uppose 1/2*j**2 - 1/4*j**b + 0*j**3 - 1/4 + 0*j = 0. Calculate j.
-1, 1
Let b(c) = 3*c - 19. Let k be b(8). Suppose 83 = k*u + 23. Factor 12*p**2 - u*p + 2*p**3 + 0*p**2 - 6*p**3 + 4.
-4*(p - 1)**3
Let k(l) = -l**3 - 5*l**2 - 5*l - 5. Let g be k(-4). Let b = g + 3. Factor 1 + 4*c**2 - b*c**2 - 2*c**2 - c**2.
-(c - 1)*(c + 1)
Let j = 649/1105 - -22/85. Let d = -7/39 + j. Factor -d*x + 2/3*x**3 + 0 + 0*x**2.
2*x*(x - 1)*(x + 1)/3
Let z be ((-161)/(-207))/(7/6). Factor z*r**4 + 0 + 0*r + 2/3*r**2 - 4/3*r**3.
2*r**2*(r - 1)**2/3
Let x(f) be the first derivative of -f**3/30 - f**2/10 - 13. Factor x(n).
-n*(n + 2)/10
Factor -b - 60*b**3 + 34*b**3 + 10*b**2 + 23*b**3 - 6.
-(b - 3)*(b - 1)*(3*b + 2)
Determine r, given that -1/2*r**2 - 1/2*r**3 + 0 + 0*r = 0.
-1, 0
Factor 0 + 3/2*h + 1/2*h**3 + 2*h**2.
h*(h + 1)*(h + 3)/2
Let z = 2090 - 2087. Determine i so that 35/4*i**5 + 0 + 75/4*i**z + 45/2*i**4 + 0*i + 5*i**2 = 0.
-1, -4/7, 0
Suppose 0 = -5*y + 4*h - h + 12, -1 = -h. Factor 8*s**3 - 11*s**3 - 6*s**2 + 6*s**y + 3*s**2.
3*s**2*(s - 1)
Let j be -10 + 22 + -4*2. Let p(o) be the third derivative of -1/180*o**5 + 0 + 0*o + 1/72*o**j - 1/360*o**6 + 2*o**2 + 1/18*o**3. Factor p(f).
-(f - 1)*(f + 1)**2/3
Find l such that -14 - 1796*l + 2*l**2 + 1808*l + 0 = 0.
-7, 1
Let q = -425/13 - -33. Let u be -1*((-69)/21 - 2/(-7)). Factor 0 + q*y**u + 6/13*y**2 + 2/13*y.
2*y*(y + 1)*(2*y + 1)/13
Factor -512/21*g**2 - 2/21*g**4 + 0 + 0*g + 64/21*g**3.
-2*g**2*(g - 16)**2/21
Let y = -44554 + 668338/15. Let -14/3*b + 22/15*b**4 + 68/15*b**3 + 2/15*b**5 - 10/3 + y*b**2 = 0. Calculate b.
-5, -1, 1
Let o(w) = -71*w**3 - 372*w**2 - 24*w + 266. Let p(u) = -24*u**3 - 124*u**2 - 8*u + 88. Let x(c) = -4*o(c) + 11*p(c). Factor x(z).
4*(z + 1)*(z + 6)*(5*z - 4)
Let r(z) = z - 1. Let j be r(-6). Let t be (-2)/j + 80/14. Factor 4*s**3 - 11*s**2 + 13*s**2 - t*s**3.
-2*s**2*(s - 1)
Factor 0 + 28/5*c**2 - 4/5*c**4 + 0*c**3 + 24/5*c.
-4*c*(c - 3)*(c + 1)*(c + 2)/5
Let p(r) be the third derivative of 19*r**2 + 0 + 0*r**7 + 0*r + 0*r**4 + 0*r**3 + 1/84*r**8 - 1/10*r**6 - 2/15*r**5. Factor p(t).
4*t**2*(t - 2)*(t + 1)**2
Let b(f) = -5*f**2 - 39*f + 2. Let m(z) = 7*z**2 + 40*z - 3. Let j(n) = 3*b(n) + 2*m(n). Factor j(p).
-p*(p + 37)
Let l(w) be the third derivative of -w**5/15 + w**4/2 + 12*w**3 - 72*w**2. Suppose l(o) = 0. What is o?
-3, 6
Let d(j) be the first derivative of -2*j**3/39 - 9*j**2/13 - 50. Factor d(q).
-2*q*(q + 9)/13
Let c = -233/9 - -941/36. Factor -3/4*x**2 - 1/4 - c*x**3 - 3/4*x.
-(x + 1)**3/4
Suppose -i = -4*z + 20, -2*z - 2*z + 3*i + 20 = 0. Suppose 0 = -v - 3*t + 15, -17 = -3*t - z. Factor 75*d**5 + 12*d**2 - 26*d**4 + 41*d**4 + 2*d**3 - 50*d**v.
3*d**2*(d + 1)*(5*d - 2)**2
Let k(g) be the first derivative of g**3/36 - 13*g**2/12 + 210. Determine u, given that k(u) = 0.
0, 26
Let z(j) = -8*j**2 - 12*j - 16. Let v be -1*5 + 99/11. Let y(r) = -7*r**2 - 13*r - 15. Let u(b) = v*y(b) - 3*z(b). Determine h so that u(h) = 0.
-3, -1
Let v(b) be the third derivative of -b**6/75 + 11*b**5/5 - 27*b**4/10 - 164*b**3/15 - 65*b**2 - 6*b. Solve v(x) = 0 for x.
-1/2, 1, 82
Let t(k) be the first derivative of -k**5/70 - k**4/21 + k**3/21 + 2*k**2/7 - 10*k + 6. Let b(c) be the first derivative of t(c). Solve b(m) = 0.
-2, -1, 1
Factor 17/9*n + 0 + 5/9*n**2.
n*(5*n + 17)/9
Let l(o) be the third derivative of 0*o**3 + 1/60*o**4 + 20*o**2 + 0 - 1/1575*o**7 + 1/180*o**6 + 0*o - 7/450*o**5. Factor l(a).
-2*a*(a - 3)*(a - 1)**2/15
Let b be ((-19)/((-3192)/(-48)))/(2*12/(-784)). Let -b + 10*m - 2/3*m**2 = 0. What is m?
1, 14
Let x(y) be the third derivative of -y**5/180 - 2*y**4/27 - 10*y**3/27 + 2*y**2 - 6. Suppose x(d) = 0. Calculate d.
-10/3, -2
Let l(d) be the second derivative of 4913/12*d**2 - 34*d + 1/120*d**5 + 0 + 17/24*d**4 + 289/12*d**3. Factor l(b).
(b + 17)**3/6
Let s be ((-714)/196)/(-17)*2. Determine k so that 3/7 + 0*k - s*k**2 = 0.
-1, 1
Let h(f) = 2*f**2 - 13*f - 5. Let k be h(7). Let b(x) = x**2 + 6*x - 1. Let c(q) = -5*q. Let g be 0/1 + 1 + 2. Let i(p) = g*c(p) + k*b(p). Factor i(s).
(s - 2)*(2*s + 1)
Let f(o) = 2*o**4 + 14*o**3 - 11*o**2 + 11*o. Let z(j) = -j**3 + j**2 - j. Suppose 5*u = -214 - 6. Let b(q) = u*z(q) - 4*f(q). Solve b(t) = 0.
-3/2, 0
Let n = 837/140 + 216239/420. Let -1/6*p**5 - 625/3*p**2 - n - 125/3*p**3 - 25/6*p**4 - 3125/6*p = 0. What is p?
-5
Let w(v) be the second derivative of v**7/945 - v**5/270 + 11*v**2/2 - 34*v. Let i(h) be the first derivative of w(h). Factor i(u).
2*u**2*(u - 1)*(u + 1)/9
Let a(m) be the first derivative of -m**5/20 - 3*m**4/8 - m**3 - m**2/2 + 2. Let c(d) be the second derivative of a(d). Factor c(x).
-3*(x + 1)*(x + 2)
Let c(u) be the second derivative of -u**5/190 - 15*u**4/38 - 225*u**3/19 - 3375*u**2/19 + 417*u. Determine s so that c(s) = 0.
-15
Let x = -46691/33 + 1415. Let f(y) be the third derivative of -1/33*y**4 - 1/330*y**5 - x*y**3 + 4*y**2 + 0 + 0*y. Factor f(k).
-2*(k + 2)**2/11
Let v be (-307)/(-28) - (6 - (-1276)/(-203)). Suppose -25/2*h**3 + 15*h + 25/4*h**2 + 5 - 5/2*h**5 - v*h**4 = 0. Calculate h.
-2, -1, -1/2, 1
Factor -1/5*h**2 + 1/5*h**4 - 2/5*h + 0 + 2/5*h**3.
h*(h - 1)*(h + 1)*(h + 2)/5
Let s(h) = h**2 + 1. Let y be s(-1). Factor 6*u**2 - 9*u**3 - 9*u**3 + 24*u - 14*u + y.
-2*(u - 1)*(3*u + 1)**2
Let p(f) be the first derivative of 0*f - 15 + 0*f**4 + 0*f**2 + 1/15*f**3 - 1/25*f**5. Factor p(t).
-t**2*(t - 1)*(t + 1)/5
Find i such that -80/9 - 2/9*i**2 - 44/9*i = 0.
-20, -2
Let r(g) be the second derivative of -3*g**7/35 - 7*g**6/25 + g**5/25 + 2*g**4/3 + 8*g**3/15 + 2*g + 2. Find h, given that r(h) = 0.
-2, -2/3, 0, 1
Determine g so that -9*g - 3*g**4 + 5 + 34*g**3 - 19*g**3 - 5*g**3 - 2*g**2 - g**5 = 0.
-5, -1, 1
Let o(f) = -f - 5. Suppose 8*s + 32 = -8. Let d be o(s). Factor d*x**3 + 3/4*x + 0 + 9/8*x**2 - 3/8*x**4.
-3*x*(x - 2)*(x + 1)**2/8
Let w(o) be the third derivative of o**6/1140 + 2*o**5/285 + 5*o**4/228 + 2*o**3/57 - o**2 + 51. Factor w(j).
2*(j + 1)**2*(j + 2)/19
Let w = -5380/7 - -26914/35. Suppose w*h**3 + 2/5 - 2/5*h - 2/5*h**2 = 0. What is h?
-1, 1
Solve 40*y**4 - 88*y**2 + 48*y**4 - 95*y**3 - 125*y**4 + 41*y**4 + 11*y**3 = 0.
-1, 0, 22
Let b be (0/(-2) - 0) + 13 + -12. Let f be (3/28)/(b/12). Factor f*c**2 + 6/7*c + 3/7*c**3 + 0.
3*c*(c + 1)*(c + 2)/7
Let d(z) be the first derivative of -z**5/80 - 7*z**4/16 - 49*z**3/8 - 343*z**2/8 - 2*z + 19. Let x(g) be the first derivative of d(g). Solve x(f) = 0.
-7
Let s(u) be the third derivative of -2*u**7/735 + 17*u**6/105 - 64*u**5/105 + 335*u**2 + 2. Suppose s(d) = 0. Calculate d.
0, 2, 32
Suppose -6*a = 39 - 63. Let i(t) be the second derivative of 1/15*t**5 + 0*t**a + 4*t + 0 - 1/63*t**7 + 0*t**2 - 1/9*t**3 + 0*t**6. Factor i(d).
-2*d*(d - 1)**2*(d + 1)**2/3
Let o be ((-1139)/34)/((-2)/(-7 + 1)). Let a = 102 + o. Determine x so that a*x**3 + 21/2*x**4 - 3*x**2 - 9*x**5 + 0 + 0*x = 0.
-1/2, 0, 2/3, 1
Factor -2/3*m**2 - 1/3*m**3 + 1/3*m + 2/3.
-(m - 1)*(m + 1)*(m + 2)/3
Let q(h) be the second derivative of -h**7/42 + 13*h**6/180 + h**5/15 + h**4 - 4*h. Let g(s) be the third derivative of q(s). Determine z, given that g(z) = 0.
-2/15, 1
Let x be -3 + 4/4 + 4. Suppose -2*h + x = -5*n - 0*h, 4*h - 4 = -n. Find u such that 0*u + n + 0*u**2 - 2/13*u**3 = 0.
0
Let r(p) be the third derivative of -1/20*p**5 + 1/2*p**4 - 2*p**3 + 0 + 0*p + 19*p**2. Factor r(u).
-3*(u - 2)**2
Let s(h) = h**2 - 7*h + 1. Let z = -10 + 7. Suppose -1 - 3 = -4*g, 0 = -5*f - 5*g - 35. Let v(b) = -2*b**2 + 20*b - 2. Let n(t) = f*s(t) + z*v(t). Factor n(y).
-2*(y + 1)**2
Let m be (-7)/(-2) + 65/(-10) + 7. Factor -3*a + m - 3*a**2 + 5*a - 4.
-a*(3*a - 2)
Let u(o) be the second derivative of 9*o**5/20 + 5*o**4/2 + 3*o**3/2 + 2*o - 7. Determine b, given that u(b) = 0.
-3, -1/3, 0
Factor -12*d**4 + 15*d**3 + 470*d**5 - 234*d**5 - 4*d**2 - 232*d**5 - 3*d**3.
4*d**2*(d - 1)**3
Let v = -5512/3 + 1838. Factor y**4 + 1/3*y**5 - 1/3 + 2/3*y**3 - v*y**2 - y.
(y - 1)*(y + 1)**4/3
Let c = -20 - -23. Let w(x) be the first derivative of 0*x + 0*x**2 + 0*x**4 - 1/10*x**5 - 1/12*x**6 + 0*x**c + 6. Find y, given that w(y) = 0.
-1, 0
Let i(r) be the second derivative of r**7/49 + r**6/35 - 9*r**5/70 - 5*r**4/14 - 2*r**3/7 - 10*r - 2. Factor i(v).
6*v*(v - 2)*(v + 1)**3/7
Let k(p) be the fi