, v - 2*x - 10 = 0. Determine t so that 2/3*t**2 + 0 + v*t = 0.
0
Suppose -4*d = -2*t - 14, 0*t = -3*d - 4*t + 5. Suppose 18*g**5 + 0 + 8/9*g - 88/9*g**2 - 44*g**4 + 314/9*g**d = 0. Calculate g.
0, 2/9, 1
Let y(m) = 2*m. Let j be y(3). Let k = j - 4. Solve -2*b**4 + 2*b**2 - 3*b**2 + 4*b**3 - b**k = 0 for b.
0, 1
Let s(i) = -i**4 + i - 1. Let l(x) = -20*x**4 + 15*x**3 + 5*x**2 + 10*x - 35. Let t(d) = l(d) - 25*s(d). Factor t(g).
5*(g - 1)*(g + 1)**2*(g + 2)
Let y = 10 - 10. Let x = 3 + y. Solve 1/2 + 0*z**x + 0*z + 1/2*z**4 - z**2 = 0.
-1, 1
Let v be (18/(-30))/(1/(-5)). Let q(l) be the first derivative of 0*l**2 - 4/3*l**v + 0*l**4 + 2/5*l**5 + 2*l + 1. Factor q(u).
2*(u - 1)**2*(u + 1)**2
Let o = 2 - 0. Suppose -4*p = -5*a - 4 - 8, -3*p - 3*a = -9. Factor l**p + 2*l - l - o*l.
l*(l - 1)*(l + 1)
Let y(w) = -w**2 + 2*w + 1. Let p = 12 - 2. Let i(o) = 2*o**2 - 5*o - 2. Suppose d - 29 = -4*a - 5, 4*a - 20 = 0. Let j(v) = d*i(v) + p*y(v). Factor j(r).
-2*(r - 1)*(r + 1)
Suppose 2*d - 7*d = 30. Let j = d - -8. What is v in -3 + 3 - 2*v**j + 2*v = 0?
0, 1
Determine s so that -4/3*s**2 + 0 - 10/3*s**3 + 0*s - 2*s**4 = 0.
-1, -2/3, 0
Let q(x) = x**2 - 2*x + 2. Let k be q(2). Solve 0*p - k - p**3 - 4*p**2 + 5*p + 2*p**3 = 0 for p.
1, 2
Let w be (0 - -2)*(-1)/(-2). Let h(c) be the first derivative of -2/21*c**3 - 3/7*c**2 + w - 4/7*c. Determine s, given that h(s) = 0.
-2, -1
Let x(s) be the first derivative of -2/3*s**3 - 2*s**2 - 2*s + 2. Find l, given that x(l) = 0.
-1
Let d(l) be the third derivative of l**8/1176 + l**7/245 + l**6/420 - l**5/70 - l**4/42 + 14*l**2. Determine r, given that d(r) = 0.
-2, -1, 0, 1
Let g = 15 - 10. Suppose -g*p = -12 + 2. Factor -2/3*z**p - 1/3 - z + 2/3*z**3 + z**4 + 1/3*z**5.
(z - 1)*(z + 1)**4/3
Let d(j) = -6*j**2 - 15*j - 12. Let m(h) = -h**2 - h. Let q(a) = d(a) - 3*m(a). Solve q(s) = 0 for s.
-2
Let m(u) = u. Let j(t) = t**2 - t. Let g(p) = -3*j(p) - 3*m(p). Factor g(i).
-3*i**2
Suppose -u - 6 = u. Let r be u/(-3) + -1 + 0. Determine o so that -1/3*o**2 + r*o + 1/3 = 0.
-1, 1
Let y(w) = 8*w**3 - 20*w - 12. Let u(j) = -j**3 + j. Let t(l) = -12*u(l) - 2*y(l). Suppose t(g) = 0. What is g?
-2, -1, 3
Let z = -28126601/9105705 + 2/202349. Let f = -26/9 - z. Factor 0*r**2 - 2/5*r**3 + 2/5*r + 1/5 - f*r**4.
-(r - 1)*(r + 1)**3/5
Let a(o) be the second derivative of o**6/180 - o**5/20 + o**3 + 2*o. Let m(n) be the second derivative of a(n). Factor m(q).
2*q*(q - 3)
Let b(f) be the first derivative of 1/2*f**2 + 2 - 1/3*f**3 + 0*f. Factor b(m).
-m*(m - 1)
Let f(p) be the third derivative of p**6/24 + p**5/3 + 5*p**4/6 + 2*p**2 + 2. Factor f(k).
5*k*(k + 2)**2
Let p(w) = 6*w**3 + 10*w**2 + 20*w + 16. Let c(j) = j**3 + 2*j**2 + 4*j + 3. Let l(n) = -16*c(n) + 3*p(n). What is r in l(r) = 0?
-1, 0, 2
Suppose -2*a = -5*g + 22, 4*a - 6 = 10. Factor -7*i**3 + 5*i**4 - i**4 + 3*i**2 + i**3 + g*i - 7*i**4.
-3*i*(i - 1)*(i + 1)*(i + 2)
Let i = -7/18 + 19/18. Factor -i*r**4 + 0*r + 0*r**3 - 2/3 + 4/3*r**2.
-2*(r - 1)**2*(r + 1)**2/3
Let p be 2/1 + (0 - -3). Suppose 5*l + 4*c + p = 0, -7*l + 2*c = -2*l - 25. Factor -23*w**2 + 26*w**2 - l*w - 4*w**4 + 3*w**3 + w**4.
-3*w*(w - 1)**2*(w + 1)
Let s(n) be the second derivative of -n**6/30 + n**5/4 - 2*n**4/3 + 2*n**3/3 - 30*n. Factor s(v).
-v*(v - 2)**2*(v - 1)
Let q(k) be the third derivative of k**6/240 + k**5/60 + k**4/48 + 19*k**2. Solve q(w) = 0.
-1, 0
Let q(i) be the third derivative of -i**5/20 + i**4/24 + i**3/3 + 3*i**2. What is l in q(l) = 0?
-2/3, 1
Let i(t) be the first derivative of -t**3/9 - t**2/6 + 1. Factor i(g).
-g*(g + 1)/3
Suppose 6 = 3*v - p - 9, 5*v + 3*p = 25. Solve 3*u + 3 - v*u**2 + 2*u**2 - 3*u = 0.
-1, 1
Let l(g) be the second derivative of g**2 - 1/4*g**5 - 3/4*g**4 + 9*g + 0 + 7/30*g**6 + 5/6*g**3. Factor l(x).
(x - 1)**2*(x + 1)*(7*x + 2)
Let n(f) be the second derivative of 0 - 3/10*f**5 + 0*f**3 - 2*f + 1/10*f**6 + 0*f**2 + 1/4*f**4. Factor n(o).
3*o**2*(o - 1)**2
Factor 36*v - 11 - 7 - 3*v - 12*v**2.
-3*(v - 2)*(4*v - 3)
Let r be ((-5)/(-135))/((-30)/922). Let k = 5/81 - r. What is b in -k*b**2 + 0 - 2/5*b**4 + 6/5*b**3 + 2/5*b = 0?
0, 1
Let q(h) be the second derivative of -5*h**4/8 - 73*h**3/4 + 45*h**2/2 - 30*h. Factor q(n).
-3*(n + 15)*(5*n - 2)/2
Let l be 0*(15/6 + -2). Solve -2*t**2 + 5*t**2 + l*t**2 = 0 for t.
0
Let r = -934 + 939. Solve 0*h + 1/5*h**3 + 0*h**2 + 2/5*h**4 + 0 + 1/5*h**r = 0.
-1, 0
Let z(v) be the second derivative of v**6/2160 - v**3/2 + 4*v. Let u(q) be the second derivative of z(q). Solve u(w) = 0 for w.
0
Let o be (1/1)/((-4)/(-20)). Let x be 8/10*o/14. Find r such that -4/7*r**5 + 0*r**2 + x*r**3 + 0 + 0*r + 2/7*r**4 = 0.
-1/2, 0, 1
Factor 54/7 + 2/21*t**2 + 12/7*t.
2*(t + 9)**2/21
Let 4*g + 8*g**2 + 1094 + 4*g**3 - 1094 = 0. Calculate g.
-1, 0
Factor 11*y**2 + 9*y**2 + 7*y**2 + 9 + 36*y + 3.
3*(3*y + 2)**2
Suppose -4*s + 18 = w, 9 = s - 5*w - 6. Suppose s*n = -0*n. Solve -q**3 + 2 + n*q**2 - q**2 - 1 + q + 0 = 0.
-1, 1
Factor -4/7*h**4 + 0 + 8/7*h**2 - 6/7*h**3 + 2/7*h**5 + 8/7*h.
2*h*(h - 2)**2*(h + 1)**2/7
Let p = -10 + 5. Let d = -2 - p. Factor d*c**4 - 2*c**2 - c**4 + 0*c**2.
2*c**2*(c - 1)*(c + 1)
Let f(k) be the third derivative of -k**7/42 - k**6/24 + 5*k**5/12 - 5*k**4/8 + 17*k**2. Let f(u) = 0. What is u?
-3, 0, 1
Let v(w) be the second derivative of w**4/12 + 5*w**3/6 + w**2/2 + 2*w. Let f be v(-5). Find g, given that -3*g**2 + 3 - g**3 - f - 3*g - 3 = 0.
-1
Suppose g - 9 - 6 = -3*h, -2*g = -h - 2. Solve 107*p**2 - 109*p**2 + g*p**3 - 5*p**3 = 0 for p.
-1, 0
Let b(f) = -f**3 - 4*f**2 - 9*f + 4. Let n(g) = 2*g**3 + 12*g**2 + 26*g - 12. Let z(v) = 14*b(v) + 5*n(v). Factor z(y).
-4*(y - 1)**2*(y + 1)
Let p be (2*6/32*4)/3. Factor 1/2*a - 1 + p*a**2.
(a - 1)*(a + 2)/2
Let b be -1 + -2 - 95/(-30). Let i(n) be the second derivative of 0 + b*n**3 + 1/3*n**4 - n**2 - 3/20*n**5 + 2*n. Find w, given that i(w) = 0.
-2/3, 1
Let l be ((-9)/6)/(9/(-12)). Let c = 0 + l. Factor -4 + 2 + g**c + 0 + g**2.
2*(g - 1)*(g + 1)
Factor 2*y**4 - 2*y**5 + 4*y**5 - 6*y**5 + 2*y**5 + 2*y**3 - 2*y**2.
-2*y**2*(y - 1)**2*(y + 1)
Let t(r) be the first derivative of -4*r**5/5 - 3*r**4 - 4*r**3/3 + 6*r**2 + 8*r + 14. Factor t(q).
-4*(q - 1)*(q + 1)**2*(q + 2)
Let b(c) be the first derivative of 3*c**4/4 - 3*c**2/2 + 8. Factor b(q).
3*q*(q - 1)*(q + 1)
Let s = 377 - 375. Factor -10/3*z**4 + 0*z + 2/3*z**3 + 0 + 2/3*z**2 + s*z**5.
2*z**2*(z - 1)**2*(3*z + 1)/3
Let x(d) be the first derivative of -2*d**6/3 + 4*d**5/5 + 2*d**4 - 8*d**3/3 - 2*d**2 + 4*d - 6. What is w in x(w) = 0?
-1, 1
Let c(b) be the third derivative of 0*b + 0*b**3 + 0*b**4 + 3*b**2 - 1/270*b**5 + 0. Factor c(h).
-2*h**2/9
Let h(r) = -3*r**3 - 12*r**2 - 9*r + 3. Let p(l) = -3*l**3 - 12*l**2 - 8*l + 4. Let o(n) = 4*h(n) - 3*p(n). Factor o(t).
-3*t*(t + 2)**2
Let f(u) be the first derivative of 11/4*u**4 - 11/3*u**3 - 3/5*u**5 + 1/2*u**2 - 4 + 2*u. What is s in f(s) = 0?
-1/3, 1, 2
Let x be ((-46)/(-28))/((-14)/2457). Let g = 1183/4 + x. Solve -2*i**5 + 2/7*i - 32/7*i**2 - 68/7*i**3 - g*i**4 + 4/7 = 0 for i.
-1, 2/7
Suppose 6*f - 16 = 8. Let 8*b + 4*b**4 - 8*b**f + b**4 + 7*b**4 - 8*b**3 - 4 = 0. Calculate b.
-1, 1
Let g be 6/4*(-26)/(-65). Factor 3/5*c**3 - 3/5*c**2 + g*c**4 - 3/5*c + 0.
3*c*(c - 1)*(c + 1)**2/5
Suppose -3*s + 15 = 2*s. Let r be 2/(-4) + 1 + 0. Determine h, given that -3/2*h**s + r*h**2 + 0*h + 0 = 0.
0, 1/3
Factor 2*m**2 + m**2 - m**2 - 9 - 17 + 24*m.
2*(m - 1)*(m + 13)
Let m be ((-8)/4)/(4/(-6)). Let y be 1 - (3 - 2)/m. Factor -1/3*h**3 + y*h - 1/3*h**2 + 0.
-h*(h - 1)*(h + 2)/3
Suppose 0 = 5*h - 9*h. Let o(m) be the third derivative of h*m**3 - 1/60*m**6 - 1/30*m**5 + 0*m + 0 - m**2 + 0*m**4. Determine z so that o(z) = 0.
-1, 0
Factor 0 + 0*f - 4/5*f**2 + 2/5*f**3.
2*f**2*(f - 2)/5
Suppose 0 = -2*c + 4*c. Let n be c + 1/1 + 3. Factor 0 - 2/3*s**n + 8/3*s**3 + 0*s - 8/3*s**2.
-2*s**2*(s - 2)**2/3
Let u(i) = -i - 1. Let v = -2 + 5. Let q(y) = 2 - 2*y**2 + y - v - 3*y - y**3. Let t(s) = -q(s) + u(s). Factor t(z).
z*(z + 1)**2
Factor -8/9 + 16/9*p**4 - 20/9*p + 4/9*p**5 + 16/9*p**3 - 8/9*p**2.
4*(p - 1)*(p + 1)**3*(p + 2)/9
Let b(m) be the third derivative of -m**8/840 + m**6/90 - m**4/12 + 2*m**3/3 - 3*m**2. Let t(c) be the first derivative of b(c). Find v, given that