= 0.
-19, -5
Let n = 317207/5 + -64135. Let t = n + 700. Factor -16/5 - 24/5*g**2 - 1/5*g**4 - 8/5*g**3 - t*g.
-(g + 2)**4/5
Determine i so that -10148*i**2 - 5*i**4 - 3*i**4 + 10148*i**2 - 44*i**5 = 0.
-2/11, 0
Let c(o) be the first derivative of -21 + 5/9*o**3 + 0*o + 1/3*o**4 + 1/15*o**5 + 1/3*o**2. Factor c(y).
y*(y + 1)**2*(y + 2)/3
Let c be (-1)/(0 + (-3)/12). Factor -36 + 36 - 4*j**3 - 2*j**c + 2*j**2 + 2*j**3 + 2*j**5.
2*j**2*(j - 1)**2*(j + 1)
Let t(l) be the third derivative of 8/3*l**3 + 4*l**2 + 0*l + 0 + 17/15*l**5 + 8/3*l**4 + 1/6*l**6. Find f, given that t(f) = 0.
-2, -1, -2/5
Suppose 0 = -2*t + v + 45, -130 = -5*t - 2*v + v. Let o be t/(-15)*(-3 - 18/(-10)). What is x in -1/4*x - 1/2 + 1/4*x**o = 0?
-1, 2
Let k(y) = -2*y**3 - 2. Let g(z) = -4*z**4 + 2092*z**3 - 405600*z**2 + 35152000*z - 1142439988. Let u(w) = g(w) + 6*k(w). Suppose u(p) = 0. Calculate p.
130
Let u(m) be the second derivative of m**5/60 + m**4/3 + m**3/2 - 11*m**2/3 + 3*m - 59. Factor u(c).
(c - 1)*(c + 2)*(c + 11)/3
Let x = 114 + -219/2. Let p be (5/4)/((-61)/(-61)). Find o such that 63/2*o**3 + 21/2*o**4 + x + 41*o**2 + 93/4*o + p*o**5 = 0.
-3, -1, -2/5
Let o(d) be the second derivative of 0*d**4 + 0*d**3 - 1/273*d**7 - 5*d + 0 - 4/195*d**6 + 0*d**2 - 2/65*d**5. Factor o(l).
-2*l**3*(l + 2)**2/13
Let 2/15*s**2 - 392/15*s + 19208/15 = 0. Calculate s.
98
Let o(k) be the third derivative of k**9/9072 + k**8/2520 - k**6/540 - k**5/360 - k**3 - 14*k**2. Let x(b) be the first derivative of o(b). Factor x(g).
g*(g - 1)*(g + 1)**3/3
Suppose 58 + 44 = 34*u. Find w such that 0 - 1/4*w**u + 0*w + 1/4*w**5 + 1/4*w**2 - 1/4*w**4 = 0.
-1, 0, 1
Solve 2/3*w**5 - 16/3 + 4*w**4 + 22/3*w**3 - 8*w + 4/3*w**2 = 0.
-2, -1, 1
Let g(o) be the third derivative of 0*o**3 + 0*o - o**2 + 0*o**4 - 1/15*o**5 + 1/60*o**6 + 0. Determine b so that g(b) = 0.
0, 2
Let h be 6 - (-3 - -6) - (-108)/(-39). Let d = h - -7/26. Let -3*n**4 + 0 - 4*n**2 - 6*n**3 - d*n**5 + 0*n = 0. Calculate n.
-2, 0
Let g(o) be the first derivative of 2*o**4/5 + 142*o**3/15 - 18*o**2/5 + 651. Find v, given that g(v) = 0.
-18, 0, 1/4
Let c(o) be the third derivative of o**5/20 - o**4 - 10*o**3 - 63*o**2. Let c(v) = 0. What is v?
-2, 10
Let x(q) be the first derivative of -q**3/3 - 4*q**2 - 16*q - 214. Solve x(p) = 0.
-4
Let d(l) = -3*l**2 + 546*l + 27642. Let i(w) = 4*w**2 - 541*w - 27641. Let p(m) = 7*d(m) + 6*i(m). Suppose p(s) = 0. Calculate s.
-96
Factor 2*h**2 - 4/5*h**3 - 2/5*h**4 + 12/5*h + 0.
-2*h*(h - 2)*(h + 1)*(h + 3)/5
Let w(s) = 3*s**3 - 7*s**2 - 2. Let v be w(5). Suppose 194*m**2 - m**3 - v*m**2 - 3*m**3 = 0. Calculate m.
-1, 0
Let q be (-12)/((-36)/21) + -9 + 2. Let q*a**3 + 2/5*a**4 - 4/5*a**2 + 0*a + 2/5 = 0. Calculate a.
-1, 1
Factor -13*l**3 + l**4 - 11*l**2 + 13*l + 31*l**3 - 18*l**3 - 8 + 5*l.
(l - 2)*(l - 1)**2*(l + 4)
Let f = 2 - -3. Let l be f/((-10)/6) - -3. Determine z so that -6*z**2 - 12*z**3 + 8*z**5 + 7*z**5 + l*z + 6 + 9*z - 12*z**5 = 0.
-1, 1, 2
Let c(v) be the second derivative of -3*v**4/2 - 272*v**3/45 - 4*v**2/15 + 8*v - 49. Suppose c(u) = 0. What is u?
-2, -2/135
What is k in -8*k**3 - 90*k**2 + 2*k**3 + 102*k**2 + 7*k**3 = 0?
-12, 0
Suppose 389 = 198*i - 7. Factor 4/9*r**i - 16/9*r + 0.
4*r*(r - 4)/9
Let u(o) be the second derivative of -o**4/18 - 10*o**3/9 - 25*o**2/3 + 2*o - 147. Determine z, given that u(z) = 0.
-5
Let b(f) = -f**5 + f**4 + f**2 + 1. Let n(d) = -4*d**5 + 4*d**4 + 2*d**2 + 2. Let w(z) = -2*z - 3. Let k be w(-2). Let x(u) = k*n(u) - 2*b(u). Factor x(q).
-2*q**4*(q - 1)
Suppose -4*i - 8 = -4*p, -18 = i - 3*p - 12. Factor -3/4*h**3 + 1/2*h**2 + 0*h + i.
-h**2*(3*h - 2)/4
Factor -35*z**2 - 2*z - 24*z**3 - 12 - 38*z - 6*z**4 - 13*z**2 + 2*z**4.
-4*(z + 1)**3*(z + 3)
Let r(w) = -5*w + 11 + 1 + 6*w. Let i be r(-8). Factor 3*d + i*d**2 - 2*d**2 - d - 4*d - 2*d**4 + 2*d**3.
-2*d*(d - 1)**2*(d + 1)
Let w = -22 + 49. Suppose 33*i - 24 = w*i. Factor 2/9*j**i + 0*j + 0*j**3 - 2/9*j**2 + 0.
2*j**2*(j - 1)*(j + 1)/9
Let h(l) be the first derivative of -l**5/20 - 3*l**4/16 + l**3/3 + 3*l**2/2 - 293. Solve h(i) = 0.
-3, -2, 0, 2
Let l = -3 + 6. Factor -9 - 6 - 2*p**l - 16*p + 7 - 10*p**2.
-2*(p + 1)*(p + 2)**2
Factor 1452 + 2816*y + 3832/3*y**2 - 256/3*y**3 + 4/3*y**4.
4*(y - 33)**2*(y + 1)**2/3
Let o(q) = 3*q**2 - 2*q - 5. Let k be o(2). Factor -9*p**k - 3*p**4 + 3*p**3 - 11*p**2 + 8*p**2 + 0*p**2.
-3*p**2*(p + 1)**2
Let p = 247 - 7409/30. Let f(s) be the second derivative of -1/50*s**5 + 0*s**2 + 1/15*s**3 - 1/75*s**6 - 3*s + p*s**4 + 0. Factor f(r).
-2*r*(r - 1)*(r + 1)**2/5
Let u(a) be the second derivative of -a**6/25 + 6*a**5/25 + 41*a**4/10 + 36*a**3/5 - 17*a - 15. Factor u(i).
-6*i*(i - 9)*(i + 1)*(i + 4)/5
Suppose 2*l + 18 = 2*s, 0*l = 3*s + 4*l + 8. Let c be 4/10 - (-3 + 3). Factor 2/5*k**s + 2*k**3 - 16/5*k - 2/5*k**5 - 8/5 - c*k**2.
-2*(k - 2)**2*(k + 1)**3/5
Let f(i) be the first derivative of i**8/840 - i**6/180 + 8*i**3 + 14. Let p(g) be the third derivative of f(g). Solve p(v) = 0.
-1, 0, 1
Let f be 2 + (-2 - 0)*-1. Let 0*o**4 + o**f - 3*o**4 + 2*o**3 = 0. What is o?
0, 1
Let i(u) be the third derivative of -1/780*u**6 + 24*u**2 + 0*u**5 + 0 - 1/546*u**8 + 0*u**4 + 1/273*u**7 + 0*u + 0*u**3. Solve i(d) = 0.
0, 1/4, 1
Let y(w) be the first derivative of 14 - 2/39*w**3 + 0*w**2 - 1/26*w**4 + 0*w + 8/13*w**5. Suppose y(v) = 0. What is v?
-1/5, 0, 1/4
Let o(x) = 17*x**2 + 57*x + 6. Let r(a) = 47*a**2 + 172*a + 16. Let b(k) = 7*o(k) - 2*r(k). Factor b(j).
5*(j + 2)*(5*j + 1)
Let m(a) = a**2 + 20*a + 64. Let k be m(-16). Let b(p) be the second derivative of 2/3*p**3 + 5*p + k + 1/6*p**4 + 0*p**2. Factor b(f).
2*f*(f + 2)
Let r(l) be the third derivative of 0 - 12*l**2 + 0*l**4 - 1/33*l**3 + 0*l + 1/330*l**5. Factor r(t).
2*(t - 1)*(t + 1)/11
Let c be 6/(-2) + 3*(5 - 4). Let h(v) be the third derivative of 0*v**4 + c*v + 1/150*v**5 + 1/100*v**6 - 3*v**2 + 0*v**3 - 4/525*v**7 + 0. Factor h(k).
-2*k**2*(k - 1)*(4*k + 1)/5
Let y = -1124 + 12367/11. Determine w so that 3/11*w + 1/11*w**3 + 1/11 + y*w**2 = 0.
-1
Factor 2/9*q**3 + 10/3*q - 2*q**2 - 14/9.
2*(q - 7)*(q - 1)**2/9
Suppose 0 = -4*o + f + 10, 0 = 3*o - f - 4*f - 16. Suppose -5*d - 15 = 2*p - p, -o*p = -4*d - 26. Factor 2/5*g - 8/5*g**4 + 12/5*g**3 + 0 - 8/5*g**2 + 2/5*g**p.
2*g*(g - 1)**4/5
Suppose -2*o = 3*z - 16, -z = 4*o + 4*z - 32. Factor -8*x**2 - o*x - 2*x**3 + 1935 - 1935.
-2*x*(x + 2)**2
Let k(z) be the second derivative of -z**6/60 - z**5/10 - z**4/24 + z**3/2 + 5*z - 6. Factor k(v).
-v*(v - 1)*(v + 2)*(v + 3)/2
Suppose -2*p + 3 + 7 = 0. What is i in -10 - 12*i - 5*i**3 + p*i**3 + 2 + 4*i**3 = 0?
-1, 2
Let y(j) be the first derivative of 0*j**5 - 1/5*j**2 + 4 + 0*j + 0*j**3 - 1/15*j**6 + 1/5*j**4. What is i in y(i) = 0?
-1, 0, 1
Let n(j) = 8*j - 14. Let a be n(5). Suppose -a*g + 14*g = -36. Factor -y**2 + 1/2*y**g + 0 + 0*y.
y**2*(y - 2)/2
Let i(b) be the first derivative of -4/21*b**3 + 2*b**2 + 57 - 48/7*b. Solve i(q) = 0.
3, 4
Let v(t) be the second derivative of 1/66*t**4 + 1/11*t**2 - 3 - 2/33*t**3 + 5*t. Suppose v(l) = 0. What is l?
1
Let q(z) be the third derivative of -1/10*z**5 + 5/18*z**4 + 0*z - 1/336*z**8 - 13/360*z**6 + 1/45*z**7 + 4/9*z**3 + 0 - 22*z**2. What is a in q(a) = 0?
-1, -1/3, 2
Let w(i) be the second derivative of 0 + 4/35*i**6 + 27*i + 3/7*i**2 - 3/7*i**3 + 9/70*i**5 - 5/14*i**4. What is z in w(z) = 0?
-1, 1/4, 1
Suppose -45 = 225*i - 240*i. Let k(u) be the third derivative of -1/24*u**4 - 1/60*u**5 + u**i - 6*u**2 + 0*u + 0. Factor k(x).
-(x - 2)*(x + 3)
Let k(m) = -93*m**2 + 92*m**2 + 1 - m**4 + m**3 + 0*m**4. Let p(v) = 4*v**4 - 14*v**3 + 16*v**2 + 6*v - 12. Let x(t) = 8*k(t) + p(t). What is w in x(w) = 0?
-2, -1, 1/2, 1
Let l(z) be the third derivative of -z**7/945 - z**6/90 + 14*z**5/135 + z**4/18 - z**3 - 576*z**2. Let l(m) = 0. What is m?
-9, -1, 1, 3
Let l(i) = -5*i**3 - 70*i**2 - 75*i. Let n(h) = 3*h**2. Let b(m) = -l(m) - 10*n(m). Factor b(s).
5*s*(s + 3)*(s + 5)
Let u(x) be the first derivative of 2*x**3/27 + 8*x**2/9 + 8*x/3 - 17. Find q, given that u(q) = 0.
-6, -2
Factor 36*f + 83*f**3 + 83*f**3 - 244*f**3 - 22*f**2 + 82*f**3 + 88 - 26*f**2.
4*(f - 11)*(f - 2)*(f + 1)
Let x be (5 - (-222)/(-45))*(-12)/(-18). Let b(q) be the first derivative of -x*q**5 - 8/27*q**