*p + 3*p**y + 2*p**2 - 2*p**4 - 4*p**3 - 4*p.
p*(p - 1)**2*(p + 1)*(3*p + 1)
Let o(m) = 3*m**2 - 11*m - 2. Let s be o(5). Suppose -s*p + 9 = -27. Factor 2*y**p + 1/2*y**5 + 0 + 3*y**3 + 2*y**4 + 1/2*y.
y*(y + 1)**4/2
Let o(a) = -2*a**3 - 75*a**2 - 312*a - 408. Let q(c) = c**3 + c - 1. Let r(d) = o(d) - 3*q(d). Factor r(k).
-5*(k + 3)**2*(k + 9)
Let k(c) be the first derivative of -1/90*c**5 - 4/9*c**3 + 3*c**2 - 4 - 1/9*c**4 + 0*c. Let s(y) be the second derivative of k(y). Factor s(t).
-2*(t + 2)**2/3
Let n(b) be the third derivative of 0*b - 1/126*b**4 - 1/21*b**3 + 0 + 2*b**2 + 1/630*b**5. Factor n(m).
2*(m - 3)*(m + 1)/21
Let j = -26/59 - -1931/4248. Let c(o) be the second derivative of -1/36*o**3 - j*o**4 + 0 + 7*o + 1/6*o**2. Factor c(q).
-(q - 1)*(q + 2)/6
Let b(u) = u**3 + 4*u**2 - 13*u - 11. Let r be b(-5). Factor 6*h**3 + 13*h**2 - 53*h**2 + 4*h**4 + h**4 + r*h**3.
5*h**2*(h - 1)*(h + 8)
Let j be (-70)/(-21) - 2 - (-2)/(-6). Suppose 0 = 2*x + w - 1, 2*w + 2*w = x - 14. Factor a + 4*a**3 + 47*a - 5 + j - 28 - 24*a**x.
4*(a - 2)**3
Let h(j) = -2*j**4 - 50*j**3 - 78*j**2. Let x(z) = z**4 - z**3 + z**2. Let r(c) = -h(c) + 2*x(c). Solve r(y) = 0.
-10, -2, 0
Let h(b) be the first derivative of 0*b + 0*b**2 + 5 - 2/3*b**3 + 1/210*b**5 + 1/1260*b**6 + 1/84*b**4. Let w(l) be the third derivative of h(l). Factor w(m).
2*(m + 1)**2/7
Let j be (70/112 + (-9)/24)*4/3. Factor 2/9*c - j*c**2 + 1/9.
-(c - 1)*(3*c + 1)/9
Let i(d) be the second derivative of -2*d**7/147 + d**6/35 + 3*d**5/70 - d**4/21 + 3*d + 9. Determine m, given that i(m) = 0.
-1, 0, 1/2, 2
Let u(b) = 56*b**2 + 92*b - 4. Let j(o) = o**3 + 56*o**2 + 93*o - 3. Let c(d) = -4*j(d) + 3*u(d). Find m, given that c(m) = 0.
-12, -2, 0
Let 13 - 15/2*v + 1/2*v**2 = 0. Calculate v.
2, 13
Let j = 1485/2 - 738. Let y(i) be the first derivative of -3*i + 3 - j*i**2 - 3/20*i**5 - 13/4*i**3 - 9/8*i**4. Factor y(n).
-3*(n + 1)**2*(n + 2)**2/4
Let g(c) be the second derivative of -6*c**2 + 0 - 5*c - 4/3*c**3 - 1/9*c**4. Find l such that g(l) = 0.
-3
Suppose 0 = 9*b - 63 + 18. Let s(k) be the third derivative of 0*k**3 + 0*k**7 + 1/120*k**4 + 0 + 1/1680*k**8 + 0*k + 0*k**b - 3*k**2 - 1/300*k**6. Factor s(c).
c*(c - 1)**2*(c + 1)**2/5
Let v be (540/792 + 2/(-11))*28/63. Factor -2/9 - v*r**2 + 4/9*r.
-2*(r - 1)**2/9
Let a(k) = k**3 - 31*k**2 - 24*k + 139. Let n(r) = 15*r**2 + 12*r - 69. Let q(j) = -3*a(j) - 5*n(j). Determine g so that q(g) = 0.
-2, 2, 6
Solve 5/4*s + 1/4*s**2 + 0 = 0.
-5, 0
Suppose -4*k = -5*k + 15. Let d(q) = -14*q - 78. Let l be d(-6). Find m such that 51*m - 15*m**5 - 6*m**2 + k*m**3 - 28*m + l*m**4 - 23*m = 0.
-1, 0, 2/5, 1
Let h = 4610/3471 + 6/1157. Suppose 4/3*u**2 + 0 + h*u = 0. What is u?
-1, 0
Suppose -13 + 1 = -2*l. Suppose -4*c - 2*v = -2, 5*c + 4*v + l = 2*c. Factor i**4 - 3*i**3 - 7*i + 2*i**2 + 5*i + i + i**c.
i*(i - 1)**3
Determine n so that 234 - 3011415*n**2 + 3011427*n**2 - 18 + 332*n = 0.
-27, -2/3
Let u(g) = 35*g**3 - 55*g**2 - 140*g - 65. Let q(k) = -9*k**3 + 14*k**2 + 35*k + 16. Let d(h) = 15*q(h) + 4*u(h). Factor d(w).
5*(w - 4)*(w + 1)**2
Solve -16/13*b**2 + 288/13 - 2/13*b**3 + 24/13*b = 0.
-6, 4
Let w(t) = t**3 + 11*t**2 + 3. Let f be w(-11). Let q be 0 + 2 - (-5 + f). Let 0*d**3 + 1/5*d**q + 0 - 1/5*d**2 + 0*d = 0. What is d?
-1, 0, 1
Let z be (-12)/18*(20 + -23). Factor 2/9*o**3 - 2/9*o**z + 0 + 2/9*o**4 - 2/9*o.
2*o*(o - 1)*(o + 1)**2/9
Let h(c) be the first derivative of -c**4/8 - c**3/6 + 25*c**2/4 + 25*c/2 - 242. What is o in h(o) = 0?
-5, -1, 5
Factor 16 + 39*j**2 - 35*j**2 - 4*j**3 - 8*j - 20*j**2 + 12*j.
-4*(j - 1)*(j + 1)*(j + 4)
Find s, given that 2*s**3 + 14*s - 84*s**2 + 17*s**4 - 2*s + 6*s**3 - 29*s**4 + 16 + 60*s**3 = 0.
-1/3, 1, 4
Let p(w) be the third derivative of -w**5/20 + 11*w**4/8 - 15*w**3 - 175*w**2. Solve p(b) = 0 for b.
5, 6
Factor -18/5*t**4 - 686/5*t - 532/15*t**3 - 2/15*t**5 + 4802/15 - 2156/15*t**2.
-2*(t - 1)*(t + 7)**4/15
Let c(s) be the third derivative of -s**7/420 + s**6/60 - s**5/20 + s**4/12 + 7*s**3/6 + 8*s**2. Let f(i) be the first derivative of c(i). Factor f(a).
-2*(a - 1)**3
Suppose 8*a - 153 + 121 = 0. Let c(u) be the first derivative of 2/5*u**5 + 1/4*u**a + 1/6*u**6 + 0*u + 0*u**3 + 0*u**2 + 2. Factor c(s).
s**3*(s + 1)**2
Suppose -4*z + z = -6. Let l(g) = -g**2 - 9*g - 5. Let m be l(-8). Factor -11*f**z - 5*f**3 + m*f**2 + 0*f - f**4 - 3*f - f.
-f*(f + 1)*(f + 2)**2
Let o(r) be the third derivative of r**8/672 + r**7/210 + r**6/240 - r**2 + 97. Suppose o(j) = 0. What is j?
-1, 0
Let q(u) be the second derivative of -u**4/12 + u**3 + 22*u. Factor q(p).
-p*(p - 6)
Let t(a) be the second derivative of 3*a**5/140 - 13*a**3/14 + 18*a**2/7 - 129*a. What is j in t(j) = 0?
-4, 1, 3
Let r be ((-2)/6)/(3/18). Let v = 4 + r. Factor -n**3 - 2*n**4 + 4*n**v + n**4 + 2*n**4 + n**5 - 5*n**2.
n**2*(n - 1)*(n + 1)**2
What is h in -22/7*h + 10/7 + 2*h**2 - 2/7*h**3 = 0?
1, 5
Let v(d) be the third derivative of -d**6/280 - 9*d**5/28 - 675*d**4/56 - 3375*d**3/14 + 36*d**2 - d. Factor v(p).
-3*(p + 15)**3/7
Let l(q) = -q**3 + 6*q**2 + 12*q - 23. Let c be l(7). Let 31*v - 68 + 35*v**2 + c*v + 28 + 87*v = 0. What is v?
-4, 2/7
Let q(n) be the first derivative of -5*n**4/24 + 5*n**2 + n - 4. Let v(a) be the first derivative of q(a). Factor v(c).
-5*(c - 2)*(c + 2)/2
Let y(v) be the second derivative of v**6/10 - 11*v**5/20 + v**4 - 2*v**3/3 - 397*v. Find x such that y(x) = 0.
0, 2/3, 1, 2
Solve -2/9*z**2 - 8/3 - 26/9*z = 0.
-12, -1
Let v(i) be the first derivative of -5/4*i**2 - 1/2*i**3 - 5 + i. Factor v(w).
-(w + 2)*(3*w - 1)/2
Let x be (-9218)/(-121) + 4/(-22). Factor y + x - 60 - 21*y + 4*y**2.
4*(y - 4)*(y - 1)
Let o be (-1 + 0)*(-10 + 6 + 2). Suppose -o*d = 2, -5*k - 4*d = -3*k. Factor -2*y**4 + 0 - 2/5*y**k + 4/5*y - 16/5*y**3.
-2*y*(y + 1)**2*(5*y - 2)/5
Let y(n) = n**3 - 3*n**2 - 15*n + 47. Let h be y(4). Solve 16/9 - 4/9*i**h + 16/9*i - 4/9*i**2 = 0 for i.
-2, -1, 2
Let y(i) = -18*i - 394. Let j be y(-22). Let 9/5*t + 0 - 3/5*t**j = 0. Calculate t.
0, 3
Factor 18*s - 60 - 30*s**3 - 14*s**2 - 12*s + 38*s**2 + 33*s**3 + 27*s.
3*(s - 1)*(s + 4)*(s + 5)
Let c(z) = -8*z**4 + 9*z**3 + 28*z**2 - 3*z - 20. Let f(r) = r**4 - 3*r**3 - r**2 + r. Let q(o) = -c(o) - 3*f(o). Find v such that q(v) = 0.
-2, -1, 1, 2
Let s(l) be the second derivative of l**7/280 - 7*l**6/120 + 3*l**5/8 - 9*l**4/8 + 13*l**3/6 - 12*l. Let q(a) be the second derivative of s(a). Solve q(w) = 0.
1, 3
Suppose -36 = -18*m + 6*m. Let u(a) be the first derivative of 4/9*a**m - 5/6*a**2 + 2/3*a - 1/12*a**4 - 4. Let u(y) = 0. What is y?
1, 2
Solve 4*l**2 + 148*l + 48*l + 86*l - 102*l = 0 for l.
-45, 0
Let f be (-3)/(-2)*-2 - (1 + -16). Suppose -29*t + 25*t = -f. Factor 10/3*o**t + 2/3*o**2 + 0 - 2/3*o + 2*o**4.
2*o*(o + 1)**2*(3*o - 1)/3
Suppose j + 7 = 15. Suppose -q - j*q = -45. Solve -3*c**4 + 3*c**2 + 7/4*c**q + 0 - 11/4*c**3 + c = 0.
-1, -2/7, 0, 1, 2
Let t(b) be the first derivative of b**6/8 + 3*b**5/20 - 87*b**4/16 - 29*b**3/4 + 51*b**2 - 60*b - 42. Find x, given that t(x) = 0.
-4, 1, 5
Factor -12*w + 0 + 9*w**2 - 1/3*w**4 + 10/3*w**3.
-w*(w - 12)*(w - 1)*(w + 3)/3
Let m(j) = 2*j**3 - 708*j**2 + 41772*j - 821516. Let u(q) = 3*q**3 - 1416*q**2 + 83544*q - 1643032. Let x(b) = 5*m(b) - 2*u(b). Factor x(p).
4*(p - 59)**3
Let y(q) = q**3 + 35*q**2 + 52*q + 18. Let i(x) = 2*x**2 + x - 1. Let n(t) = -5*i(t) + y(t). Find a, given that n(a) = 0.
-23, -1
Let w be -1*(2 + -2)/(-6). Let f(g) be the second derivative of 4*g + 3/14*g**2 + 3/70*g**5 + 0*g**4 + w - 1/70*g**6 - 1/7*g**3. Factor f(v).
-3*(v - 1)**3*(v + 1)/7
Let g(y) be the third derivative of -y**6/180 - y**5/30 + y**4/4 - 9*y**3/2 + 11*y**2. Let r(x) be the first derivative of g(x). Factor r(f).
-2*(f - 1)*(f + 3)
Let a(m) be the third derivative of -m**6/156 + 353*m**5/390 + 71*m**4/78 - 73*m**2. Factor a(s).
-2*s*(s - 71)*(5*s + 2)/13
Let b(w) = -24*w**3 - 28*w**2 - 28*w + 8. Let k(f) = -8*f**3 - 9*f**2 - 10*f + 3. Let s(x) = 3*b(x) - 8*k(x). Suppose s(c) = 0. Calculate c.
-1, -1/2, 0
Let t be ((-2)/(-56))/(152/4864). Factor t + 2/7*d**2 - 8/7*d.
2*(d - 2)**2/7
Let o(j) be the third derivative of 0 - 7/10*j**5 + 1/2*j**4 + 3/70*j**7 - 20*j**2 + 0*j + 3/2*j**3 + 1/10*j**6. Factor o(d).
3*(d - 1)**2*(d + 3)*(3