*c**5 + 5 - 108*c**3 - 162*c + 33*c**4. Factor g(w).
2*(w - 3)**4*(w - 1)
Suppose -4*k = 5*g + 35, 21*g - 24*g = -5*k + 21. Factor k - 2/9*z**2 - 8/9*z.
-2*z*(z + 4)/9
Let t be -4*(125/20)/(-5). Let a(s) be the first derivative of 1/6*s + 1/24*s**4 - t + 1/4*s**2 + 1/6*s**3. Let a(u) = 0. Calculate u.
-1
What is q in -145*q + 282*q - 2*q**2 - 141*q = 0?
-2, 0
Suppose g + h = 1, -2 = -3*g + h + 13. Let o be (4/3)/(4/(-5)*15/(-18)). Factor -g*w**o - 16/5 - 4/5*w**3 - 32/5*w.
-4*(w + 1)*(w + 2)**2/5
Factor 215 - 215 + 27*p - 6*p**3 + 24*p**2 + 12*p**2 - 12*p**4 + 3*p**5.
3*p*(p - 3)**2*(p + 1)**2
Let a be (4315/10)/((-45654)/(-272)). Let j = a - -2/3261. Find z, given that 3/7*z**2 + 27/7 + j*z = 0.
-3
Suppose 4*v - p = 7, v - 6*v - 2*p + 12 = 0. Let k**3 - 7*k**2 - 2*k**v + 0*k**2 + 9*k + 3*k**2 = 0. Calculate k.
0, 3
Let w(f) = -19*f**2 + 307*f - 44. Let h be w(16). Factor 0 + 3*a**h + 0*a**3 + 3/2*a - 3*a**2 - 3/2*a**5.
-3*a*(a - 1)**3*(a + 1)/2
Let b(k) be the first derivative of 3*k**4/4 + 12*k**3 - 93*k**2/2 - 126*k + 770. Factor b(z).
3*(z - 3)*(z + 1)*(z + 14)
Suppose -3*c = -m + 37, 2*m = c - 0*c + 4. Let j(i) = i + 16. Let x be j(c). Determine o so that 5*o**3 + 7*o + 12*o**x - 2*o**3 + o**3 + o = 0.
-2, -1, 0
Let q(o) be the third derivative of 1/90*o**5 + 14*o**2 + 0 + 0*o + 1/1008*o**8 - 1/120*o**6 + 0*o**4 + 0*o**7 + 0*o**3. Solve q(x) = 0.
-2, 0, 1
Let t be (-1 - 48/(-40))/(3 + 0). Let a(d) be the second derivative of 0*d**2 + t*d**3 + 0*d**4 + 0 + 3*d - 1/50*d**5. Solve a(l) = 0.
-1, 0, 1
Determine n so that -95*n**2 - 4*n - 70*n**3 - 6 - 110*n**3 - 16*n**2 + 67*n = 0.
-1, 2/15, 1/4
Let w(r) be the first derivative of -2*r**3/21 - 128*r**2/7 + 258*r/7 + 468. Suppose w(m) = 0. Calculate m.
-129, 1
Let o(n) be the second derivative of 3*n**5/10 + 15*n**4/4 - 29*n**3/2 - 27*n**2 - 173*n. Solve o(r) = 0.
-9, -1/2, 2
Let u(g) = g**2 + g - 2. Let z(w) = 3*w**2 + 4*w - 5. Let y(s) = -15*u(s) + 6*z(s). Find b such that y(b) = 0.
-3, 0
Let o = 17683 + -229875/13. Let -o*k + 16/13 - 2/13*k**2 = 0. What is k?
-4, 2
Let o(p) be the first derivative of -p**4 + 4/15*p**5 + 0*p**3 + 8/3*p**2 + 0*p - 9. Factor o(w).
4*w*(w - 2)**2*(w + 1)/3
Let n = -57 - -65. Let -n*a + 8*a**3 - 4*a**2 - 2*a**2 + 2*a**2 + 4*a**4 = 0. Calculate a.
-2, -1, 0, 1
Suppose 38*f**3 + 40*f - 110*f**3 + 25*f**3 + 7*f**5 - 21*f**2 + 9*f**4 + 12 = 0. What is f?
-3, -1, -2/7, 1, 2
Let h(p) be the third derivative of p**5/330 - p**4/12 - 4*p**3/11 - 6*p**2 - 7*p. Factor h(d).
2*(d - 12)*(d + 1)/11
Suppose 4*i = -4*z + 28, -5*i + 4*i - 4*z = -22. Factor -6*p + 6*p**3 + 0*p**i - 15*p**4 - 4 + 4 + 15*p**2.
-3*p*(p - 1)*(p + 1)*(5*p - 2)
Suppose 4*i - 8 + 0 = 0. Factor -i*p**4 - 29*p**3 - 12*p**3 - 26*p**2 - 45*p - 72 + 21*p**3 + 165*p.
-2*(p - 1)**2*(p + 6)**2
Let i be 49/12 - (-47)/(-564). Factor 5/4*n**i + 1/4*n**3 + 0*n**2 + 0*n + 0 + 3/2*n**5.
n**3*(2*n + 1)*(3*n + 1)/4
Factor -210*g**2 + 103 - 220*g + 107*g**4 - 170*g**4 + 15*g**3 + 88*g**4 + 17.
5*(g - 3)*(g + 2)**2*(5*g - 2)
Let h = -2861 + 20033/7. Factor -h - 3/7*p**2 - 11/7*p.
-(p + 3)*(3*p + 2)/7
Let d = 50 + -60. Let h(q) = -4*q**2 - 38*q + 20. Let x be h(d). Suppose 2/3*y + x + 2/9*y**2 = 0. Calculate y.
-3, 0
Let i(j) be the second derivative of -2/5*j**2 + 1/100*j**5 - 1/30*j**4 + 0 - 4*j - 7/30*j**3. Factor i(k).
(k - 4)*(k + 1)**2/5
Let y(p) be the first derivative of p**4 + 0*p + 0*p**2 - 16/25*p**5 - 8/15*p**3 + 10 + 2/15*p**6. Find f, given that y(f) = 0.
0, 1, 2
Let j = -956 + 959. Let y(n) be the third derivative of 0*n - 1/1365*n**7 + 1/39*n**j - 1/390*n**6 + 0 + 1/78*n**4 + 0*n**5 - 8*n**2. Factor y(t).
-2*(t - 1)*(t + 1)**3/13
Let w = 145 + -142. Suppose -81 + 93 = w*a. Factor 3/5*p**2 + 3/5*p**a - 6/5*p**3 + 0*p + 0.
3*p**2*(p - 1)**2/5
Let h(v) = v**3 + 2*v**2 - 22*v - 43. Let z be h(-8). Let y = z - -253. Factor -3/4*l + 3/2 - 3/4*l**y.
-3*(l - 1)*(l + 2)/4
Find w, given that -21296/7 - 132/7*w**2 - 2904/7*w - 2/7*w**3 = 0.
-22
Let r(f) be the third derivative of -f**9/6048 + f**7/840 - f**5/240 - 5*f**3 - f**2. Let o(j) be the first derivative of r(j). Find b such that o(b) = 0.
-1, 0, 1
Let p(h) = h**2 - 22*h + 6. Let z(w) = 2*w - 1. Let f(o) = -p(o) - 6*z(o). Suppose f(y) = 0. Calculate y.
0, 10
Determine r so that 4/5*r + 1/10*r**2 + 0 = 0.
-8, 0
Let j = -128 + 135. Suppose 0 = 4*c + f - 13, 3*c - 4 = -2*f + j. Find a such that -60*a**c - 16/5*a - 50*a**4 + 0 - 24*a**2 = 0.
-2/5, 0
Factor 0 + 14/3*p**2 - 1/2*p**4 - 8/3*p - 2/3*p**3.
-p*(p - 2)*(p + 4)*(3*p - 2)/6
Let c = 86 - 82. Factor 57*k + 48 - 120*k + 99*k**2 + 3*k**c - 30*k**3 - 57*k.
3*(k - 4)**2*(k - 1)**2
Let o(l) be the second derivative of -l**6/135 - l**5/15 + 4*l**4/27 + 2*l**3/9 - 7*l**2/9 - 3*l - 68. Let o(u) = 0. Calculate u.
-7, -1, 1
Let d be ((-12)/32)/((-1)/8). Find f, given that -2*f**3 - 2*f**5 + 5*f**2 + 6*f + 2 - f**2 - 2*f**d - 6*f**4 = 0.
-1, 1
Let z be -2*(-2)/(-8)*4 - -5. Let t(d) be the first derivative of -9/2*d**2 - 2*d**z + 9/5*d**5 + 1/2*d**6 - 3*d - 5 + 3/2*d**4. Suppose t(j) = 0. What is j?
-1, 1
Let k(t) be the first derivative of 0*t**3 - 5 - 1/14*t**4 + 0*t + 0*t**2. Let k(y) = 0. What is y?
0
Determine p so that 40/7*p + 39/7 + 1/7*p**2 = 0.
-39, -1
Let x be 34/(-3)*8307/(-15691). Determine c, given that x - 36*c - 39/2*c**2 = 0.
-2, 2/13
Let j(z) be the second derivative of -1/7*z**3 - 9*z + 0 + 2/21*z**4 - 1/7*z**2. Factor j(a).
2*(a - 1)*(4*a + 1)/7
Let o(h) be the first derivative of -5*h**4/12 - 35*h**3/3 - 245*h**2/2 - 8*h + 35. Let a(q) be the first derivative of o(q). Solve a(v) = 0.
-7
Let p(o) be the first derivative of -5*o**4/2 - 14*o**3/3 + 28*o**2 + 24*o - 960. Factor p(z).
-2*(z - 2)*(z + 3)*(5*z + 2)
Let v(h) be the second derivative of 2*h**6/25 - 3*h**5/5 - 3*h**4/20 + 7*h**3/5 + 3*h**2/2 - 99*h. Determine t, given that v(t) = 0.
-1/2, 1, 5
Let j(i) be the second derivative of i**4/28 + 4*i**3/7 + 6*i - 2. Factor j(m).
3*m*(m + 8)/7
Let m be (-385)/(-5005)*(-65)/(-3). Solve m*t**2 + 1/3*t**4 + 0 - 4/3*t**3 - 2/3*t = 0 for t.
0, 1, 2
Let k(j) be the first derivative of j**7/14 - j**6/5 + j**4/2 - j**3/2 + 9*j + 32. Let v(o) be the first derivative of k(o). Solve v(s) = 0.
-1, 0, 1
Factor -4*p + 2 - 5/2*p**2.
-(p + 2)*(5*p - 2)/2
Let x = -5/68 - -113/612. Let m(n) be the second derivative of x*n**3 + 3*n - 1/9*n**4 + 2/3*n**2 - 1/30*n**5 + 0. Factor m(d).
-2*(d - 1)*(d + 1)*(d + 2)/3
Let l be 120/42*(-35)/(-2). Determine q so that l + 2*q**2 - q - 19*q - 4*q**2 + 4*q**2 = 0.
5
Let q be (-2)/5*-1*(-60)/(-12). Let g(k) be the third derivative of 2*k**3 + 0*k + 1/20*k**5 + 4*k**q + 1/2*k**4 + 0. Suppose g(n) = 0. Calculate n.
-2
Let k(c) = -c**3 + c. Let q(b) = -b**5 - b**4 + b**2. Let i(z) = -5*z**3 + 4*z. Let w(u) = 4*i(u) - 4*q(u). Let h(t) = -8*k(t) + w(t). Factor h(x).
4*x*(x - 1)**2*(x + 1)*(x + 2)
Let a be (1122/18)/((-2)/(-6)). Let r = a + -125. Suppose -4 - 62*v + r*v + 4*v**2 = 0. What is v?
-1, 1
Let h(m) = 65*m**2 - m - 1. Let a be h(-2). Let p = a + -257. Solve -4/3*i - 43/3*i**3 + 8*i**2 - 7/3*i**5 + 0 + 10*i**p = 0 for i.
0, 2/7, 1, 2
Factor 238*l + 0*l**2 + 3*l**2 - 7*l**2 - 230*l.
-4*l*(l - 2)
Factor 260*x**3 - 5*x**4 - 195*x**3 + 8 - 8.
-5*x**3*(x - 13)
Let l(w) = -w**3 + 5*w**2 + w - 2. Let d be l(5). Solve 64 + d*o**2 + 15*o - 6*o**2 - 73 - 3*o**3 = 0.
-3, 1
Let p = 1217 + -1213. Let o(j) be the second derivative of 9/14*j**2 + 2/7*j**3 + 1/28*j**p + 4*j + 0. Factor o(q).
3*(q + 1)*(q + 3)/7
Let t(y) be the first derivative of -3*y**4/16 + 11*y**3/4 - 12*y**2 + 21*y + 49. Factor t(a).
-3*(a - 7)*(a - 2)**2/4
Let l = 1/6185 - -24719/129885. Factor l*o**3 + 0 + 2/21*o**2 + 0*o + 2/21*o**4.
2*o**2*(o + 1)**2/21
Solve 1/3*y**2 - 16/3*y + 0 = 0.
0, 16
Let s(z) be the third derivative of -z**6/30 + 10*z**5/3 - 16*z**4 + 415*z**2. Let s(j) = 0. Calculate j.
0, 2, 48
Let o be (-1)/(-2)*(10 - 256/48) + -2. Let d = 1 + -1. Factor 1/3*u + d + o*u**3 + 2/3*u**2.
u*(u + 1)**2/3
Let w(t) = t**2 + 20*t + 51. Let r be w(-17). Let m be r/4 + -2 - (-45)/20. What is g in 1/4*g**2 + 0 - m*g = 0?
0, 1
Let n(j) be the first derivative of -2/15*j**3 + 0*j + 1/5*j**2 - 13. Factor n(d).
-2*d*(d - 1)/5
Suppose -334*c = -337*c + 30, 0 = 2*y + c - 14. Factor 2/3 + 1/3*m**y + m.
(m + 1)*(m + 2)/3
Fac