o**7 + 0 + 0*o**5 - 2*o**d - 1/80*o**6 + 0*o**4 + 0*o**3 + 0*o. Factor n(r).
3*r**3*(r - 1)/2
Solve 2*i**5 + 1448*i**3 + 287*i - 192 + 783/2*i**4 + 3075/2*i**2 = 0 for i.
-192, -2, -1, 1/4
Find x such that -22 - 24*x**4 + 225*x**3 - 329*x + 2 + 79*x**4 + 104*x - 35*x**2 = 0.
-4, -1, -1/11, 1
Let n(q) be the first derivative of -17*q**4/18 - 50*q**3/3 - 52*q**2/9 + 16. What is g in n(g) = 0?
-13, -4/17, 0
What is c in 2*c**4 - 27*c**3 - 14*c**3 + 35*c**2 - c**4 + 4833*c + 120 - 4636*c = 0?
-1, 3, 40
Let y(c) be the first derivative of c**4/20 - 5*c**3/3 - 53*c**2/10 - 27*c/5 + 1672. Find j, given that y(j) = 0.
-1, 27
Let r(n) = n**2 - 51*n - 324. Let a(j) = 5*j**2 - 306*j - 1941. Let w(t) = 2*a(t) - 13*r(t). Determine g, given that w(g) = 0.
-5, 22
Let f(p) = -53*p - 6 - 3*p**2 + 5*p**2 + 101*p - 45*p. Let g(r) = 7*r**2 + 13*r - 25. Suppose 3*v + 14 = -4. Let s(y) = v*g(y) + 22*f(y). Factor s(l).
2*(l - 3)**2
Let z(n) be the first derivative of 16/3*n + 5*n**2 - 1/6*n**4 + 4/3*n**3 + 240. Find x, given that z(x) = 0.
-1, 8
Let b = 140505/14 + -10036. Let m(l) be the first derivative of 0*l + 0*l**3 + 0*l**2 + 0*l**5 - 1/21*l**6 + b*l**4 + 8. Find a such that m(a) = 0.
-1, 0, 1
Let l be 1/4 - (-22)/8. Factor 65*d + 9 + 6 + 4*d**5 + 94*d**4 + 90*d**l + d**5 + 110*d**2 - 59*d**4.
5*(d + 1)**4*(d + 3)
Solve -72*v**4 - 1508*v**2 + 2*v**5 + 92 - 359 - 449 - 127 - 566*v**3 + 155 - 1704*v = 0.
-2, -1, 43
Let g(j) = -4*j**4 - 21*j**3 + 16*j**2 - 3*j - 12. Let k(t) = 10*t**4 + 62*t**3 - 48*t**2 + 8*t + 32. Let h(w) = 8*g(w) + 3*k(w). Determine f so that h(f) = 0.
0, 1, 8
Factor 34*s**4 - 4188*s**5 + 4193*s**5 - 304*s**4 + 3645*s**3.
5*s**3*(s - 27)**2
Suppose -19*l - v = -22*l + 2, 2*l - 2*v = 4. Let c(g) be the first derivative of -5/3*g**3 - 15 + 0*g**2 + l*g + 5/4*g**4. Determine b, given that c(b) = 0.
0, 1
Let z(p) be the third derivative of -1/60*p**4 + 1 + 0*p**3 + 11/300*p**5 + 0*p - 2/75*p**6 + 23*p**2 + 1/150*p**7. Factor z(m).
m*(m - 1)**2*(7*m - 2)/5
Let r(y) be the second derivative of y**4/20 + 23*y**3/5 + 1587*y**2/10 + 3291*y. Let r(k) = 0. Calculate k.
-23
Let x = -16 + 13. Let h be 3/(105/16) + x/(-21). Factor 0 + h*g**2 - 9/5*g.
3*g*(g - 3)/5
Let s be (-6)/(-9) + -3 - (40/2 - 23). Let c = 6 - 3. Factor -8/9*w + 2/9*w**4 + s*w**c + 0*w**2 + 0.
2*w*(w - 1)*(w + 2)**2/9
Suppose -2*g**5 - 15*g**3 - 7*g**4 + 5*g**4 + 653 - 25*g**2 + 0*g**4 + 15*g**4 + 17*g - 641 = 0. What is g?
-1, -1/2, 1, 3, 4
Solve -1/7*d**3 + 0 + 57/7*d**2 - 110/7*d = 0 for d.
0, 2, 55
Factor 296*g + 4/3*g**2 + 1760/3.
4*(g + 2)*(g + 220)/3
Let g(w) be the first derivative of w**3/6 + 107*w**2/4 - 165*w + 9229. Solve g(j) = 0 for j.
-110, 3
Find f, given that 1510 - 35*f**2 + 5719*f - 987 - 6544*f - 11835*f + 3097 = 0.
-362, 2/7
Let u = 8 + -6. Let q be -5 + (-7 - -59)/1. Let -24*c**3 + 24*c - 4*c**4 - 32*c**u + q + 0*c - 11 = 0. Calculate c.
-3, -1, 1
Let t(m) be the second derivative of m**4/48 - m**3/3 - 65*m**2/8 - 1312*m. Factor t(l).
(l - 13)*(l + 5)/4
Suppose 4*g - a = 83, -22*g - 2*a = -20*g - 54. Let h(f) be the third derivative of -1/60*f**5 + 0*f**3 + 0 + 0*f - g*f**2 - 1/12*f**4. Factor h(k).
-k*(k + 2)
Factor -98/13*u**3 + 840/13 + 5872/13*u + 10234/13*u**2.
-2*(u - 105)*(7*u + 2)**2/13
Factor -369668 - 5*d**2 - 2038512 + 1396124*d - 1389184*d.
-5*(d - 694)**2
Let k be (1/12)/(10 + 156711/(-15672)). Let m = k + -145. Determine x so that m + 1/9*x**3 + 1/3*x**2 + 1/3*x = 0.
-1
Factor 1 - 5/3*y**2 - 2/3*y.
-(y + 1)*(5*y - 3)/3
Let w(c) = -c**3 + 36*c**2 + 49*c - 4. Let u(y) = -y**3 + 35*y**2 + 51*y - 5. Let i(q) = 8*u(q) - 10*w(q). Factor i(b).
2*b*(b - 41)*(b + 1)
Let m(s) = 4*s**2 - 12*s. Let q be (2 + -6 + 2)*8. Let c(i) = -43*i - 17*i + 5*i**2 + 15*i**2. Let k(r) = q*m(r) + 3*c(r). Factor k(p).
-4*p*(p - 3)
Let y(n) = -2381*n - 4758. Let f be y(-2). Find m such that 39/5*m**3 - 147/5*m + 0 - 3/5*m**f - 21*m**2 = 0.
-1, 0, 7
Let n = 30013/6 + -5002. Let v(c) be the first derivative of 1/4*c**4 - n*c**6 + 0*c + 0*c**5 + 0*c**3 + 8 + 0*c**2. Let v(d) = 0. Calculate d.
-1, 0, 1
Let y(u) = u**2 + 95. Let q be y(0). Let 40*k - q + k**3 + 35*k**2 + 4*k**3 + 15 = 0. Calculate k.
-4, 1
Let m be -3 + (2 + -1)*5. Let h(y) be the first derivative of 1/25*y**5 + 2/15*y**3 + 0*y**m - 3/20*y**4 + 0*y - 24. Factor h(a).
a**2*(a - 2)*(a - 1)/5
Suppose -n + 3991*n**2 - 33*n**3 - 3904*n**2 + 3*n**4 - 2*n - 126 + 2*n - 2*n = 0. Calculate n.
-1, 2, 3, 7
Let w(g) be the first derivative of g**6/780 + 2*g**5/65 - 9*g**4/52 + 14*g**3/39 - 12*g**2 + 2*g - 181. Let j(a) be the second derivative of w(a). Factor j(v).
2*(v - 1)**2*(v + 14)/13
Factor 137*l**3 + 25*l**3 - 20*l**3 + 83879*l**2 - 142*l - 83869*l**2 - 10.
2*(l - 1)*(l + 1)*(71*l + 5)
Let u(d) = 13*d - 24. Let m be u(0). Let h(v) = v**2 - 56*v + 31. Let b(c) = -3*c. Let z(o) = m*b(o) + 3*h(o). Let z(g) = 0. Calculate g.
1, 31
Let v = -911/105 - -411/35. Determine t so that 0 - 2/5*t + v*t**3 - 4/5*t**4 - 28/15*t**2 = 0.
-1/6, 0, 1, 3
Let t(u) be the first derivative of -4*u**3/3 + 3312*u**2 - 2742336*u + 2228. Factor t(r).
-4*(r - 828)**2
Let o(u) be the third derivative of 0*u**3 - 1/42*u**7 + 31/12*u**5 + 5*u**2 + 55/12*u**4 + 1/3*u**6 + 0*u - 1. What is n in o(n) = 0?
-2, -1, 0, 11
Suppose -509*j = -355*j - 616. Solve 0 + 94/9*k**3 - 46/9*k**2 + 0*k + 2/9*k**5 - 50/9*k**j = 0.
0, 1, 23
Let k(s) be the third derivative of -s**5/40 + 1369*s**4/8 - 1874161*s**3/4 + 3305*s**2. Factor k(b).
-3*(b - 1369)**2/2
Let d = -391765 - -1567061/4. Factor d + 1/2*k - 1/2*k**3 - 1/4*k**4 + 0*k**2.
-(k - 1)*(k + 1)**3/4
Let n = 459 - 536. Let a = n + 80. Let -3/7*g**2 - 3/7*g + 0 + 3/7*g**a + 3/7*g**4 = 0. What is g?
-1, 0, 1
Let z(o) be the second derivative of o**7/42 + 49*o**6/30 + 176*o**5/5 + 605*o**4/3 - 3545*o. Factor z(a).
a**2*(a + 5)*(a + 22)**2
Let i(o) be the second derivative of o**7/105 + 4*o**6/25 + 21*o**5/50 + o**4/3 - 1770*o. Let i(j) = 0. What is j?
-10, -1, 0
Let z(c) be the third derivative of 0 + 4/15*c**5 + 0*c**3 + 1/105*c**7 - c**2 - 1/3*c**4 + 29*c - 1/12*c**6. Determine y, given that z(y) = 0.
0, 1, 2
Let i(k) be the third derivative of k**6/6 + 22*k**5/15 + 5*k**4/2 - 12*k**3 - 127*k**2. Determine s, given that i(s) = 0.
-3, -2, 3/5
Let z be 9/(1 - (-91)/26). Suppose 10/3*i**3 + 14/3*i + 6*i**z + 4/3 + 2/3*i**4 = 0. Calculate i.
-2, -1
Let z(v) be the first derivative of -v**3/7 + 48*v**2/7 - 768*v/7 + 518. Determine b, given that z(b) = 0.
16
Suppose 496*d**2 - 47*d**3 + 61 + 11*d**3 + 1264*d + 195 = 0. What is d?
-2, -2/9, 16
Let f = 1/7857 + 23561/78570. Let l(r) be the second derivative of 1/15*r**4 + 0 - 32*r - f*r**2 + 11/30*r**3. Suppose l(t) = 0. Calculate t.
-3, 1/4
Let c = 4109 + -4104. Factor -6/5*d**3 + 0 - 1/5*d**c + 8/5*d + d**4 - 4/5*d**2.
-d*(d - 2)**3*(d + 1)/5
Let o(i) be the third derivative of -i**8/112 + 26*i**7/35 - 83*i**6/10 + 391*i**5/10 - 771*i**4/8 + 135*i**3 + 300*i**2. Solve o(s) = 0.
1, 2, 3, 45
Let i = 2549 - 1572. Let j = 981 - i. What is o in 32*o - 24 + 46/3*o**2 - 94/3*o**3 + 26/3*o**j - 2/3*o**5 = 0?
-1, 1, 6
Let a(r) = -10*r**2 - 5*r**2 - r - 25*r**2 + 13*r**2 + 38 + r**2. Let i(c) = -7*c**2 + 10. Let m(n) = -6*a(n) + 22*i(n). Determine z so that m(z) = 0.
-4, 1
Let -12/5*o**2 - 2560*o - 8528/5 = 0. Calculate o.
-1066, -2/3
Suppose 930*r + 79*r**2 - 75*r**2 + 202500 - 2730*r = 0. Calculate r.
225
Let b(g) be the third derivative of g**7/840 - g**6/480 - g**5/20 - g**4/24 + 2*g**3/3 + 1119*g**2. Find p such that b(p) = 0.
-2, 1, 4
Let j = -1242 + 43472/35. Let a(g) be the first derivative of 0*g**3 + 0*g**2 + 0*g - j*g**5 - 16 - 1/14*g**4. Factor a(y).
-2*y**3*(y + 1)/7
Let r(l) be the second derivative of 1/60*l**5 + 5*l - 1/2*l**3 - 1/12*l**4 - 5/6*l**2 - 1. Factor r(s).
(s - 5)*(s + 1)**2/3
Let h(x) = -40*x**2 - 3013*x + 6159. Let f(l) = 22*l**2 + 1503*l - 3079. Let z(w) = -9*f(w) - 5*h(w). Solve z(y) = 0.
-771, 2
What is w in 3/2*w**2 - 273*w + 1068 = 0?
4, 178
Let j be (2/(-4))/(2/(-16)). Let o be (-48)/(-168) - 414/(-315). Factor 18/5*v**2 + 7/5*v**3 + j*v + o + 1/5*v**4.
(v + 1)*(v + 2)**3/5
Let a(l) = l**3 + l**2 - 2*l - 1. Let b(f) = 5*f**3 + 6*f**2 - 8*f - 1. Suppose 11*r - 20 = 7*r, -3*r = -3*s - 21. Let n(j) = s*a(j) + 2*b(j). Factor n(v).
2*v*(v + 2)*(4*