 4*l**3/3 - 9*l**2 - 7*l. Factor t(w).
-4*(4*w - 1)**2*(27*w - 2)
Suppose 0 = -2*g + 8, -52 = -3*n - n - g. Factor 8*x + 10*x**4 + 12 + 22*x**2 + 10*x**2 + 34*x**3 - n.
2*x*(x + 1)*(x + 2)*(5*x + 2)
Let c = -2105 + 2129. Factor 6 - 75/2*f**3 + 15/2*f**2 + c*f.
-3*(f - 1)*(5*f + 2)**2/2
Let o(q) = -3*q**4 - 1 + q**4 + 5 - 2*q**2 + 4*q. Let j(t) = -2*t**4 - 3*t**2 + 5*t + 5. Let i(g) = -4*j(g) + 5*o(g). Factor i(s).
-2*s**2*(s - 1)*(s + 1)
Let u(q) be the second derivative of -q**4/138 - 2*q**3/69 + 115*q. Factor u(v).
-2*v*(v + 2)/23
Find j, given that 100*j**4 + 153*j + 6*j**5 + 180738*j**3 - 403*j**4 - 180897*j**3 + 303*j**2 = 0.
-1, -1/2, 0, 1, 51
Let l(c) = c + 26. Let t be l(-20). Let k be 8/2*(-7)/(-4). Factor 0*f - 3*f + t + k*f - 2*f**2.
-2*(f - 3)*(f + 1)
Find z such that -8/5*z**2 + 1/5*z**5 + 3/5*z**4 + 0*z + 0 - 6/5*z**3 = 0.
-4, -1, 0, 2
Let w be ((-124)/(-66)*-6)/(-3). Let s = w - 34/11. Find g, given that 0*g**2 - s*g**3 + 0*g**4 + 0 + 1/3*g + 1/3*g**5 = 0.
-1, 0, 1
Let c(j) be the third derivative of j**8/1008 - j**7/63 + 29*j**6/360 - 2*j**5/45 - 2*j**4/3 - 2*j**2 + 11. Suppose c(s) = 0. What is s?
-1, 0, 3, 4
Let k(l) be the second derivative of -l**4/6 - 95*l**3/3 + 96*l**2 - 65*l + 2. Let k(v) = 0. What is v?
-96, 1
Let m(u) be the second derivative of u**5/130 - 19*u**4/39 + 7*u**3 + 1764*u**2/13 - 125*u - 2. Suppose m(k) = 0. What is k?
-4, 21
Let p(m) = m**3 + 19*m**2 - 18*m + 25. Let r be p(-20). Let b = r - -18. Factor 6 + f**3 - f**3 + 9*f - 3*f**b.
-3*(f - 2)*(f + 1)**2
Let b be (162/2916)/(2/27) - 61/92. Determine x, given that 8/23*x - b*x**2 + 8/23 - 2/23*x**3 = 0.
-2, -1, 2
Solve 9*s**5 + 30*s**4 + 9/4 - 33/4*s - 29/4*s**2 + 97/4*s**3 = 0 for s.
-3/2, -1, 1/3
Suppose 5*q + 5*d = 10, q - 2*q = 4*d + 1. Factor -p**3 + 4*p**q + 0*p**3.
3*p**3
Let s(t) = -31*t**3 + 38*t**2 - 3*t - 12. Let o(k) = -32*k**3 + 37*k**2 - 3*k - 12. Let d(h) = 4*o(h) - 5*s(h). Find a such that d(a) = 0.
-4/9, 1
Let v(u) = -6*u - 2. Let k be v(-3). Suppose -6*r - 4 = -k. Factor -8/3 + 1/3*g**3 - 4/3*g + 2/3*g**r.
(g - 2)*(g + 2)**2/3
Let l(x) = x**2 + 125*x + 126. Let w be l(-1). Suppose 2/3*s**w + 4/3 - 2*s = 0. Calculate s.
1, 2
Let v = 15383/5 + -3076. Suppose 0 - 7/10*o**2 + 1/2*o**3 - v*o = 0. Calculate o.
-3/5, 0, 2
Let u = -1591010 - -20693689/13. Let z = u + -811. Solve 8/13 + z*m - 10/13*m**2 = 0.
-2/5, 2
Factor 9*z**4 - 3*z**4 - 20*z**3 + 2*z**3 - 4*z + 14*z**2 + 2*z**3.
2*z*(z - 1)**2*(3*z - 2)
Let j(p) = -p**4 - p**3 - p**2 - p + 1. Let y(h) = 2*h**4 - h**3 + 4*h**2 + 7*h - 3. Let v(t) = -6*j(t) - 2*y(t). Determine r, given that v(r) = 0.
-4, -1, 0, 1
Let p = -1/226 + 477/5650. Let v(w) be the first derivative of 0*w**2 + p*w**5 + 4 - 2/15*w**3 - 1/15*w**6 + 0*w + 1/10*w**4. Factor v(k).
-2*k**2*(k - 1)**2*(k + 1)/5
Let i(g) = -5*g**2 + 20*g - 39. Let s(v) = 14*v**2 - 62*v + 116. Let u(q) = 17*i(q) + 6*s(q). Factor u(k).
-(k - 1)*(k + 33)
Let t(b) be the third derivative of b**7/1470 - b**6/105 + 4*b**5/105 + 3*b**2 - 19*b. Factor t(r).
r**2*(r - 4)**2/7
Let t(v) = -2*v + 12. Let k be t(5). Let a = -6482/3 - -2161. Solve 2/3*p + 1/3*p**k + a = 0.
-1
Let a(h) = -5*h**3 - 5*h**2 - 4*h + 7 + 3*h + 2*h + 4*h**3. Let c be a(-5). Solve 0*m - m - 4*m + m + 2*m**c = 0 for m.
0, 2
What is n in 5 - 11/2*n + 1/2*n**2 = 0?
1, 10
Suppose -1/4*g**2 + 5/2*g - 4 = 0. What is g?
2, 8
Let -12/5*k + 2/5*k**2 + 16/5 = 0. Calculate k.
2, 4
Suppose 355 = 7*c - 485. Let -3*k**4 - 86*k**2 + k**3 - 48 + c*k + 2*k**3 - 13*k**2 + 27*k**3 = 0. Calculate k.
1, 4
Let o(k) be the third derivative of -k**6/660 + 5*k**5/66 + k**4/33 - 100*k**3/33 - 473*k**2. Factor o(s).
-2*(s - 25)*(s - 2)*(s + 2)/11
Solve 31*d - 35*d**2 + 13*d + 80 - 5*d**3 + 6*d = 0.
-8, -1, 2
Let o = -88/95 - -447/380. What is r in -3/2*r - o*r**2 - 9/4 = 0?
-3
Let y(z) be the third derivative of z**5/60 - z**4/8 - 2*z**3/3 + 20*z**2. Factor y(p).
(p - 4)*(p + 1)
Suppose 0*c**3 - 22/7*c**2 - 16/7 - 36/7*c + 2/7*c**4 = 0. What is c?
-2, -1, 4
Let i(g) be the second derivative of 5*g**7/42 + g**6/30 - 3*g**5/4 + 7*g**4/12 + g**3/3 - 12*g. Let i(c) = 0. Calculate c.
-2, -1/5, 0, 1
Let b(w) = -19*w + 10. Let z be b(7). Let g = -121 - z. Factor q**g + 1/4*q**5 + 0 - q + 3/4*q**3 - q**4.
q*(q - 2)**2*(q - 1)*(q + 1)/4
Factor 7/3*f**3 + 0*f - 2*f**4 + 0*f**2 + 0.
-f**3*(6*f - 7)/3
Let b(k) be the third derivative of k**5/36 - 55*k**4/48 + 20*k**3/9 - k**2 + 43*k. Factor b(s).
5*(s - 16)*(2*s - 1)/6
Let r(u) be the third derivative of 0 + 12*u**2 - 1/480*u**5 - 1/64*u**4 + 0*u - 1/24*u**3. Factor r(n).
-(n + 1)*(n + 2)/8
Factor 57/5 - 22/5*n + 1/5*n**2.
(n - 19)*(n - 3)/5
Let c be 7 + 4*(-12)/16. Let j(u) be the first derivative of c - 4/3*u**2 - 1/3*u - 16/9*u**3. Solve j(w) = 0.
-1/4
Let t = -1929/5 + 387. Find u, given that 4/5 + 2/5*u**2 - t*u = 0.
1, 2
Let u be (124/10 + -12)*(-10)/(6/(-3)). Determine h, given that 2/5*h**u - 2/5*h + 0 = 0.
0, 1
Let n(i) be the third derivative of i**8/8960 - i**7/2016 + 7*i**6/8640 - i**5/1440 + i**4/2 + 16*i**2. Let q(b) be the second derivative of n(b). Factor q(f).
(f - 1)*(3*f - 1)**2/12
Let r = 182719/23 - 7943. Find z such that r*z**5 - 32/23*z**2 - 2/23*z**3 + 0 + 8/23*z + 68/23*z**4 = 0.
-2, -1, 0, 1/3, 2/5
Suppose -2*a + 1 = -k + 2, k - 7 = -4*a. Suppose -1 + 2 + a + 2*q**2 + 6*q + 2 = 0. Calculate q.
-2, -1
Let c be (-185)/37 - 81/(-15). Let b(j) be the second derivative of 0*j**2 + 3*j + 2*j**3 + 0 - 1/3*j**4 - c*j**5. Solve b(f) = 0.
-3/2, 0, 1
Let g(l) be the first derivative of -l**3 + 36*l**2 - 432*l - 40. Determine q, given that g(q) = 0.
12
Let n(k) = -7*k**3 - 57*k**2 - 1023*k + 2315. Let o(j) = 26*j**3 + 231*j**2 + 4091*j - 9259. Let m(v) = -22*n(v) - 6*o(v). Factor m(l).
-2*(l - 2)*(l + 34)**2
Let j(b) be the second derivative of 0*b**2 + 1/9*b**3 - 1/90*b**6 + 0*b**5 - 10*b + 1/12*b**4 + 0. Suppose j(p) = 0. Calculate p.
-1, 0, 2
Let z(y) be the first derivative of 3/2*y**2 + 2/3*y + 1/2*y**6 - 3/2*y**4 + 2/15*y**5 - 12 - 4/9*y**3. Let z(v) = 0. Calculate v.
-1, -2/9, 1
Let w = -1673697/59 - -28367. Let b = 1222/531 + w. Factor 0*l + 0*l**3 + 0 + b*l**5 + 0*l**2 - 4/9*l**4.
2*l**4*(7*l - 2)/9
Let f be 0/(-2) - (0 - 2). Let d(r) = 2*r**2 - 22*r - 19. Let k be d(12). Determine b so that 0*b**2 - 3*b**f - 3*b**3 - 3*b**2 - k*b + 2*b = 0.
-1, 0
Let q(m) be the third derivative of -m**6/1260 + m**5/210 + 17*m**3/6 - 16*m**2. Let p(y) be the first derivative of q(y). Determine n so that p(n) = 0.
0, 2
Suppose -19*b**4 - 7*b**4 + 12*b - 3*b**5 - 9*b**3 + 38*b**4 - 12*b**2 = 0. What is b?
-1, 0, 1, 2
Let i(j) be the first derivative of -3*j**4/16 - 19*j**3/4 - 297*j**2/8 - 243*j/4 + 40. Find s such that i(s) = 0.
-9, -1
Suppose 15*b - 25 = 10*b, 4*v + 25 = 5*b. Let u(a) be the third derivative of 0*a**5 - 1/24*a**4 - 4*a**2 + 0*a + 1/360*a**6 + 1/9*a**3 + v. Factor u(x).
(x - 1)**2*(x + 2)/3
Factor -48/5 - 3/5*t**2 - 51/5*t.
-3*(t + 1)*(t + 16)/5
Suppose 9*v = 3*v. Suppose v = -47*h + 41*h. Solve h + 3/8*z + 9/4*z**3 + 3/2*z**4 + 3/2*z**2 + 3/8*z**5 = 0 for z.
-1, 0
Let d = 115 - 111. Suppose 0 = -7*r + d*r. Factor -12/7*y**3 + r + 0*y**2 + 4/7*y**4 + 16/7*y.
4*y*(y - 2)**2*(y + 1)/7
Let p be (30/(-16))/(18/(-8)). Let z = p - -2/3. Find d, given that -z*d + 1/4*d**2 + 9/4 = 0.
3
Suppose 3*v - 5*f + 4 = 0, -3*f = -5 - 1. Factor 2/19*z**v + 16/19*z + 32/19.
2*(z + 4)**2/19
Let y(w) be the first derivative of -5/6*w**3 - 1/4*w - 1/24*w**6 - 5/8*w**2 - 1/4*w**5 - 5/8*w**4 - 21. Factor y(h).
-(h + 1)**5/4
Suppose -4*q - 37 - 55 = 0. Let w be -6*(q/21 + 1). Suppose 8/7*u**3 - 10/7*u**2 + 6/7 - w*u = 0. Calculate u.
-3/4, 1
Let y = -13 + 17. Let t be (-2)/y*(-2 - 0). Factor 3*z + 9*z**2 - z + t - 8*z**2.
(z + 1)**2
Let o be 60/50*(7/3 + 1). Let m be 1 - (o - 10/2). Factor 1/6*r**m + 0 + 1/3*r.
r*(r + 2)/6
Let a(g) be the first derivative of -g**6/135 - 4*g**5/135 + 11*g**4/108 - g**3/9 - 9*g**2/2 + 8. Let q(i) be the second derivative of a(i). Factor q(z).
-2*(z + 3)*(2*z - 1)**2/9
Let u = -8209/3 + 2656. Let n = 81 + u. Factor n*l**2 + 0 - 4/3*l.
2*l*(l - 2)/3
Let s(o) = 29*o**2 - 3*o + 1. Let b be s(1). Let u = b + -23. Factor -u*c + 4*c**2 - 2*c**3 - 2*c**2 + 6*c**2 - 2*c.
-2*c*(c - 3)*(c - 1)
Let l = 91 - 194. Let b = -103 - l. Factor b - 2/11*k 