n that o(y) = 0.
-1, 2/5, 3, 11
Let s = 153 + -149. Find q such that -s*q**5 + 2*q - 18*q**3 - 7*q**4 - 20*q**2 - 10*q + 5*q**5 - 2*q**5 = 0.
-2, -1, 0
Suppose -146*k + 224 = -178*k. Let j be 0/(-10 - k/1). What is x in 0*x + 1/3*x**2 - 1/6*x**3 + j = 0?
0, 2
Let 0 - 1156/5*i**2 + 136/5*i**3 - 4/5*i**4 + 0*i = 0. Calculate i.
0, 17
Suppose 0 = -6*i + 10 + 8. Suppose w**2 + 0*w**4 - 1469*w**3 - 4*w**4 - 12*w + 1481*w**3 + i*w**2 = 0. Calculate w.
-1, 0, 1, 3
Let a(r) = 2*r**2 - 27*r + 2. Let i be a(18). Suppose 3 + 14*o - 165*o**2 - 3*o - 13 + i*o**2 = 0. What is o?
1, 10
Find v such that -2190*v**2 - 9999390*v - 9990450 - 8208*v**2 - 143*v**2 + 1599*v**2 - 2*v**3 = 0.
-2235, -1
Suppose c - 18 = -16. Factor 2*i**2 - 10*i + 14*i + 8*i**c.
2*i*(5*i + 2)
Let z(w) be the third derivative of w**7/1575 - w**6/150 + 5*w**2 - 33. Factor z(q).
2*q**3*(q - 6)/15
Factor -70422*d**2 + 452*d + 468 + 4*d**3 + 92 + 70318*d**2.
4*(d - 20)*(d - 7)*(d + 1)
Find x, given that -25*x**3 + 10*x**2 + 20*x**4 - 36*x**5 + 31*x**5 - 522*x + 522*x = 0.
0, 1, 2
Let -1/2*p**5 + 9*p**2 - 10/3*p**4 + 0 + 23/2*p**3 + 0*p = 0. What is p?
-9, -2/3, 0, 3
Let u(v) be the second derivative of -v**7/56 + 23*v**6/120 - 5*v**5/8 + v**4/2 - 4600*v. Determine x, given that u(x) = 0.
0, 2/3, 3, 4
Solve -220*r**2 + 14556 - 2012 - 613*r**3 - 609*r**3 + 1224*r**3 + 5824*r = 0 for r.
-2, 56
Let u(s) be the third derivative of s**6/40 + 7*s**5 + 4757*s**4/8 - 5041*s**3 - 7*s**2 + 42*s. Factor u(m).
3*(m - 2)*(m + 71)**2
Let z be 143/440*-2 - (-1 - (-1)/3). Let x(s) be the third derivative of 0 + 0*s + z*s**5 + 13*s**2 + 5/6*s**3 + 1/4*s**4. Suppose x(f) = 0. What is f?
-5, -1
Let j(c) be the third derivative of -c**7/70 - 5*c**6/8 - 53*c**5/10 - 15*c**4 + 1553*c**2. What is w in j(w) = 0?
-20, -3, -2, 0
Let j(r) be the second derivative of -r**6/10 + 303*r**5/20 - 1683*r**4/2 + 17918*r**3 + 58956*r**2 + 1189*r. Let j(w) = 0. Calculate w.
-1, 34
Let a(d) = 4*d - 1. Suppose 2*y - 26 = -3*u, 9*u = 8*u + 2*y + 6. Let w be a(u). Let -28*o**5 - w*o**5 + 57*o**5 = 0. Calculate o.
0
Let u(w) = w**3 + 12*w**2 - 18*w - 40. Let x be u(-13). Find t, given that 2*t**2 + x + 313 + 24*t + 28*t = 0.
-13
Let q(i) be the third derivative of -i**6/300 - 9*i**5/25 + 71*i**4/12 - 20*i**3 + 850*i**2. Suppose q(a) = 0. Calculate a.
-60, 1, 5
Determine x, given that 8/3*x**4 - 448/3 - 84*x**3 + 800/3*x**2 - 144*x = 0.
-1/2, 2, 28
Let j(o) = 8324*o + 16650. Let p be j(-2). Let f = 48 - 191/4. Determine x, given that 1/4 - 1/4*x**3 - 1/4*x**p + f*x = 0.
-1, 1
Let f = 43 - 41. Let n be (8/12)/(f/6). Factor -7*g**2 - 56*g**n + 79*g - 6 - 3*g - 7*g.
-3*(g - 1)*(21*g - 2)
Let t(s) = s**4 - s**2 + 1. Let y(o) = -7*o**4 + 4*o**3 + 15*o**2 - 20*o + 5. Let p = 208 + -209. Let v(q) = p*y(q) - 3*t(q). Suppose v(g) = 0. What is g?
-2, 1
Let o(s) be the first derivative of -138/55*s**5 - 79 - 6932/33*s**3 - 1/33*s**6 - 198*s - 645/11*s**4 - 303*s**2. Factor o(f).
-2*(f + 1)**3*(f + 33)**2/11
Let r(h) = -19*h**2 - h. Let b(w) = -132*w**2 + 2*w - 10. Let k(v) = 5*b(v) - 35*r(v). Factor k(x).
5*(x - 1)*(x + 10)
Let y(b) be the second derivative of b**4/4 - 281*b**3 - 1689*b**2/2 + 87*b + 6. Suppose y(m) = 0. What is m?
-1, 563
Let z = -3/159067 + 318143/477201. Suppose 8/3 - 1/3*g**2 + z*g = 0. Calculate g.
-2, 4
Suppose 0 = -3*p - 5*a + 2499, 4*p + 0*p + 2*a = 3318. Solve -16*l - p - 12*l**2 + 828 + 4*l**3 = 0 for l.
-1, 0, 4
Suppose -2*s - 92*g + 90*g = 0, 6 = -3*g. Let -6/7 + 5/7*v - 1/7*v**s = 0. Calculate v.
2, 3
Suppose 0 = -2*m - 5*n + 4114, 0 = -17*m + 12*m + 2*n + 10256. Let r = -2052 + m. Factor 4/3 - 2/3*l**3 + r*l**2 + 2*l.
-2*(l - 2)*(l + 1)**2/3
Suppose 2*g - 3*x = 136, 2*g = x + 146 - 2. Let k = g - 72. Find z, given that -139*z**2 - 4*z + 79*z**k + 68*z**2 = 0.
0, 1/2
Let h(r) = 2*r**2 + 7*r - 11. Suppose -202 = -24*g - 58. Let u(q) = -2*q**2 - 6*q + 12. Let w(b) = g*h(b) + 7*u(b). Factor w(m).
-2*(m - 3)*(m + 3)
Suppose -1643*g + 11 = -1633*g - 39. Let l(d) be the first derivative of 0*d - 24 + 1/5*d**4 - 2/5*d**2 + 2/25*d**g - 2/15*d**3. Factor l(a).
2*a*(a - 1)*(a + 1)*(a + 2)/5
Let z(a) = -3*a**2 + 31*a - 8. Let r be z(10). Let -6*k**2 - 3*k**2 + 8*k**r - 2*k - 19 + 13*k - 5 = 0. Calculate k.
3, 8
Suppose -350*x - 488*x + 569*x = 0. Factor 0 + x*q - q**2 + 1/4*q**5 + 2*q**3 - 5/4*q**4.
q**2*(q - 2)**2*(q - 1)/4
Factor 26912/11 + 2/11*r**2 - 464/11*r.
2*(r - 116)**2/11
Let u(m) be the second derivative of -m**7/21 + 2*m**6/15 + 4*m**5/5 - 1281*m. Factor u(b).
-2*b**3*(b - 4)*(b + 2)
Let d(x) be the second derivative of x**4/72 + x**3/6 + 3*x**2/4 + 945*x. Factor d(t).
(t + 3)**2/6
Let x(q) be the first derivative of -2/39*q**3 + 19/13*q**2 + 43 + 40/13*q. Determine w so that x(w) = 0.
-1, 20
Let r(x) be the second derivative of -x**9/60480 - x**8/13440 + 5*x**4/12 + 6*x + 1. Let u(p) be the third derivative of r(p). Factor u(c).
-c**3*(c + 2)/4
Let w(d) = -22*d**4 - 278*d**3 - 2*d**2 + 272*d + 3. Let u(t) = 29*t**4 + 279*t**3 + 3*t**2 - 271*t - 4. Let v(y) = 3*u(y) + 4*w(y). Solve v(l) = 0.
-275, -1, 0, 1
Let r(c) be the third derivative of c**3 + 0*c + 1/90*c**5 - 1/6*c**4 - 36*c**2 + 1. Factor r(v).
2*(v - 3)**2/3
Suppose 3*m + 4137 = 3*r, -m + 2*r + 2762 = -3*m. Let o be (6/(-9))/(8/m). Factor 742*d - 196 + 17*d**3 - o*d**2 - 3*d**3 - 85*d**2.
2*(d - 7)**2*(7*d - 2)
Let n(k) be the second derivative of 2/3*k**3 - 7/10*k**5 - 11/4*k**4 + 0 - 201*k - 1/30*k**6 + 22*k**2. Determine x so that n(x) = 0.
-11, -2, 1
Let a(x) be the second derivative of -x**4/3 + 82*x**3/3 + 264*x**2 + 22*x + 16. Suppose a(q) = 0. Calculate q.
-3, 44
Let q = -33/169 - -367/1014. Let r(z) be the first derivative of 0*z + q*z**4 - 8 + 0*z**2 + 2/9*z**3. Factor r(p).
2*p**2*(p + 1)/3
Let f(x) be the first derivative of -2*x**3/15 - 8*x**2/5 + 8*x + 1826. Factor f(u).
-2*(u - 2)*(u + 10)/5
Suppose -k + 890 = 4*h, -h + 1801 = 21*k - 19*k. Let q be 1/((-1)/2 - -1). Factor k - 908 - 2*j + 3*j - 3*j**q + 8*j.
-3*(j - 2)*(j - 1)
Let s = 13268/11925 - 2/1325. Let t(j) be the third derivative of 9*j**2 + 0 + s*j**3 + 11/60*j**5 - 7/9*j**4 + 1/40*j**6 + 0*j. Factor t(w).
(w + 5)*(3*w - 2)**2/3
Let a be (72/231)/(8/28). Let s(n) = n**3 - 27*n**2 + 82*n - 797. Let v be s(25). Factor a*i + 0 + 14/11*i**2 + 2/11*i**v.
2*i*(i + 1)*(i + 6)/11
Let i = -151741 + 151744. Factor 0 - 2/7*k**4 + 2*k**i + 24/7*k - 32/7*k**2.
-2*k*(k - 3)*(k - 2)**2/7
Factor -157 + 159/2*x - 1/2*x**2.
-(x - 157)*(x - 2)/2
Let g(k) be the first derivative of -1/24*k**4 + 4*k**2 - 1/60*k**5 + 24 + 0*k + 1/3*k**3. Let u(s) be the second derivative of g(s). Let u(i) = 0. What is i?
-2, 1
Let g be 68/(-187) + 420/792. Let i(f) be the first derivative of 18 + f**5 - 4/3*f**3 + 0*f + 4*f**2 - g*f**6 - 3/2*f**4. Factor i(n).
-n*(n - 2)**3*(n + 1)
Suppose 3324*g - 3321*g - 61 = 5*r, r + 1 = -5*g. Factor -9/2 - 1/4*c**g - 9/4*c.
-(c + 3)*(c + 6)/4
Suppose 3*i = -5*j + 9, 0 = -156*j + 150*j + i + 20. Factor 0 - 12/5*h - 3*h**2 - 3/5*h**j.
-3*h*(h + 1)*(h + 4)/5
Suppose 3*h - 19 = 2*y - 23, 5*y = -2*h + 29. Factor -8 + 7*q + 20 + h*q + 3*q**2 + 3*q.
3*(q + 2)**2
Factor -1623*q - 615*q**2 - 769*q + 2583 + 616*q**2 - 192*q.
(q - 2583)*(q - 1)
Let i(s) be the third derivative of s**8/1344 - 13*s**7/1680 - 19*s**6/960 + 23*s**5/80 + 3*s**4/8 - 4*s**2 - 5*s - 24. What is b in i(b) = 0?
-3, -1/2, 0, 4, 6
Suppose -101*t + 125 + 54 = -23. Let b(d) be the first derivative of 7/2*d**2 - d**3 - 8 - t*d. Factor b(o).
-(o - 2)*(3*o - 1)
Let g be 1164/16*8/6. Suppose -3*w + 4*p + 90 = -w, -2*w + g = 3*p. Factor w - 3*n - 5*n + 3*n - 5*n**2 - 17.
-5*(n - 2)*(n + 3)
Let p(k) = 2*k**3 - 46*k + 84. Let a be p(3). Factor a + 12/11*c**2 + 2/11*c**3 - 14/11*c.
2*c*(c - 1)*(c + 7)/11
Determine s, given that -15373/4*s**2 - 1/4*s**4 - 3969 + 125/2*s**3 - 7875*s = 0.
-1, 126
Let f(q) = q**3 + 24*q**2 - 52*q + 2. Let w be f(-26). Suppose 0 + 1/3*a**3 + 196/3*a - 28/3*a**w = 0. What is a?
0, 14
Let m be (-2)/5 + (-45 - (-32477)/705). Factor 16/3*n - m*n**2 - 2/3*n**3 + 8.
-2*(n - 3)*(n + 2)**2/3
Let s(a) be the second derivative of 3*a**7/7 - 52*a**6/15 + 48*a**5/5 - 8*a**4 - 16*a**3/3 + 1406*a. Determine b, given that s(b) = 0.
-2/9, 0, 2
Let w(l) be the second derivative of l**7/14 + 33*l**6/50 + 33*l**5/10