*q. Let s = -28 + m. Suppose -90*i**4 + 55*i**s + 40*i**5 + 16*i - 13*i - 8*i = 0. Calculate i.
-1/4, 0, 1/2, 1
Factor -106/15 - 104/15*y + 2/15*y**2.
2*(y - 53)*(y + 1)/15
Suppose -9*s = -7 - 11. Suppose 3 - 3 = s*d. Solve -3/4*l**3 + 0 + d*l + 3/2*l**2 = 0 for l.
0, 2
Let o(x) be the first derivative of 8/3*x**3 - 1/3*x**6 - 4/5*x**5 + x**4 - 4*x - x**2 - 3. Find a such that o(a) = 0.
-2, -1, 1
Let d(v) be the second derivative of -13/6*v**2 + 2/3*v**3 - 44*v + 0 + 1/36*v**4. Suppose d(a) = 0. What is a?
-13, 1
Let i(j) be the second derivative of -j**5/60 + 37*j**4/36 - 323*j**3/18 - 361*j**2/6 + 41*j - 1. Factor i(w).
-(w - 19)**2*(w + 1)/3
Let f(v) = 3*v**2 - v. Let h(j) = 16*j**2 - 5*j + 1. Suppose -4*p = -39 - 9. Suppose -p = -m - m. Let t(i) = m*h(i) - 33*f(i). What is d in t(d) = 0?
-1, 2
Let p(j) = -j**2 + 24*j - 2. Let v(a) = -a**2 + 20*a + 1. Let x(h) = -5*p(h) + 6*v(h). Factor x(g).
-(g - 4)*(g + 4)
Suppose 0 = -5*o + 76 - 11. Find i, given that -3*i**4 + 5*i**3 + o*i - i**4 + 2*i + 25*i**2 - i**4 = 0.
-1, 0, 3
Suppose 14*l - 54 = 30. Let p(y) be the second derivative of 0 - 1/30*y**6 + 0*y**2 + l*y - 1/6*y**4 + 0*y**3 - 3/20*y**5. Solve p(o) = 0 for o.
-2, -1, 0
Suppose 7*t - 4*t = q - 47, -q = -2. Let k be (-21)/t + -1 + 0. Factor 2/5*m**3 - k*m**5 + 2/5*m**4 + 0*m - 2/5*m**2 + 0.
-2*m**2*(m - 1)**2*(m + 1)/5
Suppose -4 + 55 = -3*a - 3*m, -6 = -2*m. Let s be (6/5)/(a/(-250)). Factor s - 2*x**3 + x**5 + x - 15 + 0*x**3.
x*(x - 1)**2*(x + 1)**2
Suppose -17 = -6*o + 7. Suppose 0 = -u - 2*q - o, 3*u - 5*q - 10 = 2*u. Factor 2/9*s**2 + 0*s + 2/9*s**3 + u.
2*s**2*(s + 1)/9
Suppose -d + 20 = 4*d. Let -88*r**4 + 56*r**d + 14*r**5 + 5*r**3 + 3*r**3 = 0. Calculate r.
0, 2/7, 2
Let q(k) = -8*k**2 - 2*k - 3. Let v be q(-2). Let f = v + 39. Factor -24 + 8 + 12 - f*n - 4*n**2.
-4*(n + 1)**2
Let n(r) be the third derivative of -1/15*r**5 - 10*r**2 + 0*r**3 - 1/30*r**6 + 0 + 0*r**4 + 0*r. Let n(p) = 0. What is p?
-1, 0
Suppose -5*q = -6*q. Suppose -2*n + 1 + 3 = q, 0 = 2*c - 2*n - 2. Factor 42/13*p**2 - 18/13*p**c - 32/13*p + 8/13.
-2*(p - 1)*(3*p - 2)**2/13
Suppose 5/2*t + 0*t**4 + 0*t**2 + 0 - 5*t**3 + 5/2*t**5 = 0. What is t?
-1, 0, 1
Let v(u) be the first derivative of -3*u**4/4 + 30*u**3 - 675*u**2/2 + 17. Factor v(a).
-3*a*(a - 15)**2
Let p(d) be the second derivative of 1/3*d**4 + 2*d + 0 - 10/7*d**3 - 1/35*d**5 + 18/7*d**2. Let p(c) = 0. What is c?
1, 3
Let g be (-1584)/(-120) - 1 - 5. Determine f, given that -2/5*f**4 - 216/5*f**2 - g*f**3 - 432/5*f + 0 = 0.
-6, 0
Let s(q) be the first derivative of 15*q**4 - 68*q**3/3 + 4*q**2 + 30. Let s(y) = 0. What is y?
0, 2/15, 1
Let d(p) = 2*p**2 - 10 - 8 - 2 - 6*p. Let x(h) = -6*h**2 + 19*h + 62. Let q(s) = -7*d(s) - 2*x(s). Determine g, given that q(g) = 0.
-2, 4
Factor 94/23*p - 88/23*p**2 - 24/23 - 8/23*p**3.
-2*(p + 12)*(2*p - 1)**2/23
Let v = -17 - -29. Suppose -5*q - m + v = 0, -2*m - 3 = 4*q - 9. Determine i so that -i**5 + i**5 - 12*i**4 - q*i**5 - 5*i**3 - 10*i**3 - 6*i**2 = 0.
-2, -1, 0
Let j(h) be the first derivative of -4*h**3/15 - 18*h**2/5 - 72*h/5 + 50. Factor j(n).
-4*(n + 3)*(n + 6)/5
Let j be (-30 - -30)*2/(-14). Let i(t) be the first derivative of j*t + 0*t**2 + 6 + 3/20*t**4 - 2/5*t**3. Find m, given that i(m) = 0.
0, 2
Suppose 3*q**2 - 131*q + 142*q - 2 + 0*q**2 - 12*q**2 = 0. Calculate q.
2/9, 1
Let y(z) be the first derivative of 1/2*z**4 - 10/3*z**3 + 4*z**2 - 29 + 0*z. Factor y(o).
2*o*(o - 4)*(o - 1)
Let o(c) = 5*c**2 - 148*c + 976. Let b(j) = -20*j**2 + 590*j - 3905. Let f(h) = -4*b(h) - 15*o(h). Factor f(t).
5*(t - 14)**2
Let l be 34/50 - 2/(10/1). Let b(h) be the second derivative of -l*h**5 + 0 + 0*h**3 - 13*h + 4/25*h**6 + 0*h**4 + 0*h**2 - 1/70*h**7. Factor b(c).
-3*c**3*(c - 4)**2/5
Let a be (-12)/(-24)*4/1. Determine d, given that -2*d + a*d - 2*d**2 + 5 - 3*d**2 = 0.
-1, 1
Let t(c) = -7*c**2 + 41*c - 36. Let k(m) = 20*m**2 - 120*m + 109. Let p(b) = -6*k(b) - 17*t(b). Find a such that p(a) = 0.
2, 21
Let q(l) = 55*l + 185. Let z = -38 + 33. Let u(o) = -o**2 - o + 1. Let x(r) = z*u(r) + q(r). Factor x(f).
5*(f + 6)**2
Let w(a) = 10*a**2 + 168*a - 12. Let q(y) = -22*y**2 - 340*y + 26. Let n(o) = 6*q(o) + 13*w(o). Find v such that n(v) = 0.
0, 72
Let l(f) be the third derivative of -f**7/280 - f**6/30 - f**5/10 + 5*f**3/3 + 6*f**2. Let z(d) be the first derivative of l(d). Factor z(b).
-3*b*(b + 2)**2
Factor 132 + 12*s - 21*s**2 - 84 + 3*s**3 + 12*s.
3*(s - 4)**2*(s + 1)
Let h = -4318 + 4320. Determine d, given that -2/7*d**h + 12/7*d - 18/7 = 0.
3
Let r be (-4 - -7)*(-12)/(-9). Factor m**3 + 4*m**4 + 2*m**3 + 2*m**4 - 3*m**r.
3*m**3*(m + 1)
Let w(f) be the first derivative of -f**3 - 3/2*f**2 + 0*f - 7. Find m, given that w(m) = 0.
-1, 0
Let j(p) = -p**2 + p + 1. Let d be j(0). Suppose -b + 13 = d. Suppose -1 + 69*u**4 + 60*u**2 + 24*u - b*u**5 - 126*u**3 + 1 = 0. What is u?
-1/4, 0, 2
Let i(m) be the second derivative of 0 + 0*m**3 + 7*m + 5/2*m**2 + 1/105*m**5 - 1/420*m**6 - 1/84*m**4. Let a(y) be the first derivative of i(y). Factor a(n).
-2*n*(n - 1)**2/7
Let a(r) be the first derivative of -2*r**5/25 - 27*r**4/5 - 1226*r**3/15 + 3132*r**2/5 - 6728*r/5 + 790. Suppose a(p) = 0. What is p?
-29, 2
Suppose -78*o + 77*o + 3 = 0. Suppose -o*z + 0 - 4 = -n, 4*z - n + 4 = 0. Find f, given that 2/17*f**5 + z*f**2 + 2/17*f**3 + 0 + 4/17*f**4 + 0*f = 0.
-1, 0
Let a(o) = o**2 - 8*o. Let d be a(8). Let x be 4 + d - (-64)/(-18). Suppose 0 - 2/9*v + x*v**2 - 2/9*v**3 = 0. Calculate v.
0, 1
Factor 0*t + 0*t**2 + 0 - 4/9*t**3 + 22/3*t**4.
2*t**3*(33*t - 2)/9
Let v = 7760 - 7758. Solve -3/5*t**4 + 0*t + 6/5*t**3 - 3/5*t**v + 0 = 0 for t.
0, 1
Factor -12*m - 17*m**2 - 3*m**3 + 2*m**2 + 109 - 109.
-3*m*(m + 1)*(m + 4)
Suppose -5*p + 8 + 12 = 0. Let d(c) = -2 - c**2 - 8*c - c**2 + 9. Let i(x) = -3*x**2 - 8*x + 6. Let g(h) = p*d(h) - 6*i(h). What is z in g(z) = 0?
-2, 2/5
Suppose 32*j - 33*j = 5. Let r be 1/((-2 - 23)/j). Let 0 - 2/5*d - r*d**2 = 0. What is d?
-2, 0
Let y = 26909 + -26907. Solve -5/2*n**3 + y + 1/2*n**4 + 2*n + 1/2*n**5 - 5/2*n**2 = 0.
-2, -1, 1, 2
Let d be (4 - 11) + -1*1. Let l be ((0 - d) + -8)/(0 - -3). Factor -2/9*z**3 + 2/9*z**2 + 0*z + l.
-2*z**2*(z - 1)/9
Let l(u) = 2*u**3 + 28*u**2 + 88*u + 58. Let q(y) = -8*y**3 - 112*y**2 - 353*y - 231. Let x(s) = -18*l(s) - 4*q(s). Suppose x(d) = 0. What is d?
-10, -3, -1
What is l in 4/3*l**3 + 80*l**2 + 156*l + 232/3 = 0?
-58, -1
Suppose -2*x = 235 - 231, 3*j + 5*x + 4 = 0. Factor 2 - 4/3*y - 2/3*y**j.
-2*(y - 1)*(y + 3)/3
Let m(n) be the second derivative of -n**6/220 + 2*n**5/165 - n**4/132 - 7*n**2/2 + 13*n. Let f(g) be the first derivative of m(g). Find p, given that f(p) = 0.
0, 1/3, 1
Let q be 1/12 + (44/(-48))/11. Solve 2/5*k**3 + 0*k + q + 0*k**2 = 0 for k.
0
Factor -4*g**5 - 27*g**3 + 4*g**4 + 13*g**3 + 5*g + 3*g**5 + 10*g**3 - 2*g**2 - 2.
-(g - 2)*(g - 1)**3*(g + 1)
Let s = -28270 + 28270. Find v, given that s*v + 0*v**3 + 0 - 1/4*v**2 + 1/4*v**4 = 0.
-1, 0, 1
Let n(u) = u**3 - 6*u**2 + 1. Let g(l) = -l**2 + l + 1. Let t(b) = -3*g(b) + n(b). Let h be t(4). Suppose 1/2*m**h - 1 - 1/2*m = 0. Calculate m.
-1, 2
Suppose x - 7 = -3. Let z(p) = -p**2 + 30*p - 144. Let v be z(24). Solve 1/3*b**3 - 1/3*b**5 + 1/3*b**2 + v*b + 0 - 1/3*b**x = 0.
-1, 0, 1
Let s(z) be the third derivative of -121*z**5/12 - 55*z**4/6 - 10*z**3/3 - 42*z**2. Factor s(i).
-5*(11*i + 2)**2
Let w(q) be the second derivative of -7*q**7/36 - 133*q**6/90 + 71*q**5/40 + 121*q**4/36 - 41*q**3/9 + 2*q**2 + 52*q. Solve w(g) = 0 for g.
-6, -1, 2/7, 1
Suppose -14 = -2*k - o + 14, -2*k = -3*o - 20. Let -11 + 1 - k*c**2 + 15*c + 8*c**2 = 0. Calculate c.
1, 2
Let n = 61387/76715 - 3/15343. Factor n + 1/5*w**3 - 4/5*w**2 - 1/5*w.
(w - 4)*(w - 1)*(w + 1)/5
Factor -7*u - 4 + 77/2*u**2 + 10*u**3.
(u + 4)*(4*u + 1)*(5*u - 2)/2
Suppose s = -20 + 23. Factor c**5 - 3 - 8*c**2 + 8*c**s + 4*c**5 - 1 - c**5 + 12*c**4 - 12*c.
4*(c - 1)*(c + 1)**4
Let x(p) be the second derivative of 13*p - 1/40*p**5 - 7/24*p**4 - 5/4*p**3 - 9/4*p**2 + 0. Factor x(y).
-(y + 1)*(y + 3)**2/2
Let r(d) be the second derivative of -171/10*d**6 - 4*d**3 + 9/2*d**7 + 279/20*d**5 - 7/12*d**4 + 0 + 2*d**2 + 23*d. What is a in r(a) = 0?
-2/7, 1/3, 2
Suppose s - 4*k = -s - 88, 4*s + 4*k 