 x.
0, 3
Let j be 2 + 0 + (-12)/(-15). Find z, given that 0 - j*z**3 + 14/5*z**4 + 4/5*z**2 - 4/5*z**5 + 0*z = 0.
0, 1/2, 1, 2
Find o, given that -22*o**2 - 1/2 + 63/4*o**3 + 27/4*o = 0.
1/9, 2/7, 1
Let s(g) = -g**2 + 5*g + 3. Let q be s(5). Factor -c**2 - c**q + c - 68 + 69 + 0*c**2.
-(c - 1)*(c + 1)**2
Let n(r) = 6*r**4 - 3*r**3 - 15*r**2 - 13*r. Let l(v) = -2*v**4 + v**3 + 5*v**2 + 4*v. Suppose 21 + 0 = 3*c. Let w(f) = c*l(f) + 2*n(f). Factor w(x).
-x*(x - 2)*(x + 1)*(2*x + 1)
Let j(f) = -6*f**2 - 2*f. Suppose -10 = 4*h - 3*h. Let b be (1 + 1)*(-25)/h. Let a(d) = -7*d**2 - 2*d. Let u(g) = b*j(g) - 4*a(g). Find k such that u(k) = 0.
-1, 0
Suppose -j = -6*j + 15. Factor 0 + j + 4*a + 2*a**2 - 1 + 0*a.
2*(a + 1)**2
Let f(x) be the third derivative of -x**5/180 - 7*x**4/36 + 5*x**3/6 - 28*x**2. Find j such that f(j) = 0.
-15, 1
Let d = 6 - 4. Determine s so that -2*s**2 - d*s**2 - 9*s**3 + 4*s**2 - 6*s**2 - 3*s**4 = 0.
-2, -1, 0
Let a(u) be the first derivative of -4/3*u**3 - 1/4*u**4 - 5/2*u**2 - 2*u - 3. Find q such that a(q) = 0.
-2, -1
Let 22706*d**4 - 8 - 12*d + 16*d**3 + 8*d**2 - 22706*d**4 - 4*d**5 = 0. Calculate d.
-1, 1, 2
Let t = 90 - 88. Factor -18/7*k**t + 4/7*k + 0.
-2*k*(9*k - 2)/7
Let s(v) = -2*v**2 + 5*v. Let n(k) = 5*k**2 - 15*k. Let l(h) = -3*n(h) - 8*s(h). Let u(a) = -2*a**2 - 14*a. Let t(x) = -8*l(x) - 3*u(x). Factor t(y).
-2*y*(y - 1)
Let d be (4/56 + 0)/(11/198). Find c, given that d*c - 6/7 - 3/7*c**2 = 0.
1, 2
Let s(i) be the first derivative of 2*i**3/3 - 2*i - 19. Factor s(v).
2*(v - 1)*(v + 1)
Let a(m) be the third derivative of 2/3*m**3 + 0*m**5 - 1/15*m**6 + 7*m**2 + 1/3*m**4 - 2/105*m**7 + 0*m + 0. Factor a(y).
-4*(y - 1)*(y + 1)**3
Let h(j) be the third derivative of j**6/280 - j**5/35 + j**4/14 - 7*j**2. Suppose h(q) = 0. What is q?
0, 2
Let r be (-4)/22 + ((-44982)/1001)/(-17). Factor -2/13*o**2 + 16/13*o - r.
-2*(o - 4)**2/13
Let z(v) be the second derivative of -3*v + 0*v**2 - 5/18*v**4 - 4/45*v**6 - 4/15*v**5 - 1/9*v**3 + 0. Find t, given that z(t) = 0.
-1, -1/2, 0
Factor 4/5*v + 1/5*v**2 + 3/5.
(v + 1)*(v + 3)/5
Let u be 1*-2 + (-12)/12*-4. Solve 1/2*b**2 + 2*b + u = 0.
-2
Let v(o) be the second derivative of -169*o**7/84 + 559*o**6/60 - 4*o**5 - 83*o**4/3 + 52*o**3/3 - 4*o**2 + 35*o. Let v(r) = 0. What is r?
-1, 2/13, 2
Let q(n) be the first derivative of n**6/12 + n**5/10 - n**4/8 - n**3/6 + 4. Factor q(u).
u**2*(u - 1)*(u + 1)**2/2
Let u(y) be the first derivative of -y**4/42 - y**3/21 + 2*y**2/7 - 3*y - 2. Let f(p) be the first derivative of u(p). Solve f(o) = 0 for o.
-2, 1
Let c(d) be the third derivative of d**6/660 + d**5/330 - 5*d**4/132 + d**3/11 - 13*d**2. Factor c(g).
2*(g - 1)**2*(g + 3)/11
Let s be (-1)/4*(21/(-9) - -2). Let x(k) be the second derivative of s*k**4 + 1/6*k**3 - 2*k + 0 + 0*k**2. Factor x(o).
o*(o + 1)
Let q(u) = -4*u**2 - 5*u - 5. Let z(b) = 3*b**2 + 4*b + 4. Suppose 4*m - m - 12 = 0. Let f(g) = m*q(g) + 5*z(g). Determine h, given that f(h) = 0.
0
Factor -21/5*h + 0 - 3/5*h**3 - 24/5*h**2.
-3*h*(h + 1)*(h + 7)/5
Let p(m) = -10*m + 10. Let x(k) be the third derivative of -k**5/60 + k**3/6 + 5*k**2. Let c(l) = 2*p(l) - 28*x(l). Factor c(t).
4*(t - 1)*(7*t + 2)
Let j(y) be the third derivative of -y**5/90 + y**3/9 + 5*y**2. Factor j(z).
-2*(z - 1)*(z + 1)/3
Let z = -48 - -51. Let f(l) be the second derivative of 1/2*l**7 - 3/4*l**5 - 9/10*l**6 + 9/4*l**4 - l**z - 4*l + 0 + 0*l**2. Find k such that f(k) = 0.
-1, 0, 2/7, 1
Let n(q) be the first derivative of 2*q**5/5 + 5*q**4 + 22*q**3 + 40*q**2 + 32*q - 12. Factor n(u).
2*(u + 1)**2*(u + 4)**2
Let a(q) be the first derivative of q**4/2 - 16*q**3/3 + 16*q**2 - 17. Factor a(v).
2*v*(v - 4)**2
Let x(q) be the first derivative of 5*q**4/48 - 7*q**3/24 + q**2/4 - 2*q + 1. Let s(w) be the first derivative of x(w). Factor s(t).
(t - 1)*(5*t - 2)/4
Suppose 3*n - 2*b = 21, -2 = -n - 0*b - b. Suppose 2/5*p**n + 2/5*p**2 + 0 + 6/5*p**4 + 0*p + 6/5*p**3 = 0. Calculate p.
-1, 0
Let p(v) = 2*v - 3. Let h be p(3). Determine w, given that -2*w + h*w**2 + 0*w**2 - w**2 = 0.
0, 1
Let k(t) be the third derivative of t**8/6720 - t**5/30 - 2*t**2. Let r(m) be the third derivative of k(m). Suppose r(z) = 0. Calculate z.
0
Let 0 - 28/3*r**2 + 4/3*r**3 + 8*r = 0. Calculate r.
0, 1, 6
Let i(l) be the first derivative of -1/8*l**2 + 7 + 0*l + 1/12*l**3. Find n, given that i(n) = 0.
0, 1
Let o(f) = f**3 + 8*f**2 + 2*f + 8. Let d be o(-8). Let t = d + 10. Factor t*z**2 + 4/3*z**3 - 2/3 + 0*z.
2*(z + 1)**2*(2*z - 1)/3
Let y be -5*((-12)/15 + 0). Factor -2*u**4 + 2*u**3 + u**2 + u**y - u - u**3.
-u*(u - 1)**2*(u + 1)
Let z be (-1 + -1)/((-2)/7). Let w = z + -7. Factor -4/7*o**2 - 18/7*o**3 + 0*o + w - 2*o**4.
-2*o**2*(o + 1)*(7*o + 2)/7
Let h(q) = q**2 + q. Let f be h(1). Suppose -4*m + 3*m + f*o = 0, 0 = -3*m + 5*o. Find x, given that -3*x**4 - x**3 + 2*x + 1 + 3*x**2 + m*x**4 - 1 - x**5 = 0.
-2, -1, 0, 1
Let i(w) be the first derivative of -w**6/18 - 2*w**5/15 + 2*w**3/9 + w**2/6 - 8. Factor i(r).
-r*(r - 1)*(r + 1)**3/3
Let q be -8 + 6 + 1/1. Let x be -3 - q/(3/10). Find f such that -2/3*f + x*f**2 + 1/3 = 0.
1
Factor 1/6*x - 1/3*x**4 + 0*x**3 - 1/6*x**5 + 1/3*x**2 + 0.
-x*(x - 1)*(x + 1)**3/6
Let f be (1/(-14))/((-3)/(-2406)). Let l = -57 - f. Factor l*w**2 - 2/7*w**4 + 0 + 0*w + 0*w**3.
-2*w**2*(w - 1)*(w + 1)/7
Let x(j) be the second derivative of -7*j**6/15 + 107*j**5/10 - 185*j**4/2 + 1025*j**3/3 - 250*j**2 - 5*j. Factor x(l).
-2*(l - 5)**3*(7*l - 2)
Suppose -13*w = -9*w - 20. Factor -17*o**4 + 28*o - 2*o**5 + 20*o + w*o**5 + 57*o**3 + 75*o**2 + 12 + 38*o**4.
3*(o + 1)**3*(o + 2)**2
Solve 34/19*g + 6/19*g**3 - 28/19*g**2 - 12/19 = 0 for g.
2/3, 1, 3
Let a = 4 + -1. Let s = -6 - -13. Factor -2*c**4 - 3*c**3 + s*c**4 + c**2 - a*c**2.
c**2*(c - 1)*(5*c + 2)
Let c(t) be the third derivative of -t**6/280 + t**5/420 + t**4/84 - 8*t**2. Suppose c(p) = 0. What is p?
-2/3, 0, 1
Let k(i) be the second derivative of -i**5/30 + i**4/4 + 7*i**2/2 - 7*i. Let m(c) be the first derivative of k(c). Solve m(b) = 0 for b.
0, 3
Let c = -33/40 - -13/8. Let 48/5*j**2 + c - 6*j + 32/5*j**3 = 0. What is j?
-2, 1/4
Let p = 35/132 - 1/12. Factor 2/11*m**3 + 2/11*m**2 - 2/11*m - p.
2*(m - 1)*(m + 1)**2/11
Let y(g) be the first derivative of g**5/20 + g**4/6 + g**3/6 + 2*g + 1. Let v(w) be the first derivative of y(w). Factor v(f).
f*(f + 1)**2
Let a(m) be the second derivative of 9/4*m**2 - 1/2*m**3 - m + 1/24*m**4 + 0. Find c, given that a(c) = 0.
3
Suppose -2*z + 5*z - 36 = 0. Factor z*w**2 - 1 + 8*w + 5 - 20*w - 4*w**3.
-4*(w - 1)**3
Suppose 16 = -2*v + 10*v. What is u in -u**3 + u**v + 0*u + 1/4*u**4 + 0 = 0?
0, 2
Suppose 7*o = 35 - 21. Let 0*g + 1/4*g**4 + 0 - 1/4*g**3 + 1/4*g**5 - 1/4*g**o = 0. Calculate g.
-1, 0, 1
Factor -7*h**4 - 41*h**2 - 12*h - 3*h - 25*h**3 + 6*h**2 + 2*h**4.
-5*h*(h + 1)**2*(h + 3)
Suppose 5*y + j = -3 + 21, -4*j + 24 = 4*y. Determine z so that -z**4 + 3*z**2 - 3 - 5*z**4 + 6 + 9*z**y - 9*z = 0.
-1, 1/2, 1
Factor -9/5*a + 0 + 1/5*a**2.
a*(a - 9)/5
Let w be ((-8)/14 - -2) + 18/(-63). Let p(u) be the first derivative of 1 - 12/7*u**2 + 15/7*u**4 + 10/7*u**5 - 22/21*u**3 + w*u. Factor p(k).
2*(k + 1)**2*(5*k - 2)**2/7
Let w(d) be the first derivative of -49*d**5/5 + 63*d**4/2 - 109*d**3/3 + 18*d**2 - 4*d + 13. Factor w(i).
-(i - 1)**2*(7*i - 2)**2
Let s(d) be the third derivative of -d**6/60 + d**5/15 + d**4/12 - 2*d**3/3 - 4*d**2. Determine l, given that s(l) = 0.
-1, 1, 2
Let c(o) = o**2 + 2*o + 3. Let w be c(-3). Suppose -3*s - w = -5*s. Solve -v**2 - 1/4*v**s - v + 0 = 0.
-2, 0
Determine g so that -1/2*g**2 - 1/6*g + 2/3*g**3 + 0 = 0.
-1/4, 0, 1
Factor -8/3 + 4/3*k**3 - 16/3*k**2 + 20/3*k.
4*(k - 2)*(k - 1)**2/3
Let x(t) = -t**3 - 9*t**2 - 7*t + 6. Let o be x(-8). Let g be (-8)/(-6) - o/3. Solve 10/3*s**g + 0 + 4/3*s = 0.
-2/5, 0
Let a(f) be the second derivative of -f**6/1980 + 2*f**5/165 - 4*f**4/33 + f**3/3 + 3*f. Let c(i) be the second derivative of a(i). Factor c(u).
-2*(u - 4)**2/11
Let t(u) = -u**3 + 4*u**2 - 4*u + 3. Let h be t(3). Factor h + 5*o**2 - 5*o - 4 + o - 6*o**2.
-(o + 2)**2
Let b(s) be the first derivative of -s**6/240 + s**5/120 + s**4/48 - s**3/12 + 5*s**2 + 10. Let j(x) be the second derivative of b(x). Solve j(d) = 0.
-1, 