4/13*z**3 + 2/13*z + 2/13*z**5 - 2/13 = 0.
-1, 1
Determine d so that 16*d**2 - 51*d**3 + 48*d**3 - 15*d + 6 - 4*d**2 = 0.
1, 2
Let r = 110 + -548/5. Let h = 4/27 + 34/135. Factor r*a**3 - 2/5*a**2 + 2/5 - h*a.
2*(a - 1)**2*(a + 1)/5
Let v(y) = -2*y**2 - 3*y. Let x(t) = -t**2 - 6*t + 1. Let w be x(-5). Let g(n) = -10*n**2 - 14*n. Let c(l) = w*g(l) - 28*v(l). Factor c(a).
-4*a**2
Suppose -2*t = -5*y + 114, -2*y + t + 0*t + 46 = 0. Suppose w - y = -5*z, 4 = w + 3*z - 10. Factor 2/3*s**4 + 2/3*s + 0 + 2*s**2 + w*s**3.
2*s*(s + 1)**3/3
Suppose 4*c = 3 + 1. Solve 4*k**4 - c - 7*k**5 - 2*k**4 + 1 = 0.
0, 2/7
Let f = 6 - 4. Determine y, given that -y**f + 6*y - 2 + y - 5*y + y = 0.
1, 2
Let d(o) be the third derivative of -o**9/241920 + o**7/20160 - 2*o**5/15 - 5*o**2. Let p(f) be the third derivative of d(f). Factor p(t).
-t*(t - 1)*(t + 1)/4
Let k(z) = 5*z**4 - 4*z**3 + 3*z**2 + 3*z. Let d(j) = -j**4 - j**2 - j. Let a(s) = 3*d(s) + k(s). Find i, given that a(i) = 0.
0, 2
Let v(a) be the third derivative of a**5/210 - a**4/84 - 2*a**3/21 + a**2. Factor v(o).
2*(o - 2)*(o + 1)/7
Let l(b) = -b**3 + 1. Let w(d) = 2*d**4 + 4*d**3 - d**2 + 3*d - 8. Let y(q) = 21*l(q) + 3*w(q). Factor y(j).
3*(j - 1)**2*(j + 1)*(2*j - 1)
Let o(t) be the first derivative of 2*t**5/5 - 3*t**4/2 + 4*t**3/3 - 42. Solve o(k) = 0.
0, 1, 2
Let m(k) be the first derivative of k**5 + 5*k**4/4 - 5*k**3/3 - 5*k**2/2 + 2. Factor m(q).
5*q*(q - 1)*(q + 1)**2
Let q(p) be the first derivative of -3 + 0*p - 1/15*p**6 + 2/25*p**5 + 0*p**4 + 0*p**2 + 0*p**3. Factor q(m).
-2*m**4*(m - 1)/5
Let h(a) be the second derivative of a**4/36 + a**3/18 - 4*a. Determine v so that h(v) = 0.
-1, 0
Suppose -4*z = 16, 0 = -0*i - 4*i - 4*z. Let g be 3 + -2 + i/4. Solve -4/7*k - 2/7*k**g - 2/7 = 0 for k.
-1
Let r(v) be the first derivative of -2*v - v**3 + 1/5*v**5 + 2 + 1/4*v**4 - 5/2*v**2. Factor r(f).
(f - 2)*(f + 1)**3
Suppose -5*h + 39 = 14. Let z be ((-2)/h)/((-2)/5). Solve -z - 2*y**4 + 2*y**2 + 1 = 0.
-1, 0, 1
Let n(z) = z + 18. Let w be n(-16). Let c = -125 + 627/5. Factor 0 + 6/5*i**w - c*i**3 - 4/5*i.
-2*i*(i - 2)*(i - 1)/5
Let g(b) be the second derivative of 0*b**3 + 0*b**5 - 1/12*b**4 + 0*b**2 + 0 + 1/30*b**6 + 4*b. Factor g(w).
w**2*(w - 1)*(w + 1)
Suppose 3 = 3*c - 12. Factor -3*d**5 + 2*d**4 + 3*d**c + 2*d**5.
2*d**4*(d + 1)
Let x(t) be the third derivative of -t**8/80640 + t**5/20 - t**2. Let j(i) be the third derivative of x(i). Factor j(q).
-q**2/4
Let y(t) be the third derivative of -1/20*t**5 + 0*t**4 - 12/35*t**7 + 0*t + 6*t**2 + 0*t**3 - 9/40*t**6 - 1/7*t**8 + 0. Find j such that y(j) = 0.
-1, -1/4, 0
Let z = -154 - -463/3. Factor -2/3*q + z*q**2 + 1/3.
(q - 1)**2/3
Suppose -2*i + n + 24 = 2*i, -5*i + 3*n = -23. Let j = i - 5. Factor -1/2*h + 1/2*h**j + 0.
h*(h - 1)/2
Let k(i) = -11*i**2 - 11*i + 6. Let l(j) = 4*j**2 + 4*j - 2. Let v(t) = -3*k(t) - 8*l(t). Let v(f) = 0. What is f?
-2, 1
Suppose 0 = -5*h - 15, 4*a + h - 1 - 16 = 0. Find b such that 4*b**4 - 7*b**3 + 7*b**3 - 2*b + 2*b**a - 4*b**2 = 0.
-1, 0, 1
Let y be 23/(-14) + (-6)/12 + 3. Let -4/7 - y*p**2 + 2*p**3 + 10/7*p**4 - 2*p = 0. What is p?
-1, -2/5, 1
Let b(v) = 6*v**4 - 17*v**3 + 37*v**2 - 19*v. Let g(t) = 3*t**4 - 8*t**3 + 19*t**2 - 10*t. Let y(w) = 4*b(w) - 7*g(w). Determine i, given that y(i) = 0.
0, 1, 2
Suppose 0 = 2*q - 2. Let h be (16/(-1 - q))/(-1). Factor 3*y**5 + 2*y**4 + 2 - 2*y + h*y**3 - 4*y**2 - 5*y**5 - 4*y**3.
-2*(y - 1)**3*(y + 1)**2
Solve 46/7*y**3 - 54/7*y**2 - 2*y**4 + 26/7*y - 4/7 = 0.
2/7, 1
Let l(d) be the third derivative of -d**5/100 - d**4/4 + 2*d**2 - 36. Factor l(h).
-3*h*(h + 10)/5
Let q(i) be the third derivative of -33*i**6/8 + 103*i**5/12 - 10*i**3/3 + 19*i**2. What is u in q(u) = 0?
-2/11, 2/9, 1
Let n be -2*(6*-1)/1. Let v = -9 + n. Suppose 0 + 2/5*h - 2/5*h**4 + 6/5*h**v - 6/5*h**2 = 0. What is h?
0, 1
Let k(m) = m**2. Let i(s) = 2*s**2 - s. Suppose 0 = 5*z - 10*z + 5*h + 15, -18 = -5*z + 2*h. Let f(q) = z*k(q) - i(q). Let f(p) = 0. Calculate p.
-1/2, 0
Suppose -6 = -6*n + 3*n. Suppose 2/3*o**4 + 0 + 0*o**n - 4/3*o**3 + 0*o = 0. What is o?
0, 2
Suppose 2/5*i + 0 + 0*i**3 - 1/5*i**4 + 3/5*i**2 = 0. What is i?
-1, 0, 2
Determine m, given that -1/5*m**3 + 1/5*m - 2/5*m**2 + 2/5 = 0.
-2, -1, 1
Solve -4*z**4 + 44*z**3 - 139*z**2 + 72*z + 256 + 17*z**2 - 8*z - 22*z**2 = 0.
-1, 4
Let n be ((-65)/20 - 1/(-4))/(-1). Suppose -6*j + 15/4*j**2 + 3 - 3/4*j**n = 0. What is j?
1, 2
Let l = 85/9 + -523/63. Let l - 162/7*y**4 + 22*y**2 + 72/7*y**3 - 72/7*y = 0. What is y?
-1, 2/9, 1
Let d be (3 - 1) + 7/(-4). Let u = d + 1/4. Suppose u + 3/4*g + 1/4*g**2 = 0. What is g?
-2, -1
Let i(k) be the first derivative of k**4/24 - k**3/6 + k**2/4 - k/6 - 17. Suppose i(m) = 0. Calculate m.
1
Find y such that 0 + 1/5*y**4 + 0*y - 1/5*y**2 + 0*y**3 = 0.
-1, 0, 1
Factor 21/5*d + 0*d**2 - 3/5*d**3 - 18/5.
-3*(d - 2)*(d - 1)*(d + 3)/5
Let l = 2 + 0. Suppose o - l*i = -4, 0*o + i = o. Factor 2*f**4 - f**3 + f - f**4 - f**2 + 0*f**o + 0*f**4.
f*(f - 1)**2*(f + 1)
Let r(w) be the first derivative of 2*w**3 + w - 4 - 2*w**2 - w**4 + 1/5*w**5. Factor r(d).
(d - 1)**4
Let c(f) = f + 18. Let j be c(-18). Let w(g) be the first derivative of j*g + 2*g**2 - 2*g**3 - 4 + 1/2*g**4. What is i in w(i) = 0?
0, 1, 2
Let p(c) be the first derivative of -3 + 0*c + 1/4*c**2 + 0*c**3 - 1/8*c**4. Factor p(s).
-s*(s - 1)*(s + 1)/2
Let j be (6/1260)/(3*1). Let v(f) be the third derivative of -4*f**2 - j*f**7 + 0*f**3 - 1/120*f**6 - 1/60*f**5 + 0*f + 0 - 1/72*f**4. Factor v(l).
-l*(l + 1)**3/3
Let k(c) be the third derivative of -c**8/896 + 3*c**7/560 - c**5/40 + 4*c**2. Find i such that k(i) = 0.
-1, 0, 2
Let f(j) be the first derivative of -1/10*j**5 - 1/6*j**4 + 0*j**2 + 0*j**3 + 2 - 2*j. Let a(z) be the first derivative of f(z). Solve a(s) = 0.
-1, 0
Let m(o) be the first derivative of -o**6/6 - o**5/5 + o**4/2 + 2*o**3/3 - o**2/2 - o + 3. What is p in m(p) = 0?
-1, 1
Let q(s) = s. Suppose o - 5*a + 6 + 9 = 0, 4*a = -4*o + 12. Let d be q(o). Factor d - 4 + 6 - 2*g**2.
-2*(g - 1)*(g + 1)
Let f(o) be the third derivative of -o**9/7560 + o**8/1400 - o**7/1050 - 2*o**3/3 - 5*o**2. Let v(k) be the first derivative of f(k). Factor v(h).
-2*h**3*(h - 2)*(h - 1)/5
Let n(c) be the third derivative of c**6/540 - c**5/45 + c**4/12 + 5*c**3/6 + 4*c**2. Let p(u) be the first derivative of n(u). Factor p(z).
2*(z - 3)*(z - 1)/3
Let g = 223/270 - 9/10. Let l = 16/27 - g. Factor 2/3*u - 2/9 + l*u**4 - 4/9*u**3 - 4/9*u**2 - 2/9*u**5.
-2*(u - 1)**4*(u + 1)/9
Let i(b) be the first derivative of 98*b**6/3 - 504*b**5/5 + 109*b**4 - 48*b**3 + 8*b**2 + 3. Factor i(k).
4*k*(k - 1)**2*(7*k - 2)**2
Let r = 208/51 + 10/17. Solve 10/3*p**3 + 4/3 - 6*p**2 - 10/3*p + r*p**4 = 0.
-1, 2/7, 1
Let q(y) be the third derivative of y**5/45 - y**4/18 - 6*y**2. Solve q(n) = 0 for n.
0, 1
Let m(k) be the second derivative of k**6/60 + k**5/80 - k**4/48 - 5*k. Factor m(n).
n**2*(n + 1)*(2*n - 1)/4
Let i(j) be the second derivative of -j**4/3 - 3*j**3/2 - j**2 + 18*j. Factor i(s).
-(s + 2)*(4*s + 1)
Let n = 4/11 + -21/88. Let u(o) be the first derivative of -1/10*o**5 + 0*o - n*o**4 + 0*o**2 + 0*o**3 - 3. Factor u(k).
-k**3*(k + 1)/2
Suppose -27 + 3 = -3*m. Let i = m - 3. Factor -2*y**2 + 2*y**i + y**4 + 2*y**3 + 1 - 3*y**5 - y + 0*y**2.
-(y - 1)**3*(y + 1)**2
Suppose 1/3*h**5 + 0*h**2 - 2/3*h**3 + 0*h**4 + 1/3*h + 0 = 0. What is h?
-1, 0, 1
Let v = 11 - 7. Factor -8*g**v - 7*g**5 + 10*g**3 - 3*g**2 + 9*g**5 - g**2.
2*g**2*(g - 2)*(g - 1)**2
Let p be (-9)/(-3) + (-141)/48. Let g(t) be the third derivative of 1/40*t**7 - 3*t**2 + 11/80*t**5 + 0 - 1/10*t**6 + 0*t**3 - p*t**4 + 0*t. Factor g(i).
3*i*(i - 1)**2*(7*i - 2)/4
Suppose 2*h - 5*v + 17 = 0, 11 = 5*h - v - 4. Suppose 0 = h*x - 4*b - 8, -5*x - b + 0 = -10. Solve 0 + 4/5*w**x - 14/5*w**3 + 0*w = 0.
0, 2/7
Let j be 4 + 0 + 6/9 + -4. Determine d, given that 2*d**4 + j*d**5 - 2*d**2 + 2/3*d**3 + 0 - 4/3*d = 0.
-2, -1, 0, 1
Let h be (2/(-45))/(27/(-45)). Let t(p) be the first derivative of 2/45*p**5 + 0*p + 1/18*p**4 + 1 - h*p**3 + 0*p**2 - 1/27*p**6. Factor t(b).
-2*b**2*(b - 1)**2*(b + 1)/9
Suppose 3*h - 4 = 5. Let h*d**2 - d**3 + 1 - d**2 - 3*d + d**2 = 0. Calculate d.
1
Let x(o) be the first derivative of -o**5/70 - o**4