5 + w. What is y in -13*y**4 + 3*y**2 + 10*y**4 - y**3 + 3*y**5 - u*y**3 = 0?
-1, 0, 1
Let f be (-28)/(-8)*(-12)/(-14). Suppose 0 = -2*t + 5*n + 29, 111*t = 113*t + f*n + 11. What is p in 0 + 9/8*p - 21/8*p**t - 3/8*p**4 + 15/8*p**3 = 0?
0, 1, 3
Let s(x) = -5*x**2 + 25080*x - 31702195. Let z(t) = -4*t - 23. Let c(d) = -s(d) + 25*z(d). Factor c(b).
5*(b - 2518)**2
Let 5/6*v**3 - 749/6*v - 33/2*v**2 - 539/3 + 1/6*v**4 = 0. Calculate v.
-7, -2, 11
Let g be (195/(-169) + 6/39)*-7. Suppose -3*f + 2*n = -g, 2*n - 9 = -5*f + 8. Determine x, given that 0 + 0*x**2 + 0*x - 2/9*x**f = 0.
0
Let 141*v**2 - 222*v - 97*v**2 + 220 - 42*v**2 = 0. Calculate v.
1, 110
Let a(f) be the second derivative of 35/4*f**4 - 12*f**3 - 36*f + 6*f**2 + 2/7*f**7 - 9/10*f**6 - 3/2*f**5 + 0. Find c such that a(c) = 0.
-2, 1/4, 1, 2
Let x(k) be the third derivative of k**5/12 + 655*k**4/24 - 110*k**3 + 7*k**2 + 18. Factor x(y).
5*(y - 1)*(y + 132)
Let m be 44/33*3/2. Let r(s) = -21*s - 8 + 4*s - 5*s**m + 6*s. Let x(p) = 2*p**2 + 4*p + 3. Let g(q) = 3*r(q) + 8*x(q). Determine a so that g(a) = 0.
0, 1
Let v(p) be the third derivative of -p**6/24 - 107*p**5/60 - 13*p**4 - 18*p**3 + 379*p**2 + p. Let v(s) = 0. Calculate s.
-18, -3, -2/5
Suppose -17 = -4*v + 3*s, 2*v - 70 = s - 61. Determine q, given that 0 + 0*q + 1/2*q**v + 1/2*q**2 + 3/2*q**4 + 3/2*q**3 = 0.
-1, 0
Let u = -15684 + 15693. Let p(x) be the first derivative of -1/5*x**5 - 1/3*x**3 - 1/2*x**4 + 0*x + u + 0*x**2. Suppose p(t) = 0. What is t?
-1, 0
Let n be (1421/(-105) - 160/(-10)) + 3/15. What is a in n*a + 2/3*a**2 + 0 = 0?
-4, 0
Let h(o) be the second derivative of -o**4/32 + 13*o**3/16 + 1827*o**2/8 - 4045*o + 3. Solve h(c) = 0 for c.
-29, 42
Factor h**2 + 143/3*h - 1/3*h**4 - 47/3*h**3 + 94/3.
-(h - 2)*(h + 1)**2*(h + 47)/3
What is b in 2/7*b**4 + 290/7*b + 96/7 + 42*b**2 + 102/7*b**3 = 0?
-48, -1
Factor 99/4*t**2 - 294 - 3/4*t**3 - 189/2*t.
-3*(t - 28)*(t - 7)*(t + 2)/4
Let r(h) be the first derivative of h**3/24 + 139*h**2/8 + 277*h/8 - 3743. Let r(f) = 0. What is f?
-277, -1
Let j = -106498 + 106498. Let j - 1/2*x**2 + 11*x = 0. What is x?
0, 22
Let j(z) be the first derivative of 0*z - 43 - 7/3*z**2 + 2/9*z**3. Let j(a) = 0. Calculate a.
0, 7
Let n(t) be the first derivative of 1/3*t**3 + 4*t - 64 + 2*t**2. Factor n(k).
(k + 2)**2
Let x(b) = -b**2 - b - 2. Let s(l) = 5*l**2 - 390*l - 7980. Let v(m) = -s(m) - 10*x(m). Factor v(i).
5*(i + 40)**2
Let l(f) = 1 + 2 - 97*f - f**2 + 194*f - 118*f. Let n be l(-21). Find o such that 34*o + 31*o + 74*o**3 + 11*o**3 - n*o**2 - 117*o**2 - 20*o**4 - 10 = 0.
1/4, 1, 2
Let v = -1084 - -1090. Let r(u) = -2*u**2 + 21*u - 52. Let k be r(v). Factor -9/2 - 3/8*n**3 + 3*n + 3/8*n**k.
-3*(n - 2)**2*(n + 3)/8
Let y(k) be the third derivative of 1/40*k**6 + 2 - 3/10*k**5 + 0*k + 5*k**3 + 3/8*k**4 + 3*k**2. Factor y(c).
3*(c - 5)*(c - 2)*(c + 1)
Let v(m) be the second derivative of -2 - 7*m - 363/5*m**2 + 22/15*m**3 - 1/90*m**4. Factor v(u).
-2*(u - 33)**2/15
Factor 28/5 + 15*z - 11/10*z**2.
-(z - 14)*(11*z + 4)/10
Let o be ((-6)/9)/(((-56)/12)/7). Let p be (-16)/((60/28)/(-1) - o). Factor 50/11*t**3 - 76/11*t**2 - 16/11*t**4 + 2/11*t**5 - 16/11 + p*t.
2*(t - 2)**3*(t - 1)**2/11
Suppose -6*w + w = -50. Suppose -3*d - 29 = -32, 3*j - w = -d. Determine s so that 0 - 3/5*s**j + 6/5*s**2 - 3/5*s = 0.
0, 1
Let j(u) = -11*u + 4*u**2 + 9*u**2 - 7 - 22*u**2 + 8*u**2. Let g be j(-10). Solve 12*m + 6 - 19 + g*m**2 - 2 = 0.
-5, 1
Let x(r) be the third derivative of 2/15*r**5 + 0*r**3 + 0*r + 0 + 116*r**2 - 7/6*r**4. Factor x(c).
4*c*(2*c - 7)
Let n(p) be the second derivative of -8/15*p**6 + 2/21*p**7 + 0*p**2 + 0*p**3 - 98*p + p**5 - 2/3*p**4 + 0. Suppose n(x) = 0. What is x?
0, 1, 2
Let p(c) be the second derivative of -c**6/210 - 181*c**5/140 - 690*c**4/7 - 1350*c**3/7 + 8*c + 47. Factor p(w).
-w*(w + 1)*(w + 90)**2/7
What is z in -188*z**2 + 57 - 67 + 11*z + 187*z**2 = 0?
1, 10
Let i be 6*12/(-16)*4/(-9). Factor -h**i + 7*h**2 - 87625*h**3 + 87628*h**3.
3*h**2*(h + 2)
Find f, given that 42 + 163*f**2 + 47*f - 11*f**3 - 128*f - 285*f - 114 = 0.
-2/11, 3, 12
Let j be 3528/31350 - 2/19. Let u = j + 2471/550. Determine b, given that 0 - 6*b**3 + 3/2*b + u*b**2 = 0.
-1/4, 0, 1
Suppose 0 = 8*g + 85 - 21. Let s(b) = -4*b - 27. Let h be s(g). Find r, given that -6*r**h + 3*r**5 + r**4 + 2*r**4 + 6*r**3 = 0.
-1, 0, 2
Let l(z) = -4*z**2 - 3*z - 3. Let r be l(-2). Let i = r + 15. Factor 4*s**2 + 5*s**4 + 6*s**i - 12*s - 8*s + 20*s**3 - 15.
5*(s - 1)*(s + 1)**2*(s + 3)
Let g(y) be the third derivative of -13*y**5/105 - 3*y**4/7 + 32*y**3/21 - 11*y**2 - 21. Determine s, given that g(s) = 0.
-2, 8/13
Suppose -42*u + 40*u = 8. Let o be u + (4794/(-48))/(-17). Factor 0 + o*d**3 + 3/8*d**4 - 3/8*d**5 + 0*d + 9/8*d**2.
-3*d**2*(d - 3)*(d + 1)**2/8
Let o = -744572 + 2978387/4. What is b in -o*b**2 - 243/4*b - 17/4*b**3 - 1/4*b**4 - 54 = 0?
-8, -3
Let t(d) be the first derivative of -1 - 13*d + 1/48*d**4 - 1/6*d**3 + 1/2*d**2. Let r(b) be the first derivative of t(b). Factor r(l).
(l - 2)**2/4
Let a(l) be the second derivative of 1/54*l**4 - 5/27*l**3 + 4/9*l**2 - 2 + 3*l. Factor a(y).
2*(y - 4)*(y - 1)/9
Suppose 35*d = -100*d + 12 - 5 - 7. Let -2/13*t**3 + 0 + 2/13*t + d*t**2 = 0. What is t?
-1, 0, 1
Factor 1/3*i**2 - 158*i + 18723.
(i - 237)**2/3
Let a = 1084 + -1080. Let o be (1545/(-10))/(4 + (-49)/a). Find c such that -98/11*c - 32/11*c**4 - 16/11*c**3 + o*c**2 + 12/11 = 0.
-3, 1/4, 2
Let q(j) be the third derivative of -4*j + 0 + 1/960*j**6 + 25*j**2 - 73/48*j**3 - 145/192*j**4 - 71/480*j**5. Factor q(v).
(v - 73)*(v + 1)**2/8
Let 120/7*r**3 + 12/7 + 82/7*r + 176/7*r**2 = 0. What is r?
-2/3, -1/2, -3/10
Let h be 64/10 + (-2)/5. Let c = -63 + 66. Factor -7*f**3 - 4*f + h*f**3 - 11*f**c + 16*f**2.
-4*f*(f - 1)*(3*f - 1)
Let t(r) be the third derivative of -r**6/840 - 11*r**5/105 - 64*r**4/21 - 128*r**3/3 - 1023*r**2 + 5*r. Suppose t(m) = 0. Calculate m.
-28, -8
Suppose -15*u + 9*u = -12. Determine y, given that 22*y + 5*y**4 - 4*y + 14*y**3 - 3*y**4 + 9*y**u + 21*y**2 = 0.
-3, -1, 0
Let c(l) be the second derivative of -1/114*l**4 + 39*l - 5/57*l**3 + 0 + 0*l**2. Factor c(h).
-2*h*(h + 5)/19
Let f(w) = -45*w**3 + 3470*w**2 + 13740*w + 13760. Let t(d) = -2*d**3 + 2*d**2 - 2*d - 2. Let y(a) = f(a) - 20*t(a). Factor y(r).
-5*(r - 690)*(r + 2)**2
Suppose 95*i + 349*i = -254*i. Find m such that -1/7*m**3 + 0*m + i - 1/7*m**2 = 0.
-1, 0
Factor 292/3*x - 197/6*x**2 + 1/6*x**3 - 194/3.
(x - 194)*(x - 2)*(x - 1)/6
Let g(a) be the third derivative of 0*a + 4/9*a**4 + 7 - 28/9*a**3 - a**2 - 1/90*a**5. Suppose g(r) = 0. Calculate r.
2, 14
Factor 8*b**2 + 83 - 3*b**4 + b**2 - 186 - 114*b + 4*b**3 + 175 + 32*b**3.
-3*(b - 12)*(b - 1)**2*(b + 2)
Factor 16*z**2 + z**2 - 4*z**2 - 88*z - 9*z**2 + 84.
4*(z - 21)*(z - 1)
Let v(b) be the second derivative of b**5 + 1855*b**4/3 - 5*b**3/6 - 1855*b**2/2 + 740*b. Solve v(n) = 0 for n.
-371, -1/2, 1/2
Let m(a) be the second derivative of 2*a**6/75 - 7*a**5/25 - 2*a**4/3 + 32*a**3/15 - 73*a + 1. Factor m(g).
4*g*(g - 8)*(g - 1)*(g + 2)/5
Let r = 675 + -457. Factor 39*g**3 - 4036*g**4 + 882 - 1239*g + 99*g**2 + r*g**2 + 4037*g**4.
(g - 2)*(g - 1)*(g + 21)**2
Suppose 4*u + 5*f = -13, -22 = -4*u + 5*f - 3*f. Factor -b**2 + 80 - u*b**2 + 3753*b - 3785*b.
-4*(b - 2)*(b + 10)
Let m = 264/757 + -2113/186222. Let z = m + 34/41. Factor 6*q + 5*q**2 + 4/3 + z*q**3.
(q + 2)**2*(7*q + 2)/6
Let y be 8/(-8) - 3*(-64)/2. Find b such that 33*b - y*b**2 + 26*b**3 - 169*b**2 + 12*b + 38*b**3 + 57*b**3 - 2 = 0.
1/11, 2
Let w(k) be the third derivative of -1/360*k**6 - 156 + 0*k + 0*k**3 - 2/9*k**4 + 2/45*k**5 - 2*k**2. Factor w(d).
-d*(d - 4)**2/3
Let q(n) be the third derivative of -n**6/300 + 17*n**5/150 + n**4/60 - 17*n**3/15 + 2*n**2 - 323*n. Factor q(z).
-2*(z - 17)*(z - 1)*(z + 1)/5
Determine k, given that -135/2*k**3 - 75/2*k - 90*k**2 - 5 = 0.
-2/3, -1/3
Let i(z) be the first derivative of -3/10*z**4 + 4/5*z**2 + 2/25*z**5 + 0*z + 85 + 0*z**3. Find l such that i(l) = 0.
-1, 0, 2
Let -153*a - 52*a**3 - 120*a + 1413*a**2 - 15*a - 4*a**4 - 1629*a**2 = 0. What is a?
-6, -4, -3, 0
Solve 176*i + 1008 - 5*i**2 + 1001 - 1614 + 214*i = 0.
-1, 79
Let l = 187028 + -1309191/7. Let -2*m**3 - l - 19/7