- 7/15*l**3 + 0 + 5*l + 1/50*l**5 - 4/5*l**2. Factor h(i).
2*(i - 4)*(i + 1)**2/5
Let v = 12 - 8. Suppose 1 + 14*q**3 + 2*q**v + q**5 - 5*q**2 + 2*q**5 - q**2 - 13*q**4 - q = 0. What is q?
-1/3, 1
Let t(n) = -n - 1. Let h(c) = c**3 + 2*c**2 - 4*c - 4. Let v(x) = -5*h(x) + 20*t(x). What is w in v(w) = 0?
-2, 0
Solve -2/9 + 2/3*h - 2/9*h**5 - 4/9*h**3 - 4/9*h**2 + 2/3*h**4 = 0 for h.
-1, 1
Let o = -36 + 39. What is b in -5/4*b + 1/2 + b**2 - 1/4*b**o = 0?
1, 2
Let i(y) be the first derivative of y**4/30 - 2*y**3/15 + y**2/5 - 6*y - 1. Let t(v) be the first derivative of i(v). Factor t(l).
2*(l - 1)**2/5
Let y = 28 + -28. Let n(w) be the third derivative of -2*w**2 + 1/60*w**5 + 0 + 2/3*w**3 + 1/6*w**4 + y*w. Factor n(b).
(b + 2)**2
Let i(l) be the third derivative of -1/480*l**6 + 1/96*l**4 + 0*l - 1/24*l**3 + 4*l**2 + 1/240*l**5 + 0. Solve i(h) = 0 for h.
-1, 1
Factor 0 + h**3 + 0*h - 4/5*h**4 - 1/5*h**2.
-h**2*(h - 1)*(4*h - 1)/5
Let o = -100/9 - -518/45. Let b be 32/30 - (-2)/(-3). Find w such that 2/5*w - o*w**2 - b*w**3 + 0 + 2/5*w**4 = 0.
-1, 0, 1
Suppose 0 + 2/5*k**3 + 0*k**2 - 8/5*k = 0. What is k?
-2, 0, 2
Let w be (21/(-12) - (-9)/6)*-2. Find m, given that 0 - 1/2*m**4 + w*m**3 - 1/2*m + 1/2*m**2 = 0.
-1, 0, 1
Factor 5/9*x**2 - 7/9*x + 1/3 - 1/9*x**3.
-(x - 3)*(x - 1)**2/9
What is x in -38*x + 68*x**3 + 58*x**3 + 8 + 2*x - 8*x**2 - 90*x**3 = 0?
-1, 2/9, 1
Let 4*c**4 - 9 + 11*c**2 - 16*c**3 + c**2 + 0*c**4 - 7 + 16*c = 0. What is c?
-1, 1, 2
Let j(n) be the second derivative of 0 + 2*n**2 - 7*n + 1/2*n**4 - 1/15*n**6 + 5/3*n**3 - 1/10*n**5. Factor j(v).
-2*(v - 2)*(v + 1)**3
Suppose q + 2*t + 2 = 0, -2*t + 0*t = -q + 18. Solve 0*i + 0*i**2 + 8*i**2 - q*i**4 + 21*i**5 + 2*i - 25*i**3 + 2*i = 0.
-1, -2/7, 0, 2/3, 1
Let a be ((4/(-3))/(-4))/1. Factor a*z + 0*z**2 + 0 - 1/3*z**3.
-z*(z - 1)*(z + 1)/3
Let d(q) be the first derivative of 3*q + 6 + 2*q**3 + 15/4*q**2 + 3/8*q**4. Let d(z) = 0. Calculate z.
-2, -1
Let i(o) = 2*o**3 + 3*o**2 - 3*o + 1. Let j be i(1). Suppose -2*f**5 - 2*f**4 + 3/2*f**j + 1/2*f + 0 + 2*f**2 = 0. What is f?
-1, -1/2, 0, 1
Let r = -10 - -8. Let o be -4*(-1)/(-4)*r. Determine u so that -2/3 - 1/3*u + 1/3*u**o = 0.
-1, 2
Suppose -5*h - 3*j = -37, -5*h = -0*h + 2*j - 33. Factor 1/6 - 1/3*x**3 - 1/3*x**2 + 1/6*x + 1/6*x**4 + 1/6*x**h.
(x - 1)**2*(x + 1)**3/6
Let q be (8/4 - 0) + 12. Determine s, given that 7*s**2 - 4*s**2 - q*s + 38 - 11 - 4*s = 0.
3
Let i = 121/12 + -10. Let b(c) be the second derivative of -3*c + 0 + i*c**4 + 1/6*c**3 + 0*c**2. Factor b(y).
y*(y + 1)
Let q = -73 - -73. Let a be (-1)/(-4) - (-5)/(-20). Factor 2/7*m**4 + 0*m**2 + 0 + a*m + 2/7*m**5 + q*m**3.
2*m**4*(m + 1)/7
Let r be 12/18 + (-62)/120. Let j = 13/20 - r. Solve j*f**2 + 0 + 3/2*f**4 - 1/2*f**5 + 0*f - 3/2*f**3 = 0.
0, 1
Let n be 2/8 - (10 - (-492)/(-48)). Solve 0*i + 0 + n*i**3 - i**2 = 0.
0, 2
Let w(c) = -c**2 - 2*c - 1. Let j(n) = -n - 1. Let v(y) = -3*j(y) + w(y). Solve v(l) = 0 for l.
-1, 2
Let w = 18 + -10. Suppose -3*r + w + 0 = -4*y, 5*r = -5*y + 60. Factor -r*j**3 + 2*j + 8*j**3 - 2*j**5 + 4*j**4 - 4*j**2.
-2*j*(j - 1)**3*(j + 1)
Let w(k) be the second derivative of -k**4/4 + 3*k**2/2 + 6*k. Factor w(d).
-3*(d - 1)*(d + 1)
Let g = -9/52 - -375/364. Let k(d) be the first derivative of 3 - 15/14*d**4 - 2/7*d**2 + 0*d - 22/35*d**5 - 1/7*d**6 - g*d**3. Factor k(l).
-2*l*(l + 1)**3*(3*l + 2)/7
Let z(o) be the first derivative of -o**3 - 9*o**2 - 27*o - 9. Factor z(a).
-3*(a + 3)**2
Let i be ((-1)/1 - -3) + 0. Suppose -q - 5*c + 3 = 0, 2*c - 12 = -i*q - 2*c. Find g such that 2*g + 2*g**4 + 6*g**2 + 4*g**2 - 6*g - q*g**3 + 0*g = 0.
0, 1, 2
Let c = 561 + -559. Factor -2/13*t**4 - 18/13 - 8/13*t**3 + 4/13*t**c + 24/13*t.
-2*(t - 1)**2*(t + 3)**2/13
Suppose 2/11*c + 4/11 - 2/11*c**2 = 0. What is c?
-1, 2
Factor -1/2 - 1/4*w + 1/4*w**2.
(w - 2)*(w + 1)/4
Let c(s) = s. Let p(l) = -2*l**2 - 7*l - 8. Suppose 5*d - 1 = 4. Let f(y) = d*c(y) - p(y). Let f(w) = 0. What is w?
-2
Let t(z) be the third derivative of z**8/420 - 2*z**7/525 - z**6/150 + z**5/75 - z**2. Factor t(f).
4*f**2*(f - 1)**2*(f + 1)/5
Let b = -204578550201/170026531655 - -2/109341821. Let p = -1/311 - b. Factor 2/5 + 4/5*z**2 + p*z.
2*(z + 1)*(2*z + 1)/5
Suppose 30 = 5*c - p + 5, -2*c + 13 = -p. Factor 4*q**2 + 2*q - q**2 + 2*q**2 - 3*q**2 - c.
2*(q - 1)*(q + 2)
Let a = -2 + 2. Suppose a = -2*v - 3 + 7. Suppose -2*i**2 + 2*i**2 + 2*i**v + 2*i**3 = 0. What is i?
-1, 0
Suppose 0 = -5*j + 3*j. Let t(u) = 3*u - 3. Let l be t(5). Suppose -3*r**3 + 3*r**2 - l*r**3 + 5*r**4 + 4*r**4 + 3*r + j*r = 0. What is r?
-1/3, 0, 1
Let b = -2 - -2. Let g be 4*(3 + -2 + b). Factor -g*n**2 + 2*n**2 - 2*n + 1 + 3.
-2*(n - 1)*(n + 2)
Find u, given that 8/3*u + 4*u**2 + 2/3 + 8/3*u**3 + 2/3*u**4 = 0.
-1
Let z(c) be the first derivative of -c**6/4 + 6*c**5/5 - 9*c**4/8 + 32. Factor z(p).
-3*p**3*(p - 3)*(p - 1)/2
Let f(l) = -l + 2. Let s(p) = -4*p + 6. Let a(u) = 7*f(u) - 2*s(u). Let d be a(0). Let 1/2*b**5 - d*b**2 - 2*b**4 + 0 + 1/2*b + 3*b**3 = 0. What is b?
0, 1
Suppose -y - 37 = 4*a, -2*a - 18 = -5*y + 17. Let n be a/(-65) - (-24)/13. Solve 2/3*h + 2/3 - 2/3*h**n - 2/3*h**3 = 0 for h.
-1, 1
Let z(o) be the first derivative of o**3 + 3*o**2 - 10. What is y in z(y) = 0?
-2, 0
What is j in 40 + 10*j**2 - 11*j**2 + 6*j**2 - 45*j = 0?
1, 8
Suppose 1 = -n, -2*q + 1 = -3*q - 3*n. Let x(o) be the first derivative of -1/15*o**5 + 1/6*o**q - 1 + 2/9*o**3 - 1/3*o - 1/6*o**4 + 1/18*o**6. Factor x(v).
(v - 1)**3*(v + 1)**2/3
Let g = 10 - 10. Suppose 2*i = -5*h - 2*i + 26, 3*i - 12 = g. Find j, given that 8*j**h - j + 0 + 49/4*j**4 - 77/4*j**3 = 0.
0, 2/7, 1
Let x(b) = 5*b**2 - 4*b + 6. Let f be 2 + 18 - (3 + 0). Let o(t) = 14*t**2 - 11*t + 17. Let d(n) = f*x(n) - 6*o(n). Factor d(m).
m*(m - 2)
Let u be 38/(-3) - 4/4. Let d = u + 14. Solve 0 - 1/3*r**3 - 1/3*r**4 + d*r**2 + 1/3*r = 0.
-1, 0, 1
Let m(r) be the third derivative of r**9/7560 + r**8/840 + r**7/210 + r**6/90 + r**5/60 + r**4/8 - r**2. Let n(j) be the second derivative of m(j). Factor n(p).
2*(p + 1)**4
Let b = 27 - -2. Let u be (-13 + b)*(-1)/(-6). Factor 18*c**2 + u + 12*c + 9*c**3.
(3*c + 2)**3/3
Let j(v) be the first derivative of -3*v**5 - 25*v**4/2 - 5*v**3 + 40. Factor j(f).
-5*f**2*(f + 3)*(3*f + 1)
Let n(m) be the first derivative of -m**5/80 - m**4/48 + m**3/24 + m**2/8 - m - 1. Let c(y) be the first derivative of n(y). Let c(z) = 0. What is z?
-1, 1
Let s(f) be the third derivative of -f**5/60 + f**4/12 + f**3/2 - 4*f**2. Factor s(g).
-(g - 3)*(g + 1)
Let d(l) = -2*l**3 - 2*l**2 + 12*l. Let p(w) = 2*w**3 + 2*w**2 - 12*w. Let t(n) = -4*d(n) - 5*p(n). Factor t(s).
-2*s*(s - 2)*(s + 3)
Let l be (-4)/((-8)/10) - 1. Let m(n) be the second derivative of 0*n**2 + 0*n**3 + 0 - 1/18*n**l - n. Factor m(f).
-2*f**2/3
Let o(k) = 2*k**3 - 3*k**2 - k + 2. Let x be o(0). Let -f**4 + 0 + 1/4*f**5 + 5/4*f**3 - 1/2*f**x + 0*f = 0. Calculate f.
0, 1, 2
Let q(i) = -i**2 + i - 1. Let a(x) = 2*x**2 - 14*x - 1. Let g(n) = a(n) + 5*q(n). Factor g(u).
-3*(u + 1)*(u + 2)
Let y be (-4)/(-8) + 14/4. Factor 0*a**4 + 2*a**4 + a**3 - a**y.
a**3*(a + 1)
Let q(b) be the first derivative of -b**3/9 - 7*b**2/3 - 49*b/3 + 10. Determine r so that q(r) = 0.
-7
Let c(s) be the second derivative of -4/5*s**5 - 2/15*s**6 + 0 - s**4 + 8*s**2 - s + 8/3*s**3. Factor c(l).
-4*(l - 1)*(l + 1)*(l + 2)**2
Let o(y) be the third derivative of -3*y**8/32 + 19*y**7/35 - 67*y**6/240 - 97*y**5/60 + 35*y**4/12 - 2*y**3 - 6*y**2. Suppose o(c) = 0. Calculate c.
-1, 2/7, 2/3, 3
Let f(w) = 5*w**2 - 2*w - 2. Let l(i) = -i - 1. Let o(r) = -f(r) + 2*l(r). Find k, given that o(k) = 0.
0
Solve d**3 - 16 - 12*d**2 - 3*d**3 - 28*d - 4*d + 8*d = 0.
-2
Let r(l) = 2*l**2 - 7*l + 14. Let z(s) = -s**2 + 4*s - 7. Let i(g) = 6*r(g) + 13*z(g). Let c be i(9). Factor -c*b**3 + 2/3*b**4 + 4/3*b**2 + 0 + 0*b.
2*b**2*(b - 2)*(b - 1)/3
Let z(k) be the second derivative of -7*k**6/10 + 9*k**5/5 + 25*k**4/4 + 3*k**3 - 10*k + 4. Suppose z(j) = 0. Calculate j.
-1, -2/7, 0, 3
Find h such that h**2 - 4*h**2 - 13*h + 10*h = 0.
-1, 0
Let x(k) = k + 2. Let g be x(0). Let c(a) = 3*a. Let p be c(1). Factor -y**3 + 3 + 4*y**2 - p - g*y - y**3.
-2*y*(y - 1)**2
Let n(k) be the third derivative of 2*k**7/735 + k**6/120 - k**5/2