5 + 107*i**6/360 - i**5/3 + 25*i**4/144 - 2*i**2 - 84. Factor j(u).
u*(u - 1)**2*(7*u - 5)**2/6
Solve 685*q**4 + 6*q**2 - 342*q**4 + q**5 - 346*q**4 - 3 - 2*q**3 + q = 0 for q.
-1, 1, 3
Factor -2*k - 40*k**2 + 15*k**3 - 244 + 17*k + 254.
5*(k - 2)*(k - 1)*(3*k + 1)
Let t be 53 - -8*5/(-10). Let b be (-5 - t/(-10))/((-2)/8). Suppose -4/5*n - b*n**2 + 0 = 0. What is n?
-2, 0
Let s be ((80/25)/(-8))/(24/(-4)). Let l(r) be the third derivative of 0*r**3 + 4*r**2 - s*r**5 - 1/120*r**6 - 1/6*r**4 + 0*r + 0. Find w, given that l(w) = 0.
-2, 0
Let p(y) be the third derivative of y**5/240 + 5*y**4/16 + 75*y**3/8 - 20*y**2. Determine v, given that p(v) = 0.
-15
Let k(l) be the first derivative of -3*l**5/5 - 9*l**4/4 + 2*l**3 + 18*l**2 + 24*l - 117. Factor k(v).
-3*(v - 2)*(v + 1)*(v + 2)**2
Let h = -1 + 53. Let w = -16 + h. Factor 1 - 2*u**3 + w*u**2 + 3*u**4 - 40*u**2 + 4*u**3 + 2*u**5 - 4*u**3.
(u - 1)*(u + 1)**3*(2*u - 1)
Let c(l) be the second derivative of 5*l**4/24 + 19*l**3/12 - l**2 - 2*l - 12. Suppose c(p) = 0. What is p?
-4, 1/5
Let o(n) = 5*n**2 - 5*n. Let r(f) = -7*f**2 + 7*f - 5. Let l(w) = -3*w**2 + 3*w - 2. Let k(g) = -5*l(g) + 2*r(g). Let b(h) = -6*k(h) + o(h). Factor b(t).
-t*(t - 1)
Suppose -10 = -y + 2*t, 5*y - t + 8 = 31. What is b in -21*b**y - 3*b - 15*b**3 + 4*b - b - 9*b**5 - 3*b**2 = 0?
-1, -1/3, 0
Let s = -8050 - -8052. Factor 8/17 - 6/17*p - 2/17*p**s.
-2*(p - 1)*(p + 4)/17
Factor -1/5*s + 0 + s**2.
s*(5*s - 1)/5
Let x(j) be the second derivative of 7/30*j**3 + 0 - 32*j - 1/60*j**4 - 3/5*j**2. Factor x(q).
-(q - 6)*(q - 1)/5
Let j be 2/(-15) - 544/(-4080). Determine x so that j*x**3 + 0 + 2/7*x**4 - 6/7*x**2 - 4/7*x = 0.
-1, 0, 2
Let v = -28 - 1. Let u = 148/5 + v. Factor -24/5 - 12/5*d + 6/5*d**2 + u*d**3.
3*(d - 2)*(d + 2)**2/5
Let o(p) = 2*p + 58. Let k(l) = l + 39. Let q(r) = -7*k(r) + 5*o(r). Let f be q(-5). Factor -20 + 6 + 9 + 5*h**f.
5*(h - 1)*(h + 1)
Let r(o) be the third derivative of -o**7/42 - 13*o**6/12 - 18*o**5 - 405*o**4/4 + 1215*o**3/2 + 51*o**2. Suppose r(g) = 0. What is g?
-9, 1
Let h(q) be the second derivative of -q**7/42 - 2*q**6/15 - q**5/20 + q**4/2 + 689*q. Suppose h(r) = 0. What is r?
-3, -2, 0, 1
Factor 20*h - 9*h**4 + 20*h**2 - 6*h**4 + 10*h**4 - 5*h**3.
-5*h*(h - 2)*(h + 1)*(h + 2)
Solve 26/5*f + 4/3 + 24/5*f**2 - 8/15*f**3 = 0 for f.
-1/2, 10
Let i be -10 + 25 + -8 - (-4 - 9/(-1)). Factor -5/4*p + 3/2 + 1/4*p**i.
(p - 3)*(p - 2)/4
Let i(a) be the second derivative of a**5/5 - 3*a**4 + 10*a**3 - 14*a**2 - 52*a. Suppose i(q) = 0. Calculate q.
1, 7
Factor 8/3 + 82/3*t**2 + 88/3*t + 20/3*t**3.
2*(t + 2)**2*(10*t + 1)/3
Let c(f) be the third derivative of -f**8/420 - 4*f**7/105 - 4*f**6/25 - 22*f**5/75 - 7*f**4/30 + f**2 - 18*f. Let c(m) = 0. Calculate m.
-7, -1, 0
Factor 3/2*r**2 + 9*r - 24.
3*(r - 2)*(r + 8)/2
Let c = 7/6 + 274/3. Let y = c - 2031/22. Let 4/11*u**3 - 2/11*u + 0 + y*u**2 = 0. What is u?
-1, 0, 1/2
Let b(o) be the third derivative of 7/480*o**6 + 0*o + 1/48*o**4 + 3/80*o**5 + 0*o**3 - 5*o**2 + 0. Suppose b(i) = 0. What is i?
-1, -2/7, 0
Let w be (-3)/(-10) - 243/270 - (-37)/45. Determine q so that 0 + 2/3*q**3 - w*q**5 + 0*q + 4/9*q**2 + 0*q**4 = 0.
-1, 0, 2
Let c = 2996 - 11983/4. Factor -c*r**2 + 1 - 3/4*r.
-(r - 1)*(r + 4)/4
Let y(s) = -s**2 + 4*s + 2. Let u be y(4). Suppose u*m + 2*m = 28. Factor -2*z**2 - z - z**2 + 5*z**2 + m*z + 4.
2*(z + 1)*(z + 2)
Let u be 23/((-598)/(-190)) + (-7)/1. Factor 14/13*s - 6/13*s**2 - u.
-2*(s - 2)*(3*s - 1)/13
Suppose 26/3*u + 8 - 1/3*u**3 + 1/3*u**2 = 0. What is u?
-4, -1, 6
Factor 20*x**2 - 4*x**4 - 25/2*x - 1/2*x**5 - 3*x**3 + 0.
-x*(x - 1)**2*(x + 5)**2/2
Factor -8/23*t + 4/23*t**2 + 2/23*t**3 - 16/23.
2*(t - 2)*(t + 2)**2/23
Let g(i) = -i**3 - 5*i**2 + 17*i + 24. Let h be g(-7). Factor -4/9*y + 4/9*y**h - 2/9 + 2/9*y**2.
2*(y - 1)*(y + 1)*(2*y + 1)/9
Let 855*b**2 - 5290 + 45*b**2 - 248*b - 99*b + 2*b - 125*b**3 = 0. Calculate b.
-2, 23/5
Let v = -25 - -28. Factor -12*y**2 - v + 6*y**2 + 6*y**3 + 10*y**2 + 5*y**2.
3*(y + 1)**2*(2*y - 1)
Let n be 33/(-15) - 12/15. Let u = n + 8. Suppose 3*b**3 + b + b**3 - u*b + 4*b**2 - 4*b = 0. What is b?
-2, 0, 1
Let v(b) be the second derivative of -b**6/120 + b**5/20 - b**4/48 - b**3/4 - 267*b. Solve v(n) = 0 for n.
-1, 0, 2, 3
Let z = -85 + 87. Let u(j) be the first derivative of 0*j + 1/4*j**6 + 0*j**3 - 3/8*j**4 + 0*j**5 - z + 0*j**2. Solve u(g) = 0 for g.
-1, 0, 1
Let x(k) be the third derivative of k**6/540 + 11*k**5/270 + 13*k**4/54 + 16*k**3/27 - 25*k**2. Find t such that x(t) = 0.
-8, -2, -1
Suppose -12/5*b**4 + 0 + 9/5*b**3 + 15*b**2 + 18/5*b = 0. What is b?
-2, -1/4, 0, 3
Let v(x) be the third derivative of x**6/180 - 11*x**5/6 + 3025*x**4/12 - 166375*x**3/9 + 20*x**2 + 2. Factor v(n).
2*(n - 55)**3/3
Let m(l) be the second derivative of l**5/140 + 19*l**4/84 + 37*l**3/21 + 4*l**2 + 39*l + 8. Factor m(k).
(k + 1)*(k + 4)*(k + 14)/7
Let y(g) = 2*g**2 - 17*g - 135. Let x be y(-5). Factor 0 + 0*n**3 + 3/4*n**5 + 3/4*n**4 + 0*n + x*n**2.
3*n**4*(n + 1)/4
Suppose -35*o + 30*o = 10. Let b be 0/(o - (3 + -1 - 2)). Factor b + 1/3*f**2 + 0*f.
f**2/3
Let k(t) be the third derivative of t**8/840 + t**7/840 + 5*t**3/6 - t**2. Let w(c) be the first derivative of k(c). Factor w(q).
q**3*(2*q + 1)
Let j(y) = -22*y**3 - 11*y**3 + 6 + 18*y**3 + 9*y. Let h(z) = z**3 - z**2 + z - 1. Let k(r) = 3*h(r) + j(r). Find v such that k(v) = 0.
-1, -1/4, 1
Let m(d) be the first derivative of -35*d**4/4 - 15*d**3 + 30*d**2 + 20*d + 98. Solve m(k) = 0 for k.
-2, -2/7, 1
Let p(k) = -3*k**2 - 7*k - 4. Let a(x) = 5*x**2 - 4*x**2 - 14*x - 8*x**2 - 7. Let r(n) = -2*a(n) + 5*p(n). Factor r(w).
-(w + 1)*(w + 6)
Let b(x) be the first derivative of x**4/3 - 4*x**3/9 + 15. Let b(a) = 0. What is a?
0, 1
Let o be ((-20)/(-28) + (-8)/(-28))/3. Let a(y) be the second derivative of -9*y - 1/15*y**6 + 1/3*y**3 + 1/21*y**7 + 0 - 1/5*y**5 + o*y**4 - y**2. Factor a(b).
2*(b - 1)**3*(b + 1)**2
Let c be -2*(15/(-177) + 0). Let b = -12/767 + c. Solve -2/13 + b*f - 2/13*f**3 + 2/13*f**2 = 0.
-1, 1
Suppose -b - 5 = 0, 2*b + 8 = -9*t + 8*t. Let f(c) be the first derivative of 1 + 2*c**3 + 0*c - 3/4*c**4 - 3/2*c**t. Factor f(u).
-3*u*(u - 1)**2
Let s(r) be the first derivative of 10*r + 16 + 2/3*r**3 - 6*r**2. Factor s(u).
2*(u - 5)*(u - 1)
Let m(a) be the second derivative of -1/40*a**4 + 0 - 3*a**2 + 1/100*a**5 - 1/600*a**6 + 1/30*a**3 + 6*a. Let v(s) be the first derivative of m(s). Factor v(h).
-(h - 1)**3/5
Let w(l) be the first derivative of -l**3 + 39*l**2 - 507*l - 62. Factor w(g).
-3*(g - 13)**2
Let c be (1 - 0)/(-5) + (-634)/(-20). Let g = -30 + c. Let -1 + g*r - 1/2*r**2 = 0. What is r?
1, 2
Let k(v) = 4*v**2 - 6*v + 5. Let n(l) = l**2 - 5*l + 15. Let r(a) = 3*a**2 - 11*a + 29. Let i(y) = -11*n(y) + 6*r(y). Let x(c) = -6*i(c) + 10*k(c). Factor x(w).
-2*(w - 2)*(w - 1)
Suppose -1102 = -12*v + 1910. Let j = v + -3763/15. Factor 0 + 2/15*n**5 + 2/5*n**3 + j*n**2 + 0*n + 2/5*n**4.
2*n**2*(n + 1)**3/15
Let g(q) = q + 7. Let x be g(-3). Solve 11*m - m**3 + x*m**2 - m**3 - 5*m = 0.
-1, 0, 3
Let v = -24 - 146. Let r = -508/3 - v. Factor r*p**3 + p**2 - 4/3 - 4/3*p - 1/3*p**4.
-(p - 2)**2*(p + 1)**2/3
Let v be (-35 + 35)/(35/(-9 - -4)). Let k(l) = l**3 - 2*l**2 + 2*l + 1. Let d be k(2). Find a, given that v + 3*a**3 + 1/2*a + 2*a**4 + 2*a**2 + 1/2*a**d = 0.
-1, 0
Suppose 2*m + 9 = -5*v, -4*m + 6*m + 2*v = 0. Factor -s**5 - 7*s**2 + m*s**3 + 6*s**2 + 0*s**3 + 0*s**3 + s**4 - 2*s.
-s*(s - 2)*(s - 1)*(s + 1)**2
Suppose 20*q - 60 = 5*q. Let g(v) be the first derivative of 3*v - 27/4*v**q - 1 + 15*v**3 - 21/2*v**2. Factor g(k).
-3*(k - 1)*(3*k - 1)**2
Let k = 37 + -34. Factor 4*j**k + 2*j**5 + 75 + 6*j**4 - 75.
2*j**3*(j + 1)*(j + 2)
Suppose -876*j**2 + 218*j**2 + 218*j**2 + 219*j**2 + 5*j + 220*j**2 + 50 = 0. What is j?
-5, 10
Let p be 4 + 196/24 + -12. Factor p - 1/2*q**2 - 1/3*q.
-(q + 1)*(3*q - 1)/6
Suppose -2*g - 3 + 7 = -k, -5*k = g - 24. Find f, given that -24 - 10*f - 10*f - k*f**2 - 3*f + 3*f = 0.
-3, -2
Let y(b) be the third derivative of -363*b**7/35 - 341*b**6/10 - 829*b**5/30 + 31*b**4/3 - 4*b**3/3 - 231*b**2. Solve y(a) = 0 for a.
-1, 2/33
Let a(u) be the second derivative of -u**4/60 + 8*u**2/5 - 66*u. Find w such that a(w) = 0.
-4, 4