 + z*o**2.
5*(o - 4)*(o + 7)**2/6
Let f = -11520 + 23049/2. Let t(n) be the first derivative of -f*n - 21/8*n**2 - 2/3*n**3 - 20 - 1/16*n**4. Solve t(o) = 0 for o.
-3, -2
Let b(p) = -4*p**3 + 8*p**2 + 76*p - 2. Let g(m) = -m**3 + m**2 + 25*m - 1. Let a(o) = -12*b(o) + 39*g(o). Solve a(w) = 0.
1/3, 1, 5
Let o be 3/(-4 + 27/7). Let n be o/98*1*-8. Factor 2/7*f**3 + 18/7*f + n*f**2 + 0.
2*f*(f + 3)**2/7
Let p(g) be the first derivative of 235 - 3/22*g**4 + 10/11*g**3 - 6/55*g**5 + 0*g - 9/11*g**2. Determine l, given that p(l) = 0.
-3, 0, 1
Suppose -121*k + 119*k = 2*l - 48, -4*l + 57 = k. Determine t, given that 1/4*t**2 + 51/4 - k*t = 0.
1, 51
Let l(m) be the third derivative of -m**8/784 + 8*m**7/245 - m**6/14 - 20*m**5/7 - 167*m**2 + 2*m. Determine x, given that l(x) = 0.
-4, 0, 10
Let l(g) = 20*g + 23. Let z be l(-1). Factor 28 - 18 - 10 - 3*n**4 - 9*n**z.
-3*n**3*(n + 3)
Let b(c) = -5*c**3 - 59*c**2 - 3*c - 3. Let m(p) = -26*p - 532*p**2 - 22*p**3 - 13 - 32*p**3 - 10*p**3 + 20*p**3 - 13. Let i(v) = 52*b(v) - 6*m(v). Factor i(x).
4*x**2*(x + 31)
Let n(i) be the third derivative of -i**6/720 + 4*i**5/45 - 7*i**4/48 - 245*i**3/2 - 8*i**2. Factor n(y).
-(y - 21)**2*(y + 10)/6
Let b(s) = -5*s + 168. Let m be b(34). Let g be 1/m*(-3)/(3/1). Determine v so that -1/2*v**2 + g + 1/4*v**3 - 1/4*v = 0.
-1, 1, 2
Let c be (15640/235)/8 + -7. Let n = c + 2/141. Solve -n*j**4 + 0*j + 0 + 2/3*j**3 + 0*j**2 = 0.
0, 1/2
What is u in 5 - 2/3*u**2 + 29/3*u = 0?
-1/2, 15
Let o = 378 - -803. Let m = -5903/5 + o. Factor -2*i**2 - 4/5*i - m*i**4 + 0 - 8/5*i**3.
-2*i*(i + 1)**2*(i + 2)/5
Let t(s) = -68*s**3 - 48124*s**2 + 96196*s - 48324. Let z(v) = -15*v**3 - 10694*v**2 + 21377*v - 10738. Let f(m) = 7*t(m) - 32*z(m). Solve f(j) = 0.
-1337, 1
Factor -2/23*s**2 - 76/23*s + 0.
-2*s*(s + 38)/23
Let y(j) be the first derivative of -2*j**6/3 - 4*j**5/5 + 2*j**4 - 154. Suppose y(n) = 0. What is n?
-2, 0, 1
Factor -48 + 308/3*v + 4/3*v**4 + 4*v**3 - 60*v**2.
4*(v - 4)*(v - 1)**2*(v + 9)/3
Let m(n) be the second derivative of -n + 45*n**2 - 1/4*n**5 + 9 - 5/3*n**4 + 5/2*n**3. Factor m(h).
-5*(h - 2)*(h + 3)**2
Let d(a) be the second derivative of -a**8/1344 - 5*a**7/504 - a**6/24 + 11*a**4/6 - 3*a**2/2 + a - 66. Let x(u) be the third derivative of d(u). Factor x(j).
-5*j*(j + 2)*(j + 3)
Determine m, given that -356/11*m**2 + 2/11*m + 178/11 + 178/11*m**4 - 4/11*m**3 + 2/11*m**5 = 0.
-89, -1, 1
Let z = -2 + 14. Let y = 632 - 629. Let z*m**2 + 2 + 4*m**y + 31 - 36*m - 13 = 0. What is m?
-5, 1
Let k = 156 - 1871/12. Let n(z) be the first derivative of -k*z**3 + 1/2*z + 15 + 1/8*z**2. Determine p, given that n(p) = 0.
-1, 2
Let a(o) be the second derivative of -o**9/7560 - o**8/2100 + o**7/300 - o**6/225 - 19*o**3/6 + 110*o. Let y(g) be the second derivative of a(g). Factor y(n).
-2*n**2*(n - 1)**2*(n + 4)/5
Suppose 2/3*m**3 + 0 - 86/3*m**2 - 60*m = 0. What is m?
-2, 0, 45
Suppose 130 - 94 = 3*n. Suppose 3*s = n*s - 3348. Factor -132*a**3 + 47*a**4 - 464*a - 48 - 1244*a**2 + 5*a**4 - s*a**3 + 272*a**4.
4*(a - 3)*(a + 1)*(9*a + 2)**2
Let g be 8330/102 - 34 - 30/(-18). What is c in 4/3*c**2 - g*c + 0 = 0?
0, 37
Let y(g) = -14*g + 114. Let b be y(8). Find a such that -2 + 46*a**2 + 72*a + 14*a**3 - 43*a**b + a**4 + 2 + 54*a**2 = 0.
-8, -3, 0
Suppose 9 + r**4 - 35*r**3 + 63/2*r - 10*r**2 + 7/2*r**5 = 0. What is r?
-3, -1, -2/7, 1, 3
Determine x so that 0 + 2/5*x**4 + 256/5*x**3 + 8906/5*x**2 + 44652/5*x = 0.
-61, -6, 0
What is b in -b + 13/4*b**2 - 1/4*b**5 + 7/4*b**4 + 0 - 15/4*b**3 = 0?
0, 1, 4
Factor -2/9*y**4 - 424*y**2 + 0 + 3168*y + 160/9*y**3.
-2*y*(y - 44)*(y - 18)**2/9
Let o(m) = m**3 - 4*m**2 + 7*m - 4. Let g be o(2). Find r, given that -5*r**5 + 20*r**3 - 55*r**4 + r**g + 19*r**2 + 50*r**4 = 0.
-2, -1, 0, 2
Let o(i) be the second derivative of -i**7/189 + 4*i**6/27 - 34*i**5/45 + 32*i**4/27 - 2919*i. What is f in o(f) = 0?
0, 2, 16
Suppose -z = -f - 6*z - 5, -2*z = 5*f - 21. Suppose -7*n - 51*n - 161 + 165 - f*n**2 + 236 - 7*n = 0. Calculate n.
-16, 3
Suppose 0 = -6*z + 157*g - 156*g - 12, -5*z - 36 = -3*g. Factor 8/5 - 6/5*r**2 + 2/5*r**3 + z*r.
2*(r - 2)**2*(r + 1)/5
Let n = 554 - 552. Factor 2*d**n - d**2 + 10985 - 3*d**2 - 460*d + 7*d**2 - 405.
5*(d - 46)**2
Let p(d) be the first derivative of -d**4/6 - 24*d**3 - 1296*d**2 + 66*d + 241. Let t(b) be the first derivative of p(b). Determine z so that t(z) = 0.
-36
Determine m so that 1/2*m**2 + 569*m + 323761/2 = 0.
-569
Determine u, given that -949*u**4 + 1906*u**4 - 945*u**4 - 724*u - 500*u**2 - 219 + 724*u**3 + 367 + 340 = 0.
-61, -1, 2/3, 1
What is d in -432/5*d**3 + 3/5*d**5 + 0 + 246*d**2 - 135*d - 126/5*d**4 = 0?
-5, 0, 1, 45
Find c such that -68*c**2 + 8*c**3 - 256 + 704/3*c - 1/3*c**4 = 0.
2, 6, 8
Let z(b) = 2*b - 6. Let s(d) = 3*d - 13. Let j(w) = -3*s(w) + 5*z(w). Let f be j(-7). Factor 8*u**3 - 7 + u - 5*u + f*u**4 + 5 - 4*u**3.
2*(u - 1)*(u + 1)**3
Let q = -74311 + 74314. Factor 9/2*y**2 + q*y**3 - 18 - 69/2*y.
3*(y - 3)*(y + 4)*(2*y + 1)/2
Let c be -7 + (-496)/(-72) + (-398)/(-828). Let n = c - -3/23. Let 1/4*r**5 + n*r**3 - r**2 - 3/4*r + r**4 + 0 = 0. What is r?
-3, -1, 0, 1
Let x(b) be the second derivative of -b**4/66 - 169*b**3/33 + 2822*b. Factor x(u).
-2*u*(u + 169)/11
Let l(m) be the second derivative of 7*m**4 - 104/3*m**3 - 3/4*m**5 + 1/30*m**6 + 0 + 301*m + 96*m**2. Suppose l(v) = 0. What is v?
3, 4
Let m(o) be the second derivative of 1/8*o**5 + 3*o - 15 + 25/24*o**4 + 35/12*o**3 + 15/4*o**2. Factor m(h).
5*(h + 1)**2*(h + 3)/2
Let m = -11995155/60688166 + 1/65186. Let c = 20/49 + m. Determine v so that 6/19*v**4 + 6/19*v - c*v**3 - 2/19*v**5 - 2/19 - 4/19*v**2 = 0.
-1, 1
Find l such that -163057 + 162993 - 68*l + 8*l**2 + 68*l**3 + 4*l**4 + 52*l**2 = 0.
-16, -1, 1
Let w(t) be the first derivative of 5/3*t**3 + 56 + 5*t**2 - 5/4*t**4 + 0*t. Factor w(q).
-5*q*(q - 2)*(q + 1)
Let g(m) be the second derivative of -m**6/900 + 23*m**5/450 - 2*m**4/3 - 16*m**3/5 - 37*m**2/2 + 170*m. Let t(b) be the first derivative of g(b). Factor t(h).
-2*(h - 12)**2*(h + 1)/15
Let v(x) = -10*x + 5. Let t be v(0). Factor 35*n**2 + 0*n**5 + 16 - 55*n**2 + 16*n**4 + n - 12*n**2 + n**t - 2*n**3.
(n - 1)**2*(n + 1)**2*(n + 16)
Let p = 161 - 155. Factor -95*s - p*s**2 - 6*s**2 - 8*s**3 + 91*s.
-4*s*(s + 1)*(2*s + 1)
Suppose 33*s + 567 = -554 + 1187. Factor -8/9*w**s - 4*w - 40/9.
-4*(w + 2)*(2*w + 5)/9
Let l = 1/6525 + 19571/26100. Let y(d) be the first derivative of 0*d + l*d**4 + 0*d**2 + d**3 - 18. Solve y(g) = 0 for g.
-1, 0
Let v(k) be the second derivative of -k**5/80 + k**4/12 + 7*k**3/24 - 5*k**2/4 + 6*k - 4. Factor v(h).
-(h - 5)*(h - 1)*(h + 2)/4
Let a(m) = -m**3 - 12*m**2 + 170*m + 1438. Let d be a(-7). Factor -2/7*s**d - 60/7*s**2 - 2000/7 - 600/7*s.
-2*(s + 10)**3/7
Suppose g - 2*n - 32 = 0, -5*g - 722 + 875 = -3*n. Let k(u) be the first derivative of -35/3*u**3 + 17 + 5/4*u**4 - g*u + u**5 - 65/2*u**2. Factor k(f).
5*(f - 3)*(f + 1)**2*(f + 2)
Let u(q) = -2*q**3 + 37*q**2 + 63*q - 2505. Let i be u(11). Factor 43/3*r + 14/3*r**2 + 10 + 1/3*r**i.
(r + 1)*(r + 3)*(r + 10)/3
Suppose 2 = -4*h + 2*k, 3*h + 2 = -2*k + 25. Let d = 32/87 + 1214/957. What is c in -2/11*c**h + 0 - d*c**2 - 16/11*c = 0?
-8, -1, 0
Let c(h) be the first derivative of -10 - 7*h + 2/3*h**3 - 2*h**2. Let n(j) = j**2 - 2*j - 4. Let b(q) = -4*c(q) + 7*n(q). Find x such that b(x) = 0.
0, 2
Let i = 1096852 - 1096850. Find w such that 90*w + 185/2 - 5/2*w**i = 0.
-1, 37
Suppose -m = r - 19, -5*m - 8*r = 1457 - 1600. Factor 0*c - 14/17*c**m + 20/17*c**2 + 2/17*c**4 + 0.
2*c**2*(c - 5)*(c - 2)/17
Let b = 72435/1981 + 13/1981. Let s(t) be the third derivative of 0 - 6/35*t**5 + 0*t - 1/280*t**6 - b*t**3 - 24/7*t**4 + 24*t**2. Let s(u) = 0. What is u?
-8
Let m be (-459)/(-14) + -16 + 217/14. Let w = m + -1123/35. Factor -3/5*x**2 + w*x**3 - 1/5*x + 3/5.
(x - 3)*(x - 1)*(x + 1)/5
Let u(b) = 2*b**3 + 2*b**2 - 6*b. Let l(s) = -4*s**3 - 4*s**2 + 13*s. Suppose 123*f - 119*f - 32 = 0. Let k = 6 - f. Let w(t) = k*l(t) - 5*u(t). Factor w(y).
-2*y*(y - 1)*(y + 2)
Factor -320 - 891*o**2 + 935*o**2 - 56*o + 688*o**3 - 692*o**3.
-4*(o - 8)*(o - 5)*(o + 2)
Let y(g) be the third derivative of -g**6/72 - 1531*g**5/36 + 5*g**4/72 + 7655*g**3/18 + 28*g**2 - 155