 k = c + -215/4. Solve 0 + k*v**2 + 1/4*v**3 + 0*v = 0 for v.
-1, 0
Suppose -2*f + 3*m = -f - 20, -5*f + 3*m = -88. Let p = f + -9. Factor 6 + p - 22 - 4*o**2 - 8*o + 4.
-4*(o + 1)**2
Let n(x) be the first derivative of 2*x**3/33 + 9*x**2/11 + 28*x/11 - 8. Factor n(o).
2*(o + 2)*(o + 7)/11
Let h(y) be the third derivative of y**6/72 + y**5/6 + 5*y**3/6 + 9*y**2. Let z(r) be the first derivative of h(r). Factor z(q).
5*q*(q + 4)
Suppose 8 = 4*t + c, 3*c - 4*c = 2*t - 4. Determine u, given that -u**2 + 7*u - 4*u**2 + 11*u**t - 6 - 7*u**2 = 0.
1, 6
Let i be 9/(-30)*(-45)/36. Determine f, given that -15/8*f + 9/8*f**2 + i*f**3 - 3/8*f**4 + 3/4 = 0.
-2, 1
Factor -40/3*z**2 - 19/6*z**4 - 1/6*z**5 - 38/3*z**3 + 56/3 + 32/3*z.
-(z - 1)*(z + 2)**3*(z + 14)/6
Let u(z) be the third derivative of z**6/280 + z**5/35 + 3*z**4/56 - 52*z**2 + 2*z. Factor u(o).
3*o*(o + 1)*(o + 3)/7
Suppose -4*x + 5 = 3*b, 10 = b + 3*x - 0*x. Let o be (325/45 + b)*(-1)/(-2). Factor -o*s**2 + 2/9 + 8/9*s.
-2*(s - 1)*(5*s + 1)/9
Let t be -7 - ((-10)/5)/(2/2). Let f be (-22)/(-30) + (t - (-138)/30). Let -1/3*n**2 + 1/3 - f*n + 1/3*n**3 = 0. Calculate n.
-1, 1
Suppose -9/4 - 3/4*z + 9/4*z**2 + 3/4*z**3 = 0. What is z?
-3, -1, 1
Let o(t) be the first derivative of -t**4/14 + 2*t**3/3 - 6*t**2/7 + 77. Factor o(m).
-2*m*(m - 6)*(m - 1)/7
Let o(a) be the third derivative of -a**7/630 + 7*a**6/360 + 17*a**5/180 + a**4/8 - 8*a**2 + 6*a. Factor o(z).
-z*(z - 9)*(z + 1)**2/3
Factor 415*k**4 - 182*k**4 - 201*k**4 - 9 + 48*k**3 - 46*k**2 - 30*k + 5.
2*(k - 1)*(k + 2)*(4*k + 1)**2
Let x(g) be the third derivative of g**5/90 + 53*g**4/36 + 52*g**3/9 + 3*g**2 - 3*g. Solve x(p) = 0.
-52, -1
Let r(m) be the second derivative of m**7/14 - m**6/3 - 9*m**5/20 + m**4/3 + 5*m - 4. Factor r(y).
y**2*(y - 4)*(y + 1)*(3*y - 1)
Suppose -26*s = -7*s + 14*s - 66. Factor 0 - 4/3*x - 4/3*x**s.
-4*x*(x + 1)/3
Suppose -103 = -8*d + 569. Let a be (4 - (-380)/(-98))*d. Let -3/7 - a*b**2 - 30/7*b - 66/7*b**3 - 3*b**4 = 0. What is b?
-1, -1/7
Determine p so that 14*p - 11*p**4 - 8*p**4 - 40*p**3 + 3*p**2 - 1 - 15*p**4 + 6*p**4 = 0.
-1, 1/14, 1/2
Let p be 3/7*4/(48/210). Factor 0*r - p*r**4 + 0 + 25/2*r**3 - 5*r**2.
-5*r**2*(r - 1)*(3*r - 2)/2
Let b(o) = -116 + 2*o**2 + 118 - 3*o**2 - 130 + 28*o. Let t be b(22). Find p such that -4*p**3 + 0*p**t + 4/3*p**5 + 8/3*p**2 + 0 + 0*p = 0.
-2, 0, 1
Suppose -2*c = -6*c + 1280. Let 2*f**2 - c - 5*f**3 - 50*f**2 - 240*f - 12*f**2 = 0. Calculate f.
-4
Let c(u) be the first derivative of -2*u**3/3 - 60*u**2 - 342*u + 152. Factor c(n).
-2*(n + 3)*(n + 57)
Let u(f) be the second derivative of 5*f**7/42 - 5*f**6/3 - 6*f**5 - 5*f**4/6 + 115*f**3/6 + 30*f**2 - 3*f - 14. Suppose u(o) = 0. What is o?
-1, 1, 12
Suppose 0 = -9*c + 8*c - 5*a - 12, 5*a + 6 = -3*c. Let k(n) be the second derivative of -6/7*n**2 + 3*n - 1/28*n**4 - 2/7*n**c + 0. Solve k(u) = 0 for u.
-2
Let w(y) = -39*y**2 + 51*y - 16. Suppose -4*b - 3 - 1 = 0. Let c(a) = a**2 - a. Let l(n) = b*w(n) - 3*c(n). Find d, given that l(d) = 0.
2/3
Let o = -67 + 72. Suppose -i**3 + 3*i**4 + i**o - 4*i**2 + 4*i**3 + 3*i**2 + 2*i**2 = 0. What is i?
-1, 0
Let a(d) be the second derivative of -d**4/12 - 4*d**3/3 - d**2/2 - 2*d. Let t be a(-7). Factor 4*q**2 - q - 2*q - 7*q**2 + t*q.
-3*q*(q - 1)
Let f(x) = 2*x**3 + 8*x**2 - 13*x + 3. Let w(z) = 3*z**3 + 12*z**2 - 19*z + 5. Let r(q) = 7*f(q) - 5*w(q). Let c be r(-5). Factor 3 + 2 - 3*k - c - 2 + k**3.
(k - 1)**2*(k + 2)
Suppose 3*x + 2*x = 10. Suppose j = -2*j + 9. Let 6*c + 6 - 4*c**2 + 7*c**x - j = 0. What is c?
-1
Let u(f) be the first derivative of -f**4/28 - 80*f**3/21 + 166*f**2/7 - 48*f + 216. Find b such that u(b) = 0.
-84, 2
Suppose 14*y + 80 = 6*y. Let g be 12/y*5/(-9). Suppose 2/3*b**3 + 0 + 2/3*b**2 - g*b - 2/3*b**4 = 0. Calculate b.
-1, 0, 1
Let n be 47/15 - (-12)/(-4). Let x be 149/45 - (3 + (-156)/54). Factor -44/15*m**2 - x*m - 6/5 - 16/15*m**3 - n*m**4.
-2*(m + 1)**2*(m + 3)**2/15
Let z be ((-8)/10)/((-7)/((-105)/(-6))). Find o such that -4*o**2 - 4*o**3 + 22*o + z*o**3 - 3*o - 13*o = 0.
-3, 0, 1
Let h be (60/12 - 0)*12/15. Solve -12/5*o**2 + 8/5 + 4/5*o**h + 4/5*o - 4/5*o**3 = 0 for o.
-1, 1, 2
Let i(v) be the third derivative of -v**6/300 + v**5/50 + v**2 + 2. Factor i(h).
-2*h**2*(h - 3)/5
Determine j so that 12/7*j**4 + 24/7*j + 32/7 - 2/7*j**5 - 32/7*j**2 - 10/7*j**3 = 0.
-1, 2, 4
Let d = -107 - -109. Let l(w) be the first derivative of 3 - 2/15*w**5 - 2/3*w**3 + 1/2*w**4 + 1/3*w**d + 0*w. Factor l(k).
-2*k*(k - 1)**3/3
Let z(j) = j**3 - 2*j**2 + j - 3. Suppose 2*f = -3*f + 15. Let p be z(f). Find u such that -2 + 14 + 5*u + 7*u - p*u**2 = 0.
-2/3, 2
Factor 24/7 + 8*b + 16/7*b**3 + 46/7*b**2 + 2/7*b**4.
2*(b + 1)*(b + 2)**2*(b + 3)/7
Let m(x) be the first derivative of x**4/48 + x**3/6 + x**2/2 + 23*x - 12. Let p(t) be the first derivative of m(t). Factor p(w).
(w + 2)**2/4
Let i(s) be the third derivative of -1/10*s**5 - 1/30*s**6 - 1/6*s**4 - 1/6*s**3 + 0 + 7*s**2 - 1/210*s**7 + 0*s. Factor i(u).
-(u + 1)**4
Suppose -b + 2 + 0 = 0. Suppose b*l = l + 2. Factor -11 + 5*c**3 - c**3 - c**4 - 4*c + 15 - 3*c**l.
-(c - 2)**2*(c - 1)*(c + 1)
Let a(x) be the third derivative of -1/2*x**3 - 1/720*x**6 + 0 - 1/120*x**5 - 1/48*x**4 + 0*x + 3*x**2. Let g(f) be the first derivative of a(f). Factor g(w).
-(w + 1)**2/2
Let b(t) be the third derivative of 2*t**7/945 + 8*t**6/135 + 8*t**5/45 - 160*t**4/27 + 800*t**3/27 - 2*t**2 + 95. Find n such that b(n) = 0.
-10, 2
Let a(t) be the first derivative of -t**5/35 - 41*t**4/28 - 195*t**3/7 - 3211*t**2/14 - 4394*t/7 - 86. Factor a(p).
-(p + 2)*(p + 13)**3/7
Let n(a) be the third derivative of a**5/330 + a**4/66 - a**3/11 + 10*a**2 + 3. Factor n(g).
2*(g - 1)*(g + 3)/11
Let i(b) be the first derivative of b**3 + 24*b**2 + 84*b - 440. Factor i(o).
3*(o + 2)*(o + 14)
Factor -16/5*c + 2/5*c**2 - 8.
2*(c - 10)*(c + 2)/5
Suppose 10*q - 2*q = -4*q. Let t = -67 + 70. Factor 2/3*r**2 + 2/3*r**t + q*r + 0.
2*r**2*(r + 1)/3
Let b be 11*46*(-7 + (-26)/(-4)). Let x = 1269/5 + b. Factor -12/5*m**2 - x + 16/5*m.
-4*(m - 1)*(3*m - 1)/5
Solve 648/11 - 28/11*t**3 + 504/11*t + 26/11*t**2 + 2/11*t**4 = 0 for t.
-2, 9
Let i(b) = -b**3 - b. Let x(t) = 8*t**3 - 24*t**2 + 96*t - 108. Let l(v) = 12*i(v) + 2*x(v). Find m such that l(m) = 0.
3, 6
Let o(t) be the second derivative of -5*t**8/168 - 5*t**7/42 - t**6/12 - t**2 + 15*t. Let u(m) be the first derivative of o(m). Factor u(v).
-5*v**3*(v + 2)*(2*v + 1)
Let j(l) be the third derivative of -l**7/630 + l**6/60 + 11*l**5/180 - 5*l**4/6 - 50*l**3/9 + 83*l**2. Let j(w) = 0. What is w?
-2, 5
Suppose -v + 4 = 0, -3*o + 92 = o + 3*v. Suppose -5*c - o = 4*w, -4*w + 4*c = -8*w - 16. Determine d so that w + 3/2*d**4 - 9/2*d**3 + 0*d**2 + 6*d = 0.
-1, 0, 2
Let u(k) be the first derivative of -3/4*k**4 + 3*k**2 - k**3 - 16 + 0*k. Solve u(l) = 0 for l.
-2, 0, 1
Let m(v) be the first derivative of 6*v**7/35 - v**6/4 + v**5/15 + 33*v**2/2 + 40. Let j(c) be the second derivative of m(c). Suppose j(t) = 0. Calculate t.
0, 1/6, 2/3
Let h be (-4)/(-18) - (-40)/1440. Let k(x) be the second derivative of h*x**3 + 3/8*x**2 + 4*x + 0 + 1/16*x**4. Factor k(z).
3*(z + 1)**2/4
Find z, given that -2256*z - 3*z**2 + 2216*z - z**2 = 0.
-10, 0
Let t(h) be the second derivative of 7*h**3 - 3*h**4 - h**3 - 14*h**2 - 38*h + 35*h. Let z(w) = -4*w**2 + 4*w - 3. Let g(l) = 3*t(l) - 28*z(l). Factor g(k).
4*k*(k - 1)
Let t = 9 - 6. Suppose -3*c = -3*h - 18, 3*c - t = -3*h + 3. Suppose 5*l - l - 4 - 2*l + 2*l**3 + 4*l**2 - c*l = 0. What is l?
-2, -1, 1
Suppose -3*g - 18 = -6*g. Let r = -17 - -20. Find s such that 2*s**r + 3 + 7 - g + 6*s**2 + 2*s**2 + 10*s = 0.
-2, -1
Let r(w) be the third derivative of -w**6/150 + 11*w**5 - 15125*w**4/2 + 8318750*w**3/3 - 582*w**2. Determine y, given that r(y) = 0.
275
Let x(q) be the second derivative of 2*q**6/15 - q**5/5 - 5*q**4 - 46*q**3/3 - 20*q**2 + 3*q - 52. Solve x(r) = 0.
-2, -1, 5
Let p = 2606/715 - 192/55. Factor p*m**4 - 8/13*m + 6/13*m**3 + 0 + 0*m**2.
2*m*(m - 1)*(m + 2)**2/13
Let g(r) = -26*r - 13. Let z be g(-3). Factor z*w**3 - 21*w**2 + 50*w**2 + 37*w**2 + 20*w**4 + 9*w**2 + 35*w + 5.
5*(w + 1)**3*(4*w + 1)
Let a be (-309)/4 + (-3 - 0/3). Let o = 81 + a. Factor 9/4*w - o + 3/4*w**3 - 