the second derivative of s**6/135 - s**4/27 + s**2/9 - 13*s. Determine t so that u(t) = 0.
-1, 1
Let d = 24 + -22. Factor d*s**2 - 25*s + 23*s + 0*s**2.
2*s*(s - 1)
Let g(b) = 7*b**2 + 0*b + 5 + 4*b + b. Let a(u) = -u - 4. Let h be a(1). Let k(t) = t**2 + t + 1. Let f(o) = h*k(o) + g(o). What is d in f(d) = 0?
0
Determine w so that 2/11*w**3 - 6/11*w**5 + 0*w - 4/11*w**4 + 0*w**2 + 0 = 0.
-1, 0, 1/3
Let c(s) be the first derivative of -s**6/120 + 7*s**5/120 - s**4/12 + s**3/3 - 5. Let k(u) be the third derivative of c(u). Suppose k(i) = 0. Calculate i.
1/3, 2
Suppose -5 = -g - 0. Let j = g - 2. Find y such that 2*y**3 + 0*y**3 - 3*y**j = 0.
0
Let m(n) be the first derivative of 1/30*n**6 + 0*n**3 + 3 - 1/20*n**4 + 0*n + 0*n**5 + 0*n**2. Factor m(v).
v**3*(v - 1)*(v + 1)/5
Let g be ((-24)/21)/(-4) - (-52)/14. Let t(y) be the second derivative of -1/6*y**3 + 0*y**2 + 1/6*y**g + 3*y + 0 - 1/20*y**5. Factor t(u).
-u*(u - 1)**2
Factor 0 - 8/9*s**2 + 2/9*s + 4/3*s**3 + 2/9*s**5 - 8/9*s**4.
2*s*(s - 1)**4/9
Suppose 12 = -4*d - 4*h - 0*h, -23 = d + 5*h. Let b be (d - 2/(-2)) + 3. Factor 2*q**2 + q**2 - 2*q**2 - b*q + 4 + q**2.
2*(q - 2)*(q - 1)
Let i(g) be the second derivative of -g**5/160 - g**4/6 - 4*g**3/3 + 6*g. What is t in i(t) = 0?
-8, 0
Let t(r) = 9*r**5 + 17*r**4 - 26*r**3 - 17*r**2 + 17*r. Let b(d) = 3*d**5 + 6*d**4 - 9*d**3 - 6*d**2 + 6*d. Let h(m) = 17*b(m) - 6*t(m). Solve h(s) = 0 for s.
-1, 0, 1
Let r = -104 + 521/5. Factor r*b**3 - 1/5 + 1/5*b**2 - 1/5*b.
(b - 1)*(b + 1)**2/5
Let g(f) be the first derivative of -1/3*f + 1/3*f**2 + 0*f**3 + 1/15*f**5 + 1 - 1/6*f**4. Factor g(i).
(i - 1)**3*(i + 1)/3
Let n(d) be the second derivative of d**8/11200 - d**7/840 + d**6/150 - d**5/50 + d**4/6 + 5*d. Let q(x) be the third derivative of n(x). Factor q(u).
3*(u - 2)**2*(u - 1)/5
Suppose -5*w = -8*w + 15. Let v**2 + 0 - v**4 + 1/2*v - 1/2*v**w + 0*v**3 = 0. What is v?
-1, 0, 1
Solve 33/4*p - 105/4*p**2 - 3/4 + 75/4*p**3 = 0.
1/5, 1
Let w = -2 + 16. Factor w*b**2 + 2*b**2 + 3 - 2 + 0 + 8*b.
(4*b + 1)**2
Let z be 4/(-18) + (-46)/(-45). Determine a, given that z*a + 2/5 + 2/5*a**2 = 0.
-1
Let c(y) be the second derivative of y**4/60 + y**3/30 - 11*y. Solve c(q) = 0 for q.
-1, 0
Determine r, given that 4*r**4 + 898 - 898 + 2*r**3 - 4*r**2 - 2*r**5 = 0.
-1, 0, 1, 2
Let a(g) be the first derivative of -1/2*g**3 + 3/8*g**4 + 0*g - 4 - 1/10*g**5 + 1/4*g**2. Factor a(h).
-h*(h - 1)**3/2
Let m(y) = -2*y**2 + 8*y + 10. Let b be m(5). Let k(x) be the first derivative of 0*x**3 - x**2 + 0*x**5 + b*x - 1/3*x**6 - 3 + x**4. Solve k(d) = 0 for d.
-1, 0, 1
Let f(j) = -25*j**2 + 108*j + 4*j**2 + 6*j**2 - 189 - 24*j**2. Let s(c) = 11*c**2 - 31*c + 54. Let m(t) = 5*f(t) + 18*s(t). Factor m(y).
3*(y - 3)**2
Let o(z) be the first derivative of -3/13*z**2 - 2/39*z**3 - 4/13*z + 1. Let o(l) = 0. Calculate l.
-2, -1
Let s(n) be the first derivative of -3*n**5/25 - 3*n**4/10 + 3*n**2/5 + 3*n/5 - 33. Suppose s(v) = 0. What is v?
-1, 1
Let k(x) be the second derivative of x**9/45360 + x**8/10080 - x**6/1080 - x**5/360 + x**4/12 - 3*x. Let j(u) be the third derivative of k(u). Factor j(q).
(q - 1)*(q + 1)**3/3
Factor 0*v**2 + 10*v - 5*v**2 - 2*v + 2*v - 5*v**3.
-5*v*(v - 1)*(v + 2)
Let g(w) be the first derivative of 0*w**2 + 4/3*w**3 - 2/5*w**5 - 2*w + 5 + 0*w**4. Solve g(b) = 0 for b.
-1, 1
Let y(k) be the third derivative of k**7/560 - k**6/80 + 3*k**5/80 - k**4/16 + k**3/16 - 10*k**2. Let y(o) = 0. What is o?
1
Find n such that -4/3 - 1/3*n**3 + 1/3*n + 4/3*n**2 = 0.
-1, 1, 4
Let q = 114333/4196 + 2/1049. Let x = q + -27. Suppose -x*s + 1/2*s**2 - 1/4*s**3 + 0 = 0. What is s?
0, 1
Factor 0 - 20*k - 5 - 10 + 80*k**2 - 85*k**2.
-5*(k + 1)*(k + 3)
Let r be (-43)/(-60) - (-3 + 44/12). Let b(h) be the third derivative of 0*h + 0 + h**3 - 3*h**2 - 3/8*h**4 + r*h**5. Suppose b(k) = 0. What is k?
1, 2
Let a(k) be the second derivative of k**4/6 + 2*k**3/3 + 10*k. Solve a(v) = 0.
-2, 0
Suppose 4*w + 4*q = 4, -w + 0*q + 11 = -4*q. Suppose 4 = 4*x - 12. Factor -x*s**3 - 10*s**2 + w*s**2 - s + 1 - s.
-(s + 1)**2*(4*s - 1)
Let z(x) = x**2 + 8*x - 18. Let t be z(-10). Determine y so that -2/3*y**3 + 2/3*y**t + 2/3*y - 2/3 = 0.
-1, 1
Factor -2 + 1/3*y**2 - 1/3*y.
(y - 3)*(y + 2)/3
Let i be ((-16)/(-1))/((-12)/40). Let n = i + 54. Determine t so that 0 - n*t**2 + 4/3*t = 0.
0, 2
Let l(x) be the third derivative of -5*x**5/18 - 5*x**4/36 - x**3/36 + 8*x**2. Factor l(m).
-(10*m + 1)**2/6
Find n, given that 1/3*n**2 + 0 + 1/3*n**3 - 1/3*n - 1/3*n**4 = 0.
-1, 0, 1
Let p(l) be the second derivative of -l**4/30 + l**3/15 + 2*l**2/5 + 24*l. Find n such that p(n) = 0.
-1, 2
Let w = -12 + -1. Let b be w/(-2) - (2 - 2). Factor 1 + 2*h**3 + 11/2*h + b*h**2.
(h + 1)*(h + 2)*(4*h + 1)/2
Let u(g) = g**3 - 8*g**2. Let z be u(8). Let o be 7 - (-3 + z)*1. Factor o*d**4 + 32*d**4 + 46*d**5 - 4*d**3 - 8*d**2 - d**5.
d**2*(3*d + 2)**2*(5*d - 2)
Let h(x) be the second derivative of 0 - 1/2*x**2 - 5/6*x**3 - 3/20*x**5 - 7/12*x**4 - 3*x. Let h(w) = 0. Calculate w.
-1, -1/3
Let m(t) be the first derivative of 4 + 3*t**3 + 9*t**2 - 6*t**3 + 2*t**3 - 27*t. Factor m(j).
-3*(j - 3)**2
Factor 4/7 + 4/7*n**2 - 10/7*n + 8/7*n**3 + 2/7*n**5 - 8/7*n**4.
2*(n - 2)*(n - 1)**3*(n + 1)/7
Let a(j) = j**2 + 3*j + 2. Let v be a(-2). Let r be (-10)/15*(-6)/2. Find w, given that -3*w + v*w - w + 2*w**r = 0.
0, 2
Let w = 1001 - 2001/2. Let m(l) = -l + 9. Let f be m(6). Determine d so that 1/2*d**f + 1/2*d**4 + 0 - w*d**2 - 1/2*d = 0.
-1, 0, 1
Let g be (-1094)/42 - (0 - 3). Let v = g + 180/7. Let -10*j**3 - 8*j**2 + 100/3*j**4 + v*j + 0 = 0. Calculate j.
-1/2, 0, 2/5
Let o(x) = -x**3 - 4*x**2 - x + 1. Let z be o(-4). Solve -4*d**2 - 4*d + z - 2 + 7 - 2 = 0.
-2, 1
Let o(d) = d**2 + 23*d - 50. Let x be o(-25). Determine p, given that 0*p**3 + 3/5*p**4 + 0*p - 3/5*p**2 + x = 0.
-1, 0, 1
Let n(v) be the third derivative of -v**9/120960 + v**7/10080 + v**5/30 + 3*v**2. Let d(m) be the third derivative of n(m). Determine p so that d(p) = 0.
-1, 0, 1
Factor 3*h**5 - 42*h**2 - 32*h + 13 - 18*h**3 + 3*h**4 - h - 22.
3*(h - 3)*(h + 1)**4
Let m = -1 + 1. Find w, given that 1/4*w**5 + m*w - 1/4*w**3 + 1/4*w**4 + 0 - 1/4*w**2 = 0.
-1, 0, 1
Let a(p) be the first derivative of 1 + 1/9*p**6 + 0*p + 0*p**2 + 0*p**5 + 0*p**3 - 1/6*p**4. Factor a(f).
2*f**3*(f - 1)*(f + 1)/3
Let s(d) = -d**3 + 3*d**2 + 6*d - 4. Let v be s(4). Suppose v*y - 7 = -3*i, 4*i - 4*y = y - 1. Let 4*j - 1 + 0 - i - 2*j**2 = 0. Calculate j.
1
Let u be ((-4)/(-2 + 4))/(-2). Suppose k - 9 - u = 0. Let -8*f**3 + 2*f**4 - 8*f - 2 - k*f**2 - 2*f**2 - 4*f**4 = 0. What is f?
-1
Let f(m) = 3*m + 12*m**4 + 11*m**3 - 7*m + 3*m**2 + m**2. Let i(r) = 3*r**4 + 3*r**3 + r**2 - r. Let h(u) = -2*f(u) + 9*i(u). Let h(g) = 0. What is g?
-1, 0, 1/3
Let r = 11/30 + 2/15. Suppose -k - 1/2 - r*k**2 = 0. Calculate k.
-1
Let z(i) be the second derivative of -i**8/1680 + i**7/1050 - 2*i**2 - 4*i. Let d(c) be the first derivative of z(c). Factor d(n).
-n**4*(n - 1)/5
Let k be ((-25)/(-15))/(1/(-3)). Let v = 8 + k. Factor -2 + v*m + 4*m - 6*m + m**2.
(m - 1)*(m + 2)
Let z = 11351713/195107 + -3/17737. Determine o so that -4/11*o + 104/11*o**3 - z*o**5 + 96/11*o**4 - 6/11*o**2 + 0 = 0.
-1/4, 0, 1/4, 2/5
Let -1/2*b**2 + 1/2*b + 0 = 0. What is b?
0, 1
Suppose 0*u = 4*u + 3*u. Factor u - 1/4*r + 2*r**2 - 4*r**3.
-r*(4*r - 1)**2/4
Let n be -4*(2/(-18))/(18/27). Let z(u) be the second derivative of -1/18*u**4 + 0 + u - 1/3*u**3 - n*u**2. Suppose z(v) = 0. Calculate v.
-2, -1
Let k be 4/2 + 61 - -1. Solve -4*b + 26*b**2 + k*b**4 - 62*b**3 + 2 - 24*b**5 - 2 = 0 for b.
0, 1/2, 2/3, 1
Factor 0*c**3 - 2/11 + 4/11*c**2 - 2/11*c**4 + 0*c.
-2*(c - 1)**2*(c + 1)**2/11
Suppose -10 = -3*y - 2*y. Suppose 2*s + y*s - 12 = 0. Factor v + 1 - v**2 - 2 + s.
-(v - 2)*(v + 1)
Let x(o) = 4*o**3 + 4*o**2 + 8*o + 8. Let i(b) = -b**3 - b**2 - b - 1. Let m(k) = 6*i(k) + x(k). Solve m(l) = 0 for l.
-1, 1
Let x = -13 + 27/2. Suppose z + 3*z - 8 = 0. Factor x - w + 1/2*w**z.
(w - 1)**2/2
Let o(g) be the third derivative of 0*g**3 - 7*g**2 + 0*g + 1/150*g**5 - 1/120*g**4 - 1/600*g**6 + 0. Factor o(j).
-j*(j - 1)**2/5
Let v(o) be the third derivative of o**5/20 + 3*o**4/8 + o**3 - 4*o**2. Factor v(j).
3*(j + 1)*(j + 2)
Let z(m) = 