0. What is y?
-1, 0, 1
Let o(n) be the third derivative of 1/30*n**5 + 0*n**3 - 1/12*n**4 + 0 + 0*n - 7*n**2. Solve o(c) = 0.
0, 1
Let t(m) = -m - 2. Let n be t(-4). Let z be 2 - (n/2 + -2). Factor -z*q**3 - 3*q**2 - 2*q - 4*q**2 + 3*q**2 + q**3.
-2*q*(q + 1)**2
What is t in -2/13*t**2 + 2/13 + 0*t = 0?
-1, 1
Let p(o) = 2*o + 13. Let w be p(-9). Let f be w + 7 + 6/(-4). Factor f*m**2 + 0*m + 0 - 1/2*m**4 - 1/2*m**3 + 1/2*m**5.
m**2*(m - 1)**2*(m + 1)/2
Let r(u) be the third derivative of 0 + 0*u - 5/8*u**4 + 1/5*u**5 - 1/40*u**6 + 2*u**2 + u**3. Suppose r(c) = 0. What is c?
1, 2
Let o(m) = -m**2 - m + 3. Let y be 0/(0 - 6/(-3)). Let u be o(y). What is x in 2/3*x**2 + 2/3*x - 2/3*x**u - 2/3 = 0?
-1, 1
Suppose 0 = -9*l + 4*l - 3*o + 433, 428 = 5*l - 2*o. Factor -52*j**3 + 30*j**4 - 104*j**2 + 106*j**3 + 68*j**4 + l*j**3 + 16*j.
2*j*(j + 2)*(7*j - 2)**2
Let j(f) be the third derivative of f**8/336 - f**7/42 + f**6/12 - f**5/6 + 5*f**4/24 - f**3/6 + 2*f**2. Factor j(n).
(n - 1)**5
Let h(n) be the first derivative of 3 - 1/720*n**6 + 4/3*n**3 + 0*n**4 + 0*n**2 + 0*n**5 + 0*n. Let y(w) be the third derivative of h(w). Factor y(i).
-i**2/2
Determine j so that 1/6*j**4 - 2*j + 1/3*j**3 + 6 - 11/6*j**2 = 0.
-3, 2
Let l be 2/2 + -3 + (2 - 0). Factor -2/5 + 2/5*o**2 + l*o.
2*(o - 1)*(o + 1)/5
Let i(k) = -k - 6. Let r be i(-8). Factor -2/5 - 6/5*u - 2/5*u**3 - 6/5*u**r.
-2*(u + 1)**3/5
Let y(v) be the first derivative of -5*v**4/4 + 5*v**3 - 5*v**2 - 11. Factor y(f).
-5*f*(f - 2)*(f - 1)
Suppose -6 - 14 = 5*u. Let p = u + 4. Factor -7*y - 16*y**4 - 7*y**3 - 13*y**3 - 4*y**5 - 19*y**2 + p*y - 1 - 5*y**3.
-(y + 1)**3*(2*y + 1)**2
Let p be (-10)/30 + 91/3. Let k be 3/p + (-6)/(-15). Determine n so that k*n**2 - 1/2*n - 1/2*n**4 - n**5 + 3/2*n**3 + 0 = 0.
-1, 0, 1/2, 1
Let p be (-27)/36 - 62/(-8). Let t = 15/2 - p. Factor t*o**2 + 0*o + 0.
o**2/2
Let t = 257/2770 + 2/277. Let q(h) be the first derivative of -1/8*h**2 + 1/24*h**6 + 2 + 1/6*h**3 + 0*h - t*h**5 + 0*h**4. Find u such that q(u) = 0.
-1, 0, 1
Let i(w) be the second derivative of -w**6/150 - w**5/50 - 31*w. Factor i(o).
-o**3*(o + 2)/5
Solve 0 - i**2 + i**4 + 7/3*i**3 - 5/3*i**5 - 2/3*i = 0 for i.
-1, -2/5, 0, 1
Let c(k) be the first derivative of 0*k + 0*k**2 - 5/16*k**4 + 2 - 1/5*k**5 - 1/12*k**3. Factor c(p).
-p**2*(p + 1)*(4*p + 1)/4
Suppose 3*y**2 + 3/2*y**3 - 3/2*y**4 + 0 + 0*y = 0. Calculate y.
-1, 0, 2
Let f(u) be the first derivative of u**6/48 - u**5/10 - u**4/16 + u**3/2 + 9*u**2/16 + 19. Determine q so that f(q) = 0.
-1, 0, 3
Let v be (1 - (-33)/(-12))*10. Let y = v + 18. Factor y*x**3 + 0 + 0*x**2 + 0*x.
x**3/2
Let i(r) be the second derivative of -1/5*r**5 + 0*r**3 - 1/3*r**7 + 2*r - 3/5*r**6 + 0*r**4 + 0*r**2 + 0. Factor i(c).
-2*c**3*(c + 1)*(7*c + 2)
Let q(u) = -13*u + 16. Let j be q(1). Suppose -16/9*v**4 + 14/9*v**j + 2/3*v**5 - 4/9*v**2 + 0 + 0*v = 0. What is v?
0, 2/3, 1
Suppose -4/3*g**2 - 16/3 - 34/3*g = 0. What is g?
-8, -1/2
Suppose -d + 2 = -3*d - 4*p, -p - 2 = 0. Factor -1/5*o**4 + 0 + 0*o**2 + 0*o**d - 1/5*o**5 + 0*o.
-o**4*(o + 1)/5
Suppose 4*v - 4 = 2*v. Factor -2*a**2 - 3*a - a + 0 + v*a + 4.
-2*(a - 1)*(a + 2)
Let m(c) be the first derivative of c**7/3360 - c**6/720 + c**5/480 - 8*c**3/3 + 11. Let n(t) be the third derivative of m(t). Factor n(l).
l*(l - 1)**2/4
Let v(l) = 7 + 5 + 10*l**2 + 56*l + 53 - 9. Let c(u) = -2*u**2 - 11*u - 11. Let o = -20 + 36. Let d(g) = o*c(g) + 3*v(g). Factor d(f).
-2*(f + 2)**2
Let 3*c**3 - 9*c**4 + 13*c**4 + 3*c**3 - c**4 = 0. What is c?
-2, 0
Suppose 8 = -2*w + 5*m - 7, -4*w + 5*m = 5. Solve 0*v**3 + 0*v**4 + 0*v**2 - 2/13*v**w + 0*v + 0 = 0.
0
Suppose -3*f + 229 - 229 = 0. Factor 0*h + f + 2/11*h**2.
2*h**2/11
Let w be (-24510)/(-387)*12/55. Find v such that 722/11*v**3 - 16/11 - 508/11*v**2 - 448/11*v**4 + w*v + 98/11*v**5 = 0.
2/7, 1, 2
Let z(u) be the third derivative of 4*u**6/135 + 4*u**5/135 - 5*u**4/36 - u**3/3 - 12*u**2. Factor z(x).
2*(x - 1)*(4*x + 3)**2/9
Let r(t) be the second derivative of 1/8*t**5 + t + 0 - 1/2*t**2 + 1/3*t**4 + 1/12*t**3. Determine z so that r(z) = 0.
-1, 2/5
Solve -40/7*u - 16/7 - 2/7*u**4 - 2*u**3 - 36/7*u**2 = 0 for u.
-2, -1
Let g be 91/21 - 2 - (-10)/6. What is r in 15/2*r**g - 2/3 + 4*r + 1/6*r**3 - 41/6*r**2 - 25/6*r**5 = 0?
-1, 2/5, 1
Let p(s) be the second derivative of -s**4/108 + 7*s**3/54 - s**2/3 - 29*s. Determine g, given that p(g) = 0.
1, 6
Let p(o) = -2*o**3 - 2*o**2 + 3*o + 2. Let a be p(-2). Find c, given that c**a + c**3 - 12*c**2 + 12*c**2 = 0.
-1, 0
Let f(p) be the second derivative of p**8/1680 - p**7/560 + p**6/720 - p**3/2 - 3*p. Let g(y) be the second derivative of f(y). Factor g(j).
j**2*(j - 1)*(2*j - 1)/2
Let v(k) be the second derivative of k**8/23520 - k**7/4410 - k**4/6 - k. Let z(n) be the third derivative of v(n). Determine h so that z(h) = 0.
0, 2
Suppose 2*f - 21 + 17 = 0. What is s in -4*s**4 - 5*s**2 - 17*s**4 - 27*s**3 - 4*s**f + 3*s**2 = 0?
-1, -2/7, 0
Let c(h) be the first derivative of -2/35*h**5 - 1/21*h**6 + 2/21*h**3 + 0*h**2 + 0*h - 5 + 1/14*h**4. Factor c(t).
-2*t**2*(t - 1)*(t + 1)**2/7
Suppose 4*l - 18 - 6 = 0. Factor -2*i - l*i**4 - i**2 - 7*i**2 + 2*i**3 + i**2 + 13*i**4.
i*(i - 1)*(i + 1)*(7*i + 2)
Let y(q) be the third derivative of q**7/945 - q**6/540 - q**5/90 + q**4/108 + 2*q**3/27 - 26*q**2. Suppose y(h) = 0. Calculate h.
-1, 1, 2
Let q(x) be the third derivative of 0*x + 0*x**3 + 0 + 1/18*x**4 - 1/90*x**5 + x**2. Suppose q(d) = 0. Calculate d.
0, 2
Let m(t) = t - 12. Let y be m(16). Find d, given that 0 + 2/5*d**2 - 2/5*d**y + 2/5*d - 2/5*d**3 = 0.
-1, 0, 1
Let v(l) be the third derivative of l**8/40320 + l**7/2520 + l**6/360 - l**5/60 + 6*l**2. Let s(h) be the third derivative of v(h). Factor s(d).
(d + 2)**2/2
Let l(o) = 5*o**3 - 16*o**2 - 11*o + 11. Let r(s) = s**3 - 3*s**2 - 2*s + 2. Let m(p) = -6*l(p) + 33*r(p). Determine d so that m(d) = 0.
0, 1
Let m(y) be the second derivative of y - 1/18*y**4 + 0 + 2/3*y**2 + 1/9*y**3. Solve m(r) = 0.
-1, 2
Let k = 14 - 12. Let u(g) = 11*g**5 - 9*g**4 - 13*g**3 - 7*g. Let r(x) = x**5 - x**4 - x**3 - x. Let n(d) = k*u(d) - 18*r(d). Factor n(b).
4*b*(b - 1)**2*(b + 1)**2
Let o = 1888/89 + -6/445. Let u = o - 97/5. Solve -u*h**4 - 9/5*h**3 + 0*h + 0 - 3/5*h**2 - 3/5*h**5 = 0 for h.
-1, 0
Let x(u) be the third derivative of -u**8/1008 + u**6/180 - u**4/72 - 11*u**2. Factor x(r).
-r*(r - 1)**2*(r + 1)**2/3
Let z be 7/4 + (-1)/(-4). Let p(b) = -b**3 + 7*b**2 + b - 3. Let c be p(7). Determine u so that 3 - u**c - 6 + 2*u**z + 2 = 0.
-1, 1
Suppose 7*j = 4*j + 18. Find b such that -j*b**3 + b**2 - 5*b**2 + 4*b**3 = 0.
-2, 0
Let l = -7/12 + 5/4. Factor -4/3*d**2 - l*d**3 + 0 + 0*d.
-2*d**2*(d + 2)/3
Let q = -61 - -64. What is a in 2/11*a**2 + 0*a + 0*a**q + 0 - 2/11*a**4 = 0?
-1, 0, 1
Suppose f + 7 - 41 = 0. Suppose -3*i - 4*c + 7 = 0, -i + c + f = -4*c. Let -i*y**3 + y + 2*y - 3*y**4 + 9*y = 0. Calculate y.
-2, 0, 1
Let z = 89137 - 16222833/182. Let c = z - 7/26. Factor 8/7*q - c*q**2 - 8/7.
-2*(q - 2)**2/7
Let q = 7/6 - 2/3. Solve -q*w**2 + 0 + 3/2*w**3 - 3/2*w**4 + 1/2*w**5 + 0*w = 0.
0, 1
Let p(j) = -5*j**2 + 65*j - 35. Let a(b) = 1. Let o(f) = -25*a(f) + p(f). Factor o(q).
-5*(q - 12)*(q - 1)
Let a be 9/(-2)*(-24)/27. Factor 0*l**2 + 0*l + 2/3*l**a + 1/3*l**5 + 0 + 1/3*l**3.
l**3*(l + 1)**2/3
Let o(v) be the first derivative of v**7/735 - v**5/105 + v**3/21 + 3*v**2/2 - 3. Let a(d) be the second derivative of o(d). Factor a(p).
2*(p - 1)**2*(p + 1)**2/7
Let d(j) be the second derivative of 2*j**6/15 - 7*j**5/5 + 6*j**4 - 40*j**3/3 + 16*j**2 + 6*j. Let d(a) = 0. Calculate a.
1, 2
Let y(p) = p**2 - 6*p + 7. Let t be y(7). Let j(g) = 7*g**3 - 3*g**2 - 7*g - 4. Let v(o) = -4*o**3 + o**2 + 4*o + 2. Let b(w) = t*v(w) + 6*j(w). Solve b(s) = 0.
-1, -2/7, 1
Let s(t) be the first derivative of -t**3/4 - 3*t**2 - 35. Factor s(d).
-3*d*(d + 8)/4
Let f be 1 + (4 - 7)*4. Let h = -21/2 - f. Factor 1/2*p**2 - p + h.
(p - 1)**2/2
Let w(f) be the third derivative of 128*f**7/175 + 152*f**6/75 - 36*f**5/25 - 13*f**4/2 + 20*f**3/3 - 10*f**2. Suppose w(q) = 0. What is q?
-5/4, 1/4, 2/3
Let s(r) be the first derivative of -2*r**3/45 + 4*r**2/15 - 23. Factor s(q).
-2*q*(q - 4)/15
Let o(t) = -t**3 + 5*t**2 - 8*t + 9. Let n be o(