)**2*(x + 1)/7
Solve -2/21*b**3 + 270/7 + 6/7*b - 26/21*b**2 = 0.
-9, 5
Suppose -8 = 7*b + 6. Let i(y) = -9*y - 8. Let g be i(b). Factor -5*j**2 + 0*j**3 + g*j + 4*j**5 + 5*j**4 - 4*j**3 + j**3 - 11*j.
j*(j - 1)*(j + 1)**2*(4*j + 1)
Let f(w) be the second derivative of -54/7*w**2 - w + 9 + 9/35*w**5 - 6/7*w**3 + 5/4*w**4 + 1/70*w**6. Determine n so that f(n) = 0.
-6, -1, 1
Suppose 9*f = 4*x + 7*f + 58, 5*x + 3*f = -67. Let s be (14 + x)/((-3)/6*2). Let 0 + s*p - 2/5*p**5 - 4/5*p**2 - 2*p**3 - 8/5*p**4 = 0. What is p?
-2, -1, 0
Let l(f) be the second derivative of 9/10*f**2 - 9*f - 8 - 7/20*f**4 - 7/10*f**3 + 9/100*f**5. Factor l(z).
3*(z - 3)*(z + 1)*(3*z - 1)/5
Let o(u) be the first derivative of -u**5/10 - u**4/6 - 13*u - 128. Let q(g) be the first derivative of o(g). Suppose q(i) = 0. What is i?
-1, 0
Let a(f) = -2*f**3 - 3*f**2 + 13*f + 4. Let y be a(-4). Suppose y*z = 37*z - 90. Factor 4*j**2 + z*j**2 + 10*j - 7*j**2 + 5*j**3.
5*j*(j + 1)*(j + 2)
What is q in 13*q**2 + 107*q - 180 - 27*q**2 + 0*q**2 + 16*q**2 - 53*q = 0?
-30, 3
What is d in 2*d**2 + 1519*d + 182 - 1805*d + 102 = 0?
1, 142
Let y(k) be the first derivative of k**4/3 - 20*k**3/9 + 16*k**2/3 - 16*k/3 + 1109. Factor y(c).
4*(c - 2)**2*(c - 1)/3
What is v in -768/5*v - 6/5*v**5 - 16/5*v**4 - 576/5 + 236/5*v**2 + 26*v**3 = 0?
-4, -2/3, 3
Solve -74*v**3 + 2788*v**2 - 65724*v - 858*v**3 + 65748*v = 0.
-2/233, 0, 3
Let o be -4*284/40 + (-4)/(-10). Let s(n) = -n**3 - 32*n**2 - 115*n - 84. Let v be s(o). Factor -5/3*b**2 + v - 5*b.
-5*b*(b + 3)/3
Let f be (295/40 + -7)*8. Suppose -28*d + 29*d - f = 0. Let 9/8*j**2 - 3/8*j**4 + 15/8*j + 3/4 - 3/8*j**d = 0. What is j?
-1, 2
Solve -583*u + 16*u**3 - 12*u**3 + 1320 - 362*u - 283*u - 96*u**2 = 0 for u.
-10, 1, 33
Suppose 0 = 5*m - 2*w - 4, -3*m = 10*w - 8*w - 28. Factor 35/2*x**3 + 55/2*x**2 + 25/2*x + 5/2*x**m + 0.
5*x*(x + 1)**2*(x + 5)/2
Let x = 1692630 + -1692628. Find h, given that -15/2*h**x - 5 + 5/4*h**3 + 45/4*h = 0.
1, 4
Let i = 15205 + -15205. Suppose -12*h + 9*h + 12 = 0. Suppose 0*c**2 + 2*c**3 - 4/3*c**h - 2/3*c + i = 0. Calculate c.
-1/2, 0, 1
Let n(a) be the second derivative of -32/21*a**3 + 0*a**2 + 8/7*a**4 + 0 - 103*a + 1/5*a**5. Factor n(s).
4*s*(s + 4)*(7*s - 4)/7
Let x = 182 - 59. Factor 3*n + 4*n**5 - x*n**3 + n + 115*n**3.
4*n*(n - 1)**2*(n + 1)**2
Suppose 35*i - 589 - 216 = 0. Solve -6*y**3 + 20*y**3 - i*y**3 - 4*y**4 + y**4 = 0 for y.
-3, 0
Let p(n) be the first derivative of -3*n**4/4 + 63*n**3 - 2673*n**2/2 - 9801*n - 1137. Suppose p(g) = 0. Calculate g.
-3, 33
Let i = 212 - 100. Let g = -179/2 + i. Factor g*v - 15*v**2 - 10 + 5/2*v**3.
5*(v - 4)*(v - 1)**2/2
Let n = -77 + 79. Let r be n/(12/4 - 2). What is g in -105*g**r + 55*g**2 + 4*g**3 + 35*g**2 + 6*g**3 + 5*g = 0?
0, 1/2, 1
Let i(q) = 3*q**2 - q - 5. Let n be i(-4). Factor -33*w**2 - w + 26*w - 16 + 4*w**3 + n*w.
(w - 4)**2*(4*w - 1)
Factor -3*u + 15*u - 7*u - 105*u + 1976 - 4*u**2.
-4*(u - 13)*(u + 38)
What is h in 1525/9*h + 1/9*h**5 + 0 - 8*h**4 + 706/9*h**3 - 240*h**2 = 0?
0, 1, 5, 61
Find k such that 111/5*k + 114/5 - 3/5*k**2 = 0.
-1, 38
Let s(q) be the third derivative of -q**8/1680 + 3*q**7/350 - q**6/200 - 197*q**5/300 + 29*q**4/5 - 24*q**3 - 142*q**2. Suppose s(y) = 0. Calculate y.
-5, 3, 4
Let i(t) be the third derivative of -24*t + 0 - 1681/35*t**5 - 8*t**2 - 1/735*t**7 - 2825761/21*t**3 - 68921/21*t**4 - 41/105*t**6. What is a in i(a) = 0?
-41
Let p be 161/(-46)*(-36)/63. Let y(t) be the first derivative of -12 - 16/7*t**p + 2/21*t**3 + 128/7*t. Solve y(i) = 0.
8
Let v(i) be the first derivative of -98 + 2/3*i**5 + 0*i**2 + 0*i + 1/9*i**6 + 8/9*i**3 + 4/3*i**4. Factor v(g).
2*g**2*(g + 1)*(g + 2)**2/3
Let z(x) be the second derivative of -44*x - 1/26*x**5 + 17/39*x**3 - 1/78*x**4 + 12/13*x**2 + 1/195*x**6 - 2. Suppose z(l) = 0. What is l?
-1, 3, 4
Let q(r) = r**5 - r**3 - 2*r**2 - 2. Let i(v) = -v**5 - 16*v**4 + 45*v**3 - 38*v**2 + 16*v + 6. Let x(n) = -i(n) - 3*q(n). What is m in x(m) = 0?
0, 1, 2, 4
Let n(i) be the first derivative of -2*i**2 - 134*i + 204. Let k be n(-34). Factor -1/2*v**k + 0*v + 1/2.
-(v - 1)*(v + 1)/2
Let i(a) be the first derivative of a**5/120 - a**4/72 - 5*a**3/18 - 2*a**2/3 + 39*a - 42. Let y(b) be the first derivative of i(b). Factor y(f).
(f - 4)*(f + 1)*(f + 2)/6
Let t be 1384/2 - (21 + -13). Let 11*m**3 + t*m**2 - 7879*m - 4308*m - 5791*m - 21010*m + 740772 - 15*m**3 = 0. What is m?
57
Suppose 9*y + 41*y = -15*y. Let k(a) be the first derivative of -1/26*a**4 - 15 + 2/65*a**5 - 2/39*a**3 + y*a + 1/13*a**2. Solve k(d) = 0 for d.
-1, 0, 1
Let p be (55/(-15) + 3)*(512/(-132) + (-980)/(-294)). Solve p + 6*h**2 - 70/11*h = 0.
2/33, 1
Let m = 4 - 2. Determine j, given that -1 - 6*j**m + 8*j + 1 + 4*j**2 = 0.
0, 4
Suppose -66 - 75 = 28*x + 83, -4*s = -x - 20. Find o such that 1/3*o - 1/9*o**s + 2/9*o**2 + 0 = 0.
-1, 0, 3
Let 856/5*k + 2/5 + 854/5*k**2 = 0. Calculate k.
-1, -1/427
Let b = -9303/26 - -83779/234. Factor b*p**4 + 26/9*p**2 + 0 + 0*p - 28/9*p**3.
2*p**2*(p - 13)*(p - 1)/9
Suppose 2/7*z**3 + 488064/7*z - 984064/7 + 1980/7*z**2 = 0. What is z?
-496, 2
Let z be 33/12 + 2/8. Let x(s) be the first derivative of 3/2*s**2 + 3/16*s**4 - s**z - 13 + 0*s. Factor x(j).
3*j*(j - 2)**2/4
Let f(m) be the third derivative of -m**6/24 - m**5/3 + 55*m**4/6 + 80*m**3 + 7*m**2 - 17*m + 2. Factor f(s).
-5*(s - 6)*(s + 2)*(s + 8)
Find a, given that -58/5*a**4 + 0 - 2/5*a**5 - 158/5*a**2 - 162/5*a**3 - 52/5*a = 0.
-26, -1, 0
Let p(g) = -g**3 - 1. Let j(w) = 4*w**3 - 12*w**2 + 2. Suppose 4*t - 5*a = -17, t - 2*a + 4 = -2*t. Let k(l) = t*p(l) + j(l). Factor k(v).
2*v**2*(v - 6)
Let q = -579617 - -8694257/15. Solve 0 - q*f**3 + 12/5*f - 34/15*f**2 = 0 for f.
-18, 0, 1
Let p(u) be the first derivative of 3*u**3 + 12/35*u**5 - 3 + 6/7*u**2 + 9/4*u**4 + 0*u. Let p(i) = 0. Calculate i.
-4, -1, -1/4, 0
Suppose -52*r**2 - 20*r**3 - 4176*r + 27654*r + 39200 - 122598*r + 2860*r**2 = 0. Calculate r.
2/5, 70
Suppose 3*s - 6 = -4*f - 8, -4 = -s + f. Solve z**4 - 10*z - 4*z**s - 6*z**3 + 0*z**2 + 16*z**3 + 2*z**2 + z**2 = 0 for z.
-10, -1, 0, 1
Let l(h) be the first derivative of 5*h**7/98 - 4*h**6/35 + 3*h**5/140 + h**4/14 - 30*h + 26. Let j(c) be the first derivative of l(c). Factor j(i).
3*i**2*(i - 1)**2*(5*i + 2)/7
Suppose 3*n - 45*n - 64*n = -6*n. Let c(k) be the first derivative of 0*k**2 - 5 + n*k - 2/3*k**3. Factor c(w).
-2*w**2
Let w(s) be the first derivative of 4*s**2 + 4/15*s**5 - 20/9*s**3 - 2/3*s**4 + 26 + 0*s. Factor w(o).
4*o*(o - 3)*(o - 1)*(o + 2)/3
Let u(o) be the second derivative of o**4/42 + 29*o**3/7 + 170*o**2/7 + o + 4259. Factor u(j).
2*(j + 2)*(j + 85)/7
Let n(k) be the first derivative of k**4/4 + 88*k**3/3 - k**2/2 - 88*k + 3475. Solve n(u) = 0 for u.
-88, -1, 1
Let d = -77997 - -389989/5. Factor -27436/5 - 4332/5*t - 228/5*t**2 - d*t**3.
-4*(t + 19)**3/5
Let c(m) = 12*m - 2. Let a(l) be the third derivative of 1/60*l**5 + 0 + 1/24*l**4 - 10*l**2 + 1/6*l**3 + 0*l. Let w(o) = -4*a(o) - 2*c(o). Factor w(r).
-4*r*(r + 7)
Let f(l) be the second derivative of 1/63*l**7 + 0*l**2 + 0*l**3 + 4/15*l**5 - l + 8/9*l**4 - 24 - 7/45*l**6. Find r such that f(r) = 0.
-1, 0, 4
Let q(y) be the first derivative of -y**5/45 - y**4/3 - 16*y**3/9 - 11*y**2 - y + 43. Let n(o) be the second derivative of q(o). Factor n(i).
-4*(i + 2)*(i + 4)/3
Let h(s) be the third derivative of 0*s**5 - 1/2016*s**8 + 1/720*s**6 - 3*s + 0*s**3 + 0*s**4 + 0*s**7 + 0 - 2*s**2. Solve h(z) = 0 for z.
-1, 0, 1
Factor 45/2*m**3 + 1/4*m**5 + 19/4*m**4 + 39/4 + 133/4*m + 83/2*m**2.
(m + 1)**3*(m + 3)*(m + 13)/4
Determine i, given that -20*i**2 - 4*i**3 + 4*i**3 + 36*i**2 - 24*i + 2*i**3 - 306 + 18 = 0.
-6, 4
Factor -294 + 207/4*j**2 + 21/2*j + 3/4*j**4 - 12*j**3.
3*(j - 7)**2*(j - 4)*(j + 2)/4
Let u be ((-30)/(-5))/((-42)/(-161)). Suppose u*h + 14*h - 74 = 0. Factor 0*z + 2/3 - 2/3*z**h.
-2*(z - 1)*(z + 1)/3
Let p(t) be the first derivative of 1/480*t**5 + 0*t - 8 - 1/48*t**4 + 0*t**3 - 19*t**2. Let y(v) be the second derivative of p(v). Factor y(g).
g*(g - 4)/8
Let b(t) be the third derivative of 3*t**3 + 2*t + 1/20*t**5 + 7/8*t**4 + 0 - 6*t**2. Factor b(s).
3*(s + 1)*(s + 6)
Let h = 7383041/320 - 23072. Let d(t) be the third derivative of 1/64*t**4 + 25