*o**2 + 0*o**4 + 2*o + 2/5*o**5 - b*o**3 - 3. Find u, given that w(u) = 0.
-1, 1
Let c(r) = -11*r**2 + 12*r - 6. Let m be (-1806)/630 - 8/60. Let b(v) = 6*v**2 - 6*v + 3. Let o be -10*(-1 - 6/(-4)). Let u(l) = m*c(l) + o*b(l). Factor u(t).
3*(t - 1)**2
Let -16 + 15*r**2 + 2342*r - 2326*r - 19*r**2 = 0. What is r?
2
Let j(s) = 7*s**2. Suppose -4*z + 104 = -g - 0*g, -4*z + 3*g = -104. Let l(d) = 26*d - 3*d**2 - z*d - 7*d**2. Let k(q) = 7*j(q) + 5*l(q). Factor k(o).
-o**2
Let h = -297281/18 + 33033/2. Factor -10/9*o**2 - h*o + 2/9.
-2*(o + 1)*(5*o - 1)/9
Let l be (-69)/(-6) - (-27500)/(-3080). Solve -c**3 + c + 1/7*c**4 + l - 19/7*c**2 = 0 for c.
-2, -1, 1, 9
Let k(f) = -37*f**2 + 1. Let d(q) = 73*q**2 - 301*q + 300. Let n(r) = 3*d(r) + 6*k(r). Factor n(y).
-3*(y - 1)*(y + 302)
Let p(v) = -2*v**2 + 105*v + 100. Suppose 217 = 12*h + 19*h. Let f(k) = -k**2 + 53*k + 50. Let b(u) = h*f(u) - 4*p(u). Suppose b(m) = 0. What is m?
-1, 50
Solve 2*r**4 + 0 - 2/5*r**5 - 2*r**2 + 12/5*r - 2*r**3 = 0.
-1, 0, 1, 2, 3
Factor 3/7*t**3 - 144/7*t**2 - 12288/7 - 2880/7*t.
3*(t - 64)*(t + 8)**2/7
Let a = 32 - 23. Let p(k) = 20*k - 248. Let q be p(13). Factor a*l**2 + q - 18*l - 3/2*l**3.
-3*(l - 2)**3/2
Let s be 5 - 6 - ((-328)/6)/(296/74). Factor 2/3*z + s*z**2 - 38/3 - 2/3*z**3.
-2*(z - 19)*(z - 1)*(z + 1)/3
Let m(a) be the first derivative of -a**4/2 + 112*a**3/3 + 367*a**2 + 620*a - 8928. Factor m(p).
-2*(p - 62)*(p + 1)*(p + 5)
Let t(w) be the third derivative of -1 + 1/105*w**5 + 16/21*w**3 + 3/14*w**4 + 16*w**2 + 0*w. Factor t(c).
4*(c + 1)*(c + 8)/7
Determine m so that -57*m + 483*m - 4224*m**2 + 0 + 0 + 4221*m**2 = 0.
0, 142
Suppose 361*g**4 + 141*g**3 - 42 + 696*g - 186 - 367*g**4 - 549*g**2 = 0. What is g?
1/2, 2, 19
Find n, given that 0*n - 4/7*n**5 + 4832/7*n**2 + 0 - 9668/7*n**3 + 4840/7*n**4 = 0.
0, 1, 1208
Let c(k) = -11*k**2 + 5*k + 11. Let q(x) = -211*x - 6 + 18 + 216*x - 13*x**2. Let y(a) = -6*c(a) + 5*q(a). Factor y(g).
(g - 6)*(g + 1)
Let b be (2/5)/((-46)/(-10)). Let u(z) = 4*z**3 - 188*z**2 - 192*z. Let y be u(48). Let b*j**2 + 0 + y*j**3 + 0*j - 2/23*j**4 = 0. What is j?
-1, 0, 1
Let s(l) be the first derivative of -l**4/22 + 64*l**3/33 - 135*l**2/11 + 719. Determine p, given that s(p) = 0.
0, 5, 27
Let s(w) = w**3 - 24*w**2 + 23*w. Let a be s(23). Suppose a = -9*c - 4 + 22. What is u in 13*u**3 + 11*u**c + 96 + 72*u**3 + 19*u**2 - 10*u**3 - 192*u = 0?
-2, 4/5
Let r(g) = -6067 - 11*g**2 - 3*g**3 + 16*g + 5940 + 3*g**3 - g**3. Let n be r(-13). Let 11/6*o + 1/2 + 7/3*o**2 - 1/6*o**4 + o**n - 1/6*o**5 = 0. What is o?
-1, 3
Let d(r) be the first derivative of -r**5/25 + r**4/2 + 37*r**3/5 + 76*r**2/5 - 272*r/5 - 1050. Factor d(l).
-(l - 17)*(l - 1)*(l + 4)**2/5
Find h such that -455040/11*h**2 - 6/11*h**4 - 47331744/11 + 2856/11*h**3 + 24564576/11*h = 0.
2, 158
Let u(n) be the second derivative of -n**4/36 - 115*n**3/9 - 229*n**2/6 - 578*n + 1. Factor u(k).
-(k + 1)*(k + 229)/3
Let v(f) = 18*f - 144. Let n be v(8). Let j(s) be the third derivative of 1/12*s**5 + 0*s**3 + 1/24*s**6 + 13*s**2 + 0 + n*s - 5/12*s**4. Factor j(w).
5*w*(w - 1)*(w + 2)
Let i = 42082/39 - 1079. Let o(b) be the second derivative of -16/195*b**6 - 12/65*b**5 + 0*b**2 + 15*b - i*b**3 - 3/26*b**4 + 0. Suppose o(v) = 0. What is v?
-1, -1/4, 0
Determine z, given that 119 + 1531 + 535 - 5*z**2 - 180*z - 3485 = 0.
-26, -10
Let c = -763 - -756. Let i be -8 - -4 - c*1. Suppose -2*z**2 - 6/5*z - 2/5*z**i + 18/5 = 0. What is z?
-3, 1
Let w = 18217 - 18212. Let z(n) be the third derivative of 0 + 26*n**2 - 3/2*n**3 - 1/20*n**w - 1/2*n**4 + 0*n. Factor z(b).
-3*(b + 1)*(b + 3)
Let x = -12639/2 + 6322. Let g(q) be the first derivative of -5/4*q**2 + 1 + x*q**3 + 5/8*q**4 - 15/2*q. Factor g(i).
5*(i - 1)*(i + 1)*(i + 3)/2
Let u = -16536 - -4084442/247. Let d = 4/13 - u. Factor 4/19*z**2 - 6/19*z + d*z**3 + 0.
2*z*(z - 1)*(z + 3)/19
Suppose -3105*x - j + 9 = -3100*x, 2*j - 4 = -3*x. Let 4/7*f + 0 + 10/7*f**x + 2/7*f**4 + 8/7*f**3 = 0. Calculate f.
-2, -1, 0
Suppose -2*u - s + 17 = 0, -u + 23*s - 28*s = -49. Suppose 7*h**3 + 17/2 + 25*h - 1/2*h**u + 24*h**2 = 0. Calculate h.
-1, 17
Let w(s) be the second derivative of -3/2*s**2 - 1/12*s**5 + 10/3*s**3 + 7*s + 0 + 0*s**4. Let t(a) be the first derivative of w(a). Find h such that t(h) = 0.
-2, 2
Let x(o) = -6*o - 48. Let k be x(-20). Suppose -l - k = -10*l. Factor -12*c - 32*c**2 + 1 - 3 + 30*c**2 - l.
-2*(c + 1)*(c + 5)
Let j be (-70)/(-36) - (-99 - 83235/(-837)). Find y, given that j*y**3 + 3 - 9/2*y**2 + 3/2*y**4 - 3/2*y = 0.
-2, -1, 1
Let n = 1487/4 - 4459/12. Let h(x) be the second derivative of 11/20*x**5 + 0*x**3 - 8/15*x**6 + 0 + 0*x**2 - 1/6*x**4 + n*x**7 - 25*x. Factor h(a).
a**2*(a - 1)**2*(7*a - 2)
Suppose -379*r = -191*r - 189*r. Let g(c) be the third derivative of 0 - 1/120*c**4 + 8*c**2 - 1/150*c**5 + 0*c + r*c**3. Let g(m) = 0. Calculate m.
-1/2, 0
Let j(q) be the third derivative of q**8/112 + 146*q**7/105 - 199*q**6/120 - 73*q**5/15 + 49*q**4/6 - q**2 + 15*q + 10. Suppose j(i) = 0. What is i?
-98, -1, 0, 2/3, 1
Let f(o) be the first derivative of -o**5/20 + 5*o**4/4 - 7*o**3/3 + 96*o + 230. Let w(u) be the first derivative of f(u). Factor w(d).
-d*(d - 14)*(d - 1)
Let w = -155 + 157. Factor 3903*o**3 + 30*o - 115*o**2 - 25*o**4 + w - 2 - 3793*o**3.
-5*o*(o - 3)*(o - 1)*(5*o - 2)
Let 24252/7*y - 88752/7 + 3/7*y**3 - 528/7*y**2 = 0. What is y?
4, 86
Factor 4/5*c**2 + 1036/5 + 176/5*c.
4*(c + 7)*(c + 37)/5
Find k such that -264/7*k**3 + 282/7*k**2 + 285*k - 1950/7 - 60/7*k**4 - 3/7*k**5 = 0.
-13, -5, 1, 2
Let h(q) be the second derivative of q**7/84 + 7*q**6/60 + 3*q**5/20 - 2814*q. Factor h(s).
s**3*(s + 1)*(s + 6)/2
Let j(a) be the second derivative of -1/3*a**3 + 0 - 20*a + 0*a**2 - 1/2*a**4. Factor j(r).
-2*r*(3*r + 1)
Suppose -4*z - 528 = 72. Let j be (50/250)/((-16)/z). Factor j*y**2 - 21/8*y**3 + 0 + 3/4*y.
-3*y*(y - 1)*(7*y + 2)/8
Determine f so that -34*f**2 + 51*f**2 + 36 - 57*f + 4*f**2 = 0.
1, 12/7
Let t(v) = -13*v**2 - 2*v + 2. Let d = 77 - 44. Let j(l) = -66*l**2 - 10*l + 11. Let f(c) = d*t(c) - 6*j(c). Factor f(i).
-3*i*(11*i + 2)
Let w be (90/(-75))/((-36)/(-54760)). Let p = 1830 + w. Factor 0 - 4/3*t**2 - 2/3*t + p*t**3 - 8/3*t**4.
-2*t*(t - 1)**2*(4*t + 1)/3
Let c(i) = i**2 - 1362*i + 80721. Let s(q) = 678*q - 40359. Let a(l) = -3*c(l) - 5*s(l). Factor a(y).
-3*(y - 116)**2
Suppose 3 = 3*m - 4*d + d, 4*d = 5*m - 6. Let c = 3637 + -21817/6. Factor -c*l - 2/3 - 1/6*l**m.
-(l + 1)*(l + 4)/6
Let q(a) = -a**2 + 3*a + 62. Let f(b) = b**2 - 3*b - 58. Let i(r) = 6*f(r) + 5*q(r). Let j be i(8). Factor -6/5*s**j + 0 - 2/5*s**3 - 4/5*s.
-2*s*(s + 1)*(s + 2)/5
Find h, given that 1486/11*h**2 - 68820/11*h - 17298/11 - 8/11*h**3 = 0.
-1/4, 93
Determine n, given that 165/4 + 3/8*n**2 + 81/8*n = 0.
-22, -5
Let r(x) be the second derivative of -7/45*x**6 - 4/63*x**7 + 1/18*x**4 - 19*x + 0*x**3 + 0 + 0*x**2 - 1/15*x**5. Factor r(n).
-2*n**2*(n + 1)**2*(4*n - 1)/3
Let c(g) be the first derivative of g**8/2240 + g**7/280 - g**6/40 + g**3/3 - 227*g + 87. Let s(x) be the third derivative of c(x). Let s(i) = 0. Calculate i.
-6, 0, 2
Let i be ((-4)/7)/(-4) - (-486)/126. Suppose -4*z - i = 5*k + 8, 5*z - 3*k = 22. Factor -b - 1/2*b**3 + 3/2*b**z + 0.
-b*(b - 2)*(b - 1)/2
Factor -2/5*r**3 - 6/5*r**2 + 0 - 4/5*r.
-2*r*(r + 1)*(r + 2)/5
Let n(a) = -a**2 - 10*a + 99. Let w be n(-16). Suppose -3*u - 2*o + 21 = w*o, -3*o = -9. Determine m so that -1/3*m**u + 0 + m = 0.
0, 3
Factor -11*o**2 + 206 + 21*o**2 - 8*o**2 - 50*o - 158*o.
2*(o - 103)*(o - 1)
Let a be 4/7 + 14*68/392. Factor -6*k - 1/2*k**a + 3*k**2 + 4.
-(k - 2)**3/2
Suppose -3*n = -5*n + 68. Let d(l) = -9*l + 56. Let f be d(6). Solve -n + f + p**2 - 48*p - 8*p**2 - 17*p**2 - 4*p**3 = 0 for p.
-2
Let d = 307714 + -3384852/11. Determine b so that 14/11*b + 16/11 - d*b**2 = 0.
-1, 8
Let x(j) be the first derivative of 9/2*j**2 + 0*j + 3/4*j**4 + 4*j**3 - 127. Factor x(v).
3*v*(v + 1)*(v + 3)
Let s = -26/257 - -309/514. Let p(i) be the first derivative of -1/10*i**5 - s*i**2 + 1/2*i**3 + 0*i**4 + 0*i - 28. Determine b, given that p(b) = 0.
-2, 0, 1
Let w(d) = -9*d**2 + 279*d + 1420. Let v(i) = 11*i**2 - 367*i - 1419. Let p(c) = -4*v(c) - 5*w(c). Find q, given that p(q) = 0.
-89