 Solve y(p) = 0 for p.
-5/4, -1, 1
Determine f so that -3*f**2 - 1 + 1 + f**3 + 0 = 0.
0, 3
Suppose -80*v - 32 + 8*v**3 - 56*v**2 + 16*v**4 + 0*v**5 - 3*v**3 + 4*v**5 - v**3 = 0. Calculate v.
-2, -1, 2
Let h(f) be the third derivative of -f**6/40 + f**5/10 + f**2. Solve h(d) = 0 for d.
0, 2
Let j = 118 + -70. Factor -7*m**2 + 38 + j*m + 5*m**4 - m**4 - m**2 - 2 - 16*m**3.
4*(m - 3)**2*(m + 1)**2
Let 6/5*w + 0 + 2/5*w**3 - 8/5*w**2 = 0. Calculate w.
0, 1, 3
Factor -10*x**4 + 9 - 2*x**5 - 14*x**2 - 4*x - 18*x**3 - 9.
-2*x*(x + 1)**3*(x + 2)
Let 0 + 2/3*v**4 + 4/3*v**3 - 2/3*v**2 - 4/3*v = 0. What is v?
-2, -1, 0, 1
Suppose -7 = -5*d + 2*m + 12, -2*d + 3*m + 1 = 0. Let 1/2*o**4 + 5/4*o + 5/4*o**d - o**2 + 1/2 - 5/2*o**3 = 0. What is o?
-1, -2/5, 1
Let l = 8/37 - 68/999. Let z(t) be the second derivative of 0 + 1/54*t**4 + l*t**3 + 4/9*t**2 - t. Factor z(y).
2*(y + 2)**2/9
Let l(k) be the third derivative of 1/168*k**8 + 0*k**7 + 0*k + 0*k**5 - 1/30*k**6 + 0 + 0*k**3 + 2*k**2 + 1/12*k**4. Suppose l(r) = 0. Calculate r.
-1, 0, 1
Let h(r) = -r**3 - 2*r**2 + 4*r + 1. Let c be h(-3). Let m be 8/12 + c/3. Factor -3*g**4 - 2*g - 3*g**2 - 6*g**3 + m*g**4 + 2*g.
-3*g**2*(g + 1)**2
Factor -1/5*u**3 + 2/5*u**2 - 2/5 + 1/5*u.
-(u - 2)*(u - 1)*(u + 1)/5
Let s(o) = -o**2 + 2. Let b be s(0). Factor -t**b - 1 + 0 - t - t.
-(t + 1)**2
Let o(u) be the second derivative of u**6/240 - u**4/16 + u**3 - 5*u. Let z(g) be the second derivative of o(g). Factor z(m).
3*(m - 1)*(m + 1)/2
Let q = -7 + 22. Let o be ((-6)/(-4))/(q/20). Factor 16/5*u**4 + 4/5*u**o - 14/5*u**3 - 6/5*u**5 + 0*u + 0.
-2*u**2*(u - 1)**2*(3*u - 2)/5
Find k, given that 0 + 2/5*k**2 - 2/5*k = 0.
0, 1
Let c be (-19)/(-133)*(1 + 1). Let d be (-2)/((-4)/(-2))*0. Factor 0 + d*a + 0*a**2 + 2/7*a**4 - c*a**3.
2*a**3*(a - 1)/7
Let n(c) = -c**2 - 6*c + 1. Let u(j) = 3*j**2 + 13*j - 1. Let d(m) = 15*n(m) + 6*u(m). Determine l so that d(l) = 0.
1, 3
Suppose 946 - 211 = -3*b. Let f be (-2)/(-7) + 21/b. Suppose f*k + 0 + 1/5*k**2 = 0. What is k?
-1, 0
Let o(a) be the first derivative of 2*a**3/5 + 2*a**2/5 - 15. Determine l, given that o(l) = 0.
-2/3, 0
Let x(l) = l**2 - 7*l + 9. Let r be x(8). Let f = -4 + r. Factor 17*m**3 + 7/2*m**5 - 8*m**2 + 1 - 1/2*m - f*m**4.
(m - 1)**4*(7*m + 2)/2
Let m = 5 + -3. Factor 3*s + 0*s**2 - 4*s**2 + s**m + 0*s**2 + 6.
-3*(s - 2)*(s + 1)
Let y(i) be the first derivative of -2*i**5/75 + i**4/15 - 2*i**2/15 + 2*i/15 - 7. Let y(t) = 0. Calculate t.
-1, 1
Let j(k) be the third derivative of 1/30*k**5 - 1/105*k**7 - 1/168*k**8 + 1/60*k**6 + 0 + 0*k**3 + 0*k**4 + 0*k + 6*k**2. What is g in j(g) = 0?
-1, 0, 1
Suppose 19 = 4*i - 1. Determine b, given that 0*b**5 + 9*b**3 + 3*b**2 + 12*b**2 + 12*b + 9*b**2 - 3*b**i - 6*b**4 = 0.
-2, -1, 0, 2
Let f be (-3)/(-21)*14/(-12)*-16. Determine b, given that -2/3*b**3 - f*b + 0 + 8/3*b**2 = 0.
0, 2
Let k be (-16)/(-60)*18/80. Let a(p) be the second derivative of 0*p**3 + 0 + k*p**5 - 2/75*p**6 + 1/15*p**4 - 1/35*p**7 + 0*p**2 + p. Solve a(g) = 0.
-1, -2/3, 0, 1
Let m = -8 - -11. Let v = m + -1. What is i in -3*i**3 - v*i**3 + i**3 - 2 + 6*i**2 = 0?
-1/2, 1
Factor -2/13*f**4 - 4/13*f + 0*f**2 + 4/13*f**3 + 2/13.
-2*(f - 1)**3*(f + 1)/13
Suppose 5*p + 27 = 8*p. Let r(u) = 8*u**3 - 7*u**2 + 9. Let s(n) = 2*n**3 - 2*n**2 + 2. Let h(v) = p*s(v) - 2*r(v). Determine q so that h(q) = 0.
0, 2
Let h(x) = x**2 - 5. Let f be h(0). Let a be 1/(f/13) + 3. Suppose 0*k + 4/5*k**2 - 2/5*k**4 - a + 0*k**3 = 0. What is k?
-1, 1
Let a(z) be the third derivative of 1/6*z**3 + 0*z - 1/120*z**6 + 1/24*z**4 - 1/60*z**5 - 2*z**2 + 0. Factor a(k).
-(k - 1)*(k + 1)**2
Let h(f) be the first derivative of -f**6/3 + 4*f**5/5 - 4*f**3/3 + f**2 + 6. Determine a, given that h(a) = 0.
-1, 0, 1
Let 1 + 5/2*w + 1/2*w**3 + 2*w**2 = 0. Calculate w.
-2, -1
Let z(l) be the second derivative of -l**5/4 + 5*l**4/12 + 5*l**3/6 - 5*l**2/2 + 9*l. Find j, given that z(j) = 0.
-1, 1
Let z = 16 + -31/2. Find k, given that 0 + z*k**4 + k**3 + 0*k + 1/2*k**2 = 0.
-1, 0
Let x be 0*(-3 - -1 - -1). Factor x + 0*k + 1/3*k**4 - 1/3*k**3 - 2/3*k**2.
k**2*(k - 2)*(k + 1)/3
Let x = 8 - 6. Suppose -j**3 - 7*j**5 + 6*j**5 + x*j**5 = 0. What is j?
-1, 0, 1
Let b(y) = 8*y**4 + 8*y**3 - 6*y**2 + 6*y. Let a(x) = x**4 + 3*x**3 + 3*x - 2*x - 2*x**3 - x**2. Let v(o) = -6*a(o) + b(o). Determine p so that v(p) = 0.
-1, 0
Let n(v) be the second derivative of v**7/420 - v**5/40 + v**4/24 - 2*v**2 + 6*v. Let m(y) be the first derivative of n(y). Factor m(r).
r*(r - 1)**2*(r + 2)/2
Find n, given that -2/13*n - 4/13 + 2/13*n**2 = 0.
-1, 2
Let f be -2 + 2 - (4 + -1). Let w be -1 + 7 + f + -1. Determine i, given that 1/3*i**w - 2/3*i + 1/3 = 0.
1
Let y(g) be the first derivative of g**6/2 + 3*g**5/5 - 9*g**4/4 - g**3 + 3*g**2 - 8. Factor y(c).
3*c*(c - 1)**2*(c + 1)*(c + 2)
Determine u, given that 4/3*u**2 - 8/3 + 4/3*u = 0.
-2, 1
Factor 0 + 1/6*k**5 - 1/2*k**3 - 1/6*k**4 - 1/3*k + 5/6*k**2.
k*(k - 1)**3*(k + 2)/6
Factor 5*s**2 - 3*s**3 + 2*s - s**4 - 2*s**2 - 6*s**4 - 3*s**5.
-s*(s + 1)**3*(3*s - 2)
Determine i, given that -1 + 405*i + i**2 - 405*i = 0.
-1, 1
Let f(n) be the first derivative of 0*n**3 + 1/6*n**2 - 1/12*n**4 - 4 + 0*n. Factor f(z).
-z*(z - 1)*(z + 1)/3
Let p(c) be the second derivative of 0*c**4 + 1/30*c**6 + 0 - 1/84*c**7 + 0*c**3 - 1/40*c**5 + 4*c + 0*c**2. Factor p(a).
-a**3*(a - 1)**2/2
Let a be (1*3)/(36/16). Factor 4*s + 3 + 1/3*s**4 - 2/3*s**2 - a*s**3.
(s - 3)**2*(s + 1)**2/3
Determine h, given that 298*h - 131*h**2 - 69*h**2 - 418*h - 18 = 0.
-3/10
Suppose 5*d = -5*j - 60, 3*d - 2*j + 2 = -24. Let r = d + 94/9. Determine g so that r + 2/9*g**2 + 2/3*g = 0.
-2, -1
Suppose -2*q = 4*u + q - 2, -2*u + 3*q - 8 = 0. Let n be u + 4 + (-51)/21. Find p such that n + 18/7*p**2 + 18/7*p = 0.
-2/3, -1/3
Let j(c) be the second derivative of c**6/36 + 5*c**5/24 + 35*c**4/72 + 5*c**3/12 + 13*c. Solve j(a) = 0 for a.
-3, -1, 0
Let j be -9 + 5 + 10/2. Suppose j + 3 = 2*a. Factor -2*b**a + 0*b + 5/2*b**4 - 4*b**3 + 0.
b**2*(b - 2)*(5*b + 2)/2
Suppose -32*v = -33*v. Let n(q) be the first derivative of 0*q**2 - 2/9*q**3 - 1/3*q**6 + v*q + 2/3*q**5 - 1/6*q**4 + 2. Factor n(d).
-2*d**2*(d - 1)**2*(3*d + 1)/3
Let z = -106469786569/1885 - -56482647. Let j = -2/377 + z. Factor -8/5*i + j + 2/5*i**2.
2*(i - 2)**2/5
Let c(q) be the second derivative of q**4/90 + 2*q**3/45 + q**2/15 - 25*q. What is a in c(a) = 0?
-1
Let f(j) be the third derivative of -j**8/1512 + j**6/135 + j**5/135 - j**4/36 - 2*j**3/27 - 7*j**2. Let f(l) = 0. What is l?
-1, 1, 2
Let g(z) be the second derivative of -z**5/110 + z**3/11 - 2*z**2/11 - z. Find x such that g(x) = 0.
-2, 1
Let y be (-6)/(-2) - (-1859)/(-624). Let z(f) be the third derivative of 1/240*f**6 + 1/60*f**5 + 0*f + 0*f**3 + 0 + y*f**4 + 2*f**2. Solve z(k) = 0 for k.
-1, 0
Let u be 80/(-12) - 0 - -8. Factor 16/3*q + 16/3*q**2 + 0 + u*q**3.
4*q*(q + 2)**2/3
Suppose 0 = -x + 3*j + 11, -3*x + 6*x = -4*j + 59. Let p be x/17 + (-4)/6. Factor g**2 + 1/3*g**3 + p + g.
(g + 1)**3/3
Let r(c) be the third derivative of -c**8/84 - 4*c**7/105 + c**6/30 + 2*c**5/15 + 2*c**2. Solve r(l) = 0.
-2, -1, 0, 1
Let w(x) be the third derivative of -2*x**7/525 + x**6/75 - x**4/15 + 2*x**3/15 - 11*x**2. Factor w(d).
-4*(d - 1)**3*(d + 1)/5
Let p be 34/6 - (-2)/(-3). Suppose -p*w + 11 + 14 = 0. What is s in s**3 - s**4 - s**4 + 2*s**5 + w*s**3 - 10*s**3 = 0?
-1, 0, 2
Let d be (-1)/((-15)/(-6)) + 56/90. Factor 0 - 2/9*o**2 + 0*o - 2/9*o**3 + 2/9*o**4 + d*o**5.
2*o**2*(o - 1)*(o + 1)**2/9
Let o(h) = -12*h + 12. Let b(c) = c**2 + 11*c - 12. Let q(k) = -3*b(k) - 4*o(k). Factor q(v).
-3*(v - 4)*(v - 1)
Let m(k) = 3*k**3 - 4*k**2 - 2*k + 5. Let d(n) = -2*n**3 + 2*n**2 + n - 3. Let f(y) = 10*d(y) + 6*m(y). Factor f(z).
-2*z*(z + 1)**2
Let b(i) be the third derivative of i**6/840 + i**5/420 - i**4/84 - i**2. Find c such that b(c) = 0.
-2, 0, 1
Let n = 1193 + -95439/80. Let u(q) be the second derivative of -2*q - 1/60*q**6 + 1/24*q**4 + 0 + 0*q**2 - n*q**5 + 1/24*q**3. Factor u(a).
-a*(a - 1)*(a + 1)*(2*a + 1)/4
Let h = 344/15 + -113/5. Factor -1/3*m**2 - h - 2/3*m.
-(m + 1)**2/3
Let o be (4/(-10))/(4/(-24)). Suppose 3*x = x + f + 3, 0 = -5*x + 5*f. Let -8/5*m**2 + o*m**x - 8/5*m**4 + 2/5*m**5 + 0 + 2/5*m = 0. C