+ 1/150*l**6 - 1/15*l**3. Let u(n) = 0. What is n?
-1, 1
Let n = 1432 + -1430. Let a(z) be the first derivative of -4/15*z**5 + 0*z - 12 + 0*z**n + 7/6*z**4 - 2/3*z**3. Solve a(u) = 0.
0, 1/2, 3
Determine t so that 1/2*t**5 + 0 + 0*t**2 + 0*t - 4*t**3 + t**4 = 0.
-4, 0, 2
Let d be ((4/8 - 0) + -2)/((-135)/12). Factor -d*y**3 - 2/15*y**4 + 0*y**2 + 0*y + 0.
-2*y**3*(y + 1)/15
Let p(o) be the third derivative of o**8/5040 - o**7/126 - 11*o**6/180 + o**5/6 + 27*o**2. Let s(k) be the third derivative of p(k). Factor s(y).
4*(y - 11)*(y + 1)
Let f(y) = 3*y + 5. Let i be f(-1). Suppose -2*c**2 + 2*c + 1 - 4*c + 0*c**i + 3*c**2 = 0. Calculate c.
1
Let r = 20377/10 + -4075/2. Factor -r*v**2 - 6/5*v - 9/5.
-(v + 3)**2/5
Suppose -2*j**4 - 90*j**3 - 41*j + 161*j**2 + 4*j**3 - 453*j**2 - 80 - 287*j - 4*j**4 = 0. Calculate j.
-10, -2, -1/3
Let u be 228/(-494)*((-8)/6)/2. Find g such that -u*g - 6/13*g**2 - 2/13*g**3 + 0 = 0.
-2, -1, 0
Suppose 0 = 2*n + 6. Let i be n - ((-62)/15 - (-5)/15). Let -2/5*x + 2/5*x**2 - i = 0. What is x?
-1, 2
Let x(m) be the first derivative of -m**4/2 + 52*m**3/3 - 169*m**2 + 13. Factor x(z).
-2*z*(z - 13)**2
Let z = 129 - 126. Factor -t**3 - 18*t**2 - 33*t - 5*t**z - 18 + 3*t**3.
-3*(t + 1)*(t + 2)*(t + 3)
Let m(b) be the second derivative of b**4/18 + 34*b - 1. Factor m(r).
2*r**2/3
Let w(x) be the first derivative of 11 + 1/3*x**2 + 0*x - 2/9*x**3. What is h in w(h) = 0?
0, 1
Let h = 3 + -3. Let f be 324/(-96)*6 + 21. Factor -3/2*u**2 + f*u + h.
-3*u*(2*u - 1)/4
Let n(q) be the first derivative of -7*q**6/960 - 3*q**5/320 - 14*q**3/3 - 7. Let h(w) be the third derivative of n(w). Factor h(m).
-3*m*(7*m + 3)/8
Let p = 37 + -11. Factor 4*m + p*m**2 - 169*m**3 + 3*m - 8*m.
-m*(13*m - 1)**2
Let a(b) = -12*b**2 - 61*b - 3. Let y(d) = -3*d**2 + 3. Let t(o) = -a(o) - 3*y(o). Determine u so that t(u) = 0.
-3, 2/21
Let l be (-18)/30*(-20)/32. Let w(o) be the second derivative of 1/8*o**3 - l*o**2 + 0 - 5*o + 1/8*o**4. Factor w(i).
3*(i + 1)*(2*i - 1)/4
Let q(a) = a**2 - 4*a. Let f(m) = -4*m. Suppose -2*h - 3*h = -30. Let y(c) = h*f(c) - 4*q(c). Suppose y(z) = 0. What is z?
-2, 0
Let d = 2137 + -2131. Let p(z) be the third derivative of 0*z - 1/105*z**5 + 0*z**4 + 0 + 0*z**3 + 1/420*z**d - 12*z**2. Factor p(q).
2*q**2*(q - 2)/7
Let s(y) be the third derivative of y**8/4032 + y**7/2520 - y**6/432 - y**5/120 + 7*y**4/24 + 2*y**2. Let k(z) be the second derivative of s(z). Factor k(d).
(d - 1)*(d + 1)*(5*d + 3)/3
Let c = 905/4 - 226. Factor 1/4*d**4 - 3/2*d**3 - 7/2*d**2 - 11/4*d + c*d**5 - 3/4.
(d - 3)*(d + 1)**4/4
Let z(l) be the first derivative of 4/3*l**3 + 6 + 7*l**2 + 6*l. Factor z(u).
2*(u + 3)*(2*u + 1)
Suppose -22 = q - 24. Factor 1/5*d**q - 1/5*d**3 + 0*d + 0.
-d**2*(d - 1)/5
Suppose n + 4*i + 2 = 5*i, 4*n + 3*i = 20. Factor -6*w**n - 2 - 8*w**3 + 6*w**3 - 4*w + 7*w - 9*w.
-2*(w + 1)**3
Factor 13*t**2 + 53*t - 260 - 8*t - 18*t**2 + 40*t.
-5*(t - 13)*(t - 4)
Suppose -34*h = -49*h. Let m(q) be the third derivative of 0*q**5 + 0*q**3 + 0*q**6 + 0*q**4 + h*q - 2*q**2 + 0 + 1/420*q**7 + 1/224*q**8. Factor m(l).
l**4*(3*l + 1)/2
Let f(p) = -45*p**2 - 5. Let d(l) be the first derivative of -11*l**3/3 - l + 14. Let n(g) = 25*d(g) - 6*f(g). What is z in n(z) = 0?
-1, 1
Let g(i) = -122*i - 973. Let q be g(-8). Factor 6/13*o**2 + 2/13*o + 6/13*o**q + 2/13*o**4 + 0.
2*o*(o + 1)**3/13
Let j(f) be the second derivative of 2*f**6/5 + 5*f**5 + 9*f**4 - 70*f**3 + 100*f**2 + 528*f. Solve j(n) = 0 for n.
-5, 2/3, 1
Factor -1/8*y**2 + 5/8 - 1/2*y.
-(y - 1)*(y + 5)/8
Let f be 16/64 + (-6)/(-8). Let s be (-7)/14*(0 - 0)*f. Factor s*a + 0*a**2 - 4/3*a**3 + 2/3*a**5 + 0 + 2/3*a**4.
2*a**3*(a - 1)*(a + 2)/3
Let o be ((-1463)/539 - 2/7) + (-15)/(-4). Suppose o + 7/8*r + 1/8*r**2 = 0. Calculate r.
-6, -1
Factor -8*v - 12*v**2 - 11*v**2 - 14*v**2 + 35*v**2.
-2*v*(v + 4)
Factor -8836 - 2*b**2 + 68*b - b**2 + 51*b - 495*b - b**2.
-4*(b + 47)**2
Let l(x) be the first derivative of 3*x**6/2 - 39*x**5/5 + 51*x**4/4 - 3*x**3 - 12*x**2 + 12*x + 120. Factor l(j).
3*(j - 2)*(j - 1)**3*(3*j + 2)
Let n be -1 + 22/18 + 148/(-666). Factor -2/9*x**5 + 0*x + 0*x**2 + n + 2/9*x**3 + 0*x**4.
-2*x**3*(x - 1)*(x + 1)/9
Solve -36*j - 2*j**3 + 3 + 8*j**2 + 26*j + 1 + 0 = 0.
1, 2
Let 25 - 18*c + 44*c**2 + 26*c - 25 - 8*c**3 - 44*c**4 = 0. Calculate c.
-1, -2/11, 0, 1
Let s(z) = 3*z**3 + 24*z**2 + 81*z + 30. Let f(g) = -g**3 + g**2 - 2*g + 1. Let a(b) = -6*f(b) - s(b). Factor a(v).
3*(v - 12)*(v + 1)**2
Factor -108/11 + 54/11*p - 6/11*p**2.
-6*(p - 6)*(p - 3)/11
Suppose -2*c + 3*i + 45 = -72, 0 = -c + 3*i + 60. Let j = -54 + c. Factor 0*u**4 + 0*u**2 + 1/3*u**j + 0 - 1/6*u**5 - 1/6*u.
-u*(u - 1)**2*(u + 1)**2/6
What is i in -66/7*i - 2/7*i**3 - 20/7*i**2 - 72/7 = 0?
-4, -3
Let a(i) be the first derivative of -i**6/30 + i**5/25 + 2*i**4/5 - 8*i**3/15 - 8*i**2/5 + 16*i/5 - 92. Suppose a(f) = 0. What is f?
-2, 1, 2
Let a(r) be the first derivative of -4/19*r**2 - 6/19*r + 35 + 1/19*r**4 + 10/57*r**3. Factor a(n).
2*(n - 1)*(n + 3)*(2*n + 1)/19
Determine s so that 72*s + 43*s + 50*s**2 - 4381 + 5*s**3 + 4451 = 0.
-7, -2, -1
Let f(d) = -4*d**2 + 6*d - 1. Let p be f(5). Let v = 74 + p. Suppose 2/9*t - 2/9*t**5 + 4/9*t**4 + 0*t**v + 0 - 4/9*t**2 = 0. Calculate t.
-1, 0, 1
Let p(f) be the first derivative of -21 + 8*f - 2*f**2 - 8/3*f**3 + f**4. Find j, given that p(j) = 0.
-1, 1, 2
Let t(a) be the third derivative of -a**6/120 + a**5/6 + a**4/24 - 5*a**3/6 + 3*a**2. Let x be t(10). Solve r**3 - 3*r + 7*r + 1 - x*r - r**2 = 0.
-1, 1
Factor 2/5*a**3 - 2/5*a - 1/5*a**2 + 0 + 1/5*a**4.
a*(a - 1)*(a + 1)*(a + 2)/5
Let q(t) = t**3 + 5*t**2 + 5*t. Let s be q(-3). Factor 3*u - 5*u**2 + 2*u**2 + s*u**3 + 3*u**4 - 6*u**3.
3*u*(u - 1)**2*(u + 1)
Let t(x) be the second derivative of x**4/16 - 117*x**3/8 + 87*x**2/2 - 25*x + 7. Find m, given that t(m) = 0.
1, 116
Let h(x) be the third derivative of x**6/120 - x**5/12 + x**4/3 - 2*x**3/3 + 25*x**2. Find d, given that h(d) = 0.
1, 2
Let m(o) be the third derivative of -o**6/120 + 11*o**5/60 - 5*o**4/12 + o**3/3 + 2*o**2. Let b be m(10). Factor 2*l**2 + l**2 + 12*l + l**b + 0*l.
4*l*(l + 3)
Factor 5*k + 5*k**2 + k**3 - k**2 - 181 + 183.
(k + 1)**2*(k + 2)
Let a(z) be the first derivative of 7*z**4/6 + 4*z**3/9 - 21*z**2 - 12*z + 85. Factor a(l).
2*(l - 3)*(l + 3)*(7*l + 2)/3
Let o = -307 - -307. Let l(q) be the second derivative of -q + 1/120*q**5 + 0*q**3 + 0*q**2 + o - 1/72*q**4. Determine t, given that l(t) = 0.
0, 1
Factor -48/5 + 4/5*l**2 - 4/5*l**3 + 32/5*l.
-4*(l - 2)**2*(l + 3)/5
Suppose 5*j - 2*j - 13 = -5*d, 2*d = -5*j + 9. Factor -19*h**2 + d - 2*h + 17*h**2 + 2.
-2*(h - 1)*(h + 2)
Let b(w) be the third derivative of -w**7/1260 + w**6/90 + w**5/36 - w**4/18 - w**3/4 + 35*w**2. Let b(u) = 0. Calculate u.
-1, 1, 9
Suppose 0 = 41*p + 3*p - 220. Let x(k) be the second derivative of -6*k + 0*k**2 - 1/80*k**p + 1/120*k**6 + 1/24*k**3 - 1/48*k**4 + 0. Factor x(a).
a*(a - 1)**2*(a + 1)/4
Suppose 0*s + 3*s - 111 = 0. Suppose -12 = -2*y - l, 3*y - 31 = -2*y - 3*l. Factor -8*v**2 - 9*v**3 + 47*v**y - 32*v**4 - 35*v**5 + s*v**3.
4*v**2*(v - 1)**2*(3*v - 2)
Suppose -372*f**2 - 72 - 45*f + 370*f**2 + 5*f = 0. What is f?
-18, -2
Let t(z) = -1 + 10*z + 5 + 0*z**2 + 4*z**2. Let a(q) = -3*q**2 - 9*q - 3. Suppose -10*f + 6 = -11*f. Let u(c) = f*a(c) - 5*t(c). What is w in u(w) = 0?
1
Let p(j) be the third derivative of j**7/525 - j**6/300 - j**5/150 + j**4/60 - 107*j**2. Factor p(f).
2*f*(f - 1)**2*(f + 1)/5
Let k be 45/(-10)*2 - -9. Find t such that -1/3*t**3 - 16/3*t + k - 8/3*t**2 = 0.
-4, 0
Suppose 0 + 15/4*o**2 - 7/4*o**3 + 1/4*o**4 - 9/4*o = 0. What is o?
0, 1, 3
Factor -28*x - 44*x - 648 + 474*x**2 - 476*x**2.
-2*(x + 18)**2
Suppose 45/4 - 5/2*y**3 + 0*y - 35/4*y**2 = 0. What is y?
-3, -3/2, 1
Let c(o) be the first derivative of 9*o**5/25 + 141*o**4/20 + 91*o**3/15 + 3*o**2/2 + 125. Factor c(q).
q*(q + 15)*(3*q + 1)**2/5
Let b = 3 - 1. Solve -3*h**b + 4*h - 31*h + 8*h + 7*h = 0.
-4, 0
Let h(n) = 3*n + 32. Let a be h(-3). Let g be (2/6)/(a/138). Factor 2/9*r**g + 0*r + 0.
2*r**2/9
Let w(r) be the second derivative of -5*r**7/168 + r**6/4 - 9*r**5/16 + 5*r**4/12 - 8*r. Determine j, given that w(j) = 0.
0, 1, 4
Suppose 0 = 3*t - 6*t + 2*w + 8, 2*w 