- 12 - 6*t**2.
(t - 1)*(t + 1)*(5*t - 2)
Factor -14/3*b**2 - 98/9*b**3 + 16/3*b - 8/9.
-2*(b + 1)*(7*b - 2)**2/9
Let f(t) be the third derivative of 0 + 1/30*t**5 + 0*t - 1/105*t**7 - 7*t**2 + 0*t**6 + 0*t**3 + 0*t**4. Factor f(a).
-2*a**2*(a - 1)*(a + 1)
Let i(f) = f. Let u be i(2). Suppose -k = u*k - 15. Solve -b**3 + b**k + 3*b**4 + 2*b**3 - b**4 = 0.
-1, 0
Factor 2*o**3 - 100*o + 100*o + 2*o**4.
2*o**3*(o + 1)
Let m(a) be the second derivative of a**4/6 + 14*a**3/3 + 49*a**2 - 6*a + 4. Factor m(q).
2*(q + 7)**2
Suppose 26/15*l + 8/15 + 2/5*l**2 = 0. Calculate l.
-4, -1/3
Let i(p) be the first derivative of 3*p**6/2 + 51*p**5/5 + 63*p**4/4 - 9*p**3 + 20. Factor i(z).
3*z**2*(z + 3)**2*(3*z - 1)
Suppose 0 = 2*r + 2*s - 2, -4*s = -5*r - 6*s + 8. Let -2/5*b - 2/5*b**4 + 2/5*b**3 - 4/5 + 6/5*b**r = 0. Calculate b.
-1, 1, 2
Let h(l) be the first derivative of 1/2*l**2 - 1/12*l**4 + 0*l**3 + 3 + 2/3*l. Factor h(t).
-(t - 2)*(t + 1)**2/3
Let m(h) be the second derivative of 1/6*h**3 + 0*h**2 + 0 + 5*h - 1/48*h**4. Solve m(p) = 0.
0, 4
Factor -12*r + 7*r + 6*r - 34*r**2 + 10*r**3 + 11*r.
2*r*(r - 3)*(5*r - 2)
Factor 4/13*z + 14/13*z**4 + 32/13*z**3 + 0 + 22/13*z**2.
2*z*(z + 1)**2*(7*z + 2)/13
Let u(s) be the first derivative of s**4/2 - 12*s**3 + 17*s**2 + 58. Find x such that u(x) = 0.
0, 1, 17
Factor 10*b**2 + 2 - 1 + 5*b**5 - 15*b**3 - 1.
5*b**2*(b - 1)**2*(b + 2)
Suppose -43*o - 40 = -51*o. Factor -2/11*b**o - 4/11*b**3 + 6/11*b - 6/11*b**4 + 4/11*b**2 + 2/11.
-2*(b - 1)*(b + 1)**4/11
Let n be 1*3/(-18)*-3. Let i be 2/10 + 3/(-15). Suppose i*u + 1/2 - n*u**2 = 0. What is u?
-1, 1
Let y(d) be the second derivative of -d**7/63 + d**6/45 + d**5/30 - d**4/18 - 4*d. Factor y(f).
-2*f**2*(f - 1)**2*(f + 1)/3
Let b(x) be the second derivative of 0*x**2 - 1/51*x**6 + 0*x**3 + 25/357*x**7 - 8/85*x**5 + 0 - x - 2/51*x**4. Let b(c) = 0. What is c?
-2/5, 0, 1
Suppose -35 = -4*z - 3*i, 4*i + 56 = -0*z + 4*z. Let y be 10/(-55) + 2/z. Factor y - 2/5*x**2 + 2/5*x.
-2*x*(x - 1)/5
Let q be (-3)/(-15) - (-14)/5. Suppose 0 = 3*u - 1 - 5. Solve -8*t**2 + u*t + 4*t - 3*t**2 + 2 + q*t**2 = 0 for t.
-1/4, 1
Let l(k) be the first derivative of 4*k**5/5 - 2*k**4 + 4*k**3/3 - 6. Factor l(h).
4*h**2*(h - 1)**2
Determine v, given that v**5 - 32*v - v**2 + 40*v - 4 + 2*v**4 - 5*v**3 - v**4 = 0.
-2, 1
Let d(w) = -5*w**3 + 5*w**2 + 5*w - 5. Let z(y) = 4*y**3 - 4*y**2 - 4*y + 4. Let j(i) = -6*d(i) - 7*z(i). Factor j(a).
2*(a - 1)**2*(a + 1)
Factor 12*i**4 - 18*i**3 - 14*i**4 + 18*i**2 - 2*i**2 + 4*i**3.
-2*i**2*(i - 1)*(i + 8)
Suppose 1/4*p - 1/4*p**2 + 1/2 = 0. What is p?
-1, 2
Let q(o) be the first derivative of o**6/360 - o**5/90 + o**4/72 - o**2/2 - 2. Let h(i) be the second derivative of q(i). Let h(g) = 0. What is g?
0, 1
Let v = 21 + -17. Suppose 0*m**5 - 6*m**v + 2*m - 2*m**5 + 4*m**2 + 2*m**4 = 0. What is m?
-1, 0, 1
Let o = -17 - -764/45. Let z = 19/45 + o. Find u, given that 2/5*u - z*u**2 + 0 - 2/5*u**3 + 2/5*u**4 = 0.
-1, 0, 1
Let v(l) be the third derivative of -l**5/390 + 4*l**3/39 + 4*l**2. Factor v(k).
-2*(k - 2)*(k + 2)/13
Let a be -1 + (-4 - (-1 - 6)). Let w be ((a/(-5))/(-2))/1. Find f, given that 1/5 + w*f - 1/5*f**3 - 1/5*f**2 = 0.
-1, 1
Let l(i) be the first derivative of i**5/25 - i**4/10 + 6. Factor l(w).
w**3*(w - 2)/5
Factor f - 7*f**2 + 2 + 2 + 3*f**2 - 3*f + 2*f**3.
2*(f - 2)*(f - 1)*(f + 1)
Let i(v) = -11*v**3 + 29*v**2 - 46*v - 80. Let w(j) = 21*j**3 - 59*j**2 + 91*j + 160. Let r(m) = -11*i(m) - 6*w(m). Factor r(b).
-5*(b - 4)**2*(b + 1)
Let a(p) = -p**2 - 2*p. Let u be a(-6). Let w = -166/7 - u. Factor 0 + 0*h - w*h**2.
-2*h**2/7
Factor 8/7*d**2 - 4/7*d**4 + 0*d + 4/7*d**3 + 0.
-4*d**2*(d - 2)*(d + 1)/7
Let q = 101/5 - 799/45. Determine y so that 0 + 14/9*y**4 + 32/9*y**3 + 4/9*y + q*y**2 = 0.
-1, -2/7, 0
Let s(a) = a**2 + 14*a - 145. Let b be s(-21). Let y be (((-4)/2)/4)/(-2). Determine z so that -y*z**b - 1/4 + 1/2*z = 0.
1
Suppose 11*d = 10*d - 2, -12 = -2*y + 4*d. Find q, given that 3/5*q**y - 6/5 + 3/5*q = 0.
-2, 1
Let z be ((-3)/6)/(1/(-6)). Suppose -3*l**2 - z*l**3 + 3*l - 3*l**2 + 0*l**2 + 8 - 2 = 0. Calculate l.
-2, -1, 1
Let v(f) be the third derivative of f**8/5600 - f**7/1400 + f**5/200 + f**4/24 + f**2. Let t(y) be the second derivative of v(y). Find g, given that t(g) = 0.
-1/2, 1
Let n(p) = -p + 14. Suppose 6*m - 50 = m. Let i be n(m). Factor -2*t**4 + 2*t**3 + t**4 - t**i + 2*t**5 - 6*t**3.
2*t**3*(t - 2)*(t + 1)
Let r(q) be the first derivative of q**4/4 - 8*q**3/9 + 2*q**2/3 - 4. Factor r(g).
g*(g - 2)*(3*g - 2)/3
Let q(t) be the first derivative of 3*t**4/4 + 7*t**3 + 45*t**2/2 + 27*t + 4. What is m in q(m) = 0?
-3, -1
Suppose -3*x - 2*s + 16 = -0*s, -5*s = -2*x - 21. Factor -w**x + 0*w**3 - 2*w - 2*w**3 - 3*w**2.
-2*w*(w + 1)**2
Let k(z) = -10*z**3 - z**2 - 2*z. Let h(s) = s**3. Let l(y) = -44*h(y) - 4*k(y). Factor l(b).
-4*b*(b - 2)*(b + 1)
Find d, given that d**2 + 1 + 2 - 5 + d**2 = 0.
-1, 1
Let t = 471/7630 - 1/218. Let u(m) be the first derivative of 1/14*m**4 - 1/21*m**6 - 2/21*m**3 + 0*m**2 - 2 + 0*m + t*m**5. Factor u(n).
-2*n**2*(n - 1)**2*(n + 1)/7
Let i(o) be the second derivative of -o**5/210 + o**4/42 - o**3/21 + 2*o**2 - 6*o. Let r(k) be the first derivative of i(k). Let r(t) = 0. Calculate t.
1
Let a = 5/6 + -2/3. Let m(h) be the second derivative of 2*h - a*h**3 + 0*h**2 - 5/12*h**4 + 0 - 1/5*h**5. Factor m(z).
-z*(z + 1)*(4*z + 1)
Suppose 4 = -r - 4. Let s = 13 + r. Solve 0*m + 2*m - 4*m**2 - s*m + 2*m = 0 for m.
-1/4, 0
Let n be 2/((-8)/(-15)) + 9/(-12). Let f(m) be the first derivative of -4*m - n - 2/3*m**3 - 3*m**2. Factor f(h).
-2*(h + 1)*(h + 2)
Let q(n) be the third derivative of n**7/735 + n**6/420 - n**5/105 + 12*n**2. Let q(h) = 0. Calculate h.
-2, 0, 1
Let i(b) be the second derivative of b**7/84 - b**6/10 + 11*b**5/40 - b**4/12 - b**3 + 2*b**2 - 5*b. Factor i(t).
(t - 2)**3*(t - 1)*(t + 1)/2
Let p = 6064/7 + -864. Determine a so that -4/7 - a**2 - p*a = 0.
-2, -2/7
Suppose -2*x**3 + 3*x + 4*x**3 + 4*x**2 - 5*x**3 - 3*x**2 - 2 + x**4 = 0. Calculate x.
-1, 1, 2
Let v(l) be the second derivative of 5*l**8/1344 + l**7/105 + l**6/480 - l**5/120 + 2*l**2 + 2*l. Let s(w) be the first derivative of v(w). Factor s(o).
o**2*(o + 1)**2*(5*o - 2)/4
Let l(j) be the third derivative of 0 + 0*j**3 + 0*j**4 - 2*j**2 - 1/180*j**5 + 0*j. Let l(h) = 0. Calculate h.
0
Factor -7/8*i**3 + 27/8*i - 15/4*i**2 + 5/4.
-(i - 1)*(i + 5)*(7*i + 2)/8
Suppose 0*j - 2 = 3*q - 2*j, -2*q - 4 = -4*j. Let o(g) be the first derivative of 0*g**2 + 2/9*g**3 - 2/15*g**5 + 3 + q*g + 0*g**4. Let o(d) = 0. What is d?
-1, 0, 1
Let l(u) = -3*u**2 + 4*u - 1. Let k(n) = 4*n**2 - 5*n + 1. Let d(b) = 2*k(b) + 3*l(b). Factor d(y).
-(y - 1)**2
Let j = 2101/20 + -105. Let f(t) be the first derivative of -j*t**5 + 2 + 0*t**2 + 1/24*t**6 + 0*t + 1/12*t**3 - 1/16*t**4. Solve f(k) = 0 for k.
-1, 0, 1
Let w(j) be the second derivative of 0*j**2 + 0*j**5 + 0*j**4 + 2*j + 0 + 1/60*j**6 + 0*j**3 + 1/84*j**7. Find u, given that w(u) = 0.
-1, 0
Suppose 5*t - 63 = -13. Suppose -4*q - 5*r - t = 7, -3*q + 2*r + 16 = 0. Factor 2*v**3 + 0*v**2 + 2*v**2 - 4*v - 4*v**q.
2*v*(v - 2)*(v + 1)
Factor 2/9*y**2 - 2/9*y**3 + 2/9*y - 2/9.
-2*(y - 1)**2*(y + 1)/9
Let z be (-14)/(-8) + 26/104. What is g in z*g - 7/6*g**3 - 4/3 - 1/2*g**4 + g**2 = 0?
-2, 2/3, 1
Let o(q) be the first derivative of -q**5/210 + q**4/42 - q**3/21 - 7*q**2/2 + 7. Let l(c) be the second derivative of o(c). Let l(g) = 0. Calculate g.
1
Let m be 2/5 - (-8)/(-20). Let l(i) = i + 2. Let p be l(m). Let -5*o**2 - 2*o + 3*o**2 + o**p = 0. What is o?
-2, 0
Let a(n) = -n**3 - 14*n**2 + 4. Let i be a(-14). Factor -15*w**4 - 6*w**2 + 21*w**5 + 31*w**3 - 18*w**4 + 2*w**3 - 15*w**i.
3*w**2*(w - 1)**2*(7*w - 2)
Let v(y) be the third derivative of -y**10/680400 + y**8/90720 - y**5/60 + 6*y**2. Let u(b) be the third derivative of v(b). Factor u(c).
-2*c**2*(c - 1)*(c + 1)/9
Let c = 0 - 2. Let a be (-65)/(-50) - c/(-4). Factor -2/5*m + 2/5*m**5 + 0 + 0*m**3 + 4/5*m**4 - a*m**2.
2*m*(m - 1)*(m + 1)**3/5
Let m(b) be the first derivative of -2*b**5/25 + 2*b**3/5 + 2*b**2/5 + 9. Suppose m(d) = 0. Calculate d.
-1, 0, 2
Let w be 0 + (6 - (-1 + 1)). Suppose -w*v = -2*v - 8. Let 3*o**3 + o**5 - o - 2*o**v - 3*o**3 +