*(g - 1)/5
Suppose -k + 2 + 0 = 0. Determine t so that -157 + 5*t**2 - 3*t + 157 - k*t = 0.
0, 1
Let u(n) be the second derivative of n**4/30 + n**3/3 - 6*n**2/5 + 45*n + 2. Factor u(d).
2*(d - 1)*(d + 6)/5
Determine f, given that 2/13*f**2 - 6/13 + 4/13*f = 0.
-3, 1
Let q be ((-1548)/(-5031))/((-2)/(-13)). Factor -5/8 - 9/4*o**q - 2*o - 1/8*o**4 - o**3.
-(o + 1)**3*(o + 5)/8
Let g**2 + 4*g**2 - 2*g**2 + 6 - 81*g - 6 = 0. What is g?
0, 27
Let z(i) be the second derivative of -i**9/3024 - i**8/700 - i**7/1050 - 8*i**3/3 - 10*i. Let h(b) be the second derivative of z(b). Factor h(c).
-c**3*(c + 2)*(5*c + 2)/5
Solve 11/2*o**2 - 7 - 3/2*o = 0 for o.
-1, 14/11
Let w(c) = 12*c - 22. Let g be w(2). What is x in 1/4*x**g - x - 1 + 1/4*x**3 = 0?
-2, -1, 2
Suppose 3*h - 5*x = 2*h, -2*h + 24 = -4*x. Let f be (-2 + 3)/(h/6 - 2). Determine r, given that f*r**4 + 3/4*r - 3/2*r**3 + 3/4*r**5 - 3/2*r**2 + 3/4 = 0.
-1, 1
Factor -450*x**2 + 4*x**4 + 9*x**3 + 72*x + 71*x**3 + 0*x**4 + 1030*x**2 - 432*x**2.
4*x*(x + 1)**2*(x + 18)
Let o be 138/(-23)*(-2)/28. Factor 0 + 3/7*r**4 + 3/7*r**3 - 3/7*r**2 - o*r.
3*r*(r - 1)*(r + 1)**2/7
Let l be -20 + (3 - -17)/5. Let b = 16 + l. Solve 3*k**2 - 3/2*k**3 + 0 + b*k = 0 for k.
0, 2
Let y(d) = -d**3 + 2*d. Let u(q) = -q**2 - 7*q - 10. Let v be u(-2). Let c be y(v). Factor -2*l**4 - 9/4*l - 11/2*l**3 - 1/4*l**5 + c - 6*l**2.
-l*(l + 1)**2*(l + 3)**2/4
Suppose 2*n + 6 = 3*q - 3, -4*q + 4*n + 12 = 0. Let k = -8 - -12. Factor -5*p**4 + 2*p**3 - 6*p + q*p**5 - k*p**4 + 7*p**2 + p**3 + 2*p**2.
3*p*(p - 2)*(p - 1)**2*(p + 1)
Let x(a) be the second derivative of -a**4/4 + 8*a**3 - 117*a**2/2 - 178*a. Factor x(f).
-3*(f - 13)*(f - 3)
Let k = -48485/2 - -24245. Factor 1/4*y**2 + 7/4*y + k.
(y + 2)*(y + 5)/4
Let t(h) be the first derivative of -h**5/150 - h**4/30 - 27*h**2/2 + 38. Let s(g) be the second derivative of t(g). Factor s(i).
-2*i*(i + 2)/5
Let p(v) be the first derivative of -5*v**6/16 + 39*v**5/40 + 93*v**4/32 - 5*v**3/8 - 39*v**2/8 - 3*v + 281. Determine q so that p(q) = 0.
-1, -2/5, 1, 4
Solve 0*b + 3/5*b**5 - 12*b**2 + 0 - 84/5*b**3 - 21/5*b**4 = 0.
-2, -1, 0, 10
Suppose 3*l + 111 = -5*j, 0*l - 48 = 2*j + 3*l. Let c be -5 + 1 - 96/j. Determine z, given that -6/7 - c*z + 2/7*z**2 = 0.
-1, 3
Let c(o) = o**2 - 4*o + 1. Let t(z) be the third derivative of z**4/24 - z**3/6 - 7*z**2. Let b(i) = c(i) + 3*t(i). Find f, given that b(f) = 0.
-1, 2
Suppose 4*l = -3*r + 8*r - 32, 3*r - 4*l = 24. Let a = -50 + 52. Let 1/3*x**5 + 1/3*x**r - 1/3*x**a + 2/3*x + 0 - x**3 = 0. What is x?
-2, -1, 0, 1
Let p(m) = -m**3 - m**2 + m. Let c(o) = 2*o**4 + 11*o**3 + 9*o**2 - 7*o. Let l be (24/18)/((-2)/3). Let s(f) = l*c(f) - 14*p(f). Factor s(t).
-4*t**2*(t + 1)**2
Factor -2*d + 12/7 + 2/7*d**2.
2*(d - 6)*(d - 1)/7
Let m(h) be the third derivative of 4*h**2 + 5/36*h**4 - 49/72*h**6 + 0 + 0*h**3 + 0*h - 7/36*h**5. Solve m(s) = 0.
-2/7, 0, 1/7
Let u = 7465/17 - 439. Let d = 58/85 + u. Factor 2/5 + 2/5*b**2 - d*b.
2*(b - 1)**2/5
Suppose 6*o = 3*o + 6. Suppose -18 = -5*c + 4*v, 0 = c + o*v - 6*v - 10. Find p such that -c*p**2 + 8/3 - 2/3*p**3 + 0*p = 0.
-2, 1
Suppose -3*g - 3*s = -138, -4*g - 3*s + 179 = -4*s. Suppose -2*h = 1 - g. Factor -h + f**2 + 23 - f - f.
(f - 1)**2
Let h = 69815/4 + -17453. Factor -6*z + 0 - h*z**2.
-3*z*(z + 8)/4
Let k(z) be the third derivative of -z**5/120 + z**4/3 - 16*z**3/3 - 9*z**2 + z. Factor k(l).
-(l - 8)**2/2
Let b(u) be the first derivative of -u**6/1080 - u**5/120 - u**4/36 - 8*u**3/3 - 14. Let y(g) be the third derivative of b(g). Factor y(j).
-(j + 1)*(j + 2)/3
Let u(d) be the second derivative of d**5/150 + d**4/30 - 2*d**3/15 - 8*d**2/15 - 62*d - 3. Solve u(q) = 0.
-4, -1, 2
Let v(p) = 5*p + 260. Let j be v(-51). Let x be -1 - 0/(-1) - -210. Suppose -k**3 - x - k**j + 2*k**4 + 209 = 0. Calculate k.
0, 1
Let h(g) be the third derivative of g**8/4032 - g**6/144 + 19*g**5/60 + 5*g**2. Let w(a) be the third derivative of h(a). Find p, given that w(p) = 0.
-1, 1
Factor -13/2 - 1/2*d**3 - 15/2*d**2 - 27/2*d.
-(d + 1)**2*(d + 13)/2
Let l be (-4)/18 + ((-300)/135)/(-10) + 2. Let 2/7*j**l + 0 + 0*j = 0. Calculate j.
0
Let r(o) = 7*o**5 + 3*o**4 - o**3 + 7*o**2 - o. Let f(a) = -4*a**5 - 2*a**4 - 4*a**2 + a. Let m(p) = -5*f(p) - 3*r(p). Factor m(s).
-s*(s - 2)*(s - 1)*(s + 1)**2
Suppose 0 = -3*i - 6, 5*g - g + i - 2 = 0. Let h be g/2 + 2/(-4). Factor h*o + 3*o**2 - o + 2*o**2 - 3*o**3 + 3*o.
-o*(o - 2)*(3*o + 1)
Let u(s) be the second derivative of -s**8/84 + s**6/30 - 16*s**2 - 35*s. Let l(m) be the first derivative of u(m). Let l(z) = 0. Calculate z.
-1, 0, 1
Let x(b) be the third derivative of b**7/420 - 3*b**6/80 - b**5/120 + 3*b**4/16 - 19*b**2. Solve x(i) = 0.
-1, 0, 1, 9
Let r be 9 + -4 + -1 + 0. Solve 34*d - 30*d + 0*d**3 - 20*d**4 + 16*d**2 + 4*d**r - 4*d**3 = 0.
-1, -1/4, 0, 1
Let w be ((-2)/68)/(255/260 + -1). Let z = 334/85 - w. Find l such that 0 + 3/5*l - 18/5*l**2 + 27/5*l**3 - z*l**4 = 0.
0, 1/4, 1
Suppose -10*y + 8*y = -14. Suppose -4*j - 6 = -5*n, j - 4 - y = -5*n. What is d in -4*d**2 + 8*d**3 - 2*d**3 - 12*d - 2*d**2 + 12 - 3*d**n + 3*d**4 = 0?
-2, 1
Let d(a) be the third derivative of a**5/30 + a**3/2 + 9*a**2. Let t be (-3 + 4)/(2/20). Let o(i) = 3*i**2 + 5. Let c(j) = t*d(j) - 6*o(j). Factor c(u).
2*u**2
Let j = -89 - -101. Let o be (j/15)/((-6)/(-5)). Factor -2/3*b**4 - o*b**3 + 0*b + 0 + 2/3*b**5 + 2/3*b**2.
2*b**2*(b - 1)**2*(b + 1)/3
Factor 36 - 6*w - 5*w**2 - 1/2*w**3.
-(w - 2)*(w + 6)**2/2
Let m = -589 + 4126/7. Factor -m*b**2 + 3/7*b + 0.
-3*b*(b - 1)/7
Let j be -7 - (-12 + (1 - -2)). Factor 0 + 2/3*w**4 + 4/3*w**3 + 0*w - 2*w**j.
2*w**2*(w - 1)*(w + 3)/3
Let r(h) = -h**2 - 5*h - 4. Let l be r(-4). Let u be 2 - 1*l/(5 - 1). Factor -2/5*z**4 + 4/5 - 2/5*z**3 + 6/5*z**u + 2*z.
-2*(z - 2)*(z + 1)**3/5
Factor 35/2*f + 1225/4 + 1/4*f**2.
(f + 35)**2/4
Let m = 12346/15435 + 2/15435. Let h be (52/(-10))/(-2) - -1. Factor 0 + h*y**2 + m*y + 2*y**4 + 24/5*y**3.
2*y*(y + 1)**2*(5*y + 2)/5
Let i = 770/9 + -14513/171. Let s = i - 33/76. Factor s*f + 1/4*f**3 + 0 - 1/2*f**2.
f*(f - 1)**2/4
Let i(d) = 2*d**2 - d. Let c be i(-1). Let z(q) = q**2 - 2*q. Let s be z(c). Factor 0*l + 1/2*l**2 + 0 + 1/4*l**s.
l**2*(l + 2)/4
Factor 1800/13 + 2/13*r**2 + 120/13*r.
2*(r + 30)**2/13
Let z(p) be the third derivative of p**6/20 - p**5/3 + p**4/12 + 2*p**3 + 10*p**2 - 6. Factor z(r).
2*(r - 3)*(r - 1)*(3*r + 2)
Factor 11*i + 318*i**2 + 17*i - 314*i**2 + 48.
4*(i + 3)*(i + 4)
Suppose 5*y - 4*i - 22 = 0, 239*i = -5*y + 236*i + 1. Determine v, given that -2/21*v - 2/21*v**y + 0 = 0.
-1, 0
Let l be -24*(18 + 2071/(-114)). Factor -11/3*q**3 - 1/3*q**2 - 7/3*q**l + q + 0.
-q*(q + 1)**2*(7*q - 3)/3
Let x be (380/175 - 2)/(3/5). Factor -x*t**2 + 0 + 0*t.
-2*t**2/7
Let i(h) = -h**3 + 23*h**2 - 13*h - 196. Let q be i(22). Factor -1/8*p**4 + 5/8*p + 1/4 - 1/8*p**3 + 3/8*p**q.
-(p - 2)*(p + 1)**3/8
Let p(j) be the third derivative of -11*j**2 + 0*j**3 + 1/210*j**7 + 0*j + 0*j**4 - 1/60*j**5 + 0 + 0*j**6. Suppose p(c) = 0. What is c?
-1, 0, 1
Let f(b) be the second derivative of -1/4*b**4 - 3/2*b**2 + 10*b + b**3 + 0. Factor f(m).
-3*(m - 1)**2
Suppose 0*g = g - k - 2, -2 = -g + 3*k. Determine m so that m - 9*m - 2*m**3 + 15*m**g - 23*m**2 = 0.
-2, 0
Let j(z) be the first derivative of z**6/360 - z**5/20 + z**4/3 - 41*z**3/3 - 32. Let v(i) be the third derivative of j(i). Determine q, given that v(q) = 0.
2, 4
Let f(b) = -b**2 + 2*b - 2. Let p(d) = -12*d**2 + 1120*d + 73952. Let u(x) = 16*f(x) - p(x). Find w such that u(w) = 0.
-136
Suppose -3*c + 7 - 1 = 0. Find y such that -8*y**c - 5*y + 15*y**2 - 5*y - 9*y**2 = 0.
-5, 0
Factor 1/10*j**3 - 7/10*j**2 - 1/10*j + 7/10.
(j - 7)*(j - 1)*(j + 1)/10
Let d(z) = -z + 2. Let k be d(-1). Let h(q) be the first derivative of 10/33*q**k + 3 + 8/11*q - 12/11*q**2. Factor h(g).
2*(g - 2)*(5*g - 2)/11
Factor 810 + 5/2*p**2 + 90*p.
5*(p + 18)**2/2
Suppose 2*y = -4*m + 26, -4*y + 0*y + 40 = 5*m. Factor -h**2 + 3*h**2 + 5*h - y*h**2 - 2*h.
-3*h*(h - 1)
Let b(k) be the third derivative of k**7/35 - 11*k**6/180 - 7*k**5/90 + 11*k**4/36 - 2*k**3/9 + 6*k**2. Let b(n) = 0. What is n?
-1, 2/9, 1
Let h(u) be the second derivative of u**7/21 - 8*u**6/3 + 19*u**5/5 + 20*u**4/3 - 13*u**3 + 829*u. S