u + 9. Let v be (-151)/(-7) - 8/14. Let w(l) = 3*l**2 - l - 2. Let y(c) = v*w(c) + 5*g(c). Factor y(x).
3*(x - 1)**2
Let y(v) be the second derivative of 7/6*v**3 - 10*v + 25/72*v**4 + 3/4*v**2 + 1/30*v**5 + 0. Determine u, given that y(u) = 0.
-3, -1/4
Suppose 2*r + 2*r - 144 = 0. Suppose -4*l + r = 5*s, 5*l - 5 = s + 11. Factor -2*m**2 + 4*m + 4*m**2 - 4*m**3 - 4*m + l*m - 2*m**4.
-2*m*(m - 1)*(m + 1)*(m + 2)
Let p = 45 - 42. Factor -20*o**5 + 0*o + 0*o - 32*o**4 + 110*o**p - 94*o**3.
-4*o**3*(o + 2)*(5*o - 2)
Let o(c) be the first derivative of -c**8/420 - c**7/70 - c**6/45 + 6*c**3 + 13. Let h(q) be the third derivative of o(q). Factor h(g).
-4*g**2*(g + 1)*(g + 2)
Let r(q) = -q**3 - q - 1. Suppose 2 = -p - p. Let y be r(p). Factor 3*d**2 + 6 - y + 0*d**2 + 6*d - 2.
3*(d + 1)**2
Suppose -5*x - 4*i + 18 = 0, -3*x = -2*i + 61 - 63. Let -9/4*z**5 + 0 + 0*z + 1/4*z**x - 7/4*z**3 + 15/4*z**4 = 0. Calculate z.
0, 1/3, 1
Let w(k) = -375*k**2 - 300*k - 43. Let j(s) = -125*s**2 - 100*s - 14. Let l(u) = 17*j(u) - 6*w(u). Determine f so that l(f) = 0.
-2/5
Find w such that -32*w**3 + 97*w**3 - 48*w - 100*w**2 + 5*w**4 - 13*w**3 = 0.
-12, -2/5, 0, 2
Let t = 43 + -43. Suppose t = -14*y + 39 + 3. Factor 0 - 16/11*s**2 + 24/11*s**y - 12/11*s**4 + 2/11*s**5 + 0*s.
2*s**2*(s - 2)**3/11
Let i(g) be the first derivative of g**6/72 + g**5/60 - 4*g**4/9 + 2*g**3/3 - 35*g**2/2 + 12. Let a(k) be the second derivative of i(k). What is b in a(b) = 0?
-3, 2/5, 2
Let r be (-80)/2*3*(-19)/114. Determine k, given that 32*k**4 + 0 - 64/3*k**5 + 92/3*k**3 + 8/3*k - r*k**2 = 0.
-1, 0, 1/4, 2
Suppose 6*m + 5 = 5*m. Let n be -1 + 1 + 4 + 18/m. Factor 0 + 0*c - 2/5*c**4 + 0*c**3 + n*c**2.
-2*c**2*(c - 1)*(c + 1)/5
Let u be 23/7 + (-12)/42. Solve -17*c + c**u - 4*c**5 + 17*c = 0.
-1/2, 0, 1/2
Let r = 217/345 - 2/69. Let t(f) be the first derivative of 1/2*f + 5/6*f**3 - r*f**5 - 2 - 1/4*f**4 - 5/24*f**6 + 9/8*f**2. Find d, given that t(d) = 0.
-1, -2/5, 1
Let k(o) be the first derivative of -3*o**4/4 - 4*o**3 - 15*o**2/2 - 6*o + 149. Factor k(d).
-3*(d + 1)**2*(d + 2)
Suppose 2*d - 2*y - 8 = 0, 4*d = 5*y - 7 + 24. Factor 3/2*s**4 + 0 - 1/2*s**d - 1/6*s - 5/6*s**2.
s*(s - 1)*(3*s + 1)**2/6
Let n be 3 - (4 + -8)/(1*32/(-24)). Factor -1/6*o**2 + 0 + 2/3*o**3 + n*o.
o**2*(4*o - 1)/6
Let k(z) be the third derivative of z**6/540 + 7*z**5/135 - z**4/108 - 14*z**3/27 + 215*z**2. Factor k(p).
2*(p - 1)*(p + 1)*(p + 14)/9
Factor 1/2*a**2 + 1/2*a**4 - 3/2*a - 1 + 3/2*a**3.
(a - 1)*(a + 1)**2*(a + 2)/2
Let a(t) = 3*t**2 + 37*t + 9. Let y be a(-13). Factor 8*f - 13*f - 5*f**2 + y - 41*f + 16*f.
-5*(f - 1)*(f + 7)
What is y in -2/3*y**5 - 26/3*y + 28/3*y**3 + 20/3 - 4/3*y**4 - 16/3*y**2 = 0?
-5, -1, 1, 2
Let j(a) = -21*a**2 - 3*a - 30. Let u = -7 + 6. Let o(h) = -h**2 - h - 1. Let r(v) = u*j(v) + 18*o(v). Factor r(z).
3*(z - 4)*(z - 1)
Suppose -25*t + 7 = 5*q - 24*t, -5*t + 35 = 3*q. Find j such that 0 + q*j**2 + 0*j**3 + 0*j - 4/7*j**4 = 0.
0
Let l(r) = -r + 14. Let v be l(11). Suppose -v*q + 4*q = 2. Factor -2*y**q + 4*y**2 - y - 4*y**2 + 3*y**2.
y*(y - 1)
Suppose -7 = -12*p - 7. Let h(g) be the second derivative of p*g**3 + 1/6*g**4 + 1/10*g**5 + 0 + 0*g**2 + 5*g. Factor h(k).
2*k**2*(k + 1)
Let c(t) be the third derivative of -t**8/28 - 8*t**7/35 - 23*t**6/40 - 7*t**5/10 - 3*t**4/8 - 94*t**2. Find l such that c(l) = 0.
-3/2, -1, -1/2, 0
Let y(c) be the second derivative of c**5/80 + c**4/8 - 43*c - 1. Factor y(a).
a**2*(a + 6)/4
Let p = 1294/693 + -24/77. Suppose 3 + 3 = 3*o. Factor -8/9 - p*z**o - 22/9*z.
-2*(z + 1)*(7*z + 4)/9
Let u(w) be the first derivative of -w**4/4 + 4*w**3 - 24*w**2 + 4*w + 7. Let s(f) be the first derivative of u(f). Factor s(o).
-3*(o - 4)**2
Let q(p) be the first derivative of 3*p**5/5 - 9*p**4/4 - 196. Determine d so that q(d) = 0.
0, 3
Let j(v) be the third derivative of v**6/30 + v**5/15 - 364*v**2. Determine r, given that j(r) = 0.
-1, 0
What is w in 0 + 0*w - 36/7*w**2 + 40/7*w**3 - 4/7*w**4 = 0?
0, 1, 9
Let s(n) be the second derivative of 5*n**7/42 - n**5/4 + 232*n. Factor s(p).
5*p**3*(p - 1)*(p + 1)
Suppose -256 + 67*h - 94*h**2 + 96*h**2 + 57*h = 0. Calculate h.
-64, 2
Let g be (-102)/5*176/24. Let r = g - -150. Factor r*w**2 - 4/5*w + 0.
2*w*(w - 2)/5
Let 4*g**4 + 1 + 29*g**2 - 61*g**2 - 8*g**3 - 37 + 72*g = 0. Calculate g.
-3, 1, 3
Let z(i) be the first derivative of i**7/273 + 4*i**6/195 + i**5/26 + i**4/39 + 10*i - 4. Let c(u) be the first derivative of z(u). Find j such that c(j) = 0.
-2, -1, 0
Let b(m) = 3*m**2 + 193*m + 68. Let i be b(-64). Let -8/7 - 74/7*p**i - 134/7*p**2 + 8*p + 2*p**5 + 146/7*p**3 = 0. What is p?
2/7, 1, 2
Let j be 18/(-6) - (-1 - 30). Suppose u - 30*u**2 + j*u**2 + 9*u = 0. What is u?
0, 5
Let j(s) = 20 + 13 + 9*s + 3*s - 2*s. Let m be j(-3). Determine u, given that 2/3*u**4 + 2/3*u**m - 10/3*u - 4/3 - 2*u**2 = 0.
-1, 2
Suppose -2*a + 20*a = -15*a - 9*a. Find t, given that 3/4*t - 3/4*t**3 + a + 0*t**2 = 0.
-1, 0, 1
Let d(a) = -10*a**2 - 5*a + 5. Let l be ((-2)/(-3))/((-2)/15). Let b(z) = -4 + 7*z + 9*z**2 - 2*z - z. Let v(t) = l*b(t) - 4*d(t). Factor v(h).
-5*h**2
Factor -3/7*g**2 + 6/7 + 3/7*g.
-3*(g - 2)*(g + 1)/7
Suppose 4*u = 2*m - 22, 4*m + 24 = 8*m - 3*u. Solve 11*j - 8*j - 9*j**m + 196*j**4 - 96*j**2 + 13*j + 93*j**3 = 0.
-1, 0, 2/7
Let t be ((-9)/189)/((-3)/(4/2 - -5)). Factor t - 5/9*h - 2/3*h**2.
-(h + 1)*(6*h - 1)/9
Let k(l) be the second derivative of -l**5/40 + l**4/12 + l**3/12 - l**2/2 + 112*l. Factor k(a).
-(a - 2)*(a - 1)*(a + 1)/2
Let r = -185 - -188. Let d(b) be the first derivative of 2/3*b**r + 3/8*b**4 - 1/12*b**6 + 0*b + 3 - 1/5*b**5 - b**2. Find f, given that d(f) = 0.
-2, 0, 1
Let k(v) be the third derivative of -v**5/75 + 47*v**4/30 + 32*v**3/5 - 93*v**2. Determine u so that k(u) = 0.
-1, 48
Suppose -2*y + 4*l = -36, -193*y = -192*y + l + 6. Factor -12/7*q**y + 16/7*q + 0 - 4/7*q**3.
-4*q*(q - 1)*(q + 4)/7
Let k(b) = b**3 + 15*b**2 + 12*b - 26. Let v be k(-14). Suppose 0 = -v*p + 7*p + 6*p. Solve 0 + p*y + 1/5*y**4 + 1/5*y**3 - 1/5*y**2 - 1/5*y**5 = 0 for y.
-1, 0, 1
Let s = -18915/11 + 1720. Suppose 6/11*l - 1/11*l**2 - s = 0. Calculate l.
1, 5
Let r(b) be the first derivative of b**5/5 + 3*b**4/4 - b**3/3 - 3*b**2/2 - 88. Factor r(n).
n*(n - 1)*(n + 1)*(n + 3)
Let p(m) be the first derivative of -1/34*m**4 + 12 - 8/17*m + 2/51*m**3 + 4/17*m**2. What is z in p(z) = 0?
-2, 1, 2
Let f(b) = b**2 + b + 2. Let n(w) = -w**2 - 1. Let i(q) = -f(q) - 3*n(q). Let v be i(1). What is l in 8 + l - 7*l - 4*l**v + 2*l = 0?
-2, 1
Let n(f) = -19*f**4 + 34*f**3 - 11*f**2 - 8*f - 2. Let j(p) = -18*p**4 + 33*p**3 - 12*p**2 - 9*p - 3. Let w = 57 + -54. Let y(a) = w*n(a) - 2*j(a). Factor y(l).
-3*l*(l - 1)**2*(7*l + 2)
Solve 0 + 2/3*b**3 - 8/3*b + 0*b**2 = 0 for b.
-2, 0, 2
Let n(f) be the second derivative of -3*f**5/40 + 5*f**4/4 - 25*f**3/4 - 26*f. Factor n(h).
-3*h*(h - 5)**2/2
Let h(a) = -3*a**3 + 12*a**2 - 11*a + 2. Let s be 5/(-25) - 228/(-15). Let x(y) = -21*y**3 + 84*y**2 - 78*y + 15. Let c(k) = s*h(k) - 2*x(k). Factor c(m).
-3*m*(m - 3)*(m - 1)
Let w(l) be the second derivative of -l**6/6 + 11*l**5/4 - 175*l**4/12 + 125*l**3/6 - 279*l. Factor w(g).
-5*g*(g - 5)**2*(g - 1)
Let d(x) be the first derivative of 2*x**6/3 - 168*x**5/5 + 588*x**4 - 10976*x**3/3 - 18. What is y in d(y) = 0?
0, 14
Let u be 3*2/4*-2. Let t be 1 - (-2 + u - -4). Factor -t*a + 4*a + 8 - 4*a**2 + 3*a - a.
-4*(a - 2)*(a + 1)
Let h(l) be the first derivative of -54/35*l**5 + 6/7*l - 8/7*l**3 + 9/14*l**2 - 5/14*l**6 - 20 - 33/14*l**4. Determine j, given that h(j) = 0.
-1, 2/5
Suppose -29*u + 13 = -39 - 6. Let a be (2/4)/((-3)/(-24)). Factor 3*r**3 + 1/2*r**a + 13/2*r**2 + 6*r + u.
(r + 1)**2*(r + 2)**2/2
Let n = 2/1905 - -2284/1905. Let m(o) be the first derivative of 4/5*o**2 - 2 - 2/15*o**3 - n*o. Suppose m(f) = 0. Calculate f.
1, 3
Let p = 1123 + -1123. Let y(z) be the second derivative of -10*z + 1/20*z**5 + 0*z**4 + 0 + p*z**2 - 1/6*z**3. Factor y(k).
k*(k - 1)*(k + 1)
Let y(h) be the second derivative of -h**9/7560 - h**8/1680 + h**7/420 - h**4/3 + h. Let o(l) be the third derivative of y(l). Find u such that o(u) = 0.
-3, 0, 1
Suppose -2*o + 6 = b, -79*o + 77*o + 4 = 0. Find p, given that b*p + 5 + 1/5*p**2 = 0.
-5
Let c(q)