0*q - v*q**4 + 0. Factor b(o).
-2*(3*o + 1)**2/9
Suppose 0 = 3*l + 4*w - 3, l = -6*w + 3*w - 4. Suppose 0*o - 60 = -l*o. Factor -47*r + 13*r + 4*r**2 - o*r + 10*r**2 + 12.
2*(r - 3)*(7*r - 2)
Let k(o) = 15*o**2 + 41*o + 9. Let i = 20 + -26. Let s(l) = 2*l**2 + 5*l + 1. Let w(x) = i*k(x) + 51*s(x). Factor w(j).
3*(j + 1)*(4*j - 1)
Let v(w) = -90*w**2 + 305*w - 250. Let b(i) = -135*i**2 + 457*i - 375. Let o(x) = -5*b(x) + 7*v(x). Factor o(j).
5*(3*j - 5)**2
Let c be 240/495 - ((-24)/(-30))/(22/(-5)). Factor 2/3*q**3 + c*q + 4/3*q**2 + 0.
2*q*(q + 1)**2/3
Let r(p) be the first derivative of -p**5/35 - p**4/28 + 4*p**3/7 + 2*p**2 + 16*p/7 - 274. Solve r(f) = 0.
-2, -1, 4
Let q be (-4 - -1)/(1 + -2). Factor -q*p**3 + 5*p**3 - 4*p**2 - 2*p + 4*p**3 + 9*p**4 - p**2.
p*(p + 1)*(3*p - 2)*(3*p + 1)
Factor -46/3*o**3 + 0*o**2 + 0 + 1/3*o**4 + 0*o.
o**3*(o - 46)/3
Suppose -2*s = -2*i - i + 8, 0 = -i - s - 4. Determine x, given that -2/9*x**3 + 0*x + i - 2/3*x**2 = 0.
-3, 0
What is j in 1587/5 + 3/5*j**2 + 138/5*j = 0?
-23
Factor -2/7*k**3 - 4/7*k**2 - 8/7 + 2*k.
-2*(k - 1)**2*(k + 4)/7
Let -1/3*a**3 - 8*a - 25/3*a**2 + 0 = 0. Calculate a.
-24, -1, 0
Let o be 117/(-4)*8/(-3). Suppose -138 + o = -2*i. Solve -6*v**2 - 50 - 2/5*v**3 - i*v = 0 for v.
-5
Let s(l) be the first derivative of -l**5/25 + l**4/15 + 2*l**3/15 - 2*l**2/5 - 9*l + 20. Let w(r) be the first derivative of s(r). Factor w(n).
-4*(n - 1)**2*(n + 1)/5
Let l(f) be the second derivative of f**7/280 + f**6/160 - 3*f**5/80 - f**4/32 + f**3/4 + 13*f**2 - 28*f. Let j(c) be the first derivative of l(c). Factor j(m).
3*(m - 1)**2*(m + 1)*(m + 2)/4
Determine o so that -89*o**2 - 80 + 30*o**4 - 140*o**5 - 11*o**2 + 44*o**5 + 40*o**5 - 25*o**3 + 51*o**5 + 180*o = 0.
-2, 1, 2, 4
Let t(l) be the first derivative of l**4/14 + 16*l**3/21 - l**2/7 - 16*l/7 + 85. Let t(n) = 0. Calculate n.
-8, -1, 1
Let s(q) = 7*q**3 - 10*q**2 - q + 22. Let i(g) = -20*g**3 + 30*g**2 + 5*g - 66. Let n(f) = 6*i(f) + 17*s(f). Factor n(b).
-(b - 11)*(b - 1)*(b + 2)
Let i(z) be the second derivative of 1/150*z**6 - 1/100*z**5 + 0 - 1/10*z**4 - 18*z + 0*z**2 + 0*z**3. What is r in i(r) = 0?
-2, 0, 3
Let n = 265137/7 - 37875. Factor 12/7*c**2 - 4/7*c - n + 4/7*c**3.
4*(c - 1)*(c + 1)*(c + 3)/7
Let i be 7 + 0 + -5 + (5 - 2). Let o(g) be the first derivative of 2/3*g**3 + 0*g - 2 + g**2 - 2/5*g**i - 1/2*g**4. Let o(n) = 0. Calculate n.
-1, 0, 1
Let l = -669 + 32113/48. Let z(s) be the third derivative of 1/240*s**6 - l*s**4 - 1/120*s**5 + 0*s + 0 - 4*s**2 + 1/12*s**3. Let z(x) = 0. Calculate x.
-1, 1
Let h(o) be the second derivative of -1/30*o**4 - 1/225*o**6 + 0 + 1/50*o**5 + 0*o**2 + 16*o + 1/45*o**3. Factor h(j).
-2*j*(j - 1)**3/15
Let -9*a - 210*a**2 - 4*a**4 - 9*a**3 - 226*a**2 + 462*a**2 - 4 = 0. Calculate a.
-4, -1/4, 1
Suppose -48*j + 18*j**4 + 1897*j**2 - 22*j**3 - 32 - 1883*j**2 + 2*j**5 + 68*j**3 = 0. What is j?
-4, -1, 1
Let s = -257/2 - -1807/14. Find d such that 4/7*d**2 + 4/7*d**5 - 4/7*d**4 + 0 + 0*d - s*d**3 = 0.
-1, 0, 1
Let h be (-14)/49*(-14)/24. Let b = 143/866 - -2/1299. What is p in 1/6*p**3 + 0 - b*p + h*p**4 - 1/6*p**2 = 0?
-1, 0, 1
Factor -5*c**3 + 16*c**2 + 29*c**3 - 7*c**2 + c**4 + 14*c**4.
3*c**2*(c + 1)*(5*c + 3)
Factor -57*a**2 - 91*a**5 + 48*a + 33*a**5 - 36*a**4 - 67*a**2 + 108*a**3 + 29*a**5 + 33*a**5.
4*a*(a - 4)*(a - 3)*(a - 1)**2
Suppose 9*z**3 + 2*z**4 + 13*z**4 - 21*z**4 + 3*z**4 = 0. What is z?
0, 3
Let y(p) be the first derivative of -2*p**3/33 + 4*p**2/11 + 24*p/11 + 81. Factor y(l).
-2*(l - 6)*(l + 2)/11
Let -2/5*x**2 - 2/5*x + 12/5 = 0. What is x?
-3, 2
Let z be 4/8*4/((-32)/(-6)). Let f(m) be the second derivative of -m - z*m**3 + 0 - 3/2*m**2 + 1/16*m**4. Let f(v) = 0. What is v?
-1, 4
Suppose -8 = -5*t + 7. Suppose -4*l = -t*n + 20, -n + 5 = l - 2*l. Let n + 2/11*k - 2/11*k**3 + 2/11*k**4 - 2/11*k**2 = 0. What is k?
-1, 0, 1
Factor -28*q**2 + 68*q - 42 + 46*q**2 - 41*q - 21*q**2.
-3*(q - 7)*(q - 2)
Let m = -9 + 7. Let h(a) = 16*a**4 - 41*a**2 - 40*a - 15. Let n(g) = 3*g**4 - 8*g**2 - 8*g - 3. Let f(u) = m*h(u) + 11*n(u). Factor f(t).
(t - 3)*(t + 1)**3
Suppose 10*x + 90 = 13*x. What is q in -x*q + 0 - 40 + q**2 - 6*q**2 - 15*q = 0?
-8, -1
Let m(c) = -2*c**3 - 18*c**2 + 2. Let o = 35 + -32. Let z(k) = -k**3 - 19*k**2 + 3. Let v(d) = o*m(d) - 2*z(d). Determine f, given that v(f) = 0.
-4, 0
Let c(n) = 9*n + 72. Let x be c(10). Suppose 156*a = x*a. Factor 0 + 2/5*u**2 + 3/5*u**3 + a*u + 1/5*u**4.
u**2*(u + 1)*(u + 2)/5
Let a(u) be the second derivative of -u**6/60 - u**5/4 - 11*u**4/8 - 11*u**3/3 - 5*u**2 - 65*u + 3. Factor a(s).
-(s + 1)*(s + 2)**2*(s + 5)/2
Let y(x) be the first derivative of -x**4/12 + 7*x**3/9 + 13*x**2/3 - 24*x + 88. Factor y(k).
-(k - 9)*(k - 2)*(k + 4)/3
Suppose 3*d + 9 = -2*j, -4*d = -9*d - 25. Let -2*n**2 - 15*n + 9*n**4 - 6 + 12*n**3 + 5*n**3 - 2*n**j - n**2 = 0. What is n?
-1, -2/3, 1
Let u be 6*(5 - 9/2). Determine d, given that -d**2 + 2*d - 6*d**3 + 7*d**u + 0*d**2 - 4*d = 0.
-1, 0, 2
Factor 1/2*j**2 - 3/8*j**4 + 0*j**3 + 0 + 0*j + 1/8*j**5.
j**2*(j - 2)**2*(j + 1)/8
Let i = 1132 + -1130. Let g(v) be the first derivative of 4*v - 2/3*v**6 + 2*v**4 - 8/3*v**3 - 9 + 4/5*v**5 - i*v**2. Factor g(p).
-4*(p - 1)**3*(p + 1)**2
Let p(f) be the first derivative of -3/7*f**2 + 3/14*f**4 - 5 - 4/7*f + 2/21*f**3 + 2/35*f**5. Factor p(z).
2*(z - 1)*(z + 1)**2*(z + 2)/7
Suppose -18 = -h - 2*h. Suppose -t - 2*t = -h. Factor 14*g**2 + 3*g**4 - g**2 + 3*g**t - g**4 + 10*g**3 + 8*g.
2*g*(g + 1)*(g + 2)**2
Suppose -76 = -3*u - 61. Let k be (26/117)/(u/3). Factor 2/15 + k*w**2 + 4/15*w.
2*(w + 1)**2/15
Solve -2/5*i**5 - 116/5*i**3 - 212/5*i**2 - 26/5*i**4 - 34*i - 10 = 0.
-5, -1
Let v(o) be the third derivative of o**5/20 - o**3/2 - 32*o**2. Suppose v(p) = 0. Calculate p.
-1, 1
Suppose 0 = 2*y + 37 - 41. Find m, given that -7*m**2 - 6*m**y + 11*m**2 + 9*m**3 - 7*m**4 = 0.
0, 2/7, 1
Suppose 5*i - 638 = -x - 231, 0 = 2*i - 3*x - 156. Suppose 5*m - 13 = 17. Find b such that -57 - m*b**2 + i - 12*b + 3*b**3 + 0*b**2 = 0.
-2, 2
Let i = 1667 + -2335. Let t = i + 8688/13. Suppose 10/13*j**4 + t*j**2 + 0 + 14/13*j**3 + 0*j = 0. What is j?
-1, -2/5, 0
Let z(c) be the first derivative of -c**5/110 - c**4/33 + c**3/11 - 60*c - 57. Let i(v) be the first derivative of z(v). Let i(a) = 0. Calculate a.
-3, 0, 1
Let t(w) be the first derivative of -8/13*w - 3/13*w**2 + 2/39*w**3 + 25. Let t(o) = 0. What is o?
-1, 4
Suppose 2*g + 55 = -75. Let o = g + 326/5. Factor -1/5*u**4 + 1/5*u**5 + 0*u - 1/5*u**3 + o*u**2 + 0.
u**2*(u - 1)**2*(u + 1)/5
Let t(x) = -x**2 + 8*x + 2. Let q be t(8). Suppose 0 = -2*d + d + q. Factor 13/3*a**d + 1/3 + 8/3*a + 2*a**3.
(a + 1)**2*(6*a + 1)/3
Suppose -198*m + 209 + 583 = 0. Factor -2/3*x**m + 2/3*x**2 - 4/3*x**3 + 4/3*x + 0.
-2*x*(x - 1)*(x + 1)*(x + 2)/3
Let p(z) = 7*z**2 - 10*z + 6. Let k(b) = 15*b**2 + 2*b - 4*b + 13 - 14*b - 5*b. Let m(g) = -6*k(g) + 13*p(g). Solve m(n) = 0.
0, 4
Let h(l) be the second derivative of l**5/120 + l**4/18 + l**3/12 + 3*l + 7. What is d in h(d) = 0?
-3, -1, 0
Suppose -4*w + 4 = 12. Let o be (-3)/w*8/3. Let -o*a**3 + 7*a**4 + 2*a**5 - a**2 + 2*a**3 - 6*a**4 = 0. What is a?
-1, -1/2, 0, 1
Factor 26 + 51*u + 23*u**2 - u**3 - 14*u - 13*u**2.
-(u - 13)*(u + 1)*(u + 2)
Let k be (-10)/(-155) + 725/2697. Find o, given that k*o**4 + 3*o + 0 + 5*o**2 + 7/3*o**3 = 0.
-3, -1, 0
Suppose -11*z**2 - 62 + 97*z - 31*z**2 + 50 - 39*z + 8*z**3 = 0. Calculate z.
1/4, 2, 3
Let v(n) = n**2 + 3*n - 11. Let o be v(-6). Let -o*g - 4*g**3 + 3*g**4 - 4*g**3 + 15*g**2 + g - 4*g**3 = 0. Calculate g.
0, 1, 2
Let k(o) = -42*o - 164. Let n be k(-4). Let s(d) be the second derivative of -4*d + 0 + 1/36*d**n + 0*d**2 - 1/60*d**5 + 0*d**3. Factor s(w).
-w**2*(w - 1)/3
Let r(t) be the first derivative of -2*t**3/21 + 18*t**2/7 + 38*t/7 + 103. Factor r(w).
-2*(w - 19)*(w + 1)/7
Let k(u) = -60*u**2 + 215*u - 265. Let t(w) = -5*w**2 + 18*w - 22. Let i = 28 - 30. Let z(p) = i*k(p) + 25*t(p). Find c, given that z(c) = 0.
2
Let i(n) = 5*n**3 + n**2 - 3. Let m be 3*(2 - (-26)/(-6)). Let q(u) = -11*u**3 - 3*u**2 + 7. Let v(l) = m*i(l) - 3*q(l). Suppose v(t) = 0. Calculate t.
0, 1
Let z = 2070 + -4139/2. Let -z*l**2 + 5*l - 25/2 = 0. What is l?
5
Suppose -4*x + 6 = -6. Facto