+ 0*b + 1/6*b**2 = 0. What is b?
-1, 0, 1
Let q be (0 - 6/(-40))*(-4176)/(-1566). Factor 0 - 4/5*j**2 + 2/5*j + q*j**3.
2*j*(j - 1)**2/5
Solve -2/9*w**5 - 28/9*w**4 - 250/9*w - 44/3*w**3 - 272/9*w**2 - 28/3 = 0.
-7, -3, -2, -1
Factor 0 + 244/11*t - 126/11*t**2 + 2/11*t**3.
2*t*(t - 61)*(t - 2)/11
Let y(i) be the first derivative of -i**3/3 - 37*i**2/2 + 78*i + 2073. Factor y(f).
-(f - 2)*(f + 39)
Let t(s) be the first derivative of -12/17*s**2 - 14/51*s**3 + 0*s - 1/34*s**4 + 68. Let t(h) = 0. What is h?
-4, -3, 0
Let y be 0 - 1134/(-7) - 5. Suppose -44*z + 19 + y = 0. Suppose 0*j + 0 + 4/7*j**5 + 0*j**3 + 0*j**2 + 8/7*j**z = 0. What is j?
-2, 0
Suppose -11*p = -138 + 61. Suppose 0 = i + s - 5, -12*i + 4*s = -p*i - 7. What is a in 6/13*a**2 - 4/13 - 2/13*a**4 + 2/13*a**i - 2/13*a = 0?
-1, 1, 2
Let a(j) be the second derivative of j**9/5040 + j**8/1120 - j**6/120 - j**5/40 + 4*j**4/3 - 17*j - 1. Let u(d) be the third derivative of a(d). Factor u(m).
3*(m - 1)*(m + 1)**3
Let 9/2*x**3 + 96 - 1/2*x**4 - 6*x**2 - 40*x = 0. Calculate x.
-3, 4
Suppose -2*p - 11 = -b - 6, 4*b = 4*p + 16. Suppose 3*g + 8 + 6 = -5*r, -18 = -3*g + b*r. What is t in -1/8*t**g + 5/8*t - 1/2 = 0?
1, 4
Let r(l) be the second derivative of -l**4/60 + 9*l**3/10 - 46*l**2/5 + 2867*l. Let r(g) = 0. Calculate g.
4, 23
Let h(f) be the third derivative of -f**6/540 + 739*f**5/270 + 1481*f**4/108 + 247*f**3/9 - 2019*f**2 - f. Factor h(o).
-2*(o - 741)*(o + 1)**2/9
Suppose -y + i - 2 = 0, 1 + 3 = 3*y - i. Factor 225*q**4 - 33*q**4 + 1143*q**5 + 68*q**y + 8*q**2 - 963*q**5.
4*q**2*(3*q + 1)**2*(5*q + 2)
Suppose 4*y = 2*h + 234 - 56, -3*h = -y + 292. Let w be ((-10)/45)/(11/h). Let -15/2*f - 95/4*f**w + 35/4*f**3 + 0 = 0. Calculate f.
-2/7, 0, 3
Suppose 3*g + 1108 = 3784. Let x = 1801 - g. Let 5*b - 16 - 13*b + 20*b**2 - 915*b**3 + x*b**3 = 0. Calculate b.
-2/3, 2
Suppose -8*w + 3*z = -4*w - 1298, 1611 = 5*w + 2*z. Let i = w + -321. Solve 1/5*h**3 + 2/5*h + 8/5 - h**i = 0.
-1, 2, 4
Let c(j) be the third derivative of -10/3*j**3 + 0*j - 3*j**2 + 11/12*j**5 - 3/8*j**6 + 23 + 10/3*j**4. Factor c(r).
-5*(r - 2)*(r + 1)*(9*r - 2)
Suppose 8*t - 50 = -n + 6*t, 20 = 5*t. Factor n*f**2 + 44*f**2 + 16 - 26*f**2 + 62*f - 14.
2*(f + 1)*(30*f + 1)
Suppose 5*u = 2*k + 6, 0 = 3*u - 3*k - k + 2. What is s in -s**3 - 3171*s + 5*s**2 - s**u + 3168*s = 0?
0, 1, 3
Let l be (-41 + 4)*(2 + -1)*-1. Factor -5 + 108*p - 207*p + 27*p**3 + 4*p**4 + 108*p + l*p**2.
(p + 1)**2*(p + 5)*(4*p - 1)
Let x(r) = 6*r**2 + 303*r - 157. Let l(a) = -28*a**2 - 1514*a + 786. Let o(d) = 2*l(d) + 11*x(d). Suppose o(y) = 0. What is y?
-31, 1/2
Suppose 27 - 227 = 5*s + 3*b, 120 = -3*s + 5*b. Let j be 6 + -4 + 4*(-55)/s. Determine u, given that j - 5/2*u**2 + 5*u = 0.
-1, 3
Let t(r) be the first derivative of 2*r**5/35 + 3*r**4 + 962*r**3/21 + 120*r**2 + 800*r/7 - 970. Let t(n) = 0. What is n?
-20, -1
Suppose a + 13 = -3*p + 9, -2*a = -p - 6. Let y(z) be the second derivative of 5/4*z**4 + 6*z**a - 3/20*z**5 - 4*z**3 + 28*z + 0. Suppose y(u) = 0. What is u?
1, 2
Let c be -14 + (2 - -3) + 12. Let w(x) be the third derivative of 1/140*x**5 + 0 + 1/56*x**4 - x**2 - 3/7*x**c + 0*x. Factor w(s).
3*(s - 2)*(s + 3)/7
Let -1 - 18*o**2 + 1 + 26*o - 7*o**2 + 34859*o**3 - 34860*o**3 = 0. What is o?
-26, 0, 1
Factor -455/6 + 5/3*n**2 + 905/6*n.
5*(n + 91)*(2*n - 1)/6
Factor 604/7*y + 336 + 4/7*y**2.
4*(y + 4)*(y + 147)/7
Let r(z) be the first derivative of 3*z**4/4 - 5*z**3 - 21*z**2 - 1897. Factor r(t).
3*t*(t - 7)*(t + 2)
Let k be (-1235)/(-7800) + (-1)/(-24). Let w(o) be the first derivative of -1/15*o**3 - k*o**2 + 0*o + 1. Factor w(q).
-q*(q + 2)/5
Let i(k) be the third derivative of -k**6/360 + k**5/18 + 11*k**4/72 + 7*k**2 + 89. Factor i(f).
-f*(f - 11)*(f + 1)/3
Let x be 3900/6084 + (-16)/52. Factor 5/3*t**3 + 2/3 + 3*t**2 + x*t**4 + 7/3*t.
(t + 1)**3*(t + 2)/3
Let j(y) be the second derivative of -y**6/420 + y**5/35 + y**4/12 + 7*y**2/2 + 26*y. Let a(m) be the first derivative of j(m). What is f in a(f) = 0?
-1, 0, 7
Let s(d) = 27*d**5 + 4*d**4 - 32*d**3 - 157*d**2 - 144*d. Let k(n) = -2*n**5 + n**2. Let q(v) = 65*k(v) + 5*s(v). Let q(o) = 0. What is o?
-6, -2, 0, 6
Let s(o) be the third derivative of -o**6/24 - 91*o**5/6 - 1805*o**4/24 - 150*o**3 + 7093*o**2. Solve s(f) = 0 for f.
-180, -1
Let k(t) = 4*t + 5. Let l be k(5). Suppose l = 4*y + 17. Factor -10*n + 4*n**2 - 5*n**4 + 5*n**4 + y*n + 2*n**3 - n**4.
-n*(n - 2)**2*(n + 2)
Suppose -26*n = -27*n + 3. Factor 2110*l - 553*l**4 + 2590*l - 11945*l**2 - 500 + 148*l**4 + 4230*l**n.
-5*(l - 5)**2*(9*l - 2)**2
Let y(o) = 25*o**3 + 340*o**2 - 990*o - 5. Let h(a) = -6*a**3 + 2*a**2 - 3*a + 1. Let f(x) = 5*h(x) + y(x). Factor f(u).
-5*u*(u - 67)*(u - 3)
Suppose 14*x + 14 = 56. What is g in 2784*g**2 - 7*g**x + 2763*g**2 - 5510*g**2 - 10*g = 0?
0, 2/7, 5
Let h = 124 - 75. Factor -2 - h*d + 4*d**3 - 46*d + 6*d**2 + 95*d.
2*(d + 1)**2*(2*d - 1)
Suppose -5*x - 27 = -87. Let r(w) = -20*w - 8. Let a(i) = 17*i**2. Let f(m) = 7*m**2. Let j(g) = -2*a(g) + 5*f(g). Let c(u) = x*j(u) + r(u). Factor c(d).
4*(d - 2)*(3*d + 1)
Let h be (-3)/(-2)*(1/(-5) - (-3885)/8325). Factor 12/5*m**4 + 32/5*m**2 + 4/5 - h*m**5 - 18/5*m - 28/5*m**3.
-2*(m - 2)*(m - 1)**4/5
Let w(n) be the third derivative of -n**6/2520 + n**5/84 - n**4/8 + 59*n**3/2 - 98*n**2 + 1. Let a(p) be the first derivative of w(p). Factor a(i).
-(i - 7)*(i - 3)/7
Let r = -2729 - -2729. Let h(s) be the second derivative of 1/6*s**6 + 0*s**3 - 1/6*s**4 + 0*s**2 - 3/20*s**5 + 15*s + r. Let h(d) = 0. What is d?
-2/5, 0, 1
Let d(w) be the second derivative of -w**5/50 - 47*w**4/15 - 364*w**3/15 - 72*w**2 + 431*w + 3. Let d(y) = 0. Calculate y.
-90, -2
Factor -1320*i**3 - 126087 - 1256226 - 5*i**4 - 98123*i**2 - 838200*i + 4653*i**2 - 633812.
-5*(i + 5)**2*(i + 127)**2
Suppose -198 - 738 = 6*g. Let k be g/(-504) - 2/12. Factor k*h + 1/7*h**2 - 1/7*h**3 - 1/7.
-(h - 1)**2*(h + 1)/7
Let n be -5 - 6*(58/(-15) - -3). Let m(l) be the first derivative of -n*l**5 - 1/6*l**3 - 10 + 9/16*l**4 + 0*l + 0*l**2. Determine s so that m(s) = 0.
0, 1/4, 2
Determine z so that -167/3*z - 15*z**2 - 41 - 1/3*z**3 = 0.
-41, -3, -1
Let a = 16141 + -193657/12. Let v(j) be the second derivative of 19*j - 1/12*j**6 + 0 - 5/2*j**2 - 15/8*j**4 - a*j**3 - 5/8*j**5. Factor v(o).
-5*(o + 1)**3*(o + 2)/2
Suppose 62*l - 9*l = 0. Let o(k) be the third derivative of 0*k - 1/70*k**7 + 1/5*k**5 - 5*k**2 + l*k**4 + 0 + 0*k**3 - 3/40*k**6. Suppose o(p) = 0. What is p?
-4, 0, 1
Let g(y) be the first derivative of 4/15*y**5 - 13/18*y**4 + 8/9*y**3 + 0*y - 4/9*y**2 - 1/27*y**6 + 48. What is z in g(z) = 0?
0, 1, 2
Let a be 1584/(-1485)*(-35)/28. Factor 10/3*j**2 - j**3 - 11/3*j + a.
-(j - 1)**2*(3*j - 4)/3
Let r(x) be the second derivative of 2*x**5/5 - 13*x**4/6 - 109*x**3/3 + 28*x**2 - 1011*x. Suppose r(j) = 0. What is j?
-4, 1/4, 7
Let y be 4/(-5) - (-63)/45. Let k(g) be the second derivative of 0 + 0*g**3 + 3/2*g**4 + 1/15*g**6 - y*g**5 + 0*g**2 - 14*g. Factor k(h).
2*h**2*(h - 3)**2
Let x(w) = 16*w**2 + 85*w + 964. Let c(l) = -l**2 + 2. Let t(a) = 30*c(a) + 2*x(a). Find f, given that t(f) = 0.
-71, -14
Find u, given that -36/7*u - 114/7*u**3 + 110/7*u**2 + 6*u**4 - 2/7*u**5 + 0 = 0.
0, 1, 18
Let m(y) be the third derivative of -y**6/1260 + 237*y**5/14 - 4212675*y**4/28 + 4992019875*y**3/7 - y**2 + 1952. Factor m(r).
-2*(r - 3555)**3/21
Let x be (-804)/1407 - (2 - 135/28) - (-6 + 7). Determine f so that 1/4*f**5 + 5/4*f**2 - 1/4*f**4 - x*f**3 + f - 1 = 0.
-2, -1, 1, 2
Let 688/11 + 102/11*g + 2/11*g**2 = 0. What is g?
-43, -8
Let g(f) = -560*f - 5600. Let v be g(-10). Factor -1/2*z**4 + 7/2*z**2 - 3*z**3 + v + 0*z.
-z**2*(z - 1)*(z + 7)/2
Find x, given that -4097344/7*x + 4684/7*x**4 - 4/7*x**5 + 4106692/7*x**2 - 1378252/7*x**3 + 1364224/7 = 0.
1, 584
Suppose 36 = 2*b - 4*i, 0*i - 4*i = 16. Find k, given that 0 + b*k**2 - 11*k**2 - 2*k - 7 + 6 = 0.
-1
Let r = -695 - -701. Let t(j) = -19*j + 114. Let z be t(r). Factor g**2 - 1/2*g**5 + 0*g**4 + z*g + 3/2*g**3 + 0.
-g**2*(g - 2)*(g + 1)**2/2
Let x(y) be the second derivative of y**5/100 - 44*y**4/5 + 527*y**3/30 - 2008*y. Determine p, given that x(p) = 0.
0, 1, 527
Let c(a) be the first derivative of -a**4/2 - 34*a**3 - 2044. Factor c(k)