*2 + p*b**3 + 1/4*b**4 - 1/4*b + 0 = 0.
-1, 0, 1
Suppose 2*r = -q + 7, 4*r - 9*q - 17 = -14*q. Factor 0 + 0*v + 2/7*v**2 + 2/7*v**r.
2*v**2*(v + 1)/7
Suppose -5*q - 8 = 72. Let w(p) = 6*p**2 + 16*p + 10. Let o(n) = 2*n**2 + 5*n + 3. Let u(h) = q*o(h) + 5*w(h). Factor u(k).
-2*(k - 1)*(k + 1)
Find x such that 0*x - 3/2*x**3 + 3/2*x**2 + 0 = 0.
0, 1
Let u = -46 - -48. Factor 8/5 - 2/5*m**3 - 16/5*m + 2*m**u.
-2*(m - 2)**2*(m - 1)/5
Let x(y) be the first derivative of -3 - 24*y - 54*y**3 - 54*y**2 - 81/4*y**4. Suppose x(i) = 0. What is i?
-2/3
Let o be (-3 + (-93)/(-27))/2. Let x(d) be the first derivative of 1 - 2/3*d + o*d**3 + 1/4*d**4 - 1/2*d**2. Find h, given that x(h) = 0.
-1, -2/3, 1
Let u be 23/((-897)/26)*(-9)/2. Let -1/4*c - 3/4*c**2 - 1/4*c**4 - 3/4*c**u + 0 = 0. Calculate c.
-1, 0
Let v(l) = -2*l**2 + 14*l - 12. Let i = -3 - -15. Let a(j) = j - 1. Let o(y) = i*a(y) - v(y). Factor o(n).
2*n*(n - 1)
Let n(j) be the first derivative of -3*j**7/140 + 11*j**6/180 - j**5/30 - 2*j**3/3 - 2. Let w(l) be the third derivative of n(l). What is c in w(c) = 0?
0, 2/9, 1
Let p(x) be the first derivative of -9/11*x**2 + 89/22*x**4 + 18/11*x**3 - 1 - 42/11*x**5 - 4/11*x. What is t in p(t) = 0?
-2/7, -1/5, 1/3, 1
Let 1 - 2 - 36*h**2 + 37*h**2 = 0. Calculate h.
-1, 1
Let o = 940/847 - -4/121. Factor o*w + 2/7*w**2 + 8/7.
2*(w + 2)**2/7
Let n(b) = -2*b**2 - 2*b + 3. Let s(o) = 6*o**2 + 8*o - 10. Let c(m) = 20*n(m) + 6*s(m). Factor c(g).
-4*g*(g - 2)
Let t = 11 + -9. Let m(h) = h**2 + 8*h + 10. Let n be m(-7). Factor 0 - 2/7*v**n - 4/7*v - 6/7*v**t.
-2*v*(v + 1)*(v + 2)/7
Solve -40*s - 100/9 + 52/3*s**2 - 16/9*s**3 = 0 for s.
-1/4, 5
Let k(t) be the first derivative of -t**6/120 - t**5/60 + 3*t**2/2 + 1. Let o(n) be the second derivative of k(n). What is l in o(l) = 0?
-1, 0
Let o(u) be the first derivative of u**6/135 + 2*u**5/45 + 5*u**4/54 + 2*u**3/27 + u - 2. Let t(j) be the first derivative of o(j). Find k, given that t(k) = 0.
-2, -1, 0
Let c(u) = u + 10. Let g be c(-7). Suppose -g*l + 5 = -4. What is i in i**2 + 1/2*i**5 - 1/2*i - i**4 + 0 + 0*i**l = 0?
-1, 0, 1
Let p = -28 + 28. Factor 2/11*o**3 + 2/11*o**4 - 2/11*o**5 + p - 2/11*o**2 + 0*o.
-2*o**2*(o - 1)**2*(o + 1)/11
Determine s, given that 2 + 10*s**2 + 0 - 26*s**2 - 4*s**3 - 20*s - 10 = 0.
-2, -1
Suppose 5*b - 5 = -5*h, 3*h + 4*b = -2 + 3. Factor -14*w**3 + 6*w + w**3 + 7*w**h - 3*w**4 + 3*w**2.
-3*w*(w - 1)*(w + 1)*(w + 2)
Factor 18/7*l - 15/7 - 3/7*l**2.
-3*(l - 5)*(l - 1)/7
Factor -3/4*b**3 + 0 + b + 1/4*b**4 + 0*b**2.
b*(b - 2)**2*(b + 1)/4
Let l(h) be the first derivative of 2*h**3/3 + 2*h**2 - 4. Find v such that l(v) = 0.
-2, 0
Let o(p) be the first derivative of 3*p**5/5 - 3*p**4/4 - p**3 + 3*p**2/2 - 39. Factor o(c).
3*c*(c - 1)**2*(c + 1)
Suppose -4*m + 12 = -0*m. Factor -2*q + q + 3*q**m - 2*q.
3*q*(q - 1)*(q + 1)
Let s(n) = 5*n**2 + 3*n + 4. Let m(w) = 9*w**2 + 5*w + 7. Let z(g) = 4*m(g) - 7*s(g). Factor z(o).
o*(o - 1)
Let t = 5 - 2. Let u(s) be the third derivative of 0 + 0*s**4 + 0*s**t - 1/120*s**5 + 0*s - 1/160*s**6 + 2*s**2. Suppose u(n) = 0. What is n?
-2/3, 0
Let q be 0/(-2) - (-12)/4. Determine o, given that 13*o**3 - 4*o**q - 6*o**2 - 6*o**4 + 2*o**4 + o = 0.
0, 1/4, 1
Suppose 0 = 3*h + 12, -2*h = -p + 18 - 6. Let o(x) be the first derivative of -1/5*x**2 - p - 2/5*x**4 + 2/3*x**3 + 0*x. Determine a, given that o(a) = 0.
0, 1/4, 1
Let t = 62 + -59. Let d(q) be the first derivative of 2/3*q**2 - 1 + 2/3*q + 2/9*q**t. Let d(r) = 0. Calculate r.
-1
Factor -1/2*g**2 + 3/2*g**3 + 1/2*g**5 + 0*g - 3/2*g**4 + 0.
g**2*(g - 1)**3/2
Let c be (-4)/(-8) + 2/(-20). Factor -4/5*t - c - 2/5*t**2.
-2*(t + 1)**2/5
Let r(o) = o**3 + 4*o**2 - 2*o - 5. Let z be r(-4). Factor 3*y**4 - z*y**2 - 9*y**3 + 6*y + 6*y**2 + 3*y - 6.
3*(y - 2)*(y - 1)**2*(y + 1)
Let v(m) be the second derivative of 5*m**7/126 - m**6/18 - m**5/4 + 5*m**4/36 + 5*m**3/9 - 4*m. Let v(a) = 0. What is a?
-1, 0, 1, 2
Let f = 127 + -377/3. Let d(w) be the first derivative of 8/3*w + 2/9*w**3 - 3 + f*w**2. Suppose d(r) = 0. What is r?
-2
Let j be 1*-3 - 704/(-253). Let p = 21/115 - j. Factor p*u**2 - 8/5*u + 8/5.
2*(u - 2)**2/5
Let i be (1/(-2))/((-20)/(-248)). Let c = i - -139/20. Factor 1/2*k**2 - 1/2 - 3/4*k + c*k**3.
(k - 1)*(k + 1)*(3*k + 2)/4
Suppose 6*w = 2*w + 8. Solve 1 - 1 - 2*s + w*s**2 = 0.
0, 1
Let a(j) be the second derivative of j**5/120 - j**4/12 + j**3/3 + j**2/2 - 2*j. Let q(u) be the first derivative of a(u). Factor q(p).
(p - 2)**2/2
Factor 1/5 - 2/5*o**3 - 3/5*o**4 + 3/5*o + 2/5*o**2 - 1/5*o**5.
-(o - 1)*(o + 1)**4/5
Let x = -1243/2 + 626. Factor 0*l**2 - 6*l + 3/2*l**4 + x*l**3 + 0.
3*l*(l - 1)*(l + 2)**2/2
Let z(u) be the first derivative of 1/7*u**2 + 2/21*u**3 - 1/14*u**4 + 2 - 2/7*u. Factor z(m).
-2*(m - 1)**2*(m + 1)/7
Let v be -1*(-3*(-8)/(-6) + 4). Let 3/7*m**2 - 3/7 + v*m = 0. What is m?
-1, 1
Suppose -11 = -4*w + 1. Let z = w + 0. Factor -2 - 20*g**3 - 11*g**4 - 2*g**5 - z*g - 20*g**2 + g**4 - 7*g.
-2*(g + 1)**5
Let s = -1101 - -4413/4. Suppose -3/2*v**3 - 3/4*v**5 + 0*v + 0*v**2 - s*v**4 + 0 = 0. Calculate v.
-2, -1, 0
Let z(t) be the third derivative of -t**5/15 + 5*t**4/6 + 23*t**2. Factor z(w).
-4*w*(w - 5)
Let u(k) be the first derivative of -k**6/9 + k**5/5 + k**4/6 - 29. What is i in u(i) = 0?
-1/2, 0, 2
Let x = -10 + 4. Let m be (x/(-9))/((-4)/(-30)). Suppose -3*c**2 + 2*c**2 + 0*c**5 - 9*c**4 - 6*c**3 - 4*c**m = 0. Calculate c.
-1, -1/4, 0
Let l be 8/(-6) - 22/33. Let q(v) = -3*v**2 - 3*v - 3. Let d(x) = x**4 + x**3 - 4*x**2 - 2*x - 2. Let n(m) = l*q(m) + 3*d(m). Factor n(c).
3*c**2*(c - 1)*(c + 2)
Let t(a) be the third derivative of 0*a**4 + 2*a**2 + 0 - 1/105*a**7 + 0*a + 1/30*a**5 + 0*a**6 + 0*a**3. Factor t(p).
-2*p**2*(p - 1)*(p + 1)
Let y = 302 - 297. Factor 1/3*d**y - 2/3*d**3 - 1/3 + 1/3*d - 1/3*d**4 + 2/3*d**2.
(d - 1)**3*(d + 1)**2/3
Find m, given that -14/9 - 10/9*m**2 + 2/9*m**3 - 26/9*m = 0.
-1, 7
Let a(r) be the first derivative of -r**3/9 - r**2/6 - 5. Solve a(c) = 0 for c.
-1, 0
Suppose -6*j - 172 = -28. Let n be (4/10)/(j/(-20)). What is q in 1/3*q**4 + 2*q**2 + 4/3*q + n + 4/3*q**3 = 0?
-1
Let p(u) be the third derivative of u**5/8 + u**4/8 - 32*u**2. Solve p(d) = 0.
-2/5, 0
Suppose -p = h, -2*h + 7 = -2*p - 1. Suppose 3*r = -r + 8. Determine j so that -r*j**3 - 5*j**2 + 0*j**3 + 3*j**h = 0.
-1, 0
Solve 9*b - 7*b + 2*b - 2*b**2 + b**2 = 0 for b.
0, 4
Let y be (188/(-63) - -2) + 3 + -2. Let i(q) be the second derivative of -1/30*q**5 + 0*q**3 + 1/45*q**6 + 0*q**2 - 1/18*q**4 + y*q**7 - 2*q + 0. Factor i(d).
2*d**2*(d - 1)*(d + 1)**2/3
Suppose 0 + 1/2*t**2 + t = 0. What is t?
-2, 0
Let h be (1/(-3))/((-3)/3). Let n = 74 + -220/3. Factor t**3 + 0 - h*t**2 - n*t.
t*(t - 1)*(3*t + 2)/3
Let m(t) be the third derivative of 5*t**2 + 1/2*t**4 - 1/20*t**5 - 2*t**3 + 0*t + 0. Factor m(s).
-3*(s - 2)**2
Let t(o) be the first derivative of 0*o**2 + 2*o - 1 + 0*o**3 + 1/40*o**5 + 0*o**4. Let p(z) be the first derivative of t(z). Factor p(w).
w**3/2
Let q(r) = -r**2 - r + 1. Let t be q(0). Let c be t*(0 - 0 - -15). Find u, given that 4*u**2 - 2*u - 15 - 2*u**3 + c = 0.
0, 1
Let b(z) = -4*z**2 - 16*z - 7. Let k(c) = -6*c**2 - 24*c - 10. Let o(p) = 8*b(p) - 5*k(p). Factor o(j).
-2*(j + 1)*(j + 3)
Let w be (-253)/(-33) + (0 - 5). What is k in 2*k**2 - w - 8/3*k = 0?
-2/3, 2
Let u(b) be the third derivative of -b**7/360 - b**6/120 - b**5/180 - b**3/6 + 4*b**2. Let h(c) be the first derivative of u(c). Factor h(y).
-y*(y + 1)*(7*y + 2)/3
Let y(o) be the second derivative of 0*o**2 + 1/6*o**4 + 0 + 0*o**3 + 6*o. Factor y(k).
2*k**2
Let y(i) = 2*i**5 + 14*i**4 + 31*i**3 + 30*i**2 + 15*i + 3. Let u(l) = l**5 + l**4 - l**3. Let v(t) = -u(t) - y(t). Factor v(d).
-3*(d + 1)**5
Find d such that -3/10*d**2 + 1/10*d**3 + 0 + 1/5*d = 0.
0, 1, 2
Suppose 0 = 2*u - 0*u + 2*c, 5*u = -4*c. Factor 0*k**4 + u + 0*k - 3/4*k**3 + 1/2*k**2 + 1/4*k**5.
k**2*(k - 1)**2*(k + 2)/4
Suppose 4 = j + 5*b - 5, -3*b - 17 = -5*j. Suppose 0 = -l + 6*l - 15. Factor -j*h**3 + 4*h**2 - 7*h + 3*h + 3*h**l.
-h*(h - 2)**2
Let j(n) = -n**3 + 17*n**2 + 2. Let k be j(17). Factor -9*m**2 - m**2 + 15*m**3 - 3*m**3 - 4*m**4 + k*m**2.
-4*m**2*(m - 2)*(m - 1)
Let f be 0/2 + -2 + 0. Let z be 3 + (0 - (3 + f)). Factor 16/7 + 24