2 + 17*v. Let y be r(5). Find s such that 0*s**3 - 3/5*s**5 - 6/5*s**y + 3/5*s + 6/5*s**4 + 0 = 0.
-1, 0, 1
Let s(k) = 6*k**3 - 5*k**3 - k**4 + 2*k**4. Let f(m) = 3*m**2 + 19*m**3 - 17*m**3 - 2*m**2. Let u(o) = 2*f(o) - 3*s(o). Suppose u(a) = 0. What is a?
-2/3, 0, 1
Let o(p) = 2*p**2 - 3*p + 3. Let z be (1/(1/1))/(-1). Let m be -2*3/6 + 12 + -10. Let k(f) = f**2 + f. Let l(c) = m*k(c) + z*o(c). Let l(r) = 0. What is r?
1, 3
What is b in -10*b - 25/3 + 5/3*b**4 + 20/3*b**2 + 10*b**3 = 0?
-5, -1, 1
Let r(z) = z**2 + 12*z - 28. Let q be r(-14). Find w, given that -5 - 5*w - 4*w**2 + 9*w**2 + q*w + 5*w**3 = 0.
-1, 1
Let w be ((-698)/(-2443))/(3/7). Let 0*c - w*c**4 + 8/3*c**3 + 0 - 8/3*c**2 = 0. Calculate c.
0, 2
Let u(h) be the first derivative of 2*h**3/3 + 326*h**2 + 53138*h + 876. Solve u(y) = 0 for y.
-163
Suppose -4/3*h - 4/3*h**2 + 0 - 1/3*h**3 = 0. What is h?
-2, 0
Factor -128/25 + 96/25*f + 72/25*f**2 + 2/5*f**3.
2*(f + 4)**2*(5*f - 4)/25
Let l be 26/91 + (-2)/7. Suppose -2*n + 1 + 1 = 4*b, n + 3 = l. Find o, given that 7*o**b + 12*o - 3*o**2 + 15*o - 31*o = 0.
0, 1
Let k be (-6)/4*(3 + (-17)/3). What is g in g**4 - 25*g**3 + 3*g**2 + k*g**4 + 17*g**2 = 0?
0, 1, 4
Suppose -270 = -5*f + 50. Factor -82*k**4 + 36*k**5 - 354*k**4 + 144*k - 816*k**2 + f*k**5 - 244*k**4 + 1396*k**3.
4*k*(k - 3)**2*(5*k - 2)**2
Let c(j) be the first derivative of 4*j**4 - 32*j**3/3 + 10*j**2 - 4*j - 113. Factor c(n).
4*(n - 1)*(2*n - 1)**2
Suppose -4*p = l - 5, 90*p + l = 92*p - 13. Let h = 11 - 19/2. Factor -h - 3/2*o + 3*o**2 + 3*o**p - 3/2*o**4 - 3/2*o**5.
-3*(o - 1)**2*(o + 1)**3/2
Let f(j) be the first derivative of -2*j**3/3 - 196*j**2 - 19208*j - 232. Solve f(d) = 0 for d.
-98
Let j(l) be the second derivative of l**6/45 - l**5/6 - 36*l + 1. Solve j(v) = 0.
0, 5
Let a(z) be the third derivative of 0 + 1/105*z**7 + 0*z**4 + 0*z + 0*z**3 - 1/15*z**5 - 1/60*z**6 + 2*z**2. Determine h, given that a(h) = 0.
-1, 0, 2
Let t = -28/53 - 17671/159. Let i = t - -113. What is n in -2/3*n**2 - 2/3*n + i = 0?
-2, 1
Determine g so that 4/7*g**2 + 3844/7 - 248/7*g = 0.
31
Let s(y) = 76*y**4 + y**3 - 60*y**2 + 23*y. Let x(u) = -26*u**4 - u**3 + 20*u**2 - 8*u. Let v(h) = 3*s(h) + 8*x(h). Factor v(d).
5*d*(d - 1)*(d + 1)*(4*d - 1)
Let z(i) = -6*i**2 - 366*i. Let m be z(-61). Let 6/7*r**4 + m - 6/7*r**2 - 2/7*r**3 + 4/7*r - 2/7*r**5 = 0. Calculate r.
-1, 0, 1, 2
Let a(c) be the third derivative of c**7/70 + 7*c**6/40 - 9*c**5/10 - 4*c**2 - 3. Factor a(u).
3*u**2*(u - 2)*(u + 9)
Let y = 166 - 130. Let b be (3/(9/(-2)))/((-4)/y). Suppose 3/4*g**2 - b*g + 12 = 0. What is g?
4
Suppose 6*i = 3*i + 72. Find r such that 0*r - i*r - 36 - 9*r**2 + 5*r**2 = 0.
-3
Let l be 80/36 + (-2)/9. Suppose z - 4*q = -2, 0*z - 3*q = l*z - 7. Solve -3/2*i**z - 1/2*i**3 + 3/2 + 1/2*i = 0.
-3, -1, 1
Suppose -5*w + 13 = 3*c, 2*c + 10 = 6*c + 3*w. Let j be 32/10 - ((3 - 4) + c). Suppose -8/5*g**3 + 0 + 7/5*g**2 - 1/5*g - j*g**4 = 0. What is g?
-1, 0, 1/4
Let p = -2177 - -2179. Factor 0 + 0*n**p + 1/2*n**4 - 3/2*n**3 + 2*n.
n*(n - 2)**2*(n + 1)/2
Let d(c) be the second derivative of 0 + 3/8*c**2 - 9*c + 0*c**3 - 7/16*c**4 - 9/40*c**5. Determine q so that d(q) = 0.
-1, -1/2, 1/3
Find p, given that 14 - 208*p + 18 + 7 + 52*p + 41 + 28*p**2 = 0.
4/7, 5
Let p(x) be the third derivative of -x**5/80 + 5*x**2 + 6. Solve p(g) = 0.
0
Let l(t) be the first derivative of -t**6/14 - 9*t**5/35 + 3*t**4/28 + t**3 - 12*t/7 - 82. Determine g so that l(g) = 0.
-2, -1, 1
Let 6*c**2 + 18*c + 0 - 3/2*c**3 = 0. Calculate c.
-2, 0, 6
Let h(n) = -2*n - 2. Let k be h(-4). Suppose 6*t - 12 = k. Factor 0 - 6/5*i**2 + 4/5*i + 2/5*i**t.
2*i*(i - 2)*(i - 1)/5
What is d in -1/3*d**2 + 0 - 69*d = 0?
-207, 0
Let d(v) = 3*v**3 - v**2 - v. Let n(c) = -5*c**3 + 42*c**2 + 41*c. Let a(x) = -2*d(x) - n(x). Let a(u) = 0. Calculate u.
-39, -1, 0
Let h(u) = -15*u**3 + 10*u**2 + 35*u + 20. Let r(g) = -g**4 + g**3 + g**2 + g. Let p(k) = -h(k) - 5*r(k). Factor p(n).
5*(n - 2)*(n + 1)**2*(n + 2)
Let g(t) be the first derivative of t**6/180 + t**5/60 - t**4/6 - 4*t**3 + 6. Let k(o) be the third derivative of g(o). Determine a so that k(a) = 0.
-2, 1
Factor 402/5*i**2 + 3*i**3 + 2847/5*i + 2028/5.
3*(i + 13)**2*(5*i + 4)/5
Find g such that 16*g**2 - 2*g**4 - 6*g**5 - 14*g**4 + g**3 + 2*g**3 + 4*g + 5*g**3 - 6*g**5 = 0.
-1, -1/3, 0, 1
Let g be 3/12 + (-135)/(-900). Factor -8/5*y**3 - 2/5 - 12/5*y**2 - g*y**4 - 8/5*y.
-2*(y + 1)**4/5
Suppose -8*p = 12*p - 80. Let u(b) be the first derivative of 7 - 3/2*b**6 + 39/5*b**5 + p*b - 12*b**2 + 19*b**3 - 67/4*b**4. Find g, given that u(g) = 0.
2/3, 1
Let j(d) = -3*d**3 - 2*d - 2. Let q be j(-1). Factor 3062*y**2 - 2 - y**q - 3062*y**2 + 3*y.
-(y - 1)**2*(y + 2)
Let j = 277 + -273. Let g = 3 + 0. Factor -4 + j*l - l - 2 + g*l**2.
3*(l - 1)*(l + 2)
Solve -5*y + 44*y**2 - 369/4*y**3 - 81/4*y**4 + 0 = 0 for y.
-5, 0, 2/9
Let p = -31 - -99. Let z = p + -68. Factor 2/3*q**2 + z*q + 0.
2*q**2/3
Let g(u) = -u**3 + 2*u**2 - 1. Let l be g(2). Let q be ((1/l)/(11 + -6))/(-1). Determine p so that 0 - 1/5*p**4 + 1/5*p**2 - 3/5*p**3 + 2/5*p**5 + q*p = 0.
-1, -1/2, 0, 1
Let j(n) = -5*n + 9. Let g be j(-9). Let y be 21/10*45/g. Factor -4*m - y*m**2 - 1.
-(m + 2)*(7*m + 2)/4
Let d(p) be the second derivative of 0 - 12*p**3 + 9*p - 9/4*p**4 - 24*p**2 - 3/20*p**5. Find b such that d(b) = 0.
-4, -1
Let z(b) = -2*b**2 + b + 2. Let l(m) = -16*m**2 - 258*m + 12. Let x(a) = -l(a) + 6*z(a). Factor x(i).
4*i*(i + 66)
Let v = 159 + -1111/7. Let m = v - 3/35. Let 1/5*s**3 + 1/5*s**2 + 0 + 0*s - 1/5*s**4 - m*s**5 = 0. Calculate s.
-1, 0, 1
Factor 0*y + 10*y + 1494*y**4 + 0*y**5 - 1469*y**4 + 45*y**3 + 35*y**2 + 5*y**5.
5*y*(y + 1)**3*(y + 2)
Let w(r) be the first derivative of 5/2*r**4 + 7*r**2 + 1 - 4*r - 6*r**3 - 2/5*r**5. Let w(t) = 0. Calculate t.
1, 2
Let h be (-329)/(-28)*(-8)/(-2). Let u = h - 45. Find q such that 3/4*q - 1/4*q**3 - 1/2 + 0*q**u = 0.
-2, 1
Factor -3*s**2 + 394*s + 255*s - 212 - 4*s - 430 + 0*s**2.
-3*(s - 214)*(s - 1)
Let h(a) = a**3 + 13*a**2 + a + 14. Let s be h(-13). Factor 9*j**4 - s - 2*j**3 + 5 - 2*j - 6*j**2 + 4*j - 7*j**4.
2*(j - 2)*(j - 1)*(j + 1)**2
Let o = -8 + 10. Let -15*q**3 + 2*q + 6*q**o - 6*q**2 + 13*q**3 = 0. Calculate q.
-1, 0, 1
Let t(i) = -50*i**3 + 70*i**2 - 15*i - 15. Let f(o) = -12*o + 9. Let b be f(2). Let p(w) = -7*w**3 + 10*w**2 - 2*w - 2. Let l(m) = b*p(m) + 2*t(m). Factor l(k).
5*k**2*(k - 2)
Suppose 68*f - 69*f = -b + 7, -5*f - 21 = 2*b. Factor -p - p**b - 2/7*p**3 - 2/7.
-(p + 1)*(p + 2)*(2*p + 1)/7
Let w be -3 + (-59)/(-7) - (-3)/(-7). Suppose 4*q = -w*g, -g + 8 = -2*q - 6. Let -1/4*n**g + 1/4*n**2 + 0 + 1/2*n**3 - 1/2*n = 0. What is n?
-1, 0, 1, 2
Suppose -132 = -3*p - 42. Let f be 6/(-4)*(-40)/p. Factor 0 - 1/3*m**3 - 2/3*m**f + 1/3*m**4 + 0*m.
m**2*(m - 2)*(m + 1)/3
Let j(t) = t + 0*t**3 + 0*t + 39 - t**4 + t**2 - 38 - t**3. Let y(k) = -k**4 - 3*k**3 - 2*k - 2. Let s(a) = -2*j(a) - y(a). Find w such that s(w) = 0.
-2, 0, 1/3
Let f(n) be the first derivative of n**3/4 - 3*n**2/4 - 45*n/4 + 71. Factor f(k).
3*(k - 5)*(k + 3)/4
Let k(u) be the second derivative of -u**7/1050 + 4*u**6/225 - 8*u**5/75 + u**3/3 - 2*u. Let i(h) be the second derivative of k(h). Factor i(c).
-4*c*(c - 4)**2/5
Let m(t) = t**2 + 293*t + 5467. Let k(n) = -4*n**2 - 880*n - 16404. Let o(x) = 3*k(x) + 8*m(x). Solve o(i) = 0.
-37
Let p(s) be the first derivative of -s**5/30 - s**4/9 - s**3/9 + 3*s + 18. Let j(g) be the first derivative of p(g). Find x such that j(x) = 0.
-1, 0
Let b(t) = t**3 + 2*t**2 + 31*t + 30. Let y be b(-1). Factor 2*n + y - 38/3*n**2 + 4*n**3.
2*n*(n - 3)*(6*n - 1)/3
Let p(d) = -12*d**2 + 12*d. Let b(h) = 18*h - h**2 - 18*h. Let a(f) = 16*b(f) - p(f). Factor a(x).
-4*x*(x + 3)
Let s = 119203/6 - 19867. Let 0*z - s*z**2 + 0 = 0. What is z?
0
Factor 2*i**2 + 4*i**5 - 5*i**2 - 2*i**2 - 31*i**4 + 21*i**5 + 35*i**3 - 24*i**4.
5*i**2*(i - 1)**2*(5*i - 1)
Suppose -34*a + 101/3 + 1/3*a**2 = 0. Calculate a.
1, 101
Let -543/2*a**4 + 54*a + 15/2 + 48*a**2 - 225*a**3 - 45*a**5 = 0. Calculate a.
-5, -1, -1/3, -1/5, 1/2
Let k be 18930/(-110) + (-3)/(-33). Let m = k - -345/2. Let 1/2*z + z**2 - m = 0. Calculate z.
-1, 1/2
Let u(z) be the second derivative of -z**5/12 - 25*z**4/12 - 125*z**3/6 + 1