*u**b - u**3.
-3*u**2*(u - 1)**2
Suppose -2*y + 8 = -2*b - 8, -y = -2*b - 11. Let z(m) be the third derivative of -1/21*m**3 - m**2 + 0*m**4 + 0 + 1/210*m**y + 0*m. Factor z(t).
2*(t - 1)*(t + 1)/7
Suppose 82 = -9*t + 82. Let t - 2/3*n**2 - 2*n = 0. Calculate n.
-3, 0
Let i(s) = -s**2 - 21*s - 38. Let m be i(-19). Find h, given that m - 3/2*h**2 - 3/2*h = 0.
-1, 0
Find p such that 4/3*p**2 - 4/3*p**4 + 5/3*p - 2/3 + 4/3*p**5 - 11/3*p**3 = 0.
-1, 1/2, 2
Suppose -13 = 4*i + 5*f - 39, -5*i + 26 = 3*f. Factor -2/7*b**5 + 0 - 2/7*b**3 + 0*b + 0*b**2 - 4/7*b**i.
-2*b**3*(b + 1)**2/7
Let a(b) = -b**3 + 6*b**2 - 3*b - 1. Let g be a(5). Let u be 2/2*(g - 5). Factor -6 + 2*d + 6 + u*d**2 + 2*d**3.
2*d*(d + 1)**2
Let q be 66/44*(-2)/3*-3. Factor 0*t**q + 2/3 + 0*t + 2/3*t**4 - 4/3*t**2.
2*(t - 1)**2*(t + 1)**2/3
Let q(f) be the second derivative of 1/80*f**5 - 5*f + 0 + 0*f**4 - 1/4*f**2 - 1/8*f**3. Solve q(m) = 0.
-1, 2
Let q(v) be the third derivative of v**6/60 + v**5/15 + v**4/12 - 15*v**2. Determine n, given that q(n) = 0.
-1, 0
Let u(i) be the third derivative of -i**8/672 + i**7/420 + i**6/240 - i**5/120 + 14*i**2. Factor u(n).
-n**2*(n - 1)**2*(n + 1)/2
Factor 4/3 - 10/3*d**2 + 4/3*d**3 + 2/3*d.
2*(d - 2)*(d - 1)*(2*d + 1)/3
Let b(q) be the third derivative of 2*q**7/735 - q**6/105 + 2*q**2. Find y such that b(y) = 0.
0, 2
Suppose 26*y + 14 = 14. Factor y - 2/7*o**3 + 0*o + 0*o**2.
-2*o**3/7
Let r be ((-3)/165)/(3/(-186)). Let f = r - 8/11. Solve -4/5*d**2 - 2/5*d**3 + 0 - f*d = 0 for d.
-1, 0
Let f(m) = m + 5. Let k be f(-3). Suppose -2/9*t**4 - 2/9*t**5 + 0*t**k + 0 + 0*t + 0*t**3 = 0. What is t?
-1, 0
Let c(f) be the third derivative of -f**4/12 + 2*f**3/3 + 5*f**2. Let a = -1 - 0. Let b(u) = -u**2 + u - 1. Let q(r) = a*c(r) - 2*b(r). Solve q(s) = 0.
-1, 1
Let b(l) be the first derivative of 5*l**3/3 + 15*l**2/2 - 20*l + 8. Factor b(q).
5*(q - 1)*(q + 4)
Let w(r) = 3*r**4 - 2*r**3 + 2*r - 1. Let o(z) = -z**4 + z**3 - z**2 - z + 1. Let j(a) = 2*o(a) + w(a). Find m such that j(m) = 0.
-1, 1
Let m(b) be the third derivative of b**6/96 - 11*b**5/48 + 175*b**4/96 - 125*b**3/24 + 24*b**2 + b. Find c, given that m(c) = 0.
1, 5
Let v(f) = 4*f**4 - 2*f**3 + 12*f**2 + 4*f - 2. Let r(j) = 3*j**4 - 2*j**3 + 11*j**2 + 5*j - 1. Let d(n) = 6*r(n) - 5*v(n). Factor d(o).
-2*(o - 2)*(o + 1)**3
Let n(k) = -2*k + 28. Let g be n(9). Let h be (3 + g/(-3))/(-1). Factor -h*j**3 - 1/3*j + 0 + 2/3*j**2.
-j*(j - 1)**2/3
Solve -2/7*u**4 - 2*u - 16/7 + 18/7*u**2 + 2*u**3 = 0.
-1, 1, 8
Let w = 5 + 29. Let z = 104/3 - w. What is h in h + z + 1/3*h**2 = 0?
-2, -1
Let m be (-1)/((-1)/(1 + -2)). Let q be m/(-5)*(-10)/(-4). Factor 0*k + 0 + 1/2*k**3 + q*k**4 - 1/2*k**2 - 1/2*k**5.
-k**2*(k - 1)**2*(k + 1)/2
Let s be 1/(-3) + (3 - (-1 - -3)). Factor -8/3*q**4 + 0 + 4*q**3 + s*q + 2/3*q**5 - 8/3*q**2.
2*q*(q - 1)**4/3
Suppose 0*j - 12 = -4*j. Factor 0*x**2 - x**2 + 6*x**3 + j*x**2 + 2*x**4 + 4*x**2 + 2*x.
2*x*(x + 1)**3
Let l(s) be the second derivative of 1/66*s**4 + 0 + 0*s**2 + 3*s + 1/33*s**3. Factor l(d).
2*d*(d + 1)/11
Factor 0 - 1/8*x**4 - 1/2*x**3 - 5/8*x**2 - 1/4*x.
-x*(x + 1)**2*(x + 2)/8
Factor 45/4*i**2 + 3/4 - 21/4*i - 27/4*i**3.
-3*(i - 1)*(3*i - 1)**2/4
Let f(s) = -s**3 - 4*s - 4*s**2 + 4 + 0*s**2 + 0*s**2 + 7*s**2. Let b be f(2). Factor b*g + 1/3*g**2 - 1/3*g**3 - 1/3*g**4 + 0 + 1/3*g**5.
g**2*(g - 1)**2*(g + 1)/3
Let k = -10 + 8. Let p = 4 + k. Factor -3*r - 9*r**5 + 4*r**2 - 3*r**3 - r**p + 3*r - 15*r**4.
-3*r**2*(r + 1)**2*(3*r - 1)
Let p = 44 - 263/6. Let l(m) be the first derivative of 1/9*m**3 - 3 + p*m**2 + 0*m. Factor l(z).
z*(z + 1)/3
Let n(x) be the third derivative of -5/1344*x**8 + 0*x**4 + 0*x**3 + 0 - 3*x**2 + 0*x - 1/240*x**6 - 1/120*x**7 + 0*x**5. Factor n(h).
-h**3*(h + 1)*(5*h + 2)/4
Let m be 4/12*((-60)/(-16) + -3). Find y, given that -m*y**2 - 1 - y = 0.
-2
Let x(r) be the first derivative of -1/6*r**2 + 1/30*r**5 + 5/18*r**3 + 3 - 1/6*r**4 + 0*r. Let x(v) = 0. Calculate v.
0, 1, 2
Let f(u) = u**2 + 11*u + 3. Let n be f(-11). Factor -h**3 - 2*h**n + 7*h**2 - h**2.
-3*h**2*(h - 2)
Let i(o) = -o - 6. Suppose 8 = -4*f, 3*f - 5*f = 5*r + 44. Let l be i(r). What is q in -2/3*q**3 + 0 + 2/3*q**l + 2/3*q - 2/3*q**4 = 0?
-1, 0, 1
Solve 3/5*b**4 + 6/5*b + 0*b**2 - 3/5 - 6/5*b**3 = 0.
-1, 1
Let b(h) be the third derivative of 0*h**4 - 1/126*h**7 - 1/120*h**6 + 0*h**3 + 0 + 0*h - 2*h**2 + 1/90*h**5. Let b(d) = 0. Calculate d.
-1, 0, 2/5
Let g = 437/356 + 2/89. Let p = 5 + -2. Find r such that -1/4*r**p - g*r**2 - 2*r - 1 = 0.
-2, -1
Determine b so that -23*b**3 + 19*b**3 + 1 + 4*b + 3 - 4*b**2 = 0.
-1, 1
Let l be 0*1/(-4 - -1). Solve 4/9*c - 2/9*c**4 + l*c**2 - 4/9*c**3 + 2/9 = 0.
-1, 1
Let p = -1/167 - -13531/668. Factor p*b**3 - 9*b - 6 + 27/2*b**2.
3*(3*b - 2)*(3*b + 2)**2/4
Let d(p) be the first derivative of 4 - 1/5*p**2 + 1/5*p + 1/15*p**3. Solve d(m) = 0.
1
Let g(n) be the third derivative of -n**8/840 - 2*n**7/175 - 13*n**6/300 - 2*n**5/25 - n**4/15 + 11*n**2. Factor g(q).
-2*q*(q + 1)**2*(q + 2)**2/5
What is q in -2/3*q**2 + 8/15*q**3 + 0 - 2/15*q**4 + 4/15*q = 0?
0, 1, 2
Let h be (3 + -43)/(-8) - 3. Find g such that 13/3*g**h + 40/9*g + g**3 + 4/3 = 0.
-3, -2/3
Let u(x) = -53*x**3 + 40*x**2 - 11*x. Let f(o) = 107*o**3 - 80*o**2 + 23*o. Let y(n) = -6*f(n) - 14*u(n). Solve y(t) = 0.
0, 2/5
Let g be 0 - 1 - (1 + -1). Let r(z) = z**2 - z - 1. Let s(w) = -5*w**3 + 2*w**3 - 6 + 4*w**2 + w**3 - 2*w. Let v(l) = g*s(l) + 6*r(l). Solve v(f) = 0.
-2, 0, 1
Let p be 2/4 - (-45)/10. Let b(d) be the third derivative of 1/12*d**4 + 1/30*d**p + 0 - 1/3*d**3 - 1/60*d**6 + 2*d**2 + 0*d. Factor b(m).
-2*(m - 1)**2*(m + 1)
Let i(w) be the third derivative of -w**7/280 + w**6/60 - w**5/40 - w**3/6 - 3*w**2. Let d(t) be the first derivative of i(t). Solve d(v) = 0.
0, 1
Suppose g - 4 = -4*g - 2*m, -g + 2*m - 4 = 0. Factor 2/15*k + 2/5*k**2 + g + 4/15*k**3.
2*k*(k + 1)*(2*k + 1)/15
Let m(u) be the third derivative of -u**5/30 - u**4/54 - 13*u**2. Solve m(k) = 0 for k.
-2/9, 0
Let w(f) be the third derivative of -f**7/70 - f**6/10 - 3*f**5/10 - f**4/2 - f**3/2 + 3*f**2. Let w(g) = 0. Calculate g.
-1
Let x be -3 - -4 - (1 - 2). Let j(w) be the second derivative of 0 - 1/30*w**3 + 1/100*w**5 + 0*w**4 + 0*w**x + 3*w. Factor j(q).
q*(q - 1)*(q + 1)/5
Let p(f) be the second derivative of 2*f**6/15 - 2*f**4/3 + 2*f**2 + 4*f. Factor p(b).
4*(b - 1)**2*(b + 1)**2
Let o(a) be the third derivative of -a**5/110 + 3*a**4/44 - 2*a**3/11 + 22*a**2. Factor o(n).
-6*(n - 2)*(n - 1)/11
Let z = 2/53 - -49/106. Factor -q + z*q**2 + 1/2.
(q - 1)**2/2
Suppose h - 4 = -2. Let d(y) be the second derivative of 0*y**h - 1/80*y**5 + 0 - 3*y - 1/120*y**6 + 1/24*y**3 + 1/48*y**4. Factor d(r).
-r*(r - 1)*(r + 1)**2/4
Let p(k) be the second derivative of k**3/3 + k**2 - 3*k. Let t(l) = l**2 - 4*l - 5. Let s(v) = 5*p(v) + 2*t(v). Factor s(j).
2*j*(j + 1)
Let g be 5301/(-840) + 4/14. Let o = -45/8 - g. Factor -v**2 + o - 2/5*v**3 - 1/5*v.
-(v + 1)*(v + 2)*(2*v - 1)/5
Let a = -85 + 87. Let z(o) be the first derivative of -1/6*o**6 + 2/3*o**3 - 5/4*o**4 + 0*o**2 + 4/5*o**5 - a + 0*o. Factor z(q).
-q**2*(q - 2)*(q - 1)**2
Let v = -1102/7 - -158. Factor v - 6/7*p + 2/7*p**2.
2*(p - 2)*(p - 1)/7
Let c(f) be the first derivative of 0*f**4 + 0*f + f**2 - 2 + 1/60*f**5 - 1/6*f**3. Let t(a) be the second derivative of c(a). Solve t(v) = 0 for v.