*d**2/5 + 6. Solve r(a) = 0.
0, 2
Let k(s) be the third derivative of 1/6*s**3 - 2*s**2 + 7/24*s**4 + 0*s + 2/15*s**5 + 0 - 2/15*s**6. Factor k(j).
-(j - 1)*(4*j + 1)**2
Let p be (-168)/(-91) + 8/52. Factor 2/3 + 8/3*f**p + f**3 + 7/3*f.
(f + 1)**2*(3*f + 2)/3
Let x be (0 - 2/(-4))*4. Suppose -6 = 2*j, 2*u + j - x = 1. Let 3*k**5 + 2*k**4 - 2*k**2 - 4*k**u + 6*k**3 - 5*k**5 = 0. What is k?
-1, 0, 1
Suppose -2 = -2*n + 4*z, -2*n + 2*z = -6*n + 14. Let w = -5 - -7. Factor n*p + p**w + 3*p**2 + 2*p**3 - p.
2*p*(p + 1)**2
Let a(t) be the second derivative of t**7/14 - t**6/10 - 3*t**5/10 + t**4/2 + t**3/2 - 3*t**2/2 - 8*t. Factor a(w).
3*(w - 1)**3*(w + 1)**2
Suppose 18 = -2*v + 4*v + 3*d, 5*v + 3*d - 36 = 0. Let b be 15/(-5) - v/(-2). Determine q so that 2/3*q**5 + 2/9*q**4 - 4/9*q**3 + b*q + 0*q**2 + 0 = 0.
-1, 0, 2/3
Let t(f) be the first derivative of 1/2*f**2 - 1/4*f**4 - f + 3 + 1/3*f**3. Factor t(m).
-(m - 1)**2*(m + 1)
Factor 2*h + 4*h**2 - 6*h**2 + 3*h**2.
h*(h + 2)
Let w be (0 - (-6)/2) + (-840)/350. Determine h so that -1/5*h**3 + w*h**2 - 3/5*h + 1/5 = 0.
1
Let w(f) be the second derivative of -f**4/6 + 4*f**3/3 - 4*f**2 + 7*f. Determine d so that w(d) = 0.
2
Let l(s) be the second derivative of -s**6/360 - s**5/120 - s**3/6 - 4*s. Let q(w) be the second derivative of l(w). Let q(g) = 0. Calculate g.
-1, 0
Let r(l) be the second derivative of -1/24*l**4 - 1/8*l**2 - 3*l + 1/168*l**7 + 0 - 1/8*l**3 + 1/40*l**5 + 1/40*l**6. Factor r(b).
(b - 1)*(b + 1)**4/4
Find n such that 0*n + 0*n**2 - 2/9*n**3 - 4/9*n**4 - 2/9*n**5 + 0 = 0.
-1, 0
Let i(o) be the second derivative of -o**7/360 - o**6/120 - o**5/180 - 4*o**3/3 + 4*o. Let l(y) be the second derivative of i(y). Let l(v) = 0. Calculate v.
-1, -2/7, 0
Let a(t) be the first derivative of 5*t**4/8 + 17*t**3/18 + t**2/6 + 32. Factor a(d).
d*(d + 1)*(15*d + 2)/6
Let d = 325 + -1623/5. Factor 4/5*j**2 + 0 + 0*j - d*j**3 - 2/5*j**4.
-2*j**2*(j - 1)*(j + 2)/5
Let l be (2 - (3 + -1))/(3 - 5). Factor -a**2 + 0 + l*a - 1/2*a**3.
-a**2*(a + 2)/2
Let w(r) be the second derivative of -r**7/1260 - r**6/540 - r**3/6 - 6*r. Let g(u) be the second derivative of w(u). Factor g(c).
-2*c**2*(c + 1)/3
Let f(y) = 24*y. Let m be f(1). Let n be (m/30)/(2/10). Solve 2*l**3 - 3*l**3 + 3*l**3 - 2*l**2 - n*l**3 = 0 for l.
-1, 0
Let c be (7 - 300/44) + 20/11. Factor -1/2*v**c - 1/2 + v.
-(v - 1)**2/2
Let v = 3/20 + 1/4. Suppose 0*s + 0 + 0*s**3 + 2/5*s**4 - v*s**2 = 0. What is s?
-1, 0, 1
Factor 27*q**2 - 49*q**2 + 19*q**2.
-3*q**2
Let o = -13021 + 65468/5. Suppose 12/5 + o*y**2 + 132/5*y = 0. What is y?
-2/11
Let y(h) = -3*h**3 + h**2. Let a be y(-1). Factor -2*l**3 + l**4 + 3*l**4 - 2*l**4 + 2*l**a.
2*l**3*(2*l - 1)
Suppose -3*v + c = -17, -3*v - 2*c + 22 = -4*c. Factor 6/5*l**3 - 2/5*l**v + 0 + 0*l - 4/5*l**2.
-2*l**2*(l - 2)*(l - 1)/5
Determine h so that -3*h - 2*h**3 - 4 + 6*h + 3*h = 0.
-2, 1
Let k = 2 - -4. Factor -2*u**4 + 4*u - 1 + u**3 + 3*u**4 - k*u + u**3.
(u - 1)*(u + 1)**3
Let l = 358 - 1788/5. What is o in l*o**2 + 6/5*o + 0 = 0?
-3, 0
Suppose 12*v + 5 = -2*l + 9*v, 0 = -l - v. Solve 1/5*h**4 - 1/5*h**l + 2/5*h**3 - 1/5*h - 2/5*h**2 + 1/5 = 0 for h.
-1, 1
Factor 4*d + 10*d**3 - 10*d + d - 5*d**5 + 5*d**4 - 3*d**2 + 5 - 7*d**2.
-5*(d - 1)**3*(d + 1)**2
Let l(z) be the first derivative of 2*z**3/9 + z**2/3 - 4*z/3 + 12. Find r, given that l(r) = 0.
-2, 1
Suppose -3*r - 8 = -7*r. Factor 2/7*m**r + 2/7 - 4/7*m.
2*(m - 1)**2/7
Suppose 4*a = -a + 15. Let r = 6 - 1. Factor 0*z**4 + z**4 + 1 + 4*z**a - z - 2*z**3 - z**r - 2*z**2.
-(z - 1)**3*(z + 1)**2
Suppose -14*t = -12*t. What is h in 4/3*h**3 + 0*h + 2/3*h**2 + 2/3*h**4 + t = 0?
-1, 0
Let s = 17 - 16. Let j(p) be the first derivative of s + 0*p - 2/21*p**3 + 0*p**2. Let j(l) = 0. Calculate l.
0
Let -15*c**3 - 16*c**3 - 6*c**2 + 14*c**4 - 16*c**2 + 7*c**3 + 24*c + 8 = 0. Calculate c.
-1, -2/7, 1, 2
Let g(j) be the third derivative of j**9/60480 - j**8/20160 - j**7/2520 - j**5/12 - 2*j**2. Let y(f) be the third derivative of g(f). Factor y(p).
p*(p - 2)*(p + 1)
Let d(p) be the first derivative of -2/15*p**3 + 1/10*p**2 - 3 + 1/20*p**4 + 0*p. Factor d(m).
m*(m - 1)**2/5
Let v(p) be the first derivative of p**6/30 + p**5/25 - 3*p**4/20 - p**3/3 - p**2/5 - 32. Determine t, given that v(t) = 0.
-1, 0, 2
Let m(l) be the first derivative of l**3/9 - l**2/6 + 18. Let m(g) = 0. What is g?
0, 1
Let h(v) = -v**3 + v - 3. Let f = -6 + 3. Let a(p) = 2. Suppose -11 - 3 = 2*o + 5*x, -3*x = 3*o + 12. Let b(t) = f*a(t) + o*h(t). Let b(j) = 0. What is j?
-1, 0, 1
Let m be 1*(-4)/(-14)*7. Factor 4/5*g + 4/5 + 1/5*g**m.
(g + 2)**2/5
Let k(s) be the second derivative of 128*s**6/15 - 144*s**5/5 + 36*s**4 - 18*s**3 - 16*s. Factor k(q).
4*q*(4*q - 3)**3
Factor -1 + 2*r**4 - 2*r**3 - 2*r - r**4 + 4*r.
(r - 1)**3*(r + 1)
Let h(r) = 23*r - 3. Let q be h(2). Let s = 133/3 - q. Determine w so that 4/3*w**2 - w**5 - s*w**4 + 0 + 2/3*w**3 + 1/3*w = 0.
-1, -1/3, 0, 1
Let -24/5*g + 3*g**4 + 21/5*g**3 - 3/5*g**2 - 12/5 + 3/5*g**5 = 0. Calculate g.
-2, -1, 1
Suppose 3 = 2*x - 4*k - 5, -x - 2 = -5*k. Let i be (-12)/8*x/(-6). Find y such that i*y + 0*y**2 + y**2 - y = 0.
-1, 0
Suppose 0 = 5*b + 2*x - 16, -2*x = 2*b - 6*x + 8. Let z be ((-39)/130)/(b/(-10)). Factor 0*k + 0 + 0*k**2 - z*k**4 + k**3.
-k**3*(3*k - 2)/2
Suppose 0 = d - 3*d + 2. Let g be (d/2)/((-1)/(-6)). Determine n so that 2*n + n + n + 0*n**g - 4*n**3 + 2*n**4 - 2 = 0.
-1, 1
Let b = -6 + 9. Let l(i) be the second derivative of -3*i + 0*i**b + 1/50*i**5 + 0*i**2 + 1/30*i**4 + 0. Find s such that l(s) = 0.
-1, 0
Suppose 0 = 3*y + 5*r + 11, -3*y - 1 = -2*y + r. Let z be ((-1)/y)/((-2)/12). Find i, given that -2/7*i + 4/7*i**z + 0 - 2/7*i**3 = 0.
0, 1
What is y in -34/5*y**2 + 8/5 - 24/5*y + 8/5*y**4 + 6/5*y**3 = 0?
-2, -1, 1/4, 2
Let b(z) be the first derivative of z**3/15 + 3*z**2 + 45*z - 42. Factor b(p).
(p + 15)**2/5
Suppose -3*o = -0*o. Suppose -4*w + 6*s + 16 = 4*s, o = 5*w + 2*s - 2. Factor -t**w + 17*t**2 - 6*t**3 + 2 - 13*t - t + 2.
-2*(t - 1)**2*(3*t - 2)
Let k be 33/9 - (-2)/(-3). Let x(w) = -w**3 + 4*w**2 + w - 2. Let j be x(4). Factor -1/3*q**k - q - 1/3 - q**j.
-(q + 1)**3/3
Let l = 81 + -58. Let t = 25 - l. Suppose 3*g**3 - t*g**4 + 0 + 1/2*g**5 - 2*g**2 + 1/2*g = 0. What is g?
0, 1
Let f(v) be the first derivative of -v**3/3 + v**2/2 - 2. Let a(m) = -4*m**2 + 5*m - 1. Let x(k) = -2*a(k) + 9*f(k). Solve x(s) = 0.
-2, 1
Let g(j) = -j**2 + 10*j - 1. Let x be g(9). Let n = x + -6. Factor -w**2 + 2*w**2 - n + 0*w**2 - w.
(w - 2)*(w + 1)
Let v(u) be the first derivative of -2*u**5/15 + 4*u**3/9 - 2*u/3 + 11. Factor v(m).
-2*(m - 1)**2*(m + 1)**2/3
Factor -10*x - 2*x**2 - 20 + 4*x + 16 + 12.
-2*(x - 1)*(x + 4)
Let i(u) = u + u**3 - 2*u**3 + 0*u**3. Let f(k) = -8*k**3 + 8*k. Let p(v) = -3*f(v) + 21*i(v). Solve p(r) = 0 for r.
-1, 0, 1
Let q = 1067 + -1066. Factor -s - q - 1/4*s**2.
-(s + 2)**2/4
Let q(d) = 2*d**3 + d**2 + 2*d + 3. Let w(i) = -i**3 - 1. Suppose 0 = -0*b - b + 1. Let r(n) = b*q(n) + 4*w(n). Factor r(h).
-(h - 1)*(h + 1)*(2*h - 1)
Let y(p) = p + 9. Suppose -8 = 2*n + 4. Let b be y(n). Determine z so that -z**4 + z**b - 5*z**2 + 4*z**2 - 3*z**3 = 0.
-1, 0
Let m(h) be the second derivative of 4*h**2 + 1/6*h**4 + 4/3*h**3 - 3*h + 0. Factor m(w).
2*(w + 2)**2
Let c be 12/(-2160)*(-3)/2. Let i(s) be the second derivative of 0*s**2 - c*s**5 - 1/36*s**3 + 0 + 3*s - 1/36*s**4. Determine q, given that i(q) = 0.
-1, 0
Let h(j) be the second derivative of -j**4/60 - 2*j**3/5 - 18*j**2/5 - 14*j. Suppose h(k) = 0. Calculate k.
-6
Let w be ((-3)/(-3) - -2) + -1. Determine r, given that -2*r**5 - 16*r**3 + 10*r**4 + 4*r**w - 2*r**2 + 6*r**2 + 0*r**2 = 0.
0, 1, 2
Let x = -754 - -20362/27. Let h(n) be the second derivative of -4/9*n**2 + 3*n - 1/54*n**4 + x*n**3 + 0. Solve h(r) = 0.
2
Let a = 17 - 13. Suppose -a*s = -3*s. Factor 1/4 - 1/4*b**2 + s*b.
-(b - 1)*(b + 1)/4
Let m be (-1)/(-4)*4 - -1. Let g(y) be the second derivative of 1/4*y**4 - 2*y + 0 - 9/20*y**5 - 2*y**m + 4/3*y**3. Determine q so that g(q) = 0.
-1, 2/3
What is o in 5*o**2 + 6*o**3 - 7*o**3 - 4*o**2 = 0?
0, 1
Let k(m) be the second derivative of 1/126*m**7 + 0*m**4 + 0*m**2 + 0 + 2/45*m**6 + 1/15*m**5 - 4*m + 0*m**3. Factor k(x).
x**3*(x + 2)**2/3
Let m(r