405014. Let c(h) = 7*h**3 - 928*h**2 - 45006*h - 202506. Let f(r) = -7*c(r) + 3*g(r). Factor f(w).
5*(w + 5)*(w + 90)**2
Determine b so that -23/5*b**2 + 9/5*b**3 - 12/5*b + 0 = 0.
-4/9, 0, 3
Suppose -669 + 2*z**2 + 2982*z - 1013 - 1163 - 438 + 299 = 0. Calculate z.
-1492, 1
Factor 92/13 + 2/13*p**3 + 88/13*p**2 - 14*p.
2*(p - 1)**2*(p + 46)/13
Suppose 0 = -12*d + 93 - 69. Suppose y + 10*y**3 - 4*y + 3835*y**5 - 3841*y**5 - d*y**2 + 2*y**4 - y = 0. Calculate y.
-1, -2/3, 0, 1
Suppose -b - b - 24 = 0. Let i(n) = n - 1. Let f = -1531 + 1534. Let c(o) = -o**2 + o + 6. Let y(v) = b*i(v) + f*c(v). Factor y(g).
-3*(g - 2)*(g + 5)
Let i(p) be the first derivative of p**4/36 - 4*p**3/3 + 24*p**2 + 68*p - 8. Let y(s) be the first derivative of i(s). Find f, given that y(f) = 0.
12
Let o = 72/35 - 6/5. Find k such that o + 2*k + 10/7*k**2 + 2/7*k**3 = 0.
-3, -1
Let r(h) = h**2 + 7*h - 92. Let x be r(-14). Factor -134*p**3 + 18*p + x*p**2 + 67*p**3 + p**2 + 66*p**3.
-p*(p - 9)*(p + 2)
Factor 268/15 - 2/15*z**2 - 26/3*z.
-2*(z - 2)*(z + 67)/15
Let t(q) be the second derivative of 2*q**5/65 + 11*q**4/26 + 12*q**3/13 + 7*q**2/13 + 378*q. Factor t(f).
2*(f + 1)*(f + 7)*(4*f + 1)/13
Let o(q) be the third derivative of -q**5/15 - 515*q**4/3 - 530450*q**3/3 - 1536*q**2. Factor o(z).
-4*(z + 515)**2
Let h(v) be the second derivative of 15*v**7/14 + 295*v**6/2 + 14405*v**5/2 + 253275*v**4/2 - 353925*v**3/2 + 179685*v**2/2 + 119*v + 2. What is q in h(q) = 0?
-33, 1/3
Suppose -918*l + 145 = 5*h - 903*l, -h = -4*l + 34. Let 1/9*a**h + 22/9*a + 0 = 0. What is a?
-22, 0
Let c(o) = -o**3 + 2*o**2 + o + 3. Let g = 7 - 7. Let s be c(g). Solve 39*n**3 + 213*n**2 + s*n**4 + 695 + 336*n - 503 - 33*n**2 = 0.
-4, -1
Let w(h) = -8*h**4 + 54*h**3 + 182*h**2 + 254*h + 10. Let f(j) = j**4 - 2*j**3 - j**2 - 3*j - 1. Let u(p) = 10*f(p) + w(p). Let u(k) = 0. What is k?
-8, -7, -2, 0
Let j = 1688 - 1683. Suppose 0 = -b - t, j*t = 6*b - 8*b. Factor -4/11*n + b - 6/11*n**3 + 14/11*n**2.
-2*n*(n - 2)*(3*n - 1)/11
Let p(j) be the first derivative of j**6/540 - j**5/60 + j**4/18 - 35*j**3/3 - 3*j + 11. Let l(d) be the third derivative of p(d). Factor l(r).
2*(r - 2)*(r - 1)/3
Suppose -23*t + 4128 = -55*t. Let z = t - -133. Factor 2/7*l**3 - 1/7*l**z - 1/7*l**2 + 0 + 0*l.
-l**2*(l - 1)**2/7
Suppose -5*m + 24 = -j + 32, 2*m + 4*j = 32. Factor 0*h**3 + 0 - 2/9*h**2 + 2/9*h**4 + m*h.
2*h**2*(h - 1)*(h + 1)/9
Let o be (-4932)/(-30414) - 2104/(-1628). Solve o*f**3 - 16/11*f + 0 + 2/11*f**2 - 2/11*f**4 = 0.
-1, 0, 1, 8
Solve 5/2*y**5 + 3889/2*y**2 - 1749*y + 147/2*y**4 + 1393/2*y**3 - 968 = 0 for y.
-11, -8, -2/5, 1
Find g such that 1279227/2 + 3/2*g**2 - 1959*g = 0.
653
What is t in 3*t**5 + 53*t**4 + 258*t**2 + 149*t**2 - 429*t + 229*t**2 + 108 + 43*t**4 - 414*t**3 = 0?
-36, 1
Let i(q) be the first derivative of q**6/2 + 13*q**5/5 + 17*q**4/4 + q**3 - 4*q**2 - 4*q - 971. Factor i(l).
(l + 1)**3*(l + 2)*(3*l - 2)
Suppose 3*u = 4*k - 3, -3 + 2 = 2*u - 3*k. Let o be (-28)/70 + (-2)/u. Suppose 1/5*l**3 + 1/5*l**5 + 0*l + 2/5*l**4 + 0 + o*l**2 = 0. What is l?
-1, 0
Let i(v) be the third derivative of -11*v**8/84 - 248*v**7/35 + 34*v**6/15 + 6*v**2 + 18*v. Factor i(q).
-4*q**3*(q + 34)*(11*q - 2)
Let b(y) be the second derivative of -y**4/48 - 291*y**3/8 - 109*y**2 + 947*y. Factor b(n).
-(n + 1)*(n + 872)/4
Let m be 2*-1 + (-58)/(-29). Suppose 23 = -y + 6*y - 4*r, m = -2*y - 3*r. Find b, given that 0 + 3*b**5 + 2*b**4 + 8/3*b**2 + 0*b - 20/3*b**y = 0.
-2, 0, 2/3
Let 211/6*x**2 + 143/2*x + 42 + 1/6*x**4 + 35/6*x**3 = 0. Calculate x.
-28, -3, -1
Let h(r) be the second derivative of 0 - 1/10*r**5 - 30*r + 1/4*r**4 - 1/3*r**3 + 1/4*r**2 + 1/60*r**6. Factor h(g).
(g - 1)**4/2
Let f(j) be the first derivative of j**7/1960 - j**6/140 + 9*j**5/280 - j**4/14 + j**3/3 - 22*j - 48. Let s(k) be the third derivative of f(k). Factor s(t).
3*(t - 4)*(t - 1)**2/7
Let b be 5 + 61/(-11) - 112/(-44). Let y(g) be the third derivative of 0*g**3 + 0*g**4 - 13*g**b + 1/315*g**7 - 1/45*g**5 - 1/180*g**6 + 0*g + 0. Factor y(s).
2*s**2*(s - 2)*(s + 1)/3
Let n(o) = o**2 - o. Let y(l) = -2*l**5 + 7*l**4 + 5*l**3 - 7*l**2 + 3*l. Let c(q) = -3*n(q) - y(q). Solve c(h) = 0 for h.
-1, 0, 1/2, 4
Determine d so that -14*d**3 + 2*d**4 + 167*d**2 - 119*d**2 - 24*d**2 = 0.
0, 3, 4
Let r be ((-26)/(-5))/1 - 1/5. Suppose -62*u - 520 = -72*u. Factor 49*f**3 + 3*f**r - 4*f**3 + u*f**4 - 27*f**2 - 73*f**4.
3*f**2*(f - 3)**2*(f - 1)
Let n(t) be the first derivative of -t**5/300 - 3*t**4/20 + 4*t**3/3 + 217*t**2/2 - 120. Let x(o) be the second derivative of n(o). Factor x(u).
-(u - 2)*(u + 20)/5
Let f(a) = -2*a**2 + 2*a + 13. Suppose -2*o = -67 + 73. Let r(j) = 4*j**2 - 2*j - 27. Let z(m) = o*r(m) - 5*f(m). Factor z(c).
-2*(c - 2)*(c + 4)
Let o(n) = 4*n**2 - 27*n - 28. Let u be o(-1). Suppose -u*v = 4*v - 16*v. Factor v + 36/5*d - 3/5*d**2.
-3*d*(d - 12)/5
Let j = -247 + 250. Suppose -13*v**3 + 5*v - 3 - 3 + 6 - 12*v**j - 20*v**2 = 0. What is v?
-1, 0, 1/5
Let r(d) = 40*d**2 + 1640*d. Let c(q) = -3*q**2 + 2*q. Let j(t) = -12*c(t) - r(t). Factor j(g).
-4*g*(g + 416)
Let b be (-6 - 1)*8 - (6 + -9). Let l = b + 54. Let x(t) = -t. Let s(n) = n**2 - 5*n - 2. Let z(p) = l*s(p) - 4*x(p). Suppose z(c) = 0. Calculate c.
-1, 2
Let p(d) = -8*d**4 + 6*d**3 - 90*d**2 + 110*d - 48. Let g(h) = 6*h**4 - 8*h**3 + 91*h**2 - 112*h + 48. Let i(n) = -6*g(n) - 5*p(n). Factor i(r).
2*(r - 1)**2*(r + 8)*(2*r - 3)
Suppose -1812 = -47*k + 59*k. Let w = 153 + k. Let 3*c**w - 3/2*c + 3/2*c**5 - 3*c**4 + 0*c**3 + 0 = 0. What is c?
-1, 0, 1
Let d(y) be the second derivative of -y**5/20 + 7*y**4/3 + 10*y**3 + 6*y + 392. Factor d(v).
-v*(v - 30)*(v + 2)
Let n(t) be the second derivative of t**4/42 - 34*t**3/3 + 2023*t**2 - 18*t + 8. Factor n(v).
2*(v - 119)**2/7
Suppose 36 = 13*l - 159. Solve -24*n + 18*n**2 - 6 - l*n**2 - 7 - 14*n = 0 for n.
-1/3, 13
Let w(q) = -q**4 - q**3 - q**2 + 1. Let f(o) = 140*o**3 - 835*o**2 - 980*o - 5. Let d(p) = -f(p) - 5*w(p). Factor d(y).
5*y*(y - 14)**2*(y + 1)
Let r(i) be the third derivative of -i**8/2016 + i**7/126 - i**6/24 + i**5/18 + 31*i**4/144 - 5*i**3/6 + 4*i**2 + 2*i + 8. Find v such that r(v) = 0.
-1, 1, 2, 3, 5
Determine l, given that 75/2*l - 147/4*l**2 + 0 - 3/4*l**3 = 0.
-50, 0, 1
Factor -1/8*s + 75 - 1/8*s**2.
-(s - 24)*(s + 25)/8
Let b(y) = -12*y**4 + 100*y**3 + 656*y**2 + 768*y - 16. Let o(w) = 5*w**4 - 43*w**3 - 281*w**2 - 329*w + 7. Let f(h) = -7*b(h) - 16*o(h). Factor f(z).
4*z*(z - 7)*(z + 2)**2
Let n(r) be the second derivative of 0*r**2 - 1/15*r**3 + 0 - 1/20*r**4 + 61*r - 1/100*r**5. Factor n(i).
-i*(i + 1)*(i + 2)/5
Let t(p) be the first derivative of 17 - 49/48*p**4 - 1/720*p**6 + 0*p**2 - 14/3*p**3 + 0*p - 7/120*p**5. Let h(k) be the third derivative of t(k). Factor h(m).
-(m + 7)**2/2
Let q(x) = 2*x**3 - 99*x**2 - 149*x - 202. Let m be q(51). Let -3/2*z - 1/2*z**m + 9 = 0. What is z?
-6, 3
Factor -294 + 1/3*m**3 - 44/3*m**2 + 175*m.
(m - 21)**2*(m - 2)/3
Let b be ((-7)/((-7)/150))/2. Let m = -70 + b. Factor -z**2 - m*z**2 + z**2.
-5*z**2
Solve 88/5*b - 244/5*b**2 - 88/5*b**3 - 2/5*b**4 + 246/5 = 0 for b.
-41, -3, -1, 1
Let a(b) = 31*b**3 + 345*b**2 - 49*b + 11. Let l(u) = 23*u**3 + 250*u**2 - 37*u + 8. Let f(k) = 8*a(k) - 11*l(k). Factor f(y).
-5*y*(y - 3)*(y + 1)
Let a be (-58)/(-15) - (-10)/30. Suppose -83*k = -26*k - 171. Factor -9/5*v + 0 - 3*v**k - 3/5*v**4 - a*v**2.
-3*v*(v + 1)**2*(v + 3)/5
Let b(n) be the first derivative of -2*n**3/27 - 22*n**2/9 + 640*n/9 + 7335. Suppose b(y) = 0. Calculate y.
-32, 10
Let y(b) be the first derivative of -9*b**4/20 + 209*b**3/15 - 527*b**2/5 + 224*b/5 - 2613. Factor y(r).
-(r - 16)*(r - 7)*(9*r - 2)/5
Let i be (0 - 2/(-4))/((800/(-590))/(-40)). Factor 19/2 + 3/4*b**2 - i*b.
(b - 19)*(3*b - 2)/4
Let h(r) be the first derivative of -1/4*r**4 + 29 + 4/3*r**3 - 1/2*r**2 - 6*r. Factor h(f).
-(f - 3)*(f - 2)*(f + 1)
Let m(u) = -u**2 + 3*u + 6. Let k be m(4). Let -422*c**2 - 48*c + 426*c**k + 8*c = 0. What is c?
0, 10
Let l be (-23 + -1)/(-4) - ((-627)/(-22) - 35). What is w in 1/2*w**3 - l - 11/2*w**2 + 35/2*w = 0?
1, 5
Let d = -513 - -519. Let k(p) be the first derivative of 30 - 88/25*p**5 + 0*p**2 - 32/15*p**3 + 0*p - 2/3*p**d - 28/5*p**4. Find c, given that k(c) = 0.
-2