 - 6*p**2 + 3*p + 5*p = 0?
-4, -1, 0, 1
Let p(f) be the second derivative of -4/3*f**2 + 22/9*f**3 - 5*f + 0 - 16/9*f**4 + 7/15*f**5. Find u, given that p(u) = 0.
2/7, 1
Suppose -5*r - 3*l + 33 = 0, -3*r - 3*l + 7*l + 14 = 0. Factor 30*y**3 - 24 - 30*y - 24*y**2 - r + 57 - 3*y**4.
-3*(y - 9)*(y - 1)**2*(y + 1)
Let g be 8 - 8/(-1)*(-153)/680*4. Let h(d) be the first derivative of -2*d**2 + 0*d + 3/4*d**4 - g*d**5 + 25 + 1/6*d**6 + 4/3*d**3. Factor h(v).
v*(v - 2)**2*(v - 1)*(v + 1)
Let i be (2496/(-128))/(72/(-10)). Let c(f) be the third derivative of 7/24*f**6 + 0 + 18*f**2 + i*f**4 + 5/4*f**5 + 10/3*f**3 + 0*f + 1/42*f**7. Factor c(r).
5*(r + 1)**3*(r + 4)
Let x(b) be the third derivative of b**6/720 - 31*b**4/144 + 5*b**3/6 - 14*b**2. Factor x(y).
(y - 5)*(y - 1)*(y + 6)/6
Let z(i) be the first derivative of 2*i**5/35 + 3*i**4/7 - 94*i**3/21 - 24*i**2 + 224*i - 3023. Suppose z(w) = 0. What is w?
-7, 4
Let g(h) be the third derivative of -h**6/30 + 71*h**5/15 - 23*h**4 - 2*h**2 - 138*h - 10. Factor g(u).
-4*u*(u - 69)*(u - 2)
Suppose 264 = -13090*t + 13222*t. Suppose -8/3 + 16/9*l - 2/9*l**3 + 2/9*l**t = 0. Calculate l.
-3, 2
Factor 222784/5 + 1/5*s**2 + 944/5*s.
(s + 472)**2/5
Suppose r - 2*r + 4*p + 26 = 0, -4*p - 50 = -5*r. Suppose -r*w + 9 = -3*w. Factor -26*u + 2*u**3 - 3*u**3 + 2 - 3*u**3 + 35*u + w*u**2.
-(u - 2)*(u + 1)*(4*u + 1)
Let t(k) be the second derivative of -k**5/20 + 119*k**4/6 - 7198*k**3/3 + 13924*k**2 + 503*k. Factor t(q).
-(q - 118)**2*(q - 2)
Let l(o) be the first derivative of o**4/10 - 8*o**3/15 - 153*o**2/5 + 936*o/5 + 4086. Factor l(w).
2*(w - 13)*(w - 3)*(w + 12)/5
Determine l, given that 795/2 - 3/4*l**2 - 789/4*l = 0.
-265, 2
Suppose -1834 + 764 + 4*h**3 + 26*h**2 + 2*h**2 + 850 - 196*h = 0. Calculate h.
-11, -1, 5
Let b be ((-3)/(-5))/(994/70 + -14). Factor 43*v + 80*v + 25*v**b - 60 + 181*v - 199*v**2 - 196*v**2.
(v - 15)*(5*v - 2)**2
Let n(y) be the third derivative of 1/2520*y**7 + 0 + 0*y**3 + 1/144*y**5 + 0*y + 1/360*y**6 + 1/144*y**4 + 8*y**2. Factor n(a).
a*(a + 1)**2*(a + 2)/12
Let d be ((-267)/2)/((-6)/(-8)). Let b = d + 283. Factor -3*n**2 - b*n - 102*n + 210*n.
-3*n*(n - 1)
Let r = -6147590/7 + 878231. Solve 27/7*n + 9/7*n**3 - 1/7*n**4 - r*n**2 + 0 = 0.
0, 3
Let c be (400/(-120))/((-4)/54). Suppose -2*h + c*h = 258. Factor -3/2*j**4 - 3*j**3 - h + 6*j + 9/2*j**2.
-3*(j - 1)**2*(j + 2)**2/2
Find r, given that 4916*r**3 - 26*r**2 - 2*r**4 - 4884*r**3 + 224 - 22*r**2 - 128*r = 0.
-2, 2, 14
Let o(b) = b**2 + 9*b - 157. Let u be o(9). Suppose 5*a - 4*q + 4 = 0, 74*a - u = 77*a - 5*q. Determine r so that a - 1/6*r + 1/6*r**2 = 0.
0, 1
Let p(x) = -16*x**3 + 204*x**2 - 1644*x - 5049. Let n(r) = 23*r**3 - 307*r**2 + 2465*r + 7574. Let w(t) = -5*n(t) - 7*p(t). Factor w(m).
-(m - 19)**2*(3*m + 7)
Let g = 136 - 113. Suppose -10*p + g = 3. Let -2/7*t + 0 + 1/7*t**p = 0. Calculate t.
0, 2
Let h(j) be the second derivative of -j**4/3 + 106*j**3/3 - 300*j**2 - 77*j + 1. Factor h(a).
-4*(a - 50)*(a - 3)
Suppose 6 = 2*f + 3*n, -n + 12 = 4*f - 0*f. Let k be (-144)/180 - (11/5 - f). Solve 2/5*c + k + 1/5*c**2 - 1/5*c**3 = 0.
-1, 0, 2
Suppose 6*w = -16*y + 655 - 685, w + 16 = y. Suppose 72/5 - 108/5*i + 12/5*i**y - 4/5*i**4 + 28/5*i**2 = 0. Calculate i.
-3, 1, 2, 3
Factor 41/9*k**2 - 2/9*k**3 - 7/3 + 22/9*k.
-(k - 21)*(k + 1)*(2*k - 1)/9
Solve -3609 - 2660*f - 1885*f**2 - 1731 + 1890*f**2 = 0 for f.
-2, 534
Find c, given that 15*c + 55*c**3 + 4*c**4 - 39*c + 123*c**2 - 227*c**3 - 344*c - 667*c**2 = 0.
-2, -1, 0, 46
Let p(g) = 12*g**4 - 40*g**3 + 20*g**2 + 16*g - 80. Let y(c) = c**4 - 2*c**3 - c**2 - c - 6. Let q(j) = -p(j) + 8*y(j). Find k such that q(k) = 0.
-1, 1, 2, 4
Let l = -59301 - -59301. Factor 5*r - 7/2*r**2 + 1/2*r**4 + l - 2*r**3.
r*(r - 5)*(r - 1)*(r + 2)/2
Let a(i) be the third derivative of -i**7/210 + i**6/40 + i**5/12 - i**4/8 - 2*i**3/3 + 43*i**2 - 8. Solve a(k) = 0 for k.
-1, 1, 4
Suppose 6*b + 32 = 10*b. Let t(x) = x - 5. Let c be t(b). Let 4*a**5 - 19*a**3 - 3*a - c*a - 3*a**3 + 2*a**4 + 22*a**2 = 0. What is a?
-3, 0, 1/2, 1
Let w be (-1413)/(-3) - (-8 - 12/(-6)). Let m = -472 + w. What is n in 2/5*n**4 - 2/5*n - 4/5*n**m + 0 + 6/5*n**3 - 2/5*n**2 = 0?
-1, -1/2, 0, 1
Let j(u) be the third derivative of -u**7/70 - 69*u**6/40 + 219*u**5/10 - 223*u**4/2 + 300*u**3 - 2024*u**2. Suppose j(v) = 0. Calculate v.
-75, 2
Let t = 993485 + -4967327/5. Factor -2/5*u**3 + 26/5*u**2 - t - 14*u.
-2*(u - 7)**2*(u + 1)/5
Let r(t) = 3*t - 34. Let m be r(12). Factor -8 - 181*v**4 - 18*v**3 - 30*v - 36*v**m - 1 + 178*v**4.
-3*(v + 1)**3*(v + 3)
Let x(r) be the second derivative of 2/15*r**6 - 5/6*r**4 + 1/10*r**5 + 4*r - 1/3*r**3 + 3*r**2 + 3. Factor x(z).
2*(z - 1)**2*(z + 1)*(2*z + 3)
Let x(h) be the first derivative of 5/6*h**4 - 2/3*h**3 - 2/5*h**5 - 9 + 0*h**2 + 1/15*h**6 + 17*h. Let o(m) be the first derivative of x(m). Factor o(a).
2*a*(a - 2)*(a - 1)**2
Let s = 640 - 639. Let z be (-18)/(s + (-18)/3). Find r such that 14/15*r**4 + z*r**2 - 52/15*r**3 - 8/15 - 8/15*r = 0.
-2/7, 1, 2
Let n be 2 + 22 + 2/4*-2. Let j(y) = y - 19. Let l be j(n). Factor 50 - 50 + l*h**2 - h**4.
-h**2*(h - 2)*(h + 2)
Let g(m) = -4*m**5 - 439*m**4 - 3*m**3 - 3*m. Let b(x) = 14*x**5 + 1318*x**4 + 10*x**3 + 10*x. Let a(k) = -3*b(k) - 10*g(k). Suppose a(t) = 0. Calculate t.
0, 218
Suppose 2*k + 4*o = -2, -k - 3*k = 5*o - 2. Let h(s) = 177*s + 12. Let v be h(k). Let 10*p**2 + 2*p**3 - v*p**4 + 3*p**3 + 528*p**4 = 0. What is p?
-2/3, 0, 1
What is p in 7/6*p**2 + 5 + 41/6*p = 0?
-5, -6/7
Factor -95/3*a - 19/3*a**2 - 77/3 - 1/3*a**3.
-(a + 1)*(a + 7)*(a + 11)/3
Factor 1/8*y**3 - 61/8*y + 31/8 + 29/8*y**2.
(y - 1)**2*(y + 31)/8
Let b = -88 + 88. Factor b*w**2 - 15*w - w**2 + 2*w - 3*w**2 - 3*w.
-4*w*(w + 4)
Let z be 85/(-51) - 212/528. Let x = z + 31/11. Factor 0*a - x*a**2 + 3*a**4 - 9/4*a**3 + 0.
3*a**2*(a - 1)*(4*a + 1)/4
Let h(c) = -c**4 - c**3 - c**2 + c - 2. Let p(f) = 2*f**4 - 12*f**3 - 14*f**2 + 8*f - 8. Let i(d) = -4*h(d) + p(d). Factor i(w).
2*w*(w - 2)*(w + 1)*(3*w - 1)
Let x(h) be the first derivative of -2/21*h**3 + 0*h**2 + 1/5*h**5 + 5/28*h**4 + 101 + 0*h. Determine t so that x(t) = 0.
-1, 0, 2/7
Let l(s) be the first derivative of 2*s**5/65 + 355*s**4/13 + 112336*s**3/13 + 13478432*s**2/13 + 52577024*s/13 + 1899. Factor l(y).
2*(y + 2)*(y + 236)**3/13
Suppose 71*r = 68*r + 21. Let w be 13 + (-89)/r - (-8)/(-77). Solve 8/11 + w*d**3 - 2/11*d**2 - 8/11*d = 0 for d.
-2, 1, 2
Let t(c) = 7*c**2 - 3*c + 14. Let u = 123 - 140. Let b(r) = -20*r**2 + 9*r - 40. Let g(f) = u*t(f) - 6*b(f). Factor g(x).
(x - 2)*(x - 1)
Suppose j - 4*j = -5*b - 4633, 0 = -2*j + 4*b + 3092. Solve 1010 + j - 3*f**2 + 240*f + 8*f**2 + 334 = 0.
-24
Let m(b) be the first derivative of -2*b**5/85 + 269*b**4/34 - 11970*b**3/17 - 18225*b**2/17 - 1374. Factor m(f).
-2*f*(f - 135)**2*(f + 1)/17
Suppose 2*k = 2*t + 176, -k - 306 + 408 = -3*t. Determine d, given that 5*d**4 - 1/3*d**5 - 30*d**3 - 135*d + 90*d**2 + k = 0.
3
Let q be 2/4 - 6/(-4). Suppose 0 = 2*a + 4*l + 12, l = -q*a + 4*l + 23. Solve -145*j**2 + 20 + 100*j**2 + 5*j**a + 6*j**3 - 15*j**5 - 20*j + 49*j**3 = 0.
-2, -2/3, 1
Let v = 418705 + -5442773/13. Find y, given that -64/13*y**2 + 118/13*y**4 + 30/13*y**5 - v*y**3 - 96/13 + 320/13*y = 0.
-6, -1, 2/5, 2/3, 2
Let a(o) be the second derivative of 0*o**2 + 0*o**3 - 26*o + 2 + 3/20*o**4 - 1/100*o**5. Determine r so that a(r) = 0.
0, 9
Let r(y) be the second derivative of 3*y**5/20 + 11*y**4 + 192*y**3 - 3456*y**2 + 1089*y. What is x in r(x) = 0?
-24, 4
Let j(r) be the first derivative of -r**5/3 + 15*r**4/2 - 40*r**3 - 1820. Let j(p) = 0. What is p?
0, 6, 12
Factor 202*g**3 - 1998*g - 42*g**2 + 404 + 15*g**2 + 1396*g + 21*g**2 + 2*g**4.
2*(g - 1)**2*(g + 2)*(g + 101)
Find b, given that 8*b**3 - 171/2 - 1372*b**2 + 1369/2*b = 0.
1/4, 171
Let u be 304/(-57) - (-10)/10*6. Determine h so that -h + 0 + u*h**2 + 1/3*h**3 = 0.
-3, 0, 1
Let f(c) = -3*c**2 - 14*c - 9. Let a be f(-8). Let v = a + 92. Factor -81*b + 108 + v*b**2 + 47*b - 2*b.
3*(b - 6)**2
Suppose -19*j + 23*j = 20, -5*m + 3*j = 5. Factor -74/3*i + 24 + 2/3*i**m.
2*(i - 36)*(i - 1)/3
Suppose -653*u = -a - 652*u - 6, 0 = 4*u - 24. Let d(j) be the first derivative of a*j + 4 + 1/21*j**3 - 1/14*j**2. So