+ 28. Let k(q) = -7*b(q) - 4*x(q). Factor k(p).
(p + 12)*(5*p + 2)
Let n(r) = -7*r**3 + 9*r**2 + 3*r - 13. Let b(m) = -8*m**3 + 8*m**2 + 4*m - 12. Let l(d) = -3*b(d) + 4*n(d). Factor l(q).
-4*(q - 2)**2*(q + 1)
Let t be (3 - 0)*3/6. Let m(v) = v**2 - 16*v + 50. Let z be m(12). Factor -9/2*g - t*g**z - 27/8.
-3*(2*g + 3)**2/8
Factor 9*z - z**2 - 28 + 8*z**2 - 10*z**2 + 59 + 53.
-3*(z - 7)*(z + 4)
Let u(c) be the first derivative of c**6/180 + c**5/30 + c**4/12 + 8*c**3/3 - 13. Let l(y) be the third derivative of u(y). Factor l(m).
2*(m + 1)**2
Let l(x) be the third derivative of x**7/1995 + x**6/57 + 33*x**5/190 - 5*x**4/57 - 100*x**3/57 - x**2 + 52. What is i in l(i) = 0?
-10, -1, 1
Let u(t) be the third derivative of -t**5/12 - 155*t**4/24 - 83*t**2. Factor u(z).
-5*z*(z + 31)
Let u(w) be the first derivative of -3*w**4/4 - 49*w**3 - 936*w**2 - 1728*w - 18. Factor u(q).
-3*(q + 1)*(q + 24)**2
Let l(p) be the third derivative of 3*p**8/56 + 11*p**7/70 - 3*p**6/40 - p**5/10 - 44*p**2. Solve l(m) = 0 for m.
-2, -1/3, 0, 1/2
Let o(h) = 4*h**2 - 6*h + 5. Let q(b) = -7 - 23*b**2 - 5 - 17 + 34*b + b. Suppose -4*t = -26 - 110. Let j(y) = t*o(y) + 6*q(y). Let j(f) = 0. What is f?
1, 2
Let d = 379403/4 - 94270. Let k = -577 + d. Factor k*l**3 + 3/4*l**4 - 3*l - 6 + 9/2*l**2.
3*(l - 1)*(l + 2)**3/4
Suppose 3*x - 16 = x. Let n be (x/12)/(2/9). What is q in -q**4 - 2 - 3*q**2 + 3*q**3 - 2*q**n + 6*q**2 - q = 0?
-1, 1, 2
Let z(x) be the third derivative of x**6/60 - 13*x**5/15 + 25*x**4/12 + 6*x**2 + 3. Determine p, given that z(p) = 0.
0, 1, 25
Let h = -225 - -229. Let m(s) be the second derivative of 0*s**2 + 1/48*s**h + 1/80*s**5 + 0*s**3 + 0 - 2*s. Factor m(y).
y**2*(y + 1)/4
Let n(r) be the first derivative of 3/2*r**2 + 3*r - 3/4*r**4 + 3 - r**3. Find u such that n(u) = 0.
-1, 1
Let g(q) be the first derivative of -q**6/2 + 12*q**5/5 + 15*q**4 + 10*q**3 - 57*q**2/2 - 42*q + 705. Solve g(a) = 0 for a.
-2, -1, 1, 7
Let f be ((13 - -5)*-1)/(-2). Solve 35 + f*h - h**2 + 3*h**2 + 3*h**2 + 31*h = 0 for h.
-7, -1
Let m(l) be the third derivative of -5/6*l**3 + 0 + 1/12*l**5 + 0*l + 5/6*l**4 - 1/6*l**6 + 23*l**2. Factor m(t).
-5*(t - 1)*(t + 1)*(4*t - 1)
What is p in 4/3*p**2 - 8*p - 2/3*p**4 - 6 + 8/3*p**3 = 0?
-1, 3
Let w(v) be the second derivative of v**4/4 + 5*v**3/2 - 7*v. Factor w(h).
3*h*(h + 5)
Let p be -4*-3*(-2)/(-3). Let r be 33/12 + 2/p. Factor 0 + 0*x + 1/4*x**2 - 1/4*x**r.
-x**2*(x - 1)/4
Let k(u) be the second derivative of -u**5/30 - 8*u**4/3 - 256*u**3/3 - 4096*u**2/3 - 9*u - 1. Factor k(d).
-2*(d + 16)**3/3
Let v = -8515774/11115 - -9960/13. Let x = v - -1421/1710. Let -1/2*u**3 + 0 - x*u**2 - 1/3*u = 0. Calculate u.
-1, -2/3, 0
Let t = 354 - 350. Let a(m) be the first derivative of 1/2*m**t + 0*m**2 + 0*m - 1 - 1/3*m**3 - 1/5*m**5. Find b such that a(b) = 0.
0, 1
Let d be 0/(((-4)/1)/(-139 + 141)). Let 0*c + d - 1/8*c**2 - 1/4*c**3 + 1/8*c**4 + 1/4*c**5 = 0. What is c?
-1, -1/2, 0, 1
Let d(r) be the third derivative of -7*r**6/200 - 57*r**5/50 - 12*r**4 - 64*r**3/5 - 328*r**2. Find i, given that d(i) = 0.
-8, -2/7
Let i = 8 + -4. Suppose -3*l**i + 36 - 3*l**5 - 36 + 3*l**2 + 3*l**3 = 0. What is l?
-1, 0, 1
Let h be (308/4)/(-11) + (-17)/(-2). Factor 9/2*c**3 + 3/2*c**5 + 0 + 9/2*c**4 + 0*c + h*c**2.
3*c**2*(c + 1)**3/2
Let a be (9/(-15))/((-126)/420). Solve 1/3*t**a + 25/3 - 10/3*t = 0 for t.
5
Let x(d) be the first derivative of 3/4*d**4 + 4*d**3 - 18*d + 3/2*d**2 + 3. Factor x(z).
3*(z - 1)*(z + 2)*(z + 3)
Determine h so that -6/7*h + 1/7*h**2 - 72/7 = 0.
-6, 12
Let h(q) be the first derivative of q**3/9 - 18*q**2 + 972*q + 110. Solve h(z) = 0 for z.
54
Let y = 1529/5 + -305. Let g = y + -3/10. What is l in 0*l + 1/2*l**3 + 0*l**2 + 0 - g*l**4 = 0?
0, 1
Let o = 98 + -96. Let r(y) be the third derivative of 4/27*y**4 + 7/270*y**5 + 0 + 0*y + 4/27*y**3 - 6*y**o. Factor r(l).
2*(l + 2)*(7*l + 2)/9
Let p = -117 - -123. Suppose -4*v**4 + p*v + 3*v**2 - 11*v + 20*v**3 + 17*v - 31*v**2 = 0. What is v?
0, 1, 3
Factor 2/3*c**3 + 14*c + 0 - 44/3*c**2.
2*c*(c - 21)*(c - 1)/3
Let q = 25069 + -75205/3. Factor -1/3*h**4 + 0 + 0*h + 0*h**2 + q*h**3.
-h**3*(h - 2)/3
Solve 68*c + 65*c - 169*c + 3*c**2 = 0 for c.
0, 12
Suppose 5*x + 25 = 0, -4*p + 37 = -7*x + 2*x. Let k be 8/(-5)*(-9)/(-180)*-25. Solve 0 + 93/2*b**4 - 30*b**p - 45/2*b**5 + 6*b**k + 0*b = 0 for b.
0, 2/5, 2/3, 1
Let f be (6 - 120/21) + (-233)/(-140). Let d = 11/4 - f. Solve d*q**2 + 2/5*q**3 + 0 + 0*q = 0 for q.
-2, 0
Let z be 0*(15/(-10) + 1). Factor -163*v**3 + 162*v**3 + z*v**5 + v**5.
v**3*(v - 1)*(v + 1)
Let b = -62050/63 + 6896/7. Let -2/9*k**4 + 2/9*k**3 + 2/9*k**2 + 0 - b*k = 0. Calculate k.
-1, 0, 1
Let j(u) be the second derivative of u**2 - 5*u + 0 - 1/4*u**4 + 1/20*u**5 + 1/30*u**6 - 1/6*u**3. Factor j(r).
(r - 1)**2*(r + 1)*(r + 2)
Let h(j) be the first derivative of -j**6/24 + 3*j**5/10 - 5*j**4/16 + 138. Solve h(s) = 0.
0, 1, 5
Let i(d) = -2*d - 15. Let s be i(-12). Find l, given that -30*l + 19 + 5*l**2 + 11 - 14 + s = 0.
1, 5
Let k(s) be the first derivative of 0*s**2 - 16 - 1/12*s**3 + 1/4*s. Let k(f) = 0. What is f?
-1, 1
Let u(j) = -j**3 + 9*j**2 + 0*j**3 + 4 - j**2. Let r be u(8). Find a, given that 2*a**r - 3*a**4 + 2*a**3 - a**2 + 0*a**4 + 0*a**4 = 0.
0, 1
Suppose -3*d - 5*p - 11 = 0, 3*p - 8*p - 26 = -2*d. Let r(g) be the third derivative of 3*g**2 + 0*g - 1/2*g**d + 1/15*g**5 + 0 + 1/24*g**4. Factor r(m).
(m + 1)*(4*m - 3)
Let o(n) = 3*n**2 - 9*n. Let h = 35 - 50. Let d(j) = 12*j**2 - 36*j. Let f(w) = h*o(w) + 4*d(w). Solve f(y) = 0.
0, 3
Let a = 178 + -90. Let h be 24/a*6/9. Factor 2/11 + h*g**2 + 4/11*g.
2*(g + 1)**2/11
Let s(v) be the third derivative of -v**8/1176 - v**7/147 - v**6/70 + 2*v**5/105 + 2*v**4/21 + 2*v**2 - 15*v. Let s(r) = 0. What is r?
-2, 0, 1
Let f be 4/(-7)*378/(-324). Factor 0 + 2/9*x - f*x**2 - 2/9*x**4 + 2/3*x**3.
-2*x*(x - 1)**3/9
Let g(h) be the first derivative of h**6/75 - h**5/50 - h**4/6 - h**3/5 - 4*h + 15. Let r(x) be the first derivative of g(x). Factor r(p).
2*p*(p - 3)*(p + 1)**2/5
Let i = 25 + -22. Suppose 4*k - 9 = i*x - 0*x, 4*x = 5*k - 11. Find f, given that 4 + 10*f**2 + 15*f**3 - 5*f - 3 - x = 0.
-1, 0, 1/3
Let p(z) be the third derivative of -z**6/160 - 3*z**5/80 + z**3/2 + 34*z**2. Factor p(t).
-3*(t - 1)*(t + 2)**2/4
Suppose -4*t + 5*b = -23, -5*b = t + 10 + 3. Suppose -t*f = 3*f - 10. Determine n, given that 0 - 3/5*n**f + 3/5*n = 0.
0, 1
Let i(b) = 4*b**2 + 30*b + 36. Let l(v) be the second derivative of v**4/3 + 29*v**3/6 + 18*v**2 + 19*v. Let u(p) = 5*i(p) - 6*l(p). Factor u(m).
-4*(m + 3)**2
Suppose -68*s = -313*s + 752 - 17. Factor 2/13*f - 4/13 + 4/13*f**2 - 2/13*f**s.
-2*(f - 2)*(f - 1)*(f + 1)/13
Factor -3*j**4 + 3*j**3 - 3*j**3 + 7*j**4 - 8*j**3.
4*j**3*(j - 2)
Let g be ((-24)/(-48))/((-3)/4 + 1). Let m be 1 - g - 9/(-7). Factor -2/7*d**2 + 0 - m*d.
-2*d*(d + 1)/7
Let c(g) = g**3 - 4*g**2 - 5*g + 2. Let t be c(5). Factor t*i**2 + i**2 + i**2 - 3*i**3 - 3*i**3 + 2*i**4.
2*i**2*(i - 2)*(i - 1)
Let j(q) be the second derivative of -q**6/195 - q**5/130 + q**4/26 + 5*q**3/39 + 2*q**2/13 + 63*q + 1. Factor j(x).
-2*(x - 2)*(x + 1)**3/13
Suppose 21 = 5*u - 2*m - 5, 2*u + 92 = -12*m. What is z in -2*z**3 + 0 + 16/3*z**u - 4/3*z**4 + 2/3*z**5 - 8/3*z = 0?
-2, 0, 1, 2
Factor -50*f + 1/2*f**2 + 1250.
(f - 50)**2/2
Solve 19/6*q - 19/6*q**3 - 1/6*q**2 + 0 + 1/6*q**4 = 0.
-1, 0, 1, 19
Let i = 696/65 - -6/65. Let s = -466/45 + i. Suppose -10/9*x**3 - 4/9*x**2 + 10/9*x + s = 0. What is x?
-1, -2/5, 1
What is j in 115*j**3 + 42*j**3 - 126*j**2 - 25*j**4 + 6*j**2 + 153*j**3 = 0?
0, 2/5, 12
Suppose q = 3*q + m + 21, 23 = -2*q - 3*m. Let f(c) = 19*c**2 - 47*c - 15. Let r(n) = -58*n**2 + 142*n + 46. Let h(a) = q*f(a) - 3*r(a). Factor h(s).
-4*(s - 3)*(4*s + 1)
Let c = -115/7 - -34507/2100. Let l(t) be the third derivative of -1/200*t**6 + 0 - 4*t**2 + c*t**5 + 0*t + 1/525*t**7 + 0*t**3 + 0*t**4. Factor l(v).
v**2*(v - 1)*(2*v - 1)/5
Let r = -6933 + 41599/6. What is q in 1/6*q**4 + r*q**2 + 0 + 1/3*q**3 + 0*q = 0?
-1, 0
Let m(w) be the second derivative of -1/54*w**4 + 4/27*w**3 + 0 - 4/9*w**2 - 27*w. Factor m(h).
-2*(h - 2)**2/9
Let n = 49897/84 - 594. Let t(r) be the third derivative of 0 + 0*r**5 + 2/105*r**7 + 0*r**3 + 0*r