 of y(u). Factor a(c).
-3*(c - 1)*(c + 1)
Find b, given that -38/11*b + 0 + 2/11*b**3 + 36/11*b**2 = 0.
-19, 0, 1
Let y = -843 + 847. Let n(a) be the first derivative of 4/5*a - 5 - 1/5*a**2 + 2/25*a**5 + 1/10*a**y - 2/5*a**3. Factor n(h).
2*(h - 1)**2*(h + 1)*(h + 2)/5
Let c be ((-48)/18)/((-2)/12). Let n(v) = 2*v - 32. Let y be n(c). Factor y + 1/4*x**5 + 1/4*x + 0*x**2 - 1/2*x**3 + 0*x**4.
x*(x - 1)**2*(x + 1)**2/4
Let k = -38 + -4. Let u be 14/k*(-42)/10. What is x in 1/5*x**3 - x**2 + u*x - 3/5 = 0?
1, 3
Let m be 66/15 - (-4)/(-10). Suppose -m*c + c + 9 = 0. What is a in -a - 2*a**2 + 0*a**2 + 4*a**c - 3*a**3 + 2 = 0?
-1, 1, 2
Let c be (-23)/(-6) - 5/(-30). Let l(v) = -v**2 + 4*v + 2. Let b be l(c). Factor 5*k**2 - 6 - b*k**2 - 4*k - 6*k**2 - 5*k.
-3*(k + 1)*(k + 2)
Suppose -30*k + 44 + 61 = -15. Factor 2/5*l**k + 0*l**3 + 0 + 0*l + 0*l**2 - 2/5*l**5.
-2*l**4*(l - 1)/5
Let h(g) be the first derivative of -7*g**5/20 + 19*g**4/32 + 13*g**3/12 - g**2 + 505. Solve h(p) = 0 for p.
-8/7, 0, 1/2, 2
Let l(b) = -25*b**5 - 1278*b**4 - 20992*b**3 - 8192*b**2 - 5*b + 10. Let z(q) = q**5 - 2*q**4 + q - 2. Let g(u) = l(u) + 5*z(u). What is v in g(v) = 0?
-32, -2/5, 0
Let x be (-2)/14 + 30/14. Let a be (-46)/(-3) + 2/(-6). Determine v, given that -15*v**2 + a*v**2 - x*v**3 = 0.
0
Suppose 16 = 3*l + 4. Determine s so that -l*s**2 + 15 - 5 - s**2 - 5*s = 0.
-2, 1
Factor -76*r + 45 - 37 + 94 + 27 + 7 + 4*r**2.
4*(r - 17)*(r - 2)
Let s = -73/3 - -520/21. Suppose -45*f = -4*m - 40*f + 18, 3*m = 2*f + 10. Determine q so that 3/7*q - 3/7*q**3 + s*q**4 + 0 - 3/7*q**m = 0.
-1, 0, 1
Let r be 2 + 2/(-1) - (-464)/1044. Let r*b**2 - 2/9*b**5 - 10/9*b - 2/3 + 2/9*b**4 + 4/3*b**3 = 0. Calculate b.
-1, 1, 3
Let r(a) be the first derivative of -a**6/6 + 4*a**5/5 - 3*a**4/4 + 59. Suppose r(p) = 0. What is p?
0, 1, 3
Let d be 0/(1*(4 - 7 - -2)). Suppose d = 6*z + 3*z - 5*z. Find v such that -6/5*v + 2/5*v**2 + z = 0.
0, 3
Find l such that 3*l + 1/3*l**3 + 0 - 2*l**2 = 0.
0, 3
Let s = -12 + 14. Factor s*o**3 - 5*o**2 + 3*o**3 + 0*o**3.
5*o**2*(o - 1)
Let q(w) be the first derivative of -1/3*w**2 - 2/9*w**3 - 11 + 4/3*w. Find n such that q(n) = 0.
-2, 1
Let q(v) be the first derivative of 9/2*v + 9/16*v**4 + 3/10*v**5 + 30 - 3/2*v**3 - 15/8*v**2. Find f, given that q(f) = 0.
-2, -3/2, 1
Let j(t) be the first derivative of -10*t**3 - 55*t**2/2 + 10*t - 12. Solve j(f) = 0.
-2, 1/6
Let x(r) be the second derivative of r**4/42 - r**3/7 - 10*r**2/7 - 23*r. Determine u so that x(u) = 0.
-2, 5
Suppose c - 1 + 4 = -x, -5*c = 4*x + 15. Let r(v) be the first derivative of 0*v**3 + x*v + 1/4*v**4 + 1/10*v**5 + 0*v**2 - 5. Find p such that r(p) = 0.
-2, 0
Let o(y) be the second derivative of -y**6/10 + 7*y**5/20 - y**4/4 - y**3/2 + y**2 + 24*y - 6. Factor o(x).
-(x - 1)**3*(3*x + 2)
Suppose 1 = -q - 3*n - 0*n, 5*n - 1 = -3*q. Let u be (6/(-15))/((-1)/5). Determine c, given that -2*c**q + 0*c**u - 4*c + 0*c = 0.
-2, 0
Let a be -2 + 1 + ((-8)/(-4) - -9). Let k be 4/a*120/84. Factor 0*d + 0*d**2 - k*d**3 - 8/7*d**4 + 0 - 4/7*d**5.
-4*d**3*(d + 1)**2/7
Let w be (-2)/(-5) - (58140/175)/2. Let j = w + 166. Suppose 2/7*i**2 + j + 4/7*i = 0. What is i?
-1
Solve 0*c - 6*c - 39*c**2 + 11*c**2 + 2*c**3 - 5*c**3 + 19*c**2 = 0.
-2, -1, 0
Let b(r) be the third derivative of -r**7/42 + r**6/12 - r**5/12 - 33*r**2. Suppose b(g) = 0. What is g?
0, 1
Find s such that -14*s**4 + 2*s**4 + 193*s**3 - 4*s**5 - 161*s**3 + 5*s**4 - 13*s**4 + 48*s**2 = 0.
-6, -1, 0, 2
Let y = 19 - 16. Suppose 19 - 10*k**y - 4*k**3 - 19 + 12*k**2 = 0. What is k?
0, 6/7
Let q be 168/216 + 2/9. Factor -w**3 - 1/4*w**4 + q + w - 3/4*w**2.
-(w - 1)*(w + 1)*(w + 2)**2/4
Factor -3/4*c**3 + 117/4*c**2 + 0 + 0*c.
-3*c**2*(c - 39)/4
Let 11/3 + 194/9*p**2 + 29/9*p**4 + 1/9*p**5 - 131/9*p - 14*p**3 = 0. Calculate p.
-33, 1
Determine y, given that -3/2*y**3 + 0 - 9/4*y - 3/8*y**4 + 33/8*y**2 = 0.
-6, 0, 1
Let c be (-1 - 0) + (7 - 2). Suppose -h - 47 = -4*a - 0*a, c*h = 4*a - 56. Suppose 2 + 4*g + 14*g**2 - a*g**2 - 1 - g + g**3 = 0. Calculate g.
-1
Let f = -3878 - -27236/7. Solve -66/7*i**4 - f*i**3 + 12/7*i + 0 + 78/7*i**5 + 66/7*i**2 = 0 for i.
-1, -2/13, 0, 1
Let q be (0 - 2)*1*378/(-1890). Determine c, given that 8/5*c + 0 - q*c**2 = 0.
0, 4
Let y(l) = -4*l**2 - 25*l + 7. Let a(n) = -2*n**2 - 11*n + 3. Let u(r) = -14*a(r) + 6*y(r). Factor u(t).
4*t*(t + 1)
Let z be 1*(36/(-28) - -2). Suppose 18*m + 19 - 55 = 0. Solve -z*g**4 + 0 - 2/7*g**3 + 5/7*g**m + 2/7*g = 0.
-1, -2/5, 0, 1
Let k(y) = 2*y**4 - 13*y**3 + 5*y**2 - 8*y - 7. Let a(v) = -v**4 + 7*v**3 - 3*v**2 + 5*v + 4. Let h(q) = 7*a(q) + 4*k(q). Factor h(r).
r*(r - 3)*(r - 1)*(r + 1)
What is h in -4*h + h**3 - 2 + 1/2*h**4 - 3/2*h**2 = 0?
-2, -1, 2
Let n(w) be the second derivative of -25/6*w**3 - 1/4*w**5 + 0 + 5*w**2 + 3*w + 5/3*w**4. Determine v so that n(v) = 0.
1, 2
Suppose -35 - 30 = -5*v - 3*w, -3*w + 45 = 3*v. Let 3*j + 3*j**2 + 4 - 3*j**3 + 0*j**3 - v + 3*j**2 = 0. What is j?
-1, 1, 2
Let f(t) be the second derivative of -t**7/21 - 2*t**6/15 + 4*t**5/5 - t**4/3 - 7*t**3/3 + 4*t**2 + 3*t + 9. Solve f(k) = 0 for k.
-4, -1, 1
Let i(g) = -6*g - 1. Let r(n) = -n. Let l(x) = -i(x) + 5*r(x). Let s(v) = -2*v**3 + 6*v**2 + 2*v + 10. Let h(z) = 8*l(z) - s(z). Let h(m) = 0. Calculate m.
1
Suppose -4*p - 43 = -27, u - 8 = -p. Let t(c) be the first derivative of 2/5*c**5 + 8*c + u*c**2 + 3*c**4 + 1 + 26/3*c**3. Find n such that t(n) = 0.
-2, -1
Factor 0*d - 2/5*d**4 + 0*d**2 + 0*d**3 + 0.
-2*d**4/5
Let j(f) be the second derivative of -2*f**7/21 - 8*f**6/15 + 2*f**5/5 + 8*f**4/3 - 2*f**3/3 - 8*f**2 + 8*f. Suppose j(q) = 0. What is q?
-4, -1, 1
Let s(u) be the first derivative of -2*u**3/15 - 3*u**2/5 + 8*u/5 + 248. Find o, given that s(o) = 0.
-4, 1
Let j(m) = -m**3 + 15*m**2 - 36*m + 2. Let k be j(3). Solve 0 - 2/5*l**3 - 2/5*l - 4/5*l**k = 0 for l.
-1, 0
Let d be (-40600)/(-215586) - (-4)/118. Factor 0 - d*n**4 - 8*n**2 + 0*n + 8/3*n**3.
-2*n**2*(n - 6)**2/9
Let p = -5781/2 + 2892. Find t such that 1/6*t**2 + t + p = 0.
-3
Let o = 99 - 95. Let k(m) be the second derivative of 0*m**3 - 4*m + 0 + 4/15*m**6 + 11/40*m**5 + 1/12*m**7 + 0*m**2 + 1/12*m**o. Suppose k(b) = 0. What is b?
-1, -2/7, 0
Let p(y) = y**5 - y**4 + y**2 - 2*y + 1. Let z(o) = 4*o**5 - 24*o**4 - 216*o**3 - 606*o**2 - 708*o - 286. Let f(a) = -2*p(a) + z(a). Factor f(k).
2*(k - 18)*(k + 1)*(k + 2)**3
Factor -4*a**2 - 4/3*a**3 + 0 - 8/3*a.
-4*a*(a + 1)*(a + 2)/3
Let a(o) = o**3 - 2 - 6*o**2 - 2 + 2*o + 3*o**2 + 6. Let w be a(2). Factor 3*v**4 - v**w + 3*v - 9*v**3 - 3*v + 7*v**2.
3*v**2*(v - 2)*(v - 1)
Let g = -1385 + 1387. Suppose 21/2*k - 15/2*k**g + 3/2*k**3 - 9/2 = 0. Calculate k.
1, 3
Let q be 6/(-15) + 0 + 19311/(-35). Let u = 553 + q. Factor -u*i**4 + 4/7*i**3 + 0 + 0*i + 2/7*i**5 + 0*i**2.
2*i**3*(i - 2)*(i - 1)/7
Let g be 11/(2 - (2 - 1)). Let h = g + -7. Suppose -2*r**5 + 4*r**5 + 0*r**5 + h*r**4 = 0. What is r?
-2, 0
Let m(k) be the third derivative of -k**8/840 + k**7/175 + k**6/300 - 11*k**5/150 + k**4/5 - 4*k**3/15 + 164*k**2. Suppose m(w) = 0. Calculate w.
-2, 1, 2
Let k(l) = l - 9. Let r be k(12). Suppose s - r = -0*s. Let -9*m - 8*m + 19*m - 2*m**s = 0. Calculate m.
-1, 0, 1
Let h = -78 - -60. Let d be h/108 + 13/6. Determine q, given that 2/3*q - 4/3*q**3 + 2/3 - 4/3*q**d + 2/3*q**5 + 2/3*q**4 = 0.
-1, 1
Let y = 9711 + -9707. Determine m, given that 12/5*m**3 - 12/5*m**2 + 0 - 3/5*m**y + 0*m = 0.
0, 2
Factor 1/6*s**5 + 0*s**2 + 0 + 0*s + 1/2*s**3 + 2/3*s**4.
s**3*(s + 1)*(s + 3)/6
Let c(t) be the first derivative of t**5/15 + 11*t**4/48 - 43*t**3/36 + 5*t**2/12 + 73. Factor c(g).
g*(g - 2)*(g + 5)*(4*g - 1)/12
Let y(g) be the first derivative of 18*g**5/5 + g**4 - 6*g**3 - 2*g**2 + 122. Let y(s) = 0. Calculate s.
-1, -2/9, 0, 1
Determine t so that 0*t - 32/17*t**3 - 6/17*t**2 - 12/17*t**5 - 46/17*t**4 + 0 = 0.
-3, -1/2, -1/3, 0
Let d(c) = 8*c**5 + 4*c**4 - 12*c**3 - 16*c**2 - 4. Let w(v) = -23*v**5 - 11*v**4 + 36*v**3 + 46*v**2 + 11. Let t(b) = 11*d(b) + 4*w(b). Solve t(f) = 0 for f.
-1, 0, 2
Let b be 1/((-6 - -5)/(-3)). Let f(i) be the first derivative of -3*i**b - 3*i - 9/2*i**2 - 6 - 3/4*i**4. Factor f(a).
-3*(a + 1)**3
Let c be (128 - 6)/(5/46). Let t = 1126 - c. Factor 0 + 4/5*j + t*j**2 + 14/5*j