p**g + 2*p**3 = 0. What is p?
0, 1, 2
Let b be (16/40)/(3/(-15))*-1. Suppose 1 = -l - b*h, l - 6*l - h + 13 = 0. Factor 0 + 0*y + 2/9*y**2 + 2/9*y**l.
2*y**2*(y + 1)/9
Let z be 208/20 + (12 - (1633/138 + (-7)/(-42))). What is x in -22/5*x - 2/5*x**2 + z = 0?
-13, 2
Let v be -10*1 + 4 + ((-55575)/114)/(-75). Factor -45/2 + 1/2*o**2 - v*o**3 + 21/2*o.
-(o - 3)**2*(o + 5)/2
Let w = -129 + 133. Suppose -3*v = -w*i + 34 - 20, -2*i = 5*v + 6. Factor 0*r**3 + 3/2*r**i + 0*r - 3/4*r**4 - 3/4.
-3*(r - 1)**2*(r + 1)**2/4
What is a in -682*a**2 - 171*a - 2*a**4 + 528*a + 401*a**3 - 17*a - 57*a**3 = 0?
0, 1, 170
Suppose 171 = 126*z + 38 - 119. Factor 22/7*v + 2/7*v**z + 36/7.
2*(v + 2)*(v + 9)/7
Suppose 3*q - 5 - 1 = 0. Suppose -q*b - 66 = -78. Factor 4*p**3 + 26*p**3 - 20*p - b*p**3 - 28*p - 60*p**2 + 9*p**4.
3*p*(p - 2)*(p + 4)*(3*p + 2)
Find a such that -1/5*a**3 + 114/5*a**2 + 0 + 232/5*a = 0.
-2, 0, 116
Let j(m) = 9*m**2 - 163*m + 1769. Let z(l) = 5*l**2 - 81*l + 885. Suppose 0 = r - 2*u + 1, -5*r - u = 27. Let b(t) = r*z(t) + 3*j(t). Factor b(v).
2*(v - 21)**2
Let m be 36/(-16)*-3*(-48)/(-9). Let y be (m/10)/((-4)/(-10)). Suppose -36*c**3 + 2 + 23*c**3 + 10*c**2 + 16*c**3 + y*c = 0. What is c?
-2, -1, -1/3
Factor -x + 10/7 + 1/7*x**2.
(x - 5)*(x - 2)/7
Suppose -b + 5*h = 26, 9 + 3 = 3*h. Let f(n) = -19*n**2 + 17*n - 7. Let o(p) = -2*p**2 + p + 1. Let l(s) = b*o(s) - 2*f(s). Factor l(q).
2*(5*q - 2)**2
Let n = 1180882/182945 + 12/5227. Let f = 12/35 + n. Suppose 8/5 + 36/5*q**2 - f*q = 0. What is q?
4/9, 1/2
Let w(y) = -23*y + 14*y**3 + 78*y - 61*y**2 - 44*y. Let c(k) = -3*k**3 + 12*k**2 - 2*k. Let x(v) = -11*c(v) - 2*w(v). Factor x(p).
5*p**2*(p - 2)
Let p be ((-102)/85*5/(-44))/((270/(-55))/(-9)). Factor -1/4*s**3 + 1/2*s**2 - 1/2 + p*s.
-(s - 2)*(s - 1)*(s + 1)/4
Let f(p) be the second derivative of p**7/6300 - 7*p**6/900 - p**5/20 - 7*p**4/12 + p**2/2 - 61*p. Let u(y) be the third derivative of f(y). Solve u(h) = 0.
-1, 15
Let d(w) be the first derivative of -w**5/80 + w**3/8 + w**2/4 + 50*w - 21. Let a(j) be the first derivative of d(j). Factor a(h).
-(h - 2)*(h + 1)**2/4
Let p(q) be the second derivative of q**7/357 - q**6/5 + 147*q**5/170 - 145*q**4/102 + 16*q**3/17 + 2*q + 244. Factor p(f).
2*f*(f - 48)*(f - 1)**3/17
Suppose 3332/9*j + 5488/9 + 64/9*j**3 + 2/9*j**4 + 238/3*j**2 = 0. Calculate j.
-14, -7, -4
Suppose -5*k + 2*p - 436 = 0, 0 = k - 4*p + 25 + 55. Let a be (11/(k/18))/((-6)/80). Factor -27*s**2 - 75 + 8*s**2 - a*s + 16*s**2.
-3*(s + 5)**2
Suppose 2023*d - 2021*d + 2*x = -22, 0 = -2*d + x + 23. Factor 0*l + 0 + 2/3*l**d + 0*l**3 - 8/3*l**2.
2*l**2*(l - 2)*(l + 2)/3
Let j be 10 - 13 - (356/(-88) + (-36)/(-66)). Determine l, given that -j*l**2 - 5 - 47/6*l = 0.
-15, -2/3
Let f(l) be the third derivative of -l**10/15120 - l**9/945 - l**8/160 - l**7/70 - 11*l**4/3 - 101*l**2. Let n(x) be the second derivative of f(x). Factor n(c).
-2*c**2*(c + 2)*(c + 3)**2
Let s be -24 + 66 + 1336/(-32). Find b such that -1/2*b - s*b**3 - 7/8*b**2 + 1/8*b**4 + 0 = 0.
-1, 0, 4
Let f(w) be the third derivative of w**5/510 + 59*w**4/68 + 176*w**3/51 + 3*w**2 - 194. Find x, given that f(x) = 0.
-176, -1
Let w(h) be the first derivative of 9*h**4/4 + 223*h**3/2 - 75*h**2 + 164*h + 193. Let i(f) be the first derivative of w(f). Find s, given that i(s) = 0.
-25, 2/9
Let y(g) = -g**2 - 11*g - 16. Let v be y(-2). Factor 6*h - 3 - 57*h**2 + 24*h**2 + 30*h**v.
-3*(h - 1)**2
Factor 295/2 + 32*v + 1/2*v**2.
(v + 5)*(v + 59)/2
Let t = -4031/1080 - -101/27. Let l(m) be the third derivative of 1/3*m**3 + 1/16*m**4 + 0 - t*m**5 + 11*m**2 + 0*m. Find q, given that l(q) = 0.
-1, 4
Let 108/11*y**2 + 18/11*y - 38/11*y**3 + 0 = 0. Calculate y.
-3/19, 0, 3
Suppose 0 = -3*r + 9 + 9. Let h = -175 + 180. Find n, given that 6*n - 16*n**3 - n + r*n**3 + 5*n**h + 0*n**5 = 0.
-1, 0, 1
Let k(g) = -19*g**2 + g. Let w(m) = -148*m**2 + 4028*m + 4016. Let p(s) = 8*k(s) - w(s). Suppose p(j) = 0. Calculate j.
-1004, -1
Let h = 305 - 298. Find o such that 3*o**4 - 10*o**2 + o**3 - h*o**3 + 7*o**2 - 6*o**4 = 0.
-1, 0
Let m be -8 + 2 - (1863/(-184))/((-33)/(-22)). Determine y, given that 0 - 1/4*y**4 - m*y + 1/4*y**2 + 3/4*y**3 = 0.
-1, 0, 1, 3
Let u(p) be the second derivative of -p**7/140 + 3*p**6/16 - 7*p**5/20 + 36*p**2 + 67*p - 2. Let z(y) be the first derivative of u(y). Factor z(o).
-3*o**2*(o - 14)*(o - 1)/2
Let w = -16079 - -16081. Let c(r) be the first derivative of 0*r + 0*r**w - 20/3*r**3 - r**4 - 9. Find t, given that c(t) = 0.
-5, 0
Suppose 0 = 5*f - 4*k + 58, -k + 130 = 5*f + 103. Factor 9/4 - 39/4*g + 3*g**f.
3*(g - 3)*(4*g - 1)/4
Let b = 24419 + -24417. Factor -3/5*t**b - 3/5*t**3 + 6*t - 24/5.
-3*(t - 2)*(t - 1)*(t + 4)/5
Let h(n) be the first derivative of -66 - 2*n + 13/6*n**2 - 5/9*n**3. What is v in h(v) = 0?
3/5, 2
Let f(x) = 17*x**2 - 1555*x - 625726. Let k(h) = 2*h**2 + 3*h - 5. Let p(c) = -2*f(c) + 18*k(c). Factor p(v).
2*(v + 791)**2
Let f(r) = r - 10. Let v be f(14). Factor -23*t**4 - 2*t**v + 19*t**4 + 4*t**3 + 2*t**5.
2*t**3*(t - 2)*(t - 1)
Let i = 32099/360 - 713/8. Let k(s) be the second derivative of -19/120*s**5 + 0 + 19*s - i*s**6 - 1/9*s**4 + 1/9*s**3 + 0*s**2. Factor k(f).
-f*(f + 1)*(f + 2)*(7*f - 2)/6
Let k(w) be the second derivative of 1/210*w**7 + 2/5*w**3 - 1/25*w**6 + 6 + 2*w + 4/15*w**4 + 0*w**2 - 3/100*w**5. Determine f so that k(f) = 0.
-1, 0, 2, 6
Determine b so that -64*b**2 + 16*b - 168*b + 39 + 68*b**4 - 7 - 45*b**5 - 43*b**5 + 106*b**3 + 98*b**5 = 0.
-4, -2, 1/5, 1
Suppose 2*l - 511 = -197. Factor 69*a**2 - 17*a**3 + l*a - 28*a + 68 - 5 + 20*a**3.
3*(a + 1)**2*(a + 21)
Let r(l) be the first derivative of l**6/36 - l**5/30 - 77*l**4/24 + 293*l**3/18 - 89*l**2/3 + 70*l/3 - 3404. Find b, given that r(b) = 0.
-10, 1, 2, 7
Suppose 4*s + 4*y = 148, -6*s + 77 = -4*s + y. Factor 14*u**2 - s*u**4 - 17*u**3 + 16 + 4*u - 98*u**2 + 125*u**3 - 4.
-4*(u - 1)**3*(10*u + 3)
Let n(d) be the third derivative of -d**5/60 + 25*d**4/24 - 23*d**3/3 - d**2 - 3*d + 132. Factor n(y).
-(y - 23)*(y - 2)
Let t = -149 + 209. Let v(i) = i**3 - 3*i + 4. Let q be v(-2). Factor -119*o**2 + 57*o**q + t*o**2 - 18*o.
-2*o*(o + 9)
Suppose -2*d + 16 + 2 = 2*a, d = 4*a + 9. Let s be 544/153*d/6. Factor -64/3 - 1/3*n**2 - s*n.
-(n + 8)**2/3
Let p(t) be the third derivative of -t**5/15 + 1058*t**3/3 - t**2 + 100*t + 11. Factor p(n).
-4*(n - 23)*(n + 23)
Let l(j) be the second derivative of 2*j**7/105 - 136*j**6/25 + 10606*j**5/25 - 6868*j**4/5 + 20402*j**3/15 - 65*j + 2. Factor l(z).
4*z*(z - 101)**2*(z - 1)**2/5
Determine o, given that 200 - 2*o + 172*o + 5*o**2 + 11 + 109 = 0.
-32, -2
Let p be (-1)/(-6) + (0 - 0). Let f be 10/(-9)*(9/36)/(11/(-33)). Factor 1/2*i**3 + f*i**2 + 1/3*i - 1/6*i**5 - p*i**4 + 0.
-i*(i - 2)*(i + 1)**3/6
Let l(p) be the third derivative of -p**10/277200 + p**9/66528 - p**8/55440 - 31*p**5/20 + 10*p**2 - p. Let c(o) be the third derivative of l(o). Factor c(t).
-2*t**2*(t - 1)*(3*t - 2)/11
Let f = -194 - -209. Let u be (-3*5/f)/(27/(-12)). Suppose 0*y**2 + 2/9 - u*y + 4/9*y**3 - 2/9*y**4 = 0. Calculate y.
-1, 1
Let w(s) = 0*s**5 - 3*s**2 - s**2 + 6*s**3 - 2*s**5. Let g(x) = 4*x**5 - 13*x**3 + 9*x**2. Let i = 444 + -440. Let a(p) = i*g(p) + 9*w(p). Factor a(j).
-2*j**3*(j - 1)*(j + 1)
Let q = 115/4897 + 43268/34279. Solve 0*z - 6/7*z**2 + 0 - 3*z**3 + q*z**5 - 6/7*z**4 = 0 for z.
-1, -1/3, 0, 2
Let q(w) = 36*w**3 + 53*w**2 + 8*w - 15. Let h(o) = o**2 + o - 3. Let l(x) = 2*h(x) - q(x). Find k, given that l(k) = 0.
-1, -3/4, 1/3
Factor -64*m**3 - 2/3*m**4 - 12150 - 1716*m**2 - 8640*m.
-2*(m + 3)**2*(m + 45)**2/3
Suppose 4*i - 44 = 3*o, 8*i - 3*o = 3*i + 52. Factor 2*d**3 + 90*d**2 + i*d**3 + 6750 + 10*d**3 - 18*d**3 + 1350*d.
2*(d + 15)**3
Let j(t) be the third derivative of -2*t**7/15 + 83*t**6/15 + 223*t**5/15 + 25*t**4/3 + 97*t**2 - 15. Let j(g) = 0. Calculate g.
-1, -2/7, 0, 25
Suppose 0 = 2*l - 22*l - 160. Let h be (1/l)/(4 + 119/(-28)). Factor -2*b**2 + h + 3/2*b.
-(b - 1)*(4*b + 1)/2
Let o be 21/(((-671)/244)/((-143)/546)). Find d such that -207/7*d - 867/7*d**3 - 6/7 - 1836/7*d**o = 0.
-2, -1/17
Let q = -36038388/199 - -181098. Let x = 24446/1791 + q. Factor -128/9*f**2 - 4/3*f**4 + 0 - x*f + 88/9*f**3.
-4*f*(f - 4)**2*(3*f + 2)/9
Let o(u) = 2