s**2 - 24*s. Let m(r) = n*v(r) - 14*j(r). Determine t so that m(t) = 0.
-1, 0
Factor -2/17*d + 2/17*d**2 + 2/17*d**3 - 2/17.
2*(d - 1)*(d + 1)**2/17
Factor -4*m**3 - 2*m - 12*m**2 + 2*m**4 + 6*m**5 - m**4 + 9*m**4 + 2.
2*(m - 1)*(m + 1)**3*(3*m - 1)
Let x be 2/(-6) - (-47)/6. Let n be 1 + (-57)/(-18) + (-3)/(-9). Find u, given that n*u**4 + 3/2*u + 21/2*u**3 + 0 + x*u**2 = 0.
-1, -1/3, 0
Let s be 6 + (-2 - -1) + 4. Let w be 18/(-45)*(-5)/s. Let -2/9*g**2 + 0*g - w*g**4 + 4/9*g**3 + 0 = 0. What is g?
0, 1
Suppose 9 = -4*p + a - 5, -6 = 3*a. Let o(g) = -5*g**2 + 5*g - 9. Let l(c) = -3*c**2 + 2*c - 4. Let k(f) = p*o(f) + 9*l(f). Factor k(w).
-w*(7*w + 2)
Factor -2*b**2 + 0*b + 3*b - 2 + b**2.
-(b - 2)*(b - 1)
Let m be 9 + -9 - 1*5. Let a(g) = -3*g**2 + 7*g - 5. Let r(x) = -4*x**2 + 10*x - 7. Let q(f) = m*r(f) + 7*a(f). Solve q(n) = 0 for n.
-1, 0
Let k(u) be the second derivative of -u**4/12 + u**3/6 + u - 2. Factor k(x).
-x*(x - 1)
Let n(y) = -y - 3. Let q(z) = -z**3 - 3*z**2 + 7*z + 5. Let h be q(-4). Let k be n(h). Factor -2*o**5 + 3*o - 5*o**2 - o + 4*o**k + o**2.
-2*o*(o - 1)**3*(o + 1)
Determine i so that 0 + 0*i**3 + 1/3*i**4 - 1/3*i**2 + 0*i = 0.
-1, 0, 1
Determine k so that -5 - 18*k**2 - 6*k + 9 - 4*k**3 + 4 = 0.
-4, -1, 1/2
Let 4*d - 4*d - 2*d**2 + 64*d**4 - 62*d**4 = 0. Calculate d.
-1, 0, 1
Let m(s) be the second derivative of s**8/840 + s**7/525 - s**6/300 - s**5/150 + 7*s**2/2 + s. Let j(g) be the first derivative of m(g). Factor j(z).
2*z**2*(z - 1)*(z + 1)**2/5
Let r = -9/13 - -71/65. Factor 0 + 2/5*v**2 + r*v**3 + 0*v.
2*v**2*(v + 1)/5
Let b = 23 - 49. Let h be b/(-65) - (-36)/10. Suppose -8/5*n**3 + 8/5*n**h - 2/5*n**5 - 4/5*n**2 - 4/5 + 2*n = 0. Calculate n.
-1, 1, 2
Let z(t) = t + 9. Let f be z(-7). Let h = 4 - f. Factor -g**3 + 0*g**h + g + 2*g**2 + 2*g**3.
g*(g + 1)**2
Let v(z) be the second derivative of z**5/30 - z**4/9 - z**3/9 + 2*z**2/3 + 7*z. Factor v(c).
2*(c - 2)*(c - 1)*(c + 1)/3
Let h = -8 + 15. Let o(n) be the third derivative of 1/840*n**h - 1/120*n**5 + 0 - 2*n**2 + 1/24*n**3 + 0*n**6 + 0*n + 0*n**4. Solve o(b) = 0.
-1, 1
Let u be 3 - 5/((-70)/(-21)). Solve u*y + 0 + 3/4*y**2 - 21*y**3 = 0.
-1/4, 0, 2/7
Let a(r) be the third derivative of -1/240*r**5 + 1/840*r**7 + 1/48*r**4 - 1/240*r**6 - 7*r**2 + 0 + 0*r + 0*r**3. Factor a(t).
t*(t - 2)*(t - 1)*(t + 1)/4
Let n(v) be the third derivative of -5*v**8/168 - 11*v**7/42 - 3*v**6/4 - v**5/3 + 5*v**4/3 + 3*v**2. Factor n(p).
-5*p*(p + 2)**3*(2*p - 1)
Let a(u) be the second derivative of 1/60*u**5 - 1/180*u**6 - 1/6*u**3 + 0*u**2 + 0*u**4 + 0 - u. Let c(d) be the second derivative of a(d). Factor c(j).
-2*j*(j - 1)
Let h(a) be the third derivative of -a**8/1176 - 4*a**7/735 - a**6/105 + a**2. Factor h(j).
-2*j**3*(j + 2)**2/7
Let h(x) = -x - 1. Let i be h(6). Let b = i + 10. Let s(q) = -q**3 + 6*q - 1. Let c(t) = -t + 1. Let a(l) = b*c(l) + s(l). Factor a(j).
-(j - 2)*(j + 1)**2
Let t = -745 - -747. Factor -4/9*o**t - 14/9*o**3 + 4/9 + 14/9*o.
-2*(o - 1)*(o + 1)*(7*o + 2)/9
Let b = 9 - 7. What is c in -2*c + 5*c - b*c**2 + c = 0?
0, 2
Let m be (2/(-2))/((-2)/10). Let x be 4/(-2) + 10/4. Factor u**2 + 0*u**3 - x*u + 1/2*u**m - u**4 + 0.
u*(u - 1)**3*(u + 1)/2
Let q(n) = n**3 - 5*n**2 + 3. Let k be q(5). Factor -t**2 - t**3 - t**2 - t**2 - k*t - 1.
-(t + 1)**3
Let i(p) be the first derivative of -p**5/40 + p**4/4 - p**3 + p**2/2 - 2. Let y(k) be the second derivative of i(k). Factor y(x).
-3*(x - 2)**2/2
Let p = -4/87 + 70/261. Factor 2/9*q**2 + 2/9*q**3 - p*q**4 + 0*q - 2/9*q**5 + 0.
-2*q**2*(q - 1)*(q + 1)**2/9
Let m(i) = i**3 - 8*i**2 - 11*i + 12. Let g be m(9). Let v = g - -9. Suppose 0 + 0*q + 1/5*q**v - 2/5*q**2 + 1/5*q**4 = 0. What is q?
-2, 0, 1
Let j(q) = 16*q**2 - 6*q - 30. Let o(m) = 3*m**2 - m - 6. Let l(g) = -6*j(g) + 33*o(g). What is w in l(w) = 0?
-3, 2
Let i(y) be the first derivative of 2*y + 1/6*y**2 + 0*y**3 - 1/12*y**4 + 1/30*y**5 + 3. Let p(h) be the first derivative of i(h). Let p(w) = 0. Calculate w.
-1/2, 1
Let q(t) be the third derivative of 1/70*t**5 + 0*t - 1/784*t**8 + 1/56*t**4 + 3*t**2 + 0*t**6 + 0*t**3 + 0 - 1/245*t**7. Factor q(c).
-3*c*(c - 1)*(c + 1)**3/7
Let x(w) be the first derivative of -w**4/14 + 2*w**3/7 + 6*w**2/7 - 16*w/7 - 14. Solve x(q) = 0.
-2, 1, 4
Let s(j) be the third derivative of -j**7/420 - j**6/60 - j**5/120 + j**4/8 - 20*j**2. Suppose s(l) = 0. Calculate l.
-3, -2, 0, 1
Let i be (6/(-6))/((-1)/2). Suppose 9*z**i - 6*z**3 + 4*z**4 - z - 5*z**2 + 0*z**4 - z**5 = 0. What is z?
0, 1
Find a, given that 6*a**4 - 6/5*a + 6*a**2 - 4/5 + 62/5*a**3 = 0.
-1, -2/5, 1/3
Let s(a) = a - 2*a**2 + 5*a**2 + 6*a**2 + 3 + 5*a. Let x(f) = f**3 - 1. Let l(t) = -s(t) - 3*x(t). Suppose l(i) = 0. Calculate i.
-2, -1, 0
Let i(k) = -3*k**2 - 3*k - 2. Let c be i(-1). Let s be -4*(-2 + c + 3). Let -32/5*y**5 - 48/5*y**s - 6*y + 44/5*y**2 + 4/5 + 62/5*y**3 = 0. What is y?
-2, -1, 1/4, 1
Let o(t) be the second derivative of -t**7/210 - t**6/120 + t**2 - t. Let v(c) be the first derivative of o(c). Factor v(n).
-n**3*(n + 1)
Let k(r) = r**3 + 5*r**2 - 6*r + 1. Let y be k(-6). Let d be (y + 4)*(-42)/(-10). Let d*a + a**3 - 21*a = 0. Calculate a.
0
Factor -6*r**2 + 6*r**4 + 84*r**3 - 81*r**3 - 17*r + 14*r.
3*r*(r - 1)*(r + 1)*(2*r + 1)
Suppose 2*g - 256 + 248 = 0. Solve -n - 1/2*n**g + 1/2*n**2 + 0 + n**3 = 0 for n.
-1, 0, 1, 2
Let k(t) = 40*t**4 - 216*t**3 + 386*t**2 - 156*t + 26. Let v(j) = -j**4 + j**3 - 1. Let a(f) = k(f) + 8*v(f). Factor a(u).
2*(u - 3)**2*(4*u - 1)**2
Let 0 - 1/5*t**3 - 3/5*t**2 - 2/5*t = 0. Calculate t.
-2, -1, 0
Let d(b) be the second derivative of b**7/280 + b**6/160 - b**5/40 + 5*b**2/2 + 5*b. Let g(u) be the first derivative of d(u). What is i in g(i) = 0?
-2, 0, 1
Let u be ((-5)/(-885))/((-2)/(-30)). Let z = u - -201/413. Let -4/7 + 6/7*s + z*s**2 = 0. Calculate s.
-2, 1/2
Factor 2/9*r**4 + 0 - 2/9*r + 2/3*r**2 - 2/3*r**3.
2*r*(r - 1)**3/9
Let s(u) be the third derivative of -u**5/60 + u**4/4 - 3*u**3/2 + u**2. Factor s(x).
-(x - 3)**2
Let f(i) = i**3 + i + 5. Let p be 0/(-1)*1/(-2). Let k be f(p). Suppose -56/5*s**k + 4/5*s**2 + 0 + 0*s + 6/5*s**3 - 54/5*s**4 = 0. Calculate s.
-1, -1/4, 0, 2/7
Let j be (-4 + 2)*-3 - -3. What is z in -2 + 4*z**2 - 2*z**4 + 4*z**3 + 0*z**3 + 7*z**5 - 2*z - j*z**5 = 0?
-1, 1
Let t be 2 + (-4)/(0 + 3 + -1). Let z(g) be the second derivative of 1/90*g**6 - g + 0*g**2 + 0 + 0*g**4 + t*g**3 - 1/60*g**5. Factor z(l).
l**3*(l - 1)/3
Suppose -2*x = -3 - 1. Let f = 5 - x. Solve 6*m**4 - m + 2*m**4 + 2*m**2 + 1 + m**f - 7*m**2 + 4*m**5 = 0 for m.
-1, 1/2
Suppose 0 = n - 0*n + 1. Let k be (2 - 4 - n)*0. Solve k - 4/3*u - 7*u**3 + 8*u**2 - 49/3*u**4 = 0.
-1, 0, 2/7
Suppose 3*l = -f - 3*f + 75, -4*f = 2*l - 78. Let q = f + -41/2. Find k, given that 1 - 3/2*k**2 - q*k = 0.
-1, 2/3
Suppose 4*k - 5*d - 6 - 16 = 0, -5*k + 5*d = -30. Factor 29*r + 12 - k*r + 15*r + 15*r**2.
3*(r + 2)*(5*r + 2)
Let a(j) be the second derivative of j**8/11200 + j**7/700 + 3*j**6/400 + j**5/50 - j**4/12 - j. Let r(x) be the third derivative of a(x). Factor r(l).
3*(l + 1)**2*(l + 4)/5
What is x in 38*x + 0 + 0 + x**2 - 35*x = 0?
-3, 0
Suppose -5*l + o + 60 = 6*o, o = 4. Let t be ((-12)/(-56))/(6/l). Factor -t + 4/7*q**2 - 2/7*q.
2*(q - 1)*(2*q + 1)/7
Let n(x) be the second derivative of x**4/27 + 13*x**3/27 + 2*x**2/3 - 8*x. Factor n(m).
2*(m + 6)*(2*m + 1)/9
Let s(v) be the third derivative of -2*v**7/105 + v**6/10 - v**5/15 - v**4/2 + 4*v**3/3 + 4*v**2. Find i, given that s(i) = 0.
-1, 1, 2
Let f(l) = -l - 2. Let q be f(-4). Suppose 2*s - 5*s + 2*s**2 + 4*s + 0*s**3 - s**3 - q = 0. What is s?
-1, 1, 2
Let b(r) be the first derivative of -3*r**4/32 + 3*r**3/8 - 3*r**2/8 - 16. Determine c, given that b(c) = 0.
0, 1, 2
Let b be (-3 - (1 + -5))*(6 + -6). Factor b - 4/9*z**2 - 2/9*z - 2/9*z**3.
-2*z*(z + 1)**2/9
Let x(l) = -5*l**2 + 4*l - 21. Let c(s) = s**2 - s + 4. Let n(b) = 33*c(b) + 6*x(b). Factor n(p).
3*(p - 2)*(p - 1)
Let y(s) be the third derivative of 49*s**5/90 - 7*s**4/9 + 4*s**3/9 + 3*s**2. What is o in y(o) = 0?
2/7
Let b(y) be the first derivative of -y**4 + 2*y**3/3 + y**2 - 4*y + 2. Let x(p) = -4*p**3 + 3*p**2 + p - 3. Let a(w) = -3*b(w) + 4*x(w). Factor a(c).
-2*c*(c - 1)*(2*c - 1)
Suppose m + 5 = -0*r + r, 