3 + 0*u**2 + 0*u + 1/6*u**4 + 4. Factor o(p).
2*p**2*(p - 1)/3
Suppose 0 = 4*l + 7 - 19. Let 0*t**l - t**3 + 2*t**3 - t**2 + 0*t**3 = 0. Calculate t.
0, 1
Let f = 1122 + -1117. Determine z, given that -2/9*z**4 + 0*z**2 + 0 + 0*z**3 + 0*z - 2/9*z**f = 0.
-1, 0
Suppose -25*g - 52 + 92 = -35. Suppose 2/5*s**g - 2*s - 4/5 - 6/5*s**2 + 2/5*s**4 = 0. What is s?
-1, 2
Let r(f) be the third derivative of -f**5/12 + 5*f**4/6 + 25*f**3/6 + 8*f**2 - 2*f. Factor r(b).
-5*(b - 5)*(b + 1)
Suppose r - 602 = -6*r. Let h be (-17)/34 + r/28. Factor -12/7*i**3 - 2/7*i**4 + 0*i + 0 - h*i**2.
-2*i**2*(i + 3)**2/7
Let z(y) = y - 4. Let s be z(6). Factor -2*v**2 - 47*v**5 - s*v**4 - 4*v**3 + 4*v**4 + 50*v**5 + v.
v*(v - 1)*(v + 1)**2*(3*v - 1)
Suppose -51 = l + 2*l. Let j = -11 - l. Factor 2*q**2 + j*q**4 + 5*q**3 + 2*q**5 - 3*q**3 + 4*q**3.
2*q**2*(q + 1)**3
Let i(x) be the first derivative of x**6/16 + 3*x**5/10 + 9*x**4/16 + x**3/2 + 3*x**2/16 - 20. Suppose i(c) = 0. Calculate c.
-1, 0
Let y(k) = -2*k**4 - 7*k**3 + 5*k**2. Let h(z) = -z**3 + z**2. Let u be 1/(3/(-6)*-1). Let g(p) = u*y(p) - 10*h(p). Factor g(r).
-4*r**3*(r + 1)
Determine k so that -272/5*k**2 - 2/5*k**5 + 2/5*k**4 + 64/5*k**3 - 224/5 + 416/5*k = 0.
-7, 2
Let r = -436/91 - -66/13. What is b in r*b + 2/7*b**2 - 2/7*b**3 - 2/7 = 0?
-1, 1
Factor -4 + 1/5*z**3 + z**2 - 4/5*z.
(z - 2)*(z + 2)*(z + 5)/5
Suppose -5*c + 0*c + 30 = 0. Let g(n) be the second derivative of 1/20*n**5 + 0*n**3 - 1/30*n**c + 0*n**4 + 0 + 4*n + 0*n**2. Suppose g(d) = 0. Calculate d.
0, 1
Find d such that 20449 - 21052*d - 3292*d + 287*d**2 + 3609*d - d**3 = 0.
1, 143
Factor 351/5*l**2 + 4/5 + 16*l.
(13*l + 2)*(27*l + 2)/5
Let m = -29 + 37. Let y(r) = -r**2 + 9*r - 5. Let i be y(m). Factor -2/3 - 2/3*q**4 + 8/3*q**i - 4*q**2 + 8/3*q.
-2*(q - 1)**4/3
Let u be (1 - (-2)/(-4))*(-153)/(-2805)*88. Let -8/5 + 2*i**4 + 24/5*i + u*i**5 - 2/5*i**2 - 36/5*i**3 = 0. Calculate i.
-2, -1, 1/2, 2/3, 1
Let q = -43 - -47. Let c be ((-2)/q - -1) + 17/(-51). Find i, given that 0*i + 0 + 0*i**2 - c*i**3 = 0.
0
Let r(y) be the first derivative of -y**3/18 - y**2/6 + 4*y/3 - 1. Factor r(f).
-(f - 2)*(f + 4)/6
Let j be 3750/20 - (-6)/4. Let d be (4/14)/(180/j). Factor -1/5 - 1/2*r + d*r**2.
(r - 2)*(3*r + 1)/10
Let v(i) = -28*i**4 + 64*i**3 + 187*i**2 + 63*i - 39. Let r(z) = 14*z**4 - 32*z**3 - 94*z**2 - 32*z + 20. Let o(n) = -7*r(n) - 4*v(n). Factor o(k).
2*(k - 4)*(k + 1)**2*(7*k - 2)
Let u(o) be the second derivative of o**7/7980 + o**6/1710 - o**5/285 - 2*o**4/57 - o**3/6 - 28*o. Let j(k) be the second derivative of u(k). Factor j(p).
2*(p - 2)*(p + 2)**2/19
Let r be (11 - 21) + (90 - 0)/9. Factor r + 8/3*q**3 + 10/3*q**2 + 2/3*q.
2*q*(q + 1)*(4*q + 1)/3
Factor 3/5*i**2 + 18/5*i + 24/5.
3*(i + 2)*(i + 4)/5
Suppose -5*v + 6 = -2*v. Suppose 0 = u - 2 - v, 4*m - 4 = 3*u. Find x such that 2/3 + 1/3*x + x**m - 5/3*x**2 - 1/3*x**3 = 0.
-1, -2/3, 1
Let h(l) be the first derivative of 6*l**3 + 11*l**2 + 4*l - 6. Solve h(c) = 0 for c.
-1, -2/9
Factor 0 + 2/11*q**4 + 4/11*q**3 - 12/11*q - 10/11*q**2.
2*q*(q - 2)*(q + 1)*(q + 3)/11
Find f such that 3*f**2 + 167 + 67*f + 43*f - 59*f - 41 = 0.
-14, -3
Let -87*t**4 + 50*t**2 + 46*t**4 + 6*t**3 + 39*t**4 + 42*t = 0. Calculate t.
-3, -1, 0, 7
Let p(m) be the third derivative of m**5/15 + 7*m**4/6 - 20*m**3 - 3*m**2 + 46*m. Let p(c) = 0. Calculate c.
-10, 3
Solve -15 + 8*n**2 - 13/2*n - 1/2*n**3 = 0 for n.
-1, 2, 15
Let v = 11 + -15. Let t(w) = -3*w - 3. Let p be t(v). Determine n so that -6*n + 16*n - 4*n + p*n**2 + 3*n**3 = 0.
-2, -1, 0
Let r(p) be the first derivative of -3*p**5/5 - 3*p**4 - 5*p**3 - 3*p**2 + 23. Determine f, given that r(f) = 0.
-2, -1, 0
Suppose 13 = 3*i + 4*d, 2*i - 1 = 5*d - 0. Factor 33*y + 1 - 33*y + 6*y**2 - 4 - i*y**4.
-3*(y - 1)**2*(y + 1)**2
Let p(s) = -2*s**3 - 30*s**2 - 10*s - 147. Let t be p(-15). Factor -9/4 + 21/4*w**2 - t*w.
3*(w - 1)*(7*w + 3)/4
Let r(d) be the first derivative of d**4/66 - 5*d**3/33 + 4*d**2/11 - 38*d - 15. Let p(q) be the first derivative of r(q). Factor p(f).
2*(f - 4)*(f - 1)/11
Let j = -7 + 12. Factor -2*f - 16*f**4 + j*f + 19*f**4 + 9*f**2 + 9*f**3.
3*f*(f + 1)**3
Let o(f) = f**3 + 6*f**2 - 7*f - 9. Let y be o(-6). Let g be y/18 - (-8)/(-6). What is w in g*w**3 - 1/2 + 1/2*w**2 - 1/2*w = 0?
-1, 1
Let o(y) = -y**4 + 6*y**3 - 2*y**2 - 12*y. Let t(h) = h**4 - 5*h**3 + 3*h**2 + 13*h. Let w(v) = -4*o(v) - 3*t(v). Let w(q) = 0. What is q?
-1, 0, 1, 9
Let m(j) = 3*j**2 + 2*j + 1. Let w(r) be the third derivative of -7*r**5/60 - r**4/6 - r**3/3 + 9*r**2. Let p(i) = 5*m(i) + 2*w(i). Factor p(b).
(b + 1)**2
Let q(n) be the second derivative of 4/57*n**3 + 0 + 0*n**2 + 16*n + 1/190*n**5 - 2/57*n**4. Factor q(u).
2*u*(u - 2)**2/19
Let z(g) = -g**2 - 7*g - 4. Let y(k) = -6*k - 3. Suppose 5*o + 24 = -o. Let p(d) = o*y(d) + 3*z(d). Factor p(c).
-3*c*(c - 1)
Let c(m) = 3*m**3 - 115*m**2 + 3252*m + 3364. Let u(w) = -w**3 - 2*w. Let h(z) = c(z) + 2*u(z). Find d, given that h(d) = 0.
-1, 58
Let a = 6233 + -6233. Factor 8/7*c**2 - 24/7*c**3 + a*c + 0 - 8/7*c**5 - 30/7*c**4.
-2*c**2*(c + 2)**2*(4*c - 1)/7
Let t = 103 + -94. Suppose -12*x**2 + 0*x**5 - 3*x + 3*x**4 + 12 - 3*x**5 - 3*x**2 + 15*x**3 - t*x = 0. What is x?
-2, -1, 1, 2
Let m(p) = p**2. Let k(j) = 6*j**2 + 17*j + 18. Let s(n) = 3*k(n) - 21*m(n). Factor s(o).
-3*(o - 18)*(o + 1)
Let b(q) be the third derivative of -q**7/315 + 13*q**6/180 - 7*q**5/10 + 15*q**4/4 - 12*q**3 + 14*q**2 + 6. Factor b(c).
-2*(c - 4)*(c - 3)**3/3
Let h(q) be the third derivative of q**8/15680 - q**7/1470 + q**6/420 - 7*q**4/24 - 9*q**2. Let d(v) be the second derivative of h(v). Factor d(p).
3*p*(p - 2)**2/7
Let z = 69 + -63. Let m(y) = -5 + 30*y**2 + 22 - 41*y - y**2. Let a(t) = 5*t**2 - 7*t + 3. Let r(b) = z*m(b) - 34*a(b). Let r(o) = 0. Calculate o.
0, 2
Let w = 488 + -256. Solve 190*o**4 - 21*o**3 - w*o**3 - 45*o**5 - 12*o**3 + 140*o**2 - 20*o = 0 for o.
0, 2/9, 1, 2
Suppose l - 2*b - 2 = b, b - 10 = -5*l. Let 27 + 5*w**l + 37 - w**2 + 32*w = 0. Calculate w.
-4
Let z = 1/1975 - -8689/1975. Suppose 16/3*b**4 + 2/15*b + 32/15*b**5 + z*b**3 + 4/3*b**2 + 0 = 0. What is b?
-1, -1/4, 0
Let p(k) be the first derivative of -7/5*k**5 + 0*k**2 + 2/3*k**3 + 5/4*k**4 - 12 + 0*k. Factor p(l).
-l**2*(l - 1)*(7*l + 2)
Find t, given that 0*t**2 + 4/5 + 17/5*t**3 - 4/5*t**4 - 17/5*t = 0.
-1, 1/4, 1, 4
Let f(b) be the first derivative of 5/21*b**3 - 2/21*b**4 - b - 2/7*b**2 - 5 + 1/70*b**5. Let k(u) be the first derivative of f(u). Factor k(p).
2*(p - 2)*(p - 1)**2/7
Factor -55/7*g + 1/7*g**4 - 3*g**3 + 18/7 + 57/7*g**2.
(g - 18)*(g - 1)**3/7
Let q = 1419 + -8489/6. Let i(x) be the second derivative of -15/2*x**4 - q*x**6 - 8/3*x**3 - 10*x**5 + 5*x + 0 - 1/2*x**2. Factor i(n).
-(n + 1)*(5*n + 1)**3
Let s(o) be the third derivative of -o**7/1470 - o**6/210 - o**5/84 - o**4/84 - 12*o**2 - 4*o. Factor s(i).
-i*(i + 1)**2*(i + 2)/7
Let l(f) be the first derivative of f**5/4 + 5*f**4/8 - 15*f**3/4 - 5*f**2/4 + 10*f + 318. Find d such that l(d) = 0.
-4, -1, 1, 2
Let h(l) be the second derivative of 31*l + 1/9*l**3 - 1/60*l**5 + 0 - 1/36*l**4 + 0*l**2. Factor h(q).
-q*(q - 1)*(q + 2)/3
Factor -16*t**3 + 120 - 94*t**2 - 5*t**3 + 21 - 924*t + 835*t**2 + 63.
-3*(t - 34)*(t - 1)*(7*t - 2)
Factor -1/3*m**2 + 0 - 45*m.
-m*(m + 135)/3
Let d(f) = 5*f**4 + 3*f**3 + 3*f**2. Let v(h) = h**4 - h**3 + h**2. Let y(u) = 2*d(u) - 6*v(u). Find z such that y(z) = 0.
-3, 0
Let s(q) be the second derivative of 3/8*q**2 + 1/12*q**4 - 10*q - 13/24*q**3 + 0. Factor s(j).
(j - 3)*(4*j - 1)/4
Factor -f**2 + 5*f**2 - f**2 + 2*f**3 + 58*f + 17*f**2 + 40.
2*(f + 1)*(f + 4)*(f + 5)
Let n(d) be the first derivative of -d**7/840 - d**6/180 - d**5/120 - 5*d**3 + 2. Let u(o) be the third derivative of n(o). Let u(y) = 0. What is y?
-1, 0
Let z be (-18)/(-40) - 2/(-180)*-18. Determine q so that 81/4 - 3*q**3 - 27*q + 27/2*q**2 + z*q**4 = 0.
3
Let a be 2/6 + 8/3. Factor -12*n**2 + 5*n**3 + 40*n**2 + 32*n - 9*n**a.
-4*n*(n - 8)*(n + 1)
Let h(f) = 5*f + 35. Let l be h(-9). Let i be (0/(-6))/1 - 4/l. Find x such that 0 - 2/5*x**4 - 2/5*x**3 + i*x**2 + 2/5*x = 0.
-1, 0, 1
Suppose 3*o - 18 = -6. Let v be 51/34 - (-10)/o. Find s, given that 3*s**3 + 38*s - 3*s**2 - s**v + 2*s**4 - 41*s + 2*s**2 