that o(d) = 0.
-2, 0
Let l(o) = o**3 - o**2 - o. Let m be l(2). Let 7*d**3 + 0*d + 3*d**m - 6*d**3 + d - 5*d**3 = 0. What is d?
-1/4, 0, 1
Let d(z) = 19*z**3 + 8*z**2 - 19*z + 3. Let p(w) = -5*w**3 - 2*w**2 + 5*w - 1. Let x(j) = -6*d(j) - 22*p(j). Solve x(r) = 0.
-1, 1
Factor -3/5*y**4 + 6/5*y - 6/5*y**3 + 0*y**2 + 3/5.
-3*(y - 1)*(y + 1)**3/5
Let c(y) be the first derivative of y**3/6 - y**2/2 + 3. Factor c(b).
b*(b - 2)/2
Let l = -4/43 - -363/3440. Let o(n) be the second derivative of -1/24*n**3 - 3*n + l*n**5 - 1/48*n**4 + 1/8*n**2 + 0. Factor o(w).
(w - 1)**2*(w + 1)/4
Let b(n) be the third derivative of -n**6/600 + n**5/300 + 2*n**2. Factor b(p).
-p**2*(p - 1)/5
Factor -4/3 + 2/3*s**2 - 2*s + 2*s**3 + 2/3*s**4.
2*(s - 1)*(s + 1)**2*(s + 2)/3
Let f = -1005/2 - -503. Suppose -f + 1/2*w**2 + 0*w = 0. What is w?
-1, 1
Suppose 2*y - 1 - 3 = 0. Factor -4*g + 3*g**5 + 4*g**4 + 12*g - 6*g**3 - g**5 - g**2 - 7*g**y.
2*g*(g - 1)**2*(g + 2)**2
Let 2/9*h**2 - 2/9*h + 2/9*h**3 - 2/9 = 0. Calculate h.
-1, 1
Let j(v) be the first derivative of v**3/3 + 3*v**2/2 + 2*v + 14. Factor j(n).
(n + 1)*(n + 2)
Let j(u) be the third derivative of u**8/2520 + 2*u**7/1575 + u**6/900 - 36*u**2. Let j(z) = 0. Calculate z.
-1, 0
Let k(f) = 11*f**4 + 5*f**3 - 31*f**2 + 15*f. Let l(t) = -32*t**4 - 15*t**3 + 92*t**2 - 45*t. Let w(a) = 17*k(a) + 6*l(a). Factor w(r).
-5*r*(r - 1)**2*(r + 3)
Factor 0 - 4/11*y + 2/11*y**2 + 10/11*y**4 + 16/11*y**3.
2*y*(y + 1)**2*(5*y - 2)/11
Let r**3 - 29*r**4 + 2*r + 2*r**3 + 28*r**4 + 1 - 5*r**3 = 0. Calculate r.
-1, 1
Let t(k) = k**2 - 1. Let x be t(-2). Factor -3*g**2 + g**4 - 2*g**4 + 4*g**2 + 2*g**4 + 2*g**x.
g**2*(g + 1)**2
Let k(o) be the second derivative of -o**6/45 + o**5/10 - o**4/9 - 4*o. Factor k(u).
-2*u**2*(u - 2)*(u - 1)/3
Let o(p) be the third derivative of -p**10/60480 + p**8/13440 - p**4/6 + 7*p**2. Let w(c) be the second derivative of o(c). Factor w(a).
-a**3*(a - 1)*(a + 1)/2
Let o(l) = -2*l**2 - 2*l - 1. Let i(w) = w**2 + 2*w. Let h be i(3). Let z(k) = -k**2 - k. Let t(c) = h*z(c) - 6*o(c). Factor t(x).
-3*(x - 1)*(x + 2)
Let g = -2/9 + 14/9. Factor 2/3*j - 4/3*j**2 - 2/3*j**3 + g.
-2*(j - 1)*(j + 1)*(j + 2)/3
Let g = -9 + 13. Suppose 4*h = 4*n - 20, -3*n = -2*h + g - 17. Solve -3 - 3*m**4 + m**2 - 7*m**2 + 3 + 9*m**n = 0 for m.
0, 1, 2
Let v(f) = -16*f**2 + 16. Let m(j) = -4*j**2 + 4. Let n(q) = 9*m(q) - 2*v(q). Factor n(d).
-4*(d - 1)*(d + 1)
Let r(v) be the first derivative of 3*v**4/8 + v**3 - 3*v**2/4 - 3*v - 2. Suppose r(g) = 0. What is g?
-2, -1, 1
Let x(w) be the second derivative of -w**7/840 + w**6/360 - w**3/2 + 4*w. Let t(a) be the second derivative of x(a). Determine q, given that t(q) = 0.
0, 1
What is x in -12*x**2 + 0 + 21/2*x + 3/2*x**3 = 0?
0, 1, 7
Let u = -155 + 1089/7. Suppose -2*y + 4*z = -18, -5*y = -2*y + 5*z + 6. Factor -2/7*c**y - 6/7*c**2 - u*c + 0.
-2*c*(c + 1)*(c + 2)/7
Let j be (4 + 64/(-20))/((-3)/(-3)). What is u in 0*u**2 + j*u - 2/5*u**4 - 4/5*u**3 + 2/5 = 0?
-1, 1
Let a(x) = -x**3 + 7*x**2 - 5*x - 4. Let r be a(6). Factor 2*p**2 + 3*p**r - 3*p**4 - 4*p**2 + 2*p**4.
-p**2*(p - 1)*(p + 1)
Let 2/3*g**3 + 5/6*g**2 - 1/2 - 1/3*g = 0. Calculate g.
-1, 3/4
Let f = -104 - -107. Factor 6/7*l**f + 0 + 4/7*l**2 + 0*l.
2*l**2*(3*l + 2)/7
Factor 3*v - 3*v - 5*v**2 - 5*v.
-5*v*(v + 1)
Suppose 4 = 13*v + 4. Factor 0*k**3 + v*k**2 + 0 + 2/7*k**4 + 0*k - 2/7*k**5.
-2*k**4*(k - 1)/7
Let o(t) be the first derivative of -2/5*t**2 + 1/15*t**4 + 1/3*t**3 - 4*t - 2 - 1/10*t**5. Let g(p) be the first derivative of o(p). Factor g(j).
-2*(j - 1)*(j + 1)*(5*j - 2)/5
Let d(k) be the third derivative of -k**6/60 - k**5/6 - 2*k**4/3 - 4*k**3/3 + 2*k**2. Let d(q) = 0. What is q?
-2, -1
Let u(a) = 7*a**2 - 4*a + 4. Let p be u(4). Let n be (5/p - 0)*4. Determine j so that -n*j**2 + 1/5*j + 0 = 0.
0, 1
Let q(s) = 7*s + 6. Let l(p) = -15*p - 13. Let j(g) = -4*l(g) - 9*q(g). Let w be j(-2). Solve 0 - 16/3*h**4 - 2/3*h + w*h**3 + 2*h**2 = 0.
-1/2, 0, 1/4, 1
Factor 1/2*s**5 - s**2 + 1/2*s**4 + 1/2*s + 1/2 - s**3.
(s - 1)**2*(s + 1)**3/2
Let i = 283/2 + -1965/14. Factor 8/7*l**2 + 0 - 12/7*l**3 - 2/7*l - 2/7*l**5 + i*l**4.
-2*l*(l - 1)**4/7
Suppose 240*v - 233*v = 21. Factor 2/7*n**5 + 0 + 0*n**2 + 2/7*n**v + 0*n + 4/7*n**4.
2*n**3*(n + 1)**2/7
Factor 0*v**2 + 5*v**2 - 2*v**2 - v**3 - 4*v**2.
-v**2*(v + 1)
Let x = 8 + -3. Let w(t) = -3*t**2 + 4*t + 2. Let z(h) = 3 + 4*h - 3*h**2 + 5 - 6 + h**2. Let j(p) = x*z(p) - 4*w(p). Factor j(i).
2*(i + 1)**2
Let m(a) be the first derivative of -a - 4/3*a**3 - 1/2*a**2 + 2 - 4/3*a**4. Let q(g) be the first derivative of m(g). What is y in q(y) = 0?
-1/4
Suppose 0 - 4/3*l**2 - 8/3*l = 0. Calculate l.
-2, 0
Suppose -v - z = -10, -z - 29 = -5*v + z. Suppose -2*r - 10 = -v*r. Solve 0 - 1/6*u**r + 1/6*u - 1/6*u**3 + 1/6*u**4 = 0.
-1, 0, 1
Let 1/4 - 1/8*f - 1/8*f**2 = 0. What is f?
-2, 1
Let q = -258/17 + 533/34. Factor 0 + 1/4*p**4 + 1/4*p**5 - q*p - 3/4*p**3 - 5/4*p**2.
p*(p - 2)*(p + 1)**3/4
What is f in -9*f**5 + 4 - 3*f**3 - 29*f**2 + 14*f + 25*f**4 - f + 0 - f = 0?
-1, -2/9, 1, 2
Suppose -x - 30 = 15. Let n = -43 - x. Factor 0*i + 3/5 - 3/5*i**n.
-3*(i - 1)*(i + 1)/5
Let c(m) = -5*m + 43. Let d be c(8). Factor -2/9*n**2 + 2/9*n**d + 0 + 0*n.
2*n**2*(n - 1)/9
Suppose 3*j + 0*j - 16*j = 0. Factor 1/2*s + j + s**3 - 3/2*s**2.
s*(s - 1)*(2*s - 1)/2
Let -2/9 + 0*k + 2/9*k**2 = 0. Calculate k.
-1, 1
Let a(i) be the third derivative of -i**8/7840 - i**7/8820 + i**6/1260 + i**4/24 + 3*i**2. Let n(h) be the second derivative of a(h). Solve n(c) = 0 for c.
-1, 0, 2/3
Let m = -305 - -305. Find n such that 1/5*n**3 + 0*n**2 + m - 1/5*n = 0.
-1, 0, 1
Suppose -4*f + 2*f = 104. Let m be f/(-20) + (-2)/(-5). Solve 1/4*q**m - 1/4*q**2 + 0 + 0*q = 0 for q.
0, 1
Suppose 4*p + 3 = 15. Suppose -2*j + 3*j = p. Determine o so that 2*o**j + 0*o**3 - 4*o**2 + 3 - 3 = 0.
0, 2
Let y(c) be the second derivative of -c**6/45 + c**4/6 + 2*c**3/9 + 37*c. Determine s so that y(s) = 0.
-1, 0, 2
Let v(h) be the first derivative of -4*h**3/3 - 4*h**2 + 12*h - 2. Factor v(r).
-4*(r - 1)*(r + 3)
Let m(s) be the third derivative of s**8/1176 + 4*s**7/735 + s**6/420 - s**5/21 - s**4/21 + 8*s**3/21 - 13*s**2. Factor m(u).
2*(u - 1)**2*(u + 2)**3/7
Let z(k) be the second derivative of 0*k**2 - 1/70*k**6 + 1/14*k**4 + 0 - 6*k + 0*k**3 + 3/140*k**5. Factor z(s).
-3*s**2*(s - 2)*(s + 1)/7
Suppose 0 = -0*r + 2*r - 3*b - 224, -r - 5*b + 112 = 0. Let u = r + -445/4. What is j in -u*j - 5/4*j**2 + 3/2*j**3 + 1/2 = 0?
-2/3, 1/2, 1
Let f(n) be the third derivative of n**8/336 - n**6/60 + n**4/24 + 3*n**2. Let f(a) = 0. Calculate a.
-1, 0, 1
Let l(g) be the first derivative of -g**5/20 - 5*g - 2. Let o(m) be the first derivative of l(m). Let o(r) = 0. What is r?
0
Let a be (-4)/(-60)*5*(0 + 0). Solve a*z**3 + 2/5*z**5 + 8/5*z**2 + 0*z - 6/5*z**4 + 0 = 0.
-1, 0, 2
Let j(l) be the second derivative of -l**7/210 + l**5/100 - 2*l. Find m, given that j(m) = 0.
-1, 0, 1
Let u(j) be the first derivative of j**5/240 - j**4/96 - j**2 - 3. Let w(a) be the second derivative of u(a). Factor w(t).
t*(t - 1)/4
Let v(q) be the second derivative of 1/21*q**7 + 0 - 4/15*q**6 + 1/3*q**4 + 2*q**2 - 3*q + 2/5*q**5 - 5/3*q**3. Factor v(c).
2*(c - 2)*(c - 1)**3*(c + 1)
Let r = -1087/6 - -182. Solve -1/3*y**2 + 0 + 1/6*y**3 + r*y**5 + 0*y + 4/3*y**4 = 0.
-1, 0, 2/5
Let f(w) be the first derivative of 2 - 2/21*w**3 + 0*w**2 + 8/7*w. Let f(d) = 0. What is d?
-2, 2
Let s(a) be the first derivative of 0*a + 2*a**2 + 2*a**5 - a**4 - 4 - 10/3*a**3. Factor s(n).
2*n*(n - 1)*(n + 1)*(5*n - 2)
Let c(z) = z + 6. Let f be c(-4). Let j be 3 + -5 + f - -4. Let 3*b - 2*b**3 - b + 5*b**2 - j*b**4 - b**4 = 0. Calculate b.
-1, -2/5, 0, 1
Suppose -2*b + 10 = -b. Let l be (b/(-4))/((-4)/8). Determine y, given that y**2 + 2*y**2 + 2*y + 3*y**2 - l*y**2 = 0.
-2, 0
Let n(s) be the second derivative of -s**4/66 - s**3/33 + 2*s**2/11 + 17*s. Factor n(d).
-2*(d - 1)*(d + 2)/11
Let h be (-69)/18 + (2 - -2). Let b(a) be the second derivative of h*a**4 + 2*a + 0 + 0*a**2 - 1/15*a**6 + 0*a**3 + 0*a**5. Suppose b(r) = 0. Calculate r.
-1, 0, 1
Let z be (12/(-6720))/(3/(-4)). Let r(n) be the third derivative of -1/84*n**4 + 0*n**3 - 2*n**2 + z*n**6 + 0*n**5 + 0*n + 0. Determine b, giv