at t(v) = 0.
-1, 0, 1/2
Let n(b) = -6*b**4 + 11*b**3 + b**2 - b + 5. Let k(r) = -9*r**4 + 16*r**3 + 2*r**2 - 2*r + 7. Let y(t) = -5*k(t) + 7*n(t). Factor y(m).
3*m*(m - 1)**2*(m + 1)
Let w(h) be the first derivative of 2/3*h**3 - 1/6*h**4 - 2*h - 1/10*h**5 - 4 + 0*h**2. Let l(m) be the first derivative of w(m). Let l(a) = 0. Calculate a.
-2, 0, 1
Suppose m = -5*y + 3*y + 4, -2 = 2*y. Let h be (-1)/m + 8/12. Factor -z - 1/2 - h*z**2.
-(z + 1)**2/2
Let b(w) be the second derivative of -3*w**5/20 - 3*w**4/2 - 6*w**3 - 12*w**2 - 11*w. Solve b(p) = 0.
-2
What is d in -1/4*d + 1/2 + 1/4*d**3 - 1/2*d**2 = 0?
-1, 1, 2
Let j(z) be the third derivative of z**7/210 - z**6/60 - 2*z**2. Factor j(r).
r**3*(r - 2)
Let l(y) be the first derivative of 3/16*y**4 - 3*y - 6 + 0*y**2 + 3/4*y**3. Find c, given that l(c) = 0.
-2, 1
Let o(m) be the third derivative of -2*m**7/525 - m**6/50 + 2*m**4/15 - 9*m**2. Factor o(n).
-4*n*(n - 1)*(n + 2)**2/5
Let c be (-110)/(-90) + (-3 - (-2 + 0)). Solve 0 - 4/9*p + c*p**2 = 0 for p.
0, 2
Suppose -4*o = 1152 + 888. Let v = o + 3576/7. Find r such that -2/7*r**2 - 4/7 - v*r = 0.
-2, -1
Let w(o) be the first derivative of o**2 + o - 1. Let s be w(1). Factor -8*q**2 + 0 - 7*q - 4 - 2*q**s - 3*q.
-2*(q + 1)**2*(q + 2)
Let q(v) be the third derivative of -v**9/15120 + v**8/3360 - v**7/2520 - 5*v**4/24 + 4*v**2. Let j(a) be the second derivative of q(a). What is i in j(i) = 0?
0, 1
Let y be ((-4)/5)/((-1)/5). Find q such that 2*q**3 + 1 + 9*q**y - 4*q**4 + 3*q**5 - 1 = 0.
-1, -2/3, 0
Factor -2/3*s + 2/9*s**4 + 2/9*s**2 + 2/3*s**3 - 4/9.
2*(s - 1)*(s + 1)**2*(s + 2)/9
Let y(m) be the third derivative of m**5/36 - m**4/36 + 10*m**2. Determine k so that y(k) = 0.
0, 2/5
Let k(v) be the second derivative of 147*v**5/40 + 77*v**4/8 + 8*v**3 + 3*v**2 + 4*v. Factor k(a).
3*(a + 1)*(7*a + 2)**2/2
Find x such that -24*x**2 - 3*x + 2 - 3*x - x**2 + 7*x**2 - 10*x**3 = 0.
-1, 1/5
Let z(t) be the first derivative of t**6/1080 - t**5/180 + t**4/72 + t**3/3 - 5. Let x(a) be the third derivative of z(a). Factor x(h).
(h - 1)**2/3
Solve 2*x + 0 + 48*x**3 + 8 + 21*x**2 - 89*x**2 + 10*x = 0 for x.
-1/4, 2/3, 1
Let s be (4/6)/((-8)/(-36)). Factor 4*h + s*h + 1 - 2*h - 4*h**3 - h**2 - h.
-(h - 1)*(h + 1)*(4*h + 1)
Suppose -n = 4*r + 5, 2*r - 2*n = 5*r. Let c be -2 - (r + 1*-4). Find s such that -4*s**5 - 3*s**5 - s + 6*s**5 - 6*s**3 + 4*s**2 + c*s**4 = 0.
0, 1
Let g(n) = -n**2 - 5*n + 3. Let u be g(-4). Let a = u + -3. Factor 0 + 1/2*s**5 + 0*s + 0*s**a + 0*s**2 - 1/2*s**3.
s**3*(s - 1)*(s + 1)/2
Let j(c) be the first derivative of c**8/1680 - c**7/420 + c**6/360 + 5*c**3/3 + 7. Let r(p) be the third derivative of j(p). Solve r(m) = 0.
0, 1
Let o(p) be the first derivative of 2*p**3/3 + 3*p**2 - 20*p - 38. Determine l so that o(l) = 0.
-5, 2
Suppose -4*n + 4*z = n - 38, 3*n = 3*z + 24. Factor -1 - n*m - 21/4*m**2 + 49/4*m**3.
(m - 1)*(7*m + 2)**2/4
Let v(r) be the third derivative of -r**7/420 - r**6/24 - 3*r**5/10 - 9*r**4/8 - 9*r**3/4 - 7*r**2. Factor v(c).
-(c + 1)*(c + 3)**3/2
Let t(k) be the third derivative of -k**7/945 + 7*k**6/540 - 17*k**5/270 + 17*k**4/108 - 2*k**3/9 - 9*k**2. Determine f so that t(f) = 0.
1, 2, 3
Suppose -5*w + 22 + 3 = 0. Suppose -2*v - 3*v = -w*j + 10, v - 2*j = -6. Factor -9*t**3 - 3/2*t**5 + 6*t**4 + 0 + 6*t**v - 3/2*t.
-3*t*(t - 1)**4/2
Suppose 27 = 5*i - 5*p + 2, p = 0. Find t, given that -2*t - 33/2*t**2 - 17/2*t**3 + 2 + 29/2*t**4 + 21/2*t**i = 0.
-1, -2/3, 2/7, 1
Let c(n) be the first derivative of -n - 1/48*n**4 + 2 + 1/12*n**3 - 1/8*n**2. Let h(t) be the first derivative of c(t). Factor h(b).
-(b - 1)**2/4
Let a be ((-4)/(-8))/((-2)/(-44)). Find n, given that -2 - 12*n - a*n**2 - 3*n**2 - 6*n**2 - 4*n**2 - 20*n**3 - 6*n**4 = 0.
-1, -1/3
Determine l, given that 96/7*l + 2/7*l**3 + 128/7 + 24/7*l**2 = 0.
-4
Let l(y) be the first derivative of -y**7/504 + 7*y**6/1080 - y**5/180 - y**3/3 + 1. Let a(g) be the third derivative of l(g). Suppose a(q) = 0. What is q?
0, 2/5, 1
Let k be 3 - (4/2 - 1). Factor 0 + 4*s + 3*s**2 + 28*s**3 + 0 - 12*s**4 - 23*s**k.
-4*s*(s - 1)**2*(3*s - 1)
Suppose -1 = -5*o + 3*l, -5*l + 24 - 7 = o. Factor -1 + 2*q + 2*q**o + 1.
2*q*(q + 1)
Let x be (8/(-252))/(1/(-7)). Let c = 6 + -4. Factor 4/9*f + x*f**c - 2/3.
2*(f - 1)*(f + 3)/9
Let a(o) = o**3 + 7*o**2 + 16*o + 15. Let f be a(-3). Determine t, given that 2/3*t**f + 2/3*t**2 + 0 - 2/3*t - 2/3*t**4 = 0.
-1, 0, 1
Let 1 - 3 + 140*k + k**4 - 148*k - 8*k**3 - 12*k**2 - 3*k**4 = 0. What is k?
-1
Let p = 40 + -36. Let d be 136/425*10/p. What is n in -2/5*n**2 + d*n + 0 = 0?
0, 2
Let l(w) be the second derivative of 0*w**3 + 0 + 0*w**2 - 1/12*w**4 - w + 1/40*w**5. Factor l(c).
c**2*(c - 2)/2
Suppose 4*s = s - 3*r + 6, 0 = 4*r. Suppose 0 = -5*n + 9 + 1. Find k such that -3*k**2 + 4 - s + k**n = 0.
-1, 1
Let d(q) be the first derivative of 3*q**5/5 - 3*q**4/2 - q**3 + 3*q**2 - 2. What is m in d(m) = 0?
-1, 0, 1, 2
Let c = 70/51 - 12/17. Let a be (-20)/(-6)*4/10. Let -a*k - 2/3*k**2 - c = 0. Calculate k.
-1
Let q(z) = -2 + 2*z**2 + 1 - z + 3*z**2 - 4*z**2. Let j(u) = -7*u**2 + 8*u + 6. Let w(a) = -j(a) - 6*q(a). Factor w(s).
s*(s - 2)
Let f = 12 - 16. Let l be 2/f - (-14)/12. Factor 0 + 0*t - l*t**2 - 1/3*t**3.
-t**2*(t + 2)/3
Let c = -875 - -877. Factor -4/5 + 4/5*j**2 - 2*j + c*j**3.
2*(j - 1)*(j + 1)*(5*j + 2)/5
Suppose -5*u + 87 = -3*n + 19, 4*n + 5*u + 44 = 0. Let w = -14 - n. Factor -2/11*d + 2/11 - 2/11*d**w + 2/11*d**3.
2*(d - 1)**2*(d + 1)/11
Suppose -14 = -4*i - 6. Suppose a**2 - 1 - a - a**2 + a**3 + a**i = 0. Calculate a.
-1, 1
Let u(q) be the second derivative of 0*q**2 + 2/15*q**3 - q + 0 - 1/30*q**4. Solve u(i) = 0 for i.
0, 2
Let a(n) = -4*n. Let k(f) = -f**2 + 21*f. Let s(i) = 11*a(i) + 2*k(i). Solve s(q) = 0 for q.
-1, 0
Factor 1/2*k - 1/8*k**2 - 3/8.
-(k - 3)*(k - 1)/8
Let b(d) = d**3 - 7*d**2 + 13*d - 4. Let y be b(4). Factor y + 0*s + 1/2*s**2.
s**2/2
Suppose 4*q = -p + 20, -4*q = 4*p - p - 28. Let -9*k**3 - 3*k + 9*k**2 + k**4 - 2*k**4 + q*k**4 = 0. Calculate k.
0, 1
Let p(g) be the third derivative of -8/9*g**3 - 1/15*g**5 + 0*g + 1/3*g**4 + 1/180*g**6 + 0 - 8*g**2. Determine q so that p(q) = 0.
2
Let b(w) = -w**3 - 7*w**2 + 4*w - 28. Let s be b(-8). Factor 6 + 2/3*o**2 - s*o.
2*(o - 3)**2/3
Let b = -107/26 - -60/13. Factor -b*h**2 + 0 + 1/2*h.
-h*(h - 1)/2
Suppose 5*n = 2*n - 15. Let m be (18/20)/((-3)/n). Factor -3/2*v + 1/2 - 1/2*v**3 + m*v**2.
-(v - 1)**3/2
Suppose 4*v + 4*h = 12, -4*h - h - 1 = -3*v. Suppose 0 + 4*w + v*w**2 + 1/4*w**4 - 7/4*w**3 = 0. What is w?
-1, 0, 4
Let o = 13 - 8. Determine l, given that -2*l**4 - o*l**2 + 3*l**3 + 3*l**4 - 2*l**3 + 3*l**2 = 0.
-2, 0, 1
Find g such that -4/13*g + 2/13 + 2/13*g**2 = 0.
1
Let v = -8 + 11. Let m(g) be the first derivative of 8/5*g**5 + 0*g + v + 8/3*g**6 + 0*g**2 + 1/3*g**3 - 7/4*g**4. Factor m(f).
f**2*(f + 1)*(4*f - 1)**2
Let m(r) = -r**3 + 4*r**2 + 3*r - 6. Let j be m(4). Suppose -w = l - j, -w - w - 5*l = -24. Factor -1/5*h + 1/5*h**4 - 1/5*h**w + 1/5*h**3 + 0.
h*(h - 1)*(h + 1)**2/5
Let m(s) be the first derivative of s**6/45 - s**5/10 + s**4/6 - s**3/9 + 3*s - 4. Let o(j) be the first derivative of m(j). Suppose o(u) = 0. What is u?
0, 1
Let p(x) = x**2 - x - 1. Let q(s) = -5*s**2 - s + 1. Suppose 6*r = 7*r + 2. Let y(g) = r*q(g) - 6*p(g). Let y(w) = 0. Calculate w.
-1
Let v be -1*3 - (-6)/(-2). Let n be 60/27 - v/(-27). What is h in 2/7 + 4/7*h + 2/7*h**n = 0?
-1
Let c(h) be the third derivative of -h**8/5040 + h**7/1260 - h**5/12 + 6*h**2. Let j(b) be the third derivative of c(b). Factor j(i).
-4*i*(i - 1)
Let o(k) = -4*k**5 + 6*k**4 - 9*k**3 + 7*k**2. Let x(i) = -i**5 + i**2. Let f(a) = o(a) - 3*x(a). Solve f(l) = 0 for l.
0, 1, 4
Let u(m) be the first derivative of 4*m - 1 + 1/12*m**3 - m**2. Factor u(p).
(p - 4)**2/4
Factor h**2 + 3*h**2 + 126*h**3 + h**5 + 2*h**2 - 4*h**4 - 125*h**3.
h**2*(h - 3)*(h - 2)*(h + 1)
Suppose 2*y = 7*y - 25. Suppose y*z - 10 = -4*d + 5*d, 3*d = 2*z - 4. What is h in 4*h**z - 3*h**2 + 0*h - 2*h - 3*h**2 = 0?
-1, 0
Let z(o) be the third derivative of -o**6/30 + 2*o**5/15 + 5*o**4/6 - 4*o**3 + 7*o**2 - o. Suppose z(c) = 0. Calculate c.
-2, 1, 3
Let x(t) be the second derivative of 2*t**6/15 + t**5/5 - t**4 - 2*t**3/3 + 4*t**2 - 3