 6*s(t). Factor x(y).
5*(y + 7)*(9*y + 7)**2
Suppose 1205*s - 1495*s + 34*s**2 + 2*s**4 + 8*s**3 - 300 + 18*s**3 = 0. What is s?
-10, -5, -1, 3
Let c = 1309/228 + -1157/228. Solve c*t**3 - 6*t**2 + 0 + 0*t = 0 for t.
0, 9
Factor -2/15*v**3 - 8566/15*v**2 - 9167762/15 - 9176326/15*v.
-2*(v + 1)*(v + 2141)**2/15
Suppose 0*q - 2/9*q**2 - 2/9*q**5 - 2/3*q**3 + 0 - 2/3*q**4 = 0. What is q?
-1, 0
Let x(u) be the first derivative of 0*u + 4/3*u**3 + 99 + 24*u**2. What is q in x(q) = 0?
-12, 0
Let i(m) be the first derivative of 2*m**3/9 + 19*m**2/3 + 815. Factor i(r).
2*r*(r + 19)/3
Let w(j) = 81*j**4 - 63*j**3 + 9*j**2 + 3. Let x(h) = 79*h**4 - 62*h**3 + 10*h**2 + 2. Let b = -156 + 159. Let l(q) = b*x(q) - 2*w(q). Factor l(c).
3*c**2*(5*c - 2)**2
Let a(b) be the second derivative of -b**7/168 + b**5/24 + b**3/6 - 104*b**2 - 13*b. Let x(u) be the second derivative of a(u). Let x(n) = 0. What is n?
-1, 0, 1
Let b(t) = -361*t**4 - 2376*t**3 - 4373*t**2 - 1963*t + 864. Let i(a) = -20*a**4 - 132*a**3 - 243*a**2 - 109*a + 48. Let p(u) = 6*b(u) - 106*i(u). Factor p(n).
-2*(n + 2)**3*(23*n - 6)
Let b(r) be the first derivative of 2*r**6/15 - 12*r**5/5 + 19*r**4/5 + 148*r**3/5 - 544*r**2/5 + 624*r/5 + 10956. Find a, given that b(a) = 0.
-3, 1, 2, 13
Let u be ((-1)/((-2575)/(-10)))/(4/120). Let i = 1080/1339 - u. Factor -8/13*c - i*c**4 - 24/13*c**2 + 0 - 2/13*c**5 - 2*c**3.
-2*c*(c + 1)**2*(c + 2)**2/13
Factor 27/2*d**2 + 76*d + 1/2*d**3 + 0.
d*(d + 8)*(d + 19)/2
Let h be (6/8)/3 - (-1)/(-4). Suppose h = -7*n + 19 + 2. Suppose -12*b**5 + 5*b**4 + 3*b**4 + 4*b - 12*b**2 + 4*b**4 + 4*b**5 + 4*b**n = 0. What is b?
-1, 0, 1/2, 1
Let x(o) be the third derivative of -o**8/2688 - o**7/1680 + o**6/80 - o**5/120 - o**4/12 + 6*o**2 + 349*o. Solve x(r) = 0 for r.
-4, -1, 0, 2
Let s(v) = 28*v**4 - 504*v**3 - 1856*v**2 - 1776*v + 16. Let f(o) = -5*o**4 + 101*o**3 + 371*o**2 + 355*o - 3. Let z(j) = -16*f(j) - 3*s(j). Factor z(h).
-4*h*(h + 2)**2*(h + 22)
Suppose -483*z + 24*z + 1377 = 0. What is g in -9 - 3/2*g**z - 9*g**2 - 33/2*g = 0?
-3, -2, -1
Let l be (-4)/10*-12*125/50. Factor 3/5*b**3 + 24/5*b - l + 33/5*b**2.
3*(b - 1)*(b + 2)*(b + 10)/5
Let w(x) be the first derivative of -x**5/140 + x**4/14 + 5*x**3/14 - 34*x**2 - 48. Let b(n) be the second derivative of w(n). Factor b(i).
-3*(i - 5)*(i + 1)/7
Let m(j) be the first derivative of 1/36*j**6 - 19/3*j**3 - 1 + 1/8*j**5 + 0*j**2 + 0*j - 5/12*j**4. Let c(s) be the third derivative of m(s). Factor c(y).
5*(y + 2)*(2*y - 1)
Let t(m) be the second derivative of -3*m**5/100 + 101*m**4/10 - 2*m + 4118. Factor t(w).
-3*w**2*(w - 202)/5
Let i(y) be the first derivative of y**6/8 - 9*y**5/20 - 15*y**4/16 + 3*y**3/4 + 3*y**2/2 - 102. What is s in i(s) = 0?
-1, 0, 1, 4
Let v(f) be the third derivative of -f**5/270 - 8*f**4/27 - 256*f**3/27 + 3*f**2 - 94*f. Find d, given that v(d) = 0.
-16
Let t(n) be the first derivative of 2*n**5 - 263*n**4 + 9080*n**3 + 11342*n**2 - 5618*n + 6182. Find c such that t(c) = 0.
-1, 1/5, 53
Let u(d) be the first derivative of 4*d**3/3 - 1846*d**2 - 4006. Let u(m) = 0. Calculate m.
0, 923
Suppose 68 - 420 = 8*c. Let q = c + 44. Factor 0*y + 0*y**2 + 4/3*y**5 + 2*y**3 - 10/3*y**4 + q.
2*y**3*(y - 1)*(2*y - 3)/3
Suppose 3*g - 9 = 3. Let r be -2 + g + -1 - -4. Solve 21 + 7*t - 17*t - r*t**2 - 6 = 0 for t.
-3, 1
Let p(w) be the third derivative of -73*w - 7/60*w**4 - 1/60*w**6 - 3/50*w**5 + 0 - w**2 - 1/525*w**7 - 2/15*w**3. Factor p(k).
-2*(k + 1)**3*(k + 2)/5
Let m(r) be the third derivative of r**8/504 + r**7/105 - 2*r**5/45 + 6*r**2 - r - 171. Factor m(u).
2*u**2*(u - 1)*(u + 2)**2/3
Let s = -634/535 - 5740531/5885. Let h = s + 977. What is r in 0 - h*r + 2/11*r**2 = 0?
0, 2
Let q(t) be the third derivative of t**5/15 - 739*t**4/6 - 1480*t**3/3 + 5671*t**2. Factor q(y).
4*(y - 740)*(y + 1)
Factor -2372*m + 160 + 2*m**3 + 682*m + 32*m**2 + 742*m + 796*m.
2*(m - 2)**2*(m + 20)
Let w(i) be the first derivative of i**5/70 - i**4/42 - 2*i**3/3 + 24*i**2/7 + 20*i + 211. Let p(l) be the first derivative of w(l). Let p(c) = 0. What is c?
-4, 2, 3
Let j be 762/117 + (-8 - -4)/(144/24). Factor 74/13*u - 2/13*u**2 + j.
-2*(u - 38)*(u + 1)/13
Let q(i) = -i**3 + 6*i**2 + 7*i + 3. Let d be q(7). What is m in 2*m**3 - 7*m + 6*m - 3*m**3 - d*m**2 - 6 + 7*m**2 = 0?
-1, 2, 3
Find v, given that 3*v**3 + 12883 - 501*v**2 - 13369 - 969*v + 21*v**2 = 0.
-1, 162
Factor -25*l**3 - 95*l**2 - l**4 - l**2 - 25*l**3.
-l**2*(l + 2)*(l + 48)
Determine f, given that 2/11*f**2 + 0 + 4/11*f**5 + 214/11*f**4 - 30*f**3 + 10*f = 0.
-55, -1/2, 0, 1
Let n be 29/((-7975)/(-100)) - 8/22. Let s(l) be the third derivative of 0 - 32/3*l**3 + n*l - 1/15*l**5 + 12*l**2 - 4/3*l**4. Factor s(v).
-4*(v + 4)**2
Let r = -4528 - -4546. Let j(w) be the first derivative of -12*w + r - 8*w**2 - 4/3*w**3. Suppose j(d) = 0. Calculate d.
-3, -1
Determine y, given that -1584/13 + 116/13*y**2 + 2/13*y**4 - 1080/13*y + 134/13*y**3 = 0.
-66, -2, 3
Suppose 5*o + 133 = 3*n, -5*o + 5*n - 49 = 76. Let h = 31 + o. Factor h*q - 3*q**3 - 2*q**3 + 4*q**3 - 3*q**2 - 4*q.
-q*(q + 1)*(q + 2)
Let f(t) be the second derivative of 3*t**5/40 + 67*t**4/4 + 265*t**3/4 + 99*t**2 + 1523*t. Suppose f(a) = 0. Calculate a.
-132, -1
Let l(r) = 3*r**3 + 108*r**2 - 118*r - 677. Let b(u) = -u**3 - 36*u**2 + 39*u + 226. Let p(d) = -11*b(d) - 4*l(d). Solve p(m) = 0.
-37, -2, 3
Solve 132*y + 10*y**4 + 64915*y**5 - 20*y**3 - 64914*y**5 + y**3 - 76*y**2 = 0.
-11, -3, 0, 2
Let p(y) be the first derivative of 6*y**2 + 1/8*y**4 + 0*y**3 + 1/40*y**6 + 0*y + 1/10*y**5 - 1. Let n(u) be the second derivative of p(u). Factor n(z).
3*z*(z + 1)**2
Factor 50/3*k + 23/3*k**2 + 0 - 1/3*k**3.
-k*(k - 25)*(k + 2)/3
Let g = 57 + -52. Let m be -9*1*(50/(-6) + g). Suppose -12 - 2*a**2 - m*a + 6*a - 7*a**2 = 0. What is a?
-2, -2/3
Suppose -6*q + 259 - 259 = 0. Let o(f) be the second derivative of 0 - 8*f + 0*f**2 + q*f**3 - 1/3*f**4. Solve o(k) = 0.
0
Let t = -4993 + 4993. Find w such that 12/13*w**3 + t - 14/13*w**4 + 0*w**2 + 2/13*w**5 + 0*w = 0.
0, 1, 6
Suppose -2206*r + 2237*r = 341. Let a(p) be the first derivative of -2/17*p**2 + 10/51*p**3 + 0*p - 2/17*p**4 + r + 2/85*p**5. Suppose a(w) = 0. Calculate w.
0, 1, 2
Suppose 8/5 - 232/5*h - 162/5*h**2 + 354/5*h**5 - 262*h**4 + 1342/5*h**3 = 0. What is h?
-1/3, 2/59, 1, 2
Suppose -4*a = -n + 192, 3*n + 4*a = a + 636. Suppose -n = -28*z + 16. Factor z*h**2 - 1/2*h**5 - 7*h**3 - 9/2*h + 1 + 3*h**4.
-(h - 2)*(h - 1)**4/2
What is d in -5*d**5 + 18*d**3 - 65*d - 22*d**4 + 277*d**4 - 18*d**2 - 15*d**5 + 67*d**3 - 237*d**2 = 0?
-1, -1/4, 0, 1, 13
Suppose -6*k**2 - 547*k + 6*k**2 + k**2 - 10*k**2 + 8*k**2 = 0. Calculate k.
-547, 0
Find x, given that -460/3*x - 820/3 - 25/3*x**2 = 0.
-82/5, -2
Suppose 3*r = 10*j - 7*j + 57, 0 = 4*j + 12. Let f be (-92)/(-207) - (r/(-18))/4. Factor -1/6*p**2 + f*p - 2/3.
-(p - 2)**2/6
Suppose -196 + 204 = 2*z. Let 32*r + 22*r**3 + 5*r**z - 6*r**3 - 36*r**2 - 7*r**4 - 10 = 0. What is r?
1, 5
Let m(j) be the first derivative of 17/2*j**2 - 6*j + 147 - 37/6*j**3 + 39/16*j**4 + 1/24*j**6 - 1/2*j**5. Factor m(w).
(w - 3)*(w - 2)**3*(w - 1)/4
Let v(w) be the first derivative of 18/5*w + 140 + 2/25*w**5 - 4/15*w**3 - 12/5*w**2 + 2/5*w**4. Suppose v(d) = 0. What is d?
-3, 1
Factor 5/6*h**2 + 125/6*h + 70.
5*(h + 4)*(h + 21)/6
Let w(a) be the first derivative of a**4/22 - 2*a**3/11 - 34*a**2/11 - 96*a/11 - 1717. Factor w(v).
2*(v - 8)*(v + 2)*(v + 3)/11
Let a(i) be the third derivative of 28 + 0*i**4 + 2/135*i**7 + 0*i**3 - i**2 + 0*i - 2/135*i**5 - 1/540*i**6. Find s such that a(s) = 0.
-1/2, 0, 4/7
Let t = -1419 + 1422. Let g(p) be the second derivative of 1/60*p**5 + 1/9*p**t - 1/12*p**4 + 0 + 15*p + 0*p**2. Factor g(r).
r*(r - 2)*(r - 1)/3
Let g(k) be the third derivative of k**7/210 + 43*k**6/60 + 154*k**5/5 - 43*k**4/12 - 1849*k**3/6 + 308*k**2. Find j such that g(j) = 0.
-43, -1, 1
Let j be 26406/63 - (-8)/(-7). Let f = j - 413. Suppose 22/17*c**4 + 0 + 128/17*c - 72/17*c**3 - 2/17*c**f + 32/17*c**2 = 0. Calculate c.
-1, 0, 4
Suppose 6*g + 5*k - 35 = 0, 2*g + 5*k - 10 = 5. Let r(j) be the first derivative of 1/6*j**4 - 22 - 4/9*j**2 + 0*j**3 + 0*j - 2/45*j**g. Factor r(z).
-2*z*(z - 2)**2*(z + 1)/9
Determine d, given that 205/3*d