c be (-2 - 26/(-10))/(132/616 - 0). Let h be (4/(-3))/((-4)/6). Solve h*v**3 - 2/5*v**4 - 4/5 + c*v - 18/5*v**2 = 0.
1, 2
Let p = 111 - 105. Suppose 5*d - 4*c - 27 = 0, -6 = -p*d + 2*d - 2*c. Factor -4/3*l**d + 2/3*l**2 + 0 + 0*l + 2/3*l**4.
2*l**2*(l - 1)**2/3
Suppose 67 - 88 = -7*b. Factor 9 - 9*g**2 + 2*g + 6*g + 0*g - b*g**3 - 5*g.
-3*(g - 1)*(g + 1)*(g + 3)
Suppose -37*r + 5*y = -42*r - 35, r = 5*y + 59. Determine p, given that -17*p**2 - 3/2*p**3 + 1/2*p**5 - 26*p + 2*p**r - 12 = 0.
-2, -1, 3
Let b(p) be the second derivative of 0 - 309*p + 5/12*p**4 + 25/6*p**3 - 35*p**2. Factor b(g).
5*(g - 2)*(g + 7)
Let z(h) be the third derivative of -h**8/6720 + h**7/560 + 3*h**6/40 - 107*h**5/60 + h**4/12 + 121*h**2. Let y(r) be the third derivative of z(r). Factor y(k).
-3*(k - 6)*(k + 3)
Let a(o) be the second derivative of -o**4/4 + 649*o**3 - 1263603*o**2/2 - 213*o + 1. Suppose a(c) = 0. What is c?
649
Let v = -104655 - -104657. Factor 3/4*y**v + 9/4*y - 3/2 - 9/4*y**3 + 3/4*y**4.
3*(y - 2)*(y - 1)**2*(y + 1)/4
Let w(q) be the third derivative of -q**8/630 - 127*q**7/1575 - 53*q**6/225 - 59*q**5/450 + q**4/6 + 843*q**2. What is b in w(b) = 0?
-30, -1, 0, 1/4
Let s be (36/75)/(2/20*-1). Let x = s + 36/5. Factor -x*c + 36/5 + 1/5*c**2.
(c - 6)**2/5
Let c(v) = v**2 - 17*v + 19. Let b be c(16). Factor 3*y - 3*y**4 + 3*y - 13 + 30*y**3 - 36*y**b + 16.
-3*(y - 1)*(y + 1)**3
Let r(k) be the first derivative of 0*k + 76 - 8/15*k**3 - 1/10*k**4 + 0*k**2. Factor r(a).
-2*a**2*(a + 4)/5
Let k be (4/10)/((-50)/(-124375)). Let f = 995 - k. Factor -m + f + 4/3*m**2 - 1/3*m**3.
-m*(m - 3)*(m - 1)/3
Let m(c) be the first derivative of -135*c + 109 - 65*c**2 + 5/3*c**3. Determine f so that m(f) = 0.
-1, 27
Let z(i) be the third derivative of -5/24*i**4 - 1/144*i**6 + 0*i**3 + 0 - 5/72*i**5 - 19*i + 3*i**2. Factor z(m).
-5*m*(m + 2)*(m + 3)/6
Suppose -6*a - a + 63 = 0. Let x be -1 - 0 - (-27)/a. Solve -20*m**2 - 4*m**3 - 28 + 16*m**x - 16*m**2 - 16*m**2 - 60*m = 0.
-7, -1
Let s(u) be the first derivative of -18/7*u**2 - 2/21*u**3 + 14 - 162/7*u. Find y such that s(y) = 0.
-9
What is v in -12*v**2 - 1016*v**2 + 11*v**3 - 196*v + 2268*v - 15*v**3 = 0?
-259, 0, 2
Let s = -12 + 17. Suppose s*u = 75 - 0. Factor -55 - 5*y**3 - 10*y + 108 - u*y**2 - 53.
-5*y*(y + 1)*(y + 2)
Let t(l) = -115*l**2 + 913*l + 29. Let o(w) = -229*w**2 + 1819*w + 59. Let k(r) = 3*o(r) - 5*t(r). Factor k(u).
-4*(u - 8)*(28*u + 1)
Let v(n) = n**3 + 206*n**2 + 836*n + 5660. Let q be v(-202). Factor 26/9*k**3 + 4 + 94/9*k + 82/9*k**2 + 2/9*k**q.
2*(k + 1)**2*(k + 2)*(k + 9)/9
Let f(s) be the first derivative of -s**3/15 - 15*s**2 - 149*s/5 - 2250. Let f(c) = 0. Calculate c.
-149, -1
Factor 60 + 445*q + 42*q**2 - 193*q**2 - 85*q**2 + 9*q**3 - 278.
(q - 1)**2*(9*q - 218)
Suppose 23 = -5*s + 73. Suppose 0*b - 3 = b, 3*c - 2*b = 15. Determine a so that s + 6*a**4 - 3*a**5 - 10 - c*a**3 = 0.
0, 1
Let h = -190654696495/31493 - -42377130/7. Let z = h - -1/409. Factor 2/11*u**3 + 0 + 0*u + z*u**2.
2*u**2*(u + 2)/11
Suppose -18 = 2*a - a. Let l be (-60)/a - 4/(-6). Let -133*j**3 + 118*j**3 + 6*j**2 - 6*j**l - 15*j**2 = 0. Calculate j.
-3/2, -1, 0
Let s(a) be the second derivative of 7/45*a**3 + 18 - 2/15*a**2 - 2*a - 1/18*a**4. Factor s(o).
-2*(o - 1)*(5*o - 2)/15
What is t in 86*t - 242*t + 24 + t**2 + 78*t + 103*t = 0?
-24, -1
Let f = 374 - 379. Let b(k) = 6*k**4 - 6*k**3 + 13*k**2 - 7*k + 14. Let y(w) = 5*w**4 - 6*w**3 + 13*w**2 - 8*w + 12. Let m(a) = f*y(a) + 4*b(a). Factor m(z).
-(z - 2)**2*(z - 1)**2
Let h be 7/((-14)/4) - -3. Let l(t) = -2*t**2 + t - 1. Let q(p) = 11*p**2 - 7*p - 2. Let k(i) = h*q(i) + 4*l(i). Find s such that k(s) = 0.
-1, 2
Let -34*c - 151*c**3 - 384*c**3 + 68*c - 116*c - 170 + 1005*c**2 - 35*c**4 - 183*c = 0. What is c?
-17, -2/7, 1
Let l = 302238 + -302234. Factor -3/4*q**2 - 1/8 + q**3 - q + 7/8*q**l.
(q - 1)*(q + 1)**2*(7*q + 1)/8
Let g(o) be the first derivative of -6*o**2 - 7 + 20/3*o**3 - 36*o - o**4. Determine r, given that g(r) = 0.
-1, 3
Let m be 1300/80 + (-2)/8. Factor m*o - 23 - 1 - 9466*o**3 + 2*o**2 + 9464*o**3.
-2*(o - 2)**2*(o + 3)
Let g(l) = -3171*l - 15853. Let h be g(-5). Find d such that -7/2 - 1/2*d**h - 4*d = 0.
-7, -1
Let t(s) = s**3 + 3*s**2 - 6*s - 3. Let b be t(-4). Suppose 4*m - 8 = 5*l + 7, b*l - 5 = 0. Factor -12 + 25*i - 50*i + m*i**2 + 42.
5*(i - 3)*(i - 2)
Let i(j) = 42151*j + 381041. Let d be i(-9). Factor -d - 1/2*n**2 - 58*n.
-(n + 58)**2/2
Let o(k) be the third derivative of k**6/960 - 151*k**5/40 + 68403*k**4/16 - 2249*k**2 - 2*k - 2. Let o(f) = 0. Calculate f.
0, 906
Let y(k) = 4*k**3 - k + 8. Let a(q) = -q**3 - 2. Let o be 6/12 + (-1)/2. Suppose 16*c - 3*c - 286 = o. Let v(i) = c*a(i) + 6*y(i). Factor v(t).
2*(t - 1)**2*(t + 2)
Let s(f) = 3 - 7 + 2*f + 2*f**2 + f**2 - 5*f. Let z be s(2). Factor -h**2 + h**4 - z*h - 6*h**3 + 6*h + 3*h - h**3.
h*(h - 7)*(h - 1)*(h + 1)
Let n(j) be the first derivative of -42*j**3 - 151*j**2/4 - 2*j - 5863. Determine f so that n(f) = 0.
-4/7, -1/36
Let b(y) = 24*y**3 - 2*y**2 + 12*y + 26. Let c(m) = m**2 - 165*m + 27 + 159*m - 39 - 11*m**3. Let z(g) = -6*b(g) - 13*c(g). Factor z(o).
-o*(o - 2)*(o + 3)
Let k = -3 + 5. Let n be 7/(-2) - ((-5967)/18)/39. Factor -2*u - n*u + k*u**2 + 5*u.
2*u*(u - 1)
Let k be (-11 - (-357)/34)*(-9)/6. Factor 0*g + k*g**5 + 3*g**4 + 0 + 0*g**2 + 3*g**3.
3*g**3*(g + 2)**2/4
Let q(k) be the second derivative of -k**3 - 2*k + 8 - 1/12*k**6 + 1/24*k**4 + 3/10*k**5 + k**2. Solve q(i) = 0.
-1, 2/5, 1, 2
Let a(f) be the third derivative of 0 - 11/12*f**3 + 2*f + 33*f**2 + 1/12*f**5 + 1/420*f**7 + 1/20*f**6 - 1/4*f**4. Find p such that a(p) = 0.
-11, -1, 1
Let 1/3*n**2 - 324*n + 971/3 = 0. Calculate n.
1, 971
Let j(f) be the first derivative of 1/20*f**4 - 47 + 2*f + 3/10*f**2 - 2/5*f**3. Factor j(l).
(l - 5)*(l - 2)*(l + 1)/5
Let b(a) be the second derivative of -a**4/12 + 71*a**3/3 - 5041*a**2/2 - 30*a - 13. Determine q so that b(q) = 0.
71
Let j = 115036/5 + -23006. Let g be (7/((-105)/36))/((-9)/6). Suppose 2/5*m**4 + 4/5*m**2 + g*m - j - 8/5*m**3 = 0. Calculate m.
-1, 1, 3
Let i be 2/(20 + (-361)/19). Let v(k) be the first derivative of -100/3*k**3 + 15/4*k**4 + 23 + 90*k**i - 80*k. Find w, given that v(w) = 0.
2/3, 2, 4
Let l(t) be the first derivative of -t**5/5 - 3*t**4 + 5*t**3 + 13*t**2 + 1970. Determine p so that l(p) = 0.
-13, -1, 0, 2
Let n(y) be the third derivative of y**8/504 - 37*y**7/21 + 6394*y**6/15 + 38642*y**5/45 - 6*y**2 + 13*y - 10. Determine c so that n(c) = 0.
-1, 0, 278
Let i(w) = -w**2 + 38*w - 2. Let f(z) = z**2 + 2*z - 1. Let h(j) = 6*f(j) - i(j). Let y(b) = -8*b**2 + 25*b + 5. Let n(d) = -5*h(d) - 4*y(d). Factor n(m).
-3*m*(m - 10)
Let z(i) be the third derivative of 2*i**7/105 - i**6/3 - 61*i**5/15 + 35*i**4/3 - 7*i**2 - 25*i. Solve z(c) = 0 for c.
-5, 0, 1, 14
Determine p so that -177 - 677 - 298 - 4*p**5 + 184*p**4 + 4*p**3 - 240*p**4 + 1208*p**2 = 0.
-12, -6, -1, 1, 4
Let y be (-78)/5 + (462/(-55) - -8). Let j = y - -16. Let 0*k**2 - 3/8*k**5 + 0*k + j*k**4 + 0 + 3/8*k**3 = 0. What is k?
-1, 0, 1
Let i(k) = -k**3 - 6*k**2 + k. Let p(v) be the first derivative of 65*v**4/4 + 85*v**3/3 + 5*v**2/2 - 133. Let a(r) = -5*i(r) - p(r). Factor a(l).
-5*l*(3*l + 2)*(4*l + 1)
Suppose 140/11*q**3 + 48*q + 536/11*q**2 + 0 + 2/11*q**4 = 0. What is q?
-66, -2, 0
Suppose -5*r + 12 = -2*j, -6 = -r - j + 2. Suppose 267036*i**2 - 6*i**3 + 2*i**r - 267046*i**2 + 3 + 6*i + 5 = 0. What is i?
-1, 1, 4
Factor 10*r**2 + 2/11*r**3 - 466/11*r + 354/11.
2*(r - 3)*(r - 1)*(r + 59)/11
Find j such that -18*j - 132 + 2/3*j**2 = 0.
-6, 33
Solve 2*k**2 + 26*k + 21*k**2 - 26*k**3 - 120 + 70*k**2 + 19*k**2 + k**4 + 7*k**2 = 0.
-1, 1, 6, 20
Let q(h) = -h**4 + 2*h**2 - 2*h - 2. Let i(f) = 49*f**4 - 258*f**3 - 54*f**2 + 58*f + 10. Let x(b) = -i(b) - 5*q(b). Let x(t) = 0. Calculate t.
-1/2, 0, 4/11, 6
Let s(q) be the third derivative of q**7/1680 + 7*q**6/480 + 3*q**5/20 - 53*q**4/24 - 31*q**2. Let z(h) be the second derivative of s(h). Factor z(c).
3*(c + 3)*(c + 4)/2
Let w(i) be the second derivative of -4/15*i**5 - 2/3*i**4 - 12 + 160/9*i**3 - 200/3*i**2 + 4*i - 1/90*i**6. Factor w(z).
-(z - 2)**2*(z + 10)**2/3
Suppose -n + y - 12 = 6*y, -3*y - 6 = n. Suppose -5*v - 8 = k, -4*k + 5*k -