Factor -12/7*v**2 + 36/7*v - 8/7 - 16/7*v**3.
-4*(v - 1)*(v + 2)*(4*v - 1)/7
Let p = -563/9 - -63. Let 2/9*l**5 - 2/9*l + 0 + 4/9*l**4 + 0*l**3 - p*l**2 = 0. Calculate l.
-1, 0, 1
Let h(j) be the third derivative of -j**6/180 + j**5/20 - j**4/6 + j**3/3 + j**2. Let t(g) be the first derivative of h(g). Determine l so that t(l) = 0.
1, 2
Let d(w) be the first derivative of 10/27*w**3 + 0*w - 2/9*w**2 + 3. Factor d(q).
2*q*(5*q - 2)/9
Let d(c) = -c + 1. Let p be d(2). Let g = p - -3. Factor z + z**3 - 2*z + g*z**2 + 2*z.
z*(z + 1)**2
Suppose 6*p = p + 20. Let x = p - 2. Let -b**x + 2*b + b**2 - 2*b**2 = 0. What is b?
0, 1
Suppose 2*i - 13 + 3 = 0. Suppose 0 + 8/3*f**4 + 2/3*f**i + 4*f**3 + 2/3*f + 8/3*f**2 = 0. What is f?
-1, 0
Let y(a) = -7*a**5 + 17*a**4 - 17*a**3 + 3*a**2 - 2. Let k(z) = 50*z**5 - 120*z**4 + 120*z**3 - 20*z**2 + 15. Let n(d) = -2*k(d) - 15*y(d). Factor n(r).
5*r**2*(r - 1)**3
Let f(w) be the first derivative of -w**4/6 - 2*w**3/9 + w**2/3 + 2*w/3 + 8. Factor f(g).
-2*(g - 1)*(g + 1)**2/3
Suppose 2*x - 36 = -2*x. Suppose 3 = -3*h + x. Suppose w**3 + w - w + w**h = 0. What is w?
-1, 0
Let d(x) be the third derivative of -x**6/240 + x**5/40 + x**4/48 - x**3/4 - 5*x**2. Determine h, given that d(h) = 0.
-1, 1, 3
Let r be (3 + -4)/(-1 + 2). Let u be r + (2 - 14/(-4)). Factor -1/2*j**2 - u + 3*j.
-(j - 3)**2/2
Let u be 2 + (9 - 675/63). Factor 2/7*c + 0 - u*c**2.
-2*c*(c - 1)/7
Suppose -m - 2*c - 61 = 0, -2*c + 94 = 5*m + 407. Let p be ((-4)/6)/(14/m). What is n in 8/7*n**2 + 2/7*n**p + 0 + 8/7*n = 0?
-2, 0
Determine f so that 5/4*f**3 + 0 - 5/2*f**2 + 5/4*f = 0.
0, 1
Let d = -112 + 112. Suppose 0*l + 0 + 1/6*l**3 + d*l**2 = 0. Calculate l.
0
Let d = 48 + -43. Let f = d - 2. Factor -1/5 + 4/5*h**f + 4/5*h - 1/5*h**4 - 6/5*h**2.
-(h - 1)**4/5
Suppose 0 = 4*j - 6 - 38. Let i = 13 - j. Factor -u + 2/3 + 1/3*u**i.
(u - 2)*(u - 1)/3
Let v be (-9)/(-75)*3*(-1)/(-3). Let s(u) be the first derivative of 3 + 3/20*u**4 + 0*u**2 + 0*u - 1/15*u**3 + 1/30*u**6 - v*u**5. Factor s(q).
q**2*(q - 1)**3/5
Let s(x) = x**2 - x + 1. Let o be 5*1 + 0 + -2. Let h(b) = 32*b + 27*b - 6*b**2 - 47*b - 9. Let i(l) = o*s(l) + h(l). Suppose i(z) = 0. What is z?
1, 2
Suppose 3*h + 4*h - 28 = 0. Let p(x) be the second derivative of 2/33*x**3 + 0 + 5/66*x**h + 3*x - 3/110*x**5 + 0*x**2. Suppose p(a) = 0. What is a?
-1/3, 0, 2
Let h(a) be the third derivative of a**8/131040 - a**7/10920 + a**6/2340 - a**5/30 + 9*a**2. Let b(p) be the third derivative of h(p). Factor b(i).
2*(i - 2)*(i - 1)/13
Let c(a) be the third derivative of -a**5/12 + 5*a**4/4 - 25*a**3/6 + 4*a**2. Factor c(s).
-5*(s - 5)*(s - 1)
Let u(o) = 3*o**2 - 3*o - 3. Let m(i) = -4*i**2 + 2*i + 2. Let t(f) = 5*m(f) + 6*u(f). Factor t(q).
-2*(q + 2)**2
Let v(g) be the third derivative of g**5/15 - g**4/3 - 13*g**2. Solve v(p) = 0 for p.
0, 2
Let a(f) be the third derivative of f**5/180 + f**4/72 - 6*f**2. Factor a(v).
v*(v + 1)/3
Factor 21*g**4 + 31*g**3 - g**4 - 2*g**3 - 5*g**3 + 4*g**2.
4*g**2*(g + 1)*(5*g + 1)
Let p = -20 + 12. Let b = -3 - p. What is u in 3*u**2 - 2*u**3 + u - b*u**2 + u**4 + u**3 + u**2 = 0?
-1, 0, 1
Let q(u) be the third derivative of u**8/224 + u**7/35 + 3*u**6/80 - u**5/10 - u**4/4 + 9*u**2. Suppose q(s) = 0. Calculate s.
-2, -1, 0, 1
Find a, given that 0 + 2/3*a**2 + 2*a = 0.
-3, 0
Let h(v) be the second derivative of -v**4/16 + v**3 - 6*v**2 - 3*v - 8. Factor h(o).
-3*(o - 4)**2/4
Let o(k) = 11*k**3 - 6*k + 5. Let h(g) = 6*g**3 - 3*g + 3. Let a(d) = 5*h(d) - 3*o(d). Let a(y) = 0. What is y?
-1, 0, 1
Factor -1/4*k**3 - 1/2 - k**2 - 5/4*k.
-(k + 1)**2*(k + 2)/4
Let r be (2/4)/(2/4). Suppose 14*g - 22 = 3*g. Factor -1/2*w**g + r - 1/2*w.
-(w - 1)*(w + 2)/2
Let -2/5 - 2/5*j**3 + 2/5*j**2 + 2/5*j = 0. What is j?
-1, 1
Let y(r) be the first derivative of r**4/2 + 2*r**3 + 3*r**2 + 2*r - 2. Determine z so that y(z) = 0.
-1
Suppose -4*j = 3*s + 4 - 13, 3*s = -j. Determine i, given that -i - i + 3*i**2 - 7*i**2 - 2*i**j + 0*i**3 = 0.
-1, 0
Let l(q) be the second derivative of q**6/6 - q**5/2 - 5*q**4/3 + 20*q**3/3 - 17*q. Let l(s) = 0. Calculate s.
-2, 0, 2
Let m be (-3)/((-36)/26) - (-39)/(-26). Factor 4/3 - 2/3*y - m*y**2.
-2*(y - 1)*(y + 2)/3
Let l(q) be the third derivative of -q**6/900 - q**5/225 + q**4/180 + 2*q**3/45 - 21*q**2. Factor l(t).
-2*(t - 1)*(t + 1)*(t + 2)/15
Let l(f) be the second derivative of f**4/78 + 4*f**3/39 + 4*f**2/13 - 21*f. Factor l(i).
2*(i + 2)**2/13
Let j be (-1)/((-2)/((-20)/(-2))). Let n be 8/64*(-4)/(-2). Factor v**4 + 0 - 1/4*v**j - 3/2*v**3 - n*v + v**2.
-v*(v - 1)**4/4
Factor 2/19*w - 4/19*w**2 - 2/19*w**5 + 0*w**3 + 0 + 4/19*w**4.
-2*w*(w - 1)**3*(w + 1)/19
Suppose 2*b = -0*b + 4. Let -j**3 + 2*j**b + j**5 + 0*j**3 - 2*j**3 = 0. Calculate j.
-2, 0, 1
Let g(b) be the third derivative of -b**2 + 0*b + 1/4*b**3 + 0 - 1/8*b**4 + 1/40*b**5. Factor g(o).
3*(o - 1)**2/2
Let h(o) be the third derivative of -o**5/15 - 7*o**4/6 - 20*o**3/3 + 20*o**2 - 1. Find r such that h(r) = 0.
-5, -2
Factor 10/7*b + 2/7*b**4 - 2/7*b**3 - 4/7 - 6/7*b**2.
2*(b - 1)**3*(b + 2)/7
Let l(w) be the first derivative of w**6/225 - w**5/300 - 4*w**3/3 + 1. Let j(i) be the third derivative of l(i). Factor j(t).
2*t*(4*t - 1)/5
Suppose 0*v + 4*v = -32. Let m be -2*4/176*v. Factor 0 - 10/11*t**2 + m*t - 14/11*t**3.
-2*t*(t + 1)*(7*t - 2)/11
Let s(j) be the third derivative of -j**7/12600 + j**6/3600 - j**4/8 - 2*j**2. Let b(d) be the second derivative of s(d). Find q, given that b(q) = 0.
0, 1
Let h(a) = -a**2 - 13*a. Let c be h(-13). Let g(k) be the first derivative of 1 + 1/21*k**6 + c*k - 4/21*k**3 - 1/7*k**2 + 0*k**4 + 4/35*k**5. Factor g(y).
2*y*(y - 1)*(y + 1)**3/7
Let q(w) = w**2. Let n(t) = -t**2 - 1. Suppose 2 = -p - 0*p. Let m(r) = p*q(r) - n(r). Factor m(f).
-(f - 1)*(f + 1)
Factor 28/3*a + 196/3 + 1/3*a**2.
(a + 14)**2/3
Let 4/3*g**3 + 0 + 2/3*g**2 + 2/3*g**4 + 0*g = 0. Calculate g.
-1, 0
Suppose -2*o + 5 = -1. Let h = 9 - o. Let h + 2/3*b**2 - 4*b = 0. What is b?
3
Suppose 0 = 4*z + 16 - 32. Let s(a) be the second derivative of 0 - 1/6*a**4 + 1/10*a**5 - z*a + 0*a**3 + 0*a**2. Factor s(m).
2*m**2*(m - 1)
Let y(a) = -a**3 - 4*a**2 + 2. Let s be y(-4). Suppose 0 = -w - 3*t - 4, -2*t + 4*t - 9 = -3*w. Factor 2 + 3*g**2 - w*g**s + 2*g - 2*g**3 + 0.
-2*(g - 1)*(g + 1)**2
Let x = 9/68 - -2/17. Factor -x*o**2 - 1/4*o + 0.
-o*(o + 1)/4
Let b(t) = -40*t**3 + 17*t**2 + 89*t + 25. Let k(r) = -20*r**3 + 8*r**2 + 44*r + 12. Let u(d) = 4*b(d) - 7*k(d). Factor u(m).
-4*(m - 2)*(m + 1)*(5*m + 2)
Let l(f) = -145*f**4 + 2375*f**3 - 6380*f**2 - 8155*f - 2170. Let p(h) = 16*h**4 - 264*h**3 + 709*h**2 + 906*h + 241. Let y(n) = -4*l(n) - 35*p(n). Factor y(t).
5*(t - 7)**2*(2*t + 1)**2
Factor 2/9*c**4 - 2/3*c**2 - 10/9*c + 2/9*c**3 - 4/9.
2*(c - 2)*(c + 1)**3/9
Factor 8*l**2 - 5*l**2 + 4 - 2 - 9*l + 4.
3*(l - 2)*(l - 1)
Factor -4/3*h**3 + 2*h - 2/3*h**5 - 2/3 - 4/3*h**2 + 2*h**4.
-2*(h - 1)**4*(h + 1)/3
What is u in -16/5*u - 8/5 + 4/5*u**3 - 6/5*u**2 + 2/5*u**4 = 0?
-2, -1, 2
Let m = 292 + -7007/24. Let p(s) be the first derivative of -2 - 3/8*s**4 + 1/5*s**5 + 0*s + 1/3*s**3 - 1/8*s**2 - m*s**6. Factor p(i).
-i*(i - 1)**4/4
Suppose g - 4 = 8. Suppose -g = -0*t - 3*t. Find k such that 2 - 2*k**t - 2*k + 2*k + 4*k**3 - 4*k = 0.
-1, 1
Factor -2/3*i**2 - 4/3*i - 2/3.
-2*(i + 1)**2/3
Let x(g) be the second derivative of -1/12*g**4 + 0 + 0*g**3 + g + 1/2*g**2. Let x(h) = 0. What is h?
-1, 1
Factor 4/3*q**5 - 4/3*q**2 - 4/3*q**3 + 4/3*q**4 + 0*q + 0.
4*q**2*(q - 1)*(q + 1)**2/3
Let s(b) be the second derivative of -b**6/18 - b**5/12 + 5*b**4/36 + 5*b**3/18 - 8*b. Factor s(r).
-5*r*(r - 1)*(r + 1)**2/3
Let h be 3*(30/9 - 4). Let x(j) = -16*j**2 - 11*j + 9. Let b(v) = 3*v**2 + 2*v - 2. Let g(y) = h*x(y) - 11*b(y). Find o, given that g(o) = 0.
-2, 2
Factor -v**3 + 1/2*v + 7/4*v**2 + 0.
-v*(v - 2)*(4*v + 1)/4
Let q = 91/246 + -3/82. Factor -2/3*x**2 + 2/3*x**4 + 1/3*x + 0 + 0*x**3 - q*x**5.
-x*(x - 1)**3*(x + 1)/3
Let u be -1 + (1 - 32/(-20)). Let k(l) be the first derivative of -u*l - 2/15*l**3 + 1 - 4/5*l**2. Find f such that k(f) = 0.
-2
Let j(q) be the third derivative of q**5/30 - q**4/3 + 4*q**3/3 + 9*q**2. Determine u so that j(u) = 0.
2
Let y = -20 + 5. Let o be y/(-5)*2/15. Factor 0*c - 2/