-2, -1/4, 1
Let w be (-13)/((-117)/12) + 256/(-264). Suppose 16/11*x - 14/11*x**3 + 6/11*x**2 - 8/11 + w*x**4 = 0. Calculate x.
-1, 1/2, 2
Let h(a) = 7*a**2 - 4*a - 17. Let y(l) = 6*l**2 - 3*l - 14. Let r(d) = 5*h(d) - 6*y(d). Factor r(p).
-(p + 1)**2
Let z = -131/18 + -146/9. Let w = 145/6 + z. What is u in 2/3*u**2 - w*u - 2/9*u**3 + 2/9 = 0?
1
Let s(d) be the second derivative of d**5/60 - 5*d**4/24 - d**3 - 17*d**2 + 26*d. Let w(f) be the first derivative of s(f). Factor w(j).
(j - 6)*(j + 1)
Find q, given that -75/4*q**3 - 3*q - 585/8*q**4 + 0 - 231/8*q**5 + 45/2*q**2 = 0.
-2, -1, 0, 2/11, 2/7
Suppose -22*a + 19*a - 18 = -3*o, 2*a + 6 = -o. Let g(b) be the first derivative of -1/2*b + 15/16*b**o + 1/6*b**3 + 5. Factor g(p).
(p + 4)*(4*p - 1)/8
Suppose 5*r + 2*t = 0, 2*r - 5*t = -2*r. Factor 3/4*p**2 - 9/4*p + r.
3*p*(p - 3)/4
Suppose -8*f = -42 + 10. Let n(y) be the third derivative of 0 + 1/195*y**5 - 5*y**2 + 0*y - 1/156*y**f + 0*y**3 - 1/780*y**6. Factor n(j).
-2*j*(j - 1)**2/13
Let o(y) = 58*y - 462. Let a be o(8). Find w, given that -2/9*w**3 - 2/9*w + 0 + 4/9*w**a = 0.
0, 1
Let u(t) = -t**2 + 6*t + 18. Let j be u(8). Let v be (j/6)/(46/6 + -6). Determine a, given that -1/5*a**4 - 1/5*a**5 + 2/5*a**3 - v*a + 2/5*a**2 - 1/5 = 0.
-1, 1
Let y be -8*((-16)/15 - (-72)/180). Let t = 5/11 - -7/33. What is h in -t*h**3 - y - 4*h**2 - 8*h = 0?
-2
Let u(v) be the first derivative of v**4/10 + 6*v**3/5 + 24*v**2/5 + 32*v/5 + 64. Suppose u(l) = 0. What is l?
-4, -1
Let p be (42/833)/(39/221). Suppose -10/7*i**2 + 0 - 8/7*i - p*i**3 = 0. What is i?
-4, -1, 0
Let o(n) be the first derivative of 1/3*n**3 - 1/60*n**5 + 1/24*n**4 - 3/2*n**2 + 0*n + 1. Let g(s) be the second derivative of o(s). Factor g(w).
-(w - 2)*(w + 1)
Find g such that 12/5 - 2/5*g**3 - 14/5*g**2 + 2/5*g**4 + 2/5*g = 0.
-2, -1, 1, 3
Determine n so that 0*n**2 + 9/4*n**4 - 3/4*n**5 - 3/2*n**3 + 0 + 0*n = 0.
0, 1, 2
Suppose -2*x - 4*a - 24 = 0, x - a = a. Let d be x/(-3 + (-30)/16). Find o such that -8/13*o**5 + d*o**4 + 0*o + 0 - 10/13*o**3 + 2/13*o**2 = 0.
0, 1/2, 1
Let q be (-4)/(-14) - -1*52/14. Let c(v) be the second derivative of 5*v - 1/6*v**3 + 0 + 1/3*v**2 + 0*v**q + 1/60*v**5. Factor c(u).
(u - 1)**2*(u + 2)/3
Let d(o) = -5*o**3 - 2*o**2 - 6. Let j be d(-2). Let n be (0 + 2)/(-2) + 3. Find x such that x**n + 29*x - j*x + 0*x**2 = 0.
-3, 0
Let g(w) be the second derivative of w**6/6 - 3*w**5/2 + 5*w**4 - 25*w**3/3 + 15*w**2/2 - 41*w. Factor g(a).
5*(a - 3)*(a - 1)**3
Suppose 0 = 2*u - m - 153, 3*m + 120 - 41 = u. Factor 121 - u - 6*i**2 + i**2.
-5*(i - 3)*(i + 3)
Suppose 2*c**4 - 3700*c + 13312 + 13*c**3 + 769*c**2 + 33*c**2 + 9716*c + 61*c**3 + 206*c**2 = 0. Calculate c.
-13, -8
Let m(p) = p - 3. Let h be m(4). Let z = 1 + h. Factor 2*l**2 - 2*l**2 + z*l**2 - l**3.
-l**2*(l - 2)
Let d(k) be the second derivative of -10*k**7/21 + 7*k**6/6 - k**5/2 - 5*k**4/12 - k. Determine c so that d(c) = 0.
-1/4, 0, 1
Let r(z) be the third derivative of -z**8/448 + 11*z**6/160 + 9*z**5/40 + z**4/4 - 11*z**2 + 2. Let r(i) = 0. What is i?
-2, -1, 0, 4
Let d(p) be the second derivative of -8/11*p**2 + 3*p - 7/110*p**5 - 20/33*p**3 - 1/165*p**6 - 3/11*p**4 + 0. Determine z so that d(z) = 0.
-2, -1
Suppose -f + m + 3 = 3*m, 5*f + 45 = 5*m. Let l be (f/2)/(207/(-46)). Factor 4/9*t**3 + 2/9*t - 1/9*t**4 + 0 - l*t**2.
-t*(t - 2)*(t - 1)**2/9
Let v(g) = -8*g**4 - 57*g**3 - 132*g**2 - 136*g - 51. Let z(o) = -o**3 - 1. Let p(x) = -2*v(x) + 6*z(x). Factor p(c).
4*(c + 2)**3*(4*c + 3)
Let r(q) be the third derivative of 16/3*q**3 + 34/15*q**4 - 2*q**2 + 2/525*q**7 - 1 + 11/150*q**6 + 0*q + 14/25*q**5. Let r(y) = 0. Calculate y.
-5, -2
Let u = 13 - 10. Suppose u + 6 = 3*y + 2*x, 0 = 3*y + 5*x - 9. Find h, given that 5*h**y - 7*h**3 + 3*h + 5*h = 0.
-2, 0, 2
Suppose -5 = -3*m + 4. Suppose -5*v - y - m*y = -10, 3*y = -v + 2. Solve 9*o - 2*o**2 + 12*o + v - 21*o = 0.
-1, 1
Let g = 215/282 - 9/94. Let c(u) be the first derivative of -6 + 2*u + 2*u**2 + g*u**3. Factor c(y).
2*(y + 1)**2
Let m(a) be the first derivative of -5*a**2 - 25*a + 23 - 1/3*a**3. Determine b, given that m(b) = 0.
-5
Let y(b) be the first derivative of -b**4 - 16*b**3 - 42*b**2 - 40*b + 80. What is s in y(s) = 0?
-10, -1
Let k(d) be the third derivative of -d**5/330 + 4*d**4/33 - 5*d**3/11 - 182*d**2. Factor k(i).
-2*(i - 15)*(i - 1)/11
Let r(d) = d**2 + 2*d - 6. Let x be r(2). Suppose 0 = 5*j - 5, -2*b + 0*j - j = -7. Factor 4/5*w**b + 0*w**x + 0*w**4 - 2/5*w - 2/5*w**5 + 0.
-2*w*(w - 1)**2*(w + 1)**2/5
Let k(t) = 25*t**2 + 195*t + 187. Let p(d) = -9*d**2 - 66*d - 63. Let o(f) = -6*k(f) - 17*p(f). Determine w so that o(w) = 0.
-1, 17
Let d(f) = -16*f**4 - 8*f**2 + 9*f**4 + f - 14*f**3 - 1 - 2*f. Let m(n) = -n**3 - n**2 + 1. Let t(b) = -3*d(b) - 3*m(b). Factor t(c).
3*c*(c + 1)**2*(7*c + 1)
Let g(s) be the third derivative of -s**7/1120 + s**6/480 - 2*s**3 + 17*s**2. Let j(t) be the first derivative of g(t). Find o, given that j(o) = 0.
0, 1
Suppose -2*x = -2*y + 3*x - 21, 12 = y + 5*x. Let l be 66/9 - 2 - (1 - y). Find i such that 4/3*i**3 + 0 + 2/3*i**4 - l*i - 2/3*i**2 = 0.
-2, -1, 0, 1
Determine d, given that 130*d**2 - 65*d**2 - 69*d**2 + 24 + 4*d = 0.
-2, 3
What is f in 38/3*f**3 - 2/3*f**2 + 7*f**4 + 1/3*f**5 - 19/3 - 13*f = 0?
-19, -1, 1
Let n(i) be the first derivative of -7*i**4/6 + 44*i**3/9 - 17*i**2/3 + 4*i/3 + 340. Find h such that n(h) = 0.
1/7, 1, 2
Let u(v) be the first derivative of 0*v**3 - 4/5*v**5 - 4*v**2 + 4*v + 2*v**4 + 3. Factor u(x).
-4*(x - 1)**3*(x + 1)
Let o be -1 + 2 - (-8 - -3). Suppose 175*f**2 - 20 - f - 6*f - 7*f - o*f = 0. What is f?
-2/7, 2/5
Let o(f) be the first derivative of -1/5*f**2 - 4/5*f - 4 + 2/15*f**3. Factor o(w).
2*(w - 2)*(w + 1)/5
Suppose -8 = -2*x, -4*f + 10 - 6 = -2*x. Suppose -h - 6 = -2*b - 3, -15 = -5*b - 5*h. Solve 0*r**b + 9/5*r**4 + 0*r + 0 + 3*r**5 - 6/5*r**f = 0.
-1, 0, 2/5
Let w = -170651/11 - -15515. Let -16/11*d + w + 2/11*d**2 = 0. Calculate d.
1, 7
Let b(m) = 14*m**2 - 80*m - 18. Let u(t) = 14*t**2 - 80*t - 19. Suppose 5*a + 45 = -4*g, -3*a - 4 = -g + 6. Let x(y) = a*b(y) + 6*u(y). Factor x(f).
2*(f - 6)*(7*f + 2)
Determine s, given that -32/3*s**2 - 1/3*s**5 + 64/3 + 4/3*s**4 - 16/3*s + 8/3*s**3 = 0.
-2, 2, 4
Let m(p) be the first derivative of -p**3/3 + 11*p**2/2 - 7*p - 6. Let h be m(10). Factor 2*k + 0*k + k**3 - h*k**3.
-2*k*(k - 1)*(k + 1)
Let f(v) be the first derivative of 2*v**3/3 - 10*v**2 + 18*v - 45. Factor f(l).
2*(l - 9)*(l - 1)
Let x = 5 + -5. Suppose x = -5*s - 0*s. Factor 7*o**3 + 5*o**3 - 1 + s*o - 2 + 21*o**2 + 6*o.
3*(o + 1)**2*(4*o - 1)
Suppose -66*t - 18 = -72*t. Let s be (-1)/(t*3/(-27)). Determine m so that -3 + 105/4*m**2 - s*m = 0.
-2/7, 2/5
Let -3/2*v**2 - 9/8*v + 0 - 3/8*v**3 = 0. What is v?
-3, -1, 0
Factor 0 + 200/3*s + 16*s**3 + 60*s**2 + 4/3*s**4.
4*s*(s + 2)*(s + 5)**2/3
Factor 52 + 552 + c**4 + 358*c**2 - 7*c**3 - 163 + 840*c - 33*c**3 + 0*c**4.
(c - 21)**2*(c + 1)**2
Let l(f) = -f**2 + 20*f + 12. Let t be l(-7). Let s = t - -180. Factor -s*a + 3*a**3 - 3/2 + 3/2*a**4 + 0*a**2.
3*(a - 1)*(a + 1)**3/2
Let d = -2 + 13. Let l(s) = -8*s**3 - 20*s**2 - 16*s - 4. Let f(r) = -23*r**3 - 59*r**2 - 49*r - 13. Let a(k) = d*l(k) - 4*f(k). Factor a(g).
4*(g + 1)**2*(g + 2)
Let b(m) = -m**2 - m. Let d(c) = -3*c**2 + 2*c + 2. Let k(j) = 2*b(j) - d(j). Let o be k(5). Factor -s**2 + o*s - 6*s - 5*s**4 - 8*s**3 + 0*s + 5*s.
-s*(s + 1)**2*(5*s - 2)
Let h be (-5)/15*0*(-5)/(-5). Let z(k) be the second derivative of -1/40*k**5 + h*k**4 + 0 + 0*k**2 + 0*k**3 - k. Factor z(w).
-w**3/2
Let o(t) = t**2 - 5*t - 4. Let l be o(6). Suppose -l*j + 176 = 2*j. Solve 60*a + 4*a**3 + 9*a**2 + 7*a**2 - j*a = 0.
-2, 0
Determine g, given that -45/2*g + 3/2*g**2 + 39 = 0.
2, 13
Suppose -5586*r**5 - 19181*r**3 - 36450*r**4 + 35984*r**2 + 99821*r**3 + 4960*r - 1551*r**5 + 387*r**5 + 224 = 0. What is r?
-7, -2/15, 2
Determine o, given that 9/8*o - 1/8*o**2 - 9/4 = 0.
3, 6
Let n(p) = -p**3 - 4*p**2 - 5*p - 3. Let g be n(-3). Let t(o) = -o**2 + 4*o - 1. Let s be t(3). Factor -27 + 10*i + 8*i - g*i**2 - i**2 + i**s.
-3*(i - 3)**2
Let q(n) be the second derivative of -1/70*n**6 + 0 + 1/14*n**4 + 6*n + 0*n**5 - 3/14*n**2 + 0*n**3. Factor q(o).
-3*(o - 1)**2*(o + 1)**2/7
Let z