
Factor 92*b**2 - 385/2*b - 8*b**3 + 225/2.
-(b - 9)*(4*b - 5)**2/2
Suppose 564/17 + 2254/17*j - 8/17*j**2 = 0. Calculate j.
-1/4, 282
Let p(w) be the third derivative of -1/130*w**5 - 1/260*w**6 + 0*w**3 + 0*w + 65*w**2 - 1/156*w**4 + 1 - 1/1365*w**7. Factor p(q).
-2*q*(q + 1)**3/13
Let i be 3367/(-91) + (-995)/(-20). Solve -i*o + 63/2 + 3/4*o**2 = 0.
3, 14
Let w(v) = -18*v**2 - 178*v - 152. Let x(s) = -s**2 - 9*s. Let k(i) = w(i) - x(i). Factor k(q).
-(q + 1)*(17*q + 152)
Find d, given that 641*d - 4*d**2 - 3348 + 1232*d + 493*d - 688*d + 2*d**2 = 0.
2, 837
Let j(a) be the third derivative of 0 + 0*a + 1/14*a**3 + 1/42*a**4 + 45*a**2 + 1/420*a**5. Solve j(z) = 0 for z.
-3, -1
Let a(u) be the first derivative of -3/4*u**4 + 0*u - 316 - 13/3*u**3 + 5*u**2 + u**5 + 1/6*u**6. Factor a(m).
m*(m - 1)**2*(m + 2)*(m + 5)
Let o(z) be the first derivative of -z**5/9 - 11*z**4/36 - z**3/9 - 3*z**2 - 1. Let h(r) be the second derivative of o(r). Factor h(p).
-2*(p + 1)*(10*p + 1)/3
Let h be (9/196*40/30)/(927/2163). Factor 36/7 + h*z**2 + 12/7*z.
(z + 6)**2/7
Let j = 197 - 193. Factor -68*o**2 - 2*o**j + 63*o**2 + 7*o**4.
5*o**2*(o - 1)*(o + 1)
Factor 94*w**4 - 2*w**5 + 1230*w**3 - 1230 + 2970*w**2 - 3*w**5 + 90*w + 45*w - 3225 + 31*w**4.
-5*(w - 33)*(w - 1)*(w + 3)**3
Let a be (-22 + 1)*(-9)/(-81)*-3. Let s be 0/((a - 1)/6). Factor -15/8*d**2 + 3/4*d - 3/8*d**4 + 3/2*d**3 + s.
-3*d*(d - 2)*(d - 1)**2/8
Factor 3/2*a**2 + 747*a + 0.
3*a*(a + 498)/2
Let l(r) = -r**2 + r. Let j = 135 - 134. Let v(u) = 6*u**2 - 45*u + 147. Let d(s) = j*v(s) + 3*l(s). Factor d(i).
3*(i - 7)**2
Let d(y) be the first derivative of y**5/10 - 5*y**4/6 + 2*y**3/3 + 8*y**2 - 5*y + 20. Let x(p) be the first derivative of d(p). Suppose x(m) = 0. What is m?
-1, 2, 4
Let h(l) be the first derivative of 3*l**5/20 - 13*l**4/14 - 4*l**3/7 - 97*l - 25. Let n(f) be the first derivative of h(f). Factor n(j).
3*j*(j - 4)*(7*j + 2)/7
Let j(r) = -13*r**3 - 3*r**2 - 2*r - 3. Let t be j(3). Let z = t - -389. Find k such that -24/7 + 4/7*k**z + 4/7*k = 0.
-3, 2
Suppose 8*j - 6*j = 72. Let y = 39 - j. Let 0*c - 4*c**y - 3*c**3 + 11*c**3 - 2*c**5 - 2*c = 0. Calculate c.
-1, 0, 1
Suppose -5*l + 65 = -3*l - 3*c, 2*l - 2*c - 60 = 0. Solve 80*m - 270 - 300 + 510 + l*m**3 + 165*m**2 = 0.
-6, -1, 2/5
Let s be (-49)/14*(((-2448)/(-135))/(-16) + 2/(-30)). Factor 0 - s*z**3 - 114/5*z - 81*z**2.
-3*z*(z + 19)*(7*z + 2)/5
Let w(d) = -d**3 - 60*d**2 + 188*d - 24. Let b be w(-63). Let k(c) be the first derivative of 4/3*c**3 - 10*c**2 + 24*c + b. Factor k(n).
4*(n - 3)*(n - 2)
Let r(u) = 6*u**3 + 32*u**2 - 134*u + 16. Let v(n) = -7*n**3 - 31*n**2 + 136*n - 20. Let a(t) = -5*r(t) - 4*v(t). Factor a(x).
-2*x*(x - 3)*(x + 21)
Let f(s) be the first derivative of -s**3/12 - 127*s**2/24 - 7*s/2 + 714. Factor f(k).
-(k + 42)*(3*k + 1)/12
Factor -2/11*s**2 - 5488/11*s - 3764768/11.
-2*(s + 1372)**2/11
Let h(l) = -10*l**2 - 96 - 4*l - l**3 - 4*l - 10*l + 80. Let b be h(-8). Determine q so that -1/3*q**4 + 1/3*q**2 + b + 2/3*q - 2/3*q**3 = 0.
-2, -1, 0, 1
Determine o so that -5/4*o**4 + 2065/4*o + 375/4*o**2 + 775/2 - 145/4*o**3 = 0.
-31, -2, -1, 5
Let u(x) be the second derivative of -1/20*x**4 - 6/5*x**2 + 164*x - 1/2*x**3 + 0. Let u(r) = 0. Calculate r.
-4, -1
Let t(l) be the third derivative of -106*l**2 + 8/3*l**3 + 0 + 0*l - 1/60*l**5 + 0*l**4. Suppose t(u) = 0. Calculate u.
-4, 4
Let r(j) be the first derivative of -47524*j**3/21 - 436*j**2/7 - 4*j/7 - 891. What is x in r(x) = 0?
-1/109
Let s = -270009 + 1890067/7. Factor -4*b**3 - 4/7*b**4 + 4*b + s*b**2 + 0.
-4*b*(b - 1)*(b + 1)*(b + 7)/7
Let k(g) = -g**2 + 10*g + 56. Let u be k(14). Suppose -a + 5*c - 10 = u, -4*c + 8 = 4*a - 7*a. Let 0*z - 2/11*z**4 - 4/11*z**3 - 2/11*z**2 + a = 0. What is z?
-1, 0
Let t be 8 + (-2)/1 - (-1 - 0). Suppose -4*b = 9*b + t*b. Factor 1/3*s**2 - 4/3 + b*s.
(s - 2)*(s + 2)/3
Factor 10*w**2 + 44*w**3 + 3*w**2 + 2*w**2 - 49*w**3.
-5*w**2*(w - 3)
Let g(y) = y**2 - 3*y - 2. Let l be g(-3). Suppose 0 = -5*s + r + 399, 0*r - 4*r = l. Factor -s - 60*q**2 - 4*q**3 + 151*q - 451*q - 421.
-4*(q + 5)**3
Suppose 136 - 11 = 5*x. Suppose -10 - 22*h**2 - 27*h**2 + 15*h + 69*h**2 - x*h**2 = 0. Calculate h.
1, 2
Suppose -4 = -6*u + 4*u. Factor 115*t**2 + 2*t**3 + u*t - 4*t - 6 - 109*t**2 + 0*t.
2*(t - 1)*(t + 1)*(t + 3)
Let h(t) be the second derivative of t**4/9 - t**3/18 - 5*t**2/6 - 454*t - 1. Factor h(c).
(c + 1)*(4*c - 5)/3
Factor -438*x**2 + 232*x**2 + 68 + 5*x + 65*x + 208*x**2.
2*(x + 1)*(x + 34)
Determine t so that -14*t**3 + 0*t - 12*t**2 + 0 - 2/3*t**5 - 16/3*t**4 = 0.
-3, -2, 0
Let m be 1/(-8) - 1936/(-128). Factor 14*q**2 - 46*q**2 - m + 9 - 18*q**3 + q**5 - 2*q**4 - 23*q.
(q - 6)*(q + 1)**4
Let l(f) be the second derivative of -f**6/24 + f**5/6 - 35*f**2/2 + 2*f - 20. Let k(i) be the first derivative of l(i). Solve k(s) = 0 for s.
0, 2
Let p(v) be the first derivative of -6/5*v + 1/5*v**2 - 122 - 1/10*v**4 + 2/5*v**3. Suppose p(h) = 0. What is h?
-1, 1, 3
Let j(s) be the second derivative of -7/12*s**4 - 5/6*s**3 - 5 - 3*s + s**2. Suppose j(x) = 0. Calculate x.
-1, 2/7
Let x(o) be the third derivative of -o**7/3780 - o**6/1620 + 11*o**4/24 - 23*o**2. Let b(g) be the second derivative of x(g). Factor b(q).
-2*q*(3*q + 2)/9
Let h(p) be the first derivative of 2*p**5/5 + 131*p**4/2 - 266*p**3/3 - 131*p**2 + 264*p - 9585. Factor h(u).
2*(u - 1)**2*(u + 1)*(u + 132)
Let r(l) be the first derivative of -2350/3*l**3 + 5/6*l**6 + 3190*l**2 + 16*l**5 - 4840*l + 5/4*l**4 + 220. Factor r(g).
5*(g - 2)**3*(g + 11)**2
Let g(f) = f**3 + f**2 - 2*f + 1. Let c(j) = 3*j + 27*j**2 + 13*j**2 - 39*j + 20*j**3 - 32*j + 32. Let d(q) = c(q) - 24*g(q). Factor d(w).
-4*(w - 2)*(w - 1)**2
Let k = -5878869/354004 - 9/25286. Let h = k + 118/7. Factor h*o**2 - o + 3/4.
(o - 3)*(o - 1)/4
Let y(b) = -b**2 + 59*b + 22*b - 1 - 8*b**2 - 9*b**2 + 21*b**2. Let w(z) = -2*z**2 + z - 1. Let h(u) = w(u) - y(u). Factor h(q).
-5*q*(q + 16)
Find c, given that -2*c + 0 + 1/3*c**2 + 19/9*c**3 - 1/3*c**4 - 1/9*c**5 = 0.
-6, -1, 0, 1, 3
Factor 11/2*u**2 - 1/8*u**3 - 288 - 48*u.
-(u - 24)**2*(u + 4)/8
Let q(m) be the first derivative of 8*m + 45 - 2/3*m**3 - 4/5*m**2 + 1/10*m**4. Solve q(k) = 0 for k.
-2, 2, 5
Suppose 204 = -4*i + 5*g + 384, 216 = 5*i - 7*g. Factor 3/5*h**2 - 12*h + i.
3*(h - 10)**2/5
Suppose -18*v + 3*o + 128 = 14, -5*o = 10. Let 1/3*g**3 - 1/6*g**4 + 11/6*g**2 - 2*g - v = 0. Calculate g.
-2, 3
Let k(b) be the first derivative of 4/3*b**3 + 261 + 3364*b + 116*b**2. Factor k(t).
4*(t + 29)**2
Find h such that -50134 - 39*h - 50145 + h**2 - 50025 + 150502 = 0.
6, 33
Let n be ((-48)/(-12) - 4)*(-1)/2. Factor 11 - z - 5*z - 7 + n*z**2 + 2*z**2.
2*(z - 2)*(z - 1)
Find k such that 1995*k - 107*k**3 - 99*k**3 + 2205 - 205*k**2 - 108*k**3 + 319*k**3 = 0.
-1, 21
Let a(s) = -s**2 + 4*s - 14 + 13 - 2*s + s. Let c(x) = -27*x + 26. Let b(u) = 5*a(u) + 5*c(u). What is g in b(g) = 0?
-25, 1
Let x(r) be the third derivative of r**7/735 + r**6/84 - r**5/35 - 8*r**4/21 + 32*r**3/21 - r**2 + 58*r - 25. Factor x(o).
2*(o - 2)*(o - 1)*(o + 4)**2/7
Let t be 1236/(-42) + 6/14. Let q = 17 - t. Factor 39*y**2 - 4*y**5 - 8*y - 36*y**3 - 21*y**2 - q*y**2 - 20*y**4.
-4*y*(y + 1)**3*(y + 2)
Suppose 1328*k**2 - 143*k**4 - 168*k**4 - 1324*k**3 + 307*k**4 = 0. What is k?
-332, 0, 1
Let n(k) be the second derivative of 18*k + 0 - 7/2*k**3 - 1/8*k**4 - 39/4*k**2. Let n(v) = 0. Calculate v.
-13, -1
Let o(r) = 6*r**2 + 4*r + 4. Let d be (-6)/(-1) + (4 - 7). Let j be o(d). Factor -2*t**2 + j - 139 + 69 - 2*t.
-2*t*(t + 1)
Let n(y) be the second derivative of y**5/10 + 1909*y**4/6 - 3821*y**3/3 + 1911*y**2 - 757*y + 6. Solve n(f) = 0.
-1911, 1
Let w(t) be the first derivative of 1331/5*t - 128/5*t**4 + 704/5*t**3 - 116 - 1452/5*t**2. Find r such that w(r) = 0.
11/8
Let t(q) be the first derivative of 2*q**3/3 - 248*q**2 - 498*q + 3336. Factor t(r).
2*(r - 249)*(r + 1)
Let a(w) = 2*w + 14. Let n(o) = -2*o - 14. Let l be n(-4). Let u be a(l). Let -8*r**2 - 3*r**4 - 3 - 12*r**3 - 12*r + 0 - 14*r**2 + 4*r**u = 0. What is r?
-1
Let u(j) be the second derivative of -4/3*j**3 + 2/5*j**5 + 6 - 8*j**2 + 5/4*j**4 + 3*j + 1/30*j**6. Suppose u(o) = 0. Calculate o.
-4, -1, 1
Factor -1269/5*w + 1/5*w**2 - 2542/5