3 = 0. Calculate o.
1, 2
Let a(m) = -m + 1. Let t be a(7). Let r be ((-4)/96*-3)/((-3)/t). Factor 1/2*y**2 - r*y**4 - 1/4*y**3 + 0*y + 0.
-y**2*(y - 1)*(y + 2)/4
Let x be (-151)/(-5) - 5/25. Let n be ((-14)/(-35))/(3/x). Determine f, given that 0 + 3/4*f**n + 0*f - 3/4*f**3 + 0*f**2 = 0.
0, 1
Let j be 8/(96/(-273))*(-1)/(14/18). What is t in j*t**4 + 0*t + 10*t**3 + t**2 + 81/4*t**5 + 0 = 0?
-1, -2/9, 0
Let z(l) be the third derivative of -l**6/80 + 2*l**5/5 - 13*l**4/4 + 12*l**3 - 317*l**2. Find h, given that z(h) = 0.
2, 12
Let b = 461 + -459. Let o(j) be the third derivative of 0 + 8*j**b - 2/35*j**6 - 1/84*j**4 + 3/70*j**5 + 0*j + 16/735*j**7 + 0*j**3. Factor o(x).
2*x*(x - 1)*(4*x - 1)**2/7
Suppose 6*x = 8*x - 6. Let w(u) be the second derivative of 3*u + 1/50*u**6 + 0*u**5 - 1/60*u**4 + 0*u**x + 0 - 1/105*u**7 + 0*u**2. Solve w(y) = 0.
-1/2, 0, 1
Let k(p) = -8*p + 149. Let f be k(18). Let s(c) be the third derivative of 1/18*c**4 - 1/6*c**3 - 1/180*c**f + 4*c**2 + 0 + 0*c. Factor s(g).
-(g - 3)*(g - 1)/3
Let u(v) be the first derivative of v**6/2 + 9*v**5/5 - 15*v**4/2 + 2*v**3 + 27*v**2/2 - 15*v - 326. Factor u(r).
3*(r - 1)**3*(r + 1)*(r + 5)
Let g(f) be the third derivative of -f**6/660 - 4*f**5/165 + f**4/132 + 8*f**3/33 + f**2 - 33*f. Factor g(d).
-2*(d - 1)*(d + 1)*(d + 8)/11
Solve -22/15*a - 4/15*a**2 + 14/5 = 0.
-7, 3/2
Solve -27 + 8*d**2 - 36*d - 15*d**3 + 26*d**3 - 2*d**2 - 3*d**4 + d**3 = 0 for d.
-1, 3
Suppose -4*x - 3*y - 16 = -22, 3*y = 6. Let w(c) be the third derivative of 0*c**4 + 0*c**5 + 0 + 4*c**2 + x*c**3 - 1/600*c**6 + 0*c. Factor w(n).
-n**3/5
Let v be (-46)/4 - (2 - 18/12). Let i be (5/((-20)/3))/(3/v). Factor -9/2 + 12*n - 1/2*n**4 + 4*n**i - 11*n**2.
-(n - 3)**2*(n - 1)**2/2
Let m be (-9)/18 - (-18)/(-4). Let v be m - 4/(8/(-14)). Suppose 0 + 0*r - 1/2*r**3 - 1/2*r**4 + 0*r**v = 0. Calculate r.
-1, 0
What is n in -24*n**3 + 4/7*n + 230/7*n**2 - 16/7 = 0?
-1/4, 2/7, 4/3
Let 0 + 2/5*x**2 + 58/5*x = 0. Calculate x.
-29, 0
Let n(d) be the first derivative of 6 + 9*d**2 + d**3 - 33*d - 11*d + 71*d. Solve n(w) = 0 for w.
-3
Suppose 41*z - 2404 + 2322 = 0. What is t in 3/2 + 1/2*t**z + 2*t = 0?
-3, -1
Let h(z) = -z - 2. Let y be h(4). Let d(v) = -2*v**3 + 5*v**2 + 5*v + 1. Let r(o) = -o**2 - o - 1. Let t(s) = y*r(s) - 2*d(s). Find a such that t(a) = 0.
-1, 1
Let g(l) be the first derivative of -l**6/50 - l**5/100 - 8*l + 5. Let r(s) be the first derivative of g(s). Factor r(j).
-j**3*(3*j + 1)/5
Suppose -3*w + 0*w + 29 - 17 = 0. Determine k, given that 1/2*k**3 + 0 - 1/6*k**5 - 1/6*k**2 + 1/6*k**w - 1/3*k = 0.
-1, 0, 1, 2
Suppose 0*f + 2/9*f**4 + 0 + 0*f**2 - 4/9*f**3 + 2/9*f**5 = 0. Calculate f.
-2, 0, 1
Let q(j) = j**3 - 65*j**2 - 68*j + 132. Let z be q(66). Find c such that 9/2*c**2 - 6 + z*c + 3/2*c**3 = 0.
-2, 1
Suppose -5*v = -5*q + 15, -3*v + 2*q = 1 + 3. Let h(b) = -b**3 - 3*b**2 - b - 3. Let y be h(-3). Solve y*s**2 - v*s**2 + 3*s + 0*s**2 - s = 0 for s.
0, 1
Let g(d) = 3*d**3 + 20*d**2 - 55*d + 30. Let o(m) = -5*m**3 - 40*m**2 + 110*m - 60. Let a(u) = 5*g(u) + 2*o(u). Determine r, given that a(r) = 0.
-6, 1
Suppose -5*n - 3*v + 5*v + 16 = 0, n - 2 = v. Let q(h) be the first derivative of -2/9*h**3 + 0*h + 0*h**n + 2/15*h**5 - 1/6*h**2 + 8 + 1/18*h**6. Factor q(p).
p*(p - 1)*(p + 1)**3/3
Let f = 23 + -21. Let w be (-29)/(-9) + f/(-9). Factor -147 - 3*i**w + 9*i**2 - 10*i + i + 150.
-3*(i - 1)**3
Suppose 23*k + 58401 = 58493. Find d, given that -2*d**k + 1/3*d**5 + 0*d + 0 - 4/3*d**2 + 3*d**3 = 0.
0, 1, 4
Let z(h) be the third derivative of h**8/1680 - h**7/1050 - h**6/120 + h**5/60 + h**4/30 - 2*h**3/15 + 70*h**2. Suppose z(n) = 0. Calculate n.
-2, -1, 1, 2
Factor 32*w**2 + 10*w**3 + 14*w**3 - 4*w**5 - 71*w - 1 + 83*w + 1.
-4*w*(w - 3)*(w + 1)**3
Let i = -254 + 254. Let t(d) be the third derivative of i*d**4 + 1/33*d**3 + 0*d - d**2 - 1/330*d**5 + 0. Factor t(h).
-2*(h - 1)*(h + 1)/11
Let 14*u**3 + 29*u**4 - 3*u - 48*u**2 + 2*u**3 - 32 - 31*u**4 + 67*u = 0. What is u?
2
Let y(v) = -3*v**2 + 4*v - 3. Let h be y(2). Let f = h - -9. Factor 2*q - 1 - 3 - 2*q**f + q + 3*q.
-2*(q - 2)*(q - 1)
Let i(y) be the third derivative of 1/2688*y**8 + 1/192*y**6 + 0*y + 1/240*y**5 + 0 - 32*y**2 + 0*y**4 + 1/420*y**7 + 0*y**3. Factor i(c).
c**2*(c + 1)**2*(c + 2)/8
Let k(o) be the second derivative of -o**6/15 - 3*o**5/10 + 2*o**4/3 + 88*o. What is x in k(x) = 0?
-4, 0, 1
Let c = 104003/80 - 1300. Let j(t) be the second derivative of c*t**5 - 1/4*t**3 - 1/16*t**4 + 0 + 0*t**2 - t. Let j(k) = 0. Calculate k.
-1, 0, 2
Let x(c) be the second derivative of c**7/126 - c**6/18 - 19*c**5/60 + 65*c**4/36 + 25*c**3/3 + 3*c - 188. Factor x(w).
w*(w - 5)**2*(w + 2)*(w + 3)/3
Let t(r) = r - 8 - 3*r**2 + r**2 - 5*r**2 + 16*r. Let w(n) = -15*n**2 + 35*n - 15. Let y(x) = -5*t(x) + 2*w(x). Factor y(f).
5*(f - 2)*(f - 1)
Let v = -1376 - -1376. Factor -1/7 - 2/7*q + 1/7*q**4 + 2/7*q**3 + v*q**2.
(q - 1)*(q + 1)**3/7
Let c(g) be the second derivative of -3/20*g**5 - 17*g + 0 - 3/2*g**3 - 3/2*g**2 - 3/4*g**4. Factor c(r).
-3*(r + 1)**3
Suppose 0 = 2*m + m. Let h(j) = -11*j**3 - 51*j**2 + 12*j - 37. Let z be h(-5). Suppose -3/4 + m*r**z + 3/2*r**2 - 3/4*r**4 + 0*r = 0. Calculate r.
-1, 1
Let n(x) be the first derivative of 2/45*x**3 - 1/30*x**4 - 8/15*x + 4/15*x**2 - 12. Factor n(y).
-2*(y - 2)*(y - 1)*(y + 2)/15
Let m(h) be the second derivative of 2*h**6/15 + 42*h**5/5 + 517*h**4/3 + 1064*h**3 + 2888*h**2 + 751*h. Factor m(z).
4*(z + 2)**2*(z + 19)**2
Let b = -17908/15 + 1194. What is q in -4/15*q + 0*q**2 + b - 2/15*q**4 + 4/15*q**3 = 0?
-1, 1
Let w be ((-1)/3*1)/((-7)/1239). Let k = -59 + w. Factor 0*g + 1/4*g**2 - 1/4*g**4 + 0*g**3 + k.
-g**2*(g - 1)*(g + 1)/4
Let v(c) be the first derivative of c**3/4 + 15*c**2/2 - 63*c/4 - 9. Let v(j) = 0. Calculate j.
-21, 1
Let w(o) = 20*o**3 - 127*o**2 + 93*o + 154. Let g(i) = 340*i**3 - 2160*i**2 + 1580*i + 2620. Let y(j) = 2*g(j) - 35*w(j). Solve y(m) = 0.
-3/4, 2, 5
Let k be 112/(-18) - 14/(-63). Let a be (0/k)/(4 - 2). Factor -2/5*h**3 + a*h + 0 + 0*h**2.
-2*h**3/5
Determine t so that 0 + 0*t - 1/5*t**5 + 8/5*t**3 - 7/5*t**4 + 0*t**2 = 0.
-8, 0, 1
Suppose -q - 4*q = 5*l, 0 = -4*q + 2*l + 18. Let b(v) be the first derivative of -3*v**2 + 2/3*v**q - 2 + 4*v. Factor b(m).
2*(m - 2)*(m - 1)
Let l(r) be the first derivative of r**4/16 - 9*r**2/8 - 81. Factor l(x).
x*(x - 3)*(x + 3)/4
Let p(i) be the third derivative of i**7/525 + i**6/30 + i**5/6 + 27*i**2 + 1. Factor p(n).
2*n**2*(n + 5)**2/5
Let s be (36/4)/3 + 402. Let z be ((-4)/6)/((-10)/s). Let -12*n + 18*n**2 - 14 - 11 + z - 8*n**3 = 0. Calculate n.
1/4, 1
Let r(i) be the first derivative of 1/5*i**5 - 1/3*i**3 - 16 + 0*i + i**2 - 1/2*i**4. Find w such that r(w) = 0.
-1, 0, 1, 2
Let x(q) be the first derivative of -q**7/280 + q**6/120 + q**5/40 - q**4/8 - 7*q**3/3 - 2. Let o(w) be the third derivative of x(w). What is j in o(j) = 0?
-1, 1
Let m(h) = -2*h**2 - 8*h + 69. Let s be m(-8). Let 4/9*n**3 + 4/3*n**4 - 8/9*n - 4/3*n**2 + 4/9*n**s + 0 = 0. Calculate n.
-2, -1, 0, 1
Let h = -1/1011 + 1013/2022. Determine b, given that -1 + 7*b**3 - 3*b**4 - 8*b**2 + h*b**5 + 9/2*b = 0.
1, 2
Let g(n) be the third derivative of -n**5/75 + 7*n**4 - 1470*n**3 + 2*n**2 - 43. Solve g(s) = 0.
105
Solve -22/3*p**3 - 8/3*p**2 + 0 + 0*p - 5/3*p**4 = 0.
-4, -2/5, 0
Let n(t) = 85*t**2 + 985*t + 935. Let g(b) = 5*b**2 + 58*b + 55. Suppose -14*z + 10 = -19*z. Let q(f) = z*n(f) + 35*g(f). Solve q(m) = 0 for m.
-11, -1
Suppose 4*j - 2 = -s, 34 = 4*s + 6*j - 3*j. Suppose s*k + 2 = 11*k. Determine z, given that 10 - z**2 - 7*z**4 - k*z**4 + 21*z**3 - 9*z - 12 = 0.
-1/3, 1, 2
Suppose 0 = -0*j - 3*j + 18. Suppose j = 8*t - 10. Factor -2*d**4 + 2/7*d - 30/7*d**t + 38/7*d**3 + 4/7.
-2*(d - 1)**3*(7*d + 2)/7
Let v = -3/46 + 16/69. Let r(c) be the first derivative of -10/9*c**3 - c**2 - 7 + 6*c - v*c**4. Factor r(d).
-2*(d - 1)*(d + 3)**2/3
Let w(f) be the second derivative of 0 + 2/105*f**6 - 1/21*f**4 + 6*f + 0*f**2 + 1/35*f**5 - 2/21*f**3. Determine p, given that w(p) = 0.
-1, 0, 1
Let t(a) be the second derivative of -1/2*a**2 + a + 1/3*a**3 - 1/12*a**4 + 8. Factor t(q).
-(q - 1)**2
Let v be (-4)/14 + 19/(-7) + 5. Factor -3 + 54*n**5 + 6*n**v + 0*n**2 - 55*n**5 - n + 2*n**3