4/5 + 56*x**3/5 + 72*x**2 - 160*x - 182. Factor m(o).
-4*(o + 2)*(7*o - 10)**2/5
Let f(j) be the first derivative of 3*j**5/25 - 3*j**4/5 + j**3 - 3*j**2/5 - 70. Factor f(c).
3*c*(c - 2)*(c - 1)**2/5
Let b = -3135 - -3138. Factor 5/3*r**b - 5*r**2 + 0 + 0*r.
5*r**2*(r - 3)/3
Let v(u) = -145*u + 875. Let g be v(6). Suppose 0*d**3 + 0*d + 0*d**2 - 3/8*d**g + 0 - 3/8*d**4 = 0. What is d?
-1, 0
Let n(v) = -v. Let j(a) = 2*a**2 - 2*a - 14. Suppose 4*t - 5*w - 18 = 0, 0 = 2*t - 0*w + 3*w + 2. Let m(b) = t*j(b) + 20*n(b). Let m(h) = 0. What is h?
-1, 7
Let b(h) = h**3 + 2*h**2 - 84*h - 300. Let j be b(-4). Factor 0 + 0*r**3 + 1/4*r**2 - 1/4*r**j + 0*r.
-r**2*(r - 1)*(r + 1)/4
Let d(p) be the first derivative of -3*p**4/8 + 6*p**3 + 3*p**2/4 - 18*p - 59. Factor d(o).
-3*(o - 12)*(o - 1)*(o + 1)/2
Let g = -162 + 168. Suppose -g*i = -0*i - 18. Suppose 2/3*u**2 - 1/3*u - 1/3*u**i + 0 = 0. What is u?
0, 1
Let k = 13556/9 + -1506. Let -k + 2/9*q**2 - 1/9*q + 1/9*q**3 = 0. What is q?
-2, -1, 1
Let m(a) = a**4 + 23*a**3 + 47*a**2 + 25*a - 2. Let g(k) = -k**4 + k**3 + k**2 - k - 1. Let x = 42 + -40. Let h(z) = x*g(z) - m(z). Let h(n) = 0. Calculate n.
-3, -1, 0
Let b be 140/(-50) + 2107/490. Factor 2*k - 1/2*k**2 - b.
-(k - 3)*(k - 1)/2
Factor -4/5*i**5 + 8*i**3 + 0*i + 12/5*i**4 + 0*i**2 + 0.
-4*i**3*(i - 5)*(i + 2)/5
Suppose 5*l - 4*l + z - 111 = 0, z = -3*l + 331. Let p = l + -101. Determine c, given that 21/4*c**3 - 27/4*c**2 + 3 - p*c = 0.
-1, 2/7, 2
Let r = -15637/5 + 3128. Find l such that -6/5*l**2 + 6/5*l**4 + r*l**5 + 0 - 3/5*l + 0*l**3 = 0.
-1, 0, 1
Let y be (-7)/(-3) + (-4)/(-6). Let j = 2236/381 - 68/127. Find x, given that 2/3*x**4 + 0*x**y + 32/3 - j*x**2 + 0*x = 0.
-2, 2
Let u = 12 - 12. Let f(t) be the third derivative of -7/6*t**4 + 9*t**2 + 1/3*t**5 - 1/30*t**6 + 0 + u*t + 2*t**3. Suppose f(q) = 0. What is q?
1, 3
Suppose 5*g = -4*f + 189, 168 = 3*f - g - 4*g. Let u be f/119 - (-507)/42. Solve 1/2*a**2 + u + 5*a = 0 for a.
-5
Let j(b) be the third derivative of -b**5/120 - b**4/24 + 21*b**3/4 - 10*b**2 - 20*b. Factor j(u).
-(u - 7)*(u + 9)/2
Let k = -67253/6 + 11210. Factor 1/2*o + 0 + 5/6*o**3 + 1/6*o**4 + k*o**2.
o*(o + 1)**2*(o + 3)/6
Let v = -5058 + 35414/7. What is q in 0 + 6/7*q**4 + 4/7*q**2 + v*q**5 + 0*q - 18/7*q**3 = 0?
-2, 0, 1/4, 1
Suppose 0 = -s + 118 - 113. Suppose -3*a + 23 = s. Factor -4*v + 2/3*v**2 + a.
2*(v - 3)**2/3
Let j be 2 - -2 - ((-1902)/6 + -2). Let g = 979/3 - j. Find s, given that -25/3*s**5 - 1/3*s**3 + 0*s + 0*s**2 - g*s**4 + 0 = 0.
-1/5, 0
Suppose -5*s + 57 = -73. Suppose 24 = 4*n - 2*r + 8, 5*r = 3*n - s. Determine y so that 4/9*y + 0 + 2/9*y**3 + 2/3*y**n = 0.
-2, -1, 0
Let g(t) = -t**3 - 9*t**2 - 7*t - 5. Let s be g(-8). Let u be 4*(s/6 - -3). Factor -4/3 - 2/3*z**3 - u*z - 8/3*z**2.
-2*(z + 1)**2*(z + 2)/3
Let n(s) be the third derivative of -s**7/70 - 9*s**6/40 - 6*s**5/5 - 2*s**4 - 2*s**2 - 74. Factor n(v).
-3*v*(v + 1)*(v + 4)**2
Factor 204000 + 5*t**2 + 2639*t - 614*t + 67445 + 305*t.
5*(t + 233)**2
Let a(h) be the first derivative of h**6/12 - 7*h**5/10 + 7*h**4/8 + 23*h**3/6 - 2*h**2 - 8*h + 199. Solve a(r) = 0.
-1, 1, 4
Let k(y) = -5*y**4 + 90*y**3 - 340*y**2 + 148*y + 586. Let p(i) = -2*i + 1. Let w(b) = k(b) - p(b). Factor w(c).
-5*(c - 13)*(c - 3)**2*(c + 1)
Let t(u) = -4*u**2 - 21*u - 21. Let h = 29 - 34. Let c(m) = -10*m**2 - 52*m - 52. Let k(z) = h*c(z) + 12*t(z). Factor k(r).
2*(r + 2)**2
Let s(f) be the first derivative of 0*f + 12/5*f**5 + 1/3*f**6 + 0*f**2 + 6*f**4 - 11 + 16/3*f**3. Let s(i) = 0. What is i?
-2, 0
Suppose 7*w = 12*w. Suppose d = w, 13 = 4*g - d - 3. Factor 0 + 0 + 6*a**5 - 5*a**5 - 2*a**3 - a**g.
a**3*(a - 2)*(a + 1)
Let k(i) be the first derivative of -2*i**5/9 + i**4/2 + 4*i**3/3 - 107. Find t, given that k(t) = 0.
-6/5, 0, 3
Let p(y) be the second derivative of y**5/50 - 4*y**4/15 + 16*y**3/15 - 123*y + 1. Factor p(s).
2*s*(s - 4)**2/5
Let 0 + 4/5*t**3 - 2/5*t**2 + 2/5*t**4 - 4/5*t = 0. What is t?
-2, -1, 0, 1
Let z(h) = -4*h - 69. Let r be z(-16). Let w = r - -5. What is n in w + n**2 - 1/3*n**3 - n**4 + 2/3*n - 1/3*n**5 = 0?
-2, -1, 0, 1
Determine s so that -5/4*s**2 + 5/2*s - 5/4 = 0.
1
Factor 288/7 - 16*r + 2/7*r**3 + 2/7*r**2.
2*(r - 4)**2*(r + 9)/7
Suppose -10/7*u - 38/7*u**3 - 6*u**2 - 10/7*u**4 + 4/7 = 0. What is u?
-2, -1, 1/5
Factor 488 - x**3 + 1177*x**2 + 290*x + 190*x - 1063*x**2 - x**3.
-2*(x - 61)*(x + 2)**2
Let w(m) be the second derivative of m**7/63 - m**6/15 + m**5/30 + m**4/6 - 2*m**3/9 + 9*m + 14. Solve w(g) = 0 for g.
-1, 0, 1, 2
Let i(b) be the second derivative of -b**6/30 - 23*b**5/20 - 11*b**4/6 - 64*b. Factor i(c).
-c**2*(c + 1)*(c + 22)
Factor -5*d - 12*d**3 + 46*d**2 + 32*d**3 - 42*d**2 - 15*d - 4*d**4.
-4*d*(d - 5)*(d - 1)*(d + 1)
Let s be ((-8)/5)/2*(-5)/7. Suppose -4*l = 4*y - 2*l - 16, 3*l = 2*y + 8. Factor -s + 2/7*g + 2/7*g**y.
2*(g - 1)*(g + 2)/7
Let n(s) = s**2 - 3*s - 4. Let p be n(4). Suppose p = -7*g + 15 - 1. Find h such that -6*h**2 + 2*h**g + 3*h**4 + h**4 = 0.
-1, 0, 1
Let q(i) be the third derivative of 5*i**7/357 + i**6/204 - 11*i**5/85 + 11*i**4/51 - 8*i**3/51 + 8*i**2 + 3. Let q(u) = 0. What is u?
-2, 2/5, 1
Let n(o) be the second derivative of -o**4/48 + o**3/24 - 95*o + 1. Solve n(d) = 0 for d.
0, 1
Suppose 9*m - 105 = 2*m. Suppose -15*y**2 + 5*y**3 - 41*y + 21*y + m + 15*y = 0. What is y?
-1, 1, 3
Let n(o) be the third derivative of -1/15*o**5 - 1/12*o**4 + 2/3*o**3 - 12*o**2 + 0 + 1/60*o**6 + 0*o. Suppose n(d) = 0. What is d?
-1, 1, 2
Let m(p) be the third derivative of p**6/600 + 87*p**5/100 + 7569*p**4/40 + 219501*p**3/10 - 139*p**2 + 1. Factor m(t).
(t + 87)**3/5
Let d(l) be the third derivative of -l**5/15 + 5*l**4/3 - 16*l**3 - 15*l**2 + l. Factor d(x).
-4*(x - 6)*(x - 4)
Let j(v) be the first derivative of -v**3/30 - v**2/20 + 3*v/5 + 60. Factor j(a).
-(a - 2)*(a + 3)/10
Suppose -87*h - 6 = -90*h. Suppose 2*a - 3 = a. Determine x so that -2/11*x - 6/11*x**h + 8/11*x**a + 0 = 0.
-1/4, 0, 1
Let h(d) be the first derivative of -d**6/1260 + d**5/140 + d**4/21 + d**3 + 1. Let z(l) be the third derivative of h(l). Factor z(s).
-2*(s - 4)*(s + 1)/7
Let x(d) = -9*d**2 + 13*d + 92. Let s(c) = 20*c**2 - 25*c - 185. Let a(z) = 2*s(z) + 5*x(z). Let a(q) = 0. Calculate q.
-3, 6
Let u = -75421/1444 + -7/361. Let k = 1503/28 + u. Let 32/7*l + k*l**4 - 2/7*l**2 + 2*l**5 - 8/7 - 46/7*l**3 = 0. Calculate l.
-2, -1, 2/7, 1
Let i(q) be the third derivative of q**8/23520 - q**7/1764 + q**6/630 + 7*q**4/12 + 12*q**2 - q. Let y(c) be the second derivative of i(c). Factor y(a).
2*a*(a - 4)*(a - 1)/7
Find o such that -19 - 55/2*o + 1/2*o**3 - 8*o**2 = 0.
-2, -1, 19
Let y = 3019/6 - 503. Factor y*t**2 + 25/6 + 5/3*t.
(t + 5)**2/6
Let k(u) be the second derivative of u**5/100 + u**4/60 - u**3/6 + 3*u**2/10 + 736*u. Factor k(p).
(p - 1)**2*(p + 3)/5
Let h = -113 + 65. Let v be 3/2*h/(-153). Factor 0*u - 2/17*u**2 + v.
-2*(u - 2)*(u + 2)/17
Let k(b) be the first derivative of -b**7/9240 + b**6/1320 + b**5/1320 - b**4/88 - 13*b**3/3 + 19. Let z(y) be the third derivative of k(y). Factor z(v).
-(v - 3)*(v - 1)*(v + 1)/11
Let v be (-35)/(-70)*(6 - 0). Factor -3/2*b**2 + 9/2*b - v.
-3*(b - 2)*(b - 1)/2
Suppose 10 = 2*a - 4. Suppose -a*t = -2*t + 15. Let o(w) = w**2 + 1. Let m(c) = c**2 + 10*c + 1. Let r(d) = t*o(d) - m(d). Factor r(s).
-2*(s + 2)*(2*s + 1)
Let r(t) be the first derivative of t**3/30 + 57*t**2/10 + 3249*t/10 + 226. Suppose r(a) = 0. What is a?
-57
Let u = 3 + -6. Let l = u - -7. Let -x**3 - 7*x - l*x**2 + 4*x**3 + x + 4 + 3*x**3 = 0. What is x?
-1, 2/3, 1
Suppose -11*t - 11*t + 88 = 0. Suppose -3*c = -2*w - 4*c + 11, 4*c = -w + 16. Factor t*k**4 - 4*k**3 + 5*k**2 - 3*k**2 - k**4 - k**w.
2*k**2*(k - 1)**2
Let z = 2 + 4. Let p(m) = m - 4. Let n be p(z). Factor -l**2 + l**2 + 3*l**n + 0*l**2.
3*l**2
Let k = 621/514 - -75/257. Factor 9/2*b**2 + 27/2*b**3 - k*b - 1/2.
(3*b - 1)*(3*b + 1)**2/2
Factor -3/8*i**2 + 15/4*i - 9.
-3*(i - 6)*(i - 4)/8
Factor -525*m**5 - 49421*m + 49421*m - 24*m**2 - 570*m**4 - 204*m**3.
-3*m**2*(5*m + 2)**2*(7*m + 2)
Factor -44/3*g**3 - 2/3*g**4 - 200/3 - 440/3*g - 94*g**2.
-2*(g + 1)**2*(g + 10)**2/3
Let y = -346 - -346. Let d(n) be the first derivative of 0*n + 1/7*n**2 + 0*n**5 - 2 + 1/21*n**6 - 1/7*n*