, 0, 1/4, 1
Suppose -6*u - 21 = -3*u. Let i = 11 + u. Factor -j**4 - 11*j - 5*j**4 + i*j**2 + 5*j + 4*j**3 + 2*j**5 + 2.
2*(j - 1)**4*(j + 1)
What is u in 1/2*u**2 + 0 + 1/2*u = 0?
-1, 0
Let g(r) = -r**2 + 4. Let o be g(0). Determine s, given that -o*s**2 + s**2 + s**2 - s**2 = 0.
0
Let m(f) be the second derivative of f**4/20 - f**3/5 - 12*f**2/5 - 7*f - 2. Factor m(h).
3*(h - 4)*(h + 2)/5
Let r(q) be the second derivative of -1/6*q**4 + 0*q**5 + 1/2*q**2 + 0*q**3 + 1/30*q**6 + 0 + 2*q. Factor r(b).
(b - 1)**2*(b + 1)**2
Let z(u) = u**3 - 4*u**2 + 2*u - 7. Let r be z(4). Let t be r - 2 - (-126)/90. Suppose 0 + 2/5*b**2 - 6/5*b**3 + 0*b - t*b**5 + 6/5*b**4 = 0. Calculate b.
0, 1
Suppose -3*u + 4 = -2. Suppose 6 = c + 4. Determine s so that 0*s**c + 0*s**u - s**2 = 0.
0
Let n(k) = k**2 + 8*k. Let o be n(-8). Determine y so that -3*y**3 + 3*y**2 + 3 - 3 + 3*y - 3 + o*y = 0.
-1, 1
Let k(j) = j. Let i be k(-8). Let d = -2 - i. Factor 4*m**5 + m**5 - d*m**5 + 4*m**5.
3*m**5
Suppose 6*t = -4*z + t - 3, 0 = -2*z - 5*t + 1. Let o be 3 + (-5)/(-10)*z. Factor 1/4*h**4 - 1/2*h**3 + 0 + 0*h + 1/4*h**o.
h**2*(h - 1)**2/4
Let f = -9 - -11. Let g(y) be the third derivative of 1/60*y**5 + 0 - 1/6*y**3 + 1/8*y**4 + 0*y - 2*y**f - 1/40*y**6. Factor g(s).
-(s - 1)*(s + 1)*(3*s - 1)
Factor -1/3*f + 0 - 2/3*f**2 - 1/3*f**3.
-f*(f + 1)**2/3
Let n(s) be the first derivative of s**6/40 - s**5/60 - s**4/9 + 2*s**3/9 + s**2/2 - 10. Let x(h) be the second derivative of n(h). Factor x(r).
(r + 1)*(3*r - 2)**2/3
Let y(t) = -17*t**2 + 10*t**2 + 8*t**2. Let o(k) = -k**2 - k + 1. Let a(l) = 4*o(l) + 5*y(l). Factor a(j).
(j - 2)**2
Factor 2/11*r**4 - 2/11*r**3 - 2/11*r**2 + 0*r + 0 + 2/11*r**5.
2*r**2*(r - 1)*(r + 1)**2/11
Factor 5*a - 3*a - 4*a**4 - 115*a**2 - 2*a**5 + 119*a**2.
-2*a*(a - 1)*(a + 1)**3
Let h be ((-3)/(-2) - (-2)/4)/13. Let 6/13*i**2 - h*i**3 + 4/13*i - 6/13*i**4 - 2/13*i**5 + 0 = 0. Calculate i.
-2, -1, 0, 1
Let l(m) = m**3 + m**2 - m - 1. Let v(k) = 2*k**3 - 26*k**2 - 90*k - 78. Let d(u) = -6*l(u) + v(u). Factor d(x).
-4*(x + 2)*(x + 3)**2
Let c be (4 + 34/(-8))/(-1). Find k, given that 1/2*k**2 - c*k**3 - 1/4*k + 0 = 0.
0, 1
Let m(v) be the second derivative of -v**4/42 + 2*v**3/7 - 9*v**2/7 - 6*v. Determine q so that m(q) = 0.
3
Let h(f) = f**4 + 12*f**3 + 6*f**2 - 30*f + 7. Let l(p) = -p**4 - 23*p**3 - 13*p**2 + 60*p - 13. Let b(q) = -10*h(q) - 4*l(q). Determine t so that b(t) = 0.
-3, 1/3, 1
Let s(m) be the third derivative of -3*m**7/35 + m**6/10 + m**5/6 - m**4/6 - m**2. Let s(w) = 0. What is w?
-2/3, 0, 1/3, 1
Let l(s) be the second derivative of -s**7/231 + s**6/165 + 3*s**5/110 - s**4/66 - 2*s**3/33 - 9*s. Solve l(a) = 0 for a.
-1, 0, 1, 2
Let q be (-9)/(-6) - (-21)/(-14). Factor 10/3*d**3 - 5/3*d + q*d**2 + d**5 + 10/3*d**4 - 2/3.
(d + 1)**4*(3*d - 2)/3
Let v(w) be the first derivative of -3*w**5/5 + 3*w**4/4 + 2*w**3 + 9. Suppose v(l) = 0. What is l?
-1, 0, 2
What is j in 0*j - 3/5*j**2 + 27/5 = 0?
-3, 3
Let v be 5/3 + (-76)/60. Solve 8/5*t**2 - v*t**3 - 8/5*t + 0 = 0.
0, 2
Suppose 0 = 3*o - 0*o - 9. Suppose 0 = -q + 2*c + 4, 5*q - 85 = -0*q - o*c. Find w such that q*w**4 + 2*w - 4*w**5 - 9*w**3 - w**2 - w**5 - w**4 = 0.
-2/5, 0, 1
Let z be ((-210)/28)/(-9 - (2 - -1)). Factor -5/8*q + 1/4 - 1/4*q**2 + z*q**3.
(q - 1)*(q + 1)*(5*q - 2)/8
Let r(f) = f**2 + 2*f - 1. Let p be r(-3). Let u = 1/154 - -3/22. Let 0 + 2*w**4 + 5/7*w**5 + 2/7*w**p + 12/7*w**3 - u*w = 0. Calculate w.
-1, 0, 1/5
Let w = -2 + 0. Let l be (-8)/28 + w/(-7). Factor 4/9*a + l - 2/9*a**2.
-2*a*(a - 2)/9
Suppose -4*q = -2*f + 7*f - 7, 3*f + 4*q - 1 = 0. Let 0 + 0*x**2 + 0*x + 1/3*x**f = 0. Calculate x.
0
Let f(q) be the second derivative of 1/180*q**5 + 0 + 0*q**4 - q**2 + q - 1/360*q**6 + 0*q**3. Let z(k) be the first derivative of f(k). Factor z(m).
-m**2*(m - 1)/3
Let 512*b - 196*b**5 + 64 + 430*b**3 + 102*b**3 + 1216*b**2 + 124*b**3 - 308*b**4 = 0. What is b?
-2, -1, -2/7, 2
Solve 28 - 3*b**2 - 28 + 8*b**2 = 0.
0
Let w be (1/2)/(1/4). Suppose 2 = 2*k, -4*h = k + 1 - 10. Factor x**4 - 2*x**5 - x**h + x**5 + 3*x**3 - w*x**3.
-x**2*(x - 1)**2*(x + 1)
Let l(i) be the third derivative of 1/12*i**4 + 3*i**2 + 0 + 0*i + 0*i**3 + 1/30*i**5. Suppose l(b) = 0. What is b?
-1, 0
Let u be 4/(-8)*(-2 - -2). Let v(z) be the second derivative of 0 + 1/6*z**4 - 2*z + u*z**3 - 1/10*z**5 + 0*z**2. Factor v(n).
-2*n**2*(n - 1)
Factor 64/11 + 15520/11*a**2 - 1696/11*a - 9826/11*a**5 + 42772/11*a**4 - 53584/11*a**3.
-2*(a - 2)**2*(17*a - 2)**3/11
Let u(o) = o**3 - o**2 + 4*o - 1. Let n be u(4). Let x = n - 187/3. Factor -2/3*g**3 + 1/3 + x*g - 1/3*g**4 + 0*g**2.
-(g - 1)*(g + 1)**3/3
Let g(x) be the third derivative of x**9/5040 + 5*x**4/12 - 9*x**2. Let d(q) be the second derivative of g(q). Solve d(t) = 0 for t.
0
Let g be (-1)/(36/(-5) - -7). Factor 0*c**3 + 1/4*c**g + 1/2*c**4 - 1/2*c**2 + 0 - 1/4*c.
c*(c - 1)*(c + 1)**3/4
Find p such that 2/7*p**4 + 2/7*p**5 - 2/7*p**2 - 2/7*p**3 + 0*p + 0 = 0.
-1, 0, 1
Let k(v) be the first derivative of v**6/6 + v**5/5 - 3*v**4/4 - v**3/3 + v**2 - 8. Factor k(p).
p*(p - 1)**2*(p + 1)*(p + 2)
Let f(b) be the second derivative of -1/6*b**3 + 0*b**2 + 0*b**4 + 1/14*b**7 + 0 - 4/15*b**6 + 2*b + 3/10*b**5. Let f(t) = 0. What is t?
-1/3, 0, 1
Suppose 5*m - 30 = 5*i, -5*m + 2*i - 5*i + 22 = 0. Let s(j) be the first derivative of 0*j**4 + 0*j + 1 + 0*j**2 + 2/5*j**m + 0*j**3. Solve s(r) = 0.
0
Let v(i) be the third derivative of i**6/40 - i**5/5 + 5*i**4/8 - i**3 - 26*i**2. Factor v(r).
3*(r - 2)*(r - 1)**2
Let x(k) = 3*k + 8. Let d be x(-2). Let n(c) be the first derivative of 1 + c**d + c + 1/3*c**3. Find i such that n(i) = 0.
-1
Suppose 2*r = 4*v - 16, 4*v - 10 = 5*r + 6. Let p be 4/(-1)*(-2)/v. Find b, given that -p*b**2 - b + 4 + 2*b**3 - 2 - b = 0.
-1, 1
Let u = 9 - 6. Let q(t) = -2*t**3 + 11*t**2 - 5*t - 11. Let k(s) = -s**3 + 5*s**2 - 2*s - 5. Let g(l) = u*q(l) - 7*k(l). Factor g(r).
(r - 2)*(r - 1)*(r + 1)
Suppose -4*r = -2*r - 3*w - 12, -5*w - 20 = 0. Determine q so that 1/4*q**4 + 0*q + 0*q**3 + r*q**2 + 0 = 0.
0
Let b(r) = -11 + 9*r - 4 + 5 - r**2. Let u be b(7). Factor 0*p**2 + 0 - 2/9*p**u + 0*p + 2/9*p**3.
-2*p**3*(p - 1)/9
Factor -3*t**2 - 649 + 0*t**2 + 676.
-3*(t - 3)*(t + 3)
Let m(b) = b**3 - 2*b + 3. Let y be m(4). Factor j - 71 + 23*j + 15*j**2 + y.
3*(j + 2)*(5*j - 2)
Let f = 1 + 1. Factor -2*a**2 - 4 - f*a**5 - 7 - 6*a**3 + 11 - 6*a**4.
-2*a**2*(a + 1)**3
Let f = -6211/7 - -889. Suppose -f*j**3 + 4/7 + 10/7*j - 2/7*j**2 = 0. What is j?
-2/3, -1/2, 1
Let y(n) be the third derivative of -n**8/6720 + n**7/2520 - n**4/4 + 6*n**2. Let l(t) be the second derivative of y(t). Factor l(z).
-z**2*(z - 1)
Factor -24*k**2 - 9*k**3 + 0*k**3 - 20*k - 6 - 2*k**4 - 4*k**3 + k**3.
-2*(k + 1)**3*(k + 3)
Factor -9*z**2 + 3*z**2 + 2*z + 2*z**3 + 2*z**4 + 4 - 4*z**3.
2*(z - 2)*(z - 1)*(z + 1)**2
Let n = -11 - -18. Let b = 9 - n. Find y, given that -2/5*y**3 + 0*y**b + 0 + 2/5*y = 0.
-1, 0, 1
Let c(x) = 4*x**3 + 8*x**2 + 6*x. Let b be -3 - -1 - (-1 + 1). Let g(u) = -13*u**3 - 25*u**2 - 19*u. Let l(o) = b*g(o) - 7*c(o). Factor l(d).
-2*d*(d + 1)*(d + 2)
Let f = -20 + 24. Suppose -f*v + i + 1 = 0, 5*v = -3*i - 4 + 1. Factor 1/2*c**2 + 1/2*c**4 + v*c + 0 - c**3.
c**2*(c - 1)**2/2
Factor -75*c**3 - 5*c**4 + 4*c**2 - 625*c + 27*c**2 - 406*c**2.
-5*c*(c + 5)**3
Let c(w) = -8*w**3 + 6*w**2 + 2*w + 3. Let d(u) = 5*u**3 - 6*u - 18*u**2 + 19*u**3 + 3 - 11. Let q(m) = -8*c(m) - 3*d(m). Determine f so that q(f) = 0.
-1/4, 0, 1
Suppose -2*z - 2*z = -5*p - 28, 0 = -2*z + 3*p + 16. Factor -6*l**2 + 6 + 2*l**2 + z*l**2 + 4*l.
-2*(l - 3)*(l + 1)
Let c(f) = -11*f**5 - f**4 + 15*f**3 + f**2 - 16*f - 6. Let l(s) = 32*s**5 + 2*s**4 - 45*s**3 - 2*s**2 + 47*s + 17. Let j(r) = 17*c(r) + 6*l(r). Factor j(d).
5*d*(d - 2)*(d - 1)*(d + 1)**2
Let l(p) be the third derivative of p**8/6720 - p**7/1680 - p**6/120 - p**5/30 - 3*p**2. Let i(j) be the third derivative of l(j). Find a such that i(a) = 0.
-1, 2
Find d, given that 2*d**5 - 4*d**3 + 2*d + 17 - 17 = 0.
-1, 0, 1
Let p = 305/3 - 101. Factor 2*l**3 + 0*l**2 + 0 - 8/3*l + p*l**4.
2*l*(l - 1)*(l + 2)**2/3
Suppose -2*i - 1 = -7. Let v(z) = -z**3 + 4*z**2 - 2*z. Let k be v(i). Factor 7/4*m**k + 1/2*m + 0 - 9/4*m**2.
m*(m - 1)*(7*m - 2)/4
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