1*n - 202. Let q(x) = x**2 + x + 1. Let j(b) = i(b) + 4*q(b). Factor j(o).
-(o - 3)**2*(o + 2)*(o + 11)
Suppose -12*v + 8*v = -36. Solve 100*z - v*z**2 + 5*z**2 - 105*z - z**3 - 2 = 0.
-2, -1
Let i be 58/(4*(-2)/(-4)). Suppose 0 = -5*j - i + 74. Factor -3*a**5 + j*a**5 + 9*a**3 - 2*a**2 - a**4 + 16*a**4 - 3*a - a**2.
3*a*(a + 1)**3*(2*a - 1)
Determine t so that 21/2*t**2 + 36 + 39*t = 0.
-2, -12/7
Let f(w) = w**2 - 6*w - 4. Let r be f(7). Let b be 1/(r/18) + -4. Find g, given that b*g**2 + 2*g**2 - 4*g**2 - 4*g**2 = 0.
0
Let d(z) be the first derivative of -z**5/10 - 5*z**4/8 - z**3 - 5. Suppose d(h) = 0. Calculate h.
-3, -2, 0
Suppose 5*k + d = 2, 16*k = 19*k + 5*d - 10. Factor 1/2*j**4 + 0*j**2 + k + 0*j - 3/2*j**5 + j**3.
-j**3*(j - 1)*(3*j + 2)/2
Let r = 23009/3 + -7668. Factor 1/3*m**4 + 0*m + 0 - r*m**3 + 4/3*m**2.
m**2*(m - 4)*(m - 1)/3
Suppose 3*a + 99 = 7*a + 3*t, -a + 3*t + 21 = 0. Factor 11*g**4 + 9*g + 37*g**3 + 4*g**5 - 5*g + a*g**2 + 10*g**4.
g*(g + 1)*(g + 2)**2*(4*g + 1)
Suppose 3*r - 2*r - 11 = 2*a, a = 4*r - 16. Suppose -3*p - 3 = -r. Let 0*f + p + 1/4*f**2 = 0. Calculate f.
0
Suppose -8 = -5*w + 2. Factor -19 + 49 - u**2 - 27 - 2*u**w.
-3*(u - 1)*(u + 1)
Let t(h) be the first derivative of h**5/25 - h**4/60 - 46*h + 36. Let n(o) be the first derivative of t(o). Factor n(z).
z**2*(4*z - 1)/5
Factor 2*l**5 + 192*l - l**5 - 9*l**2 - 92*l - 90*l + 9*l**4 - 11*l**3.
l*(l - 1)**2*(l + 1)*(l + 10)
Find y such that -16 - 4*y**2 - 46*y - 3*y + 29*y = 0.
-4, -1
Suppose -369*q - 12 = -375*q. Factor 3*o + 9/2 + 1/2*o**q.
(o + 3)**2/2
Let h(p) be the first derivative of -3/4*p**4 + 0*p**3 + 0*p + 0*p**5 + 1/2*p**6 + 10 + 0*p**2. Factor h(t).
3*t**3*(t - 1)*(t + 1)
Let j = 36 - 31. Let t be (-2 - 1) + j*1. Solve -5*i + 3*i**t + 2*i + 2*i**3 + 2 - 4 = 0 for i.
-2, -1/2, 1
Suppose -3*b = -13 + 4. Let o(k) = -20*k**2 + 8*k. Let s be -5 + 12/(-8 + 4). Let y(h) = -7*h**2 + 3*h. Let w(p) = b*o(p) + s*y(p). Factor w(j).
-4*j**2
Let o(z) be the third derivative of -z**5/240 - 7*z**4/24 + 5*z**3/2 - 57*z**2 - 1. Factor o(w).
-(w - 2)*(w + 30)/4
Suppose 0 = 3*d - 32 + 26. Let q(i) be the second derivative of -1/8*i**4 - 27/4*i**d + 4*i + 0 + 3/2*i**3. Factor q(v).
-3*(v - 3)**2/2
Let v = 589/13 - 45. Let j be (-4)/(80/(-12)) - (1130/(-325) - -3). Solve 8/13*w**3 + j*w**2 + v*w - 2/13 = 0 for w.
-1, 1/4
Let s(m) be the second derivative of -m**6/165 - m**5/110 + m**4/22 + 5*m**3/33 + 2*m**2/11 + 69*m. Let s(p) = 0. What is p?
-1, 2
Let d(k) be the second derivative of -21*k**5/160 - 15*k**4/32 + 3*k**3/8 + 3*k**2 + 99*k. Suppose d(s) = 0. What is s?
-2, -8/7, 1
Suppose 0 = -123*g + 128*g - 10. Let i(s) be the third derivative of 0*s**5 + 0*s**4 + 2/105*s**7 + 0 - 3*s**g + 0*s**3 + 0*s - 1/30*s**6. Factor i(d).
4*d**3*(d - 1)
Let k be (4 - (-267)/(-72)) + 2/(-12). Determine q so that -3/8 + k*q**2 - 1/4*q = 0.
-1, 3
Suppose 3*o - 13 = -5*b, b - 13*o = -11*o. Let i(h) be the second derivative of -1/50*h**5 + 2*h + 1/12*h**4 - 1/30*h**6 + 1/15*h**3 + 0*h**b + 0. Factor i(u).
-u*(u - 1)*(u + 1)*(5*u + 2)/5
Let b be 1 + 1 + (-54)/(-3). Suppose p - b = -3*p. Factor 6*k**5 - 6*k**4 - 6*k + 4*k**2 + 2 + 4*k**3 - 2*k**p - 2*k**5 + 0*k**5.
2*(k - 1)**4*(k + 1)
Let l(s) be the first derivative of -s**6/27 - 16*s**5/45 - 2*s**4/9 + 160*s**3/27 + 64*s**2/9 - 512*s/9 + 149. Factor l(k).
-2*(k - 2)**2*(k + 4)**3/9
Let d be 1/10 - (-4158)/8820. Factor -3/7*w**3 + d*w + 0 + 1/7*w**4 + 0*w**2.
w*(w - 2)**2*(w + 1)/7
Let d(w) be the second derivative of 5*w**7/168 + w**6/12 + w**5/10 - 3*w**4/2 - w. Let a(l) be the third derivative of d(l). Factor a(z).
3*(5*z + 2)**2
Suppose -167*v - 119*v = 0. Factor 44/13*h**3 + v + 48/13*h**2 + 2/13*h**5 + 16/13*h**4 + 18/13*h.
2*h*(h + 1)**2*(h + 3)**2/13
Let n(u) be the third derivative of -1/1440*u**6 + 1/36*u**3 - 5/288*u**4 + 1/180*u**5 + 0 + 0*u + 10*u**2. Find v such that n(v) = 0.
1, 2
Find g, given that -18*g**2 + 1410*g - 12*g**3 + 18*g**4 + 1415*g - 2810*g - 3*g**5 = 0.
-1, 0, 1, 5
Let v(l) be the first derivative of 10*l**6/3 - 83*l**5 + 1355*l**4/4 - 1375*l**3/3 + 245*l**2/2 + 170*l + 428. Determine w, given that v(w) = 0.
-1/4, 1, 2, 17
Factor -40*n + 75/2*n**2 + 32/3.
(15*n - 8)**2/6
Find b, given that -3/4*b**5 + 15/4*b**4 + 9/2*b - 15/4*b**3 - 15/4*b**2 + 0 = 0.
-1, 0, 1, 2, 3
Let j(f) be the first derivative of 58*f**3/3 + 88*f**2 + 6*f - 706. Factor j(k).
2*(k + 3)*(29*k + 1)
Let l = -4/491 - -1501/3437. Let 0 + l*c - 12/7*c**5 - 33/7*c**4 - 3/7*c**2 - 27/7*c**3 = 0. What is c?
-1, 0, 1/4
Solve -19/3*u**2 - 25/3*u**5 + 0 - 73/3*u**4 - 23*u**3 + 2/3*u = 0.
-1, 0, 2/25
Suppose -2*i - 4*d = 3*i - 101, i - d = 22. Suppose -14 = -28*j + i*j. Determine f, given that 1/3 - f + f**j - 1/3*f**3 = 0.
1
Let d(f) be the third derivative of 0 + 2/21*f**3 + 1/60*f**6 - 1/105*f**5 - 10*f**2 + 0*f - 1/12*f**4. Factor d(w).
2*(w - 1)*(w + 1)*(7*w - 2)/7
Suppose -24 = 2*q + f - 29, -f - 16 = -5*q. Find v, given that 0 + 0*v**2 - 1/7*v + 1/7*v**q = 0.
-1, 0, 1
Let d be (-24 - -23)*(-2)/(-59). Let s = d - -124/177. Suppose s*c**2 - 2/9*c**3 + 0 - 4/9*c = 0. Calculate c.
0, 1, 2
Let d = -13/7167 - 20088958/78837. Let p = d - -255. Solve 0*q**2 + 0*q + 2/11*q**3 + p*q**5 + 0 + 4/11*q**4 = 0 for q.
-1, 0
Suppose -5*f + 4 = 3*b, 0 = -f - 1 - 0. Factor 92*d**2 + d**4 + 2*d**3 + 0*d**4 + 6*d - 82*d**2 - b*d**4.
-2*d*(d - 3)*(d + 1)**2
Let h(m) = m**2 + 2*m - 16. Let w be h(-5). Let c(v) = 4*v**2 + 4*v - 8. Let r(f) = -f**2 + 1. Let s(q) = w*c(q) - 6*r(q). Factor s(i).
2*(i - 1)**2
Let j(h) = 9 + 2 + 0*h + h. Let y be j(-8). Determine a so that -4*a - y*a**2 + 34 - 34 + a = 0.
-1, 0
Let v(b) be the first derivative of -b**5/10 + 3*b**4/4 - 4*b**3/3 - 19. Determine g so that v(g) = 0.
0, 2, 4
Let h(o) be the third derivative of o**6/90 - 61*o**5/180 + 71*o**4/72 - 7*o**3/9 + o**2 + 13. Let h(m) = 0. Calculate m.
1/4, 1, 14
Determine v so that 8/13*v**2 + 0 + 12/13*v**3 + 8/13*v**4 + 2/13*v + 2/13*v**5 = 0.
-1, 0
Let p(c) be the second derivative of -c**4/3 + 16*c**3/3 - 3*c + 7. Factor p(s).
-4*s*(s - 8)
Factor -9/4*f**2 - 15/4 - 23/4*f - 1/4*f**3.
-(f + 1)*(f + 3)*(f + 5)/4
Let q(f) = 3*f**3 - 4*f + 15*f**2 - 6 - 6*f**2 - 2*f. Let l(k) = -k**3 + 1. Let j(t) = -6*l(t) - q(t). Determine r so that j(r) = 0.
0, 1, 2
Let g(r) be the first derivative of -46*r**3 + 13 - 7/10*r**5 + 18*r**2 + 43/4*r**4 + 0*r. Factor g(m).
-m*(m - 6)**2*(7*m - 2)/2
Suppose -4*a + 9*a - 100 = 0. Let r = a - 16. Factor -7*y**3 - 4*y**4 + 19*y**3 - 5*y**2 + r*y - 7*y**2.
-4*y*(y - 1)**3
Let k = 5708 - 5705. Factor 3/8 + 3/8*s - 3/8*s**2 - 3/8*s**k.
-3*(s - 1)*(s + 1)**2/8
Let h(t) be the second derivative of -t**8/4704 - 13*t**7/8820 + t**6/420 - 10*t**4/3 - 2*t - 3. Let v(a) be the third derivative of h(a). Factor v(r).
-2*r*(r + 3)*(5*r - 2)/7
Let f(r) be the first derivative of -2*r**6/3 - 4*r**5/5 + 5*r**4 + 4*r**3/3 - 16*r**2 + 16*r + 401. Solve f(p) = 0.
-2, 1
Determine q, given that -48/5*q - 3/5*q**4 - 24/5*q**2 + 0 + 21/5*q**3 = 0.
-1, 0, 4
Factor -14*b**2 - 43*b**2 + 7*b - 54*b**2 + 3*b + 66*b**2.
-5*b*(9*b - 2)
Let o = 63 + -52. Let q = 13 - o. Solve 2/9*x**q + 4/9*x + 0 = 0.
-2, 0
Determine n so that 108/7*n**4 + 264/7*n + 80/7 - 2*n**5 - 116/7*n**2 - 178/7*n**3 = 0.
-1, -2/7, 2, 5
Let o(n) be the second derivative of n**4/3 + 28*n**3/3 + 98*n**2 + 3*n + 2. Solve o(f) = 0.
-7
Let x be (-4)/(-30) - (-952)/510. Let z(t) be the second derivative of -5/3*t**3 - 1/2*t**4 + 0 - 2*t**2 + 1/10*t**5 + x*t + 1/15*t**6. Factor z(f).
2*(f - 2)*(f + 1)**3
Let s(j) be the first derivative of -j**4/60 + j**3/10 - j**2/5 - 5*j + 12. Let y(m) be the first derivative of s(m). Determine p so that y(p) = 0.
1, 2
Let -44 + 80*j - 93 + 37 - 649*j**2 + 633*j**2 = 0. What is j?
5/2
Let x be 18/(-72) + (-402)/(-8). Factor -54*f - 290 + 4*f**2 - x*f + 966.
4*(f - 13)**2
Suppose -2*a + 6 = 2*g, -542*g = -537*g + 3*a - 17. Determine j, given that g*j**2 + 16/3*j + 1/6*j**4 + 8/3 + 4/3*j**3 = 0.
-2
Suppose 5*k - 10 = 0, -k - 24 = 3*b - 101. Suppose -4*r = -b + 9. Find g, given that 0 + 5/3*g**r - 2/3*g**3 + 0*g**2 + 0*g = 0.
0, 2/5
Solve 6*x - 40/7*x**3 - 2/7*x**5 + 20/7*x**2 + 16/7*x**4 - 36/7 = 0.
-1, 1, 2, 3
Let l = 25 - 171/7. Factor -2/7*u**5 - l*u**2 + 6/7*u - 4/7*u**3 - 2