6 + 0*g - 18/25*g**5 + 9/5*g**4 - 8/5*g**t + 6 + 0*g**2. Factor f(b).
3*b**2*(b - 2)**3/5
Let o(h) be the first derivative of h**6/6 + 8*h**5/5 - 2145. Let o(t) = 0. What is t?
-8, 0
Let p = 1916/23 + -5702/69. Factor 0 + 0*k + 0*k**3 + 8/3*k**2 - p*k**4.
-2*k**2*(k - 2)*(k + 2)/3
Let x = -423 - -427. Factor -89*l + 44*l**x + 180*l**2 - 68*l**3 + 56 + 28*l - 40*l**4 - 111*l.
4*(l - 14)*(l - 1)**3
Let z(k) be the first derivative of -k**4/2 + 128*k**3/9 - 380*k**2/3 + 800*k/3 + 403. Suppose z(p) = 0. Calculate p.
4/3, 10
Factor y**2 + 97 + 105*y + 22*y - 29*y.
(y + 1)*(y + 97)
Let 14/5*c**4 - 14/5*c**2 + 13/5*c - 1/5*c**5 + 0 - 12/5*c**3 = 0. Calculate c.
-1, 0, 1, 13
Factor 154/5*q - 288/5 - q**2.
-(q - 2)*(5*q - 144)/5
Let y = 95464 - 95462. Factor 0 - 18/5*g**4 - 8/5*g - 42/5*g**3 - 32/5*g**y.
-2*g*(g + 1)*(3*g + 2)**2/5
Suppose 2340 = -131*j + 122*j. Let c = 263 + j. Suppose 0 - 16/9*p - 4/9*p**c - 2/3*p**4 + 8/3*p**2 + 2/9*p**5 = 0. What is p?
-2, 0, 1, 2
Let v(q) = -26*q**2 + 798*q + 159207. Let r(c) = -61*c**2 + 1596*c + 318416. Let z(j) = 3*r(j) - 7*v(j). Factor z(a).
-(a + 399)**2
Let m(p) be the third derivative of 0*p**4 + 0 + 0*p**3 + 1/400*p**6 + 3*p - 23*p**2 - 1/300*p**5 + 0*p**7 - 1/3360*p**8. Determine h so that m(h) = 0.
-2, 0, 1
What is i in -85301 + 585*i - 86033 + 170754 - 5*i**2 = 0?
1, 116
Let s = 42255 + -289743/7. Let a = s + -862. Suppose a*o**4 - 6/7*o**2 - 1/7 - 4/7*o**3 + 5/7*o = 0. Calculate o.
-1, 1/2
Let h(x) be the first derivative of 3/8*x**2 + 1/160*x**5 + 7 + 1/24*x**4 - 11/48*x**3 + 4*x. Let p(m) be the first derivative of h(m). Factor p(n).
(n - 1)**2*(n + 6)/8
Solve 16 + 1305*v**2 + 81/2*v**3 + 577/2*v = 0 for v.
-32, -1/9
Let t(r) be the second derivative of 101*r**4/20 + r**3/15 - 7503*r. Let t(g) = 0. What is g?
-2/303, 0
Suppose 0 = 6*a - 3*a + 18. Let z(p) = p**3 + 10*p**2 - 3*p. Let v be z(a). Solve -100*j + 2*j**2 + 249*j + v - 113*j = 0.
-9
Let a(f) = -4*f**3 + f**2 - 6*f + 4. Let o be a(0). Let z = -710 + 4978/7. Solve -z*q**o - 12/7*q**3 + 0 - 4/7*q**2 + 0*q = 0.
-1, -1/2, 0
Let r be 14/(-44) - -24*78/288. Factor -14/11*p**2 - 72/11 + 1/11*p**3 - r*p.
(p - 18)*(p + 2)**2/11
Let q(r) be the second derivative of r**4/6 + 635*r**3/3 + 634*r**2 - 1086*r. Let q(m) = 0. What is m?
-634, -1
Let r = -1207 + 1208. Let k(y) = 3*y**2 + 2*y - 1. Let v be k(r). What is a in -1/5*a**2 + 7/5*a**3 - 6/5*a + 1/5*a**v - 1/5*a**5 + 0 = 0?
-2, -1, 0, 1, 3
Let r = -386272 - -25105234/65. Let g = 510/13 + r. Find j such that -4/5*j**3 + 0 + g*j**4 + 0*j**2 - 4/5*j**5 + 0*j = 0.
0, 1
Suppose 4*x + 4*y = 0, 7*x - 10*x + 4*y + 14 = 0. Determine d, given that -8*d**2 + 3260*d**3 - 61*d**x - 3257*d**3 = 0.
0, 23
Let o(d) be the third derivative of -d**8/112 + 3*d**7/10 - 147*d**6/40 + 467*d**5/20 - 87*d**4 + 198*d**3 + d**2 + 1065. Suppose o(l) = 0. What is l?
2, 3, 11
Let f(z) be the second derivative of -z**7/315 + 2*z**6/45 - 37*z**5/150 + 2*z**4/3 - 4*z**3/5 + 1135*z. Factor f(c).
-2*c*(c - 3)**2*(c - 2)**2/15
Let b(d) be the third derivative of 1/60*d**5 + 0*d**3 - 1/40*d**6 - 4*d + 35*d**2 - 1/210*d**7 + 1/8*d**4 + 0. Determine a so that b(a) = 0.
-3, -1, 0, 1
Suppose -2135*d = -2187*d + 104. Factor 0 - 1/3*o**d - o.
-o*(o + 3)/3
Solve -8419*j**3 + 2697*j**3 - 6724*j + 2764*j**3 + 2793*j**3 - j**4 + 2*j**4 + 6888*j**2 = 0.
0, 1, 82
Suppose 112*p - 116*p = 4*x, 2 = -3*p - 2*x + 4. What is h in 12*h - 16/3*h**4 - 112/3*h**3 + 4*h**5 + 152/3*h**p - 24 = 0?
-3, -2/3, 1, 3
Let a(b) = 81*b - 9. Suppose -5*n + 2 = -4*n. Let j be a(n). Factor -j*t**2 - t - t + 152*t**2.
-t*(t + 2)
Suppose -15*i + 1 + 31 = -43. Let y(g) be the third derivative of 0*g**3 + 5/36*g**4 + 1/36*g**i - 1/18*g**6 - 5*g**2 + 0*g + 0 - 1/42*g**7. Solve y(w) = 0.
-1, 0, 2/3
Let v(x) be the first derivative of -x**6/200 - 3*x**5/25 - 21*x**4/40 - x**3 - 77*x**2/2 + 129. Let r(q) be the second derivative of v(q). Factor r(j).
-3*(j + 1)**2*(j + 10)/5
Let l be (-6)/(-8) - (-1098)/72. Let -1189*p**3 - 8 + 1185*p**3 + 0*p - l*p**2 - 20*p = 0. What is p?
-2, -1
Let x(g) = 2*g**3 + 12*g**2 + 6*g - 16. Let l(d) = -6*d**3 - 37*d**2 - 19*d + 48. Let h = 314 + -316. Let t(b) = h*l(b) - 7*x(b). Let t(y) = 0. What is y?
-4, -2, 1
Let i(h) be the third derivative of h**8/336 - 4*h**7/105 - h**6/15 + 8*h**5/5 + 6*h**4 - 4042*h**2. Factor i(s).
s*(s - 6)**2*(s + 2)**2
Let d = 78281/69576 + -1/8697. Let j(r) be the first derivative of 0*r**2 - 33 - 3/20*r**5 - 9/4*r**3 + d*r**4 + 0*r. Find l, given that j(l) = 0.
0, 3
Find f such that -160/7*f + 4/7*f**3 + 0 - 156/7*f**2 = 0.
-1, 0, 40
Suppose 3*m - 23*b + 5694 = -20*b, 0 = 3*m + 2*b + 5684. Let o = 1896 + m. Factor 1/5*p**4 + 1/10*p**3 - 3/10*p + o - 2/5*p**2.
p*(p + 1)**2*(2*p - 3)/10
Let n(r) be the first derivative of 66*r + 41 + 69/2*r**2 + r**3. Factor n(c).
3*(c + 1)*(c + 22)
Let b(z) be the second derivative of -1/51*z**6 - 12/85*z**5 + 32/51*z**3 + 48/17*z**2 + 0 + 113*z - 4/17*z**4. Factor b(d).
-2*(d + 2)**3*(5*d - 6)/17
Let n(j) be the second derivative of j**6/50 - 17*j**5/100 - j**4/10 + 11*j + 5. Let n(m) = 0. Calculate m.
-1/3, 0, 6
Let l(t) = -3*t**3 + 8*t**2 + 18*t - 14. Suppose 2*m = 11*m. Let d(b) = -b - 53 + 54 + m*b**2 - b**2. Let r(j) = 6*d(j) + l(j). What is k in r(k) = 0?
-2, 2/3, 2
Find i such that -2*i**2 - 52*i - 618823 + 618823 = 0.
-26, 0
Let k(u) be the third derivative of u**7/30 - u**6/24 - 74*u**5/15 - 7*u**4/2 + 473*u**2. Factor k(f).
f*(f - 7)*(f + 6)*(7*f + 2)
Let v = 105 + -102. Suppose 3*a = -3*r + 21, -20 - 21 = -v*r + 2*a. Find d, given that -2*d**4 + d**5 + 2*d**2 - 3*d**5 - 9*d**3 + r*d**3 = 0.
-1, 0, 1
Let h(c) be the first derivative of -2*c**2 + 16*c - 4*c**3 + 51 - 1/5*c**5 + 7/4*c**4. Find y such that h(y) = 0.
-1, 2, 4
Suppose l + 15 = 6*l, -4*a + 9 = 3*l. Let i = 839/4404 - 35/1468. What is r in i*r + 1/6*r**2 + a = 0?
-1, 0
Let d be 1 + 3*2/6. Suppose -3*s + 3*r = 6, d*s + 3 = 3*r - 6. Let -1281*n**s - 12 - 52 - 386*n + 642*n - 1855*n**3 + 672*n**2 + 1372*n**4 = 0. Calculate n.
-2/7, 2/7, 2
Let i be ((-416)/2704)/((-90)/3276). Factor -38/5*h**2 + 2/5*h**4 - i*h + 0 - 8/5*h**3.
2*h*(h - 7)*(h + 1)*(h + 2)/5
Factor 0 - 15*k + 104/7*k**2 + 1/7*k**3.
k*(k - 1)*(k + 105)/7
Let a(x) be the second derivative of -18*x + 4/5*x**5 + 32/3*x**3 + 5*x**4 - 1/15*x**6 + 0 + 11*x**2. Factor a(s).
-2*(s - 11)*(s + 1)**3
Let b(j) be the second derivative of 1/3*j**4 - 3/5*j**6 - 1/21*j**7 + 7*j**2 - 4*j - 3 - 7/5*j**5 + 5*j**3. Suppose b(u) = 0. Calculate u.
-7, -1, 1
Let i = -10992620/9 - -1221404. Let 4/3*j**4 + 0 - 2/9*j**5 - 8/3*j**3 + 0*j + i*j**2 = 0. What is j?
0, 2
Let c(t) be the third derivative of 13/35*t**5 + 1/420*t**6 + 17576/21*t**3 + 9*t**2 + 0 + 169/7*t**4 + 0*t. Find b, given that c(b) = 0.
-26
Let y(n) be the second derivative of 6/5*n**5 - 2/5*n**6 + 0*n**2 + n**3 + 1/21*n**7 + 2*n - 5/3*n**4 - 49. Let y(h) = 0. Calculate h.
0, 1, 3
Let f = -7396 + 7401. Let p(l) be the second derivative of 0 + 32/21*l**3 - 24*l - 5/7*l**f + 8/7*l**2 + 5/21*l**4. Suppose p(y) = 0. Calculate y.
-2/5, 1
Let h(p) be the first derivative of -20*p - 1/8*p**4 - 7/3*p**3 - 62 - 11*p**2. Factor h(o).
-(o + 2)**2*(o + 10)/2
Let v(l) = l - 1. Let s(h) = -h**2 + 34*h + 97. Let j(c) = 2*s(c) - 22*v(c). Let j(m) = 0. What is m?
-4, 27
Let u = -46448/3 - -15486. Factor 0 + 1/3*x**2 - u*x.
x*(x - 10)/3
Suppose -27*y - 88 = 17*y. Let h(k) = 14*k**2 + 789*k + 6422. Let m(x) = 3*x**2 + 158*x + 1284. Let j(s) = y*h(s) + 11*m(s). Factor j(d).
5*(d + 16)**2
Let r(i) be the first derivative of i - 3 + 0*i**2 - 1/6*i**4 + 4/3*i**3. Let z(u) be the first derivative of r(u). Determine x so that z(x) = 0.
0, 4
Suppose -21*d - 9 + 6*d**3 + 13*d + 10*d**4 - 34*d**2 - 48*d + 4*d**5 - 15 - 2*d**5 = 0. What is d?
-3, -2, -1, 2
Let f(q) = -8*q**3 + 46*q**2 + 150*q + 162. Let z(d) = 5*d**3 - 23*d**2 - 74*d - 82. Let r(a) = 3*f(a) + 5*z(a). Factor r(m).
(m + 2)**2*(m + 19)
Let y be (-46)/((-230)/(-15)) + 5. Find a such that -24/5*a**y - 3/5*a**4 - 12/5*a - 3*a**3 + 0 = 0.
-2, -1, 0
Let k(q) be the first derivative of -1/5*q**4 + 14*q**2 + 64/15*q**3 + 72/5*q - 20. Suppose k(b) = 0. What is b?
-1, 18
Let v(c) = 15*c + 331. Let s be v(-10). Let l = 183 - s. Factor 0 - 3/5*q**4 + 0*q**3 + 3/5*q**l + 0*q.
-3*q**2*(q 