 -2/3, 1
Suppose -a - 5*o + 119 = 0, -2*o + 262 = 2*a + 2*o. Let n = a - 1521/11. Factor -n*i**4 - 8/11*i**2 + 2/11*i**5 + 0 + 12/11*i**3 + 2/11*i.
2*i*(i - 1)**4/11
Let j = 23 + -20. Factor -17*n**j - 11*n**4 + 5*n**4 - 3*n**3 + n**4.
-5*n**3*(n + 4)
What is k in -51*k - 152/3*k**2 + 4/9*k**3 - 115/9 = 0?
-1/2, 115
Let m(x) = 20*x - 788. Let v be m(40). Let b(p) be the first derivative of -1/40*p**4 + 0*p**2 + 1/10*p**3 - v + 0*p. Solve b(d) = 0 for d.
0, 3
Let t be (-2 - 206/(-84)) + 20/(-70). Let c(n) be the third derivative of 0*n**5 + 1/210*n**7 + 0*n - t*n**3 + 0 + 4*n**2 - 1/60*n**6 + 1/12*n**4. Factor c(u).
(u - 1)**3*(u + 1)
Suppose -7*s = -1 - 27. Determine q, given that -9*q - 3*q**s - q**2 + 2*q**2 + q**2 + 6 + 9*q**3 - 5*q**2 = 0.
-1, 1, 2
Let i(m) = -m**3 + m**2 + 7*m + 6. Let g be i(4). Let l be 17/(-56) - 6/g. Determine d, given that 0 - 1/8*d**4 + l*d**2 + 0*d + 0*d**3 = 0.
-1, 0, 1
Suppose x = i - 43, -80 + 25 = x + 5*i. Let c = x - -47. Factor 2/5*n**c - 3/5*n - 2/5.
(n - 2)*(2*n + 1)/5
Let i(j) be the first derivative of -j**4 + 4*j**3/3 + 74*j**2 + 140*j - 795. What is d in i(d) = 0?
-5, -1, 7
Let b(y) = 26*y**2 + 19*y + 53. Let i(k) = 10 - 14 + 2*k - 14 - 9*k**2 - 8*k. Let g(j) = -6*b(j) - 17*i(j). What is v in g(v) = 0?
-2
Determine v, given that -3/7*v**3 + 0*v + 0 + 9/7*v**5 + 6/7*v**2 - 12/7*v**4 = 0.
-2/3, 0, 1
Let p = -423 + 430. Let j(h) be the second derivative of -1/7*h**2 + 0 + p*h + 1/42*h**4 + 0*h**3. Factor j(b).
2*(b - 1)*(b + 1)/7
Let y(w) = w**3 + 7*w**2 - 7*w - 45. Let s be y(-7). Factor 1/5*f**s + 0*f + 0 + 1/5*f**3 + 0*f**2.
f**3*(f + 1)/5
Let t(l) be the first derivative of 4*l**5/5 + l**4 - 4*l**3/3 - 2*l**2 + 76. What is p in t(p) = 0?
-1, 0, 1
Let l be 10/(-25) + 34/10. Suppose 5*x = -3*p + 18, -2*x - 2*x = -l*p - 9. Factor x*v**3 - 3*v**2 - 5 + 5 + 0.
3*v**2*(v - 1)
Let y(h) be the first derivative of -3*h**5/80 + 3*h - 6. Let a(o) be the first derivative of y(o). What is u in a(u) = 0?
0
Let f(j) be the first derivative of -4*j**3/3 + 6*j**2 - 9*j - 233. Factor f(g).
-(2*g - 3)**2
Factor 27*c**2 + 22*c**2 - 2*c**4 + 176*c - c**4 - 36*c**3 + c**4 - 57*c**2 + 2*c**5 + 192.
2*(c - 4)*(c - 3)*(c + 2)**3
Let a(j) be the first derivative of 2*j**3/21 - 5*j**2/7 + 8*j/7 + 95. Factor a(w).
2*(w - 4)*(w - 1)/7
Let l(z) = z**2 - z + 1. Let o be -4*(3 - 2) - -6. Let n(b) = -13*b**2 - 14*b + 5. Let g(p) = o*l(p) - n(p). Factor g(q).
3*(q + 1)*(5*q - 1)
Let g = -49 - -51. Let a(k) = -k**3 - 2. Let z(o) = 1. Let w(j) = g*z(j) + a(j). Factor w(i).
-i**3
Let a be 12/(-16) + (-14)/(-8). Let p(k) = 4*k**3 - 1. Let i be p(a). What is d in -299*d**2 + d**i + 1 - 2*d + 298*d**2 + d = 0?
-1, 1
Suppose 42*j = 77*j - 37*j. Let j*p - 4/3*p**5 + 0 + 0*p**4 + 4*p**3 - 8/3*p**2 = 0. What is p?
-2, 0, 1
Let p be (-1 - 2)/((-81)/324). Let u(y) be the first derivative of -11 + p*y + 9/2*y**2 - y**3. Let u(x) = 0. Calculate x.
-1, 4
Suppose -2*j + o = -4*j - 14, -4*o = 16. Let z be ((-252)/(-70))/((-14)/j). Suppose 15/7*u**2 + 0 + z*u**4 - 3/7*u - 3*u**3 = 0. What is u?
0, 1/3, 1
Let n be (-2)/21*-6*(767/(-26) + 30). Factor -n*h**3 + 0*h**2 + 2*h - 12/7.
-2*(h - 2)*(h - 1)*(h + 3)/7
Let m(n) be the first derivative of 5*n**5/12 + 85*n**4/36 + 5*n**3/3 - 19*n + 12. Let o(c) be the first derivative of m(c). Factor o(p).
5*p*(p + 3)*(5*p + 2)/3
Let q(n) be the first derivative of n**5/110 - n**4/22 + 10*n - 7. Let r(v) be the first derivative of q(v). Find y such that r(y) = 0.
0, 3
Suppose -347 = 10*g - 377. Let j(v) be the second derivative of 0*v**2 + 0 - 8*v - 1/9*v**g - 1/18*v**4. Factor j(b).
-2*b*(b + 1)/3
Let y(p) = 22*p**3 - 62*p**2 - 434*p + 130. Let o(n) = 7*n**3 - 21*n**2 - 145*n + 43. Let a(j) = 14*o(j) - 5*y(j). Find q, given that a(q) = 0.
-3, 1/3, 4
Let l(f) = -f**2 - f + 1. Let r(c) = 6*c**2 - 237*c + 4797. Let s(x) = -3*l(x) - r(x). What is u in s(u) = 0?
40
Suppose -6*v = -9*v - 8*v. Factor -1/4*j**2 + v + 1/4*j.
-j*(j - 1)/4
Let o = 199/101 + 2338/505. Determine l, given that 6*l + 3/5*l**2 - o = 0.
-11, 1
Let j be 15/3 + (-2)/1. Suppose -3*z + 22 = -2*y - 3*y, j*z = -3*y + 6. Factor -4*q**2 + 14*q**3 + 33*q**4 + 18*q**4 - 61*q**z.
-2*q**2*(q - 1)*(5*q - 2)
Let x = -53 - 17. Let b be x/28*12/(-10). Factor -8 + 0*k**2 + 28*k - 16*k**2 - 7 + b.
-4*(k - 1)*(4*k - 3)
Let c be 12/(-90) - 77/(-15). Let g(q) be the first derivative of 1/2*q**4 + 0*q**2 + 5 + 2*q**c - 2/3*q**3 + 0*q + q**6. Factor g(w).
2*w**2*(w + 1)**2*(3*w - 1)
Let l(y) be the second derivative of 1/35*y**5 + 6/7*y**2 + 2/3*y**3 + 5/21*y**4 + 0 - 20*y. Factor l(p).
4*(p + 1)**2*(p + 3)/7
Let c = -423 - -428. Let v(q) be the third derivative of 1/90*q**c + 0*q + 1/9*q**3 + 1/18*q**4 + 5*q**2 + 0. Let v(t) = 0. What is t?
-1
Suppose -16 = -5*u + 4*s, 2*u + 4*s - 9 = 3. What is q in -384*q + 1115*q**2 - 301*q**4 + 1183*q**u - 650*q**2 - 2464*q**3 + 32 + 1119*q**2 = 0?
2/9, 2/7, 2
Let a(j) be the second derivative of 0 + 7/6*j**3 - 1/10*j**4 + 0*j**5 + 1/600*j**6 + 4*j + 0*j**2. Let q(m) be the second derivative of a(m). Factor q(v).
3*(v - 2)*(v + 2)/5
Let x(q) be the second derivative of -q**6/420 + q**5/210 + q**4/21 - 4*q**3/21 - 3*q**2 + 2*q. Let j(b) be the first derivative of x(b). Factor j(s).
-2*(s - 2)*(s - 1)*(s + 2)/7
Let b = -29 - -34. Determine k, given that 6*k + b*k**3 - 8*k - 3*k = 0.
-1, 0, 1
Find v, given that -80*v**2 - 36*v**3 - 180*v - 6*v**4 - 24*v**2 - 23*v**2 + 3*v**4 - 75 - 11*v**2 = 0.
-5, -1
Let f = -8083 + 8086. Factor 1/5*o**f + 1/5 - 1/5*o - 1/5*o**2.
(o - 1)**2*(o + 1)/5
Let c(s) be the second derivative of -3*s**5/160 - 7*s**4/32 - s**3/2 + 3*s**2 + 249*s. Determine p so that c(p) = 0.
-4, 1
Determine j so that 0*j - 4/3*j**4 - 7/3*j**3 + 2/3*j**2 + 0 = 0.
-2, 0, 1/4
Suppose -2*x = r + 2, 0 = -7*x + 3*x - 8. Factor 4/3*t**4 + 0*t**3 + 0*t - 4/9*t**r - 8/9*t**5 + 0.
-4*t**2*(t - 1)**2*(2*t + 1)/9
Let g(p) = p**2 - 6*p + 16 - 20*p + 5*p. Let r(z) = -4*z**2 + 64*z - 49. Let t(x) = -11*g(x) - 4*r(x). Factor t(m).
5*(m - 4)*(m - 1)
Let t be ((-80)/(-72) + 4/18)*-3. Let m be (t/(32/(-6)))/((-162)/(-144)). Solve -2/9*k**2 + m*k + 0 = 0 for k.
0, 3
Factor 4/9*b**2 + 1600/9 - 160/9*b.
4*(b - 20)**2/9
Let x be 2 + (1 - -1) + 0. Let o = x + 0. Factor -2 + o*a**2 - 7*a**4 + 2*a + 0*a**4 + 3*a**4 + 2*a**4 - 4*a**3 + 2*a**5.
2*(a - 1)**3*(a + 1)**2
Let i = -56136 - -285574/5. Let s = -974 + i. Determine n, given that -72/5*n**2 - s*n**3 - 48/5 - 96/5*n - 3/5*n**4 = 0.
-2
Let x(y) = y**4 - y**3 + 1. Let g(q) be the first derivative of q**5 + 4*q**4 - 81*q**2 - 241*q - 9. Let v(s) = g(s) - 2*x(s). Factor v(m).
3*(m - 3)*(m + 3)**3
Let n(r) be the second derivative of 0*r**2 - 3/20*r**4 + 0*r**3 + 0 - 11*r + 3/100*r**5. Solve n(i) = 0.
0, 3
Let a(y) = -y**2 - 20*y - 27. Let k(u) = -8*u**2 - 157*u - 217. Let z(r) = -51*a(r) + 6*k(r). Factor z(g).
3*(g + 1)*(g + 25)
Let a(d) be the first derivative of -2/3*d**3 - 5 + 14*d + 6*d**2. Factor a(b).
-2*(b - 7)*(b + 1)
Let y(h) be the third derivative of -h**8/1512 - h**7/945 + h**6/108 + h**5/54 - h**4/27 - 4*h**3/27 - 2*h**2 - 60*h. Solve y(t) = 0.
-2, -1, 1, 2
Let z = 204 + -197. Let t be 20 + -20 - ((-2)/z)/2. Factor 0*b + 0 + 4/7*b**2 + 0*b**3 - t*b**4.
-b**2*(b - 2)*(b + 2)/7
Suppose 82*i = -102*i - 7*i + 2292. Find z such that 4/3*z**2 - 8*z + i = 0.
3
Let y = 154/543 - -9/181. Solve y*f**3 + 0*f + 0 - 1/3*f**2 = 0.
0, 1
Let w be -2 + (-39214)/(-66) + (-8)/(-44). Let m = -19493/33 + w. Factor 2/11 - 6/11*d + 20/11*d**3 - 12/11*d**2 + 42/11*d**4 + m*d**5.
2*(d + 1)**3*(3*d - 1)**2/11
Let b = -4 + 6. Let z be 2/3 - (-5 - 44/(-12)). Let 2*s**2 + 5*s**z + 0*s - 3*s**b - 4*s = 0. What is s?
0, 1
Let a = -5 - -6. Suppose 2*m + 3*b = -2*m + 5, -5*b = 2*m + a. Suppose -3/4*v**m - 1/4*v**3 - 1/4 - 3/4*v = 0. Calculate v.
-1
Let b = 2047 - 2045. Let d(h) be the first derivative of 0*h + 11 - b*h**2 + 10/3*h**3. Solve d(y) = 0 for y.
0, 2/5
Let z(t) be the second derivative of -1/24*t**4 + 20*t + 1/12*t**3 + 0 + 0*t**2. Factor z(l).
-l*(l - 1)/2
Let j = 643 - 4498/7. Factor 0*s**2 + 3/7*s - j*s**3 + 0.
-3*s*(s - 1)*(s + 1)/7
Let c be -7 - (16/24 + -8). Let 3/2*p**3 + 13/6*p + c + 10/3*p**2 = 0. Calculate p.
-1, -2/9
Let q(r) be the second derivative of r**6/120 - r**5/40 + r**4/48 - 30*r - 1. So