1*s**3 + 0 - 4*s - 4/7*s**2. Determine r, given that p(r) = 0.
-2, 1/2, 1
Suppose 2*p + 5*x - 31 = 0, -p + 5 + 3 = x. Let a(m) be the first derivative of 3/2*m**2 + p + 3/4*m**4 - 2*m**3 + 0*m. Factor a(b).
3*b*(b - 1)**2
Suppose -2*j = -0*j - 4. Factor 0*o**2 - j*o**4 + 2*o**3 + 3*o + 0*o**3 - 5*o + 2*o**2.
-2*o*(o - 1)**2*(o + 1)
Let y(j) = 12*j**2 - 9*j + 6. Let o(x) = -3 - 2 - 11*x**2 + 0 + 8*x. Let v(c) = 6*o(c) + 5*y(c). What is r in v(r) = 0?
0, 1/2
Factor -2/3*a - a**2 + 0 - 1/3*a**3.
-a*(a + 1)*(a + 2)/3
Let g be (-44)/(-154) + 17/14. Let 0 + g*h**3 - 1/2*h**2 - 3/2*h**4 + 0*h + 1/2*h**5 = 0. Calculate h.
0, 1
Let x = -2/2679 - -29521/69654. Let v = 1/13 + x. Determine q so that 0*q**2 + 0*q + 1/4*q**3 + 0 - 3/4*q**5 - v*q**4 = 0.
-1, 0, 1/3
Suppose -4*b - b + 4*q + 9 = 0, -b - 3*q = -17. Suppose 0 = -2*d + 6, b*c = 3*d + 2*d + 70. Factor 24*k + c + 10 - 350*k**3 - 180*k**2 - 11.
-2*(5*k + 2)**2*(7*k - 2)
Suppose 0 = -12*n + 16*n + 116. Let i = n + 32. Factor -4/7*g**2 + 2/7*g**i + 2/7*g + 0.
2*g*(g - 1)**2/7
Let v(i) = i - 5. Let a(d) = -d + 5. Let r(w) = -6*a(w) - 7*v(w). Let j be r(4). Factor -1 + 2*n**3 + 0 - 2*n**2 + 2*n**4 - 2*n + j.
2*n*(n - 1)*(n + 1)**2
Suppose 12 = -135*f + 141*f. Factor -4/5*d**f + 1/5*d + 3/5*d**3 + 0.
d*(d - 1)*(3*d - 1)/5
Find y, given that 3/2*y**2 - 3*y + 3/2 = 0.
1
Let d be -5*(-2 - 245/(-125)). Factor 4/5*m + 4/5 + d*m**2.
(m + 2)**2/5
Let y be (0 - 2 - -6)/1. Factor -4 - 2*o**2 - 4*o + 6 - y.
-2*(o + 1)**2
Suppose -5*v = -2 - 3. Let x(d) = 3*d**3 - 3*d**2 + 2*d + 2. Let l(u) = -1 + 2 + u**2 - 2 - u. Let i(k) = v*x(k) + 2*l(k). Determine n so that i(n) = 0.
0, 1/3
Let y(q) = q**2 + q - 2. Let g be y(-2). Suppose 4*t + g*t = 0. Determine p so that 2*p**5 - p**2 + t*p**5 + p**3 - p**4 + 2*p**2 - 3*p**5 = 0.
-1, 0, 1
Let c(i) be the second derivative of 4/3*i**4 + 2/5*i**6 - 2*i - 6/5*i**5 + 0*i**2 + 0*i**3 - 1/21*i**7 + 0. Suppose c(s) = 0. Calculate s.
0, 2
Let h = 3 + 15. Solve 5*z**3 - 3*z**3 + 6*z + 4 + z**4 - 4*z**4 + 9*z**2 - h*z = 0.
-2, 2/3, 1
Let z(o) be the third derivative of -o**7/140 - o**6/40 + 11*o**2. Factor z(d).
-3*d**3*(d + 2)/2
Let u = 19 + -18. Let b(d) = 3*d**4 + 5*d**3 - 9*d**2 + 6*d. Let z(g) = g**4 - g**3 + g**2. Let f(c) = u*b(c) - 5*z(c). Solve f(l) = 0 for l.
0, 1, 3
Let c(v) = -15*v**2 - 30*v + 45. Let g(o) = 8*o**2 + 15*o - 23. Let q(d) = 3*c(d) + 5*g(d). What is u in q(u) = 0?
-4, 1
Factor 0 + 9/4*d**2 - 1/2*d.
d*(9*d - 2)/4
Suppose -41*z**2 - 5*z**3 - 34*z**2 + 80*z**2 = 0. Calculate z.
0, 1
Let q(l) be the second derivative of 0*l**3 - 1/84*l**7 + 0 + 1/40*l**5 - 1/24*l**4 + 5*l + 0*l**2 + 1/60*l**6. Find h such that q(h) = 0.
-1, 0, 1
Suppose 0 = 5*p - p. Suppose 4*l - 7*l = p. Factor 0 + l*k**2 - 3*k**3 - 9*k**5 - 21/2*k**4 + 0*k.
-3*k**3*(2*k + 1)*(3*k + 2)/2
Factor -2/5 + 1/5*g**2 + 3/5*g**3 - 3/5*g + 1/5*g**4.
(g - 1)*(g + 1)**2*(g + 2)/5
Let p(g) be the first derivative of 1/3*g**2 - 1/27*g**6 - 2/9*g + 2/15*g**5 - 4/27*g**3 - 1/9*g**4 + 3. Factor p(b).
-2*(b - 1)**4*(b + 1)/9
Let u(s) be the third derivative of -s**7/1890 + s**6/216 + 19*s**2. Let u(l) = 0. Calculate l.
0, 5
Let s be (-4)/(-15)*(-25)/30. Let j = 17/36 + s. Factor 0*f - 1/4*f**2 + j.
-(f - 1)*(f + 1)/4
Suppose 0 = 5*r - 5, -u + 2*r = r - 7. Suppose -8*j**3 - u*j - 2 - 12*j**2 + 0*j - 2*j**4 + 4*j - 4*j = 0. What is j?
-1
Suppose y - 3*y - 3*z = 5, 4*y + 3*z + 1 = 0. Factor n + n - y - n**2 + 1.
-(n - 1)**2
Let g(d) = d**2 - 1. Let l(m) = -m**3 - 11*m**2 - 5*m + 5. Let w(f) = 21*g(f) + 3*l(f). Factor w(y).
-3*(y + 1)**2*(y + 2)
Let v(n) be the third derivative of 0 + n**2 + 0*n - 1/30*n**5 + 0*n**3 - 1/12*n**4. Solve v(r) = 0.
-1, 0
Suppose 2/3*j**2 - 16/3*j + 32/3 = 0. Calculate j.
4
Suppose -6*x + 5/2*x**2 + 2 = 0. Calculate x.
2/5, 2
Let d(l) be the second derivative of -l**7/21 + 3*l**5/10 - l**4/3 - 6*l. Factor d(b).
-2*b**2*(b - 1)**2*(b + 2)
Let k(z) be the third derivative of -z**5/105 + z**4/21 - 2*z**3/21 - 12*z**2. Find q, given that k(q) = 0.
1
Let o = -561/20 + 149/5. Let w**2 - 1/2 - o*w = 0. What is w?
-1/4, 2
Let c(s) = -s**4 + 3*s**3 - s**2 - s - 2. Let n(b) = -6*b**4 + 16*b**3 - 5*b**2 - 5*b - 11. Let w(y) = 33*c(y) - 6*n(y). Factor w(j).
3*j*(j - 1)*(j + 1)**2
Let m(i) be the first derivative of i**8/3360 + i**7/1680 + i**3 - 1. Let l(f) be the third derivative of m(f). Factor l(u).
u**3*(u + 1)/2
Suppose 4*z - w - 15 = 0, -2*z - w + 12 = -3*w. Let 0*s**3 - 3 - 3*s**2 + z*s + s**3 + 2 = 0. Calculate s.
1
Let s be 0 + ((-32)/18 - -2). What is u in 4/9 + s*u - 2/3*u**2 = 0?
-2/3, 1
Let -12 + 12 - p**4 - 2*p**4 = 0. What is p?
0
Let v(n) be the second derivative of -n**7/42 + n**5/5 + n**4/6 - n**3/2 - n**2 - 5*n. Determine j so that v(j) = 0.
-1, 1, 2
Suppose 0 = 4*i - 3*t + 15, 7*i - 3*t = 2*i - 15. What is b in i*b + 2/9*b**5 - 2/9*b**4 - 2/9*b**3 + 2/9*b**2 + 0 = 0?
-1, 0, 1
Suppose -8*u + 4*u + 5*s = -32, 3*u + 2*s = 1. Let c(k) be the first derivative of -3 - 1/18*k**4 + 1/9*k**2 + 2/27*k**u - 2/9*k. Factor c(h).
-2*(h - 1)**2*(h + 1)/9
Let y(m) be the third derivative of -m**5/80 - m**4/16 - m**3/8 + 2*m**2. Factor y(w).
-3*(w + 1)**2/4
Let z(p) = -6*p**2 + 6*p - 13. Let u(v) = v**2 + v - 1. Let j(w) = -5*u(w) - z(w). Suppose j(h) = 0. Calculate h.
2, 9
Let r be (83 - 82)*(1 - 1 - -2). Factor -18/11*b + 4/11 + 14/11*b**r.
2*(b - 1)*(7*b - 2)/11
Let d = -129/5 - -923/35. Solve -d*x + 6/7*x**4 + 0 - 6/7*x**2 + 2/7*x**5 + 2/7*x**3 = 0.
-2, -1, 0, 1
Let o(n) = -n**3 - 5*n**2 + 12*n - 14. Let m be o(-7). Suppose 0*j - 36/5*j**2 + m - 4/5*j**4 + 24/5*j**3 = 0. Calculate j.
0, 3
Let o(f) = 6*f**3 + 9*f**2 - 11*f - 9. Let q(x) = 5*x**3 + 8*x**2 - 9*x - 8. Let h(p) = 4*o(p) - 5*q(p). Suppose h(a) = 0. Calculate a.
-4, -1, 1
What is x in 6/11*x**2 - 8/11 + 0*x - 2/11*x**3 = 0?
-1, 2
Determine h so that -5*h + h**4 + 2*h**2 - 4 - 5*h**2 + h**3 + 2 = 0.
-1, 2
Let u(c) be the third derivative of c**8/84 - c**6/15 + c**4/6 - 14*c**2. Suppose u(m) = 0. Calculate m.
-1, 0, 1
Let x = -13/32 + 289/160. Determine m, given that -x*m**3 + 1/5*m**2 + 16/5*m**5 + 8/5*m**4 + 0*m + 0 = 0.
-1, 0, 1/4
Let r(d) = -3*d**2 - 16*d + 60. Let w(t) = -5*t**2 - 32*t + 121. Let j(b) = -7*r(b) + 4*w(b). Suppose j(s) = 0. Calculate s.
8
Suppose -5*x - 3*u = -31, 4*x - x = -4*u + 23. Suppose x = 3*v - 1. Factor 7 + 16*k - 10*k**v + 8 - 7.
-2*(k - 2)*(5*k + 2)
Let l = -573 + 34381/60. Let w(b) be the third derivative of 1/150*b**5 - l*b**6 + 1/60*b**4 - b**2 + 0*b + 0 + 1/175*b**7 + 0*b**3. Solve w(f) = 0.
-1/3, 0, 1
Let w(k) be the second derivative of -1/100*k**5 - 1/60*k**4 + 0*k**3 + 4*k + 0*k**2 + 0. Suppose w(q) = 0. Calculate q.
-1, 0
Suppose 0 = -10*b - 2*b + 48. Find u such that 23*u**2 + 5/3*u**3 + 4/3 - 32/3*u - 100/3*u**b = 0.
-1, 1/4, 2/5
Suppose 9/2*q - 3 - 3/2*q**2 = 0. Calculate q.
1, 2
Factor 4*q + 1/2*q**3 + 7/2*q**2 - 8.
(q - 1)*(q + 4)**2/2
Let j(c) be the second derivative of -c**7/840 + c**6/80 - c**5/20 + c**4/12 - 2*c. Let q(y) be the third derivative of j(y). Factor q(g).
-3*(g - 2)*(g - 1)
Suppose 4*h - 246 = 2*w, h - 4*w = w + 84. Let d = h + -411/7. Suppose 6/7*k**2 + d*k + 2/7*k**4 + 0 + 6/7*k**3 = 0. What is k?
-1, 0
Let r(x) be the first derivative of x**5/35 - x**4/7 + 2*x**3/7 - 2*x**2/7 - 10*x - 2. Let t(n) be the first derivative of r(n). Suppose t(a) = 0. What is a?
1
Let m(v) be the first derivative of v**5/100 - v**4/60 - v**3/30 + v**2/10 + 3*v + 3. Let h(i) be the first derivative of m(i). Factor h(g).
(g - 1)**2*(g + 1)/5
Suppose 3*v = 4*v. Factor -9*r**3 + 0 - 6*r**5 + 27/2*r**4 + v*r + 3/2*r**2.
-3*r**2*(r - 1)**2*(4*r - 1)/2
Let c(x) be the first derivative of 8*x**5 - 15*x**4 - 115*x**3/6 + 75*x**2/4 - 5*x + 50. Determine t, given that c(t) = 0.
-1, 1/4, 2
Let m(t) = t**2 + 5*t - 13*t - 24 + 17. Let w be m(9). Factor -8/5 + 32/5*i - 14/5*i**w.
-2*(i - 2)*(7*i - 2)/5
Let l(o) = -8*o**5 + 18*o**4 - 4*o**3 - 19*o**2 + 9*o + 1. Let q(t) = t**2 + t - 1. Let x(m) = l(m) + 3*q(m). Find p, given that x(p) = 0.
-1, 1/4, 1
Let i(m) be the third derivative of -m**8/40320 + m**7/5040 - 11*m**5/60 - 2*m**2. Let a(l) be the third derivative of i(l). Find t such that a(t) = 0.
0, 2
Let g be (-2)/51 - 0/(-6). Let n = 292/357 - g. Suppose 4/7*b**2 + 0 + n*b**3 - 2/7*b = 0. Calculate