 of m**4/26 - 2*m**3/39 - 4*m**2/13 + 8*m/13 - 259. Factor b(k).
2*(k - 2)*(k - 1)*(k + 2)/13
What is u in 0*u + 5/4*u**3 + 0 - 5/4*u**2 = 0?
0, 1
Factor 6*h**2 + 4*h**3 - 3*h + 3*h**5 + 292*h**4 - h + 2*h**3 - 306*h**4 + 3*h**5.
2*h*(h - 1)**3*(3*h + 2)
Let z be (-1320)/(-1584)*(-24)/(-50). Factor 0 + 0*u**2 + 0*u + 4/5*u**3 + z*u**4.
2*u**3*(u + 2)/5
Let n(h) be the first derivative of -h**4/2 - 3*h**3/2 + 3*h**2 - 18*h + 16. Let b(t) be the first derivative of n(t). Solve b(l) = 0 for l.
-2, 1/2
Factor 0 - 23/9*w**3 - 11/3*w**2 - 1/3*w**4 + 1/9*w**5 - 14/9*w.
w*(w - 7)*(w + 1)**2*(w + 2)/9
Factor -1/7*x**5 + 0 - 5/7*x**4 - 6/7*x**3 + 8/7*x + 4/7*x**2.
-x*(x - 1)*(x + 2)**3/7
Determine z so that 0 + 0*z + 1/4*z**5 - z**2 + 9/4*z**3 - 3/2*z**4 = 0.
0, 1, 4
Factor -1073*i**3 + 1071*i**3 - 64*i**2 - 74*i**2.
-2*i**2*(i + 69)
Let a(z) = -15*z**2 - 275*z - 1960. Let q(g) = 8*g**2 + 137*g + 980. Let w(l) = 3*a(l) + 5*q(l). Determine n so that w(n) = 0.
-14
Solve -3*c - 18/7 - 6/7*c**2 = 0 for c.
-2, -3/2
Suppose 51 = -4*n + 59. Suppose 6 = 4*v - n. Factor 3*o - 9/4 - 3/4*o**v.
-3*(o - 3)*(o - 1)/4
Suppose -2*p - 8*p = -30. Factor -20*l + 5*l**2 + 10*l + 8*l**3 + 0*l**2 - p*l**3.
5*l*(l - 1)*(l + 2)
Let w(v) be the first derivative of 9/7*v**3 + 6/7*v - 33/14*v**2 - 24. What is t in w(t) = 0?
2/9, 1
Let q(v) = -5*v**3 - 55*v**2 - 162*v - 142. Let s(y) = y + 1. Let g(i) = q(i) + 2*s(i). Factor g(w).
-5*(w + 2)**2*(w + 7)
Let o be (-59)/(-4) - (-9)/(-12). Suppose 0 = 4*a - 4*y + 4, -o = -2*a - y - y. Let 0 + 1/5*k + 2/5*k**2 + 1/5*k**a = 0. Calculate k.
-1, 0
Let z(a) = 12*a**2 - 352*a - 105. Let b be z(30). Factor -b*l**3 - 270*l - 50 - 25/2*l**4 - 829/2*l**2.
-(l + 5)**2*(5*l + 2)**2/2
Let d(p) be the second derivative of -3*p**5/20 + 5*p**4/12 + 3*p**3/2 - 17*p. Let x(r) = r**2. Let i(a) = -d(a) - x(a). Solve i(v) = 0 for v.
-1, 0, 3
Find c, given that 0 + 0*c - 1/5*c**3 + c**2 = 0.
0, 5
Suppose -23*g + 11*g + 180 = 0. Suppose 0 = -8*n + 7*n - g*n. Find s, given that 8/3*s**2 + 2/3*s**3 + 2*s + n = 0.
-3, -1, 0
Let i(g) be the first derivative of -g**9/28 + 3*g**8/70 + 11*g**7/280 + g**6/120 + g**3/3 + 7. Let l(n) be the third derivative of i(n). Factor l(m).
-3*m**2*(m - 1)*(6*m + 1)**2
Let i(b) = -17*b**3 + 10*b**2 + 69*b - 174. Let q(r) = 185*r**3 - 110*r**2 - 760*r + 1915. Let o(s) = -65*i(s) - 6*q(s). Find u such that o(u) = 0.
-4, 3
Solve 0 - 24/7*c - 50/7*c**2 - 26/7*c**3 + 2/7*c**5 + 2/7*c**4 = 0 for c.
-3, -1, 0, 4
Factor 0 - 6/7*s**3 - 6/7*s - 1/7*s**4 - 11/7*s**2.
-s*(s + 1)*(s + 2)*(s + 3)/7
Let d(l) = -19*l**2 - 194*l - 392. Let q(v) = -15*v**2 - 195*v - 390. Let w(f) = 3*d(f) - 4*q(f). Factor w(s).
3*(s + 2)*(s + 64)
Suppose -4*j - 1 = -9. Determine k so that -6 - 35*k - 7 - 25*k**2 + 1 + j = 0.
-1, -2/5
Determine o, given that -12*o**3 - o**2 + 21*o**4 - 57*o**4 + 0*o**2 = 0.
-1/6, 0
Suppose -4*r**3 + 12*r**5 - 8*r**3 - r**3 - 12*r**2 - 15*r**3 + 28*r**4 = 0. What is r?
-3, -1/3, 0, 1
Let h(l) be the first derivative of 65*l**3 + 205*l**2/2 + 10*l + 429. Factor h(q).
5*(q + 1)*(39*q + 2)
Suppose 0 = 3*f - 2 - 4, 4*v = 2*f + 8. Suppose -9 = v*b - 6*b. Solve 3*l**b - 3*l**2 - 2*l + 3*l**2 - l**3 = 0.
-1, 0, 1
Let k(j) be the second derivative of 0 - 4*j**2 + 6*j**3 - 27*j + 35/3*j**4. Solve k(r) = 0 for r.
-2/5, 1/7
Find p such that -9*p**4 - 7*p**4 - 43 - 27 - 2*p + 40*p**2 - 2*p + 46 + 4*p**5 = 0.
-1, 1, 2, 3
Let u = -67 - -68. Let q(c) be the first derivative of -c**4 + c**3/3 - c**2 + 2. Let j(i) = i**3 + i. Let f(s) = u*q(s) + 2*j(s). Factor f(r).
-r**2*(2*r - 1)
Factor 240/7*o - 2/7*o**2 - 7200/7.
-2*(o - 60)**2/7
Find d, given that 0*d**2 + 0*d - 1/2*d**5 + 0*d**3 + 0 - 3/2*d**4 = 0.
-3, 0
Let t(a) = a**3 - 4*a**2 + 3. Let u be t(4). Suppose -3*v + u + 6 = 0. Solve 3*s - 36 + 38 - 2*s**4 - 2*s - 4*s**3 + v*s = 0 for s.
-1, 1
Let q(g) be the first derivative of g**5 - 4*g**5 - 11 - g**3 - 3*g**4 - g**6 + 0*g**4. Determine p, given that q(p) = 0.
-1, -1/2, 0
Let p(u) be the third derivative of u**6/420 + u**5/21 + 23*u**4/84 + 2*u**3/3 + u**2 - 106. Factor p(i).
2*(i + 1)*(i + 2)*(i + 7)/7
Let s(o) be the first derivative of -o**4/4 + 5*o**3 + 15*o**2 + 11*o - 46. Let n(k) = -2*k**3 + 14*k**2 + 30*k + 10. Let w(j) = -3*n(j) + 4*s(j). Factor w(c).
2*(c + 1)**2*(c + 7)
Suppose 3*p = 8*p. Let w be p*1/4 + 2. Find i, given that -3*i**w - 9 - 1 - 1 - 12*i - 1 = 0.
-2
Let v(q) be the third derivative of q**6/30 + q**5/5 - 3*q**4/2 + 10*q**3/3 - 289*q**2. Solve v(p) = 0 for p.
-5, 1
Let b(l) = -123 + 235 - 117 + 2*l**2. Let w be b(-2). Let 2/5*p**5 + 4/5*p**4 + 0 + 0*p + 0*p**2 + 2/5*p**w = 0. Calculate p.
-1, 0
Suppose 23*f - 332 = 21*f. Suppose 0 = -2*v + f - 166. Let 8/5*i**2 - 2/5*i + v - 12/5*i**3 - 2/5*i**5 + 8/5*i**4 = 0. What is i?
0, 1
Let b(s) be the third derivative of -s**5/30 + 111*s**4/16 - 83*s**3/12 - 133*s**2. What is q in b(q) = 0?
1/4, 83
Let b(n) be the third derivative of 0*n**3 + 1/10*n**7 + 1/4*n**5 + 0*n**4 + 0*n + 0 - 11/40*n**6 - 11*n**2 - 1/112*n**8. Factor b(k).
-3*k**2*(k - 5)*(k - 1)**2
Let c(w) be the second derivative of w**6/150 - 9*w**5/100 - w**4/60 + 3*w**3/10 - 36*w + 3. Factor c(g).
g*(g - 9)*(g - 1)*(g + 1)/5
Let b(w) be the first derivative of 5*w**4/4 - 85*w**3/9 - 45*w**2/2 - 35*w/3 + 386. Let b(c) = 0. Calculate c.
-1, -1/3, 7
Let x(f) be the first derivative of -2*f**3/3 + 4*f**2 + 8. Let l(w) = -1. Let d(n) = -8*l(n) - x(n). Suppose d(i) = 0. Calculate i.
2
Let k = 43 + -35. Determine y so that 3*y**3 + k*y - 4*y**3 - 4 - y - 17*y**2 + 15*y**2 = 0.
-4, 1
Let i = 117 + -115. Let g = 79 + 22. Factor 0*w + g - 8*w - 4*w**2 - 85 + i*w**3.
2*(w - 2)**2*(w + 2)
Factor -10/7*d - 24/7 - 2/7*d**3 + 12/7*d**2.
-2*(d - 4)*(d - 3)*(d + 1)/7
What is p in 207*p + 647 + 125*p**3 + 381 - 399*p**2 - p**4 - 326 - 32*p**3 - 2*p**4 = 0?
-1, 3, 26
Suppose -27/2 + 456*t**4 - 96*t**5 - 339/2*t**3 - 441/2*t - 1857/2*t**2 = 0. What is t?
-1, -1/8, 3
Let t(o) be the second derivative of -3*o**4/4 - 4*o**3/3 + o**2/2 + 4*o. Let a(l) = l**2 - 1. Let p(c) = -24*a(c) - 3*t(c). Find d such that p(d) = 0.
-7, -1
Factor 9/7*u**2 + 27/7 + 12*u.
3*(u + 9)*(3*u + 1)/7
Let y(l) be the second derivative of 5*l**7/7 - 47*l**6/6 - 3*l**5 + 55*l**4/4 - 20*l**3/3 - 188*l. What is u in y(u) = 0?
-1, 0, 1/3, 1/2, 8
Let o(c) be the third derivative of c**7/140 + 9*c**6/80 + 29*c**5/40 + 39*c**4/16 + 9*c**3/2 - 101*c**2. Find d, given that o(d) = 0.
-3, -2, -1
Let j(m) = -16*m**3 - 47*m**2 + 8*m + 15. Let d be j(-3). Factor -3/5*t**2 + d + 2/5*t + 1/5*t**3.
t*(t - 2)*(t - 1)/5
Let s(b) be the third derivative of b**5/80 + 81*b**4/32 - 41*b**3/4 + 44*b**2 + b. Factor s(g).
3*(g - 1)*(g + 82)/4
Let i = -1007 - -4029/4. Determine h so that -i*h**3 - 3/4*h**2 + 1 + 0*h = 0.
-2, 1
Let h(f) = -f + 24. Let k be h(6). Let j be k/10 + (-5)/(-100)*4. Find a, given that -2/11*a**3 + 0 - 2/11*a**j + 2/11*a + 2/11*a**4 = 0.
-1, 0, 1
Let k(v) be the second derivative of -2*v**7/21 + 2*v**6/5 - 13*v**5/20 + v**4/2 - v**3/6 - v - 8. Solve k(u) = 0.
0, 1/2, 1
Let q(m) be the second derivative of 3*m**5/140 - 102*m**4/7 + 27744*m**3/7 - 3773184*m**2/7 - 251*m. What is r in q(r) = 0?
136
Let k(b) be the second derivative of b**5/150 - 13*b**4/90 + 8*b**3/9 - 12*b**2/5 - 135*b. Factor k(a).
2*(a - 9)*(a - 2)**2/15
Let s(x) be the third derivative of -4*x**6/225 + 4*x**5/75 + x**4/12 - 5*x**3/9 + 18*x**2. Factor s(r).
-2*(r + 1)*(4*r - 5)**2/15
Let t(u) be the second derivative of 7*u**4/48 - u**3/24 - u**2 + 489*u. Factor t(j).
(j + 1)*(7*j - 8)/4
Let y = 14301/17845 - 5/3569. Suppose 2/5 + 0*b**4 - 3/5*b - 2/5*b**2 + y*b**3 - 1/5*b**5 = 0. What is b?
-2, -1, 1
Let l be (-4)/60 - (-38)/95. Let u(s) be the first derivative of 0*s + 3/4*s**4 + 8 + 1/18*s**6 - l*s**5 - 7/9*s**3 + 1/3*s**2. Factor u(i).
i*(i - 2)*(i - 1)**3/3
Let x(f) be the second derivative of 0 + 1/30*f**4 + 0*f**2 + 1/10*f**3 - 1/100*f**5 - 24*f. Determine h, given that x(h) = 0.
-1, 0, 3
Let h be 14/6 + (-30)/18. Let 1/3 + h*g + 1/3*g**2 = 0. What is g?
-1
Let b = 53629/7 - 7647. Let u = 19 - b. Factor 24/7 + 3/7*m**5 - 36/7*m - 18/7*m**4 - 6/7*m**2 + u*m**3.
3*(m - 2)**3*(m - 1)*(m + 1)/7
Factor m**2 + 0 - 1/3*m**3 + 10/3*m.
-m*(m - 5)*(m + 2)/3
Let u(w) be the second derivative of -