 - 2. Determine v so that q(v) = 0.
-1, 0, 1
Factor 5 + 33*i**2 - 1 - 37*i**2.
-4*(i - 1)*(i + 1)
What is g in 14 + 10*g + 6*g**2 - 25 + 15 = 0?
-1, -2/3
Let n = 22 + -16. Suppose 4*h + 2*d - d - 4 = 0, -d - n = -h. Determine j, given that 4*j**3 + 3*j**2 - 5*j**h + 2*j**4 - 2*j**2 - 2*j + 2 - 2*j**5 = 0.
-1, 1
Let j be (-5)/((-10)/8) - (0 + 2). Let c(k) be the second derivative of -1/2*k**j + 0 - 1/3*k**3 - 1/12*k**4 + k. Factor c(o).
-(o + 1)**2
Let m(y) be the first derivative of y**7/210 - y**6/30 + y**5/10 - y**4/6 - y**3 - 10. Let s(c) be the third derivative of m(c). Suppose s(u) = 0. What is u?
1
Let d = 296 - 5917/20. Let f(v) be the second derivative of 1/42*v**7 + 1/10*v**6 + 0*v**2 + 0*v**3 + 0 + v + 1/12*v**4 + d*v**5. Factor f(z).
z**2*(z + 1)**3
Let i(x) be the first derivative of 1/6*x**6 + 0*x**3 + 0*x**2 + 1 + 0*x**5 + 0*x - 1/4*x**4. Factor i(g).
g**3*(g - 1)*(g + 1)
Let g be 1/((-4)/((-4)/5)). Let q(m) be the first derivative of -1 + g*m - 1/20*m**4 - 1/15*m**3 + 1/10*m**2. Factor q(c).
-(c - 1)*(c + 1)**2/5
Let s = -24 + 170/7. Let k be 6/70 + 5/25. Determine r so that -22/7*r**3 - s*r - k + 18/7*r**2 + 8/7*r**4 = 0.
-1/4, 1
Let f(q) = 3*q**4 - q**3 - 3*q**2 - 3*q + 4. Let i(a) = -a**4 + a**3 + a - 1. Let v(n) = -3*f(n) - 12*i(n). Factor v(d).
3*d*(d - 1)**3
Factor -5*i**5 + 0*i**5 + 0*i**4 - 10*i**3 + 7*i**4 + 8*i**4.
-5*i**3*(i - 2)*(i - 1)
Factor 1 - 8*v - 5 + 12*v - v**3 + v**2.
-(v - 2)*(v - 1)*(v + 2)
Let q(w) be the first derivative of -3*w**4/16 + 3*w**2/8 - 14. Factor q(a).
-3*a*(a - 1)*(a + 1)/4
Let v(o) be the second derivative of 0*o**5 - 1/9*o**2 + 0 - 1/135*o**6 + 0*o**3 + 1/27*o**4 - 3*o. Factor v(b).
-2*(b - 1)**2*(b + 1)**2/9
Let u = -117 + 121. What is m in 3/2*m + 1/2*m**2 + 1/2*m**u - 1 - 3/2*m**3 = 0?
-1, 1, 2
Let q(f) = -9*f**3 - 6*f**2. Let k(g) = g**4 - 9*g**3 - 5*g**2 + g. Let w(m) = -3*k(m) + 4*q(m). Let w(i) = 0. Calculate i.
-1, 0
Let r = 39 + -36. Suppose -r*f - 2*f = -10. What is s in 4/3*s**4 + 0*s + 0 + f*s**3 - 4/3*s**2 - 2*s**5 = 0?
-1, 0, 2/3, 1
Let h = -8/177 + 3226/885. Suppose h*o**2 + 0 - 4/5*o = 0. Calculate o.
0, 2/9
Suppose -a - 92 = -2*a. Determine t so that 4*t**4 - 20*t**3 + 7*t**5 + 5*t**5 - 4*t**2 + 92 + 8*t - a = 0.
-1, 0, 2/3, 1
Let n = -439 + 1741/4. Let x = n + 49/12. Factor 0*z**2 + x*z**4 + 0 + 0*z + 0*z**3 + 4/3*z**5.
z**4*(4*z + 1)/3
Factor -13/2*w**2 - 1 - 15/2*w.
-(w + 1)*(13*w + 2)/2
Suppose 15 = 7*j + 1. Factor 2*t + 0 - 9*t**j - 8*t - 1.
-(3*t + 1)**2
Let d = 12 + -10. Find f, given that 4*f**4 - d*f**3 + 8*f + 2*f**5 - 8*f**2 - f**3 - 2*f**3 - f**3 = 0.
-2, 0, 1
Factor 0*h**2 + 0 + 2/11*h**3 + 0*h.
2*h**3/11
Find h, given that 0*h + 2*h**3 + 2/5*h**5 - 8/5*h**4 + 0 - 4/5*h**2 = 0.
0, 1, 2
Suppose -2*u - 1 = -u. Let b be (-1)/(((-2)/(-4))/u). Factor 2*l + 2 - 2 + l**b.
l*(l + 2)
Let k(u) be the third derivative of -1/4*u**4 + 1/40*u**6 - 1/8*u**5 + 0 + 2*u**2 + 1/6*u**3 + 0*u. Let o(y) be the first derivative of k(y). Factor o(g).
3*(g - 2)*(3*g + 1)
Suppose -3 = -3*y + 3. Let i = 12 + -8. Factor -y*l + 5 + i - 2*l**2 - 5.
-2*(l - 1)*(l + 2)
Let i(p) be the first derivative of -9/2*p**2 - p - 9*p**3 - 27/4*p**4 + 2. Find t, given that i(t) = 0.
-1/3
Factor -8*c + 7*c**3 + 4 + 5*c**2 - 4*c**3 - 4*c**3.
-(c - 2)**2*(c - 1)
Suppose 2*i + 1 = 5. Factor -4*p**4 - 11*p**2 + 14*p**3 + 7*p**i - 6*p**4.
-2*p**2*(p - 1)*(5*p - 2)
Let v(a) = -4*a**2 + 4*a + 2. Let o(h) = h + 4 + 0*h - h**2 - 3. Suppose -c - 11 = 2*c - 5*x, 0 = 5*c + 3*x + 7. Let m(k) = c*o(k) + v(k). Factor m(y).
-2*y*(y - 1)
Suppose -g = -4*r + 10 - 0, -14 = -5*r + 2*g. What is a in -12*a**r - 1 - 7*a - 9*a - 3 + 0 = 0?
-1, -1/3
Let q(v) = v + 2. Let k be q(-5). Let t(f) = -f**3 - 4*f**2 - 9*f + 6. Let u(d) = -5*d**2 - 8*d + 6. Let b(r) = k*t(r) + 4*u(r). Factor b(o).
(o - 3)*(o + 1)*(3*o - 2)
Factor 10*v**4 + 6*v**3 - 1 - 4*v**2 - 1 + 2.
2*v**2*(v + 1)*(5*v - 2)
Factor 15*y - 2*y**2 + 3 + 3*y**2 + 15*y**2 + 2*y**2.
3*(2*y + 1)*(3*y + 1)
Determine f, given that -5 + 4*f**3 + 8*f**2 + 9 - 4 = 0.
-2, 0
Find m such that 132*m**2 - 152*m + 25 + 23 - 181*m**3 + 163*m**3 = 0.
2/3, 6
Let f(d) be the third derivative of d**7/525 - d**6/300 + 5*d**2. Factor f(l).
2*l**3*(l - 1)/5
Let h = -7581/28900 - 8/289. Let d = -1/25 - h. Determine t, given that -d*t**2 + 0 + 1/4*t**3 + 0*t = 0.
0, 1
Let a = -15 + 27. Suppose p**3 + 12*p**2 - p**5 - a*p**2 = 0. Calculate p.
-1, 0, 1
Let q(x) be the third derivative of -x**8/392 + 2*x**7/735 + x**6/60 + x**5/105 + 3*x**2. Suppose q(d) = 0. Calculate d.
-1, -1/3, 0, 2
Find c, given that -1/4*c**2 + 0 - 1/4*c = 0.
-1, 0
Let i be (-8)/(-24) + (-2 - (-155)/75). Factor i*w + 0 + 3/5*w**2.
w*(3*w + 2)/5
Find z, given that -1/2*z - 3/2*z**2 - 1/2*z**4 - 3/2*z**3 + 0 = 0.
-1, 0
Let l be (-9 - -10)*(1 - 0). Let b be 4 + 0 - (-3)/(-6). Factor -3/2*n - b*n**3 + 6*n**2 - l.
-(n - 1)**2*(7*n + 2)/2
Determine u, given that 40/9*u**3 + 0 + 4/9*u - 26/9*u**2 = 0.
0, 1/4, 2/5
Let w(y) = -y**2 - 14*y - 9. Let d be w(-13). Let 2*n - 4*n**2 + d*n**3 + 16 - 10*n - 2*n**3 = 0. Calculate n.
-2, 2
Factor 133*l**2 - 7*l - 20 + 0*l - 13*l - 138*l**2.
-5*(l + 2)**2
Factor -1/6*h**3 + 0 + 0*h**2 + 1/6*h.
-h*(h - 1)*(h + 1)/6
Let h = 1 - -1. Let x be 2 + 1 + -3 + h. Factor 8/7*g**3 + 2/7 + 8/7*g + 2/7*g**4 + 12/7*g**x.
2*(g + 1)**4/7
Factor 2/3*t**2 + 0 + 2/3*t**3 - 2/3*t - 2/3*t**4.
-2*t*(t - 1)**2*(t + 1)/3
Let d be ((-96)/(-210))/(-8)*-7. Factor -2/5*b**2 + 4/5 - d*b.
-2*(b - 1)*(b + 2)/5
Let i(q) = q + 8. Let p be 9/(-2)*4/3. Let y be i(p). Factor 0*t + 2*t**y + 0*t - 1 + t.
(t + 1)*(2*t - 1)
Suppose 0 = 4*x + 2*w - 14, 0*x - 3*w + 18 = 3*x. Let u(j) = -j**2 + j - 1. Let q(c) = -5*c**2 + 5*c - 2. Let k(t) = x*q(t) - 4*u(t). Let k(y) = 0. What is y?
-1, 2
Let p be (7/21)/((-1)/(-6)). Solve -4*h**3 + 5*h**p + 0*h**3 + 2*h + 3*h**2 - 6*h**3 = 0 for h.
-1/5, 0, 1
Let x be (-19)/38 - (-2)/(16/6). Factor x*j**2 + 1/2 - 3/4*j.
(j - 2)*(j - 1)/4
Let u(g) be the first derivative of -2*g**5/5 + 25*g**4/2 - 144*g**3 + 704*g**2 - 1024*g - 26. Factor u(h).
-2*(h - 8)**3*(h - 1)
Suppose -16*c + 31*c**4 - 14*c**5 + c**4 + 65*c**3 + 7*c**2 + 21*c**2 + 25*c**3 = 0. Calculate c.
-1, 0, 2/7, 4
Let k be (-1)/(48/(-9) + 4). Solve 1/2 + k*p**3 + 2*p**2 + 7/4*p = 0.
-1, -2/3
Let l(j) be the third derivative of -j**6/48 - j**5/20 + 26*j**2. Find k such that l(k) = 0.
-6/5, 0
Factor 10*x**3 - 32/5*x - 2*x**2 - 8/5.
2*(x - 1)*(5*x + 2)**2/5
Let x(m) = -13*m**2 + 5*m. Let r(n) = -6*n**2 + 2*n. Let w(l) = -9*r(l) + 4*x(l). Let f be w(-2). Find k, given that k**f - 2*k**3 - 2*k**4 + 0*k**3 = 0.
-2, 0
Suppose 2*a = 12 - 2. Let h be (-3)/a*(-14)/21. Factor -2/5*t**3 + 2/5*t**2 - 2/5 + h*t.
-2*(t - 1)**2*(t + 1)/5
Let n(v) = 2*v**3 + v + 1. Let m be n(-1). Let l(g) = g**3 + 3*g**2 - 2. Let x be l(m). Determine q, given that 0*q**4 + 5 - 6*q - 3*q**4 + 6*q**3 - x = 0.
-1, 1
Let b(u) be the second derivative of -1/3*u**2 - 4*u - 2/9*u**3 + 0 + 1/45*u**6 + 0*u**4 + 1/15*u**5. Solve b(n) = 0.
-1, 1
Suppose 13*b = -87 + 87. Factor -1/2*w**2 + w + b.
-w*(w - 2)/2
Find n, given that -39*n**4 + 28*n**2 - 8*n**3 + 11*n**4 - n**3 + n**3 + 8*n = 0.
-1, -2/7, 0, 1
Let o(k) be the first derivative of -6*k**5/35 - 5*k**4/7 - 6*k**3/7 - 2*k**2/7 - 8. Find g such that o(g) = 0.
-2, -1, -1/3, 0
Let f(j) be the third derivative of 0 + 3/20*j**5 - 1/8*j**6 - 3/70*j**7 + 1/28*j**8 + 1/8*j**4 - 4*j**2 + 0*j**3 + 0*j. Suppose f(q) = 0. What is q?
-1, -1/4, 0, 1
Let u(s) be the second derivative of -s**7/14 + 9*s**5/20 - s**4/2 + 2*s + 16. Suppose u(n) = 0. Calculate n.
-2, 0, 1
Let v be (-12)/8*8/(-6). Let u be 9*(-3)/(-18)*v. Factor 3*t + t**4 - u*t.
t**4
Let c(w) be the second derivative of -2*w**4/3 + w**3/2 + 19*w. Solve c(y) = 0.
0, 3/8
Let y = -5 - -8. Factor 15*l**2 - 2 + 12*l**4 + l**3 - l - 5*l**4 - 20*l**y.
(l - 1)**3*(7*l + 2)
Let p = 169 - 279. Let b be 4/6*(-30)/p. Let 2/11*q - b*q**2 + 2/11 - 2/11*q**3 = 0. Calculate q.
-1, 1
Determine h, given that 2/7*h**3 - 1/7*h**4 + 0*h**2 + 0 + 0*h = 0.
0, 2
Let o be 18/5*(-5)/(-2). Solve -t**2 - 2*t**2 + 23*t**4 - 3*t**5 - 32*t**4 - o*t**3 = 0.
-1, 0
What is t in -88/7*t - 74/7*t**4 - 16/7 - 170/7*t**3 - 180/7*t**2 - 12/7*t**5 = 0?
-2, -1, -2/3, -1/2
Let c(r) = -2*r**2 - 13*r - 11. Let w(v) = v**2