p. Find t, given that -p*t**2 + t - 2*t**3 + 5*t**5 + 2*t**2 - 4*t**5 = 0.
-1, 0, 1
Let f = 8 + -17. Let z be f*(3 + (-94)/30). Suppose 0 - z*y**2 + 2/5*y - 2/5*y**4 + 6/5*y**3 = 0. Calculate y.
0, 1
Suppose -6/5*o**4 - 4/5*o**3 + 0 + 0*o + 0*o**2 - 2/5*o**5 = 0. Calculate o.
-2, -1, 0
Let u be (-4 - (-14)/7)/((-2)/3). Suppose 3/7*h**u + 6/7 - 9/7*h**2 - 3/7*h + 3/7*h**4 = 0. Calculate h.
-2, -1, 1
Let m(b) = -2*b**3 - 3*b**2 + 1. Let r(k) = k**3 + k**2 - k - 1. Let h(s) = 4*m(s) + 4*r(s). Find x, given that h(x) = 0.
-1, 0
Suppose 5*b = -2*y + 75, -4*b - y + 27 = -6*y. Suppose -17 = 4*m + 5*k, 0*m - m - 3*k = b. Solve 0*c**2 - c**m + 0*c**2 = 0.
0
Factor -3/5*x**2 - 3/5 - 6/5*x.
-3*(x + 1)**2/5
Let m(j) be the second derivative of 0 + 1/3*j**3 + 5*j - 1/12*j**4 + 3/2*j**2. Factor m(s).
-(s - 3)*(s + 1)
Let f(v) be the third derivative of -v**8/784 + 3*v**7/245 + v**6/140 - 3*v**5/35 - v**4/56 + 3*v**3/7 + 14*v**2 + 2*v. Solve f(h) = 0.
-1, 1, 6
Suppose 6*o**3 - 2*o**4 + 12*o**3 - 20*o**3 = 0. Calculate o.
-1, 0
Suppose -3*m = -3*f + 15, 2*m = 4*f - 0*f - 16. Solve -39/4*o**2 - 1/2 - 17/4*o - 35/4*o**f - 11/4*o**4 = 0 for o.
-1, -2/11
Let t be (135/(-300))/((-2)/(-16)). Let r = 59/15 + t. What is m in -1/3*m**3 + r*m**5 - 1/3*m**2 + 1/3*m**4 + 0 + 0*m = 0?
-1, 0, 1
Let b(j) be the first derivative of -j**6/24 - j**5/20 + j**4/12 + j**2 - 2. Let p(c) be the second derivative of b(c). Determine h, given that p(h) = 0.
-1, 0, 2/5
Let j(d) = 4*d**3 - 8*d**2 + 2*d + 2. Let a(b) = 8*b**3 - 16*b**2 + 5*b + 3. Let p(w) = 6*a(w) - 13*j(w). Solve p(f) = 0 for f.
-1, 1, 2
Suppose -l**2 - 2*l**4 + l**3 - l**2 + 4*l**2 + l**3 - 2*l**5 = 0. Calculate l.
-1, 0, 1
Suppose 2*f + 2 = -0*f, 0 = -3*s + 3*f + 15. Let u = -2 + s. Solve 3*t**u + 4*t - 2*t - t**2 = 0 for t.
-1, 0
Let h(u) be the second derivative of 1/30*u**4 + 0 - 1/75*u**6 - 1/50*u**5 + 1/15*u**3 + 0*u**2 + 3*u. Factor h(j).
-2*j*(j - 1)*(j + 1)**2/5
Let b = -428 + 431. Find o, given that 7/4*o**4 - 1/2 - 5/4*o**2 - 9/4*o + 9/4*o**b = 0.
-1, -2/7, 1
Solve 3/5*o**4 - 3*o**2 + 9/5*o + 12/5 - 9/5*o**3 = 0.
-1, 1, 4
Let p(b) be the first derivative of 1/6*b**3 - 5/8*b**4 - 3/10*b**5 + 5/4*b**2 - 5 + b. Let p(m) = 0. What is m?
-1, -2/3, 1
Let t = -7 + 5. Let p = 0 - t. Factor -2*o**2 + o**3 - 1 - p*o**2 + 5*o**2 - o.
(o - 1)*(o + 1)**2
Let r = -663 - -33151/50. Let k(b) be the second derivative of -r*b**5 + 0 - 2*b + 0*b**3 + 0*b**2 + 1/30*b**4. Factor k(f).
-2*f**2*(f - 1)/5
Let g(k) be the second derivative of -k**6/4 + k**5/20 + 13*k**4/72 + k**3/18 - 33*k. What is x in g(x) = 0?
-1/3, -1/5, 0, 2/3
Suppose 4*r + 0*r**2 - 2*r + 4*r**2 - 3*r**2 = 0. Calculate r.
-2, 0
Let m(h) be the third derivative of -h**7/42 + h**6/6 - h**5/4 - 66*h**2. What is s in m(s) = 0?
0, 1, 3
Let h be 3/((-12)/(-8)) + (-95)/48. Let j(w) be the second derivative of 1/80*w**5 + 0*w**2 - 1/24*w**3 + h*w**4 + 0 - 1/120*w**6 - 3*w. Factor j(m).
-m*(m - 1)**2*(m + 1)/4
Factor m**2 - 1 + m**2 + 0 - 1.
2*(m - 1)*(m + 1)
Suppose -13*k + 17*k - 16 = 0. Determine i, given that 0 - 3/2*i**2 - 3/2*i**3 - 1/2*i**k - 1/2*i = 0.
-1, 0
Let a(h) be the third derivative of -h**5/270 + h**4/54 - h**3/27 + h**2. Factor a(v).
-2*(v - 1)**2/9
Let t(n) be the third derivative of n**10/30240 + n**9/7560 + n**8/6720 + n**4/8 + 2*n**2. Let x(o) be the second derivative of t(o). Factor x(a).
a**3*(a + 1)**2
Let q(b) be the first derivative of -3*b**5/20 + 5*b**4/4 - 4*b**3 + 6*b**2 - 4*b + 4. Let x(l) be the first derivative of q(l). Suppose x(j) = 0. Calculate j.
1, 2
Let 39/7*s**2 + 3*s**3 - 9/7*s + 3/7*s**4 - 54/7 = 0. Calculate s.
-3, -2, 1
Let p(i) be the third derivative of i**6/180 + i**5/45 + i**4/36 + 8*i**2. Solve p(l) = 0 for l.
-1, 0
Determine x so that 0*x + 0 - 2/5*x**3 - 2/5*x**2 = 0.
-1, 0
Let n(f) be the third derivative of -f**8/672 - f**7/210 + f**6/240 + f**5/60 + 22*f**2. Suppose n(x) = 0. What is x?
-2, -1, 0, 1
Let h(r) be the first derivative of r**5/150 + r**2 - 2. Let l(p) be the second derivative of h(p). Factor l(d).
2*d**2/5
Suppose 0*g**2 + 4*g**2 - 2*g**2 + 20*g + 50 = 0. What is g?
-5
Let o(d) = d**2 + 10*d + 18. Let f be o(-8). Let y(g) be the second derivative of -1/20*g**5 - 1/24*g**3 + 0 + 0*g**f + 3*g - 5/48*g**4. What is j in y(j) = 0?
-1, -1/4, 0
Factor c - 4*c + 10*c**2 - 4 - 4*c**2 - 2*c**4 - 2*c**3 + 5*c.
-2*(c - 1)**2*(c + 1)*(c + 2)
Suppose -6*t = -168 + 12. Let w = -26 + t. Factor -1/4*q**3 - 1/4*q**4 + 1/4*q**2 + 0 + 1/4*q**5 + w*q.
q**2*(q - 1)**2*(q + 1)/4
Determine b so that 2/3*b**2 - 4/3*b + 2/3 = 0.
1
Let i(v) = -v**2 + 6*v - 1. Let a be i(5). Let z(w) be the first derivative of -1/4*w**2 - 3/8*w**a - 1/2*w**3 + 0*w - 1/10*w**5 - 3. Factor z(x).
-x*(x + 1)**3/2
Suppose -4*j + 31 = 5*r - 4, 2*j = -r + 13. Suppose -3*w + 2*y = -16, 4*w - r*y + 4*y = 3. Determine b, given that -w*b + 0*b + b**2 + b = 0.
0, 1
Let s be (300/(-40))/(3/(-10)). Suppose 2*t + 18 = 4*t + 3*j, -4*j + s = 3*t. Find u such that 0*u + 1/5*u**t + 0 - 1/5*u**2 = 0.
0, 1
Factor 26*n**3 - 4*n - 14*n**3 + 9*n**5 - 4*n**2 + 20*n**4 - n**5.
4*n*(n + 1)**3*(2*n - 1)
Let h = -129/7 - -611/21. Let 14/3*u**3 + 22/3*u + h*u**2 + 4/3 = 0. Calculate u.
-1, -2/7
Solve -3/5*o**3 - 1/5*o + 6/5 - 2*o**2 = 0.
-3, -1, 2/3
Let b(g) be the first derivative of 2*g**3/3 - 2*g**2/9 + 17. Solve b(d) = 0 for d.
0, 2/9
Let 0*r**2 - 6/17*r**4 + 0 - 2/17*r**5 + 0*r**3 + 0*r = 0. What is r?
-3, 0
Suppose 0*k**2 + 0 + 2/9*k**4 + 0*k + 4/9*k**3 = 0. Calculate k.
-2, 0
Let y(d) be the third derivative of -d**6/420 - d**5/42 - d**4/21 - 14*d**2 - d. Factor y(k).
-2*k*(k + 1)*(k + 4)/7
Suppose 225*m = 223*m + 6. Factor 2/3*c**2 + 1/3*c + 0 + 1/3*c**m.
c*(c + 1)**2/3
Let k(m) be the first derivative of 1 - 6*m - 3/2*m**2 - 9/16*m**4 + 5/2*m**3. Factor k(s).
-3*(s - 2)**2*(3*s + 2)/4
Let i be (0 - (-2)/(-6))*-6. Suppose 0*j = i*j - 5*u, -4*u = j. Factor -4*c**3 + j*c**3 + 2*c**3.
-2*c**3
Find v such that -2/7*v**5 + 2/7*v**2 + 0 - 4/7*v + 6/7*v**3 - 2/7*v**4 = 0.
-2, -1, 0, 1
Suppose 5 = a + 7. Let d be a*(2 - 0 - 3). Suppose 0 - 1/2*h - 1/2*h**d + 1/2*h**4 + 1/2*h**3 = 0. Calculate h.
-1, 0, 1
Let m(b) be the third derivative of b**7/560 - 3*b**5/160 + b**4/32 - 10*b**2. Determine g so that m(g) = 0.
-2, 0, 1
Let q(g) be the second derivative of 7*g + 3*g**3 - 7/6*g**4 - 2*g**2 + 0. Factor q(v).
-2*(v - 1)*(7*v - 2)
Let y(g) be the third derivative of -4*g**2 + 0*g + 3/100*g**6 + 2/15*g**3 + 1/75*g**5 - 4/525*g**7 + 0 - 3/20*g**4. Solve y(s) = 0 for s.
-1, 1/4, 1, 2
Let u = 19 - 15. Suppose -14*o**3 + 0*o**2 + o**2 - o**u + 14*o**3 = 0. Calculate o.
-1, 0, 1
Factor -8/13 - 10/13*r**2 + 16/13*r + 2/13*r**3.
2*(r - 2)**2*(r - 1)/13
Suppose 0*s + 2/13*s**2 + 2/13*s**4 - 4/13*s**3 + 0 = 0. Calculate s.
0, 1
Determine k, given that -3*k - k + 450*k**2 - 2*k**3 - 444*k**2 = 0.
0, 1, 2
Let g(i) be the second derivative of -2*i**6/105 - i**5/70 + i**4/14 + i**3/21 - i**2/7 + 2*i. Suppose g(b) = 0. What is b?
-1, 1/2, 1
Let r be ((-8226)/(-135))/((-2)/(-3)). Let m = r - 91. Suppose 16/5 + m*v**3 + 12/5*v**2 + 24/5*v = 0. What is v?
-2
Let r(y) be the third derivative of y**9/181440 + y**8/60480 - y**7/15120 - y**6/2160 - y**5/30 - 2*y**2. Let m(i) be the third derivative of r(i). Factor m(w).
(w - 1)*(w + 1)**2/3
Let w(r) be the second derivative of -r**7/4200 - r**3/3 + 5*r. Let u(o) be the second derivative of w(o). Factor u(s).
-s**3/5
Let g(z) be the second derivative of 0 - 7/80*z**5 + z + 0*z**2 - 1/24*z**4 + 0*z**3. Factor g(r).
-r**2*(7*r + 2)/4
Let u(v) = -v**3 - 8*v**2 + 7*v - 16. Let o be u(-9). Determine l so that 0*l**3 + 0 + 0*l + 1/4*l**5 - 1/4*l**4 + 0*l**o = 0.
0, 1
Find j such that 4/3 - 8/3*j + 5/3*j**2 - 1/3*j**3 = 0.
1, 2
Let a(v) be the first derivative of -3 + 0*v - 1/3*v**3 + 1/2*v**2. Factor a(w).
-w*(w - 1)
Suppose -w + 4 = -5. Factor 0*a**2 - w*a**3 + 3*a + 6*a**3 - a**2 + 3*a**4 - 2*a**2.
3*a*(a - 1)**2*(a + 1)
Let p(h) be the second derivative of -h**9/4536 + h**8/2520 + h**3/3 - 2*h. Let i(u) be the second derivative of p(u). Factor i(a).
-2*a**4*(a - 1)/3
Determine z, given that -3*z**5 - 5*z**3 - 6*z**2 - 6*z - 9*z + 6 + 17*z**3 + 6*z = 0.
-2, -1, 1
Let v(l) be the second derivative of 5*l**5/2 - 5*l**4/3 + l**3/3 - 4*l. Find m, given tha