that t(l) = 0.
-2, -1/4, 0
Factor 5/3*k - 1/3 - 4/3*k**2.
-(k - 1)*(4*k - 1)/3
Let q = 11 - 5. Find y such that -y**2 + 7*y - 4 + 4*y**5 - q*y**2 + 6 - 11*y**3 + 0*y**3 + 5*y**4 = 0.
-2, -1, -1/4, 1
Let f be (-126)/4*2/(-3). Let q = f + -17. Find a such that -2/9*a**2 + 0*a**3 + 0 + 2/9*a**q + 0*a = 0.
-1, 0, 1
Factor -4/9*d + 0 - 2/9*d**2.
-2*d*(d + 2)/9
Let t be (12/8)/(3/4). Factor 0*z**2 + 6*z**2 + t*z - 4 - 4*z**2.
2*(z - 1)*(z + 2)
Let u = 1283/7 + -183. Factor -u + 0*a + 2/7*a**2.
2*(a - 1)*(a + 1)/7
Let g(p) = -2*p**3 - p**2 - 2*p - 2. Let b be g(-2). Suppose b = 4*q + 2. Factor s + 0*s**q - s**4 + s**3 + 2*s**2 - s.
-s**2*(s - 2)*(s + 1)
Suppose 2*d + 1 = 5. Let z be (-2)/(-4)*(d + 2). Factor -k**2 + 0*k**2 + 2*k**4 - 3*k**4 + z*k**3.
-k**2*(k - 1)**2
Let q(d) be the first derivative of -2/5*d**5 + 0*d**2 + 0*d + 0*d**4 - 9 + 8/3*d**3. Factor q(s).
-2*s**2*(s - 2)*(s + 2)
Let u(i) be the second derivative of i**4/15 - 2*i**3/15 - 43*i. Let u(c) = 0. What is c?
0, 1
Suppose 2*t - t = 3. Suppose 0 = -4*s, -t*f + 5*s + 30 = 2*f. Factor 2 + q**2 + 3 - f.
(q - 1)*(q + 1)
Let k(c) be the third derivative of c**7/8820 - c**6/2520 + c**4/6 + 5*c**2. Let r(y) be the second derivative of k(y). Determine p so that r(p) = 0.
0, 1
Let q(d) be the first derivative of 0*d + 1/25*d**5 - 2 - 1/15*d**3 + 1/5*d**2 - 1/10*d**4. Factor q(i).
i*(i - 2)*(i - 1)*(i + 1)/5
Let n(a) be the second derivative of a**6/360 - a**5/60 + a**4/24 - a**3/6 + 3*a. Let p(b) be the second derivative of n(b). Factor p(o).
(o - 1)**2
Solve 0 - 2/9*j**2 - 2/9*j = 0.
-1, 0
Determine b so that 0 - 25/2*b - 65/4*b**2 - 5/2*b**3 + 5/4*b**4 = 0.
-2, -1, 0, 5
Let a(c) = -c**2 - 3*c + 8. Suppose -5*x = 3*l + 4, -5*x - 12 = -4*l + 3*l. Let p(d) = -6*d**2 - 21*d + 57. Let g(k) = x*p(k) + 15*a(k). Factor g(u).
-3*(u - 1)*(u + 2)
Let x(m) be the first derivative of m**6/24 + m**5/10 - m**4/8 - m**3/3 + m**2/8 + m/2 - 7. Solve x(z) = 0 for z.
-2, -1, 1
Let d be (-70)/(-20) + 6*(-1)/(-4). Let -1/2 + 5*n**3 + 1/2*n**5 - d*n**2 - 5/2*n**4 + 5/2*n = 0. Calculate n.
1
What is o in 11*o + 2*o**5 - 4*o**2 - 4*o**4 - 16*o**3 - 5*o + 8 - 2*o + 10*o = 0?
-1, 1, 4
Let l(t) be the third derivative of t**7/70 + t**6/4 + 33*t**5/20 + 5*t**4 + 8*t**3 + 37*t**2. Factor l(r).
3*(r + 1)**2*(r + 4)**2
Let n(f) = 6*f**3 + 9*f**2 - 6*f - 9. Let v = 1 - 0. Let l(r) = -r**3 + 1. Let d(c) = v*n(c) + 9*l(c). Factor d(p).
-3*p*(p - 2)*(p - 1)
Factor 0 - 2/3*t**2 + 2/3*t.
-2*t*(t - 1)/3
Let m = -4 - -7. Find u, given that u - 2*u + m*u - 4*u**3 + 2*u**5 = 0.
-1, 0, 1
Let p = 691/28 + -5/28. Factor p*u**5 + 0 + 10*u**2 + 2*u - 35*u**4 - 3/2*u**3.
u*(u - 1)**2*(7*u + 2)**2/2
Suppose 0 = -2*m - 2*w - 6, 17 + 11 = 4*m - 4*w. Solve -14*x + 8*x - 3*x**3 - 9*x + 6 + 12*x**m = 0 for x.
1, 2
Let x(v) be the second derivative of v**8/1680 + v**7/840 - v**6/360 - v**5/120 + v**3/3 + 2*v. Let q(s) be the second derivative of x(s). Factor q(r).
r*(r - 1)*(r + 1)**2
Let n = 51/50 + 9/50. Let t = 8/27 + 14/135. Determine i so that -4/5*i + t - n*i**2 = 0.
-1, 1/3
Factor -1/5*x + 0*x**2 + 0 + 1/5*x**3.
x*(x - 1)*(x + 1)/5
Let n be (-296)/(-280) + (-1)/5. Find b, given that n*b - 4/7*b**3 + 2/7 - 2/7*b**5 + 4/7*b**2 - 6/7*b**4 = 0.
-1, 1
Let i be (4/12)/(1/63). Let l be 0*(-3 + i/6). Determine s so that 1 - 8*s**2 + l*s**3 + 2*s**3 + 7*s**2 - 2*s = 0.
-1, 1/2, 1
Let w(l) be the first derivative of -l**7/63 + l**6/45 + l**5/30 - l**4/18 + 3*l - 1. Let r(a) be the first derivative of w(a). Find n, given that r(n) = 0.
-1, 0, 1
Let l(f) = 65*f**2 + 40*f. Let c(u) = -22*u**2 - 13*u. Let s(j) = -10*c(j) - 3*l(j). Factor s(w).
5*w*(5*w + 2)
Let 4/3 - 4/3*f**2 + 0*f = 0. What is f?
-1, 1
Solve -9*f**2 + 2*f**2 - 9*f**2 - 4*f = 0.
-1/4, 0
Let o(w) = -5*w**4 + w**3 + 21*w**2 + 31*w + 16. Let i(d) = 45*d**4 - 10*d**3 - 190*d**2 - 280*d - 145. Let k(v) = 6*i(v) + 55*o(v). What is j in k(j) = 0?
-1, 2
Let r = 32/9 - 26/9. Factor 1/3*v - r + 1/3*v**2.
(v - 1)*(v + 2)/3
Let q(p) = -p**3 + 2. Let x be q(2). Let c be (-4)/x + 34/3. Factor -12*g**2 + 0*g**2 + 2*g - 6*g**5 + 24*g**3 - 20*g**4 + c*g**5.
2*g*(g - 1)**3*(3*g - 1)
Let b(g) be the first derivative of -g**6/3 + 6*g**5/5 - 3*g**4/2 + 2*g**3/3 + 6. Factor b(w).
-2*w**2*(w - 1)**3
Let n be 2/6*(18/(-7))/(-3). Factor 0*w**4 - 8/7*w**3 + n*w**5 + 6/7*w - 4/7*w**2 + 4/7.
2*(w - 2)*(w - 1)*(w + 1)**3/7
Suppose 6*u - 2*u**2 - 8*u - 8 + 10*u = 0. What is u?
2
Suppose -2*q = -30 + 8. Factor h**2 - h - 2 + 2 - 9*h**3 + q*h**3.
h*(h + 1)*(2*h - 1)
Let f = 2/173 + 336/865. Solve -f*k + 0 - 2/5*k**2 = 0 for k.
-1, 0
Let j(b) be the second derivative of 25*b**7/21 + 2*b**6 - 11*b**5/10 - 2*b**4 + 4*b**3/3 + 4*b. Factor j(t).
2*t*(t + 1)**2*(5*t - 2)**2
Let m(z) be the first derivative of -z**6/16 + 3*z**4/16 - 3*z**2/16 - 7. Factor m(v).
-3*v*(v - 1)**2*(v + 1)**2/8
Determine x so that 14*x - 4*x + 4*x**3 - 8*x**2 - 6*x = 0.
0, 1
Let d = -11 + 15. Factor s**3 - 13*s**d - s + s**2 + 8*s**4 + 4*s**4.
-s*(s - 1)**2*(s + 1)
Let c(a) = -a**2 - 6*a - 1. Let t be c(-5). Let 11*w**3 + 0*w**t - 8*w**2 + 7*w**4 + w - 12*w**5 + w**2 = 0. What is w?
-1, 0, 1/4, 1/3, 1
Let g be ((-5)/(-2) + -2)*(2 - 2). Determine y, given that 2/5*y**5 - 8/5*y**4 + 0 + 8/5*y**3 + 0*y**2 + g*y = 0.
0, 2
Let x(o) be the third derivative of 2*o**7/105 - 2*o**6/15 + o**2. Factor x(j).
4*j**3*(j - 4)
Let r(x) be the second derivative of -3*x**5/20 - 3*x**4/4 + 16*x. Suppose r(k) = 0. Calculate k.
-3, 0
What is n in -2/5*n**3 - 2/5*n**2 - 6/5 + 2*n = 0?
-3, 1
Let q(v) be the first derivative of -v**4/9 + 4*v**3/9 - 6*v - 4. Let h(u) be the first derivative of q(u). Factor h(r).
-4*r*(r - 2)/3
Let j(h) be the first derivative of -2*h**6/3 + 6*h**5/5 - h**4/16 - h**3/2 - h**2/8 - 9. Factor j(k).
-k*(k - 1)**2*(4*k + 1)**2/4
Suppose -2*l - 3*l + 5 = 0. Let f be l*-2*(6 + -7). What is w in 0 + 0*w - 1/3*w**4 - 1/3*w**f + 2/3*w**3 = 0?
0, 1
Suppose -4*t + 2*t + 16 = -4*m, -5*m = -3*t + 20. Let o = -2 - m. Find l, given that -o*l - 1 + 2*l**3 - 2*l**2 - 3 + 6*l**2 = 0.
-2, -1, 1
Let s be -2 + 6 + 0 + 1. Let i(g) be the first derivative of 2/3*g**2 - 1/2*g**4 + 0*g - 2 + 2/3*g**3 - 1/3*g**6 - 14/15*g**s. Find u such that i(u) = 0.
-1, 0, 2/3
Let n(y) be the third derivative of -2*y**7/21 + 9*y**6/10 - 10*y**5/3 + 6*y**4 - 16*y**3/3 - 6*y**2. Determine p so that n(p) = 0.
2/5, 1, 2
Let r(c) be the second derivative of 1/140*c**5 + 1/28*c**4 - 4*c + 1/21*c**3 + 0*c**2 + 0. Factor r(d).
d*(d + 1)*(d + 2)/7
Let b be 182/(-6) + 1/(-6). Let v = b + 31. Let v*f - 1/4*f**2 - 1/4 = 0. What is f?
1
Let r = -224/15 - -15. Let s(g) be the second derivative of r*g**6 - 1/10*g**5 + 0*g**4 - 2*g + 0*g**2 + 0*g**3 + 0. Solve s(j) = 0.
0, 1
Let p be -2 - 9/(-2) - 2. Let l be (-24)/16 - (-2 + 0). Factor -l*u + u**2 - p*u**3 + 0.
-u*(u - 1)**2/2
Let a(k) = 0 + k**3 + 1 + k - 2 + 2. Let m(t) = -t**4 - t**2 + 6*t + 5. Let i(s) = -3*a(s) + m(s). What is u in i(u) = 0?
-2, -1, 1
Let c(h) be the first derivative of -3/4*h**4 - 3*h**2 - 1 - 3*h**3 + 0*h. What is a in c(a) = 0?
-2, -1, 0
Suppose -3*j + 109 = -4*t, -t - j = -2*j + 28. Let s = t + 29. Find h such that 0 + 2*h**3 - 2/3*h**s + 2/3*h - 2*h**2 = 0.
0, 1
Suppose m - 3*y = 6, -3*m + 6*m - 25 = 2*y. Suppose 6*c = 3*c + m. Factor -1/4*g**2 + 0*g - 1/4*g**4 + 0 - 1/2*g**c.
-g**2*(g + 1)**2/4
Suppose 39 = 5*t - 11. Suppose -6*a - 3 + a**3 + 0*a**3 - 3*a**3 - t*a**2 + 21 = 0. What is a?
-3, 1
Let l(v) be the second derivative of 2*v**4 - 9*v**3/2 + 3*v**2/2 + 6*v. Factor l(k).
3*(k - 1)*(8*k - 1)
Let q(k) be the third derivative of -k**8/672 - k**7/105 + k**6/20 - k**5/60 - 11*k**4/48 + k**3/2 - 11*k**2. Determine h, given that q(h) = 0.
-6, -1, 1
Find i, given that -1/6*i + 1/6*i**2 + 0 = 0.
0, 1
Let u be 1/(-3 - 39/(-12)). Let n be (-2)/u + 9/12. Determine r, given that -3/4*r**2 - 1/4 - n*r**3 - 3/4*r = 0.
-1
Suppose 4*y - 14 = -2. Determine s so that y - 10*s**2 - 2*s + s**3 - 7*s**3 + 3 - 4 = 0.
-1, 1/3
Let u(j) be the third derivative of -j**8/3360 + j**6/400 - j**5/300 - 41*j**2. Factor u(h).
-h**2*(h - 1)**2*(h + 2)/10
Let w(y) = -7*y**3 + 4*y**2 + 5*y + 6. Let l(u) = 8*u**3 - 5*u**2 - 6*u - 7. Let x(t) = -6*l(t) - 7*w(t). Determine s so that x(s) = 0.
-1, 0
Let m = -76/9 - -26/3. Let m*q**2 + 2/3*q + 