ose -17*f + 7 = j - 16*f, 5*j + 2*f - 23 = 0. Factor -26*u - 3*u**j - 55*u**2 + 25*u**2 - 2*u**3 + u.
-5*u*(u + 1)*(u + 5)
Suppose -13*h = -14*h + 28. Suppose n - 34 = -h. Factor -n*m + 6*m**2 + 14*m + 10*m - 21 - 3*m**2.
3*(m - 1)*(m + 7)
Let o(q) = -134*q + 13309. Let b be o(99). Let s(p) be the first derivative of b - 2/9*p**3 + p**2 - 4/3*p. Suppose s(x) = 0. Calculate x.
1, 2
Suppose 558*c - 22063*c**5 - 4*c**3 + 21999*c**5 - 1967*c**2 + 73*c**4 + 410*c + 215*c**4 + 779*c**2 = 0. What is c?
-2, 0, 1, 11/4
Factor -2/9*x**4 + 2/9*x**2 + 0 - 4/9*x**3 + 4/9*x.
-2*x*(x - 1)*(x + 1)*(x + 2)/9
Let m be ((-690)/70 + -6)*79. Let q = -1251 - m. Solve 24/7*x**2 + 20/7*x + 6/7 + q*x**3 + 2/7*x**4 = 0.
-3, -1
Let w(p) be the second derivative of p**7/126 - p**6/90 - 11*p**5/30 + 10*p**4/9 - 67*p + 32. Let w(u) = 0. What is u?
-5, 0, 2, 4
Suppose -14 = 3*f + 1, -f = -3*b + 260. Factor -4*u**2 - 87 + 180 - b - 4*u.
-4*(u - 1)*(u + 2)
Let m be (-1)/4 - 133/(-532). Suppose m = -174*f + 165*f. Factor 1/2*z**4 - 3/2*z**2 + z + f*z**3 + 0.
z*(z - 1)**2*(z + 2)/2
Let z(k) be the first derivative of -10 + 0*k - 2/51*k**4 - 16/51*k**3 + k**2 - 1/510*k**5. Let s(b) be the second derivative of z(b). Solve s(w) = 0.
-4
Factor -7 + 50*p**2 - 60 + 13*p**2 - 140 + 3*p**3 - 147*p.
3*(p - 3)*(p + 1)*(p + 23)
Let i(c) be the second derivative of 145*c**2 - 5/12*c**4 - 45/2*c**3 + c - 87. Determine g so that i(g) = 0.
-29, 2
Let m(y) be the first derivative of 5/3*y**3 + 4*y - 4*y**2 + 33 - 1/4*y**4. Let m(c) = 0. What is c?
1, 2
Let y(k) = k**4 - 5*k**2 + 6*k - 8. Let w(h) = 2. Let z(p) = p - 8. Let r(j) = -3*w(j) - z(j). Let d(l) = -6*r(l) - y(l). Suppose d(n) = 0. Calculate n.
-2, -1, 1, 2
Suppose 4*q + 2*x + 6 = 7*q, 4*q + x = 19. Suppose 0 = -g + 5, q*g = 2*k - 0*g. Factor k*f**2 - 7*f**3 + 13*f - 18*f**2 - f**4 + 3*f.
-f*(f - 1)*(f + 4)**2
Let n = 126146 + -126144. Factor -4/5*b**n + 4/5 + 4/5*b**3 - 4/5*b.
4*(b - 1)**2*(b + 1)/5
Let r(h) = h**3 + 6*h**2 + 2*h + 8. Let j be r(-6). Let b be (1/2)/(j - (-51)/12). Factor 2*s**4 + 9*s**2 - 6*s - 9*s**2 - 10*s**3 + 3*s**2 + 11*s**b.
2*s*(s - 3)*(s - 1)**2
Let w(v) be the third derivative of v**2 + 1/15*v**5 - 2 + 0*v + 2*v**3 - 2/3*v**4. Determine m so that w(m) = 0.
1, 3
Let n = 21 + 60. Suppose 16*y = -11*y + n. Find b, given that b + 0 - b**2 + 1/4*b**y = 0.
0, 2
Let l be (-15)/(-375)*(-866)/(-4). Let b = -154/25 + l. Determine u so that 45/2*u + 0 - 25*u**2 + b*u**3 = 0.
0, 1, 9
Let j = -83 - -88. Let a(r) = 2*r - 8. Let v be a(j). Solve 13*g - 147 - 3*g**v - g + 138 = 0.
1, 3
Suppose 5*j + 0*j = -25, 6*n = -3*j - j - 20. Find q, given that 2/7*q**2 + n - 20/7*q = 0.
0, 10
Let s(g) be the first derivative of -g**6/18 + 36*g**5/5 - 1511*g**4/6 + 636*g**3 - 2809*g**2/6 + 13939. Determine b, given that s(b) = 0.
0, 1, 53
Let o(u) = 15*u + 88. Let z be o(-5). Suppose -17*p**3 + z*p**3 - 8*p**3 - 100*p + 24 + 88*p**2 = 0. Calculate p.
1/3, 1, 6
Let v(y) be the third derivative of -1/40*y**6 - 9/10*y**5 + 0*y + 0*y**3 - 81/8*y**4 - 2*y**2 - 110. Solve v(k) = 0.
-9, 0
Let v(q) be the first derivative of q**6/2 - 183*q**5/5 - 567*q**4/4 - 191*q**3 - 96*q**2 + 2422. Factor v(n).
3*n*(n - 64)*(n + 1)**3
Factor 38*p + 703*p**3 - 3 - 1351*p**3 + 157*p**2 + 696*p**3.
(p + 3)*(3*p + 1)*(16*p - 1)
Find c, given that -60*c**4 + 119*c**3 - 2953*c**2 - 30 - 424*c**3 + 55*c - 2730*c**2 + 6023*c**2 = 0.
-6, -1/3, 1/4, 1
Let i = 437 - 452. Let f be ((-4)/10)/(3/i). Factor -8/5 + 12/5*t - 4/5*t**f.
-4*(t - 2)*(t - 1)/5
Let i = -1592 - -11147/7. Let s = -57 - -405/7. Factor 0 + i*l**3 - s*l + 3/7*l**2.
3*l*(l - 1)*(l + 2)/7
Solve 1034*y**2 - 512*y**2 - 521*y**2 - 228*y + 452 = 0.
2, 226
Let b(s) be the third derivative of -1/120*s**4 - 1/50*s**5 + s**3 + 0*s + 232*s**2 + 1/600*s**6 + 0. Factor b(m).
(m - 5)*(m - 3)*(m + 2)/5
Let f be 64 + -3 + 26/(-1). Let v(t) be the third derivative of 0 + 0*t + f*t**2 + 1/12*t**4 + 1/7*t**3 + 1/420*t**6 + 1/42*t**5. Factor v(x).
2*(x + 1)**2*(x + 3)/7
Let b(y) be the first derivative of y**8/2240 - y**7/280 - y**6/480 + y**5/40 - 2*y**3/3 + 42*y + 10. Let j(r) be the third derivative of b(r). Factor j(g).
3*g*(g - 4)*(g - 1)*(g + 1)/4
Let w(h) be the third derivative of h**8/168 + 19*h**7/105 + 139*h**6/60 + 481*h**5/30 + 190*h**4/3 + 400*h**3/3 + 5*h**2 - 3*h. Find s, given that w(s) = 0.
-5, -4, -1
Let g(l) be the second derivative of l**5/35 + 2*l**4/3 - 2*l**3/21 - 4*l**2 - 88*l + 2. Find d, given that g(d) = 0.
-14, -1, 1
Let b(g) be the second derivative of g**8/1680 + g**7/70 - 13*g**6/360 + 57*g**3/2 - 4*g - 2. Let f(a) be the second derivative of b(a). Factor f(t).
t**2*(t - 1)*(t + 13)
Let m(v) be the first derivative of 2*v**3/3 - 34*v**2 + 416*v - 1922. Factor m(i).
2*(i - 26)*(i - 8)
Let h(q) = -122*q**2 - 2101*q + 199. Let n(r) = 24*r**2 + 420*r - 40. Let f(z) = 4*h(z) + 22*n(z). Determine m, given that f(m) = 0.
-21, 1/10
Let z = -69359 - -69362. Solve 0 + 40/3*l**z - 52/3*l**2 + 4/3*l**4 - 88/3*l = 0 for l.
-11, -1, 0, 2
Let p = 77276/549 + -4246/183. Suppose p + 92/9*w + 2/9*w**2 = 0. Calculate w.
-23
Let q(d) be the first derivative of 1/8*d**4 + 3/40*d**5 - 20 + 2*d + 0*d**2 + 0*d**3. Let f(c) be the first derivative of q(c). Factor f(g).
3*g**2*(g + 1)/2
Let i be (24 - 15354/648) + 21/(-252). Suppose 2*x + 0*x = 0. Factor -i*u**2 + 2/3*u + x.
-2*u*(u - 3)/9
Let i(g) be the third derivative of -307*g**5/300 - 101*g**4/40 + 2*g**3/15 + 2*g**2 + 409*g. Factor i(a).
-(a + 1)*(307*a - 4)/5
Let t = -8548978/15 - -569932. Factor -t*j**2 + 22/15*j - 56/15.
-2*(j - 7)*(j - 4)/15
Suppose -i = -2*w + 5, 2*i - 4*w + w + 9 = 0. Let d be (i/6)/((-5)/40). Factor -h - 4 - 4*h**3 + d*h**2 + 2*h + h + 2*h.
-4*(h - 1)**2*(h + 1)
Let d(u) = 41*u**2 + 88*u + 633. Let x(y) = 65*y**2 + 132*y + 949. Let k(i) = -11*d(i) + 7*x(i). Factor k(f).
4*(f - 16)*(f + 5)
Let m(x) be the second derivative of -32*x**7/21 - 248*x**6/3 + 623*x**5/20 - 13*x**4/4 + 10697*x. Factor m(q).
-q**2*(q + 39)*(8*q - 1)**2
Solve 121*t + 359*t**2 - 65 + 25 + 35*t**4 - 354*t**2 + 29*t - 150*t**3 = 0.
-1, 2/7, 1, 4
Let d(p) be the first derivative of -4*p**5/35 + 82*p**4/7 + 332*p**3/21 - 671. Factor d(t).
-4*t**2*(t - 83)*(t + 1)/7
Let g(c) be the second derivative of -c**5/20 + 505*c**4/4 - 1009*c**3/2 + 1513*c**2/2 - 10*c - 325. Let g(s) = 0. Calculate s.
1, 1513
Let t(b) be the second derivative of 2*b**7/147 - 4*b**6/35 + 8*b**5/35 - 20*b - 65. Find s, given that t(s) = 0.
0, 2, 4
Let p be (-4)/(-60) + (-1190)/(-150) - 4. Let w(o) be the first derivative of 26 - 165/4*o**2 + 14*o**3 - 75*o - 9/8*o**p. Suppose w(d) = 0. What is d?
-2/3, 5
Let w(q) be the second derivative of q**6/210 + 226*q**5/35 + 34201*q**4/14 + 203852*q**3/21 + 203401*q**2/14 + 988*q + 1. Factor w(r).
(r + 1)**2*(r + 451)**2/7
Suppose 10402*u - 3*r = 10399*u + 21, 0 = -u - 2*r - 14. Let -1/4*d**2 + 17/2*d + u = 0. Calculate d.
0, 34
Let q = 17523 - 17519. Let c(g) be the first derivative of 20/3*g**3 - 15/2*g**2 + 0*g - 5/4*g**q + 2. Factor c(z).
-5*z*(z - 3)*(z - 1)
Let u = 100 - 85. Suppose -9 - u = -4*q. Factor -3*i**2 - 12*i**4 - 3*i**5 + q*i**3 + 3*i**2 + 15*i**4.
-3*i**3*(i - 2)*(i + 1)
Let u be 4*(-20)/(-60)*6/8. Let r be (u/2)/((-40)/(-16)). What is c in -5 - 2*c - r*c**2 = 0?
-5
Let a(b) be the first derivative of -86 + 0*b + 3*b**2 + 1/2*b**4 - 8/3*b**3. Factor a(h).
2*h*(h - 3)*(h - 1)
Let s(j) be the third derivative of j**5/20 - 17*j**4/2 - 70*j**3 - 2776*j**2. Find i, given that s(i) = 0.
-2, 70
Let r be ((-4)/3)/(988/5902) + 8. Let m(d) be the first derivative of -15 + r*d**3 + 1/38*d**4 - 2/19*d - 1/19*d**2. Find a such that m(a) = 0.
-1, 1
Let a(j) be the second derivative of 1/168*j**7 + 27*j - 5/4*j**2 - 1/5*j**5 - 19/24*j**4 + 0*j**6 + 0 - 11/8*j**3. Solve a(l) = 0 for l.
-2, -1, 5
Let g(k) = 2*k**3 - 71*k**2 + 95*k - 5. Let m(y) = -y**3 + 39*y**2 - 48*y + 3. Let s(c) = -3*g(c) - 5*m(c). Factor s(o).
-o*(o - 15)*(o - 3)
Factor 408*k + 196 - 66*k**3 + 44 + 793*k**2 + 3*k**4 - 694*k**2.
3*(k - 20)*(k - 4)*(k + 1)**2
What is n in -64 - 4/5*n**4 + 808/5*n - 132*n**2 + 176/5*n**3 = 0?
1, 2, 40
Factor -8/11*c**4 + 24*c**3 + 192*c - 2306/11*c**2 - 512/11.
-2*(c - 16)**2*(2*c - 1)**2/11
Let t(y) = 2*y**5 - y**4 - 53*y**3 - 70*y**2. Let s(f) = 