 1)/5
Suppose 0 = 5*t + 2*i + 21, 3*t - 5*i + 6*i = -13. Let p = 7 + t. Let 3/4*w + 0 + 1/4*w**p = 0. What is w?
-3, 0
Suppose -14*w + 28 + 14 = 0. Let h(l) be the first derivative of 1/5*l**5 + 0*l + 5 + 0*l**2 - 2/21*l**w - 5/28*l**4. Factor h(x).
x**2*(x - 1)*(7*x + 2)/7
Suppose -2*p - 9 = -3, 5*u - 4*p - 22 = 0. Solve 2*o**2 + 2*o**u + o**2 - o**2 = 0 for o.
0
Let d be -8 - 0 - (-126 - -115). Factor -2/7*i**d - 8/7*i**2 + 0 - 8/7*i.
-2*i*(i + 2)**2/7
Let u(o) = o**3 + 11*o**2 + 42*o + 323. Let d be u(-10). Suppose 1/5*l**2 + 1/5*l - 1/5 - 1/5*l**d = 0. Calculate l.
-1, 1
Let h be (-72)/27 + 1/(-3). Let t = h + 3. Let t*v - 6/11*v**2 + 0 - 2/11*v**3 = 0. Calculate v.
-3, 0
Let o(v) be the first derivative of -3*v**4/2 + 56*v**3/33 + 7*v**2/11 - 4*v/11 + 279. What is l in o(l) = 0?
-1/3, 2/11, 1
Suppose 12*p = 8*p + 2*h - 234, -4*p + 3*h = 231. Let y be (9/(-4))/(45/p). Factor 2/5*f**y + 16/5*f - 14/5*f**2 + 32/5.
2*(f - 4)**2*(f + 1)/5
Let q(g) = 2*g + 16. Let x be q(-4). Suppose 0*k**4 + 4*k + 4*k**5 + 7*k**2 + k**2 - 4*k**4 - x*k**3 - 4 = 0. Calculate k.
-1, 1
Factor -7941*c**4 + 12*c**2 + 7944*c**4 + 12*c**2 - 12*c - 15*c**3.
3*c*(c - 2)**2*(c - 1)
Solve 16/7*u + 4/7*u**2 + 0 - 2/7*u**3 = 0.
-2, 0, 4
Let b be 4/(-11 + (-8 - -21)). Suppose -9/7*k**4 + 3/7*k**5 + 0 - 6/7*k + 3/7*k**3 + 9/7*k**b = 0. What is k?
-1, 0, 1, 2
Suppose 5*v = -7*r + 3*r - 2, 2*r - 2*v - 8 = 0. What is l in -36 + 40*l**2 - 19*l**r - 25*l**2 - 24*l = 0?
-3
Let t(q) = -3*q**2 - 96*q - 768. Let y(j) = -3*j**2 - 96*j - 768. Let b(u) = 3*t(u) - 2*y(u). Factor b(i).
-3*(i + 16)**2
Find k such that -82/5*k**2 + 0 - 9/5*k**3 + 7/5*k**4 + 24/5*k = 0.
-3, 0, 2/7, 4
Factor -66/7*c - 18/7 + 14*c**3 - 2*c**2.
2*(c - 1)*(7*c + 3)**2/7
Let w(k) be the second derivative of -k**6/15 - 9*k**5/10 - 10*k**4/3 - 4*k**3 + 29*k. What is z in w(z) = 0?
-6, -2, -1, 0
Let y be 14/49 - (-96)/56. Let r(a) be the second derivative of 2*a + 0 + 0*a**3 + 1/20*a**5 + 0*a**y + 1/12*a**4. Solve r(i) = 0 for i.
-1, 0
Solve 10720*c + 53466 + 61782 + 3*c**2 - 11896*c = 0.
196
Factor -30*c**4 - 6*c**2 + 33*c**4 + c**3 - 9*c**2 - 9*c - 4*c**3.
3*c*(c - 3)*(c + 1)**2
Let m(l) be the first derivative of 32*l**2 + 2/3*l**6 - 16*l + 19*l**4 - 28/5*l**5 + 2 - 100/3*l**3. Find f such that m(f) = 0.
1, 2
Suppose -f - 14 = -0*g - 5*g, -2*f - 18 = -5*g. Factor -5*i**3 - 5*i**3 + 5*i**3 + 8*i**g + 3*i**3 - 6*i.
-2*i*(i - 3)*(i - 1)
Let y = 8874 - 8871. Determine l, given that 2/17*l**5 - 8/17 - 10/17*l**y + 8/17*l + 10/17*l**2 - 2/17*l**4 = 0.
-2, -1, 1, 2
Let t(n) = -n**2 + n + 1. Let z(x) = 8*x**2 + 42*x - 10. Let r(s) = 10*t(s) + z(s). Suppose r(g) = 0. Calculate g.
0, 26
Let p(o) = 2*o**2 + 2*o + 1. Let x(d) = -11*d**2 - 15*d - 9. Let v(m) = 5*p(m) + x(m). Find z such that v(z) = 0.
-4, -1
Let b(i) be the second derivative of -i**4/3 + 58*i**3 - 172*i**2 - 50*i + 4. Factor b(w).
-4*(w - 86)*(w - 1)
Factor 17*g - 5*g**2 + 41*g + 0*g**2 - 123*g.
-5*g*(g + 13)
Let v be (11 + -9)*1/(-2) - -1. Suppose v = -4*u - 9 + 21. Find y such that 4/7*y**2 - 4/7*y**u + 0*y + 0 = 0.
0, 1
Let r(b) be the second derivative of 6*b**4 - 12*b**2 - b**5 + 0 - 14/3*b**3 + 3*b. Let r(o) = 0. Calculate o.
-2/5, 1, 3
Let p(o) be the third derivative of o**7/504 + o**6/24 + 3*o**5/8 + o**4/24 + 19*o**2. Let k(j) be the second derivative of p(j). Factor k(q).
5*(q + 3)**2
Let z(i) be the first derivative of -i**3/6 - i**2/2 - 147. Determine j, given that z(j) = 0.
-2, 0
Let n(p) = 2*p**3 - 113*p**2 - 967*p - 5. Let s(h) = -9*h**3 + 453*h**2 + 3867*h + 21. Let m(l) = -21*n(l) - 5*s(l). Suppose m(y) = 0. Calculate y.
-18, 0
Let f(t) = -t**2 + 9*t - 12. Let y be f(7). Factor -30*p - 6*p + 80 - 6*p**2 + 8*p**y + 82.
2*(p - 9)**2
Factor 24*s - 2/5*s**2 - 360.
-2*(s - 30)**2/5
Factor -12*c**4 + 2*c**2 + 8*c**3 + 5*c**3 + 18*c**2 - 8*c + 2*c**3 + c**3.
-4*c*(c - 2)*(c + 1)*(3*c - 1)
Let f = -88376/9 + 9820. Determine w, given that 0 - f*w**2 + 4/3*w = 0.
0, 3
Let r(x) be the third derivative of 4*x**2 + 0*x + 0*x**5 + 0*x**3 + 1/300*x**6 + 0 + 0*x**4. What is y in r(y) = 0?
0
Let d = 3/650 - -158/975. Factor -d*v**3 - 1/6*v**2 + 2/3*v + 2/3.
-(v - 2)*(v + 1)*(v + 2)/6
Let f = -487/30 + 499/30. Suppose -6/5 - f*i**5 - 26/5*i - 44/5*i**2 - 14/5*i**4 - 36/5*i**3 = 0. Calculate i.
-3, -1
Let o be 1/(30/(-4)) - (-15)/((-1050)/(-56)). Suppose -4/3 + 2/3*m + o*m**2 = 0. What is m?
-2, 1
Let p = 652/2877 - 18/137. Let h(s) be the first derivative of -p*s**3 + 0*s - 4/21*s**6 + 6 - 22/35*s**5 + 1/7*s**2 - 9/14*s**4. Factor h(k).
-2*k*(k + 1)**3*(4*k - 1)/7
Factor -8/15*c**2 + 2/3*c - 2/15*c**3 + 0.
-2*c*(c - 1)*(c + 5)/15
Let q(x) be the third derivative of 2/5*x**3 + 0*x**5 + 0 - 7*x**2 + 0*x - 1/100*x**6 + 3/20*x**4. Solve q(j) = 0 for j.
-1, 2
Let p(m) be the second derivative of m**6/105 - m**5/70 - m**4/21 - 3*m + 68. Solve p(g) = 0 for g.
-1, 0, 2
Let d(n) be the first derivative of -n**6/16 + 9*n**5/40 + 45*n**4/32 + 17*n**3/8 + 9*n**2/8 - 17. Factor d(j).
-3*j*(j - 6)*(j + 1)**3/8
Let k(d) = d**2 - 1. Let s(w) = -9*w**2 + 10*w + 4. Suppose -3*a + 5 = -h, -2*h - 5*a + 11 + 1 = 0. Let u(v) = h*s(v) + 4*k(v). Factor u(m).
-5*m*(m - 2)
Find b, given that 13*b**2 + 12*b**2 + 0*b + 2*b + 6*b**2 = 0.
-2/31, 0
Let f be -1 - (-3 + 1)/((-40)/(-1940)). Let w = f - 94. Solve 4/21*d**3 + 10/21*d**4 + 0*d**w + 0 + 0*d + 2/7*d**5 = 0.
-1, -2/3, 0
Let d be 26/(-195) + 4/3. Determine x so that -2/5*x**3 - 2*x**2 - 14/5*x - d = 0.
-3, -1
Let x(k) be the second derivative of -4/15*k**6 + 39*k - 1/21*k**7 + 0*k**2 + 0 + 4/3*k**3 + 2/3*k**4 - 3/10*k**5. What is m in x(m) = 0?
-2, -1, 0, 1
Let n(k) be the first derivative of k**4/36 - 26*k**3/27 + 169*k**2/18 - 211. Suppose n(s) = 0. What is s?
0, 13
Factor -2/3*i**5 - 20/3 - 128/3*i**2 - 82/3*i - 28/3*i**4 - 92/3*i**3.
-2*(i + 1)**4*(i + 10)/3
Let g be (-4)/1 - (-2106)/520. Let x(u) be the third derivative of 1/336*u**8 - 1/42*u**7 + 0*u + 0*u**4 + 7/120*u**6 + 0*u**3 + u**2 + 0 - g*u**5. Factor x(d).
d**2*(d - 3)*(d - 1)**2
Let c be (-468)/(-390)*(2 + (-15)/9). Factor -6/5*o**2 + 4/5 - 2/5*o + c*o**3 + 2/5*o**4.
2*(o - 1)**2*(o + 1)*(o + 2)/5
Factor 12/17*v**2 - 2/17*v**3 + 0 - 10/17*v.
-2*v*(v - 5)*(v - 1)/17
Suppose 5*i + 22*w - 22 = 21*w, 5*i - 26 = -3*w. Find z such that 3/4*z**i + 2 + 7/4*z**3 - 3/2*z**2 - 3*z = 0.
-2, 2/3, 1
Let x(z) = -3*z**3 + 106*z**2 - 480*z - 1438. Let s(i) = i**3 - 2*i**2 + 1. Let d(q) = 2*s(q) - x(q). Factor d(a).
5*(a - 12)**2*(a + 2)
Let y(p) be the second derivative of -p**7/56 + 11*p**6/40 + 39*p**5/80 - 11*p**4/16 - 3*p**3/2 + 29*p - 7. Let y(r) = 0. What is r?
-1, 0, 1, 12
Let d(z) be the second derivative of -1/2*z**2 - 26*z - 1/5*z**3 - 1/60*z**4 + 0. Factor d(h).
-(h + 1)*(h + 5)/5
Let g = 761/1173 + 7/391. Let q(d) be the first derivative of 0*d + g*d**3 + 0*d**2 - 1/4*d**4 + 2. Determine k, given that q(k) = 0.
0, 2
Let n(o) be the first derivative of 28*o**3/3 - 80*o**2 - 48*o - 84. Suppose n(u) = 0. Calculate u.
-2/7, 6
Let i(q) be the first derivative of -1/8*q**3 + 3/4*q**2 - 5 + 7*q - 1/16*q**4. Let r(l) be the first derivative of i(l). Factor r(v).
-3*(v - 1)*(v + 2)/4
Let i(h) be the second derivative of -h**4/3 - 16*h**3 + 50*h**2 - 174*h. Suppose i(c) = 0. Calculate c.
-25, 1
Let y(n) be the third derivative of -n**5/160 + n**4/4 - 6*n**2 + 2*n. Factor y(m).
-3*m*(m - 16)/8
Let c = -4 - -8. Factor -c*r - 2*r**2 - 350*r**3 + 7 + 351*r**3 + 1.
(r - 2)**2*(r + 2)
Let t = 157/4 + -39. Suppose 2*i + 8 = -4*q, -211*i - 2*q - 4 = -208*i. Factor i - t*p + 1/4*p**2.
p*(p - 1)/4
Let -16/3*x**2 - 2 + 22/3*x = 0. What is x?
3/8, 1
Let k(q) = -26*q**2 + 5*q - 4. Let z be k(2). Let w = z - -101. Factor 0 + 1/4*h**4 + 1/4*h**2 - 1/2*h**w + 0*h.
h**2*(h - 1)**2/4
Let j be 2/(-3) + 235/(-120) + 3. Let a(v) be the first derivative of -1/2*v**3 - 3/16*v**4 - 6 - j*v**2 + 0*v. Determine t so that a(t) = 0.
-1, 0
Let v(u) be the second derivative of -u**7/6300 + u**6/900 + 5*u**4/4 + 9*u. Let b(c) be the third derivative of v(c). Factor b(q).
-2*q*(q - 2)/5
Suppose g = -g + 4. Factor -18*v**2 + 6*v**2 - 9 - 6*v + 11*v**g.
-(v + 3)**2
Let s(l) be the second derivative of l**4/36 - l**3/3 - 7*l**2/6 + 168*l. Factor s(g).
(g - 7)*(g + 1)/3
Suppose 4*m + 3*f - 20 = 0, -f + 12 = -2*m +