**3 + 110 - 31*b**2 - 22*b**2 - b**4 + 142.
-(b - 2)*(b + 3)**2*(b + 14)
Let a be 12/42 + 7212/42. Let h be (6 + a/(-28))*-14. Factor -4/9 - 2/9*v**h + 2/3*v.
-2*(v - 2)*(v - 1)/9
Factor 1539 - 154*n**3 + 1883 + 363*n**2 + 2*n**4 - 964*n - 2762*n + 915*n**2 + 250.
2*(n - 68)*(n - 3)**3
Suppose 2/5*y**2 + 0 - 1354/5*y = 0. Calculate y.
0, 677
Factor 1/3*m**3 - 17*m**2 - 620/3 - 224*m.
(m - 62)*(m + 1)*(m + 10)/3
Suppose 0 = 3*c + 4*r - 605, -4*c + 0*r = 3*r - 795. Let 9*u**2 - 58*u**4 + 10*u**5 + 35*u**4 - 62*u**4 - 21*u**2 + c*u**3 - 80*u - 28*u**2 = 0. What is u?
-1/2, 0, 1, 4
Suppose 2*h - 290 = -284. Let o(w) be the second derivative of 0*w**h - 8*w + 2*w**2 + 0 - 1/12*w**4. Suppose o(v) = 0. What is v?
-2, 2
Determine a so that -4/9*a**4 - 580/9*a**2 - 304/3*a - 88/9*a**3 + 176 = 0.
-11, -6, 1
Let r(x) be the first derivative of -x**4/26 - 2*x**3/13 + 180*x**2/13 + 4529. Find o, given that r(o) = 0.
-15, 0, 12
Let d = 805 + -798. Suppose -12 = -2*a + 5*q, d*a - 11*a - 5*q = 6. Factor 1/2*g**3 - 3/2*g - a + 0*g**2.
(g - 2)*(g + 1)**2/2
Suppose 0 = -4*j + 3*v + 17, 3*j - 3*v - 14 = -2. Let l be (-1782)/(-429) + (-1 - (-2 + j)). What is f in l + 50/13*f**2 + 20/13*f = 0?
-1/5
Let c be (1/(-9))/((-16)/216) + 2. Solve -25/4*s - c*s**2 - 3 - 1/4*s**3 = 0 for s.
-12, -1
Let c(y) be the third derivative of 1/42*y**5 + 11/42*y**4 + 8/21*y**3 - 2*y + 0 - 45*y**2. Find a, given that c(a) = 0.
-4, -2/5
Let a be 4/3 + (-169)/975 + -5. Let f = a - -756/25. Find n such that -26/5*n**4 + f*n**3 + 2/5*n**5 + 378/5*n - 324/5*n**2 - 162/5 = 0.
1, 3
Let y(l) = -l**2 - 41*l - 239. Let g be y(-34). Let f be g + (-2 - 1) + 7. Factor w**2 + 1/3 - 1/3*w**f - w.
-(w - 1)**3/3
Let s(y) = y**2 + 8*y - 2. Let w(b) = -20*b - 1118. Let i(g) = -3*s(g) - 3*w(g). Suppose i(r) = 0. What is r?
-28, 40
Factor -2375*a**5 - 187*a**3 - 73*a**4 + 2376*a**5 + 589*a**3.
a**3*(a - 67)*(a - 6)
Let t(l) = -3*l**4 - 11*l**3 + 53*l**2 - 49*l + 18. Let k(u) = -2*u**4 + u**3 + 6*u**2 - u. Let o(m) = 2*k(m) - t(m). Factor o(x).
-(x - 9)*(x - 2)*(x - 1)**2
Let c(u) = 16*u**4 - 5*u**3 - 24*u**2 + 76*u - 41. Let w(n) = -3*n**4 + n**3 + 5*n**2 - 15*n + 8. Let v = -187 - -189. Let g(t) = v*c(t) + 11*w(t). Factor g(a).
-(a - 2)*(a - 1)**2*(a + 3)
Let m = -27403/21 - -1305. Let k(x) be the second derivative of -2/15*x**5 + 0*x**2 + 0*x**3 + 0 + 0*x**4 - m*x**7 - 14/45*x**6 + 9*x. Solve k(n) = 0.
-2, -1/3, 0
Let r = 1/174 - -343/870. Suppose -320*q = -319*q - 4. Find t, given that 0 + 0*t**3 + r*t**q - 6/5*t**2 + 4/5*t = 0.
-2, 0, 1
Let t(d) = 2*d**3 + d**2 - d + 2. Let x(p) = -50*p**4 + 1290*p**3 + 15153*p**2 + 44683*p + 30880. Let q(k) = -5*t(k) + x(k). Find n such that q(n) = 0.
-21/5, -1, 35
Let k(c) be the third derivative of -c**6/480 + 14*c**5/15 + 77*c**4/32 - 225*c**3/4 - 2*c**2 - 2*c - 110. Factor k(d).
-(d - 225)*(d - 2)*(d + 3)/4
Suppose -17 = -5*j + 13. Suppose 3*o + 13 = -l, 4*l = -j*o + 5*o + 3. Factor 24*d**2 + 30*d**l - 2*d**4 - 46*d**2.
-2*d**2*(d - 2)*(d + 2)
Let z(q) be the first derivative of -2*q**3/3 + 164*q**2 - 13448*q + 998. Factor z(b).
-2*(b - 82)**2
Let i(s) be the second derivative of -s**5/100 - 941*s**4/20 - 885481*s**3/10 - 833237621*s**2/10 - 397*s + 2. Let i(j) = 0. What is j?
-941
Let t be ((9/7)/(-9))/(84/(-504)). Factor 0*d**2 + t*d**4 + 2/7*d**3 + 0 + 0*d + 4/7*d**5.
2*d**3*(d + 1)*(2*d + 1)/7
Let w be (-8*1)/(-2) - (-35 - -17). Let b(k) = -1. Let v(g) = g**2 + 14*g + 2. Let m(i) = w*b(i) - 2*v(i). Factor m(y).
-2*(y + 1)*(y + 13)
Let c(j) be the third derivative of 0*j + 1/210*j**6 + 0*j**4 + 0 + 0*j**5 + 87*j**2 + 0*j**3. Factor c(d).
4*d**3/7
Let h(c) be the third derivative of -c**5/60 + 29*c**4/3 + 655*c**2. Solve h(k) = 0 for k.
0, 232
Let n = 488 + -335. Suppose 145*d - n*d = 0. Factor 6/7*p**3 + d*p + 3/7*p**4 + 0 + 0*p**2.
3*p**3*(p + 2)/7
Let u(p) be the second derivative of p**4/4 + 804*p**3 + 969624*p**2 - 6*p - 81. Let u(x) = 0. What is x?
-804
Let z(m) be the third derivative of m**6/24 - 5*m**5/6 + 5*m**4 + 28*m**2 - 34. Solve z(l) = 0.
0, 4, 6
Let l(x) be the first derivative of 2*x**3/9 + 3*x**2 + 28*x/3 - 1435. Suppose l(r) = 0. Calculate r.
-7, -2
Factor 36*n**2 + 9 + 11 - 4*n**3 - 96*n + 25 - 6 + 25.
-4*(n - 4)**2*(n - 1)
Let q = 300515 - 300511. Find t such that 1/2*t**2 - 7/2*t - q = 0.
-1, 8
Let p be 6 + (-25 - 2037/(-105)). Solve -40*c + 0 - 48*c**2 - 42/5*c**3 - p*c**4 = 0 for c.
-10, -1, 0
Suppose -1086 = 17*d + 8*d - 1161. What is o in 46*o**2 - 2021/4*o**d - o - 2209/4*o**4 + 0 = 0?
-1, 0, 2/47
Let i(v) be the second derivative of -v**5/240 - 7*v**4/144 + 8*v**3/3 - 57*v**2/2 - 12*v + 124. Factor i(r).
-(r - 6)**2*(r + 19)/12
Let m(d) be the first derivative of -d**4/14 + 680*d**3/21 + 370. Factor m(b).
-2*b**2*(b - 340)/7
What is k in -54324*k**2 - 24*k + 54348*k**2 + 36*k**3 - 2*k**4 - 140*k + k**4 + 102 + 3*k**4 = 0?
-17, -3, 1
Let z be (((1 - 1)/2)/(-220 - -218))/1. Let m(j) be the first derivative of z*j**2 - 33 + j**3 + 0*j - 3/4*j**4. Factor m(s).
-3*s**2*(s - 1)
Let n be 0 + (-6)/(-4)*2. Suppose y + 2 = 3*y - 4*u, -4 = -4*u. Solve 6*k**5 + 3*k**5 + n*k + y*k + 4*k**4 - 37*k**4 + 45*k**3 - 27*k**2 = 0 for k.
0, 2/3, 1
Let s(l) be the third derivative of l**5/5 + 2497*l**4/8 - 1875*l**3/2 + 28*l**2 + 80*l + 1. Determine a, given that s(a) = 0.
-625, 3/4
Let f be 4 + 14/(-3) + 5*6/45. Let k(p) be the second derivative of 0*p**4 - 1/30*p**6 - 8/3*p**3 - 22*p + 8*p**2 + f + 1/5*p**5. Suppose k(w) = 0. What is w?
-2, 2
Suppose 0 = -4*x + 3*y - 19, y = 5*x + 6*y + 50. Let p be x + 42*(-1)/(-6). Factor 0*h**2 + 5/4*h**4 + 0*h + 0 + p*h**3 + 5/4*h**5.
5*h**4*(h + 1)/4
Let z(r) be the second derivative of -r**7/42 + 31*r**5/20 + 5*r**4/2 + 920*r. Find s, given that z(s) = 0.
-5, -1, 0, 6
Let k(p) be the first derivative of 2*p**3/3 - 30*p**2 - 432*p + 140. Factor k(u).
2*(u - 36)*(u + 6)
Factor 26 + 1/2*l**2 - 14*l.
(l - 26)*(l - 2)/2
Let f(l) = 4*l**3 + 15*l**2 - 3*l + 4. Suppose -11*m + 16*m + 4*u = -32, 4*u = 4*m + 4. Let v be f(m). Factor -1/2*i**3 + 0 + 0*i**2 + v*i**4 + 1/2*i**5 + 0*i.
i**3*(i - 1)*(i + 1)/2
Factor 8 - 131/2*z**2 + 128*z + 33/4*z**3.
(z - 4)**2*(33*z + 2)/4
Let n(g) = 18*g**2 - 56*g - 440. Let y(f) = f**2 - f + 10. Let u(s) = -n(s) + 16*y(s). Determine j so that u(j) = 0.
-10, 30
Let h(j) be the third derivative of 1/112*j**8 + 73/10*j**5 + 0*j + 25/2*j**3 - 2 - 99/8*j**4 - 47/20*j**6 + 3/10*j**7 - 120*j**2. Factor h(f).
3*(f - 1)**4*(f + 25)
Let x be 4 - (-248)/(-1836)*246/(-4). Let q = x + 4/153. Let 43/3*l**3 - 5/3*l**5 + 8/3 - q*l**2 - 7/3*l**4 - 2/3*l = 0. Calculate l.
-4, -2/5, 1
Let s(o) be the first derivative of -o**5 - 5*o**4/2 + 5*o**3 + 5134. Factor s(g).
-5*g**2*(g - 1)*(g + 3)
Factor -156/7 + 942/7*i - 36/7*i**2.
-6*(i - 26)*(6*i - 1)/7
Let f(n) = -18*n - 41. Let u be f(-4). Let s = u - 181/6. Factor -s - 5/6*v**2 + 5/3*v.
-5*(v - 1)**2/6
Let l = -3586 + 3593. Let x(q) be the second derivative of 3/10*q**5 + 0 + 1/6*q**3 + 1/3*q**4 + 2/15*q**6 + 1/42*q**l - 10*q + 0*q**2. Factor x(y).
y*(y + 1)**4
Let q(p) be the first derivative of p**4/60 - 14*p**3/15 + 98*p**2/5 - 5*p + 57. Let u(y) be the first derivative of q(y). Factor u(t).
(t - 14)**2/5
Factor -1900*s - 960*s**2 - 3082868 - 5*s**3 + 3082868.
-5*s*(s + 2)*(s + 190)
Determine g, given that -774*g**2 + 55*g + 388*g**2 + 57*g + 385*g**2 - 23*g**3 + g**4 - 89*g**3 = 0.
-1, 0, 1, 112
Let m(s) be the first derivative of -119/3*s**2 - 4/15*s**5 + 196/3*s + 23/24*s**4 + 3 - 1/36*s**6 + 67/9*s**3. Factor m(w).
-(w - 2)**3*(w + 7)**2/6
Let -205/8*u + 225/4 - 1/8*u**3 + 7/2*u**2 = 0. What is u?
5, 18
Suppose 4 = i, -a + 4*i + 14 = 2*a. Suppose -8*d**2 + d + 21*d - a - 12*d**2 + 3*d + 5*d**3 = 0. What is d?
1, 2
Suppose 3*i - 39 = -4*q + 3, q - 5*i = 22. Let c be (-120)/(-35) - (-3)/(-7). Find y such that -5*y**2 + 8*y - q + 6*y**2 + c*y**2 = 0.
-3, 1
Let s = -8/383 - -1189/1915. Let b(u) be the first derivative of 1/5*u**3 + 3 + 3/5*u**2 + s*u. Suppose b(c) = 0. Calculate c.
-1
Let g(l) = 2*l**2 - 104*l + 212. Let d(r) = -16*r**2 + 832*r - 1702. Let p(q) = 2*d(q) + 17*g(q). Factor p(s).
2*(s - 50)*(s - 2)
Let y = -442/67 - -6255/938. Let n(s) be the second derivative of 0 + 0*s**3 + 0*s**4 - 3/20*s**5 + 1/5*s**6 + 4*s - y*s**7 + 0*s**2. Factor n(