0*y**4 + 49*y**3 + 11*y**5 - 40 + 10*y**2 - 29*y + 6*y**3.
5*(y - 1)*(y + 1)*(y + 2)**3
Let t be ((-3)/(-9))/1 - (-68188)/30492. Let k = t - -2/1089. What is l in -75/7*l**2 + 69/7*l**3 + 3/7*l - 15/7*l**4 + k = 0?
-2/5, 1, 3
Suppose -a - 1 + 3 = 0. Suppose 23*r**a + 24*r**2 - 38*r**2 - 9*r - 3*r**3 + 3 = 0. Calculate r.
1
Let t(j) be the second derivative of 16/3*j**3 + 2/15*j**6 - 15*j - j**4 - 1 - 8*j**2 - 2/5*j**5. Factor t(w).
4*(w - 2)*(w - 1)**2*(w + 2)
Let n(x) = -3*x**4 - 4*x**3. Let t(l) = 0*l**4 + 2*l**4 - 389*l**3 + 2*l**2 + 392*l**3 - l**2. Let b(i) = 3*n(i) + 4*t(i). Find o such that b(o) = 0.
-2, 0, 2
Let q(b) = b + 6. Let i be q(-3). Factor -10*s + 5*s - 4*s**i + 9*s.
-4*s*(s - 1)*(s + 1)
Suppose 27*c = -10*c. Let s(w) be the first derivative of c*w - 16/3*w**3 + 8*w**2 + 1 + w**4. Determine q, given that s(q) = 0.
0, 2
Let 3*x**2 - 4*x + 3/2*x**3 - 1/2*x**4 + 0 = 0. What is x?
-2, 0, 1, 4
Let x be ((-205)/(-82))/(1/2). Let c(a) be the third derivative of -121/60*a**x + 0*a + 5*a**2 + 0 - 2/3*a**3 - 11/6*a**4. Factor c(k).
-(11*k + 2)**2
Let n be 1390/2502 + (-4)/18. Factor -n*j**4 + 2/3*j**3 - 2/3*j - 1 + 4/3*j**2.
-(j - 3)*(j - 1)*(j + 1)**2/3
Let i be ((-112)/(-35))/((-1)/(-5)). What is f in i - 20 - 2*f + 6*f**2 + 0 = 0?
-2/3, 1
Let k(p) be the second derivative of -p**5/10 + 5*p**4/2 - 26*p**3/3 + 57*p - 5. Find b, given that k(b) = 0.
0, 2, 13
Let x(w) = 2*w**2 - 24*w + 42. Let a be x(10). Let t(i) be the first derivative of 0*i**3 - 1/4*i**4 + 6 + 1/5*i**5 + 0*i + 0*i**a. Factor t(n).
n**3*(n - 1)
Let k(c) = -42*c - 669. Let g be k(-16). Solve 6*s + 36/19 - 26/19*s**g - 6/19*s**4 + 10/19*s**2 = 0 for s.
-3, -1/3, 2
Let w be (1/(-4) - 2)/(11/220). Let c be 5/(25/(-2)) + (-78)/w. Find u such that c + 10/3*u**2 + 14/3*u = 0.
-1, -2/5
Let k be ((-34)/408)/(1/(-2)). Let f(r) be the first derivative of -k*r**3 - 1/2*r**2 + 7 + 3/2*r. Solve f(m) = 0 for m.
-3, 1
Let -62*k**2 - 28 - 3*k**3 + 50*k**2 - 31 + 59 = 0. Calculate k.
-4, 0
Let j(l) be the first derivative of 2*l**3/9 + 59*l**2/3 + 76*l + 80. Factor j(k).
2*(k + 2)*(k + 57)/3
Factor 1/4*b**2 + 5/2*b + 0.
b*(b + 10)/4
Let f be (((-192)/20)/(-8))/(3/10). Let a = -4 - -12. Let -3*z**3 + a*z**5 + 2*z**f + 3*z**2 - 5*z**4 - 5*z**5 = 0. Calculate z.
-1, 0, 1
Let k(a) = a**2 + 28*a. Let c(q) = 2*q**2 + 56*q. Let t(i) = 4*c(i) - 9*k(i). Let j be t(-28). Factor -4/3*o**2 + j*o - 4*o**4 + 4*o**3 + 0 + 4/3*o**5.
4*o**2*(o - 1)**3/3
Let m(g) = g**3 - 10*g**2 + 2. Suppose 18*u - 110 - 70 = 0. Let n be m(u). Solve 9/2*j**n + 0 + 3/2*j - 9/2*j**4 - 3/2*j**3 = 0 for j.
-1, -1/3, 0, 1
Let d(i) be the first derivative of i**4/4 - i**3/3 - 7*i**2 + 24*i - 33. What is j in d(j) = 0?
-4, 2, 3
Determine s so that 8978/15*s + 0 - 268/15*s**2 + 2/15*s**3 = 0.
0, 67
Let d = -422/9 - -47. Let r(x) be the first derivative of -2/9*x + d*x**4 + 7 + 2/45*x**5 - 2/9*x**2 + 0*x**3. Let r(o) = 0. Calculate o.
-1, 1
Let x(n) = -4*n**5 + 30*n**4 - 146*n**3 + 214*n**2 + 2*n. Let y(w) = -w**5 - w**3 - w**2 + w. Let t(p) = -2*x(p) + 4*y(p). Factor t(g).
4*g**2*(g - 6)**2*(g - 3)
Factor -22/7*q**2 - 2/7*q**3 - 20/7*q + 0.
-2*q*(q + 1)*(q + 10)/7
Find d such that 32/3*d - 16/3 - 20/3*d**2 + 4/3*d**3 = 0.
1, 2
Let 165/4*c**2 + 75/4*c - 20 + 5/2*c**3 = 0. What is c?
-16, -1, 1/2
Let p(i) be the first derivative of -i**6/240 - 3*i**5/80 - 8*i**3/3 + 16. Let h(n) be the third derivative of p(n). Find m such that h(m) = 0.
-3, 0
Let p = -2454 + 2456. Find w, given that 1/7*w + 2/7 - 1/7*w**p = 0.
-1, 2
Suppose -b = 5*r - 13, -7*b + 5*b + 14 = 4*r. What is i in 0*i + 4/3*i**2 + 0 - 4/3*i**4 - 4/3*i**5 + 4/3*i**b = 0?
-1, 0, 1
What is p in -4*p - 3*p + 0*p - 6 + p + 21*p - 15*p**3 + 6*p**4 = 0?
-1, 1/2, 1, 2
Let 4/3*y**4 + 1/6*y**5 + 17/3*y**2 + 1 + 4*y**3 + 23/6*y = 0. What is y?
-3, -2, -1
Let v = 7345/96 + -2427/32. Factor 2/3 - 5/3*i + 4/3*i**3 - 4/3*i**4 + 1/3*i**5 + v*i**2.
(i - 2)*(i - 1)**3*(i + 1)/3
Determine d so that -20539*d**2 + 20530*d**2 + 10*d - 3*d + 2 = 0.
-2/9, 1
Let q(i) = -12*i**4 + 9*i**3 - 90*i**2 + 213*i - 120. Let u(d) = d**4 - d**3 + 2*d**2 - d - 1. Let b(o) = -q(o) - 15*u(o). Factor b(l).
-3*(l - 3)**2*(l - 1)*(l + 5)
Factor 5/2*u**2 + 1/4*u**3 + 25/4*u + 0.
u*(u + 5)**2/4
Let k = 211 + -208. Let q(j) be the first derivative of 0*j**2 - 3/2*j**4 - 2 - 3/5*j**5 - j**k + 0*j. Factor q(n).
-3*n**2*(n + 1)**2
Solve 144*f**3 - 24*f + 44*f**2 + 0*f**4 + 4*f**4 - 323*f**3 + 155*f**3 = 0.
0, 1, 2, 3
Factor 6/11*m**2 + 0*m + 2/11*m**3 - 8/11.
2*(m - 1)*(m + 2)**2/11
Let 0*a + 0 - 5/6*a**4 + 16/3*a**2 - 14/3*a**3 + 1/6*a**5 = 0. Calculate a.
-4, 0, 1, 8
Let w(o) be the first derivative of -o**3/6 + 2*o**2 + 9*o/2 - 117. Determine k so that w(k) = 0.
-1, 9
Let n(c) be the first derivative of -4*c**3/3 + 48*c**2 + 100*c - 34. Suppose n(b) = 0. Calculate b.
-1, 25
Let p(c) = c + 2. Let a(f) = 4*f**2 + 46*f + 48. Let i(t) = a(t) - 6*p(t). Factor i(q).
4*(q + 1)*(q + 9)
Let h(z) be the first derivative of 2*z**3/3 + 5*z**2 - 132*z + 276. Let h(t) = 0. Calculate t.
-11, 6
Factor 0 - 17*y**2 - 289/2*y - 1/2*y**3.
-y*(y + 17)**2/2
Let j(m) = -22*m**5 - 38*m**4 - 70*m**3 - 14*m**2 + 10*m. Let d(q) = 7*q**5 + 13*q**4 + 23*q**3 + 5*q**2 - 3*q. Let l(h) = 10*d(h) + 3*j(h). Solve l(s) = 0.
-2, -1, 0
Let t(z) be the second derivative of z**6/40 - 39*z**5/80 - 51*z**4/8 - 55*z**3/2 - 57*z**2 - 81*z. Factor t(h).
3*(h - 19)*(h + 2)**3/4
Let t be (2 - 0) + 1 - 0. Factor -33*i**4 - 6*i + 32*i + 2 + 46*i**t - 54*i**2 - 6 + 19*i**4.
-2*(i - 1)**3*(7*i - 2)
Let z(y) = 12*y**3 - 9*y**2 + 12*y. Let l(m) = m**3 - m**2 + m. Let f = 25 - 21. Let t(x) = f*z(x) - 44*l(x). Find s such that t(s) = 0.
-1, 0
Let i(v) = 5*v**3 + 13*v**2 - 69*v + 3. Let b(o) = 4*o**3 + 14*o**2 - 68*o + 2. Let y(d) = 6*b(d) - 4*i(d). Factor y(a).
4*a*(a - 3)*(a + 11)
Factor 9*b**4 - 16*b - 5*b**2 - 5*b**4 - 14*b**2 + 4*b**3 - 5*b**2 + 32.
4*(b - 2)*(b - 1)*(b + 2)**2
Let k = -20/59 + 375/236. Factor 15/4*z**2 - k*z**3 + 0*z + 9/4*z**5 - 15/4*z**4 - 1.
(z - 1)**3*(3*z + 2)**2/4
Let b = -67 - -73. Let i be 3/b + 1 + 0. Factor -3/2*l**2 - 3/2*l**3 + 3/2*l + i.
-3*(l - 1)*(l + 1)**2/2
Let a(c) = -c**3 - 34*c**2 + 5*c + 172. Let t be a(-34). Let q(g) be the first derivative of 12 - 10*g + 5/3*g**3 + 5/2*g**t. Determine i so that q(i) = 0.
-2, 1
Let a be 7 + -4*(-1 - -2). Suppose 3 + 10*i**5 + i + 22*i**2 - 9*i**5 + 5*i + 7*i**4 + 7*i + 18*i**a = 0. Calculate i.
-3, -1
Let n(a) be the first derivative of a**5/70 + 2*a**4/21 - a**3/21 - 4*a**2/7 - 7*a - 14. Let l(y) be the first derivative of n(y). Factor l(x).
2*(x - 1)*(x + 1)*(x + 4)/7
Let 0*y**3 + 1/7*y**4 - 9/7*y**2 + 4/7*y + 12/7 = 0. What is y?
-3, -1, 2
Let f(t) be the first derivative of 2 - 6/55*t**5 + 2/11*t + 4/33*t**3 + 3/11*t**2 - 1/33*t**6 - 1/11*t**4. Solve f(o) = 0 for o.
-1, 1
Find h, given that 0*h**2 - 4/7*h**4 - 2/7*h**5 + 0*h + 0 + 0*h**3 = 0.
-2, 0
Let a = -3627 - -3630. Factor 5/2*m**4 + 2*m**2 - 13/2*m**a + 2*m + 0.
m*(m - 2)*(m - 1)*(5*m + 2)/2
Factor 129605 - 4243*j + 1902*j + 5*j**2 + 731*j.
5*(j - 161)**2
Let x(q) be the second derivative of q**5/30 - 2*q**4/9 + q**3/9 + 2*q**2 + 25*q. Factor x(k).
2*(k - 3)*(k - 2)*(k + 1)/3
Let y(a) be the third derivative of a**6/8 + 11*a**5/12 + 5*a**4/4 - 242*a**2. Factor y(u).
5*u*(u + 3)*(3*u + 2)
Let s = 7423/3 + -2473. Solve -10/3*j + s - 2/3*j**3 + 8/3*j**2 = 0.
1, 2
Let l(k) be the third derivative of -k**9/211680 + k**8/23520 - k**7/8820 - 2*k**5/5 + 13*k**2. Let q(z) be the third derivative of l(z). Solve q(i) = 0 for i.
0, 1, 2
Let u(w) be the first derivative of 3*w**4/20 - 2*w**3/5 + 24. Determine j, given that u(j) = 0.
0, 2
Factor -19*r**2 + 14 + 15*r - 2*r**3 - 4*r**3 + 8*r**2 - 20 + 8*r**2.
-3*(r - 1)*(r + 2)*(2*r - 1)
Factor 33/2*k - 101/3 + 1/6*k**2.
(k - 2)*(k + 101)/6
Let f be (4 - (-19)/(-4))/(156/(-32))*13. Factor -j + 3/4 + 1/4*j**f.
(j - 3)*(j - 1)/4
Suppose -793*i + 799*i - 18 = 0. Factor -4*s**2 + 1/3*s**5 + 0 - 2*s**4 + 13/3*s**i + 4/3*s.
s*(s - 2)**2*(s - 1)**2/3
Let q(y) be the second derivative of 1/63*y**7 + 4/9*y**4 + 0 - 2/45*y**6 - 1/15*y**5 + 2/3*y**2 - 5*y - 7/9*y**3. Solve q(f) = 0 for f.
-2, 1
Let l(j) be the third derivative of -j**8/8400 + j**7/2100 + j**6/1800 - j**5/300 + j**3/2 - 5*j**2. Let b(