 - (-6)/42. Let t(v) be the third derivative of 0 + 0*v**3 + 0*v + 1/735*v**7 - 3*v**s + 1/42*v**5 - 1/42*v**4 - 1/105*v**6. Factor t(p).
2*p*(p - 2)*(p - 1)**2/7
Let u(t) = 19*t**3 - 48*t**2 - 49*t + 20. Let z(m) = -37*m**3 + 96*m**2 + 97*m - 41. Let a(h) = 5*u(h) + 2*z(h). Factor a(v).
3*(v - 3)*(v + 1)*(7*v - 2)
Factor 3*i**2 + 134 - 134 - 6*i.
3*i*(i - 2)
Suppose -24 = -3*r - 3*v, -8*r + 4*v + 40 = -3*r. Factor -3 - r*z**3 + 3*z**2 + 6*z + 2*z**5 + 3 - 4 + z**2.
2*(z - 1)**3*(z + 1)*(z + 2)
Let r(b) = b**2 + b + 6. Let s be r(6). Let a be ((-6)/(-4))/(18/s). Factor 2*l**4 - l**2 - 3*l**4 - 2*l**a - 5*l**3 + l.
-l*(l + 1)**2*(3*l - 1)
Let x = 117 + -233/2. Factor x*p + 1 + 19/2*p**3 - 15/2*p**2 - 7/2*p**4.
-(p - 1)**3*(7*p + 2)/2
Let k(t) = 15*t**2 + 5*t + 8. Let y(l) = -2*l - 20 + 0*l - 7*l**2 + 16. Let i(g) = -6*k(g) - 13*y(g). What is o in i(o) = 0?
2
Let h be (13 + -9 - (-7)/(-2))/1. Factor 0 + 1/2*u - h*u**2.
-u*(u - 1)/2
Let v be 5*(-42)/(-20) - 10. What is o in v*o + 1/2 - 1/2*o**3 - 1/2*o**2 = 0?
-1, 1
Let k = -18 - -18. Let j(g) be the third derivative of -2*g**2 + 0*g**3 + 0*g + 1/108*g**4 + k*g**7 - 1/270*g**6 + 0*g**5 + 0 + 1/1512*g**8. Factor j(z).
2*z*(z - 1)**2*(z + 1)**2/9
Let g(u) = -u**3 - 12*u**2 - 12*u - 8. Let q be g(-11). Let t(k) be the second derivative of 1/6*k**q + 0 - 1/4*k**2 - k - 1/24*k**4. Factor t(f).
-(f - 1)**2/2
Let a(o) = -o**3 - 10*o**2 + 10*o + 1. Let c be a(-11). Factor c*u**2 - 6*u**3 + 12*u**2 - 32*u - 2*u**3 + 16 + u**4.
(u - 2)**4
Solve 2/3*d - 2/9*d**2 - 4/9 = 0.
1, 2
Let v be -12*(-1)/(3/(-3)). Let g be (-1 - v/20)*-3. Factor 2/5*h**4 - 6/5*h**3 + g*h**2 + 0 - 2/5*h.
2*h*(h - 1)**3/5
Solve -2/15*k**2 + 2/15*k**5 + 2/15*k**4 + 0 + 4/15*k - 2/5*k**3 = 0.
-2, -1, 0, 1
Let b(u) = 2*u**2 + 4*u + 7. Suppose 0 = -5*r + 19 + 1. Let o(c) = c**2 + 2*c + 4. Let n(a) = r*b(a) - 7*o(a). Factor n(t).
t*(t + 2)
Let m = 773/36 + -85/4. Let h be 3/(-3 - (-6 - -2)). Suppose m*r + 4/9*r**2 - 4/9*r**h - 2/9 - 2/9*r**4 + 2/9*r**5 = 0. Calculate r.
-1, 1
Suppose 2*y**2 - 5*y**3 + 3*y**2 + 5*y**4 + 0*y**4 - 5*y**3 = 0. Calculate y.
0, 1
Let q(m) be the first derivative of m**6/120 - m**5/40 + 8*m**3/3 - 1. Let h(a) be the third derivative of q(a). Factor h(k).
3*k*(k - 1)
Let i(r) be the third derivative of r**9/30240 + r**8/5040 + r**7/2520 + r**5/20 + r**2. Let l(m) be the third derivative of i(m). Find d, given that l(d) = 0.
-1, 0
Solve -6/7*j - 2/7*j**2 + 0 - 2*j**4 + 22/7*j**3 = 0.
-3/7, 0, 1
Let w(m) = -m + 1. Let u(n) = -5*n**2 - 43*n - 77. Let q(c) = -u(c) + 3*w(c). Factor q(k).
5*(k + 4)**2
Let r(f) be the second derivative of -2/21*f**7 + 0*f**4 + 0*f**2 + 0*f**6 + 1/5*f**5 - 4*f + 0 + 0*f**3. Determine z so that r(z) = 0.
-1, 0, 1
Let k(n) = -8*n**3 - n + 2. Let f be k(1). Let q be 2/f - (-26)/42. Solve -2/3 + 1/3*p**2 + q*p**4 - p**3 + p = 0.
-1, 1, 2
Let l be 3 + (-28 - -2)*9/81. Let n(w) be the third derivative of -l*w**4 + 0*w**3 + 0 - 2*w**2 - 4/45*w**5 + 0*w - 1/315*w**7 - 1/36*w**6. Factor n(f).
-2*f*(f + 1)*(f + 2)**2/3
Let d(f) be the second derivative of -f**7/84 - f**6/30 + f**4/12 + f**3/12 + 5*f. Factor d(b).
-b*(b - 1)*(b + 1)**3/2
Let o(d) be the first derivative of -14*d**5/5 + 23*d**4/2 - 18*d**3 + 13*d**2 - 4*d - 7. Factor o(g).
-2*(g - 1)**3*(7*g - 2)
Let x(u) be the first derivative of 0*u**4 + 2/5*u**5 - 2 + 0*u - 2/3*u**3 + 1/2*u**2 - 1/6*u**6. Factor x(r).
-r*(r - 1)**3*(r + 1)
Let v(t) be the third derivative of 7*t**5/20 - 5*t**4/8 - t**3 - 2*t**2. Suppose v(h) = 0. What is h?
-2/7, 1
Suppose -9*x + 4*x + 8 = 3*n, -2*x - 5*n = 12. Determine q so that -1/2*q**3 + 1/2*q + 3/2*q**x + 0 - 3/2*q**2 = 0.
-1, 0, 1/3, 1
Let m(u) be the first derivative of -4*u**5/15 - 2*u**4/3 + 4*u**2/3 + 4*u/3 + 8. Determine v so that m(v) = 0.
-1, 1
Let u(b) be the second derivative of b**6/15 + b**5/10 - b**4 + 3*b - 1. Factor u(j).
2*j**2*(j - 2)*(j + 3)
Let a(n) be the third derivative of n**5/60 + n**4/12 + n**3/3 - 6*n**2. Let k be a(-2). Find i such that 8/5*i**k + 56/5*i**3 + 98/5*i**4 + 0 + 0*i = 0.
-2/7, 0
Let v(b) be the first derivative of b**4/18 - 2*b**3/9 + b**2/3 - b + 2. Let g(z) be the first derivative of v(z). Factor g(p).
2*(p - 1)**2/3
Let f = 7 + -5. Let 3 - f*t - 1 + t - t**2 + 0 = 0. What is t?
-2, 1
Let m(x) be the first derivative of x**6/40 - x**5/20 - x**4/4 + 7*x**2/2 + 11. Let r(s) be the second derivative of m(s). Solve r(l) = 0 for l.
-1, 0, 2
Determine b so that 0 - 5/6*b - 35/6*b**2 = 0.
-1/7, 0
Let y(l) be the second derivative of -l**5/40 + 7*l**4/24 - 2*l**3/3 - 4*l**2 - 13*l. Factor y(x).
-(x - 4)**2*(x + 1)/2
Solve 0*k**2 + 8*k - 6 + k - 3*k**2 = 0 for k.
1, 2
Let u(i) be the first derivative of -i**7/168 + i**5/80 - 4*i - 1. Let h(o) be the first derivative of u(o). Solve h(d) = 0 for d.
-1, 0, 1
Let c(n) be the second derivative of n**8/2520 - n**7/1260 + 2*n**3/3 + 4*n. Let h(p) be the second derivative of c(p). Find i, given that h(i) = 0.
0, 1
Suppose -6*w = -2*w - 8. Factor 2 - 34*o**2 + 46*o**w - 2*o**3 - 3*o**3 - 9*o.
-(o - 1)**2*(5*o - 2)
Let h be ((-26)/6 - -3)/(30/(-9)). Factor -h*k**2 + 0*k + 2/5.
-2*(k - 1)*(k + 1)/5
Let d(b) be the second derivative of -b**4/18 + b**2/3 - b. Factor d(r).
-2*(r - 1)*(r + 1)/3
Solve 2/11*o**2 - 16/11*o - 18/11 = 0.
-1, 9
Find z, given that 17*z**2 - 4*z**2 - 8*z**2 - 10*z = 0.
0, 2
Let b be (18/(-60))/(6/1808). Let d = -90 - b. What is j in -d*j**3 - 4/5 + 6/5*j + 0*j**2 = 0?
-2, 1
Let y(t) be the second derivative of 0 - 1/36*t**4 + 1/30*t**5 + 0*t**2 + 0*t**3 - 1/90*t**6 - t. Solve y(w) = 0 for w.
0, 1
Determine w, given that 36/7 + 12/7*w + 1/7*w**2 = 0.
-6
Let i = 245/51 + -25/17. Let y(c) be the first derivative of -3 - 1/2*c**4 + i*c**3 - 4*c - 6/5*c**5 + c**2. Solve y(s) = 0.
-1, 2/3, 1
Let k be ((-228)/(-190))/((-18)/(-20)). Factor -2/3*x**2 + k*x + 0.
-2*x*(x - 2)/3
Let f(w) = w**2 + w + 1. Let j(l) = l**2 + 10*l - 14. Let t(k) = 2*f(k) - j(k). Factor t(d).
(d - 4)**2
What is q in -24/5*q**2 - 17/5*q**3 - 2/5 - 13/5*q - 4/5*q**4 = 0?
-2, -1, -1/4
Let c(f) be the first derivative of -6 - f**4 + 8/3*f**3 + 0*f - 2*f**2. Suppose c(i) = 0. What is i?
0, 1
Let s(n) be the first derivative of -n**6/180 - 2*n**3/3 + 3. Let k(j) be the third derivative of s(j). Factor k(a).
-2*a**2
Let d be 0 - -3 - 391/136. Let o(u) be the second derivative of -3*u - d*u**2 + 0 - 1/8*u**3 - 1/16*u**4 - 1/80*u**5. Factor o(a).
-(a + 1)**3/4
Let a(p) be the third derivative of 0*p - 1/225*p**5 + 0*p**3 + 2/1575*p**7 + 1/840*p**8 + 0 - 1/300*p**6 + 0*p**4 - 4*p**2. Let a(l) = 0. What is l?
-1, -2/3, 0, 1
Let r(d) be the third derivative of d**5/360 - d**3/36 - 10*d**2. Factor r(o).
(o - 1)*(o + 1)/6
Suppose 3*z + z = 56. Factor z*j**2 + 4*j + 4*j**3 + 0 - 2 + 4*j**3.
2*(j + 1)**2*(4*j - 1)
Factor -9*x - x + 38*x**2 - 44*x**2 - 4.
-2*(x + 1)*(3*x + 2)
Let k(t) be the third derivative of -t**6/360 + t**5/90 + t**4/18 - 4*t**3/9 - 20*t**2. Factor k(v).
-(v - 2)**2*(v + 2)/3
Let s be (-133)/(-308) + (-4)/22. Let t(g) = -g**2 - 4*g + 7. Let c be t(-5). Find o such that 1/4*o**c + s*o + 0 = 0.
-1, 0
Let n be (-30)/(-18) - 2/(-6). Suppose -5*r**2 - 3*r**3 + 1 + 3*r + 6*r**n + 0*r**2 - 2*r**4 = 0. Calculate r.
-1, -1/2, 1
Let t = -1/127 + 157/3810. Let c(m) be the second derivative of 0*m**2 - m + t*m**3 + 0 - 1/60*m**4. Determine r so that c(r) = 0.
0, 1
Let j(b) be the first derivative of -2*b**3/3 - b**2 + 4*b + 49. Let j(w) = 0. What is w?
-2, 1
Find c such that -5/2*c**3 + 0*c**2 - 5 + 15/2*c = 0.
-2, 1
Suppose k = 5*k - 2*a - 18, 2*k + 4*a = -6. Let f be k*(-2 - 3/(-1)). Factor 2/3*l + 0*l**2 + 0 - 2/3*l**f.
-2*l*(l - 1)*(l + 1)/3
Let x(g) be the second derivative of 2*g**6/15 - 3*g**5/5 + g**4 - 2*g**3/3 + 11*g. Factor x(h).
4*h*(h - 1)**3
Let o be (-3)/(-1) + 0 + 0 - 0. Solve -1/2*a + a**o - a**2 + 1/2 - 1/2*a**5 + 1/2*a**4 = 0 for a.
-1, 1
Let s(t) = -2*t + 22. Let k be s(9). Let i(m) be the second derivative of 0*m**2 + 0*m**3 + 0 - m - 1/42*m**k. Factor i(r).
-2*r**2/7
Let c(b) = -43*b**2 + 34*b + 2. Let x be ((-7)/3)/((-1)/3). Let i(w) = -29*w**2 + 23*w + 1. Let f(d) = x*i(d) - 5*c(d). Factor f(h).
3*(h - 1)*(4*h + 1)
Let i(q) be the first derivative of -q**6/75 + q**5/25 - q**4/30 + q + 1. Let w(d) be the first derivative of i(d)