*l**2 + 8 - 4/3*l**v - 4*l. Factor j(z).
-4*(z + 1)**2
Let f be -3 + -7 + 3 - -7. Find q, given that 0*q - 1/4*q**3 - 3/4*q**2 + f = 0.
-3, 0
Suppose 3*a - 27 = -33. Let c be a - (-5 + 6/2). Factor c*b**2 + 2/3*b**4 + 4/3*b**3 - 2/3 - 4/3*b.
2*(b - 1)*(b + 1)**3/3
Let z(r) = -r**2 + 14*r + 54. Let n be z(17). Factor 4*v**n + 11*v**2 - 1372 - 54*v**2 - 41*v**2 + 588*v.
4*(v - 7)**3
Let q = 404 + -846. Let x = q + 3110/7. Factor -36/7*l**2 - x - 48/7*l.
-4*(3*l + 2)**2/7
Let d(v) be the first derivative of 4*v**5/45 - 2*v**4/9 - 76*v**3/27 - 56*v**2/9 - 16*v/3 - 207. Find y, given that d(y) = 0.
-2, -1, 6
Let x(q) be the third derivative of -q**6/80 + 9*q**5 - 2700*q**4 + 432000*q**3 - 535*q**2. Solve x(y) = 0.
120
Factor -1 - 1 - m - 10*m**2 + 5 + 1 + 7*m**3.
(m - 1)**2*(7*m + 4)
Let x = -1133 - -1136. Let r(f) be the second derivative of 0 + 8*f - 1/48*f**4 + 1/8*f**2 + 1/80*f**5 - 1/24*f**x. Let r(g) = 0. Calculate g.
-1, 1
Let -64/9*g - 4/9*g**4 - 20/9 - 8*g**2 - 32/9*g**3 = 0. What is g?
-5, -1
Let u(h) = -2*h**3 - 43*h**2 - 58*h + 43. Let t be u(-20). Find n such that -4/9*n**2 + 4/9 - 2/9*n**t + 2/9*n = 0.
-2, -1, 1
Let h(l) = 124*l - 3594. Let b be h(29). Let m be (-33)/(-36) + (-2)/8. Factor -4/9*s + 0 + 10/9*s**3 - m*s**b.
2*s*(s - 1)*(5*s + 2)/9
Let u(z) be the second derivative of 4/105*z**6 - 2/21*z**3 + 0 + 0*z**4 + 0*z**2 - 17*z + 3/35*z**5. Factor u(j).
4*j*(j + 1)**2*(2*j - 1)/7
Let w be ((-1)/(-8))/(1/4)*0. Let x(h) be the second derivative of h**4 - h + 2/3*h**3 + w*h**2 + 0 + 3/5*h**5 + 2/15*h**6. Suppose x(m) = 0. Calculate m.
-1, 0
Let v(o) be the second derivative of o**6/6 - o**5/2 - 5*o**4/12 + 5*o**3/3 + 42*o - 2. What is p in v(p) = 0?
-1, 0, 1, 2
Let k(v) = -7*v**3 - 3*v**2 + 25*v - 21. Let l(t) = 12*t**3 + 7*t**2 - 50*t + 41. Let q(p) = -5*k(p) - 3*l(p). What is a in q(a) = 0?
-9, 1, 2
Let q = -79 + 81. Let r(d) be the first derivative of d**2 - q*d - 1/6*d**3 - 4. Factor r(n).
-(n - 2)**2/2
Suppose -2*f = -a - 2 - 7, -3*a = f - 8. Let j(d) be the third derivative of -6*d**2 + 0 - 1/6*d**3 + 0*d + 1/120*d**f - 1/48*d**4. Factor j(y).
(y - 2)*(y + 1)/2
Let r(w) be the first derivative of -w**4/2 + 8*w**3/3 - w**2 - 12*w + 56. Factor r(u).
-2*(u - 3)*(u - 2)*(u + 1)
Let h(y) = -58*y + 4065. Let c be h(70). Find n, given that -15/2*n + 5/2*n**3 + 0 + c*n**2 = 0.
-3, 0, 1
Suppose 9 - 31 - 14*w + 60*w**3 + 16 + 24*w**2 - w = 0. Calculate w.
-1/2, -2/5, 1/2
Suppose 11/3*r**2 - 2/3 + 3*r = 0. What is r?
-1, 2/11
Suppose 0 = -5*k + 9 - 34, -4*z = -3*k - 23. Suppose 2/9*a**z + 10/9 + 4/3*a = 0. Calculate a.
-5, -1
Factor -155*b**2 - 43 - 27 + 171*b**2 - 54 + 492*b.
4*(b + 31)*(4*b - 1)
Let h = 233/2 + -2329/20. Let f(n) be the third derivative of 11/450*n**5 + 7*n**2 - 2/45*n**3 - h*n**4 + 0*n + 0. Let f(d) = 0. What is d?
-2/11, 1
Let j(h) = 3*h**3 + 32*h**2 + 16*h. Let v(o) = 6*o**3 + 64*o**2 + 33*o. Let l(n) = -7*j(n) + 4*v(n). Factor l(p).
p*(p + 10)*(3*p + 2)
Factor -27*y**2 - 25*y**2 - 72*y**3 + 28*y**3 - 8*y**4 - 16*y.
-4*y*(y + 1)*(y + 4)*(2*y + 1)
Let d(l) be the second derivative of 1/6*l**4 + 0*l**2 - 1/7*l**7 - 1/15*l**6 - 14*l + 0 + 0*l**3 + 3/10*l**5. Find t, given that d(t) = 0.
-1, -1/3, 0, 1
Let y be 10/8 - 6/(-8). Factor -1/6*k**3 - 1/6 - 1/2*k - 1/2*k**y.
-(k + 1)**3/6
Let n be (-20)/(-8)*(-12)/(-15). Let w = 2 + n. Let w*g**2 + 16*g**3 - 4*g**2 - 24*g**3 - 4*g**4 = 0. What is g?
-2, 0
Let b(h) = -h**2 + 6*h + 2. Let l be b(0). Let s(i) be the third derivative of 0 + 0*i**4 - 5*i**2 - 1/20*i**5 + 0*i + l*i**3. Factor s(w).
-3*(w - 2)*(w + 2)
Let p be 25 + (-43134)/1722 - (-133)/205. Solve 0*f + p*f**3 + 3/5*f**5 + 0*f**2 - 6/5*f**4 + 0 = 0.
0, 1
Factor 51*n + 9102*n**2 - 4531*n**2 + 3*n**3 - 4517*n**2.
3*n*(n + 1)*(n + 17)
Let q(y) be the first derivative of y**6/30 + 4*y**5/25 - y**4 + 2*y**3/3 + 19*y**2/10 - 14*y/5 + 151. Let q(k) = 0. What is k?
-7, -1, 1, 2
Find c such that 20/7*c**4 - 40/7*c**2 + 20/7 - 4/7*c**5 - 4/7*c + 8/7*c**3 = 0.
-1, 1, 5
Let j(u) be the first derivative of 3*u**5/4 - 27*u**4/32 - 23*u**3/8 + 3*u/2 + 53. Find v such that j(v) = 0.
-1, -1/2, 2/5, 2
Let a(t) be the second derivative of -t**5/30 + 13*t**4/9 + 55*t**3/9 + 28*t**2/3 - 103*t. Factor a(w).
-2*(w - 28)*(w + 1)**2/3
Let g = 404 - 401. Let x(k) be the first derivative of 0*k + 1/3*k**g - 5 + 1/2*k**2. Factor x(t).
t*(t + 1)
Let f(x) = -x**4 - 2*x**3 - x**2 + x. Let p(a) = a**5 - a**4 - 6*a**3 - 2*a**2 + 2*a. Let b(t) = 6*f(t) - 3*p(t). Suppose b(q) = 0. Calculate q.
-2, 0, 1
Let c(y) be the third derivative of -y**7/70 - y**6/10 + 2*y**4 + 8*y**3 + 73*y**2. Factor c(x).
-3*(x - 2)*(x + 2)**3
Factor -36*f + 0 - 2/3*f**2.
-2*f*(f + 54)/3
Let f(a) be the first derivative of -1/6*a**3 + 1/10*a**5 + 0*a - 8 - 1/16*a**4 + 1/8*a**2. Factor f(l).
l*(l - 1)*(l + 1)*(2*l - 1)/4
Find c, given that 81/7*c**4 + 225/7*c**3 + 72/7*c + 219/7*c**2 + 0 + 3/7*c**5 = 0.
-24, -1, 0
Let l(c) be the first derivative of -c**6/2 - 18*c**5/5 - 27*c**4/4 - 4*c**3 + 737. Factor l(t).
-3*t**2*(t + 1)**2*(t + 4)
Let d(n) be the second derivative of -n**7/70 - 17*n**6/50 + 171*n**5/100 - 59*n**4/20 + 2*n**3 + 193*n + 1. Solve d(b) = 0 for b.
-20, 0, 1
Suppose -10 = -3*s - 2*s. Suppose s*u - 7*u = 0. Find c such that -11 + c**2 + 12 + 2*c + u*c**2 = 0.
-1
Let r(x) = -5*x**2 - x + 6. Let t be 4/(-4) + 2 + 1. Suppose -t*q - 18 = -20. Let u(j) = j**2 - 1. Let n(b) = q*r(b) + 4*u(b). Let n(m) = 0. Calculate m.
-2, 1
Let -44*i**2 + 16*i + 37521 + 10*i**3 - 37521 = 0. Calculate i.
0, 2/5, 4
Let z(v) be the first derivative of -2*v**3/3 + 8*v**2 - 30*v - 920. Factor z(g).
-2*(g - 5)*(g - 3)
Let m be (93/31)/(-2 + -1*21/(-6)). Solve 1/6*o**4 + 0 - 1/2*o**3 - 1/6*o + 1/2*o**m = 0 for o.
0, 1
What is b in -136/7*b**2 + 0 + 10/7*b**4 + 96/7*b + 32/7*b**3 - 2/7*b**5 = 0?
-4, 0, 1, 2, 6
Let a(d) = -d**2 + 22*d + 37. Let f be a(23). Factor 156*q**4 + 4*q**5 - 140*q**4 - 2*q**3 + f*q**3.
4*q**3*(q + 1)*(q + 3)
Let v(l) = 8*l**2 - 36*l. Let x(r) = r + 4*r - 39*r**2 + 38*r**2. Let w(b) = -6*v(b) - 44*x(b). Factor w(p).
-4*p*(p + 1)
Let d(p) = 13*p**2 + 869*p + 62203. Let u(m) = 15*m**2 + 870*m + 62202. Let t(f) = -6*d(f) + 5*u(f). Let t(w) = 0. Calculate w.
-144
Let h(k) be the first derivative of k**3/3 - 5*k**2 + 9*k - 372. Factor h(q).
(q - 9)*(q - 1)
Factor 0 + 2/7*s**2 + 178/7*s.
2*s*(s + 89)/7
Let u(f) = f**3 + 5*f**2 + 94*f + 365. Let z be u(-4). Determine i so that 27/2*i**4 - 21/2*i**z + 18*i**3 + 0*i + 0 - 6*i**2 = 0.
-1, 0, 2/7, 2
Determine j so that -216*j**2 - 2*j**4 + 0*j**4 - 34*j**3 - 263 - 377 + 21*j - 629*j = 0.
-5, -4
Let g(z) = -z + 5. Let f be g(0). Let x be 190/f + (-5 - -1). Let -150*b**3 - 6*b - 35*b**4 - 70*b**2 - x*b - 110*b**2 = 0. Calculate b.
-2, -2/7, 0
Let x(s) be the third derivative of -s**5/30 + 19*s**4/108 - 2*s**3/27 + 81*s**2. Suppose x(n) = 0. What is n?
1/9, 2
Let t(m) be the third derivative of -2*m**7/315 - 2*m**6/45 + m**5/3 + m**4 - 69*m**2 + 1. Suppose t(n) = 0. Calculate n.
-6, -1, 0, 3
Let i(u) be the second derivative of 0 - 1/5*u**4 + 1/50*u**5 - 4/5*u**2 + 2*u + 3/5*u**3. Factor i(s).
2*(s - 4)*(s - 1)**2/5
Let q(m) be the second derivative of -m**5/15 - 11*m**4/3 - 242*m**3/3 - 7*m**2/2 - 24*m. Let b(a) be the first derivative of q(a). Factor b(r).
-4*(r + 11)**2
Let m(w) be the first derivative of -w**5/70 - 4*w**4/21 - 16*w**3/21 - 7*w + 2. Let r(c) be the first derivative of m(c). Factor r(n).
-2*n*(n + 4)**2/7
Let m = 20957/3 + -6985. Solve 2*w - 2*w**3 - 2/3*w**2 - m*w**4 + 4/3 = 0 for w.
-2, -1, 1
Let w = -1171 - -1173. Let -2/3*g**4 + 0 + 2*g**w - 4/3*g + 0*g**3 = 0. Calculate g.
-2, 0, 1
Let m be (4/30)/((-2)/(-10)). Suppose -8*s + 3*s + 2*d = -22, -3 = -2*s - 5*d. Factor 0*n**2 + 0 + m*n**s + 0*n**3 - 2/3*n**5 + 0*n.
-2*n**4*(n - 1)/3
Let r(u) = 2*u**3 + 8*u**2 - 10*u + 3. Suppose -161 + 66 = -5*q. Let b(i) = -2*i + 6 - q*i + 3*i**3 + 15*i**2 + 2*i. Let t(j) = 3*b(j) - 5*r(j). Factor t(s).
-(s - 3)*(s - 1)**2
Let x(w) be the first derivative of 0*w + 41 + 0*w**3 - 5/2*w**4 - 5/6*w**6 + 0*w**2 + 3*w**5. Factor x(r).
-5*r**3*(r - 2)*(r - 1)
Let v(p) be the third derivative of -5/2*p**3 + 0*p + 0 + 6*p**2 - 5/12*p**4 + 1/12*p**5. Let v(z) = 0. Calculate z.
-1, 3
Solve 68*b + 14*b**2 + 42 + 102 - 23*b**2 - 16 + 