 be ((-55)/(-40))/((-4)/112*-1). Let w = p + -37. Suppose 9*r**3 + 0*r**2 - w*r - 12*r**4 + 9/2*r**5 + 0 = 0. What is r?
-1/3, 0, 1
Let x be (3/3)/(2/14). Suppose 3*l + x = -3*q + q, 2*q + 9 = -l. Factor -1 + p**3 + 2*p**3 + 3*p**4 + p**5 + l + p**2.
p**2*(p + 1)**3
Let m = -864 + 870. Let b(j) be the second derivative of -j + 0 - 1/20*j**5 + 0*j**2 + 1/30*j**m + 0*j**4 + 0*j**3. Factor b(w).
w**3*(w - 1)
Let p(h) = 2*h**3 - h**2 - h + 2. Let v be p(1). Factor -15 - v*j**2 - 14 + 6 + 16*j - 9.
-2*(j - 4)**2
Suppose 0 = -13*w - 82 + 82. Let k(d) be the third derivative of -1/105*d**7 + w*d**5 + 0*d**4 + 0*d**3 + 0*d + 0 - 6*d**2 + 1/60*d**6. Factor k(v).
-2*v**3*(v - 1)
Let s = -1801/3 + 612. Let g be (-8584)/(-2664) + 1*2/(-9). Factor 25*x**g + 15*x**2 + 5/3*x**5 + 0 + 0*x + s*x**4.
5*x**2*(x + 1)*(x + 3)**2/3
Suppose -170 + 758 = 147*k. Determine w, given that -13/3*w**k + 2/3*w - 7/6*w**5 + 0 - 9/2*w**3 - 2/3*w**2 = 0.
-2, -1, 0, 2/7
What is n in n**2 - 36*n**2 + 2*n**2 + n**3 + n**2 + 15*n + 45*n = 0?
0, 2, 30
Factor f**3 + 0*f**2 - 11*f**2 - f**5 + f**2 + 9*f**2 + f**4.
-f**2*(f - 1)**2*(f + 1)
Let l be ((-428)/144 - -4) + (-1 - 0). Let k(g) be the second derivative of g + 2/3*g**2 - l*g**4 + 0*g**3 + 0. Factor k(x).
-(x - 2)*(x + 2)/3
Let l(u) be the first derivative of u**4/2 - 128*u**3/3 + 957*u**2 + 4356*u - 304. Factor l(h).
2*(h - 33)**2*(h + 2)
Let q be (-10 - 5628/(-560))*16. Let q*v**4 - 14/5*v**2 - 8/5 - 1/5*v**5 - 1/5*v**3 + 4*v = 0. Calculate v.
-2, 1, 2
Let k = 1211/1604 + -2/401. Let l(c) be the first derivative of -10 + 9/5*c**5 - k*c**4 + 6*c + 3/2*c**2 - 5*c**3. Factor l(i).
3*(i - 1)**2*(i + 1)*(3*i + 2)
Suppose -5*w - 8 = 4*s, -w + 3*s + 264 = 239. Suppose -10*f**2 - 2*f - 7/2*f**3 + 9/2*f**w + 0 = 0. Calculate f.
-1, -2/9, 0, 2
Suppose 2*b - 760 = -8*b. Suppose l - 76 = -b. Suppose l + 3/5*t - 7/10*t**2 - 3/10*t**3 = 0. Calculate t.
-3, 0, 2/3
Suppose -5*n - 4*b - 15 - 7 = 0, -2*n - 4*b = 4. Let z be (-1 - 5/(-7))*6/n. Suppose -z*m**2 + 0 - 2/7*m = 0. Calculate m.
-1, 0
Let q(u) be the second derivative of u**5/20 - 5*u**4/12 + 7*u**3/6 - 3*u**2/2 + 10*u + 2. Factor q(l).
(l - 3)*(l - 1)**2
Let j(q) = q**3 + q + 166. Let c be j(0). Factor -5*m**2 + 2*m**2 - 175*m - 6 + c*m.
-3*(m + 1)*(m + 2)
Let s(k) = -k**2 - 14*k + 3. Let w be s(-14). Determine h so that -15*h**3 + 15*h**2 + 12*h + w*h**5 - 23*h**2 + 8*h**2 = 0.
-2, -1, 0, 1, 2
Factor -2/3*a**2 + 1/3*a**3 + 0 + 1/3*a.
a*(a - 1)**2/3
Let n(z) be the third derivative of 0 - 1/6*z**3 + 0*z + 1/60*z**4 + 1/900*z**6 + 5*z**2 + 1/150*z**5. Let g(h) be the first derivative of n(h). Factor g(l).
2*(l + 1)**2/5
Solve 8/7*w**2 + 4/7 - 18/7*w = 0.
1/4, 2
What is z in 32*z + 188/3*z**2 - 92/3*z**3 - 4/3*z**5 - 48 - 44/3*z**4 = 0?
-6, -1, 1
Suppose -17 + 14 = -w. Find a such that -4*a**w + a**4 + a**4 + 0*a**4 = 0.
0, 2
Let v = 27 - 21. Suppose 5*z - 9 = 2*z. Suppose 2*a + 8*a**2 + 19 + v*a**z - 19 = 0. Calculate a.
-1, -1/3, 0
Suppose 3*g + 5*y = g + 18, -y - 45 = -5*g. Let z = 11 - g. Suppose 55*p + 45*p**2 + 35*p**z + 65*p + 45 = 0. What is p?
-3/4
Let c be (-386)/(-16)*24/72. Let o = 131/8 - c. Factor 15*a**3 - 26/3*a**2 + o*a**4 - 12*a - 8/3.
(a - 1)*(a + 2)*(5*a + 2)**2/3
Factor -27*o - 5 + 2*o**3 - 19 + 0*o**3 - 9*o**2 - 3*o**3 - 3.
-(o + 3)**3
Suppose 0 = 2*i + 2*f + 70 - 26, 0 = i - 5*f + 28. Let w be (-6 - -1)*(-24 - i). Factor 0 + 0*v - 3/5*v**4 - 27/5*v**w + 0*v**2 + 2/5*v**3.
-v**3*(3*v + 1)*(9*v - 2)/5
Let f(o) = -o**3 - 2*o**2 + 2*o + 2. Let i be f(0). Factor 2*n - 2*n**5 - 4*n**4 + 634*n**3 + 4*n**i - 634*n**3.
-2*n*(n - 1)*(n + 1)**3
Let x(g) be the first derivative of -g**3/3 + 7*g**2/2 + 35*g + 21. Let z be x(10). Factor 0 + 0*j - 1/4*j**z - 1/2*j**4 - 1/4*j**3 + 0*j**2.
-j**3*(j + 1)**2/4
Suppose 2*f = -3 + 11. Factor -4*t**4 + 5*t**3 + 4*t**2 + 6*t**3 + t**3 + 13*t**f + 2*t**5.
t**2*(t + 2)**2*(2*t + 1)
Let v(m) be the second derivative of -m**6/72 + 5*m**4/24 + 4*m**3/3 + 14*m. Let g(j) be the second derivative of v(j). Factor g(c).
-5*(c - 1)*(c + 1)
Let q(r) be the second derivative of r**5/20 - 2*r**3 - 8*r**2 + 125*r. What is u in q(u) = 0?
-2, 4
Let m(c) = -21*c**2 - 4374*c - 388800. Let p(l) = 5*l**2 + 1092*l + 97200. Let s(b) = -2*m(b) - 9*p(b). Factor s(d).
-3*(d + 180)**2
Let a be (1/((-225)/6))/(1612/(-155)). Let z(p) be the third derivative of -25/39*p**3 + 5/78*p**4 - a*p**5 + 0*p + 0 - 12*p**2. Factor z(c).
-2*(c - 5)**2/13
Let p(h) be the second derivative of 0*h**4 + 13*h + 0*h**3 + 1/120*h**6 + 0 - 1/80*h**5 + 0*h**2. Factor p(d).
d**3*(d - 1)/4
Let y(t) = 25*t**4 + 31*t**3 - 128*t**2 - 17*t. Let c(o) = -3*o**4 - 4*o**3 + 16*o**2 + 2*o. Let b(s) = -51*c(s) - 6*y(s). Factor b(f).
3*f**2*(f - 2)*(f + 8)
Factor -1785 + 120 - 453*d + 10092 + 135*d + 3*d**2.
3*(d - 53)**2
Determine p, given that 7*p**2 + 5*p**4 - 12 + 1/2*p**5 - 14*p + 27/2*p**3 = 0.
-6, -2, -1, 1
Let o(m) be the second derivative of 1/1800*m**6 + 0*m**2 + 1/75*m**5 - 11/6*m**3 - 6*m + 2/15*m**4 + 0. Let p(d) be the second derivative of o(d). Factor p(c).
(c + 4)**2/5
Let h be (2/2)/(0 + 11/((-55)/(-20))). What is g in 0 + 0*g + 1/4*g**4 - h*g**2 - g**5 + g**3 = 0?
-1, 0, 1/4, 1
Let b(a) be the third derivative of -a**5/390 + 77*a**4/156 - 76*a**3/39 - 450*a**2. Suppose b(w) = 0. What is w?
1, 76
Let h(n) = -n**2 + 5*n - 3. Let u be h(3). Let i(a) = a**2 + 2*a + 1. Let f be i(u). Factor r - f*r**2 - 7*r + r**2.
-3*r*(5*r + 2)
Let i(k) = 2*k**2 + 2*k - 3. Let p be i(3). Let y be (-2*2)/((-14)/p). Factor -3*x**3 - 3*x**5 - 2*x**5 + 3*x - 4*x**2 + 2*x**4 + y*x**5 + x.
x*(x - 1)**2*(x + 2)**2
Let v = 56 - 26. Suppose 0 = -5*y - 3*q + v, 2*q - 1 = 4*y - 3. Factor 0*t**4 + 5*t**4 + 2*t**3 + 3*t**y - 6*t**4 - 4*t**2.
-t**2*(t - 4)*(t - 1)
Let m(x) = -10*x**2 + 10*x + 3. Let f(b) = -18*b**2 + 20*b + 6. Let j(r) = 4*f(r) - 7*m(r). Let h be j(5). Let 6/7*a**2 - 6/7 - 2/7*a + 2/7*a**h = 0. What is a?
-3, -1, 1
Suppose 7*d + 258 = d. Let o = d - -45. Factor 1/2*f + 0 + 1/2*f**3 + f**o.
f*(f + 1)**2/2
Solve -5/2*f + 15/4 - 5/4*f**2 = 0.
-3, 1
Let c(y) = y**3 + 3*y**2 - 8*y - 14. Let v be c(-3). Let k be 0/((-6)/15 + (-16)/v). Let f**3 - 2/3*f + 5/3*f**2 + k = 0. Calculate f.
-2, 0, 1/3
Suppose 2/11*y**2 - 68/11 - 30/11*y = 0. Calculate y.
-2, 17
Factor 210*x - 1600 - 4*x**2 + 331*x - 381*x.
-4*(x - 20)**2
Let p(z) be the second derivative of 2*z**7/21 + 8*z**6/15 + 6*z**5/5 + 4*z**4/3 + 2*z**3/3 + z - 39. Factor p(m).
4*m*(m + 1)**4
Suppose 8*b - 4*t + 24 = 34*b, -5*b = -2*t - 24. Factor 18/7 - 15/7*f - 6/7*f**b + 3/7*f**3.
3*(f - 3)*(f - 1)*(f + 2)/7
Let x = -29 + 33. Suppose h**3 + 3*h**3 - 4 + 6*h - x*h**3 - 2*h**3 = 0. What is h?
-2, 1
Let l be ((-90)/324)/(1/3)*(-3)/5. Let 1/2 + 1/2*d**3 - l*d**2 - 1/2*d = 0. What is d?
-1, 1
Solve -972/5*o**3 - 16/5*o**5 - 1458/5*o**2 + 0 + 0*o - 216/5*o**4 = 0 for o.
-9/2, 0
Let k(x) be the first derivative of 21/2*x**2 - 34 + 6*x + 5*x**3. Let k(v) = 0. What is v?
-1, -2/5
Factor 96 + 4/5*o**3 + 496/5*o + 136/5*o**2.
4*(o + 2)**2*(o + 30)/5
Let c(z) = z**3 + 5*z**2 + 1. Let u be c(-5). Suppose 0 = 5*b + u - 21. Suppose 0 - 8*r**b + 33/5*r**3 + 1/5*r + 16/5*r**5 - 2*r**2 = 0. What is r?
0, 1/4, 1
Determine i, given that 3*i**4 - 4*i**3 - 10*i**5 - 25*i**2 - 41*i**3 - 5*i - 38*i**4 = 0.
-1, -1/2, 0
Let u be 24*5*((-8)/20 + 0). Let v = -46 - u. Factor -4/9*p**3 + 2/9*p**4 + 0*p**v + 4/9*p - 2/9.
2*(p - 1)**3*(p + 1)/9
Find c such that -36/7 - 40/7*c**2 + 12/7*c**3 + 12/7*c**4 + 2/7*c**5 - 78/7*c = 0.
-3, -1, 2
Let h(p) be the first derivative of 0*p - 2/3*p**3 + 7 - 2/15*p**5 - 1/2*p**4 - 1/3*p**2. Determine g so that h(g) = 0.
-1, 0
Let w(h) be the first derivative of -2*h**3/39 - 40*h**2/13 - 6*h + 11. Factor w(q).
-2*(q + 1)*(q + 39)/13
Let x(s) be the first derivative of -s**3/3 - 39*s**2/2 + 40*s - 132. Suppose x(r) = 0. What is r?
-40, 1
Let p(n) = 3*n**4 + 111*n**3 - 141*n**2 - 9*n - 9. Let r(q) = q**4 + 28*q**3 - 35*q**2 - 2*q - 2. Let m(s) = -2*p(s) + 9*r(s). What is t in m(t) = 0?
-11, 0, 1
Let f be 0 - -2 - 1 - (-3 - 15). Let k = -94/5 + f. Determine z so that 0 - 2/5*z**4 + 0*z**3 + 2/5*z**2 - k*z**5 + 1/5*z = 0.
-1, 0, 1
Suppose 6*f = 3*f + 9. Suppose -16 = -2*y + 2*u, -3*y - f*u = -2*y + 8. Factor 3*v**y - v**4 + 12 - 4*v**2 - 10.
2*(v 