b**2 - 1/2*b**3 + 0 - b**4. Factor m(a).
3*(a - 4)*(a - 1)*(a + 1)
Let w = -587 + 590. Let j(u) be the first derivative of 1/2*u**2 - 1/4*u**4 + 4 + 0*u**w + 0*u. Factor j(i).
-i*(i - 1)*(i + 1)
Let q = 1/861 - -286/861. Factor 0*w + q - 1/3*w**2.
-(w - 1)*(w + 1)/3
Let s(k) be the third derivative of -k**7/70 - 11*k**6/20 + 6*k**5/5 + 11*k**4/4 - 23*k**3/2 - 90*k**2. Factor s(h).
-3*(h - 1)**2*(h + 1)*(h + 23)
Let d(z) be the first derivative of 1/36*z**6 + 1/10*z**5 + 0*z + 0*z**2 + 0*z**3 + 1/12*z**4 - 3. Factor d(v).
v**3*(v + 1)*(v + 2)/6
What is i in -18/11*i**2 + 0 + 2/11*i**3 + 40/11*i = 0?
0, 4, 5
Suppose -106*l = -105*l - 3. Let b(d) be the third derivative of -1/2*d**l + 0*d - 2*d**2 - 25/8*d**6 - 15/8*d**4 - 15/4*d**5 + 0. Let b(y) = 0. Calculate y.
-1/5
Suppose -3*t**4 + 5*t**3 + 45*t**2 - 10*t**3 - t**3 + 68 - 12*t - 128 = 0. What is t?
-5, -1, 2
Let t(d) = 50*d**3 - 530*d**2 - 276*d + 317. Let h(q) = -25*q**3 + 265*q**2 + 137*q - 159. Let x(a) = 13*h(a) + 6*t(a). Factor x(w).
-5*(w - 11)*(w + 1)*(5*w - 3)
Let d = -21 + 28. Suppose d*i + 6 = 10*i. Factor i + 7*s**2 - 10*s + 3 - 2*s**2.
5*(s - 1)**2
Suppose 2*l = -3*i + l + 70, -5*l - 87 = -4*i. Let n be 1 - (4 - i/7). Find x, given that 0*x + 4/7*x**2 + 0*x**3 - n - 2/7*x**4 = 0.
-1, 1
Let d be ((-6)/(-15))/((-92)/(-690)). Factor 2/5*y**4 + 4/5*y**2 - 6/5 - 8/5*y**d + 8/5*y.
2*(y - 3)*(y - 1)**2*(y + 1)/5
Let q(o) = -4*o**3 + o**2 + 15*o - 7. Let p(v) = 4*v**3 - 2*v**2 - 14*v + 6. Let g(i) = -5*p(i) - 6*q(i). What is c in g(c) = 0?
-3, 1
Let u(f) = 2*f**2 - 9*f - 16. Let v(j) = -j**2 + 4*j + 8. Let p = 47 - 32. Let k(l) = p*v(l) + 6*u(l). Factor k(t).
-3*(t - 4)*(t + 2)
Suppose 4*l = -4*o + 6 + 10, -20 = -5*l. Let r(k) be the second derivative of 0*k**2 - 4/21*k**3 + 6*k - 2/105*k**6 + 1/10*k**5 - 2/21*k**4 + o. Factor r(s).
-2*s*(s - 2)**2*(2*s + 1)/7
Let f be (-80)/(-14) + (-34)/(-119). Suppose 12 + 0 = f*v. Solve -4/7*n + 1/7*n**v + 1/7*n**3 - 4/7 = 0.
-2, -1, 2
Let w = 1614 + -1609. Let l(k) be the third derivative of -1/3*k**3 + 0*k + 10*k**2 + 7/60*k**w - 5/24*k**4 + 0. Factor l(c).
(c - 1)*(7*c + 2)
Determine f so that -5*f - 3*f**2 - 12 + 0*f + 0 - 11*f + f = 0.
-4, -1
Let a(r) be the second derivative of -r**8/84 - r**7/30 - r**6/60 + r**5/60 - 3*r**2 + 3*r. Let h(s) be the first derivative of a(s). Factor h(w).
-w**2*(w + 1)**2*(4*w - 1)
Let g = 1/2516 - -30185/17612. What is l in g*l + 18/7*l**2 + 3/7*l**4 + 12/7*l**3 + 3/7 = 0?
-1
Let v(r) be the second derivative of -r**5/20 + r**4/2 - r**3/2 - 2*r**2 + 5*r. Let u be v(5). Factor u*a**4 + a**3 - 14*a**5 + 3*a - a**3 + 11*a**5 - 6*a**2.
-3*a*(a - 1)**3*(a + 1)
Let q be 550/33 - (-1 - 0)*(-14)/2. Solve 25/3*n**5 - q*n**3 + 4 + 4/3*n + 25*n**4 - 29*n**2 = 0.
-3, -1, -2/5, 2/5, 1
Let g(j) be the third derivative of -j**6/30 - j**5/5 + j**4/6 + 2*j**3 + 38*j**2. Factor g(d).
-4*(d - 1)*(d + 1)*(d + 3)
Determine y so that -16564*y**4 + 40*y + 16519*y**4 + 130*y**3 - 70*y**2 - 35*y**5 + 250*y**2 = 0.
-2, -1, -2/7, 0, 2
Factor -g**3 + 2 - g - 4*g + 11*g - 3*g.
-(g - 2)*(g + 1)**2
Let i = -20 + 101/5. Let v(c) be the first derivative of -1/15*c**3 + 1 - i*c + 1/5*c**2. Factor v(g).
-(g - 1)**2/5
Let u(k) be the third derivative of 5*k**7/42 - 19*k**6/12 + 8*k**5/5 + 31*k**4/12 + 7*k**3/6 + 241*k**2. Factor u(p).
(p - 7)*(p - 1)*(5*p + 1)**2
Let o(v) be the second derivative of -v**7/35 - 2*v**6/15 - v**5/5 + v**3/3 + 23*v**2 - 33*v. Let w(s) be the first derivative of o(s). Factor w(x).
-2*(x + 1)**3*(3*x - 1)
Let t(v) be the first derivative of -121*v**5/50 + 44*v**4/15 - 16*v**3/15 - 36*v - 9. Let y(j) be the first derivative of t(j). Factor y(h).
-2*h*(11*h - 4)**2/5
Let a be 1 - ((-603)/492 + 2). Let h = 1/41 + a. Suppose 1 - z + h*z**2 = 0. What is z?
2
Let a(x) be the first derivative of 0*x**3 + 0*x - 1/24*x**6 + 0*x**2 + 1/16*x**4 - 2 + 0*x**5. Factor a(o).
-o**3*(o - 1)*(o + 1)/4
Suppose -5/4*q**4 + 25/2*q**3 - 115/4*q**2 + 35/2*q + 0 = 0. What is q?
0, 1, 2, 7
Suppose -4*v - 24 = 0, v + 10 = -3*b + 13. Solve 12/7*q**4 + 2/7*q**5 + 0 - 10/7*q - 12/7*q**2 + 8/7*q**b = 0.
-5, -1, 0, 1
Let t be (-36)/(-30) + (-68)/(-85). Let 5/4*r**3 + 5/4*r + 5/2*r**t + 0 = 0. Calculate r.
-1, 0
Let n(c) be the second derivative of 0 - 5/2*c**4 + 3*c**2 - 1/2*c**3 + 4/5*c**6 + 5/14*c**7 - 51*c - 3/5*c**5. Factor n(v).
3*(v - 1)*(v + 1)**3*(5*v - 2)
Suppose 10 - 46 = -18*l. Let -3/11*i**3 + 3/11 - 7/11*i**l + 7/11*i = 0. Calculate i.
-3, -1/3, 1
Let r(m) be the second derivative of m**7/210 - 2*m**6/45 + 7*m**5/40 - 3*m**4/8 - 10*m**3/3 + 9*m. Let a(i) be the second derivative of r(i). Factor a(p).
(p - 1)*(2*p - 3)**2
Let u = 552 - 550. Factor -4/7*m + 3/7 + 1/7*m**u.
(m - 3)*(m - 1)/7
Let o(w) = -11*w**2 + 4*w + 7 - 9*w**3 + 10*w + 0*w. Let j be 4 + -3 + 8/(-4). Let m(l) = l**2 - l + 1. Let y(d) = j*o(d) + m(d). Factor y(u).
3*(u - 1)*(u + 2)*(3*u + 1)
Suppose 301*f = 291*f. Let x(y) be the first derivative of 0*y**3 + 2/15*y**5 + 0*y**2 + f*y + 3 - 1/6*y**4. Let x(v) = 0. Calculate v.
0, 1
Let f(r) be the first derivative of -r**4/18 - 8*r**3/27 + 19*r**2/9 - 28*r/9 + 101. Solve f(w) = 0 for w.
-7, 1, 2
Let o(h) be the second derivative of -3*h + 1/40*h**6 - 1/12*h**4 + 1/6*h**3 + 0 - 1/16*h**5 + 0*h**2. What is f in o(f) = 0?
-1, 0, 2/3, 2
Let h = 13272/5 - 2652. Solve -12/5 - 3/5*q**2 - h*q = 0 for q.
-2
Suppose 2*y**2 - 2*y**2 + 368*y - 4*y**2 - 15729 + 7265 = 0. Calculate y.
46
Suppose -5*y - 43 - 2 = 0. Let s be (4 + -1)/(y/(-6)). Suppose 3*p**2 + 2 + 2*p**3 + 2*p**3 - 7*p**s + 2*p**4 - 2*p**5 - 2*p = 0. Calculate p.
-1, 1
Let x(k) be the first derivative of -k**3/12 - 191*k**2/4 - 36481*k/4 + 672. Factor x(p).
-(p + 191)**2/4
Let p(j) be the third derivative of j**6/720 - j**5/360 - j**4/72 - 5*j**2 - 4*j. Let p(q) = 0. What is q?
-1, 0, 2
Let h(j) be the first derivative of 2*j**3/3 + 2*j**2 + 2*j + 8. Find s, given that h(s) = 0.
-1
Let c(z) be the second derivative of 0*z**2 - 3/10*z**6 + 9/20*z**5 + 1/14*z**7 - 1/4*z**4 + 0 - 7*z + 0*z**3. Factor c(u).
3*u**2*(u - 1)**3
Suppose 250 + 62 = 78*h. Let w(p) be the first derivative of -3/32*p**h + 0*p**3 + 3/20*p**5 - 3 + 0*p - 1/16*p**6 + 0*p**2. Factor w(m).
-3*m**3*(m - 1)**2/8
Factor -112/5 + 108/5*y + 4/5*y**2.
4*(y - 1)*(y + 28)/5
Suppose 0 = 544*c - 311 - 1321. Let -45/7*d + 6/7*d**2 + 3*d**4 - 27/7 + 3/7*d**5 + 6*d**c = 0. What is d?
-3, -1, 1
Let i(x) be the third derivative of x**5/360 + x**4/12 - 5*x**3/4 + 67*x**2. Find z such that i(z) = 0.
-15, 3
Suppose -2*h + 11 + 3 = 0. Suppose 3*k + h*k = 40. Suppose 0 + 10/7*w**3 + 8/7*w + 16/7*w**2 + 2/7*w**k = 0. What is w?
-2, -1, 0
Let w = -10 - 147. Let a = w + 159. Solve 5/9*q - 2/9 - 1/3*q**a + 1/9*q**4 - 1/9*q**3 = 0.
-2, 1
Suppose 0 = z - 4, 0 = 4*q - 0*q - 2*z - 192. Factor q*u - 21*u + 3*u**2 + 13*u + 147.
3*(u + 7)**2
Let c(u) be the third derivative of u**5/30 - 7*u**4/4 + 38*u**3/3 + 183*u**2. Factor c(h).
2*(h - 19)*(h - 2)
Let y = 83 + -82. Let r be y/(-5) - (8/60 + -1). Factor 1/3*c**3 - c + 0 + r*c**2.
c*(c - 1)*(c + 3)/3
Let b(j) = -j**2 + 9*j - 4. Let a be b(8). Let y be (-310)/(-75) - a - (-58)/15. Factor 0*i + 3/2*i**3 + 0*i**2 + 0 - 3/2*i**y.
-3*i**3*(i - 1)/2
Let i(r) = -1. Let c(x) = -x**2 + 4*x + 2. Let a(y) = -3*c(y) - 15*i(y). Find w such that a(w) = 0.
1, 3
Suppose 5*b + 4*o + 133 = 727, 4*b + 4*o = 476. Let k = 118 - b. Factor 2/9*g + k*g**2 + 0 - 2/9*g**3.
-2*g*(g - 1)*(g + 1)/9
Let n be (1180/70 + -17)*-2*4. Factor 1/7*z**3 + 4/7 + n*z + 5/7*z**2.
(z + 1)*(z + 2)**2/7
Let o = 2828 + -8482/3. Factor o - 2*n**3 + 10/3*n + 13/6*n**2.
-(n - 2)*(3*n + 2)*(4*n + 1)/6
Let g(v) be the second derivative of 0 + 7/6*v**3 - 1/1800*v**6 + 1/30*v**4 + 7*v + 0*v**2 + 0*v**5. Let x(r) be the second derivative of g(r). Factor x(c).
-(c - 2)*(c + 2)/5
Suppose 7/5*g**2 + 8/5 + 4/5*g**3 - 34/5*g = 0. Calculate g.
-4, 1/4, 2
Solve 25*r**2 + 20*r**2 - 27*r**2 - 8 - 10 - 3*r**3 + 0 + 3*r = 0 for r.
-1, 1, 6
Factor 2/5*m**3 + 0*m + 0 + 22/5*m**2.
2*m**2*(m + 11)/5
Let q be (-4)/42 - (-165)/99. Factor 3/7*j - 4/7*j**3 + 0 + q*j**2.
-j*(j - 3)*(4*j + 1)/7
Let d(c) be the third derivative of 0*c**3 + 0*c**4 + 0*c - 1/420*c**6 + 0 + 27*c**2 - 1/210*c**5. Factor d(x).
-2*x**2*(x + 1)/7
Factor 2/5*r**2 + 78/5*r + 0.
2*r