/16*i**4 + m*i + 0 + 1/2*i**3 + 1/40*i**5 - 2*i**2. Factor z(b).
3*(b - 2)*(b - 1)/2
Factor 0 - 4/3*k**2 - 4/3*k**3 + 4/3*k**4 + 4/3*k.
4*k*(k - 1)**2*(k + 1)/3
Let w be 6*(-40)/60 + 13/(-6)*-2. Let v be (0 + -1 + -2)*-1. Factor 1/3*n + 0 - 1/3*n**v + w*n**4 - 1/3*n**2.
n*(n - 1)**2*(n + 1)/3
Suppose -2*h + 10 = 6. Suppose 0 = -h*c - c. Solve -4*r + r**2 - 5*r**2 + 4*r**3 + 4 + 0*r + c*r = 0.
-1, 1
Let t(d) = -25*d**3 - 25*d**2 - 35*d - 35. Let c be (-2)/(-3)*(-27)/(-18). Let z(y) = -y**3 - y**2 - y - 1. Let f(b) = c*t(b) - 30*z(b). Solve f(u) = 0 for u.
-1, 1
Let p(v) be the third derivative of v**6/100 + 29*v**5/150 + 11*v**4/36 + v**3/5 + v**2 + 292. Factor p(c).
2*(c + 9)*(3*c + 1)**2/15
Let g = -96 - -96. Let b(p) be the third derivative of 0*p**3 + 0*p - 1/20*p**5 - 4*p**2 - 1/8*p**4 + g. Factor b(d).
-3*d*(d + 1)
Let i(m) be the first derivative of m**6/30 - 4*m**5/15 + m**4/2 + m**2 - 19. Let v(z) be the second derivative of i(z). Solve v(c) = 0 for c.
0, 1, 3
Let p(g) be the third derivative of g**7/350 - 3*g**5/50 + g**4/5 - 3*g**3/10 - 162*g**2. Suppose p(h) = 0. Calculate h.
-3, 1
Let s(d) = -d**3 + d. Let w = 3 - 5. Let l be s(w). Let -3*i - 3*i**2 + 0*i**3 - i + l*i**3 + 3*i**4 - 2*i = 0. Calculate i.
-2, -1, 0, 1
Let q(f) = 21*f**3 + 20*f**2 - 20*f. Let x(v) = -22*v**3 - 20*v**2 + 20*v. Let d = 27 + -20. Let h(t) = d*q(t) + 6*x(t). Factor h(n).
5*n*(n + 2)*(3*n - 2)
Let c be (-4)/80*-12*8/12. Let k = 6 + -4. Let 0 + c*u**k - 2/5*u**3 + 0*u = 0. What is u?
0, 1
Suppose -y + 289 = 16*y. Suppose y*u = 7*u. Factor u - 2/7*z**2 + 6/7*z**3 + 0*z - 6/7*z**4 + 2/7*z**5.
2*z**2*(z - 1)**3/7
Let q(b) = -1. Let y(i) = -7*i**2 - 2*i - 4. Let k(d) = 4*q(d) - y(d). Find x such that k(x) = 0.
-2/7, 0
Let l(y) be the third derivative of -7*y**2 - 1/24*y**3 - 7/20*y**5 + 29/192*y**4 + 135/896*y**8 - 117/280*y**7 + 0*y + 0 + 81/160*y**6. Factor l(k).
(3*k - 1)**4*(5*k - 2)/8
Let k(o) be the third derivative of 17/240*o**5 - 1/48*o**4 + 0 + 6*o**2 + 0*o**3 - 3/40*o**6 + 0*o. Factor k(n).
-n*(4*n - 1)*(9*n - 2)/4
Let n(h) = 2*h**2 + 27*h + 162. Let z(v) = 2*v**2 + 24*v + 162. Let l(f) = 4*n(f) - 3*z(f). Let l(s) = 0. Calculate s.
-9
Let k(f) be the third derivative of -f**8/3024 + f**7/630 - f**6/360 + f**5/540 - 2*f**2 + 58. What is y in k(y) = 0?
0, 1
Let s = 12849 - 12849. Determine k so that 2/5*k**2 + s + 7/5*k**3 - 8*k**4 + 0*k - 144/5*k**5 = 0.
-1/4, 0, 2/9
Suppose 2/3*w - 1/3 - 1/3*w**2 = 0. Calculate w.
1
Determine g so that 8/5*g**3 + 24/5*g + 1/5*g**4 + 9/5 + 22/5*g**2 = 0.
-3, -1
Let h(d) be the second derivative of -2/3*d**4 + 2/21*d**7 - 2/3*d**3 + 0 + 0*d**5 + 0*d**2 + 4/15*d**6 - 11*d. Suppose h(p) = 0. What is p?
-1, 0, 1
Let s(h) = -h**3 - 10*h**2 - 12*h - 27. Let q = -188 - -179. Let a be s(q). Factor -4/5*j - 2*j**2 + a.
-2*j*(5*j + 2)/5
Let 0 - 9/2*g**2 + 9/2*g**4 + 3/2*g - 3/2*g**3 = 0. What is g?
-1, 0, 1/3, 1
Let z(d) be the third derivative of d**7/70 - 7*d**6/18 + 16*d**5/5 + 6*d**4 - 37*d**3/6 + 2*d**2. Let b(k) be the first derivative of z(k). Factor b(q).
4*(q - 6)**2*(3*q + 1)
Let f = -48 - -50. Suppose f = -9*r + 10*r. Factor -10/3*a + 2*a**r + 4/3.
2*(a - 1)*(3*a - 2)/3
Let x = 75 - 83. Let r be 2/x*0 + 4. Factor 8/9*o + 0 - 2/3*o**3 + 0*o**2 + 2/9*o**r.
2*o*(o - 2)**2*(o + 1)/9
Let x(n) be the first derivative of n**3/21 - 11*n**2/14 + 24*n/7 - 112. Factor x(q).
(q - 8)*(q - 3)/7
Find q, given that -3*q**4 + 4/3 + 0*q**3 + 25/3*q**2 - 20/3*q = 0.
-2, 1/3, 2/3, 1
Let b(y) be the second derivative of y**8/84 - y**6/30 - 23*y**2/2 - 15*y. Let z(d) be the first derivative of b(d). Factor z(r).
4*r**3*(r - 1)*(r + 1)
Suppose 2*q - 5*d - 8 = -4*d, -4*q - 4*d - 32 = 0. Let 1/2*l**4 + q*l + 1/2*l**2 + 0 - l**3 = 0. Calculate l.
0, 1
Let w(m) be the second derivative of m**7/14 - m**6/3 + 2*m**5/5 + m**4/2 - 11*m**3/6 + 2*m**2 - 150*m. Factor w(y).
(y - 1)**3*(y + 1)*(3*y - 4)
Let b(v) be the first derivative of -v**4/28 + v**3/7 - v + 11. Let t(w) be the first derivative of b(w). Factor t(y).
-3*y*(y - 2)/7
Let k(j) = j**3 - 4*j**2 + 9*j - 5. Let f be (-32)/7 + 9/(-21). Let n(t) = t - 1. Let u(b) = f*n(b) + k(b). Find i, given that u(i) = 0.
0, 2
Let b(w) be the first derivative of 2*w**5/5 + w**4/2 - 4*w**3/3 - 96. Factor b(k).
2*k**2*(k - 1)*(k + 2)
Suppose -225 = 5*x + y - 4*y, -5*y = 0. Let g be (6/40)/((-3)/x). Factor -3/4*n**2 + 0 + g*n.
-3*n*(n - 3)/4
Suppose 0 = -4*s + 13*s. Solve s + 1/4*y**3 + 0*y**2 - 1/4*y = 0 for y.
-1, 0, 1
Let m be (9/6)/((-27)/(-36)). Suppose -28*r**4 - 12 - 72*r**3 + 311*r**m - 399*r**2 - 8*r - 44*r - 4*r**5 = 0. What is r?
-3, -1
Let s(u) be the first derivative of -u**4/4 + 3*u**3/2 - 10*u - 10. Let c(g) be the first derivative of s(g). Factor c(z).
-3*z*(z - 3)
Factor 54/5*f**3 - 2/5*f**4 - 336/5*f**2 + 0 - 392/5*f.
-2*f*(f - 14)**2*(f + 1)/5
Let a = -363 - -363. Let y(l) be the second derivative of 0*l**2 + 0*l**5 - 1/4*l**4 + 1/10*l**6 + 0*l**3 + 8*l + a. Factor y(m).
3*m**2*(m - 1)*(m + 1)
Suppose 14*b - 75 = -b. Suppose b*t = -0*t - 0*t. Find a, given that t*a + 0 - 2/5*a**2 + 2/5*a**3 = 0.
0, 1
Let p(z) be the first derivative of 4*z**5/5 + 5*z**4 - 28*z**3/3 - 10*z**2 + 24*z - 61. Factor p(i).
4*(i - 1)**2*(i + 1)*(i + 6)
Let p(u) be the first derivative of -1/10*u**5 - 3/8*u**4 - 1/2*u**2 + u**3 + 0*u + 5. Let y(t) be the second derivative of p(t). Solve y(d) = 0 for d.
-2, 1/2
Let r = -11 + 18. Let n be -1*6/(-10)*(3 - -2). Let -10 + n + m**4 + r - m**3 = 0. What is m?
0, 1
Let k(v) = v**4 - 2*v**3 - v**2 + v - 1. Let b(r) = -r**4 - 43*r**3 + 191*r**2 + 1019*r - 2454. Let s(d) = b(d) - 4*k(d). Factor s(o).
-5*(o - 5)*(o - 2)*(o + 7)**2
Let d be 2/10 - ((-184)/20 - -9). Let h(x) be the first derivative of d*x**5 + 1/18*x**6 + x**4 + 10/9*x**3 - 4 + 1/2*x**2 + 0*x. Factor h(z).
z*(z + 1)**3*(z + 3)/3
Suppose -2*r + 10 + 10 = 3*j, 2*r - 32 = -5*j. Let h be (0 - j/(-5))/((-48)/(-120)). Let -6*l**2 + 3 + 9/2*l**h - 3/2*l = 0. Calculate l.
-2/3, 1
Determine i, given that -4*i**3 - 1 + 9*i**3 - 3*i**3 + i - 3*i**3 + i**2 = 0.
-1, 1
Suppose 0*a + 3 = 3*a + 4*n, 4*a = -3*n + 11. Let m(y) be the third derivative of 0*y + 0*y**3 + 1/480*y**6 + 0 + 1/120*y**a - 3*y**2 + 1/96*y**4. Factor m(i).
i*(i + 1)**2/4
Let x = 47 + -89/2. Suppose -850 = 53*t - 956. What is k in 3 - x*k**t - 13/2*k = 0?
-3, 2/5
Let b(m) = 3*m**2 - 1. Let x be b(1). Suppose x*u - 6 = 0, -2*i - u + 3 = -0*u. Factor i*o**5 + 2*o**5 - 5*o**3 - 4*o**2 - o**3.
2*o**2*(o - 2)*(o + 1)**2
Suppose 16 = -210*z + 218*z. Determine x, given that 1/2*x - 11/4*x**z + 0 = 0.
0, 2/11
Let v = 29 + -15. Suppose v = -s + 8*s. Factor 2/11*k**s - 4/11 - 2/11*k.
2*(k - 2)*(k + 1)/11
Factor -4 + 2/9*c**3 + 16/9*c**2 - 22/9*c.
2*(c - 2)*(c + 1)*(c + 9)/9
Let 23*u**3 - 12*u**4 - 2*u**5 + 30*u + 19*u**3 - 70*u**3 - 2*u**4 - 4*u**2 + 18 = 0. What is u?
-3, -1, 1
Let k(j) be the first derivative of 80*j + 6 + 560*j**2 + 3290*j**4 + 2205*j**5 + 5800/3*j**3. Solve k(w) = 0.
-2/5, -2/7, -2/9
Let r be 12/(-27) - 76/(-528)*96/9. Let 0 + 26/11*q**3 - 24/11*q**4 + 2/11*q - r*q**2 + 8/11*q**5 = 0. What is q?
0, 1/2, 1
Factor -3/7*z**4 + 0*z + 0 + 6/7*z**3 - 3/7*z**2.
-3*z**2*(z - 1)**2/7
Factor -13*f + 2*f**2 + 0*f**4 + 3*f**4 - f**4 + f + 8*f**3.
2*f*(f - 1)*(f + 2)*(f + 3)
Let g(s) be the first derivative of -s**6/6 + s**5/4 + 25*s**4/12 + 5*s**3/2 - 16*s + 2. Let c(w) be the first derivative of g(w). Factor c(b).
-5*b*(b - 3)*(b + 1)**2
What is c in -5*c**4 + 139/3*c**2 + 12*c - 12 - 4/3*c**3 = 0?
-3, -2/3, 2/5, 3
Determine n so that -55*n**2 - 32*n + 212*n**4 + 36*n**2 - 24*n**3 - 41*n**2 - 208*n**4 = 0.
-1, 0, 8
Factor -1/5*r**2 - 156/5*r - 6084/5.
-(r + 78)**2/5
Let q(a) = a**4 - 5*a**3 + 3. Let b(n) = -n**4 + n**3 + 1. Suppose -5*t - 25 = 3*v - 8, -5*t = -v + 21. Let k(u) = v*q(u) - 3*b(u). Find c, given that k(c) = 0.
0, 2
Let f(u) be the first derivative of 5*u**6/6 - 3*u**5 + 15*u**4/4 - 5*u**3/3 - 566. Factor f(z).
5*z**2*(z - 1)**3
Let a = -1735823/2871180 - -13/44172. Let j = 1/90 - a. Determine r so that -j*r**2 + 0 + 2/13*r**3 + 8/13*r = 0.
0, 2
Suppose -2*k + 45 = -3*b, -67 = -3*k + b - 3. Solve 60*x - 125*x**4 - 21 + k - 320*x**2 + 475*x**3 = 0.
0, 2/5, 3
Let b(m) = -2*m + 11. Let a be b(4). Suppose -19*g**3 + 9*g**a + 8*g**3 + 2*g + 1