*w + 0*l.
l**3*(l + 1)*(l + 2)/6
Let a(p) be the first derivative of -2*p**5/5 - 11*p**4/2 - 12*p**3 + 175. Suppose a(m) = 0. What is m?
-9, -2, 0
Let -16*t + 0 + 128/5*t**2 + 4/5*t**5 - 8*t**4 - 12/5*t**3 = 0. Calculate t.
-2, 0, 1, 10
Let t(c) = 12*c - 46. Let x be t(4). Solve 2*b**3 - 40*b - 10 - x*b**3 - 5*b**3 + 15*b - 20*b**2 = 0 for b.
-2, -1
Let u(p) = 6*p**2 - 9*p - 6. Let x be u(-7). Suppose 25*b - 149 + x + 5*b**2 - 172 = 0. What is b?
-3, -2
Let l be (11 + -3)*(-1)/(-2). Let x = l - 50/13. Factor 4/13*m - 2/13*m**2 - x.
-2*(m - 1)**2/13
Solve 18/5*n**2 + 9/5*n + 3/5*n**3 - 6 = 0 for n.
-5, -2, 1
Let n(p) be the third derivative of -p**6/24 + p**5/3 + 25*p**4/6 - 40*p**3 + 5*p**2 + 40. Find l, given that n(l) = 0.
-4, 2, 6
Let k = 3467 + -6931/2. Solve -1 - 3/2*t + k*t**3 + 1/2*t**2 + 1/2*t**4 = 0.
-2, -1, 1
Let g = -21 - -31. Suppose 1 = -3*y + g. Factor 4*p**2 + 0*p**3 + 9*p**4 - 7*p**4 - 6*p**y.
2*p**2*(p - 2)*(p - 1)
Let c be 15 - 2 - (9 - -2). Let a(l) be the first derivative of 3 + 0*l + 0*l**3 + 1/2*l**c + 0*l**5 + 1/6*l**6 - 1/2*l**4. Solve a(f) = 0.
-1, 0, 1
Let b(m) be the first derivative of 2*m**5/85 - 23*m**4/102 + 10*m**3/17 + 9*m**2/17 + 25*m - 31. Let k(g) be the first derivative of b(g). Factor k(r).
2*(r - 3)**2*(4*r + 1)/17
Find y such that 0*y**2 - 62/5*y**3 + 0 + 0*y - 2/5*y**4 = 0.
-31, 0
Suppose 2*o + 5 = h, 0 = -4*h + 2*o + o + 35. Factor 81 - h*i**2 - 7*i + 3*i**2 - 13*i - 89.
-4*(i + 2)*(2*i + 1)
Let v(p) be the third derivative of -p**6/105 - 18*p**5/7 - 179*p**4/28 - 134*p**3/21 - 47*p**2 - 2. Factor v(w).
-2*(w + 134)*(2*w + 1)**2/7
Let v = -45876 + 1926881/42. Let i = 39/14 - v. Factor -2*s**3 - i*s**4 - 2*s**2 + 0 - 2/3*s.
-2*s*(s + 1)**3/3
Let n(a) be the first derivative of 0*a**2 - 5/3*a**6 - 2/3*a**3 + 0*a - 17 - 22/5*a**5 - 7/2*a**4. Let n(x) = 0. Calculate x.
-1, -1/5, 0
Let k(h) be the second derivative of -h**7/147 + 2*h**5/35 + h**4/21 - h**3/7 - 2*h**2/7 - 137*h. Suppose k(i) = 0. Calculate i.
-1, 1, 2
Let h(i) be the first derivative of 2*i**3/15 + 106*i**2/5 + 5618*i/5 + 335. What is m in h(m) = 0?
-53
Let h(l) be the first derivative of l**5/4 + 5*l**4/12 - 5*l**3/6 - 5*l**2/2 + 3*l - 6. Let y(m) be the first derivative of h(m). Factor y(b).
5*(b - 1)*(b + 1)**2
Factor -18*h**2 + 12*h**2 + 3 + 5*h**2 - 35 - 33*h.
-(h + 1)*(h + 32)
Let i = 1512 - 867. Let a be 2021/i + (-1 - -7)/(-2). Factor 0*u + 0 + 4/15*u**2 - 2/5*u**4 + a*u**3.
-2*u**2*(u - 1)*(3*u + 2)/15
Let p = -279 - -189. Let f be 2/5 + (-144)/p. Factor -3 - 4*o**2 - 1 + f*o**2 + 0*o**2 + 6*o.
-2*(o - 2)*(o - 1)
Find x such that 20 - 45*x**3 - 331*x**2 - 172*x + 516*x**2 - 28*x = 0.
1/9, 2
Factor 94/7 - 96/7*w + 2/7*w**2.
2*(w - 47)*(w - 1)/7
Suppose -3*o = 2*o - 0*o. Suppose o = 5*u - 22*u. Solve -v**5 + 1/3*v**3 + 2/3*v - 5/3*v**4 + 5/3*v**2 + u = 0 for v.
-1, -2/3, 0, 1
Let 29/2*i - 27/4*i**2 + 0 - 1/4*i**3 = 0. Calculate i.
-29, 0, 2
Let z(t) be the first derivative of t**3/8 - 39*t**2/16 - 21*t/4 + 47. Determine b so that z(b) = 0.
-1, 14
Let m be 2/(-8) - 558/8. Let i = -70 - m. Let 21*u**5 + 7/3*u**2 - 29*u**4 - 2/3*u + i + 19/3*u**3 = 0. Calculate u.
-2/7, 0, 1/3, 1
Suppose 5*a - 7*a = -4. Suppose 4*z - a*h - 4 + 2 = 0, h = 4*z - 7. Factor -q**4 + 2*q**2 - q**3 - q**3 + 2*q - 4*q**2 + z*q**4.
2*q*(q - 1)**2*(q + 1)
Let x(f) = -13*f**5 - 21*f**4 - f**3 + 33*f**2 - 13*f - 3. Let v(g) = 3*g**5 + 5*g**4 - 8*g**2 + 3*g + 1. Let m(n) = -9*v(n) - 2*x(n). Factor m(l).
-(l - 1)**2*(l + 1)**2*(l + 3)
Let z(y) = y**3 + 4*y**2 - 5*y. Let h(f) = -f**3 - 3*f**2 + 4*f. Suppose -3*g - 5*d = 5, 0 = -g - d - d - 3. Let r(p) = g*z(p) + 6*h(p). Factor r(q).
-q*(q - 1)**2
What is r in 4*r - 8/3 - 47/3*r**3 - 35*r**4 + 26*r**2 = 0?
-1, -2/5, 2/7, 2/3
Let d(j) be the third derivative of -j**8/5040 + j**7/2520 + j**3 - 3*j**2. Let t(w) be the first derivative of d(w). Factor t(b).
-b**3*(b - 1)/3
Let 10952/3 + 2/3*v**2 - 296/3*v = 0. What is v?
74
Let w = 1/16081 - -16079/32162. Factor -1/2*j**4 + 0 + w*j**3 - 1/2*j + 1/2*j**2.
-j*(j - 1)**2*(j + 1)/2
Let s = 120 + -111. Let k be 12/(-8)*(-4)/s. Factor -2/3*v**4 + 4/3*v**2 + 0 + 0*v - k*v**3.
-2*v**2*(v - 1)*(v + 2)/3
Let l = 1624 + -6493/4. What is n in -9/4 + 21/4*n + l*n**3 - 15/4*n**2 = 0?
1, 3
Suppose -120*f + 50*f + 522 = 104*f. Find g, given that -16/9*g - 1/9*g**5 - 16/9 + 8/9*g**2 - 1/9*g**4 + 8/9*g**f = 0.
-2, -1, 2
Let a(c) be the first derivative of -c**6/4 + 21*c**4/8 - c**3 - 9*c**2 + 12*c - 168. Find o such that a(o) = 0.
-2, 1, 2
Factor -162*s**3 - 159 + 234*s**2 + 6*s**3 + 149*s - 3*s**4 - 72*s**2 + 7*s.
-3*(s - 1)**2*(s + 1)*(s + 53)
Let x(q) be the third derivative of -q**6/840 + 3*q**5/70 - 9*q**4/14 - 11*q**3/6 + 34*q**2. Let v(u) be the first derivative of x(u). Factor v(l).
-3*(l - 6)**2/7
Let l(x) be the third derivative of x**6/2700 - x**5/450 - x**4/60 + 16*x**3/3 + 6*x**2. Let d(v) be the first derivative of l(v). Let d(f) = 0. Calculate f.
-1, 3
Let h(d) = d**2 - 15*d - 10. Let l(j) = 2*j + 2. Let n(u) = h(u) + 5*l(u). Factor n(a).
a*(a - 5)
Let u be 32/18 + 10/45 - -3. Let j(h) be the second derivative of 1/60*h**4 + 0 - 1/10*h**3 + 1/150*h**6 - u*h + 3/100*h**5 - 1/5*h**2. Factor j(n).
(n - 1)*(n + 1)**2*(n + 2)/5
Let r(k) be the third derivative of -k**8/26880 - k**7/3360 + k**5/120 + k**4/3 - 10*k**2. Let w(g) be the second derivative of r(g). Let w(x) = 0. Calculate x.
-2, 1
Suppose 4*p - 23 - 12 = -5*j, 2*p + 2 = 4*j. Suppose x - 12 = 5*o, -3*o + 14 = p*x - 5*o. Factor -2 - 5*q**4 + 14*q**4 - 3*q**x + q**3 - 5*q - 8*q**4.
(q - 2)*(q + 1)**3
Let y be 5 + 0 - (-9 + 12). Let s be (1 - -2)*(-2)/(-3). Determine t so that -2*t**2 + 2*t**3 - 3*t**3 + 0 - t + s + y*t = 0.
-2, -1, 1
Factor 11*c + 75*c**4 - 20*c**2 - 20*c + 140*c**3 + 9*c.
5*c**2*(c + 2)*(15*c - 2)
Factor 18*i + 7/2 + 2*i**3 + 33/2*i**2.
(i + 1)*(i + 7)*(4*i + 1)/2
Let p(j) be the second derivative of j**6/15 - 3*j**4 + 32*j**3/3 - 15*j**2 + 198*j. Determine y so that p(y) = 0.
-5, 1, 3
Let h(d) be the third derivative of -d**5/40 + d**4/4 + 56*d**2. Factor h(k).
-3*k*(k - 4)/2
Suppose 115*y - 492 = -64*y - 134. Find k, given that k + 0*k**y - 1/3*k**3 - 2/3 = 0.
-2, 1
Let v(m) be the first derivative of -m**4 + 56*m**3/3 + 62*m**2 + 64*m - 155. Factor v(s).
-4*(s - 16)*(s + 1)**2
Solve 363*h + 71*h + 5*h**2 + 5780 - 94*h = 0 for h.
-34
Factor 0 - 62/7*r + 64/7*r**2 - 2/7*r**3.
-2*r*(r - 31)*(r - 1)/7
Find d such that d**4 - 3*d**2 - 1/2*d - 1/2*d**3 + 1 = 0.
-1, 1/2, 2
Let m be (-210)/28*((-24)/9 - -2). Let d(h) be the third derivative of 4/3*h**3 + 1/30*h**m + h**2 + 0 + 0*h + 1/3*h**4. Factor d(q).
2*(q + 2)**2
Let h(w) be the first derivative of 16*w**6/3 - 112*w**5/5 + 38*w**4 - 100*w**3/3 + 16*w**2 - 4*w + 31. Factor h(i).
4*(i - 1)**2*(2*i - 1)**3
Suppose 4*x = 4*k + 24, x = 3*k - 4*k. Let 300*d + 500 + 60*d**2 - 5*d**3 - 6*d**3 + 15*d**x = 0. What is d?
-5
Let x = -388 - -2333/6. Let f(l) be the second derivative of -2*l + 0 - l**2 + 3/20*l**5 - x*l**4 + 3/2*l**3. Factor f(s).
(s - 2)*(s - 1)*(3*s - 1)
Let o(z) = -3*z**3 - 12*z**2 - 5*z + 10. Let v(k) = k**3 + k - 1. Let f(x) = 2*o(x) + 22*v(x). Determine g, given that f(g) = 0.
1/2
Find b such that 0 - 2/17*b**4 - 30/17*b**3 - 20/17*b - 46/17*b**2 + 2/17*b**5 = 0.
-2, -1, 0, 5
Suppose 73*u + 85 = 90*u. Let y(c) be the second derivative of -2*c**2 - 3*c - 1/5*c**u + 2/3*c**3 + 0 + 1/3*c**4. Factor y(r).
-4*(r - 1)**2*(r + 1)
Let r = -83/77 + 139/77. Factor -2/11*z + 0*z**3 - r*z**4 + 6/11*z**2 + 0.
-2*z*(z + 1)*(2*z - 1)**2/11
Let b(x) = -x + 36. Let k be b(30). Let f(t) be the third derivative of 9*t**2 + 0*t**3 + 1/90*t**5 + 1/540*t**k + 0 - 1/27*t**4 + 0*t. Factor f(g).
2*g*(g - 1)*(g + 4)/9
Let w(q) be the second derivative of q**6/360 - q**4/72 + 14*q**2 + 13*q. Let y(r) be the first derivative of w(r). Factor y(t).
t*(t - 1)*(t + 1)/3
Let d(o) be the second derivative of o**5/4 - 65*o**3/6 + 30*o**2 - 45*o. Factor d(y).
5*(y - 3)*(y - 1)*(y + 4)
Factor -2/13*i**2 - 24/13*i + 0.
-2*i*(i + 12)/13
Suppose 2*v - 5*t + 12 = 0, 0 = -0*v - 2*v - 3*t + 20. Let x(d) be the first derivative of -3/20*d**v - 1/5*d**3 + 9 + 0*d + 3/5*d**2. Factor x(y).
-3*y*(y - 1)*(y + 2)/5
Let i(l) = 8*l**2 - l - 3. Let b be i(5). Let s be 3/(-2)*b/(-36). Solve s*g 