*5 - 1/60*s**6 + 0 - 3*s**4. Suppose c(i) = 0. What is i?
0, 6
Let z = -25908/5 - -5182. Factor 1/5*y - 1/5*y**2 + z.
-(y - 2)*(y + 1)/5
Let w(k) = 3*k + 7. Suppose -3*d + 12 = 15. Let x be w(d). Find l, given that 0*l + 1/5*l**3 + 0*l**2 + 0 - 1/5*l**x = 0.
0, 1
Suppose -14 = -2*a - 0*a. Factor -a + 97 + 60*m + 210 + 3*m**2.
3*(m + 10)**2
Solve -5/4*q**3 + 0 + 7/2*q**2 - 3/4*q**5 + 0*q - 11/2*q**4 = 0.
-7, -1, 0, 2/3
Suppose -9*r**3 - 60*r**2 - 20*r - 6*r**3 + 0*r + 9*r**4 + 0*r + 16*r**4 = 0. Calculate r.
-1, -2/5, 0, 2
Let a(u) = -u - 1. Let f(v) = -27*v**2 + 19*v - 2. Suppose -3*x - 29 = -26. Let h(j) = x*a(j) - f(j). Factor h(q).
3*(3*q - 1)**2
Factor -6*a + 27*a**2 - 210579 + 210579.
3*a*(9*a - 2)
Determine t so that 9*t + 4*t**3 - 24*t**2 - 12 + 35*t - 12 = 0.
1, 2, 3
Let i(z) be the first derivative of 3*z**4 - 17*z**3/3 + 3*z**2/2 + 2*z + 146. Solve i(y) = 0.
-1/4, 2/3, 1
Let a(o) be the first derivative of o**4/114 - 24*o + 10. Let b(c) be the first derivative of a(c). Factor b(x).
2*x**2/19
Let x(a) be the second derivative of -3*a**5/140 + 5*a**4/28 + a**3 - 3*a - 19. Determine d so that x(d) = 0.
-2, 0, 7
Let p(a) = -3*a**3 + 21*a**2 - 5*a - 75. Let s be p(6). Determine w, given that -3/2*w**s + 63/2*w + 33/2 + 27/2*w**2 = 0.
-1, 11
Let n be (-8 + 1866/234)/((-7)/((-504)/(-4))). Factor 2/13*l**3 - 2/13 - n*l**2 + 6/13*l.
2*(l - 1)**3/13
Let d(l) = 9*l**2 - 21. Let h(m) = 16*m**2 - m - 41. Let p(w) = 5*d(w) - 3*h(w). What is q in p(q) = 0?
-2, 3
Let t = 9243 - 9238. Suppose 24/11*v**4 + 10/11*v**t + 18/11*v**3 + 0*v + 4/11*v**2 + 0 = 0. Calculate v.
-1, -2/5, 0
Let a(b) be the third derivative of 0 - 1/90*b**5 + 1/720*b**6 + 2*b**2 + 1/9*b**3 - 1/144*b**4 + 0*b. Suppose a(s) = 0. Calculate s.
-1, 1, 4
Let s(m) = 4*m - 60. Let b = -129 - -144. Let z be s(b). Factor 0 - 1/5*f**4 + z*f**3 + 0*f**2 + 0*f.
-f**4/5
Let s(f) = f**4 + f**3 - f**2 + 1. Let j(y) = 3*y**4 - 49*y**3 + 30*y**2 + 24*y + 8. Let v(c) = 5*j(c) - 40*s(c). Determine q so that v(q) = 0.
-12, -2/5, 0, 1
Let b(p) be the third derivative of p**6/540 - 7*p**5/270 - 7*p**4/36 + p**3 - 319*p**2. Solve b(x) = 0.
-3, 1, 9
Let i(t) = -3*t**2 + 65*t + 5. Let f(r) = r**2 + r - 1. Let c(w) = -5*f(w) - i(w). Factor c(z).
-2*z*(z + 35)
Factor 122/3 + 2/9*c**2 + 128/9*c.
2*(c + 3)*(c + 61)/9
Let g(r) be the third derivative of -r**6/780 - 4*r**5/195 - r**4/12 - 2*r**3/13 + 20*r**2 + 2*r. Let g(i) = 0. What is i?
-6, -1
Let 0*f + 6/5*f**4 + 0 - f**5 + 3/5*f**3 - 4/5*f**2 = 0. Calculate f.
-4/5, 0, 1
Suppose -2*g + 19/3*g**2 + 0 - 5/3*g**4 - 8/3*g**3 = 0. Calculate g.
-3, 0, 2/5, 1
Let f = -44 + 44. Factor 29 + 2*p + f*p**3 - 29 + 3*p**2 - 2*p**3.
-p*(p - 2)*(2*p + 1)
Let y(a) = -5*a**2 + 11*a - 18. Let j(m) = -9*m**2 + 25*m - 36. Let h(b) = -3*j(b) + 5*y(b). Let h(t) = 0. Calculate t.
1, 9
Let x(c) be the first derivative of 4*c**3/21 - 412*c**2/7 + 42436*c/7 - 567. Let x(j) = 0. Calculate j.
103
Let d(s) be the second derivative of -s**4/48 - 27*s**3/2 - 6561*s**2/2 - 2*s - 86. Suppose d(l) = 0. What is l?
-162
Let u(k) be the third derivative of -k**7/105 + k**6/15 + 13*k**5/30 - 10*k**4/3 - 16*k**3 + k**2 + 44*k. Factor u(i).
-2*(i - 4)**2*(i + 1)*(i + 3)
Let h(i) be the third derivative of i**5/120 - 7*i**4/24 - 40*i**2 - 2. Suppose h(f) = 0. What is f?
0, 14
Let t = -93 + 100. Let g be (-13)/(-7) - (-1)/t. Find p, given that -1/2*p**g + 1/2*p + 0 = 0.
0, 1
Suppose d = r - 4, r + 3*d - 8*d = -16. Let q be (-4)/6*(-228)/8. Factor -24*k + r + 12*k**2 - 12 - 2*k**3 + q.
-2*(k - 2)**3
Let m(b) be the third derivative of b**5/12 + 5*b**4/6 - 75*b**3/2 - 578*b**2 + 1. Factor m(x).
5*(x - 5)*(x + 9)
Let q(u) be the third derivative of 7/240*u**8 + 0*u**3 + 13/25*u**6 - 7*u**2 + 32/75*u**5 + 0 + 0*u + 2/15*u**4 + 16/75*u**7. Factor q(d).
d*(d + 2)**2*(7*d + 2)**2/5
Let y(f) be the first derivative of -f**6/6 - 58*f**5/5 - 111*f**4/2 - 328*f**3/3 - 217*f**2/2 - 54*f - 195. Determine n so that y(n) = 0.
-54, -1
Determine q, given that 8427/7 + 3/7*q**2 - 318/7*q = 0.
53
Let r(l) = l**5 - l**4 - l**2 + 1. Suppose 0 = 5*b - 57 + 32. Let f(d) = 2*d**5 - 3*d**3 - 2*d**2 + 3. Let h(g) = b*f(g) - 15*r(g). Find k, given that h(k) = 0.
0, 1
Let r(x) = x**3 - 11*x**2 - 8*x - 44. Let o be r(12). What is f in -4/7*f - 2/7*f**o - 10/7*f**2 + 0 - 8/7*f**3 = 0?
-2, -1, 0
Let g(v) = -10*v**4 - 12*v**3 - 10*v**2 + 8*v - 8. Let r(x) = -x**4 - 2*x**3 - x**2 + x - 1. Let f(j) = g(j) - 8*r(j). Factor f(z).
-2*z**2*(z - 1)**2
Let b(n) = -5*n**2 - 40*n + 193. Let m(u) = -u**2 - 1. Let x = 24 - 26. Let p(k) = x*b(k) + 14*m(k). Factor p(a).
-4*(a - 10)**2
Let s(y) be the third derivative of 1/100*y**5 - 1/560*y**8 + 0 - 1/350*y**7 + 0*y**3 + 22*y**2 + 0*y**4 + 1/200*y**6 + 0*y. Factor s(u).
-3*u**2*(u - 1)*(u + 1)**2/5
Factor 12/7*l - 3/7*l**3 - 9/7*l**2 + 0.
-3*l*(l - 1)*(l + 4)/7
Let k be 750/9*(-3)/(-15)*6. Determine f, given that -4*f**3 + 140*f + 8*f**3 + 23*f**2 + k + 26*f**2 - 5*f**2 = 0.
-5, -1
Factor -5*l**2 + 0*l**2 + 250 - l**3 - l**3 + 50*l + 0*l**3 - 5*l**2.
-2*(l - 5)*(l + 5)**2
Suppose 7*f = 4*f - 12, -4*f = 4*v + 8. Suppose -3*m = 4*m - v*m. Determine g so that -6/7*g**2 + m + 2/7*g**3 + 4/7*g = 0.
0, 1, 2
Let q(z) be the first derivative of -1/9*z**3 + 1/2*z**2 - 12 + 0*z. Factor q(f).
-f*(f - 3)/3
Solve -4/3 + 22/9*l - 4/3*l**2 + 2/9*l**3 = 0.
1, 2, 3
Let b be 4 - (16/6)/(56/14)*6. Suppose 0 + 1/5*m**3 + b*m + m**2 = 0. What is m?
-5, 0
Let z(i) be the first derivative of i**3 + 21*i**2/2 - 24*i - 337. Factor z(b).
3*(b - 1)*(b + 8)
Let y = 25 + -23. Let p(h) = -h**2 + h. Let b(o) = 3*o**2 + 19*o - 6. Let l(d) = y*b(d) - 6*p(d). Factor l(s).
4*(s + 3)*(3*s - 1)
Let j = 88 - 92. Let x(u) = u**2 + 4*u + 4. Let s be x(j). Factor -3/2*q**3 + 3/4*q**5 + 3/4*q - 3/4*q**s + 3/2*q**2 - 3/4.
3*(q - 1)**3*(q + 1)**2/4
Let x(i) be the first derivative of -3*i**4/32 + 2*i**3 - 87*i**2/16 + 21*i/4 + 15. Factor x(f).
-3*(f - 14)*(f - 1)**2/8
Let l(u) = -u**3 - 7*u**2 - u + 5. Let n be l(-7). Let c be (n/8)/((-4)/(-8)). Find v such that 1/2*v**c + 1/2 + 7/4*v**2 + 7/4*v = 0.
-2, -1, -1/2
Determine s so that 0 - s**3 + 3/2*s**2 - 1/2*s = 0.
0, 1/2, 1
Factor s - 7/3*s**2 + 5/3*s**3 + 0 - 1/3*s**4.
-s*(s - 3)*(s - 1)**2/3
Let a(l) be the first derivative of 12*l + l - 6*l**2 - 6*l**3 - 4*l + 10 + 7*l**3. Find s such that a(s) = 0.
1, 3
Let r(m) be the second derivative of -m**7/630 + m**6/90 + m**4/12 + 14*m. Let j(v) be the third derivative of r(v). Factor j(x).
-4*x*(x - 2)
Let a be -3*(1/3 + -4). Factor -4*d**3 - d**2 - 7*d + 4 - 3*d**2 + a*d.
-4*(d - 1)*(d + 1)**2
Suppose 4*w + 10 = -f, 0 = 4*f - 2*w - 3*w - 23. Let h(i) be the first derivative of 3/2*i**f + 0*i + 2*i**3 - 1. Determine a, given that h(a) = 0.
-1/2, 0
Let h be 14*(7 + (-282)/42). Let z(t) be the second derivative of 0*t**h - 1/195*t**6 + 0*t**3 + 0*t**2 + 6*t + 0*t**5 + 0. Let z(w) = 0. What is w?
0
Let k(x) = -3*x + 1 + 3*x + x**2. Let c(l) = 3*l**2 - 12*l + 10. Let u be c(3). Let n(p) = 5*p**3 + 2*p**2 + 3. Let o(j) = u*n(j) - 3*k(j). Factor o(f).
f**2*(5*f - 1)
Let d be 0 - (0 + -1 - 2). Let x(l) = -3*l - 9. Let o be x(-3). Factor 1/2*j**d - 1/4*j**5 + 1/4*j**4 + 0*j**2 + o + 0*j.
-j**3*(j - 2)*(j + 1)/4
Let b(d) = -32*d - 22. Let u be b(-16). Factor -2 - u*o**3 - 4*o**2 + 491*o**3 + 0 + 5*o.
(o - 2)*(o - 1)**2
Let k(g) = -g**2 + 8*g - 3. Let d be k(-10). Let l = d - -183. Determine h, given that 3/2*h**3 + 3/4*h**4 + l*h**2 - 3/4 - 3/2*h = 0.
-1, 1
Let n(c) be the first derivative of -5/3*c**3 + 5/4*c**4 - 5/2*c**2 + 43 + 5*c. Solve n(m) = 0.
-1, 1
Let f(i) = i - 12. Let c be f(14). Suppose 2*u + c*u = -u. Factor 0 + 0*h**2 + 3*h**4 - 3/2*h**5 - 3/2*h**3 + u*h.
-3*h**3*(h - 1)**2/2
Suppose -2 = -5*h + 48. Let v be ((-78)/70 + 1)/((-2)/h). Factor v*m**3 - 2/7*m**4 + 0 + 0*m - 2/7*m**2.
-2*m**2*(m - 1)**2/7
Let -2/3*l**4 - 16/3*l**3 - 64/3*l + 20*l**2 + 22/3 = 0. What is l?
-11, 1
Suppose 3*b = 3*j, 2*b - 4*b + 25 = 3*j. Factor 2*m**2 - j*m**3 + 5*m**4 - 5*m**3 - 7*m**3 + 10*m**3.
m**2*(m - 1)*(5*m - 2)
Let a(h) = 48*h**2 + 124*h - 36. Let b(v) = -v**2 + 1. Let f(k) = -11*k**2 - 41*k + 7. Let u(s) = -5*b(s) - f(s). Let i(g) = 3*a(g) - 8*u(g). Factor i(o).
4*(o + 3)*(4*o - 1)
Factor -14338*c**3 - 81*c**2 + 7192*c**3 + 7179*c**3 - 3*c**4 