Factor -5/2*i**2 - 180 - 365/2*i.
-5*(i + 1)*(i + 72)/2
Let q = 197111/26282 + 2/13141. Determine u, given that -25/2*u**2 + 10*u**5 + 0 + 25/2*u**4 - 5/2*u - q*u**3 = 0.
-1, -1/4, 0, 1
Let v be 2/14 + 340/119. Suppose -32/3*j**2 + 0 - 20/3*j**v - 4/3*j**4 - 16/3*j = 0. What is j?
-2, -1, 0
Let g be (-27)/(-6)*(27 - -7). Find r, given that -g*r**2 + 156*r**2 + 7*r - 16*r = 0.
0, 3
Let z be (-3)/60 - (-20)/80. Solve -2/5*i - z*i**2 - 1/5 = 0 for i.
-1
Let a be ((-1)/7 - (-2261)/(-1666)) + (-564)/(-56). Factor -a*y + 18/7 + 50/7*y**2.
2*(5*y - 3)**2/7
Let o(b) be the first derivative of -b**6/10 + 3*b**5/4 - 9*b**4/4 + 7*b**3/2 - 3*b**2 - 12*b + 4. Let t(w) be the first derivative of o(w). Factor t(q).
-3*(q - 2)*(q - 1)**3
Let l = -1555/357 + 244/51. Find z, given that 0 - 18/7*z**5 - 3/7*z**4 + 18/7*z**3 + l*z**2 + 0*z = 0.
-1, -1/6, 0, 1
Let g be ((-242)/(-55) + -4)*16. Factor -2/5*x**2 + 16/5*x - g.
-2*(x - 4)**2/5
Let q = 272/5 + -54. Let c be (-24)/(-5) - 32/40. Factor -2/5*a**3 - q*a**2 + 0 + 2/5*a + 2/5*a**c.
2*a*(a - 1)**2*(a + 1)/5
Let o(x) = -112*x - 1568. Let n be o(-14). Factor 3/4*y**2 + 3/4*y**3 - 9/2*y + n.
3*y*(y - 2)*(y + 3)/4
Suppose 37*m + 18 = 43*m. Let j(b) be the third derivative of 0*b + 0 + 1/6*b**4 + 0*b**7 + 1/84*b**8 - 1/15*b**6 - 2*b**2 + 0*b**m + 0*b**5. Factor j(i).
4*i*(i - 1)**2*(i + 1)**2
Let c(u) be the first derivative of -2 - 4/3*u**2 - 2/9*u**3 - 8/3*u. Solve c(j) = 0.
-2
Let p(o) be the second derivative of 0 - 21*o + 1/315*o**6 + 0*o**3 + 1/210*o**5 + 0*o**2 + 0*o**4. Factor p(f).
2*f**3*(f + 1)/21
Let l = 35476/3 + -11818. Factor 1/3*t**2 + 121/3 - l*t.
(t - 11)**2/3
Factor -1/2*c**2 + 9 + 1/4*c**3 - 15/4*c.
(c - 3)**2*(c + 4)/4
Let m(s) = -2*s**3 - s**2 - s - 1. Let p be m(-1). Determine j, given that -5*j**2 - p + 28*j - 14 - 8*j = 0.
1, 3
Factor -1/2*o**3 + 5/2*o + 1/2*o**4 - 1 - 3/2*o**2.
(o - 1)**3*(o + 2)/2
Let c(x) be the second derivative of x**5/40 + x**4/8 + x**3/4 - 4*x**2 - 6*x. Let j(i) be the first derivative of c(i). Factor j(b).
3*(b + 1)**2/2
Suppose 12 = 4*s - s. Let b(k) = -9*k - 79. Let t be b(-9). Factor -t*c**4 - 7*c**2 + s*c - 11*c**2 + 2*c**2 + 10*c**3 + 4*c.
-2*c*(c - 2)**2*(c - 1)
Let c(i) be the first derivative of -i**6/8 - i**5/4 + 23*i**4/16 - 19*i**3/12 + i**2/2 + 146. Solve c(a) = 0 for a.
-4, 0, 1/3, 1
Let x(m) be the first derivative of 1/5*m**2 - 37 + 2/3*m**3 + 0*m + 7/10*m**4 + 6/25*m**5. Find v, given that x(v) = 0.
-1, -1/3, 0
Let 115/7*v**2 + 16/7*v**5 + 129/7*v**3 + 51/7*v + 9/7 + 72/7*v**4 = 0. Calculate v.
-1, -3/4
Let g(m) be the second derivative of m**4/4 + 11*m**3/2 - 39*m**2 - 2*m + 273. Suppose g(b) = 0. What is b?
-13, 2
Solve 1/5*x**2 + 1/5*x**3 - 2/5*x + 0 = 0 for x.
-2, 0, 1
Determine s, given that 0 - 1/4*s**3 + 1/4*s**5 - s**2 + s**4 + 0*s = 0.
-4, -1, 0, 1
Suppose 0 = m - 5*m + 8. Let i be (8/10)/(m/5). Determine k, given that 1 - k**4 - 29*k**2 - 2*k + 29*k**i + 2*k**3 = 0.
-1, 1
Let u(g) be the first derivative of -25*g**4/38 + 520*g**3/57 - 101*g**2/19 + 20*g/19 + 150. What is o in u(o) = 0?
1/5, 10
Let n(c) be the third derivative of -c**5/150 + 4*c**3/15 - 215*c**2. Factor n(i).
-2*(i - 2)*(i + 2)/5
Let z(w) be the second derivative of -w**5/90 + 13*w**4/54 + 14*w**3/27 + 203*w. Solve z(u) = 0 for u.
-1, 0, 14
Let p(k) be the third derivative of k**5/15 + 11*k**4/6 - 8*k**3 - 359*k**2. Factor p(y).
4*(y - 1)*(y + 12)
Suppose 0 - 17/5*r**2 - 33/5*r**3 + 6/5*r + 4*r**4 = 0. Calculate r.
-3/5, 0, 1/4, 2
Suppose 3*z - o = 14, 0 = o - 14 + 10. Let i be ((-10)/125*5)/(z/(-10)). Factor 0 + 0*w**2 + 2/3*w**3 - i*w.
2*w*(w - 1)*(w + 1)/3
Let t(n) be the third derivative of -n**6/24 - n**5/3 + 35*n**4/24 + 25*n**3/3 + 71*n**2. Let t(k) = 0. What is k?
-5, -1, 2
Let t be (6/(-2) - -3)*(-17 - -16). Suppose -1/7*s**2 + t - 3/7*s = 0. What is s?
-3, 0
Let 5/2*k**4 + 0*k + 25/2*k**3 + 15*k**2 + 0 = 0. Calculate k.
-3, -2, 0
Let r(j) be the third derivative of j**6/20 - 19*j**5/30 + 4*j**4/3 + 20*j**3/3 + j**2 + 46*j. Factor r(v).
2*(v - 5)*(v - 2)*(3*v + 2)
Let j(p) be the third derivative of p**5/20 + 11*p**4 + 968*p**3 + 14*p**2 - 6. Suppose j(t) = 0. What is t?
-44
Suppose 107 = 16*c + 27. Let l(g) be the second derivative of 0*g**3 + 3*g - 1/130*g**c - 1/78*g**4 + 0*g**2 + 0. Determine t so that l(t) = 0.
-1, 0
Let f(x) = x**4 + x**3 - x + 1. Let i(w) = 18*w**4 + 118*w**3 + 112*w**2 - 134*w + 6. Let o(z) = -6*f(z) + i(z). Factor o(p).
4*p*(p + 2)*(p + 8)*(3*p - 2)
Let h be ((-3)/(-2))/((-36)/(-480)). Let z = 23 - h. Solve 3/7*b - 3/7*b**z + 0 + 0*b**2 = 0 for b.
-1, 0, 1
Determine n, given that 5*n**5 - 80 + 45*n - 25*n**3 + 4*n**3 - 37*n**2 - 15*n**4 - 55 - 29*n**3 + 187*n**2 = 0.
-3, -1, 1, 3
Let c be (0 - 5)*((-168)/20)/7. Let y(g) be the second derivative of 0*g**2 - 1/5*g**c + 2/5*g**5 - 1/6*g**4 + 0 + 0*g**3 - g. Let y(q) = 0. What is q?
0, 1/3, 1
Let f be 29/6 + 2/12. Factor -20*a**f - 4*a**3 + 23*a**5 - 2*a**3 + 3*a.
3*a*(a - 1)**2*(a + 1)**2
Let m(x) be the third derivative of -4*x**2 + 0 - 3/8*x**4 + 5/112*x**8 - 2/5*x**5 + 11/20*x**6 + 0*x - 9/35*x**7 + x**3. Factor m(v).
3*(v - 1)**4*(5*v + 2)
Suppose -18 + 2 = -5*r - w, 5*r = 5*w + 40. Factor -6*i + 27*i**3 + r*i**2 - 8*i**2 - 25*i**3.
2*i*(i - 3)*(i + 1)
Let h be (5*(-13)/130)/((-14)/16). Suppose -h*d**2 + 4/7*d**4 + 12/7*d**3 - 8/7*d + 0 - 4/7*d**5 = 0. Calculate d.
-1, 0, 1, 2
Let x(a) be the third derivative of -1/80*a**5 - 1/48*a**4 + 0 + 1/60*a**6 + 0*a**3 + 0*a - 7*a**2 - 1/280*a**7. Suppose x(b) = 0. Calculate b.
-1/3, 0, 1, 2
Let c(j) be the third derivative of -j**5/12 - 95*j**4/24 + 42*j**2. Factor c(x).
-5*x*(x + 19)
Let a(z) be the first derivative of -z**5/20 + 2*z**4 - 32*z**3 + 6*z**2 - 36. Let g(k) be the second derivative of a(k). What is i in g(i) = 0?
8
Let n(b) be the third derivative of -b**5/20 - 15*b**4/8 - 7*b**3 - 61*b**2. Factor n(v).
-3*(v + 1)*(v + 14)
Find g such that -12 - 1 - 2*g**2 - 8*g - 10 + 16 + 17 = 0.
-5, 1
Let s(b) be the first derivative of b**4/6 + 8*b**3/9 + b**2 - 1039. Factor s(v).
2*v*(v + 1)*(v + 3)/3
Let z(i) be the first derivative of i**5/4 - 5*i**3/12 - 31. Factor z(n).
5*n**2*(n - 1)*(n + 1)/4
Let y(v) be the first derivative of -9/2*v**4 - 3/5*v**5 - 5 + 9*v + 14*v**3 - 33/2*v**2 + 1/2*v**6. Determine f so that y(f) = 0.
-3, 1
Let t(w) be the second derivative of -w**5/50 - w**4/10 + 3*w**3 - 81*w**2/5 - 378*w. Let t(u) = 0. Calculate u.
-9, 3
Let r(x) be the first derivative of 320*x**5 - 920*x**4 + 2596*x**3/3 - 276*x**2 + 36*x + 25. Find g, given that r(g) = 0.
3/20, 1
Suppose 3*r + 2*j + 1 = 0, -3*r + 0*r + 34 = -5*j. Let 9 - r*p**3 + 8*p**2 - 2*p**2 + 21*p + 3 = 0. What is p?
-1, 4
Let c be 4/30*-3 + (-255)/(-75). Suppose 2*r - 13 = -7*p + 6*p, p = c*r - 7. Let -12*y - 8/3 - 40/3*y**2 - r*y**3 = 0. What is y?
-2, -1, -1/3
Find p, given that -6 - 15/4*p**4 + 3/2*p - 3/4*p**3 + 39/4*p**2 - 3/4*p**5 = 0.
-4, -2, -1, 1
Let q(m) be the third derivative of m**7/504 + m**6/36 + m**5/8 - 5*m**4/6 - 18*m**2. Let f(d) be the second derivative of q(d). Factor f(a).
5*(a + 1)*(a + 3)
Factor -27 - 5347*l + 5457*l - 88 + 5*l**2.
5*(l - 1)*(l + 23)
Let w = 66 + -51. Factor -21*i**2 - 4*i**2 + 11 + 20*i**4 - 2 + 15*i - 4 - w*i**3.
5*(i - 1)**2*(i + 1)*(4*i + 1)
Suppose 13*q = 6*q - 7. Let k be -1 - q - (96/(-156))/4. Determine u, given that 0 + 2/13*u**4 + 0*u - 4/13*u**3 + k*u**2 = 0.
0, 1
Let u be (-40)/(-12) - 4/(-6). Suppose 3*a = -2*c + 23, -u*a - 3 = -2*c - 3*a. Factor 2/9*n**c - 8/9*n**3 + 4/3*n**2 + 2/9 - 8/9*n.
2*(n - 1)**4/9
Let q be (-4 + (3 - 1))/(-1). Determine c so that 2*c - 90*c**2 + 1 - 82*c**2 + 173*c**q = 0.
-1
Suppose 73 + 7 = 8*p. Factor 85*l + 8 - 39*l**2 + 2 + 209*l**2 - p*l + 105*l**3.
5*(l + 1)*(3*l + 1)*(7*l + 2)
Let o = -5536 - -5539. Suppose 4/7 + 6/7*f**2 - 10/7*f**4 + 2*f**o - 2*f = 0. What is f?
-1, 2/5, 1
Let n(q) be the second derivative of -q**4/54 - 16*q**3/27 + 17*q**2/9 - 109*q. Factor n(z).
-2*(z - 1)*(z + 17)/9
Let x(q) be the first derivative of q**4/20 + 4*q**3/15 - 3*q**2/2 - 18*q/5 + 39. Factor x(c).
(c - 3)*(c + 1)*(c + 6)/5
Suppose -4*f = -2*a - 14, -a - 32 = -4*f - 5*a. Solve 13*s**f - 92*s**2 + 28*s**4 - 9*s**5 + 29 + 35 + 28*s**3 - 32*s = 0 for s.
-4, -1, 1
Suppose 5 = -x + 4*i, -x + 0*i - 5*i + 13 =