t v(m) = 0.
0, 1/5
Suppose -6 = 6*o - 4*o. Let z be 24/10*o/(-4). Factor 4/5 + z*p**2 - 12/5*p.
(3*p - 2)**2/5
Let w(n) = n**2 + 4*n - 178. Let h be w(0). Let c = -886/5 - h. Find f, given that -c*f - 2/5*f**2 + 0 = 0.
-2, 0
Determine f, given that -2/9 - 1/9*f**2 + 1/3*f = 0.
1, 2
Suppose -1/3*k**2 + 0 - 1/6*k**3 + 1/2*k = 0. What is k?
-3, 0, 1
Suppose -2*c - 40 = -7*c. Factor -8*f**2 - 7*f + c*f + 9*f - 2.
-2*(f - 1)*(4*f - 1)
Solve 25/2 + 1/2*a**2 + 5*a = 0.
-5
Let h(g) = 7*g - 18. Let u be h(3). Factor -1/2*v**u + 0*v - 1/4*v**4 + 0*v**2 + 0.
-v**3*(v + 2)/4
Let w(o) be the second derivative of o**5/80 - o**4/8 + 3*o**3/8 - o**2/2 - 21*o. Factor w(s).
(s - 4)*(s - 1)**2/4
Suppose 25 = -l + 25. Let x(s) be the first derivative of 0*s**2 + l*s - 1/30*s**5 - 1/18*s**3 - 1/12*s**4 - 1. Let x(t) = 0. What is t?
-1, 0
Let n = 12 - 0. Let s be (-2)/(14/(-6) - -3). Let y(g) = 2*g**2 - g - 5. Let r(x) = -1. Let b(k) = n*r(k) + s*y(k). Factor b(v).
-3*(v - 1)*(2*v + 1)
Let z(q) be the first derivative of -q**5 - 25*q**4/4 - 5*q**3 + 25*q**2/2 + 20*q + 21. Factor z(p).
-5*(p - 1)*(p + 1)**2*(p + 4)
Let t(x) be the third derivative of -x**7/5040 - x**4/6 - 2*x**2. Let r(n) be the second derivative of t(n). Let r(i) = 0. What is i?
0
Suppose 4*v - 15 + 3 = 0. Let t be (-3)/(v*(-4)/8). Solve 0 - o + 5/2*o**t = 0 for o.
0, 2/5
Let s be (-41)/(-4) - 2/8. Let q = 13 - s. Solve -2/3*m**4 + 0*m + 2/3*m**q + 0 - 2/9*m**2 + 2/9*m**5 = 0 for m.
0, 1
Let k(i) be the first derivative of 0*i**2 + 1/6*i**3 - 1/2*i - 3. Determine d, given that k(d) = 0.
-1, 1
Suppose 0 + 0*z + 1/6*z**3 + 1/6*z**2 = 0. Calculate z.
-1, 0
Let h(w) be the first derivative of -5*w**4/2 + 4*w**3/3 - 19. Let h(k) = 0. What is k?
0, 2/5
Let j be -2*1 - 120/(-54). Let o be (5/(5/2))/1. Factor 2/9*z**3 + 0 - 2/9*z + j*z**o - 2/9*z**4.
-2*z*(z - 1)**2*(z + 1)/9
Let b(y) be the first derivative of -2*y**4 + 4*y**3 + 0*y**2 - 4/5*y**5 + 0*y + 6. Factor b(s).
-4*s**2*(s - 1)*(s + 3)
Let q = -7/20 - -31/60. Let l = 4 + 1. Suppose 0 + q*c**4 - 1/6*c**l + 0*c + 0*c**2 + 0*c**3 = 0. What is c?
0, 1
Let v(w) be the first derivative of w**3/4 + 3*w**2/2 + 3*w - 12. Factor v(f).
3*(f + 2)**2/4
Let j = -138/7 + 1256/63. Find n, given that -j*n**5 - 2/3*n**3 + 2/9*n**2 + 0*n + 2/3*n**4 + 0 = 0.
0, 1
Let t(z) = 2*z**2 - 15*z - 15. Let n be t(-1). Determine q so that 1/2*q**n + 1/2*q + 0 = 0.
-1, 0
Let r be ((-1)/(-3))/((-4)/(-96)). Let l = -6 + r. Let 4/9 + 2/9*x**3 - 2/3*x + 0*x**l = 0. What is x?
-2, 1
Let z(c) = 3*c**4 - 4*c**3 - 6*c**2 + 3. Let o(y) be the first derivative of y**5/5 + y**2/2 + y + 4. Let q = -3 - -7. Let u(i) = q*o(i) - z(i). Factor u(b).
(b + 1)**4
Let -87*k**2 + 0*k - 4*k + 77*k**2 = 0. What is k?
-2/5, 0
Let f(j) be the first derivative of -81*j**5 - 1035*j**4/4 + 520*j**3/3 - 30*j**2 + 63. Factor f(x).
-5*x*(x + 3)*(9*x - 2)**2
Let x(b) = 3*b**3 + 103*b**2 - 135*b + 29. Let z(w) = -2*w**3 - 52*w**2 + 68*w - 14. Let o(f) = 6*x(f) + 11*z(f). Determine y, given that o(y) = 0.
1/2, 1, 10
Suppose 0 = 3*f - m - 20, 0 = -3*f - f - 4*m. Let w(x) be the third derivative of 1/96*x**4 + 0 + 0*x + 2*x**2 + 0*x**3 - 1/240*x**f. Solve w(n) = 0.
0, 1
Let z = 10 - 7. Factor p**4 - 2*p**3 + z - 4 + 0 + 2*p.
(p - 1)**3*(p + 1)
Let s be (2/(-6))/((-2)/4). Let m be (-5)/6*(-16)/40. Factor -1/3 - m*k**2 + s*k.
-(k - 1)**2/3
Suppose -3*i - 4 - 5 = 0. Let z(b) = b**2 + 3*b + 2. Let a be z(i). Factor 74*y**3 + 60*y**4 + 14*y**5 + 35*y**2 + 4*y**5 + 5*y**a + 8*y.
2*y*(y + 1)**2*(3*y + 2)**2
Suppose 14 = 7*c - 14. Let k(j) be the second derivative of -j**3 + 1/6*j**c - 2*j + 0 + 2*j**2. Determine b, given that k(b) = 0.
1, 2
Let q be (66/110)/((-21)/(-10)). Factor -2/7*c + 0 - q*c**2.
-2*c*(c + 1)/7
Let o(h) be the third derivative of h**8/5040 - h**7/630 + h**5/12 - 2*h**2. Let d(y) be the third derivative of o(y). Find r, given that d(r) = 0.
0, 2
Let j(w) = 0 + 4*w - 6*w**2 + w**3 + 3*w + 0*w**2 - 6. Let a be j(5). Factor 0 + 1/2*v**a + 1/2*v + 3/2*v**2 + 3/2*v**3.
v*(v + 1)**3/2
Let b(k) be the second derivative of -7*k**6/90 - 3*k**5/20 + 10*k**4/9 + 2*k**3/3 + 12*k. Factor b(y).
-y*(y - 2)*(y + 3)*(7*y + 2)/3
Let q = 9 + -3. Let s(a) = a - 6*a - 2*a - 7*a**2 - 1 - a. Let m(n) = 6*n**2 + 7*n + 1. Let g(b) = q*m(b) + 5*s(b). Factor g(c).
(c + 1)**2
Let p = -19 - -19. Suppose -4*a + 3*a + 5 = p. Factor 1/4*c**a - c**4 + 3/2*c**3 - c**2 + 1/4*c + 0.
c*(c - 1)**4/4
Let i(o) be the third derivative of -1/300*o**6 + 0 + 0*o + 0*o**5 + 0*o**3 + 1/60*o**4 + 4*o**2. Find j, given that i(j) = 0.
-1, 0, 1
Let p(n) be the second derivative of n**6/135 + 7*n**5/90 + 17*n**4/54 + 17*n**3/27 + 2*n**2/3 - 11*n. Factor p(z).
2*(z + 1)**2*(z + 2)*(z + 3)/9
Let r(t) be the second derivative of 0*t**2 - t + 0 + 1/3*t**4 - 1/10*t**5 - 1/3*t**3. Factor r(s).
-2*s*(s - 1)**2
Let k(w) be the third derivative of -4*w**2 + 0*w**3 + 0*w**4 + 0*w + 0 + 1/60*w**5 + 1/60*w**6 + 1/210*w**7. Factor k(o).
o**2*(o + 1)**2
Let w be -1 + (11/(-1) - 0). Let x be ((-3)/w)/((-3)/(-6)). Suppose x*r**2 - 1/2 + 0*r = 0. Calculate r.
-1, 1
Let d be (-22)/(-44) + (-2)/4. Factor 1/4 - 1/4*n**2 + d*n.
-(n - 1)*(n + 1)/4
Let v = -14 - -9. Let w = 5 + v. Factor w - 2*t**2 + 1/2*t + 2*t**3.
t*(2*t - 1)**2/2
Let r(c) be the first derivative of c**4/24 - c**3/18 - c**2/12 + c/6 - 4. Let r(d) = 0. Calculate d.
-1, 1
Let h(m) be the third derivative of m**8/112 + m**7/35 - m**5/10 - m**4/8 - 11*m**2. Solve h(n) = 0.
-1, 0, 1
Suppose 2*d - 20 = -2*d. Let r = 0 + d. Find j, given that j**3 + 14*j - 2*j**4 - 14*j + j**r = 0.
0, 1
Let t(v) = -v**4 - 8*v**3 + 3*v**2 + 2*v - 4. Let b(f) = f**4 + 6*f**3 - 3*f**2 - 2*f + 3. Let x(i) = -4*b(i) - 3*t(i). What is p in x(p) = 0?
-1, 0, 2
Suppose -5*s + 7 = -13. Let l(t) be the second derivative of 1/6*t**3 - t + 0*t**2 - 1/12*t**s + 0. Factor l(m).
-m*(m - 1)
Let f(i) be the third derivative of 1/80*i**5 + 0*i + 0 - 1/32*i**4 + 0*i**3 - 4*i**2. Solve f(s) = 0.
0, 1
Factor 0*k**3 - 1/3*k**2 + 1/3*k**4 + 0*k + 0.
k**2*(k - 1)*(k + 1)/3
Let g(c) = -c**4 - 61*c**3 - 199*c**2 - 241*c - 69. Let w(m) = -12*m**3 - 40*m**2 - 48*m - 14. Let b(f) = 4*g(f) - 22*w(f). Let b(n) = 0. What is n?
-1, 8
Let m(t) be the second derivative of t**6/180 + t**5/180 - t**3/2 + 3*t. Let j(q) be the second derivative of m(q). Factor j(g).
2*g*(3*g + 1)/3
Let t(x) be the third derivative of x**5/60 + x**4/8 + 6*x**2. Factor t(b).
b*(b + 3)
Let j be 2*(-9)/24*-4. Let p(x) be the first derivative of 1/8*x**2 - 1/3*x**j + 1 - 1/5*x**5 + 0*x + 1/24*x**6 + 3/8*x**4. Factor p(d).
d*(d - 1)**4/4
Let h(b) be the first derivative of -b**3/2 - 3*b**2/2 - 3*b/2 - 7. Factor h(a).
-3*(a + 1)**2/2
Let o(x) = -x**2 - 17*x - 14. Let k be o(-16). Let v(z) be the first derivative of 5/2*z**3 + 3 + 3/2*z**k + 0*z. Factor v(f).
3*f*(5*f + 2)/2
Suppose 4*z + 22 = 5*n, 3*n - 21 = -7*z + 12*z. Solve 0 + 2/13*y**n - 2/13*y = 0.
0, 1
Let n(s) = 100*s**3 - 86*s**2 + 18*s. Let o(v) = 401*v**3 - 345*v**2 + 72*v. Let p(u) = 9*n(u) - 2*o(u). Suppose p(a) = 0. Calculate a.
0, 3/7
Let k = -29 - -31. Let y(u) be the first derivative of k + u**5 + 0*u - u**4 + 1/3*u**3 + 0*u**2 - 1/3*u**6. Factor y(a).
-a**2*(a - 1)**2*(2*a - 1)
Let p(a) be the second derivative of -a**7/210 - 2*a**6/75 - 3*a**5/50 - a**4/15 - a**3/30 - 5*a. Factor p(m).
-m*(m + 1)**4/5
Let f(x) be the second derivative of x**7/21 - x**6/15 - x**5/10 + x**4/6 + 4*x. Solve f(u) = 0 for u.
-1, 0, 1
Let r(w) be the second derivative of -w**7/168 - 17*w**6/120 - 47*w**5/40 - 95*w**4/24 - 161*w**3/24 - 49*w**2/8 + 9*w + 2. Factor r(s).
-(s + 1)**3*(s + 7)**2/4
Suppose x - 5*j - 8 = -5, -4*j = 0. Solve -10/7*p - 6/7*p**x - 2/7 - 2*p**2 = 0 for p.
-1, -1/3
Let t(q) be the second derivative of -q**7/3780 + q**6/540 - q**5/270 - q**3/3 + 3*q. Let c(w) be the second derivative of t(w). Factor c(p).
-2*p*(p - 2)*(p - 1)/9
Let q = 137/3 + -271/6. Factor 0 + q*w + 0*w**2 - 1/2*w**3.
-w*(w - 1)*(w + 1)/2
Let m be ((-3)/(-1))/((-3)/(-9)). Let a be (-6)/m*(-12)/16. Factor 0*d**2 + 1/2*d**3 + 0 + a*d**5 + 0*d + d**4.
d**3*(d + 1)**2/2
Let r(v) = v**2 + 4*v - 1. Suppose 3*u + 12 = -3. Let k be r(u). Factor -c - 5/2*c**2 - 3/2*c**3 + 1/2*c**5 + 1/2*c**k + 0.
c*(c - 2)*(c + 1)**3/2
Let c be 4*-1*(-4)/8. Solve 1/2*v**c - 1/