for t.
-3, -2, 2
Let m be -5 + ((-189)/(-4))/9. Factor m*j**2 + 3/4*j + 0.
j*(j + 3)/4
Factor 2/11*c**2 + 0 - 20/11*c.
2*c*(c - 10)/11
Suppose 3*r = 10*r. Factor 1/3*i**4 + r*i**3 - 1/6*i**5 + 0 + 1/6*i - 1/3*i**2.
-i*(i - 1)**3*(i + 1)/6
Let v be (1 + (-20)/12)*-3. Suppose 3*c + v*c - 4*b = 41, b = -4. Solve 34/5*a**4 + 6/5*a**3 + 0*a + 24/5*a**c + 0 - 4/5*a**2 = 0.
-1, -2/3, 0, 1/4
Let h(k) be the first derivative of 9*k**4/28 + 5*k**3/7 - 6*k**2/7 - 12*k/7 + 2. Let h(o) = 0. Calculate o.
-2, -2/3, 1
Let v = 244/3 + -81. Factor -v*p**3 + 2/3*p**2 - 1/3*p + 0.
-p*(p - 1)**2/3
Let x(r) = -7*r**2 - 4*r + 11. Let c(v) = -8*v**2 - 4*v + 12. Let i(s) = 3*c(s) - 4*x(s). Suppose i(p) = 0. What is p?
-2, 1
Let x be ((-8)/18)/((-60)/27 + 2). Determine v so that 2/5*v - 16/5*v**3 + 0 + 9/5*v**4 + v**x = 0.
-2/9, 0, 1
Let l = 15 + -10. Solve 1 - l*a**2 + 1 + 2*a**2 - 3*a + 4 = 0 for a.
-2, 1
Suppose 0 = -2*v - 1 + 9. Solve -j**2 + 4*j**4 + 3*j**4 - 6*j**v - j + j**3 = 0.
-1, 0, 1
Let h(q) be the first derivative of q**4/24 - 5*q**3/9 + 25*q**2/12 + 3. Suppose h(j) = 0. What is j?
0, 5
Let l be ((-56)/16 + (-1)/(-2))/(-1). Determine v, given that 2/7*v**4 + 0*v + 0*v**l + 0 - 2/7*v**2 = 0.
-1, 0, 1
Let d be (3 - (-27)/(-6))*-2. Let x(v) be the first derivative of 2*v**d + 0*v**2 - 1 + 1/2*v**4 - 8*v. Find u such that x(u) = 0.
-2, 1
Suppose 8*k + k**3 - 4*k**3 - 3*k**2 + 5*k**3 + 11*k**2 = 0. Calculate k.
-2, 0
Suppose -4*v = p + 2, 2*p + 3 = 5*v + 12. Let s(a) be the third derivative of 0*a + 0 - 3*a**p - 2/9*a**3 + 1/18*a**4 - 1/180*a**5. Factor s(j).
-(j - 2)**2/3
Suppose -1 = -4*w + 7. Factor -2*z**4 - 2*z**4 - z**2 - 3*z**w + 8*z**3.
-4*z**2*(z - 1)**2
Factor 0 + 1/9*y + 1/9*y**2.
y*(y + 1)/9
Determine o, given that 3/5 + 9/5*o + 3/5*o**3 + 9/5*o**2 = 0.
-1
Let f(m) = 5*m**4 + 41*m**3 + 51*m**2 - 129*m - 264. Let l(z) = -z**3 - z**2 - z - 1. Let c(o) = f(o) + 6*l(o). Factor c(q).
5*(q - 2)*(q + 3)**3
Let f(q) = 2*q**3 - 9*q**2 - 15*q - 5. Let t(u) = -3*u**3 + 17*u**2 + 29*u + 11. Let v(j) = -5*f(j) - 3*t(j). Solve v(p) = 0.
-2
Let z = 60 + -60. Factor z*k - 1/2*k**2 + 0.
-k**2/2
Let a(z) = 9*z**3 + 7*z**2 - 34*z + 11. Let w(b) = -3*b**3 - 2*b**2 + 11*b - 4. Let v(t) = -2*a(t) - 7*w(t). Find q, given that v(q) = 0.
-2, 1
Suppose 2*n + 4 = 4*l + 40, -2*n + 39 = -5*l. Factor -n*q - 3/2*q**2 - 24.
-3*(q + 4)**2/2
Suppose 0 = -2*m - 4*o - 2 - 6, 4*m + 5*o = -7. Suppose 2*v = -0 + 6. Suppose -18*r**v - 10*r**m - 1 + 37*r**2 + 33*r**2 - 56*r + 17 = 0. What is r?
2/3, 2
Solve -1/4*s**5 + 1/2*s**4 + 0*s + 0 + 1/4*s**3 - 1/2*s**2 = 0 for s.
-1, 0, 1, 2
Suppose 0 - 6/5*o**3 + 8/5*o**4 - 2/5*o**5 - 8/5*o**2 + 8/5*o = 0. What is o?
-1, 0, 1, 2
Let j(n) be the first derivative of -n**5/10 - n**4/2 + 4*n**2 + 8*n - 16. Suppose j(h) = 0. Calculate h.
-2, 2
Let t(n) be the second derivative of 0 + 1/3*n**3 - 1/50*n**5 - 2/5*n**2 + 2*n - 1/10*n**4 + 1/75*n**6. Factor t(c).
2*(c - 1)**3*(c + 2)/5
Let h(i) be the first derivative of i**3/2 + 12. Solve h(y) = 0 for y.
0
Suppose 2*r - r = 0. Suppose 5*t - 8 - 12 = r. Suppose -2*u**3 + 5*u**4 - 6*u**t - u**4 = 0. What is u?
-1, 0
Suppose -2*o = k + 18, -4*k - 2*o = -o + 72. Let i be k/(-6) - 0/(-2). Factor u**i + 1 + 0*u**3 - 7*u + 6*u - u**2.
(u - 1)**2*(u + 1)
Let x(k) = -k**2 + 9*k - 13. Let u(w) = 9 + w - 3 + 2*w - 7*w. Let v(n) = 5*u(n) + 2*x(n). Let v(t) = 0. Calculate t.
-2, 1
Factor 19*r - 4 - 13*r - 3*r**2 + r**2.
-2*(r - 2)*(r - 1)
Let b(p) be the first derivative of 2*p**3/3 + 4*p**2 + 6*p - 8. Factor b(z).
2*(z + 1)*(z + 3)
Suppose 0 = 3*b + b - 8. Determine i so that -8*i**2 + 14*i**2 - i**5 - 6*i**b = 0.
0
Let g(v) be the first derivative of 1/15*v**5 + 1/2*v**4 + 4/3*v + 2 + 2*v**2 + 13/9*v**3. Solve g(d) = 0 for d.
-2, -1
Let l be -5 + 2*1/(-2). Let m = l - -10. Determine s so that -m*s**2 + s + 0*s - s**4 - s**3 + 5*s**2 = 0.
-1, 0, 1
Determine w so that -27*w**2 - 96 - 3*w**2 - 3*w**3 + 19*w - 115*w = 0.
-4, -2
Let v be (-1)/2*(-2 - 2)*1. Let 0 + 0*k**v + 0*k + 2/5*k**3 = 0. What is k?
0
Let h(q) be the third derivative of q**2 + 0 + 0*q - 1/30*q**5 - 2/3*q**3 + 1/4*q**4. What is z in h(z) = 0?
1, 2
Suppose -2*u + 1 = -7. Suppose 4 = -2*r - r - 4*t, -3*r = -4*t - u. Let 0*v + 1/2*v**3 - 1/2*v**4 + r + 0*v**2 = 0. What is v?
0, 1
Let a(i) be the second derivative of -1/20*i**5 - 1/10*i**6 + 0 + 1/3*i**3 + 0*i**2 - 1/42*i**7 + 1/4*i**4 - i. Factor a(w).
-w*(w - 1)*(w + 1)**2*(w + 2)
Let n(d) be the first derivative of d**4/12 - d**3 + 4*d**2 - 16*d/3 + 19. Factor n(r).
(r - 4)**2*(r - 1)/3
Let o(p) be the second derivative of -p**5/30 + p**4/6 - 2*p**3/9 - 14*p. Solve o(c) = 0.
0, 1, 2
Let o(a) be the second derivative of a**6/72 - a**5/30 - a**4/24 + a**3 - 5*a. Let k(d) be the second derivative of o(d). Factor k(g).
(g - 1)*(5*g + 1)
Let a be (316/20)/(3/(-5)). Let i = a + 27. Factor -2/3*v**2 + 2/3*v + i - 2/3*v**3.
-2*(v - 1)*(v + 1)**2/3
Let t(n) = n**3 + n**2 - n. Let k(f) = -f**3 - 2*f**2 + f. Suppose 5*y + 14 = 2*r, -12 = 4*r - 0. Let a(o) = y*t(o) - 2*k(o). Solve a(u) = 0 for u.
-1, 0, 1
Let j = 3 + -1. Let k be 4/(-1) - -10 - j. Factor 1/4*c**5 + 0 + 0*c**k - 3/4*c**3 - 1/2*c**2 + 0*c.
c**2*(c - 2)*(c + 1)**2/4
Let t be 6*(4 - (-68)/(-16)). Let c = t + 25/14. Determine p so that 2/7*p**3 + 0*p**2 + 0*p + 0 - c*p**4 = 0.
0, 1
Solve 9/2 + 11/2*o**2 - 1/2*o**3 - 19/2*o = 0 for o.
1, 9
Let m(v) be the second derivative of v**5/240 - v**4/96 + 5*v**2/2 - v. Let k(b) be the first derivative of m(b). Let k(o) = 0. Calculate o.
0, 1
Let m(h) = 0*h**3 - 7*h - h**3 + 4*h - 4 + 5*h**2. Let f be m(4). Factor f + 0*d - 1/3*d**5 + 0*d**2 - 1/3*d**3 - 2/3*d**4.
-d**3*(d + 1)**2/3
Suppose -5 + 3 + m**2 + 0*m**2 + m = 0. What is m?
-2, 1
Let j(p) be the first derivative of p**7/280 + p**6/160 - 3*p**2 + 3. Let y(w) be the second derivative of j(w). Factor y(m).
3*m**3*(m + 1)/4
Let r(x) = -2*x**4 - 8*x**3 + 2*x**2 + 2*x. Let s(b) be the second derivative of -b**5/20 + b. Let o = 12 + -13. Let p(q) = o*r(q) + 6*s(q). Factor p(f).
2*f*(f - 1)*(f + 1)**2
Let t(y) = 10*y - 197. Let p be t(20). Let v be ((-1)/(-2)*-2)/(-4). Factor -1/4*f**p + v*f - 1/4*f**2 + 1/4.
-(f - 1)*(f + 1)**2/4
Let f(l) be the third derivative of l**8/672 - l**6/120 + l**4/48 - 11*l**2. Factor f(w).
w*(w - 1)**2*(w + 1)**2/2
Let g(j) = -9*j**4 + 15*j**3 - 27*j**2 + 21*j. Let o(m) = m**4 - 1. Let t(c) = -g(c) - 6*o(c). Let t(z) = 0. What is z?
1, 2
Let l(u) = -u + 5. Let d be l(3). Suppose c + 5*s = -17, -c + d*s = -10 - 1. Suppose -3*w**4 + w**4 + 4*w**3 - 2*w**c = 0. Calculate w.
0, 1
Suppose 4*b = 2*b - 8, c - 16 = 2*b. Factor 4/3*a**2 + 12 + c*a.
4*(a + 3)**2/3
Let i(z) = z - 3. Let l = -3 + 11. Let v be i(l). Factor 4/9*c**3 - 2/9*c + 2/9 - 2/9*c**v + 2/9*c**4 - 4/9*c**2.
-2*(c - 1)**3*(c + 1)**2/9
Let t(v) = v**2 - 4*v - 9. Let z be t(6). Factor 1 + z*s**3 - 3 - 2*s**2 + 15*s + 8 + 14*s**2.
3*(s + 1)**2*(s + 2)
Factor -16*f**4 + 8*f**3 + f**5 + 2*f**2 + 20*f**4 - 3*f**3.
f**2*(f + 1)**2*(f + 2)
Let k(o) = -o**5 + o**2 - o + 1. Let t(u) = u**5 - 12*u**4 - 12*u**3 - 9*u**2 + 5*u - 5. Let f(i) = -5*k(i) - t(i). Factor f(j).
4*j**2*(j + 1)**3
Let n(x) be the third derivative of 0*x**4 + 0 - x**2 + 0*x + 0*x**3 + 1/150*x**5. Suppose n(g) = 0. Calculate g.
0
Let n(a) be the third derivative of 1/2*a**4 - 1/10*a**5 + 0 + 3*a**2 + 1/120*a**6 - 4/3*a**3 + 0*a. Suppose n(s) = 0. What is s?
2
Find q, given that -4/5*q**4 + 0*q**2 - 6/5 - 5*q + 3*q**3 = 0.
-1, -1/4, 2, 3
Let h(l) be the first derivative of -5*l**4/4 + 10*l**3/3 + 10*l**2 - 40*l - 5. Factor h(i).
-5*(i - 2)**2*(i + 2)
Let u(x) be the third derivative of -2*x**7/105 - x**6/6 - 2*x**5/5 + 2*x**4/3 + 16*x**3/3 - 4*x**2. Factor u(d).
-4*(d - 1)*(d + 2)**3
Suppose m - 15 = -m - 5*r, 0 = m - 4*r + 12. Determine c, given that -3*c + m*c**2 + 4*c**2 + 5*c**2 - 3*c**2 = 0.
0, 1/2
Let z = 683/720 + -17/18. Let d(a) be the third derivative of a**2 - 5/1344*a**8 + 0*a + z*a**6 - 1/280*a**7 + 0 + 0*a**3 + 0*a**4 + 0*a**5. Factor d(f).
-f**3*(f + 1)*(5*f - 2)/4
Let u be 200/(-120)*(-5)/(75/6). Factor g + 1/3*g**2 + u.
(g + 1)*(g + 2)/3
Factor 0*c**4 - 2*c**3 - c**2 + 7*c**3 + 5*c**4 - 5*c - 4*c**2.
5*c*(c - 1)*(c + 1)**2
Let a(c) = c**3 - c**2 + c. Let n(z) = 6*z**3 - 4*z**2 + 4*z - 1. Let s(b