+ 10*u**2 + p*u + u - 5*u**2 = 0. Calculate u.
-1, 0
Suppose -7*b = -4*b - 3*c - 24, -4*c - 36 = -5*b. Factor 6*w**4 - w**4 + 10 - 106*w**3 + w + 101*w**3 - 15*w**2 + b*w.
5*(w - 2)*(w - 1)*(w + 1)**2
Let j(o) be the third derivative of -o**5/80 - 3*o**4/8 - 11*o**3/8 + 97*o**2. Factor j(q).
-3*(q + 1)*(q + 11)/4
Let o = -44 - -59. Determine y, given that -112*y + 108*y**3 - 108*y**4 + o + 15*y**2 - 2*y**2 + 59*y**2 + 17 = 0.
-1, 2/3
Suppose -d = 3, -d - 18 - 33 = -3*b. Let s be (4 - b)*(-1)/(-9)*-7. Let -4 + s*j - 20/3*j**2 + 4/3*j**3 = 0. What is j?
1, 3
Let s(m) be the third derivative of -m**6/180 + 2*m**5/15 - m**4 + 6*m**2 + 15. Factor s(j).
-2*j*(j - 6)**2/3
Let x(t) be the third derivative of 7*t**6/160 - 47*t**5/80 - 7*t**4/16 - 394*t**2. Determine l so that x(l) = 0.
-2/7, 0, 7
Find o such that -4/7*o**3 + 0*o + 18/7 - 2*o**2 = 0.
-3, -3/2, 1
Let a(d) be the first derivative of -9 - 5/8*d**4 + 4*d + d**2 - d**3 - 1/10*d**5. Determine n, given that a(n) = 0.
-2, 1
Let j be 1 + 0 + (-5 - (-10 - -2)). Factor -k**4 + j*k**4 - 3*k**2 - 54*k**3 + 60*k**3 - 6*k.
3*k*(k - 1)*(k + 1)*(k + 2)
Factor 0*a**3 + 641*a - 12 - 642*a + a**3 + 12*a**2.
(a - 1)*(a + 1)*(a + 12)
Let r be 3 + (9/6 - 1/2). Determine o so that -8*o**3 + 10*o + r*o**4 + 0*o - 2*o - 4 = 0.
-1, 1
Let u = 1196/1935 - 7/387. Factor 6/5 + 3/5*y - 6/5*y**2 - u*y**3.
-3*(y - 1)*(y + 1)*(y + 2)/5
Let x(h) = 23*h**2 - 524*h + 8. Let z(d) = -15*d**2 + 350*d - 5. Let w(t) = -5*x(t) - 8*z(t). Factor w(v).
5*v*(v - 36)
Let w(h) = -h**2 + 1. Let k(b) = b - 3. Let a = -1 + 3. Let g be k(a). Let x(j) = -15*j - 12. Let r(z) = g*x(z) - 6*w(z). Factor r(v).
3*(v + 2)*(2*v + 1)
Let u(b) be the second derivative of b**4/6 + 5*b**3/21 - 2*b**2/7 + 5*b + 8. Factor u(p).
2*(p + 1)*(7*p - 2)/7
Suppose 68*k - 50*k - 3*f = 9, -3*f = -2*k + 9. Let d be (-6)/8*-2 - 1. Factor k + 3/2*x**4 + 0*x + 3/2*x**3 + d*x**5 + 1/2*x**2.
x**2*(x + 1)**3/2
Factor -1/2*q**5 - 2*q**2 + 0 - 4*q**3 + 0*q - 5/2*q**4.
-q**2*(q + 1)*(q + 2)**2/2
Solve 26/5*r**2 - 4/5*r**3 - 16/5*r - 96/5 = 0.
-3/2, 4
Let f be ((-56)/14)/(0 + 1 + -3). Factor 20*o**2 - 30*o**f + 4*o**3 + 2*o + 3*o + o**3.
5*o*(o - 1)**2
Factor 108/5 + 32/5*d**2 - 138/5*d - 2/5*d**3.
-2*(d - 9)*(d - 6)*(d - 1)/5
Let r(i) be the first derivative of 2*i**3/15 - 4*i**2/5 + 6*i/5 + 88. Factor r(l).
2*(l - 3)*(l - 1)/5
Let t = -345/7 + 349/7. Let c be (8/(-42))/(2/(-3)). Suppose t - 6/7*f + c*f**2 = 0. What is f?
1, 2
Let g(v) = v**2 - v - 1. Suppose p - 8*p + 21 = 0. Let f(m) = m**2 + 9*m - 21. Let k(r) = p*g(r) - f(r). Solve k(j) = 0.
3
Let y(o) be the second derivative of 0 - 6*o - 1/10*o**5 - 5/3*o**3 - 2/3*o**4 - 2*o**2. Determine p so that y(p) = 0.
-2, -1
Let n(i) be the first derivative of i**6/6 - 7*i**5/5 + 5*i**4/2 + 6*i**3 - 27*i**2/2 - 27*i + 254. Find t such that n(t) = 0.
-1, 3
Let s(c) = 11*c**3 - 51*c**2 - 180*c. Let u(h) = h**3 - h**2. Let d(k) = s(k) - 6*u(k). Factor d(y).
5*y*(y - 12)*(y + 3)
Let v = 133 + 339. Suppose -2*u - v = -6*u. Factor 3*c - 9*c - 106*c**2 + u*c**2 - 3*c**3 - 6*c.
-3*c*(c - 2)**2
Let q be ((-135)/5)/(-3) - 2. Find k such that q*k + 3*k - 18 + 3*k**2 + 2*k + 3*k = 0.
-6, 1
Let c be 4/10*40*(-8)/(-448). Factor 0*k + 2/7*k**2 - c.
2*(k - 1)*(k + 1)/7
Factor -10/3*x**2 - 8/3*x**3 + 0*x + 2/3*x**4 + 0.
2*x**2*(x - 5)*(x + 1)/3
Let p be 9/21 - 16357/77. Let d = 1072/5 + p. What is j in d - 8/5*j - 4/5*j**2 = 0?
-3, 1
Let h(o) be the first derivative of 3*o**4/16 - 9*o**2/2 + 12*o + 131. Determine r, given that h(r) = 0.
-4, 2
Let y(p) be the third derivative of -p**5/60 - 19*p**4/24 - 8*p**3 + 9*p**2 - 4*p. Factor y(m).
-(m + 3)*(m + 16)
Let g = 142 + -139. Let q be (9 - 14) + -46*g/(-18). Factor -4*r**2 - q - 28/3*r.
-4*(r + 2)*(3*r + 1)/3
Let -384/5 + 54/5*s**5 + 1701/5*s**4 - 4008/5*s**2 - 2316/5*s - 987/5*s**3 = 0. Calculate s.
-32, -2/3, -1/2, -1/3, 2
Let y be (-21)/(-3)*((-4)/(-15))/(16/12). What is q in y*q - 1/5*q**2 - 6/5 = 0?
1, 6
Let g be 18/(-21)*(-154)/99*(0 + 1). Let p be (-6)/27 + 4/18. What is s in -g*s**2 + 0 - 4/3*s**3 + 4/3*s**4 + p*s + 4/3*s**5 = 0?
-1, 0, 1
Find b such that 188*b + 137647 - b**2 - 142065 - b**2 = 0.
47
Suppose 1 = 5*h - 9. Factor h*b**2 - b**2 + 28*b - 2*b + 169.
(b + 13)**2
Let u(z) = -60*z**3 + 87*z**2 + 93*z - 18. Let x = -41 + 36. Let m(d) = 24*d**3 - 35*d**2 - 37*d + 7. Let y(g) = x*u(g) - 12*m(g). Solve y(w) = 0 for w.
-1, 1/4, 2
Suppose 7 + 18 = -j. Let g(o) = 5*o**5 - 25*o**4 - 35*o**3 + 5*o - 25. Let l(q) = -q**4 - q**3 - 1. Let f(n) = j*l(n) + g(n). Let f(s) = 0. What is s?
-1, 0, 1
Let t be (-6624)/(-480) + (-1 - 12). Determine k, given that 14/5*k**3 + 0*k - 14/5*k**5 + 0 + t*k**4 - 4/5*k**2 = 0.
-1, 0, 2/7, 1
Let b(w) = w**2 - 2*w + 1. Let s(z) = 11*z**2 - 19*z + 8. Let i(q) = 6*b(q) - s(q). Factor i(v).
-(v - 1)*(5*v - 2)
Let s(w) = -20*w**4 - 72*w**3 + 42*w**2 + 190*w + 86. Let n(r) = -31*r**4 - 108*r**3 + 63*r**2 + 284*r + 130. Let h(a) = -5*n(a) + 7*s(a). Factor h(q).
3*(q + 1)**2*(q + 2)*(5*q - 8)
Suppose -516/13*g**2 - 1272112/13 - 2/13*g**3 - 44376/13*g = 0. Calculate g.
-86
Let p(y) be the third derivative of -y**5/30 + y**4/2 - 12*y**2. Let r be p(6). Let 0*v**2 + 2/11*v**3 - 2/11*v**4 + r*v + 0 = 0. What is v?
0, 1
Let v = 8340/23 - 63366/115. Let p = -188 - v. Solve -4/5*q**3 + 2/5*q + 0*q**4 + 0 + 0*q**2 + p*q**5 = 0.
-1, 0, 1
Suppose 536*x - 552*x + 4*x**4 + 4*x**3 + 0*x**4 - 5*x**2 - 11*x**2 = 0. Calculate x.
-2, -1, 0, 2
Let b be -1 - (-1 - 64/(-36)) - 20/(-10). Let 0 + 2/9*g**3 - 2/9*g**4 + 0*g + 2/9*g**2 - b*g**5 = 0. Calculate g.
-1, 0, 1
Suppose -5*o = -4 - 6. Factor 20*f**2 - 12*f**2 + 60*f - 77*f**o - 12 + 21*f**3.
3*(f - 2)*(f - 1)*(7*f - 2)
Let f(u) be the third derivative of 0*u - 1/105*u**5 + 0 - 4/21*u**3 + 3/28*u**4 - 40*u**2. Find k, given that f(k) = 0.
1/2, 4
Let k(r) be the first derivative of -r**6/15 - 5*r + 8. Let c(z) be the first derivative of k(z). Factor c(n).
-2*n**4
Let g be 3 - ((-624)/143 + 4 - (-238)/110). Determine x so that g*x**4 - 2/5*x**3 + 0 - 6/5*x**2 + 2/5*x = 0.
-1, 0, 1/3, 1
Let z(y) be the first derivative of y**6/1980 + y**5/660 - y**4/66 - 13*y**3/3 - 7. Let p(h) be the third derivative of z(h). Factor p(j).
2*(j - 1)*(j + 2)/11
Let -24*u**2 + 47*u**2 + 9*u - 18*u**2 - 14 = 0. Calculate u.
-14/5, 1
Let c(u) be the second derivative of u**8/2016 + u**7/1260 - u**6/360 - 5*u**2/2 + 11*u. Let o(r) be the first derivative of c(r). Factor o(x).
x**3*(x - 1)*(x + 2)/6
Let r(i) be the first derivative of 3/8*i**4 + 1/2*i**3 - 3/4*i**2 - 3/10*i**5 - 5 + 0*i. Factor r(b).
-3*b*(b - 1)**2*(b + 1)/2
Let g be 22/6 + (-4)/(-12). Factor -24 + g*i - i + 22*i**2 + 3*i - 2*i**4 - 2*i + i**5 - 9*i**3.
(i - 2)**3*(i + 1)*(i + 3)
Find d such that -8*d + 2*d + 1 - 11 - d**2 - d = 0.
-5, -2
Let q(i) be the second derivative of 1/15*i**6 + 2/3*i**3 + 0*i**4 - i**2 - 1/5*i**5 - 9*i + 0. Factor q(h).
2*(h - 1)**3*(h + 1)
Suppose -11 = -5*k - x, k + x = -6 + 5. Find y, given that 0 - 1/4*y**k - y - y**2 = 0.
-2, 0
Suppose 0 = -7*u - 1 - 13. Let i(t) = -7*t**4 + 3*t**3 - 3*t**2 - 3*t. Let c(o) = 3*o**4 - o**3 + o**2 + o. Let q(p) = u*i(p) - 5*c(p). Factor q(d).
-d*(d - 1)*(d + 1)**2
Factor 2*j**3 + 26*j - 20 - 15*j**2 + 33*j**2 - 4*j**3 - 22*j**2.
-2*(j - 2)*(j - 1)*(j + 5)
Let k(y) = -y**2 + 9*y + 12. Let w(i) = 11*i**3 - i**2 + i - 1. Let l be w(1). Let q be k(l). Factor 2/7*s + 2/7*s**3 + 0 + 4/7*s**q.
2*s*(s + 1)**2/7
Let k(v) be the third derivative of -v**7/70 - 9*v**6/40 - 11*v**5/10 + 16*v**3 - 223*v**2 - 1. Factor k(c).
-3*(c - 1)*(c + 2)*(c + 4)**2
Let b be (-15)/((-1050)/(-20))*-7. Find p such that -3/5*p**b - 9/5*p - 6/5 = 0.
-2, -1
Suppose 0 = d + 87 - 92. Let g(s) be the first derivative of 1/45*s**6 - 1/30*s**4 + 0*s + 0*s**2 - 4/45*s**3 - 10 + 4/75*s**d. What is x in g(x) = 0?
-2, -1, 0, 1
Suppose 0 = 37*q - 33*q - 8. Let l(t) be the second derivative of t - 1/30*t**5 + 1/9*t**3 + 0*t**q + 1/36*t**4 - 1/90*t**6 + 0. Factor l(z).
-z*(z - 1)*(z + 1)*(z + 2)/3
Let t(d) = -23*d**4 + 75*d**3 - 85*d**2 + 16*d + 10. Let a(g) = g**4 - g**3 + g**2. Let n(x) = 14*a(x) + 2*t(x). Find w such that n(w) = 0.
-1/4, 1, 5/2
Let y(z) be the second derivative of z**7 + 46*z**6/3 - 27*z**5/10 - 30*z**4 - 44*z**3/3 + z + 30. Determine m, given that