a**2 - 23 - 3 - 2*a**3. Let i(g) = -o(g) - 3*u(g). Find l such that i(l) = 0.
-2
Let u(m) be the second derivative of -m**6/120 + m**5/8 - 23*m**4/48 + 7*m**3/12 + 534*m. Find y such that u(y) = 0.
0, 1, 2, 7
Let g be (-3 - -1)*(389 + -390). Solve 1/3*h**g + 2 + 7/3*h = 0.
-6, -1
Let k = -797/518 - -135/74. Determine l, given that -1/7*l**2 - k - 5/7*l + 2/7*l**3 = 0.
-1, -1/2, 2
Let r(x) be the first derivative of -x**2/2 - 6*x + 1. Let v be r(-7). Factor 1 - v - 2*c**3 + 3*c**3.
c**3
Let k be 15/24*-6 + (-15)/(-20). Let g be (-14)/k - (3 + (-28)/12). Solve 2/11*a**3 + 0*a**2 + 0*a + 0 + 6/11*a**g + 4/11*a**5 = 0.
-1, -1/2, 0
Let r(b) be the third derivative of 0*b**3 + 1/84*b**8 - 2/21*b**7 + 19*b**2 + 1/3*b**4 - 7/15*b**5 + 3/10*b**6 + 0*b + 0. Let r(n) = 0. What is n?
0, 1, 2
Solve -626*w**2 + 330*w - 71*w**4 - 256*w**2 - 36 - 125*w**4 + 170*w**2 + 604*w**3 - 16*w**4 + 26*w**5 = 0 for w.
2/13, 1, 3
Find b such that -2/5*b**2 + 22/5 - 4*b = 0.
-11, 1
Suppose -10*a = 10*a. Factor a*m + 0 - 22/19*m**3 - 10/19*m**2 - 4/19*m**4.
-2*m**2*(m + 5)*(2*m + 1)/19
Let o(g) be the first derivative of -35/16*g**2 + 39 + 49/8*g - 13/24*g**3 - 1/32*g**4. Factor o(m).
-(m - 1)*(m + 7)**2/8
Let i(w) = -7*w**3 + 43*w**2 - 6*w + 2. Let s be i(6). Let g be (-12)/(-18) + 2/(-6). Factor 0*j**s - g*j**3 + 1/3*j + 0.
-j*(j - 1)*(j + 1)/3
Let x be ((-30)/5 - -7) + -1. Let n(v) be the second derivative of 1/6*v**4 - 6*v - 2*v**3 + x + 9*v**2. What is z in n(z) = 0?
3
Let i(n) be the first derivative of -n**6/18 - 3*n**5/5 + 3*n**4 - 119. Factor i(f).
-f**3*(f - 3)*(f + 12)/3
Let k(t) = 8*t - 29. Let x be k(4). What is q in 5 - 5*q**4 - 3 - 8*q + 0*q**4 + 6*q**2 + 8*q**x - 3*q**4 = 0?
-1, 1/2, 1
Let k(u) be the first derivative of -13 + 0*u + 1/24*u**6 + 15/16*u**4 + 0*u**2 - 3/4*u**3 - 7/20*u**5. Determine w, given that k(w) = 0.
0, 1, 3
Suppose -233*v + 238*v = 20. Let b be (-3481)/(-1121) + (v/19)/(-2). Find k such that 2/5*k**4 + 2*k**2 + 4/5*k + 8/5*k**b + 0 = 0.
-2, -1, 0
Let m(s) be the second derivative of s**4/6 - 2*s**3 + 9*s**2 - 34*s. Factor m(z).
2*(z - 3)**2
Let y = -190 + 134. Let u be ((-2)/(-56))/((-14)/y). Factor -u*w - 1/7*w**4 + 1/7*w**2 + 1/7*w**3 + 0.
-w*(w - 1)**2*(w + 1)/7
Let x(c) = 40*c**3 + 1434*c**2 - 514*c - 949. Let a(o) = -14*o**3 - 478*o**2 + 172*o + 316. Let h(d) = -11*a(d) - 4*x(d). Factor h(u).
-2*(u - 1)*(u + 80)*(3*u + 2)
Let d(b) be the third derivative of b**7/140 + 19*b**6/60 + 91*b**5/24 - 169*b**4/24 + 35*b**2. Factor d(w).
w*(w + 13)**2*(3*w - 2)/2
Let s = 18 - 15. Let r = 12 - s. Factor -29*m**5 + r*m**5 - 20*m**3 - 28*m**4 + 12*m**3.
-4*m**3*(m + 1)*(5*m + 2)
What is d in 2/9*d**2 + 392/9 + 56/9*d = 0?
-14
Determine s, given that 2*s + 9/4 - 1/4*s**2 = 0.
-1, 9
Let m(p) = -p**3 - p**2 - p. Let l(j) = 15*j**3 + 12*j**2 + 3*j + 6. Let c(t) = l(t) + 12*m(t). Factor c(z).
3*(z - 1)**2*(z + 2)
Let i(p) = 4*p**3 - 2*p**2 - 3. Let b be (4/8 - 1)*-12. Suppose 0 = v + 2 + 12. Let u(x) = 9*x**3 - 5*x**2 - 7. Let q(g) = b*u(g) + v*i(g). Factor q(k).
-2*k**2*(k + 1)
Let i = -36 - -38. Suppose -35*t**3 + 35*t + 3*t**2 - 10 - 4*t**2 + 31*t**i - 23*t**4 + 3*t**4 = 0. Calculate t.
-2, -1, 1/4, 1
Let p be 0 - (-6)/15*-5. Let f be (19/(-38))/(p/9). Suppose -39/4*i**2 - 10*i - f*i**3 - 3 = 0. What is i?
-3, -2/3
Let w(l) = -l**3 + l - 1. Let c(s) = 236*s - 241*s + s**3 + 6*s**3 + 4 + 2*s**2. Let p(h) = -c(h) - 4*w(h). Find i such that p(i) = 0.
-1, 0, 1/3
Let c = -1 - -4. Find w such that 2*w**4 + c*w + 3*w**2 - 3*w**3 - 10*w**4 + 5*w**4 = 0.
-1, 0, 1
Let v = -89881/4 + 22471. Suppose 0 = -5*h - 4*c + 45, 6 + 9 = 5*h - 2*c. Suppose 27/8*x**3 + v*x**2 - 27/8*x**h + 0 + 0*x - 3/4*x**4 = 0. What is x?
-1, -2/9, 0, 1
Suppose -7639*h + 7947*h - 11858*h**2 + 4 - 6 = 0. What is h?
1/77
Suppose 4962*z + 5*a - 47 = 4958*z, 5*z = 7*a - 34. Determine y, given that -8/7 + 4/7*y**5 + 26/7*y**2 + 0*y - 16/7*y**z - 6/7*y**4 = 0.
-2, -1/2, 1, 2
Suppose 0 = -5*d - 15 - 0. Let n(l) = -l**2 - 3*l - 1. Let m(k) = k. Let x(v) = d*n(v) - 3*m(v). Factor x(f).
3*(f + 1)**2
Let -416/9*q + 40/3 - 14/9*q**2 = 0. Calculate q.
-30, 2/7
Suppose 36*m - 37*m - 4 = 0, 5*q = 2*m + 18. Let x be -1 + ((-54)/(-15))/2. Factor -2/5*j**q + x - 2/5*j.
-2*(j - 1)*(j + 2)/5
Let t = 380 - 380. Factor 1/4*l**5 + 0*l**3 + 0*l**2 + 0*l + t + 1/4*l**4.
l**4*(l + 1)/4
Let i(m) be the second derivative of -1/80*m**5 + 1/8*m**3 + 0*m**2 + 1/24*m**4 + 0 + 30*m. Factor i(s).
-s*(s - 3)*(s + 1)/4
Factor 3*w**2 - 21*w**3 + 73*w**2 + 162*w - 16*w**2 + 49*w**3 - 26*w**3.
2*w*(w + 3)*(w + 27)
Let p(o) = -o**3 + o**2 + o + 1. Let b = 13 + -7. Let w(l) = 3*l**3 - 18*l**2 + 15*l + 12. Let v(d) = b*p(d) - w(d). Factor v(i).
-3*(i - 2)*(i - 1)*(3*i + 1)
Let s be -2 + (1/4 - (-66)/24). Let v(q) be the first derivative of 0*q - 1/10*q**5 + 1/6*q**3 - 1/8*q**4 - s + 0*q**2 + 1/12*q**6. Factor v(c).
c**2*(c - 1)**2*(c + 1)/2
Let f(o) be the third derivative of o**7/2520 + o**6/120 - 19*o**4/24 + 24*o**2. Let k(z) be the second derivative of f(z). Solve k(u) = 0.
-6, 0
Let x = 17477/3884 + 1/3884. Let 0 + 3/2*u**4 + x*u**3 + 3/2*u + 9/2*u**2 = 0. Calculate u.
-1, 0
Let c(m) be the third derivative of -m**7/252 + m**6/60 + m**5/10 - m**4/9 - 195*m**2. Solve c(b) = 0 for b.
-2, 0, 2/5, 4
Let c(k) be the second derivative of k**9/22680 + k**8/6048 + k**7/5670 + 11*k**4/6 + 16*k. Let h(g) be the third derivative of c(g). Factor h(r).
2*r**2*(r + 1)*(3*r + 2)/9
Let k(b) = b**2 - 21*b - 29. Let a(y) = -1. Let s(q) = 3*a(q) - k(q). Let t be s(22). Find m such that -2*m**t + 0 - 2/3*m**5 + 0*m - 2/3*m**2 - 2*m**3 = 0.
-1, 0
Factor -264*y + 484*y**2 + 48 - 2662/9*y**3.
-2*(11*y - 6)**3/9
Let k be (-80)/(-60)*144/42. Factor k + 2/7*g**2 + 16/7*g.
2*(g + 4)**2/7
Let f = 30 + -26. Let h(i) = -i**3 + 5*i**2 - 2*i - 5. Let s be h(f). Solve 6/5*a**s - 3/5*a**4 + 0 - 3/5*a**2 + 0*a = 0 for a.
0, 1
Factor -18 - 3/4*b**2 - 33/4*b.
-3*(b + 3)*(b + 8)/4
Suppose -10*h = -6*h - 5*g + 7, -2*h + 1 = -g. Factor -6*d**2 - 10*d - h*d**2 - 21*d**3 - 7*d**2 + 16*d**3.
-5*d*(d + 1)*(d + 2)
Let y be 5 + -4 - 5*9/15. Let s(w) = 5*w + 10. Let i be s(y). Factor -4/3*f**3 + i - 2*f**4 - 2/3*f**5 + 0*f + 0*f**2.
-2*f**3*(f + 1)*(f + 2)/3
Let x(z) = 20*z**2 - 15*z - 48. Let i be x(2). Suppose 0*y = 3*y. Factor 1/3*r**4 + y*r**3 - 1/6*r + 0 + 1/6*r**5 - 1/3*r**i.
r*(r - 1)*(r + 1)**3/6
Let y = -3/167 + 847/668. Find o, given that 5*o**4 - 5/4*o + 0 - 15/2*o**3 + 5*o**2 - y*o**5 = 0.
0, 1
Determine b so that -2/21*b**2 + 34/21*b + 76/21 = 0.
-2, 19
Suppose 30 - 6 = -4*n. Let k = -4 - n. What is h in -8*h**3 + 0*h**2 - 5*h**4 - h**4 - 2*h**k = 0?
-1, -1/3, 0
Let g(x) be the third derivative of 16/57*x**3 + 0 - 2/57*x**4 - 13*x**2 + 1/570*x**5 + 0*x. Factor g(s).
2*(s - 4)**2/19
Let a(p) be the second derivative of 35*p - 147/8*p**2 - 7/4*p**3 + 0 - 1/16*p**4. Suppose a(c) = 0. What is c?
-7
Let q(t) be the first derivative of -t**5/20 - t**4/2 - 11*t**2/2 - 5. Let u(r) be the second derivative of q(r). Factor u(p).
-3*p*(p + 4)
Factor 40 - 177*z**2 - 23885*z**3 + 20*z + 47 - 104*z + 23879*z**3.
-3*(z + 1)*(z + 29)*(2*z - 1)
Suppose -5*m + 2*s = -30, m + 2*m - 37 = 5*s. Let o(k) be the third derivative of 0 + 0*k**3 + 0*k + 1/100*k**5 - 1/40*k**m + 5*k**2. Factor o(v).
3*v*(v - 1)/5
Let i(t) = -t**3 + 4*t**2 - t - 3. Let p(f) = f**3 + 2*f**2 - 3*f + 2. Let g be p(1). Let v be i(g). Let 0 - 4/7*b**2 + 2/7*b + 2/7*b**v = 0. What is b?
0, 1
Suppose 7*y = 3*y + 12. Suppose -2*n - 5*m - 6 = 0, 22*n = 25*n - 2*m - 10. Factor -6*g**2 - 3*g**3 + 4*g**2 + y*g**4 + 3*g**5 - g**n + 0*g**2.
3*g**2*(g - 1)*(g + 1)**2
Let m(w) = 3*w**3 - 56*w**2 + 43*w + 5. Let a(h) = -3*h**3 + 57*h**2 - 42*h - 6. Let t(g) = 5*a(g) + 6*m(g). Factor t(p).
3*p*(p - 16)*(p - 1)
Suppose 0 = 7*h + 5*h + 1452. Let g = h - -126. Factor -2/3*d**2 + 2/3*d**g + 0*d + 0 - 2/3*d**3 + 2/3*d**4.
2*d**2*(d - 1)*(d + 1)**2/3
Factor -32/7*i - 34/7 + 2/7*i**2.
2*(i - 17)*(i + 1)/7
Suppose 0 = 3762*b - 3750*b - 36. Factor -1/2*c**2 + 1/2*c**4 + 0 + c - c**b.
c*(c - 2)*(c - 1)*(c + 1)/2
Let i(w) = w**5 + 2*w**4 - 2*w**2 - 2*w - 7. Let x(c) = c**4 - c**2 - c + 1. Let r(q) = i(q) - 2*x(q). Let b(m) be the first derivative of r(m). Factor b(p).
5*p**4
Let r(s) = -4*s**2 - 2*s + 2. Let z(g) = g**2