 = -5*n**2 + 154*n + 2713. Let h(l) = -4*f(l) - 9*m(l). Factor h(o).
2*(o + 26)**2
Let i(r) be the third derivative of 0 + 12*r**2 - 1/3*r**3 + 0*r + 1/840*r**6 + 1/28*r**4 - 3/280*r**5. Let f(q) be the first derivative of i(q). Factor f(d).
3*(d - 2)*(d - 1)/7
Let s(q) = -2*q**4 + 7*q**3 - 6*q**2 - 7*q + 2. Let u(z) = -z**4 + z**3 - z - 1. Let l(y) = -2*s(y) + 6*u(y). Factor l(r).
-2*(r - 1)**2*(r + 1)*(r + 5)
Let a(u) = 103*u + 324. Let t be a(-3). Determine h, given that -t*h**2 - 3/2*h**3 + 15/4*h**4 + 6*h + 0 = 0.
-2, 0, 2/5, 2
Let k be (-207)/46*2/(-3). Let u be 2 - 6/(-4)*-1. Factor -y**2 + u - y**k + 1/2*y + 1/2*y**5 + 1/2*y**4.
(y - 1)**2*(y + 1)**3/2
Suppose 0 = 5*c - 24 - 36. Suppose 3*u + 6 = 4*o + 1, 5*u = 3*o - 1. Factor -o - c*y - 1 - 4*y**2 - 6*y**3 + 3*y**2 - 14*y**2.
-3*(y + 1)**2*(2*y + 1)
Let v be 4*(-2 - (-5 + 2)). Suppose 0 = -5*h + v*h + 3. Factor -d**2 + 0*d**2 + d**2 + h*d**3 - 3*d.
3*d*(d - 1)*(d + 1)
Let y(r) be the first derivative of 2/105*r**5 + 12/7*r**3 - 2/7*r**4 - 20 + 54/7*r - 36/7*r**2. Factor y(d).
2*(d - 3)**4/21
Let v(x) be the first derivative of -5*x**3/3 - 105*x**2 - 205*x + 35. What is u in v(u) = 0?
-41, -1
Let n(l) = l**3 - 2*l + 1. Let q(u) = 10*u**3 + 3*u**2 - 34*u + 21. Let c(h) = -36*n(h) + 4*q(h). Factor c(i).
4*(i - 2)*(i - 1)*(i + 6)
Let j(g) = 3*g**3 - 193*g**2 - 2. Let d(y) = 50*y**3 - 3280*y**2 - 35. Let v(s) = -2*d(s) + 35*j(s). Factor v(u).
5*u**2*(u - 39)
Suppose 0*n - 3/4*n**2 + 27/4 = 0. Calculate n.
-3, 3
Let r(h) = 3*h**2. Let g be r(1). Suppose -6 + g = -o. Factor -o*x + 5*x**2 + 3*x - 7*x**2 + 2*x**3.
2*x**2*(x - 1)
Suppose 0 = -5*i + 3*s - s + 116, -2*i = -s - 46. Find d such that i*d**3 - 8*d**3 - 14*d**3 - d**5 - d**4 = 0.
-2, 0, 1
Suppose 0 = 176*m - 124*m. Let g(u) be the second derivative of 0 - 1/95*u**5 + 0*u**4 + 0*u**6 + 1/57*u**3 + 1/399*u**7 + m*u**2 - 13*u. Factor g(i).
2*i*(i - 1)**2*(i + 1)**2/19
Let v be 60/(-210)*(14/(-2) + 0). Let -4*p**2 - p**2 + p**2 - 5*p**3 + 4*p**4 + 2*p - 3*p**v = 0. What is p?
-1, 0, 1/4, 2
Let j be 1 + 187/(-396) + (-1)/2. Let t = j + 2/9. Solve -o**4 + 1/2*o**2 + 5/4*o - o**3 + 1/2 - t*o**5 = 0.
-2, -1, 1
Let z be 63/12 + (15/(-12) - -1). Let l be 2*z/(-10) - (-7)/4. Let -1/4*m - 3/4*m**3 - 1/4*m**4 + 0 - l*m**2 = 0. Calculate m.
-1, 0
Find p, given that 4*p**5 - 33*p**3 + 4*p**4 + 48*p**2 - 8*p**4 + p**3 = 0.
-3, 0, 2
Suppose -8*j + 2/5*j**5 + 2/5*j**4 + 0 - 42/5*j**3 - 82/5*j**2 = 0. Calculate j.
-4, -1, 0, 5
Suppose 66 = -t + 12*t. Let d be t/(-24) - 34/(-8). Solve -1/2*m**3 + 5/4*m**2 + 0 - 5/4*m**d + 1/2*m = 0 for m.
-1, -2/5, 0, 1
Let p be -1 + 2 + ((-8)/4)/2. What is m in p*m + 2*m - 7*m + m**2 + 4 + m = 0?
2
Let h(u) = 4*u - 80. Let l be h(20). Let m be 2/3 - (-2 + 2). Factor -m*p**2 - 2/3*p + l.
-2*p*(p + 1)/3
Let h(m) be the first derivative of m**8/168 + 2*m**7/105 + m**6/60 - 4*m**2 + 6. Let t(a) be the second derivative of h(a). Solve t(s) = 0 for s.
-1, 0
Factor -33*u**3 - 150/7*u**2 + 0 + 0*u - 9/7*u**4.
-3*u**2*(u + 25)*(3*u + 2)/7
Let l(g) be the third derivative of g**5/24 + 65*g**4/16 - 50*g**3/3 + 350*g**2. Suppose l(i) = 0. What is i?
-40, 1
Let j(m) = -m**3 + 8*m**2 - 9*m. Let c(z) = -3*z**3 + 22*z**2 - 26*z. Let l(h) = 6*c(h) - 17*j(h). Factor l(s).
-s*(s + 1)*(s + 3)
Let a(i) = 4*i**2 - 40*i + 6. Let b be a(10). Let w(m) be the first derivative of b*m + 8 - m**3 - 3/2*m**2. Find p such that w(p) = 0.
-2, 1
Let z be 6*(-5)/(-8) + 12/(-16). Let g be (-2)/z*1/(-2). Factor 0*o**2 + 0*o**4 + 0 + 0*o + g*o**5 - 1/3*o**3.
o**3*(o - 1)*(o + 1)/3
Let d(i) be the first derivative of 143/12*i**4 + 34/3*i**2 + 182/9*i**3 - 28/15*i**5 - 49/18*i**6 - 12 + 8/3*i. Find l such that d(l) = 0.
-1, -2/7, 2
Let o = 7104 - 7049. Let -4/3 + 56/3*c - o*c**2 - 75*c**3 = 0. Calculate c.
-1, 2/15
Let t(y) be the second derivative of -y**6/150 - 3*y**5/100 + 3*y**4/10 + y - 112. Suppose t(o) = 0. What is o?
-6, 0, 3
Find t, given that 32/3*t**2 + 6*t + 4/9 + 46/9*t**3 = 0.
-1, -2/23
Factor 198/5*y**3 - 32/5*y**4 + 2/5*y**5 - 584/5*y**2 + 160*y - 384/5.
2*(y - 4)**3*(y - 3)*(y - 1)/5
Let o(h) = -h**2 - 82*h - 1423. Let k be o(-25). Let 5*l**3 + 0*l**4 - 5/3*l**5 + 0 - 10/3*l**k + 0*l = 0. Calculate l.
-2, 0, 1
Factor -4 + 2*c**2 - 1/3*c**3 - 5/3*c.
-(c - 4)*(c - 3)*(c + 1)/3
Let n(u) be the first derivative of -u**8/112 - u**7/70 + u**6/40 + u**5/20 + 3*u**2/2 - 6. Let f(x) be the second derivative of n(x). Factor f(c).
-3*c**2*(c - 1)*(c + 1)**2
Let m(o) = o**3 - 12*o**2 + 13*o - 18. Let q be m(11). Factor -k**q + 4*k**3 + 3*k**4 - 2 - 5*k + k.
2*(k - 1)*(k + 1)**3
Let x be (0 - 1)/(42 + -45). Suppose q - 2 = 1. Suppose x*r**4 + r**2 - 1/3*r + 0 - r**q = 0. What is r?
0, 1
Let j(v) be the second derivative of -v**6/90 + v**5/20 + 4*v**4/9 + 2*v**3/3 - 302*v. Determine t, given that j(t) = 0.
-2, -1, 0, 6
Let j(h) be the first derivative of -5 + 40*h**2 + 20*h - 55/4*h**4 - 5*h**3 + 4*h**5. Factor j(s).
5*(s - 2)**2*(s + 1)*(4*s + 1)
Suppose 5*i = 4*g - 0 - 3, 5*i = g + 18. Factor 2*w**3 - 5*w**4 + 0*w**3 + 12*w**2 - g*w**3 - 2*w**2.
-5*w**2*(w - 1)*(w + 2)
Let d(z) be the first derivative of 18/7*z**2 - 10 + 20/7*z - 1/7*z**4 + 4/7*z**3. Factor d(s).
-4*(s - 5)*(s + 1)**2/7
Let t be 5/(-45) - (-127)/9. Suppose -2*g = n - 11, -3*g + t = -0*g - n. Factor 0*z - 24*z**3 + 32*z**2 + 6*z**4 - 1/2*z**g + 0.
-z**2*(z - 4)**3/2
Let w = 9938/45045 - 2/819. Let r = 2/495 + w. Let -r - 10/3*k**2 - 14/9*k - 2*k**3 = 0. What is k?
-1, -1/3
Let f be (-42)/35*5*29. Let y = 179 + f. Solve -1/2*w**3 + 5*w**2 - 1/2*w**y - 2*w**4 + 2*w - 4 = 0 for w.
-2, 1
Let i = 121353/7 + -17331. Let -27/7 - i*p**2 - 1/7*p**4 + 10/7*p**3 + 54/7*p = 0. What is p?
1, 3
Suppose 4*o + 3*o = 3*o. Suppose 8*a - 6*a - 4 = o. Factor 2/3*r**3 - 4/3 - 10/3*r - a*r**2 + 2/3*r**4.
2*(r - 2)*(r + 1)**3/3
Let a(i) be the first derivative of -i**6/36 - i**5/24 + 17*i**3/3 - 4. Let p(r) be the third derivative of a(r). Let p(s) = 0. What is s?
-1/2, 0
Let x(b) = -34*b**3 - 32*b**2 + 2. Let p be x(-1). Determine o so that 112/3*o**2 - 16/3*o - 112/3*o**p - 60*o**3 + 0 + 196/3*o**5 = 0.
-1, 0, 2/7, 1
Suppose 12 = 117*k - 114*k. Let d be 2/(-11) - (1044/308 - k). Suppose -4/7 - d*t + 1/7*t**2 = 0. What is t?
-1, 4
Let x(a) be the second derivative of 23*a**5/30 + 67*a**4/54 - 2*a**3/27 + 72*a. Factor x(d).
2*d*(d + 1)*(69*d - 2)/9
Let h(i) = 4*i**3 - 16*i + 2. Let q(n) = 4*n**3 + n**2 - 22*n + 2. Let r(w) = -6*h(w) + 4*q(w). Factor r(f).
-4*(f - 1)*(f + 1)*(2*f - 1)
Let l(y) be the second derivative of 2/15*y**3 + 3*y + 0*y**2 + 2/15*y**4 + 1/20*y**5 + 1/150*y**6 + 0. Factor l(b).
b*(b + 1)*(b + 2)**2/5
Factor -70 - 11*p**2 + p**2 + 5*p**2 + 45*p.
-5*(p - 7)*(p - 2)
Let l be 3/7 - (-49)/686. Determine r, given that l*r**2 - r + 0 = 0.
0, 2
Suppose -5*n - 21 - 19 = 0. Let r be n/(-14)*(-3 - -10). Find c, given that -r + 7*c + 2*c - c + 0 - 8*c**3 + 4*c**4 = 0.
-1, 1
Let l be -2*(-5)/(80/732). Factor -54 - 126*i - 21*i**3 - l*i**2 - 3/2*i**4.
-3*(i + 1)**2*(i + 6)**2/2
Factor 1/5*x**4 - 39/5*x**3 + 72*x**2 + 80*x + 0.
x*(x - 20)**2*(x + 1)/5
Let l be (12/34)/3 - 17026/(-68). Let r = 251 - l. Factor 0 + r*k**3 + 1/2*k + k**2.
k*(k + 1)**2/2
Suppose -3*j + 11 - 1 = 4*k, -5*j - 22 = -3*k. Let w(v) = v + 1. Let d be w(-1). Factor -n**2 - 2*n - n**2 + 2*n**3 + d*n**2 + 2*n**k.
2*n*(n - 1)*(n + 1)**2
Factor 30*l**3 + 0 + 8*l**2 + 8/15*l.
2*l*(15*l + 2)**2/15
Let f(w) be the first derivative of -2*w**3/27 + w**2/9 + 4*w/9 - 76. Factor f(a).
-2*(a - 2)*(a + 1)/9
Let m(g) be the second derivative of -g**9/10584 - g**8/2940 + g**6/630 + g**5/420 - g**3/6 - 20*g. Let l(h) be the second derivative of m(h). Factor l(w).
-2*w*(w - 1)*(w + 1)**3/7
Solve -2/23*y**4 - 14/23*y**3 + 2/23*y**2 + 0 + 14/23*y = 0.
-7, -1, 0, 1
Let r be (0 + (-4)/32)/(53/(-1272)). Factor 1/5*k + 0 - 1/5*k**r + 0*k**2.
-k*(k - 1)*(k + 1)/5
Let k(n) be the first derivative of -n**6/18 - 2*n**5/5 - 2*n**4/3 - 76. Factor k(a).
-a**3*(a + 2)*(a + 4)/3
Suppose -3*d = -d + 4*i - 8, 0 = -3*d + 2*i + 4. Determine y, given that -31 + 31 + 20*y + 5*y**3 - 20*y**d = 0.
0, 2
Let v(n) be the second derivative of 2/9*n**4 - 7/10*n**5 + 1/5*n**6 + 0*n**2 + 30*n + 4/9*n**3 + 0. Determine j so that v(j) = 0.
-1/3, 0, 2/3, 2
Let x(r) be the third d