3/21 - 1735*u**2. Find r such that f(r) = 0.
-205, 10
Let -2719201/4*g**2 + 1649*g - 1 = 0. What is g?
2/1649
Let o = 443 - 264. What is n in 10*n**2 + o*n**2 - 27*n**2 - 1262*n + 470*n + 968 = 0?
22/9
Let x be (-33)/(-6) - 4 - 1. Let r(m) = -164*m**2 - 640*m + 64. Let j be r(-4). Solve -x*f**3 + 0*f - 1/2*f**2 + j = 0 for f.
-1, 0
Let n(w) = 2*w**3 - w. Let i(d) = -d**4 + 9*d**3 + 55*d**2 + 138*d + 90. Let g(k) = -3*i(k) + 9*n(k). Solve g(u) = 0.
-3, -1, 10
Let a(c) = c**2 - 15*c - 212. Let p be a(24). Let d(z) be the first derivative of 6*z**2 + 4 + 6/5*z**5 + 2/3*z**3 - 11/4*z**p - 1/6*z**6 - 8*z. Factor d(j).
-(j - 2)**3*(j - 1)*(j + 1)
What is l in -798848/3 + 2/3*l**5 + 5056/3*l + 599128/3*l**2 - 1258/3*l**4 + 195920/3*l**3 = 0?
-2, 1, 316
Let g(o) = -3*o**2 - o**2 + 8*o**2 + 10. Suppose 35 = 15*w + 110. Let y(l) = -3*l**2 - 7. Let n(r) = w*g(r) - 7*y(r). Factor n(c).
(c - 1)*(c + 1)
Let d(l) = 7354*l - 51476. Let g be d(7). Factor -1/6*z**2 - 2/3*z + g.
-(z - 2)*(z + 6)/6
Let m be (33/165)/(3/45). Let v(d) be the first derivative of 0*d + 0*d**2 - 2/39*d**m - 2 - 1/26*d**4. Solve v(r) = 0.
-1, 0
Let q = 716 + -710. Let g(y) be the first derivative of 3/4*y + 1/4*y**q + 8 - 1/20*y**5 - 9/4*y**4 - 7/2*y**3 - 5/4*y**2. Factor g(z).
(z - 3)*(z + 1)**3*(6*z - 1)/4
Let k = 2537433/4 - 634327. Factor 54*j + 225/2*j**3 + 0 - k*j**4 - 135*j**2.
-j*(5*j - 6)**3/4
Let x(t) = 5*t**4 + 35*t**3 + 394*t**2 + 1540*t + 1180. Let f(o) = -o**4 + o**2 - 1. Let r(z) = 16*f(z) + 4*x(z). Find k, given that r(k) = 0.
-14, -6, -1
Suppose 0 = 3*o + d - 526, 3*o - 2*d + 702 = 7*o. Let 159*n - 6 - 14 + 7*n**2 - 3*n**2 - o*n = 0. What is n?
-1, 5
Find y such that 46 + 67*y**2 + y**4 + 11*y**3 - 6 - 67*y - 14*y**2 - 38*y**2 = 0.
-8, -5, 1
Let i(w) = w**2 - 11*w + 15. Let m be i(0). What is t in m*t**2 - 7*t**3 + 27*t**3 + 5*t**4 - 20 - t - 19*t = 0?
-2, -1, 1
Suppose -36 + 18 - 60 = -26*c. Let x(q) be the first derivative of -14/27*q**c + 11 - 23/9*q**2 - 4/3*q. Factor x(v).
-2*(v + 3)*(7*v + 2)/9
Let x(l) be the third derivative of -7*l**6/1440 + 11*l**5/120 - l**4/8 + 16*l**3/3 - 17*l**2. Let y(i) be the first derivative of x(i). Factor y(k).
-(k - 6)*(7*k - 2)/4
Let t(a) be the second derivative of a**6/75 + 17*a**5/25 - 37*a**4/10 - 1360*a**3/3 + 8000*a**2 + 682*a. Factor t(b).
2*(b - 8)**2*(b + 25)**2/5
Let a(q) = -55*q**3 - 2310*q**2 - 32340*q - 150855. Let m(t) = -2162*t - 5*t**3 - 778*t + 3440 - 210*t**2 - 17154. Let o(i) = -6*a(i) + 65*m(i). Factor o(g).
5*(g + 14)**3
Factor 147/2*s**3 - 3396*s - 11823/2*s**2 - 486.
3*(s - 81)*(7*s + 2)**2/2
Let s(d) = 7*d**3 - 12*d**2 + 15*d. Let x(v) = -v**3 - 2*v**2 + v. Let t = 44 + -45. Let g(l) = t*s(l) - 5*x(l). Factor g(j).
-2*j*(j - 10)*(j - 1)
Let s be ((-17675)/(-2020))/(7/4). Let v(c) be the second derivative of 0 + 0*c**2 - 1/135*c**6 + 1/90*c**s + 1/54*c**4 + 8*c - 1/27*c**3. Factor v(l).
-2*l*(l - 1)**2*(l + 1)/9
Factor -1388*z - 820*z + 11520 - 2105*z**2 + 2246*z**2 - 3*z**3.
-3*(z - 16)**2*(z - 15)
Let m(q) be the third derivative of q**10/6048 + q**9/504 - 4*q**7/63 + 19*q**4/24 - 99*q**2. Let x(j) be the second derivative of m(j). Factor x(f).
5*f**2*(f - 2)*(f + 4)**2
Let l(c) = -87*c + 957. Let t be l(11). Determine r so that -104/7*r**2 + 2*r**4 + t + 66/7*r**3 + 24/7*r = 0.
-6, 0, 2/7, 1
Let -85/3 + 1/6*v**2 - 7/6*v = 0. What is v?
-10, 17
Suppose -305*o = -210*o. Let s(q) be the third derivative of o*q + 1/24*q**6 + 4*q**2 + 1/42*q**7 + 0*q**4 + 0*q**5 + 0 + 0*q**3. Factor s(g).
5*g**3*(g + 1)
Let i(r) be the second derivative of -r**4 + 0 - 1/10*r**5 - 8*r**2 - 4*r + 5*r**3. Factor i(j).
-2*(j - 1)**2*(j + 8)
Let v be 0 - 1/((-1)/(-8)). Let n be ((-4)/(-4))/((-2)/v). Factor -33*o + o**2 - 8*o**2 + n*o**2 + 3*o - 75.
-3*(o + 5)**2
Suppose -153*f = -161*f + 24. Determine h so that 26*h**f - 16*h**4 - 5*h**5 + 6*h**4 - 31*h**3 = 0.
-1, 0
Let u = 4124 + -4121. Let d(s) be the second derivative of 35*s + 155/72*s**4 - 5/24*s**5 + 7/3*s**2 + 0 + 34/9*s**u. Factor d(r).
-(r - 7)*(5*r + 2)**2/6
Let a(b) = -6*b + 47. Let l be a(7). Suppose -3*f + 30 = 3*k, l*k + 3*f = 7*f + 32. Factor -3*w**4 + k*w - 18*w**2 - 15*w**3 + 9*w**2 + 12 + 7*w.
-3*(w - 1)*(w + 1)**2*(w + 4)
Let w be 19/(-38)*(-8)/22. Suppose 8*l + 29*l - 60*l = -69. Factor -2/11*z**2 - 16/11 + w*z**l - 20/11*z.
2*(z - 4)*(z + 1)*(z + 2)/11
Let h(y) = y. Let p be h(5). Let u(v) = -v**3 - 9*v**2 + 33*v + 232. Let k be u(-10). Factor p*w - 5 - 5/4*w**k.
-5*(w - 2)**2/4
Let j(h) = -2*h**2 - 7*h + 44. Let b be j(6). Let v be 2 + -5 + (-240)/b. Factor 6/7*s**2 + 0 - v*s - 3/7*s**3.
-3*s*(s - 1)**2/7
Let v(a) be the first derivative of -a**4/14 + 62*a**3/21 + 4*a**2/7 - 248*a/7 + 165. Factor v(b).
-2*(b - 31)*(b - 2)*(b + 2)/7
Find i such that -11/2*i**4 + 0*i + 1/4*i**5 - 18*i**2 + 0 + 19*i**3 = 0.
0, 2, 18
Let i = -787515 - -787520. Factor 3/4*a**4 + 0*a - 3/4*a**3 + 0 + 3/4*a**i - 3/4*a**2.
3*a**2*(a - 1)*(a + 1)**2/4
Solve -8/3*u**2 + 2*u**3 - 40/9*u + 0 + 2/9*u**4 = 0.
-10, -1, 0, 2
Find v such that -2/7*v**2 + 12/7 + 2/7*v = 0.
-2, 3
Let j(v) = -5*v**2 - 4847*v - 1468943. Let z(l) = l**2 - l - 1. Let s(w) = -j(w) - z(w). Determine r, given that s(r) = 0.
-606
Let q(p) be the second derivative of 0*p**2 + 1/7*p**3 - 2 + 1/42*p**4 - 41*p. Suppose q(b) = 0. Calculate b.
-3, 0
Let n(b) be the first derivative of b**7/126 + 2*b**6/15 + 29*b**5/60 + b**4/2 + 151*b + 71. Let u(i) be the first derivative of n(i). Factor u(w).
w**2*(w + 1)*(w + 2)*(w + 9)/3
Factor 52*t**2 - 556*t**2 - 36*t**4 - 35*t**4 - 3*t**3 - 128*t + 2688 - 57*t**3 + 75*t**4.
4*(t - 21)*(t - 2)*(t + 4)**2
Let r(l) = -l**3 + 19*l**2 - 33*l - 12. Let v be r(17). Determine x, given that -15 + 7*x + 0*x**2 + v*x**2 + 13*x - 10 = 0.
-5, 1
Suppose 0 = -3*p + 3*r, 5*p - 6*r + 9*r - 32 = 0. Let l = 30/83 + 242/249. Factor 2/3*j**p + 2/3 + 2/3*j**5 - 4/3*j**2 + 2/3*j - l*j**3.
2*(j - 1)**2*(j + 1)**3/3
Let t be (-468 - -450)/(57/(-18) + 2). Factor -10/7*r**4 - 94/7*r**3 - 54*r - t - 306/7*r**2.
-2*(r + 3)**3*(5*r + 2)/7
Let h(r) be the third derivative of r**5/210 - 31*r**4/28 + 92*r**3/21 - 765*r**2 - 2. Let h(c) = 0. Calculate c.
1, 92
Let v(j) be the second derivative of -1/12*j**4 - 5/6*j**3 + 0*j**2 + 1/4*j**5 + 0 + 1/30*j**6 - 221*j. Factor v(z).
z*(z - 1)*(z + 1)*(z + 5)
Let s = 659 - 658. Let t(c) = c**3 - c**2. Let k(f) = 7*f**2 - 15*f + 3*f**3 - f**3 + 4*f**3 - 4*f**3 + 6. Let p(h) = s*k(h) - 5*t(h). Factor p(o).
-3*(o - 2)*(o - 1)**2
Let h(p) be the first derivative of p**4/2 + 3818*p**3/3 - 3821*p**2 + 3822*p + 1642. Factor h(l).
2*(l - 1)**2*(l + 1911)
Determine g, given that 18*g - 513 - 20*g - 3*g + 57*g**2 + 3*g**3 - 22*g = 0.
-19, -3, 3
Let o = 6046674/5 - 1209322. Find m such that 12/5*m**4 - 48/5*m**2 + o*m - 2/5*m**5 - 8/5*m**3 + 0 = 0.
-2, 0, 2, 4
Let o(y) = 22*y**3 + 44*y**2 - 370*y - 3888. Let u(m) = -8*m**3 - 14*m**2 + 123*m + 1296. Let j(b) = 3*o(b) + 8*u(b). Factor j(r).
2*(r - 8)*(r + 9)**2
Suppose 5*d = 2*t + 215 + 45, -4*t = 20. Suppose -70*p = -65*p - d. Factor 8*x**2 - p + 2*x**3 - 24*x + 22*x + 2*x**2.
2*(x - 1)*(x + 1)*(x + 5)
Let l(c) = c**2 - c + 6. Let n be l(-6). Factor 4*u**4 - 15*u**3 + 12*u**3 - n*u - u**5 + 52*u - 4*u**2.
-u*(u - 2)**2*(u - 1)*(u + 1)
Suppose 13*l - 19*l + 54 = 0. Suppose 2*h**2 - 3*h**3 + 3*h**2 - 5*h**3 - l*h**2 - 4*h**4 = 0. Calculate h.
-1, 0
Let c(i) be the second derivative of -i**6/10 + 99*i**5/20 + 19*i**4/2 - 66*i**3 - 204*i**2 + 3390*i. Solve c(x) = 0.
-2, -1, 2, 34
Let l(h) = -20*h**2 - 48*h + 740. Let t(u) = -8*u**2 - 19*u + 295. Let a(n) = 5*l(n) - 12*t(n). Factor a(g).
-4*(g - 5)*(g + 8)
Let r(o) be the first derivative of -3*o**4 - 404*o**3/15 + 64*o**2/5 + 112*o/5 - 119. Solve r(w) = 0.
-7, -2/5, 2/3
Let y = -30759 - -30763. Find a, given that 2/5*a + 6/5*a**5 - 4/5 - 8/5*a**3 - 8/5*a**y + 12/5*a**2 = 0.
-1, -2/3, 1
Factor -91*x**3 + 20*x**5 + 0*x - 16*x**3 + 0*x - 28*x**3 - 165*x**4.
5*x**3*(x - 9)*(4*x + 3)
Let k = -11646 - -11646. Let q(v) be the first derivative of 0*v - 2 + k*v**3 + 0*v**2 - 1/20*v**4. Find w, given that q(w) = 0.
0
Factor -10600*t**3 - 625/6*t**5 + 18980/3*t**2 + 168 + 40375/6*t**4 - 5048/3*t.
-(t - 63)*(5*t - 2)**4/6
Suppose 0 = 27*u + 31*u - 19*u. Let q(x) be the second derivative of -1/3*x**4