 15*l + l**3. Let i be b(7). What is w in -3*w**i - 2*w**2 - 2*w**4 + 0 - 1/2*w - 1/2*w**5 = 0?
-1, 0
Suppose -5*r + 4*c = -22, 4*r - 9 = c + 2. Determine l, given that -10*l**r + 0 + 2*l + l**4 - 7/2*l**5 + 21/2*l**3 = 0.
-2, 0, 2/7, 1
Let b = 8 + -5. Determine d, given that d - 6*d**2 - 3*d - 2 - 2*d**3 - 4*d + 0*d**b = 0.
-1
Let m(y) be the first derivative of y**6/480 + y**5/160 + 2*y**3 - 10. Let u(f) be the third derivative of m(f). Factor u(l).
3*l*(l + 1)/4
Let l = -42 + 36. Let g be (-12)/(-16)*l/(-27). Determine u, given that -1/6*u + 0 + g*u**3 + 0*u**2 = 0.
-1, 0, 1
Let s(i) = -i**3 - 8*i**2 + i + 8. Let f(p) = p**2 - 1. Suppose l + 7 = 3*h - 7, -l = -h + 2. Let v(r) = h*f(r) + s(r). What is z in v(z) = 0?
-2, -1, 1
Let g be (-39)/(-260) - 6/(-10). Factor -3/2*v + 9/4*v**2 - g*v**3 + 0.
-3*v*(v - 2)*(v - 1)/4
Let k(g) be the second derivative of -7*g**6/1620 + 23*g**5/540 - g**4/18 - 5*g**3/6 - 5*g. Let h(i) be the second derivative of k(i). Factor h(c).
-2*(c - 3)*(7*c - 2)/9
Suppose l + 2*w - 9 = 3*w, 0 = 2*l + 5*w + 3. Let s be 276/72 + 1/l. Factor -18 + 89*g**2 + 15*g**2 + 64*g - 441*g**s + 1 + 1 - 336*g**3.
-(3*g + 2)**2*(7*g - 2)**2
Suppose 5*m - 1346 = 514. Suppose 0*z - 3*z + m = 0. Determine c so that 20*c**3 + 43*c**4 - z*c**2 - 7 - 98*c**5 + 182*c**3 - 9 - 104*c + 97*c**4 = 0.
-1, -2/7, 1, 2
Suppose -7 = -3*p - a + 7, 0 = 5*p + a - 24. Determine l so that -20*l**4 + 8*l**p - 4*l**3 - 8 - 3*l**2 + 209*l - 213*l + 31*l**2 = 0.
-1, -1/2, 1, 2
Factor -12*j + 47/4*j**2 + 1/4*j**3 + 0.
j*(j - 1)*(j + 48)/4
Let w(c) = -c**3 + c**2 + c - 1. Suppose 7*q + 8 = 15*q. Let z(h) = 28*h**4 - 6*h**3 - 86*h**2 - 34*h + 18. Let m(l) = q*z(l) + 2*w(l). Factor m(j).
4*(j - 2)*(j + 1)**2*(7*j - 2)
Let f be (-17)/(54 - 3) + 13/3. Let g(s) be the second derivative of -1/22*s**5 + 4/33*s**4 + 0*s**2 + 4/33*s**3 - f*s + 0. Factor g(y).
-2*y*(y - 2)*(5*y + 2)/11
Let r(s) be the third derivative of s**7/945 + s**6/540 - s**2 + 31. Factor r(c).
2*c**3*(c + 1)/9
Let o(d) = 14*d + 116. Let z be o(-8). Let n(m) be the third derivative of 0 + 1/24*m**4 + 0*m + 1/180*m**5 + 0*m**3 + z*m**2. Factor n(w).
w*(w + 3)/3
Let f(b) = -b**2 - 13*b - 32. Let u be f(-7). Factor -5*x**3 + 8 - 3*x**5 - 21*x**3 - 24*x**2 - 14*x**4 - u - 11*x.
-(x + 1)**4*(3*x + 2)
Let s(z) = 19*z - 226. Let t be s(12). Factor -9/4 - 3/2*q - 1/4*q**t.
-(q + 3)**2/4
Factor 0*o - 2/7*o**2 + 2/7.
-2*(o - 1)*(o + 1)/7
Determine q, given that 392/11 + 394/11*q + 2/11*q**2 = 0.
-196, -1
Let f(q) be the first derivative of -3*q**4/20 - 2*q**3/5 + 21*q**2/10 - 12*q/5 + 14. Determine a, given that f(a) = 0.
-4, 1
Let f be 91/13*4*(-1)/(-14). Find k such that 3/4*k - 1/2*k**f + 1/2 = 0.
-1/2, 2
Let k = 67/126 - -124/63. Factor -10*y**3 + 0 + k*y**4 + 25/2*y**2 - 5*y.
5*y*(y - 2)*(y - 1)**2/2
Let s = -11251/2 + 5626. Solve 1/2*g**4 + g - s*g**2 + 0 - g**3 = 0.
-1, 0, 1, 2
Let f = 9 + -8. Let q(z) = -6*z**3 - 6*z**2 + 3*z. Let i(n) = -n**3. Let g be (-165)/18 - (-3)/18. Let p(t) = f*q(t) + g*i(t). Factor p(u).
3*u*(u - 1)**2
Let -429454 + 429454 - 6*k - 2*k**3 - 8*k**2 = 0. What is k?
-3, -1, 0
Let f(j) be the third derivative of j**8/84 - 4*j**7/35 + j**6/5 + 16*j**5/15 - 5*j**4/2 - 12*j**3 + 28*j**2. Suppose f(v) = 0. Calculate v.
-1, 2, 3
Suppose -4*d - 1 = -9. Determine w, given that -2*w + 0*w + w - 6*w**2 + 5*w**d = 0.
-1, 0
Let g(z) be the third derivative of 2*z**7/945 + z**6/30 + z**5/9 + 7*z**4/54 + 347*z**2. Let g(d) = 0. Calculate d.
-7, -1, 0
Factor -16 - s**3 - 6*s**2 + 1/2*s**4 + 20*s.
(s - 2)**3*(s + 4)/2
Let v = -21 + 23. Let m be ((-4)/36*3)/(v/(-8)). Factor 2/3*u**4 - 2*u**2 - m*u + 0 + 0*u**3.
2*u*(u - 2)*(u + 1)**2/3
Let o be (-10)/(-35) - (-262)/(-182). Let w = o + 97/39. Factor -1/3*j**3 - w*j**2 + 0 - 4/3*j.
-j*(j + 2)**2/3
Let i be (-60)/420*-1*9. Factor 0 + 2/7*p**2 + 0*p - i*p**3.
-p**2*(9*p - 2)/7
Let p = -405 - -409. Let j(a) be the second derivative of 0 - 1/100*a**5 + 0*a**2 - a - 1/50*a**6 + 0*a**p + 0*a**3. Factor j(v).
-v**3*(3*v + 1)/5
Let b(d) be the second derivative of 1/15*d**6 - 8/3*d**3 + 0 - d**4 + 0*d**5 + 9*d - 3*d**2. Factor b(n).
2*(n - 3)*(n + 1)**3
Let n = -104 - -113. Suppose -y - t + 6 = 0, 2*t - t + n = 4*y. Solve 0*d + 0 - 1/2*d**2 - 1/2*d**y = 0 for d.
-1, 0
Determine g so that -g**3 - 20/3*g**2 - 9*g - 10/3 = 0.
-5, -1, -2/3
Suppose 1 = 9*t - 8*t. Let u(i) = -8*i**2 + 2*i - 8. Let m(b) = b**2 - b + 1. Let l(o) = t*u(o) + 6*m(o). Solve l(d) = 0 for d.
-1
Let u(r) = -r + 2. Suppose -2*o + 5 - 5 = 0. Let i be u(o). Factor -1/5*w - 2/5 + 1/5*w**i.
(w - 2)*(w + 1)/5
Let f(x) = 2*x**2 - 2*x - 2. Let u(g) be the first derivative of g**3/3 + g**2/2 + g + 63. Let l be 2/3 - (-8)/6. Let h(r) = l*u(r) + f(r). Factor h(n).
4*n**2
Suppose 0 = 49*z - 345 - 439. Let o(y) be the second derivative of y + z*y**3 + 12*y**2 + 21/80*y**5 + 29/8*y**4 + 0. Find l, given that o(l) = 0.
-4, -2/7
Suppose -2*v = -30 + 18, 2*c - 3*v + 14 = 0. Factor 2*z + 4/3 + 2/3*z**c.
2*(z + 1)*(z + 2)/3
Find o, given that o**4 + 1/3*o**5 - 7/3*o**2 + 0*o + 4/3 - 1/3*o**3 = 0.
-2, -1, 1
Let m(g) be the first derivative of -9*g**4/2 - 32*g**3/3 - 5*g**2 + 4*g + 66. Solve m(y) = 0.
-1, 2/9
Suppose 40 = -121*m + 40. Solve 0 - 1/5*b**5 + 0*b**3 - 2/5*b**4 + 0*b**2 + m*b = 0 for b.
-2, 0
Factor 9*w**2 - 1/3*w**4 + 27*w + 18 - 1/3*w**3.
-(w - 6)*(w + 1)*(w + 3)**2/3
Let i = -202 - -392. Let p = i - 188. Solve p*g - 4/3*g**4 + 2/3 + 2/3*g**2 - 2*g**3 = 0 for g.
-1, -1/2, 1
Let w(k) be the second derivative of 0 - 1/6*k**6 + 12*k - 55/6*k**3 + 5/42*k**7 + 15/2*k**2 + 35/6*k**4 - 3/2*k**5. Factor w(a).
5*(a - 1)**4*(a + 3)
Factor -3/2*g + 3/2*g**2 + 0.
3*g*(g - 1)/2
Let t = -37 + 33. Let w(m) = m**3 - 4*m**2 - 4*m - 4. Let p(o) = -2*o**3 + 7*o**2 + 7*o + 7. Let a(s) = t*p(s) - 7*w(s). What is b in a(b) = 0?
0
Let d(x) be the second derivative of x**3/6 - 11*x**2/2 + 4*x. Let n be d(11). Factor n + 2/3*p**2 - 2/3*p.
2*p*(p - 1)/3
Let u(o) be the first derivative of -2/5*o**3 - 1/5*o**5 - 2/5*o**2 + 3/5*o + 3/5*o**4 + 9. Let u(w) = 0. Calculate w.
-3/5, 1
Factor 96/7*d**3 + 234*d - 204/7 - 3312/7*d**2.
6*(d - 34)*(4*d - 1)**2/7
Suppose t + 2*i + 9 = 0, 4*t - 4*i - 43 - 5 = 0. Let 7/4*n**4 + 0*n + 5*n**3 + n**2 + 0 - 9/4*n**t = 0. Calculate n.
-1, -2/9, 0, 2
Let l be (-4 - (-3 + 2)) + 3. Factor l*v + v**2 - 5*v**2 + 5*v + 7*v.
-4*v*(v - 3)
Let u(p) = -2*p**4 - 16*p**3 - 42*p**2 - 48*p - 18. Let q(o) = -4*o**4 - 32*o**3 - 83*o**2 - 96*o - 36. Let m(f) = -2*q(f) + 5*u(f). Factor m(k).
-2*(k + 1)**2*(k + 3)**2
Let q(g) = -4*g**3 - 48*g**2 - 158*g - 144. Let x(z) = -2*z**2 - z. Let j(f) = q(f) + 2*x(f). Factor j(a).
-4*(a + 2)**2*(a + 9)
Let x = 13835 - 235165/17. Let -4/17*w**2 - 14/17 - x*w = 0. What is w?
-7, -1/2
Factor -2/5*c**2 - 16 + 44/5*c.
-2*(c - 20)*(c - 2)/5
Let k(z) be the second derivative of 2/3*z**4 + 0*z**2 + 2/7*z**7 - 8/15*z**6 + 13*z - 1/5*z**5 + 0*z**3 + 0. Let k(g) = 0. What is g?
-2/3, 0, 1
Factor 24/7*b**4 - 3/7*b**5 - 15/7*b - 54/7*b**3 + 0 + 48/7*b**2.
-3*b*(b - 5)*(b - 1)**3/7
Let a(q) be the first derivative of -q**5/45 + 3*q**4/4 - 26*q**3/27 - 466. Factor a(s).
-s**2*(s - 26)*(s - 1)/9
Let v be -7*6/6 + 7. Let p(w) be the third derivative of 0*w**3 + 3*w**2 + 0*w + 0*w**5 + 0 + 1/1050*w**7 + v*w**4 + 1/300*w**6. Find j such that p(j) = 0.
-2, 0
Let y(m) be the third derivative of -m**8/3360 + m**7/630 + m**6/72 - m**5/10 + 13*m**4/12 - 2*m**2 - m. Let f(d) be the second derivative of y(d). Factor f(v).
-2*(v - 3)*(v - 1)*(v + 2)
Let i be (-3 + -1 + 3)*(-8)/2. Let r be i/(-6)*(20 - 21). What is t in 2/3*t - r*t**3 - 1/3*t**4 + 1/3*t**2 + 0 = 0?
-2, -1, 0, 1
Let j = 813 - 809. Factor 66/7*v**2 + 3/7 - 12/7*v**5 - 24/7*v + 51/7*v**j - 12*v**3.
-3*(v - 1)**4*(4*v - 1)/7
Let s(c) be the second derivative of -c**7/21 + 2*c**6/15 - c**4/3 + c**3/3 - 51*c. Factor s(v).
-2*v*(v - 1)**3*(v + 1)
Let w(v) = -2*v**2 + 48*v + 38. Let i(b) = -4*b**2 + 94*b + 77. Let j(x) = 4*i(x) - 7*w(x). Factor j(n).
-2*(n - 21)*(n + 1)
Let n(h) be the first derivative of -6 - 25*h**4 + 4*h + 80/3*h**3 + 12*h**5 - 7/3*h**6 - 15*h**2. Factor n(x).
-2*(x - 1)**4*(7*x - 2)
Let a(x) = -x**2 - x - 1. Let v(y) = 18*y**2 - 52*y + 4. Suppose 5*k + 2 = 7. Let j(d) = k*v(d) - 4*a(d). Factor j(c).
2*(c - 2