25*k**5 - o*k**6 + 2*k. Factor r(w).
2*(w - 1)**4*(w + 1)/5
Let k = 517/6 - 86. Let c(j) be the first derivative of -k*j**6 + 2/3*j**3 + 1/2*j**4 - 1/2*j**2 - 1/5*j**5 - j - 1. Factor c(s).
-(s - 1)**2*(s + 1)**3
Let u be (12 + -10)/(2 + 7). Determine q, given that 2/9*q + u*q**2 + 0 = 0.
-1, 0
Let k = -393 + 397. Let 2*o - 2/3 + 2*o**k - 2/3*o**5 - 4/3*o**2 - 4/3*o**3 = 0. What is o?
-1, 1
Let r(y) = -6*y + 2*y**2 - 12 - 7*y - y + 0*y. Let j(s) = s + 1. Let x(a) = -12*j(a) - r(a). Find k such that x(k) = 0.
0, 1
Let g = 15 - 8. Let y(q) = q**3 - 8*q**2 + 8*q - 5. Let z be y(g). Solve -2/5*c**3 - 2/5*c**z + 2/5 + 2/5*c = 0.
-1, 1
Let g(c) be the third derivative of -c**7/1575 + c**6/225 - 2*c**5/225 - 3*c**2. Factor g(w).
-2*w**2*(w - 2)**2/15
Let l = 136/5 - 27. Let y(f) be the first derivative of 1 + 0*f**3 + 0*f + 2/25*f**5 + l*f**4 + 0*f**2. Find b, given that y(b) = 0.
-2, 0
Suppose 2*i + 18 = 5*y, -i - 15 = -3*y - y. Let d(q) be the second derivative of -2*q - 1/18*q**3 - 1/36*q**y + 0 + 1/6*q**2 + 1/60*q**5. Factor d(n).
(n - 1)**2*(n + 1)/3
Let o(q) be the first derivative of q**4/3 - 4*q**3/3 + 2*q**2 - 7*q - 8. Let y(b) be the first derivative of o(b). Factor y(n).
4*(n - 1)**2
Let f = 15 + -17. Let x be (f - -6)*(-2)/(-4). Factor -2/7 + 0*q + 0*q**3 + 4/7*q**x - 2/7*q**4.
-2*(q - 1)**2*(q + 1)**2/7
Let m = -1457/6 - -244. Let i = m - 5/6. Let 0*c - i*c**2 + 1/3*c**3 + 0 = 0. What is c?
0, 1
Let d(p) be the first derivative of 0*p - 3 + p**2 - 2/3*p**3. Determine a so that d(a) = 0.
0, 1
Let u(t) = t**2 - t - 6. Let c be u(-4). Let y be 20/c - 28/(-49). Suppose 2/11*i**y + 0 + 2/11*i = 0. What is i?
-1, 0
Let x(y) = -5*y**4 - 7*y**3 - 6*y + 6. Let v = 19 + -52. Let h be (-6)/v + 53/11. Let m(z) = 4*z**4 + 6*z**3 + 5*z - 5. Let n(d) = h*x(d) + 6*m(d). Factor n(s).
-s**3*(s - 1)
Let d be 38 + 4 + -1 - 1. What is c in -38*c - 2*c**3 + d*c + 0*c**3 = 0?
-1, 0, 1
Let w = -15/7 - -451/210. Let p(j) be the third derivative of 0 - w*j**5 + 0*j**6 - 4*j**2 + 1/735*j**7 + 0*j**3 + 0*j**4 + 0*j. Factor p(i).
2*i**2*(i - 1)*(i + 1)/7
Let q = 9 - 21. Let v be 2/q + (-1)/(-6). Find c, given that 1/4 + 1/4*c**4 + v*c**3 + 0*c - 1/2*c**2 = 0.
-1, 1
Let a(n) be the third derivative of -3*n**2 + 0 + 1/18*n**3 + 0*n + 1/360*n**6 + 1/60*n**5 + 1/24*n**4. Find g such that a(g) = 0.
-1
Factor 8*c + c**3 - 99*c**2 + 79*c**2 - 29*c**3.
-4*c*(c + 1)*(7*c - 2)
Let d = -5 - -11. Let c(w) = -w**2 + 7*w - 1. Let h be c(d). Factor 0*a - 3*a**2 - 4*a**3 + 0*a + h*a**2 + 2*a**4.
2*a**2*(a - 1)**2
Let y(u) = 1. Let f(s) = s**3 - 9*s**2 + 6. Let l(a) = -f(a) + 6*y(a). Factor l(j).
-j**2*(j - 9)
Let m(q) be the third derivative of q**6/40 - 2*q**5/5 + 2*q**4 - 31*q**2. Factor m(c).
3*c*(c - 4)**2
Let k(d) be the second derivative of -3*d**5/20 + d**4/2 + d**3/2 - 3*d**2 + 4*d. Factor k(i).
-3*(i - 2)*(i - 1)*(i + 1)
Suppose -29 = 15*w - 14*w. Let a = 35 + w. Determine x, given that a*x**2 - 18*x - 2/3*x**3 + 18 = 0.
3
Let t(w) = w + 2. Let z be 1 - (0 + 2 + -1). Let b be t(z). Factor 2*c**3 - c**4 + 2*c**4 + 0*c**b + c**2.
c**2*(c + 1)**2
Let n(l) be the second derivative of 0 + 0*l**2 + 2/5*l**5 - 2/9*l**3 + l - 7/45*l**6 - 1/6*l**4. Solve n(v) = 0.
-2/7, 0, 1
Let n(r) be the second derivative of -6*r + 1/30*r**4 + 1/10*r**3 - 1/50*r**6 + 1/10*r**2 - 1/50*r**5 + 0 - 1/210*r**7. Factor n(s).
-(s - 1)*(s + 1)**4/5
Let m(i) be the second derivative of -1/3*i**2 + i - 2/9*i**3 + 0 - 1/18*i**4. Factor m(y).
-2*(y + 1)**2/3
Let x(f) be the second derivative of f**4 + 20*f**3/3 + 6*f**2 + f. What is h in x(h) = 0?
-3, -1/3
Let d be 5 + (-5 - (-4)/18). Factor 0*p - 2/3*p**4 - 2/3*p**3 - 2/9*p**2 + 0 - d*p**5.
-2*p**2*(p + 1)**3/9
What is s in -48*s + 453/2*s**3 - 345/2*s**4 + 75/2*s**5 - 6 - 75/2*s**2 = 0?
-1/5, 1, 2
Let r(z) = -3*z**5 + 2*z**4 + 3*z**3 - 2*z**2. Let u(n) = -7*n**5 + 4*n**4 + 7*n**3 - 4*n**2. Let t(a) = 7*r(a) - 4*u(a). Factor t(k).
k**2*(k - 1)*(k + 1)*(7*k - 2)
Let q = -28/3 + 577/66. Let r = -1/11 - q. Factor -1/2*s**3 + 0*s**2 + r*s + 0.
-s*(s - 1)*(s + 1)/2
Let r(i) be the second derivative of -i**6/10 - 3*i**5/20 + 3*i**4/4 + 5*i**3/2 + 3*i**2 + 11*i. Find u, given that r(u) = 0.
-1, 2
Let y(a) be the second derivative of -1/3*a**3 + 0 + 1/6*a**4 + 3*a - 2*a**2. Factor y(s).
2*(s - 2)*(s + 1)
Suppose -3*o - 3*j + 4 = -2*j, 2*o + 3*j - 12 = 0. Let t = 195 - 195. Factor o + 4/13*s**2 + t*s + 2/13*s**3.
2*s**2*(s + 2)/13
Let d(t) be the first derivative of t**8/3360 - t**6/360 + t**4/48 + t**3/3 - 5. Let w(g) be the third derivative of d(g). Factor w(j).
(j - 1)**2*(j + 1)**2/2
Let v(f) = -2*f + 21. Let m be v(9). Suppose -1/3 - o**4 - 10/3*o**m - 2*o - 4*o**2 = 0. What is o?
-1, -1/3
Let y = -35999/33 - -1091. Let k(x) be the first derivative of 0*x**4 + 5 + 2/55*x**5 + 0*x**2 + 2/11*x - y*x**3. Determine h so that k(h) = 0.
-1, 1
Suppose -5*s + 5*f + 1 = 6, -f - 7 = -3*s. Let -4*b**4 + 5*b**3 - 3*b**3 + 0*b**s - 2*b**5 + 4*b**5 = 0. What is b?
0, 1
Let g(j) be the first derivative of -2*j**6/3 - 4*j**5 - 9*j**4 - 28*j**3/3 - 4*j**2 + 4. Suppose g(a) = 0. What is a?
-2, -1, 0
Suppose 5*j = 8 - 3. Suppose j + 2 = n. What is f in 2*f**n - 5*f + 5*f + 2*f**4 = 0?
-1, 0
Let g = 9/160 - -53/480. Solve 0*c - g*c**4 + 0*c**2 + 0 + 1/3*c**3 = 0.
0, 2
Let p(q) = 3*q - 12. Let c be p(4). Factor -1/2 + c*y + 1/2*y**2.
(y - 1)*(y + 1)/2
Suppose -4*d = -2 - 38. Suppose -2 = -4*r + d. Let 6/5*v**4 - 2/5*v**5 - 6/5*v**r + 2/5*v**2 + 0*v + 0 = 0. Calculate v.
0, 1
Let c = -6/11 + 107/55. Factor d**2 + c*d + 2/5.
(d + 1)*(5*d + 2)/5
Solve -4*j**2 + 11*j**3 + 2*j**2 - 12*j**3 + 3*j**3 = 0.
0, 1
Let l(z) = -6*z**4 + 6*z**2 + 8*z. Let f(x) = -2*x**4 + 2*x**2 + 3*x. Let i(k) = -8*f(k) + 3*l(k). Suppose i(w) = 0. Calculate w.
-1, 0, 1
Let a(g) = -3*g**5 - 4*g**4 + 6*g**3 - 8*g**2 + g + 4. Let m(q) = -2*q**5 - 4*q**4 + 6*q**3 - 7*q**2 + q + 3. Let o(c) = -3*a(c) + 4*m(c). Factor o(n).
n*(n - 1)**4
Let 1/4*s**4 + 0 - 1/4*s + 1/8*s**2 + 5/8*s**3 = 0. What is s?
-2, -1, 0, 1/2
Let a(u) be the first derivative of -2*u**5/15 - 5*u**4/9 - 14*u**3/27 + 4*u**2/9 + 8*u/9 - 56. Let a(q) = 0. Calculate q.
-2, -1, 2/3
Let t(h) be the third derivative of -h**6/480 - h**5/48 - 7*h**4/96 - h**3/8 - 8*h**2. Factor t(v).
-(v + 1)**2*(v + 3)/4
Let x = -4 - -6. Let u(d) be the second derivative of 1/8*d**2 + 1/168*d**7 - 1/40*d**6 + 1/40*d**5 - x*d + 0 + 1/24*d**4 - 1/8*d**3. Factor u(r).
(r - 1)**4*(r + 1)/4
Let w be (-6)/(-15) + 72/(-330). Let w*t**2 + 8/11 - 8/11*t = 0. What is t?
2
Factor 3*x**2 + 63 - 63 + 3*x.
3*x*(x + 1)
Suppose -5*a + 9 = y + 14, 20 = 3*a - 4*y. Let 2/7*b**3 + a - 4/7*b**2 + 2/7*b = 0. Calculate b.
0, 1
Find f such that -6*f**3 - 11*f**2 + 7*f**2 + 3*f**4 - 12 - 5*f**2 + 24*f = 0.
-2, 1, 2
Let i be 4*1 + (-42)/12. Factor -i*l**2 + 0 - 1/2*l.
-l*(l + 1)/2
Let g(c) be the third derivative of -c**6/180 - c**5/90 - c**4/144 - c**2. Factor g(x).
-x*(2*x + 1)**2/6
Suppose -3*t - 3*q = -21, -t + q - 3 = -0. Let r(y) be the second derivative of -y + 0 - 1/4*y**3 - 1/4*y**t + 3/40*y**5 - 1/24*y**4 + 1/30*y**6. Factor r(o).
(o - 1)*(o + 1)**2*(2*o + 1)/2
Suppose -p + p + 2*p**3 + 16*p**4 - 7*p**5 - 6*p**3 = 0. Calculate p.
0, 2/7, 2
Let m(u) be the first derivative of 2*u**7/525 + u**6/300 - u**5/150 + u**2/2 - 3. Let q(k) be the second derivative of m(k). Find x such that q(x) = 0.
-1, 0, 1/2
Let o(l) be the third derivative of -3/160*l**6 + 0*l**3 - 1/1344*l**8 + 1/168*l**7 + 0*l - 1/48*l**4 + 4*l**2 + 0 + 7/240*l**5. Factor o(q).
-q*(q - 2)*(q - 1)**3/4
Let a be -1 - (0 - (9 - 3)). Factor -32*w - 8 - 50*w**2 - 14*w**4 - 23*w**3 - 7*w**a + 5*w**5 - 15*w**3.
-2*(w + 1)**3*(w + 2)**2
Let h = -3 - -6. Let 2*i**4 + 6*i**2 - 14*i**h - 18*i - 22*i + 30*i**2 + 4 + 12 = 0. What is i?
1, 2
Suppose 5*p = -13*v + 11*v + 11, -5*p - v + 13 = 0. Suppose 2/3*g**4 + 0 + 0*g**p + 0*g**2 + 0*g = 0. What is g?
0
Let a(n) = 4*n - 65. Let x be a(17). Let c(t) be the first derivative of 0*t - 1/2*t**4 + x + t**2 + 2/5*t**5 - 2/3*t**3. Determine w, given that c(w) = 0.
-1, 0, 1
Determine m, given that 3/2*m - 1 - 1/2*m**2 = 0.
1, 2
Let w be -1 - ((-471)/(-2))/3. Let y = w + 82. Factor y*n**2 - 1/4*n**5 - 5/2*n**3 - 5/4*n + 1/4 + 5/4*n**4.
-(n - 1)**5/4
Suppose c = -4*a + 17, 5*c - 7 - 126 = -4*a.