*7 - 1/220*o**5 + 7/1320*o**6 + 85*o**2 + 0*o + 0*o**3 + 0 + 1/3696*o**8 + 0*o**4. Factor c(h).
h**2*(h - 3)*(h - 1)**2/11
Let t(h) = -2*h**2 + 5*h + 7. Let p be t(3). Let o(n) = 11*n - 27. Let f be o(4). Factor 6*m**3 + 5 - 18*m + 14*m**4 - 5 - f*m**p + 15*m**2.
-3*m*(m - 3)*(m - 1)*(m + 2)
Find y such that 405/7*y - 58 + 1/7*y**2 = 0.
-406, 1
Factor 2/7*z**4 + 1/7*z**5 - 3/7*z**3 + 0*z**2 + 0*z + 0.
z**3*(z - 1)*(z + 3)/7
Let w = 497/3 - 1979/12. Let o(y) = 9*y**2 - 2*y. Let d be o(0). Determine r, given that 0 - 3/4*r**3 + d*r**2 + w*r = 0.
-1, 0, 1
Let y = -386071 - -3088575/8. Solve -1/8*s**2 + y*s + 9/4 = 0.
-2, 9
Suppose -33 + 53 = 5*y. Factor j**2 + 2*j**2 + 3*j**2 - 2*j**2 - y + 2*j - 3*j + j**3.
(j - 1)*(j + 1)*(j + 4)
Let a(x) = 7*x**4 - 4070*x**3 + 4079*x**2 - 8*x - 12. Let k(s) = -11*s**4 + 8140*s**3 - 8157*s**2 + 14*s + 21. Let g(w) = -7*a(w) - 4*k(w). Solve g(t) = 0.
-815, 0, 1
Suppose -j - 2*j + 175 = -2*v, -2*v = 2*j - 110. Let c = 78 - j. Suppose 20*g - 91*g**2 + c*g**2 - 50*g**2 + 80*g**3 + 25*g**3 + 245*g**4 = 0. What is g?
-1, 0, 2/7
Let j = -68183 + 477285/7. Let -j*w**2 - 2/7*w**3 + 8/7*w + 16/7 = 0. Calculate w.
-2, 2
Let j be 120/(-35) - (-6)/14. Let y be ((-1)/1)/(j/66 + 0). Find x such that -x**3 - 9*x**5 + 60*x + 2 + y*x**3 + 81*x**2 - 21*x**4 + 10 = 0.
-2, -1, -1/3, 2
Let s be (-120)/340 + (-1144)/(-544). Solve -s*h**3 - 5/4*h**5 + 0*h - 11/4*h**4 - 1/4*h**2 + 0 = 0.
-1, -1/5, 0
Suppose 9*k - k - 128 = 0. Suppose -6*y**3 - 482*y**2 + 2*y**3 + k*y + 470*y**2 = 0. What is y?
-4, 0, 1
Let v(p) be the third derivative of -p**7/105 - 12*p**6/5 - 864*p**5/5 - 3786*p**2. Suppose v(m) = 0. Calculate m.
-72, 0
Let h(n) be the first derivative of -11881*n**3/18 - 109*n**2/3 - 2*n/3 - 906. Solve h(z) = 0 for z.
-2/109
Suppose -4*m = -z - 5, -15*m = -19*m + 4*z + 20. Let n(h) be the third derivative of 2*h**3 + 1/15*h**5 + 6*h**2 + m*h - 2/3*h**4 + 0. Factor n(j).
4*(j - 3)*(j - 1)
Let p = -779 + 831. Suppose 12*d + 28 - p = 0. Let -2/5*k**d - 4/5*k - 2/5 = 0. Calculate k.
-1
Let t(f) be the second derivative of -f**7/252 - 5*f**6/12 + 49*f**5/8 - 1745*f**4/72 + 265*f**3/6 - 42*f**2 + 11828*f. Factor t(o).
-(o - 6)*(o - 1)**3*(o + 84)/6
Factor -32*w**3 + 30*w**3 - 2*w**3 + 125*w + 7*w + 32*w**2.
-4*w*(w - 11)*(w + 3)
Solve 8/3*i**4 + 100/3*i + 4/9*i**5 + 0 - 280/9*i**2 - 16/3*i**3 = 0.
-5, 0, 1, 3
Let r(p) be the second derivative of p**7/21 + 2*p**6/5 - 19*p**5/10 - 4*p**4 + 484*p. Determine i so that r(i) = 0.
-8, -1, 0, 3
Let s be 4/(26/((-676)/(-234))). Suppose 2/9*h**2 - 16/3 - s*h = 0. What is h?
-4, 6
Suppose -159*o = -164*o + 215. Suppose 5*g - o = -23. Determine s, given that 0 - 2/7*s**g + 2/7*s**3 - 2/7*s + 2/7*s**2 = 0.
-1, 0, 1
Let p(r) = -r**3 + 9*r**2 - 6*r - 16. Suppose u - 4*f - 16 = 0, 5*f = 2*u + 5 - 31. Let v be p(u). Factor 0 + v*y + 1/6*y**5 - 1/6*y**3 + 0*y**2 + 0*y**4.
y**3*(y - 1)*(y + 1)/6
Let q(z) be the second derivative of z**5/20 + 13*z**4/6 + 24*z**3 + 387*z + 3. Determine w so that q(w) = 0.
-18, -8, 0
Let b(c) be the third derivative of c**7/20160 + 7*c**6/5760 + c**5/96 - 113*c**4/12 - 156*c**2. Let l(q) be the second derivative of b(q). Factor l(v).
(v + 2)*(v + 5)/8
Let n(v) be the second derivative of -v**5/130 + 83*v**4/78 - 157*v**3/13 + 693*v**2/13 - 13*v - 117. Factor n(l).
-2*(l - 77)*(l - 3)**2/13
Let q = 2746589/17 - 161563. What is m in -20/17*m**2 + 2/17 + q*m = 0?
-1/10, 1
Factor 5*j**3 + 43*j - 22*j - 10*j**3 - 16*j.
-5*j*(j - 1)*(j + 1)
Suppose -74*s + 73*s + 38 = -x, -2*x - 3*s = 66. Let q be 3/(-4*21/x). Factor 0 + 9/7*z**3 + q*z**2 + 3/7*z**4 + 3/7*z.
3*z*(z + 1)**3/7
Let r(g) be the third derivative of -g**6/1320 - 213*g**5/20 - 499059*g**4/8 - 389765079*g**3/2 + 5*g**2 + 35*g. Let r(u) = 0. Calculate u.
-2343
Let v = -47494 - -47496. Factor 0 + 22/9*c - 2/9*c**v.
-2*c*(c - 11)/9
Let l = 3 + -1. Let j(k) = 2710*k**2 + 29812*k + 27. Let x be j(-11). Factor 1/2*p**x + 0 + p**l - 1/2*p**3 + 0*p - p**4.
p**2*(p - 2)*(p - 1)*(p + 1)/2
Let o(n) be the first derivative of 4/11*n**2 - 1/22*n**4 - 2/11*n**3 - 13 + 0*n. Factor o(s).
-2*s*(s - 1)*(s + 4)/11
Factor 1/2*n + 1/4*n**2 - 42.
(n - 12)*(n + 14)/4
Let u be (5 - 50/15)*3. Suppose -2*a - 2*a + 2*j = -38, -j + 26 = 3*a. Let a*i**2 - 10 - u*i + 5*i**3 + 12*i**2 - 11*i**2 = 0. What is i?
-2, -1, 1
Let y(v) = 4*v - 44. Suppose 5*j = -3*c + 67, 68 = 5*j + 6*c - 4*c. Let a be y(j). What is q in 2*q**3 + 37*q + 0*q**2 + a*q**2 + 0*q**2 - 12 - 39*q = 0?
-6, -1, 1
Let r(q) = -9*q**4 - 118*q**3 - 67*q**2 - 113*q - 11. Let z(j) = 10*j**4 + 119*j**3 + 116*j**2 + 113*j + 10. Let i(a) = 2*r(a) + 3*z(a). Factor i(m).
(m + 1)**2*(m + 8)*(12*m + 1)
Find k such that 330*k**3 - 230*k**3 + 5*k**4 - 245*k**2 - 550*k + 30*k - 1910 + 2570 = 0.
-22, -2, 1, 3
Let p(y) = 7*y**3 + 146*y**2 + 270*y + 3. Let x(q) = 13*q**3 + 290*q**2 + 538*q + 5. Let r(z) = 5*p(z) - 3*x(z). Solve r(k) = 0.
-33, -2, 0
Let r(h) = -h + 26. Let z be r(-12). Let a be 32/90 - z/285. Find j, given that a*j + 0 - 2/9*j**2 = 0.
0, 1
Let h(i) be the first derivative of -10*i**3/3 - 64*i**2/7 + 24*i/7 - 839. Factor h(r).
-2*(r + 2)*(35*r - 6)/7
Let c(x) be the second derivative of 0*x**2 + 1/15*x**4 + 11 + 1/50*x**5 - x + 0*x**3. Let c(l) = 0. What is l?
-2, 0
Let t(z) be the first derivative of -1/3*z**3 + 3*z**2 + 0*z - 85. Determine k, given that t(k) = 0.
0, 6
Let m be (-3 - -2)*10/(-6). Let d be -513*28/(-1134) + -11. Determine u, given that m*u**2 - 10/3*u + d*u**3 + 0 = 0.
-2, 0, 1
Let w(d) be the third derivative of -d**7/42 + 5*d**6/6 - 23*d**5/2 + 455*d**4/6 - 1225*d**3/6 - 8*d**2 - 13*d + 3. Factor w(r).
-5*(r - 7)**2*(r - 5)*(r - 1)
Let n(m) = 155*m**3 - 2945*m**2 + 15795*m - 23140. Let u(a) = -17*a**3 + 327*a**2 - 1755*a + 2571. Let y(k) = 6*n(k) + 55*u(k). Factor y(x).
-5*(x - 57)*(x - 3)**2
Let -7/3*l**4 - 1/3*l**5 + 0*l + 18*l**3 + 0 - 24*l**2 = 0. What is l?
-12, 0, 2, 3
Let h(s) = -131*s**2 - 519*s - 16. Let q(n) = -4*n**2 + 3*n - 1. Let x(c) = -h(c) + 6*q(c). Solve x(v) = 0 for v.
-5, -2/107
Factor -544/7 + 4/7*t**2 + 36/7*t.
4*(t - 8)*(t + 17)/7
Let u = -5/8906 + -65779681/62342. Let k = 1056 + u. Let 2/7*r**3 + 0*r + 8/7 - k*r**2 = 0. What is r?
-1, 2
Let k(f) be the third derivative of -11*f**6/24 - 14*f**5/3 - 115*f**4/6 - 40*f**3 - 17*f**2 + 5*f. Factor k(c).
-5*(c + 2)**2*(11*c + 12)
Let l(w) = -2465*w + 73954. Let f be l(30). Suppose -36*v**2 + 72 + 12*v**3 + 9/2*v**f - 24*v - 3/2*v**5 = 0. Calculate v.
-2, 2, 3
Let v(c) be the first derivative of -c**4 + c**3/3 + 5*c**2/2 - 40. Let m(i) = -3*i**3 + i**2 + 4*i. Let y(k) = -3*m(k) + 2*v(k). Factor y(a).
a*(a - 2)*(a + 1)
Let f be 2*24/(-195) - ((-2)/(-15))/((-72)/216). Determine o, given that 8/13*o + 0 + f*o**2 = 0.
-4, 0
Let u = -2123/6530 + 947/1306. Find q, given that 4/15 + 2/15*q**2 + u*q = 0.
-2, -1
Let w be -2 + (7 - 12 - 4) + (-7299)/(-33). Factor 136/11*s - 2/11*s**2 - w.
-2*(s - 34)**2/11
Let x be ((-1425)/380)/(27/(-2)). Let z(q) be the second derivative of x*q**3 + q**2 + 1/36*q**4 - 19*q + 0. Let z(s) = 0. What is s?
-3, -2
Let b(x) = -x**3 + 109*x**2 + 336*x. Let o be b(112). Factor -5/4*c**2 + o + 5*c.
-5*c*(c - 4)/4
Let f(d) be the third derivative of -d**7/105 + 49*d**6/30 - 1019*d**5/10 + 8036*d**4/3 - 107584*d**3/3 - 3*d**2 - 45*d + 1. Factor f(h).
-2*(h - 41)**2*(h - 8)**2
Let -2206453 - 947072 - 5844*z - 2*z**2 - 1115517 = 0. What is z?
-1461
Let -1486/19*y - 1680/19 - 14/19*y**2 = 0. What is y?
-105, -8/7
Let l(i) be the first derivative of i**7/5460 + i**6/585 + 20*i**3/3 + 160. Let c(y) be the third derivative of l(y). Factor c(g).
2*g**2*(g + 4)/13
Let c = -341289/2 - -3071605/18. Factor 1352/9 - 104/9*z + c*z**2.
2*(z - 26)**2/9
Let i be 7/(-10)*(52 - (-21632)/(-364)). Factor -1/5*f**2 - i*f - 169/5.
-(f + 13)**2/5
Suppose -1278*j = -1294*j. Let u(n) be the third derivative of -24*n**2 + j*n**3 - 1/15*n**6 + 1/6*n**4 + 0*n + 0*n**7 + 0 + 0*n**5 + 1/84*n**8. Factor u(i).
4*i*(i - 1)**2*(i + 1)**2
Let w(n) = -21*n**2 + 2*n - 5. Let s be w(2). Let u be (-2)/(-10) - (-17)/s. Factor 169/8*f**4 + 13/2*f**3 + 0 + 1/2*f**2 + u*f.
f**2*(13*f + 2)**2/8
Let m(b) be the first derivative of -4/33*b**3 + 1/44*b**4 + 2 - 14*b**2 + 0*b + 1/330*b**5. Let n(c) be the second derivative of m(c). Le