-2, -1, -2/5, 0
Let 0 + 2/13*a**3 + 8/13*a + 10/13*a**2 = 0. What is a?
-4, -1, 0
Suppose -10 = -85*h + 80*h. Suppose -3*o = o - 16. Factor -22*i**4 + 2*i**2 + 23*i**4 - h*i - o*i**3 + 0*i**3 + 3*i**2.
i*(i - 2)*(i - 1)**2
Suppose -26*v - v - 14 + 68 = 0. Factor 0*z**3 + 5/4*z - 5/4*z**5 + 0 + 5/2*z**4 - 5/2*z**v.
-5*z*(z - 1)**3*(z + 1)/4
Let z(j) be the first derivative of -1/4*j**2 - 15 + 0*j - 3/16*j**4 + 7/12*j**3. Let z(b) = 0. Calculate b.
0, 1/3, 2
Let s(h) be the first derivative of -3*h**5/5 - 6*h**4 - 20*h**3 - 24*h**2 + 615. Factor s(i).
-3*i*(i + 2)**2*(i + 4)
Suppose -1 - 2*o**3 - 1 + 61*o**2 - 59*o**2 + 2*o = 0. What is o?
-1, 1
Let x = 37 + -34. Let i be (-1)/x*21/(-35). Factor i*d**2 - 4/5*d + 4/5.
(d - 2)**2/5
Let l(z) be the second derivative of -1/3*z**6 + 0*z**3 + 0 + 25*z - z**5 + 0*z**2 + 5/42*z**7 + 10/3*z**4. Factor l(m).
5*m**2*(m - 2)**2*(m + 2)
Factor -375*u - 2*u**4 - 368*u + 743*u - 3*u**4 + 5*u**3.
-5*u**3*(u - 1)
Factor 27*k**2 - 13*k - 8 + 16*k**2 + 9*k**3 + 39*k.
(k + 1)*(k + 4)*(9*k - 2)
Let r be (-4)/(-8) + (-4)/(-112)*66 + -2. Factor 0 + 0*d + 4/7*d**2 + 2/7*d**4 - r*d**3.
2*d**2*(d - 2)*(d - 1)/7
Factor -64/11*d - 2/11*d**3 - 2*d**2 - 56/11.
-2*(d + 2)**2*(d + 7)/11
Suppose 0 = 3*a + 6*c - 11*c, 0 = 5*a + 2*c. Let d = -26 + 184/7. Factor 0*x**2 + a - d*x**4 + 0*x + 2/7*x**5 + 0*x**3.
2*x**4*(x - 1)/7
Solve g**2 - 10*g**5 - 17*g**2 - 1785*g**3 + 1615*g**3 - 27*g**2 + 210*g + 95*g**4 - 22*g**2 = 0.
-1, 0, 3/2, 2, 7
Find n such that -31/2*n**3 - 11*n**2 - 5*n**4 + 16*n + 16 - 1/2*n**5 = 0.
-4, -2, -1, 1
Suppose 0 = -a - 2 + 18. Determine h so that -94*h**4 + 185*h**4 - 93*h**4 - a*h**3 = 0.
-8, 0
Suppose -12*q + 234 = -14*q. Let s be q/315 - 8/(-14). Find y such that 4/5*y + s*y**2 + 4/5 = 0.
-2
Let m(q) be the first derivative of 0*q + 1/2*q**3 + 9/4*q**2 - 28. Solve m(p) = 0 for p.
-3, 0
Let f(i) be the third derivative of -1/4*i**3 + 0 + 0*i - 20*i**2 + 7/96*i**4 - 1/240*i**5. Determine j, given that f(j) = 0.
1, 6
Factor -149*t**2 - t**3 + 666*t + 143*t**2 - 8 - 651*t.
-(t - 1)**2*(t + 8)
Let a(k) = -10*k**4 + 35*k**3 + 45*k**2 + 5*k + 5. Let m(l) = -11*l**4 + 35*l**3 + 46*l**2 + 6*l + 6. Let f(n) = 6*a(n) - 5*m(n). Factor f(s).
-5*s**2*(s - 8)*(s + 1)
Let p(h) = 2*h**3 + 4*h + 4. Let f = 25 + -14. Let i = -15 + f. Let z(b) = 5*b**3 + b**2 + 9*b + 9. Let v(d) = i*z(d) + 9*p(d). Find q, given that v(q) = 0.
-2, 0
Let v(n) = -n**3 + n. Let z(f) = 5*f**3 - 87*f**2 + 921*f + 484. Let w(c) = -3*v(c) - z(c). Solve w(l) = 0.
-1/2, 22
Let v = -166 + 175. Suppose -2*x - v*x = 0. What is f in -2/5*f**4 + 0*f**2 + x*f + 0 + 2/5*f**3 = 0?
0, 1
Let y(l) = l**2 + 6*l - 69. Let f be y(6). Let u(b) be the first derivative of -2/7*b**f - 1/14*b**4 - 2/7*b - 3/7*b**2 + 4. Factor u(w).
-2*(w + 1)**3/7
Let n be (-5 + 12 - 6) + -1 + 1. Let i be n + (3/6)/(-1). Determine w so that 0 + i*w**4 - 1/2*w**2 + 0*w**3 + 0*w = 0.
-1, 0, 1
Let j(q) = 7 - 14*q - 8 - q**3 - 10*q + 13*q**2 + 23. Let i be j(11). Factor 0*n**3 + i - 3/4*n**4 + 3/8*n - 3/8*n**5 + 3/4*n**2.
-3*n*(n - 1)*(n + 1)**3/8
Let o be (-1 + 1)*6*6/180. Determine k so that 0 + o*k**2 + 0*k - 2/3*k**3 = 0.
0
Suppose -5*z + 5*g = -25, 2*z + 3 = -g + 4. Suppose 2*q - 5 - 26 = -5*a, -26 = -4*a - z*q. Solve -5*o**a - o**3 + o**5 + 3*o**3 + 2*o**3 = 0.
-1, 0, 1
Let o(j) be the third derivative of -j**6/420 + 3*j**5/35 - 27*j**4/28 - 24*j**2 + 2*j. Factor o(v).
-2*v*(v - 9)**2/7
Suppose 3*f + 2*f = 0. Let l(c) = c**3 + 48*c**2 + 47*c + 2. Let g be l(-47). Find a, given that 13/5*a**g + f - 2/5*a = 0.
0, 2/13
Let x be (0/(-6 + 2))/((-24)/6 - -3). Factor x*g + 0*g**2 + 2/7*g**4 + 6/7*g**3 + 0.
2*g**3*(g + 3)/7
Let k(d) = 425*d - 8071. Let m be k(19). Suppose -2/3*j**3 + 0 + m*j**2 + 14/3*j = 0. Calculate j.
-1, 0, 7
Let n(s) be the first derivative of 4*s**5/5 - 11*s**4 + 76*s**3/3 - 18*s**2 + 193. Factor n(f).
4*f*(f - 9)*(f - 1)**2
Let i(u) be the second derivative of -1/6*u**2 + 1/72*u**4 + 0 - 1/36*u**3 + 14*u. Factor i(v).
(v - 2)*(v + 1)/6
Let a(l) be the first derivative of l**3 + 9*l**2 - 81*l - 75. Factor a(c).
3*(c - 3)*(c + 9)
Factor -3*f**2 - 3*f**2 + 1202 - 2039 + 4*f**2 + 64*f + 973.
-2*(f - 34)*(f + 2)
Let g = 17768/7 + -2538. Factor -g - 18/7*o**2 + 8/7*o**3 + 12/7*o.
2*(o - 1)**2*(4*o - 1)/7
Let m(q) be the second derivative of -q**5/230 + 8*q**4/69 + 2*q - 1. Factor m(k).
-2*k**2*(k - 16)/23
Suppose -105 = -d - v - 102, -9 = -3*v. Solve 0*c + 2/9*c**3 + 4/9*c**4 - 2/9*c**5 - 4/9*c**2 + d = 0.
-1, 0, 1, 2
Determine q, given that 24*q**3 + 190*q**5 + 12*q - 194*q**5 + 14*q**2 - 46*q**2 = 0.
-3, 0, 1
Let b be 112/20 + 4/10. Let z(m) = 2*m**2 - 14*m + 14. Let f be z(b). Factor 0 - 2/5*j**f + 0*j.
-2*j**2/5
Suppose 491*h - 510*h = 0. Suppose -6/13*r + 4/13 + 2/13*r**3 + h*r**2 = 0. What is r?
-2, 1
Factor -15/7*t**2 + 18/7*t + 0 + 3/7*t**3.
3*t*(t - 3)*(t - 2)/7
Factor 64*s - 2*s**3 + 45 - 152*s + 13*s - 3*s**3 + 35*s**2.
-5*(s - 3)**2*(s - 1)
Let a(k) be the second derivative of -1/3*k**4 + 3*k + 0*k**2 + 0 - 4/3*k**3. Find c such that a(c) = 0.
-2, 0
Let p be (-114)/(-95) - (-8)/10. Suppose 0 = 3*u - 4*u + 2. Suppose -u*t + 4/3 + 2/3*t**3 + 0*t**p = 0. What is t?
-2, 1
Let z(c) be the first derivative of 0*c**2 + 28/3*c**3 - 2/3*c**6 - 16*c - 22 - 12/5*c**5 + c**4. Solve z(g) = 0.
-2, -1, 1
What is p in 2 - 12150*p**4 + 12138*p**4 - 7 + 24*p**2 + 4*p**5 - 7 - 8*p**3 + 4*p = 0?
-1, 1, 3
Let d(v) be the third derivative of -v**6/220 + 14*v**5/55 - 49*v**4/11 - 29*v**2 - 5. Factor d(j).
-6*j*(j - 14)**2/11
Solve -6*n**3 + 735 - 55*n**2 + 15712*n - 15747*n + n**3 = 0.
-7, 3
Factor 16/3*q**2 - 2/9*q**4 + 2/3*q**3 + 0 + 56/9*q.
-2*q*(q - 7)*(q + 2)**2/9
Let t(k) = 10*k**2 + 12*k + 16. Let r(h) be the second derivative of -h**4/4 - 2*h**3/3 - 5*h**2/2 - 5*h. Let z(n) = 7*r(n) + 2*t(n). Let z(j) = 0. Calculate j.
-3, -1
Suppose 0 = 3*t - 4*u - 6, 3*t + 0*u - 2*u = 6. Factor -z + z**3 + 36*z**t - 36*z**2.
z*(z - 1)*(z + 1)
Let c(w) be the second derivative of -2/21*w**7 - 2/15*w**6 + 9*w + 0*w**5 + 0*w**2 + 0*w**3 + 0*w**4 + 0. Factor c(s).
-4*s**4*(s + 1)
Let c be (10/25*5)/((-20)/(-34)). Let w = 19/5 - c. Factor w*z**5 + 2/5 - 6/5*z + 4/5*z**2 - 6/5*z**4 + 4/5*z**3.
2*(z - 1)**4*(z + 1)/5
Let j(i) be the first derivative of -i**5/10 - 7*i**4/8 - 17*i**3/6 - 17*i**2/4 - 3*i + 97. Factor j(u).
-(u + 1)**2*(u + 2)*(u + 3)/2
Suppose 0 = -3*m - 4 + 13. Factor -3 - 15*g**3 - 5 + 4*g**2 + 4*g**4 + m*g**3 + 12*g.
4*(g - 2)*(g - 1)**2*(g + 1)
Let l(g) be the second derivative of 0 + 0*g**3 + 0*g**4 + 0*g**2 - 1/160*g**5 - 22*g. Factor l(c).
-c**3/8
Let q be 125/45 - 4/(-18). Suppose -3*b = -v - v - q, -4*b = -4*v. Factor -2*r**b - 16*r - 2*r**4 - 10*r**3 - 24*r**2 + 0*r**4.
-2*r*(r + 2)**3
Let g(a) be the first derivative of 45*a**4/4 + 1265*a**3 + 2500*a**2 + 1660*a + 384. Solve g(f) = 0.
-83, -2/3
Let k = 660/19 + -5902/171. Factor k*x**4 - 2/9*x**5 - 2/9*x**2 + 0 + 2/9*x**3 + 0*x.
-2*x**2*(x - 1)**2*(x + 1)/9
Factor -7*t**2 - 14*t - 12*t + 8*t**2 - 40*t + 11*t.
t*(t - 55)
Let q(g) be the first derivative of 0*g - 20/3*g**3 + 11 + g**4 + 6*g**2 + 4/5*g**5. Factor q(u).
4*u*(u - 1)**2*(u + 3)
Let d(q) be the second derivative of -q**8/2240 - q**7/84 - 5*q**6/48 + 3*q**4/2 - q. Let g(o) be the third derivative of d(o). Let g(p) = 0. What is p?
-5, 0
Factor 4*t + 39/4 + 1/4*t**2.
(t + 3)*(t + 13)/4
Let s be (1273/(-4690))/(3/(-15)) - 1/(-7). Find y, given that 0*y + 18*y**3 + 54*y**2 + s*y**4 + 0 = 0.
-6, 0
Factor 0*z**3 - 1/8*z**4 + 0 + 0*z + 1/8*z**2.
-z**2*(z - 1)*(z + 1)/8
Let i(a) = -8*a**2 - 225*a. Let x(v) = -3*v**2 - 111*v. Let g(c) = 3*i(c) - 7*x(c). Factor g(t).
-3*t*(t - 34)
Suppose 0 = -4*g - 2*q + 34, -5*q = -g - 7 - 12. Factor -8/5 - 7/5*n**2 - g*n.
-(n + 4)*(7*n + 2)/5
Let u(s) = -9 - 3*s**2 + 11*s**2 + 2*s - s. Let i(n) = n**2 + 25*n - 40. Let h be i(-27). Let l(m) = m - 1. Let q(p) = h*l(p) - 2*u(p). Factor q(f).
-4*(f - 1)*(4*f + 1)
Factor h**4 - 1219*h**2 - 1227*h**2 - 3*h**3 + 2448*h**2.
h**2*(h - 2)*(h - 1)
Let f be ((-103)/(-5))/((-88)/16). Let w = -28/11 - f. Factor 0*z + 0 - 3/5*z**5 - w*z**3 + 9/5*z**4 + 0*z**2.
-3*z**3*(z - 2)*(z - 1)/5
Let r = -1/1893 + 1897/7572. Let s be (-2)/8 - (1 + -2). Solve -s - r*i**2 + i = 0.
1, 3
Let r(b) = 5*b**3 + 125*b*