or h.
-27, 2
Factor 0*q**3 - 1/5*q**4 + 0 - 2/5*q + 3/5*q**2.
-q*(q - 1)**2*(q + 2)/5
Let r(m) = -m + 8. Let t be r(6). Let p(s) be the first derivative of -4*s**t - s**2 - 12*s + 1 + 0*s**2 - s**3 - s**2. Suppose p(v) = 0. What is v?
-2
Let f = -696/2387 + 2/341. Let k = f - -11/14. Factor -1/2 - k*i**2 - i.
-(i + 1)**2/2
Let p(n) be the second derivative of n**6/75 - 7*n**5/25 - 8*n**4/5 - 10*n**3/3 - 17*n**2/5 - 6*n + 40. Determine f so that p(f) = 0.
-1, 17
Let o be (-2)/(-18)*3 - 4/(29 - 17). Let o*d**2 + 1/8*d**4 + 0*d + 0*d**3 + 0 = 0. Calculate d.
0
What is m in 2922*m**2 - 6 - 108*m + 58 - 2914*m**2 = 0?
1/2, 13
Let u = 1296581 - 479734511/370. Let f = -3/74 + u. Factor f*a**2 - 1/5*a**3 + 8/5 - 12/5*a.
-(a - 2)**3/5
Let t(g) be the third derivative of -g**8/2 - 74*g**7/105 + 77*g**6/30 - 32*g**5/15 + 2*g**4/3 + 52*g**2. Suppose t(s) = 0. What is s?
-2, 0, 2/7, 1/3, 1/2
Let o(u) be the third derivative of u**5/12 + 55*u**4/6 + 1210*u**3/3 + 8*u**2 + 8*u. Solve o(q) = 0.
-22
Let m(n) be the third derivative of n**7/490 + 6*n**6/35 + 115*n**5/28 - 6*n**4/7 - 288*n**3/7 + 118*n**2. Find i such that m(i) = 0.
-24, -1, 1
Factor 135 + 18*f + 3/5*f**2.
3*(f + 15)**2/5
Let x(k) be the second derivative of k**7/105 + 2*k**6/25 + k**5/10 - 2*k**4/3 - 12*k**3/5 - 16*k**2/5 + 2*k + 130. Let x(r) = 0. What is r?
-4, -2, -1, 2
Let j(q) be the third derivative of 33*q**5/40 + 35*q**4/16 + q**3/2 - 28*q**2. Factor j(i).
3*(i + 1)*(33*i + 2)/2
Let z(n) be the first derivative of n**6/15 + n**5/5 - n**4/6 - 2*n**3/3 - 5*n + 7. Let d(y) be the first derivative of z(y). Factor d(p).
2*p*(p - 1)*(p + 1)*(p + 2)
Let 7/2*l**4 + 1/6*l**5 + 5/2*l**2 - 6 + 55/6*l**3 - 28/3*l = 0. Calculate l.
-18, -2, -1, 1
Let k(u) be the third derivative of -u**8/168 + 58*u**7/735 - 17*u**6/140 - 44*u**5/105 + u**4/3 + 56*u**2. Suppose k(z) = 0. Calculate z.
-1, 0, 2/7, 2, 7
Let x = 2458/2745 + -2/305. Factor 0 - 2/9*k**4 + 2/3*k**3 - x*k + 0*k**2.
-2*k*(k - 2)**2*(k + 1)/9
Let m(b) be the second derivative of b**6/90 - b**5/15 - b**4/2 - 10*b**3/9 - 7*b**2/6 - 145*b. Solve m(t) = 0.
-1, 7
Suppose f - 1 = -0. Let k(g) = -g + 1. Let c(n) = -7*n**2 - 15. Let o(q) = -c(q) - 6*k(q). Let p(h) = h**2. Let l(r) = f*o(r) - 6*p(r). Factor l(d).
(d + 3)**2
Let p = 6597 + -19547/3. Let l = p + -81. Factor 1/3*x**2 + l*x - 2/3.
(x - 1)*(x + 2)/3
Let p(s) = -s**2 + 12*s + 10. Let f be p(8). Solve 12*u**5 - 30*u**5 - 16*u - f*u**5 + 76*u**3 + 12*u**4 - 12*u**5 = 0.
-2/3, 0, 1/2, 1
Let p(v) be the second derivative of v**7/399 + v**6/95 - 2*v**4/57 + 6*v + 1. Solve p(y) = 0.
-2, 0, 1
Let y be (-10)/(-135)*(-50 - -77). Factor -1/4*l**4 - 5/4*l + 1/2 + 3/4*l**y + 1/4*l**3.
-(l - 1)**3*(l + 2)/4
Suppose 58/5*a**2 + 0 + 12/5*a - 128/15*a**3 + 22/15*a**4 = 0. Calculate a.
-2/11, 0, 3
Let j(x) = x**2 + 7*x + 6. Let w be j(-5). Let d be ((-18)/w)/((-2)/(-4)). Factor -k**2 + 2*k + 22*k**4 + 3*k**4 - 4*k**4 - d*k**3 - 13*k**3.
k*(k - 1)*(3*k - 1)*(7*k + 2)
Let g(u) = 9*u**2 - 303*u - 1209. Let v = 109 - 142. Let k(o) = o**2 - 38*o - 151. Let n(x) = v*k(x) + 4*g(x). Factor n(b).
3*(b + 7)**2
Let r(l) be the first derivative of -2*l**3/15 - 2*l**2/5 + 6*l - 14. Let r(w) = 0. Calculate w.
-5, 3
Let b be (4/7)/(18/(-21) + 1). Let l(a) = a**3 - 5*a**2 + a - 2. Let y be l(5). Find r such that -2*r**3 - 7*r**2 + b*r + r**2 - r + 5*r**y = 0.
0, 1
Let s(i) be the first derivative of 37 + 53*i**3 - 54*i**3 - 835*i + 160*i - 45*i**2. Find r, given that s(r) = 0.
-15
Let p(r) = r**3 - 2*r**2 - 2*r. Let d be p(0). Let 1/2*z + d*z**3 + 3/4*z**2 - 1/4*z**4 + 0 = 0. What is z?
-1, 0, 2
Let v(p) = -3*p**2 + 3. Let s(c) be the second derivative of c**4/4 + c**3/6 - 2*c**2 + 10*c. Let t(h) = -3*s(h) - 2*v(h). Solve t(q) = 0 for q.
-2, 1
Let z be 14/6 + -2 - 12/144. Let o = -1/12 + 1/3. Factor o*x**5 + 0 + 1/4*x**2 + 0*x - 1/4*x**3 - z*x**4.
x**2*(x - 1)**2*(x + 1)/4
Let r(x) = -x**2 + x. Suppose -3*z - 1 = -4*z. Let c(u) = -3 - z + 3 - 2 + 6*u - 3*u**2. Let p(q) = c(q) - 6*r(q). Factor p(v).
3*(v - 1)*(v + 1)
Let z be (310/(-93))/(-1 + 1/3). Suppose 446*l**4 + 5*l**3 - 5*l**z - 10*l**2 - 436*l**4 + 0*l**5 = 0. Calculate l.
-1, 0, 1, 2
Let y(f) = 6*f**2 + 10*f + 7. Let q be y(-1). Let g(a) be the second derivative of -1/18*a**4 + 0*a**2 + 1/30*a**5 + 0 - 2/9*a**q + 4*a. Factor g(l).
2*l*(l - 2)*(l + 1)/3
Let d = 351 - 351. Let t(f) be the third derivative of 0*f**3 + d*f + f**2 + 1/12*f**4 - 1/30*f**5 + 0. Determine n, given that t(n) = 0.
0, 1
Let h = -51 + 54. Factor -2 - 346*a**3 + 344*a**3 + h*a - 2*a**4 + a**5 + 4*a**2 - 2*a.
(a - 2)*(a - 1)**2*(a + 1)**2
Let h(v) be the third derivative of v**8/10080 + v**7/945 + v**6/270 + 13*v**4/24 - 16*v**2. Let u(t) be the second derivative of h(t). Factor u(q).
2*q*(q + 2)**2/3
Suppose 2*z - 5 = 9. What is i in z - 28*i - 1 - 11*i - 42*i**3 + 75*i**2 = 0?
2/7, 1/2, 1
Let p = 2 + -2. Let u(j) be the second derivative of 0*j**3 + 0*j**4 - 1/10*j**6 + 1/28*j**7 + p*j**2 + 0 - 8*j + 3/40*j**5. Factor u(g).
3*g**3*(g - 1)**2/2
Let s = 4819 + -24083/5. Factor -9/5*v**2 + 3/5*v**4 + 12/5*v + s - 6/5*v**3.
3*(v - 2)**2*(v + 1)**2/5
Suppose 22/3*h**2 - 10/9*h**3 + 0 + 28/9*h = 0. Calculate h.
-2/5, 0, 7
Let m(l) = 23*l**3 + 252*l**2 + 15*l + 288. Let g be m(-11). Factor -4/5*p**3 - 8/5*p**g + 0 + 12/5*p.
-4*p*(p - 1)*(p + 3)/5
Let h = -8 + 7. Let n = 6 + h. Factor n*k + 4*k**2 + 4 - 4*k + 7*k.
4*(k + 1)**2
Let f(s) be the first derivative of -2*s**6/3 - 16*s**5 - 145*s**4 - 600*s**3 - 1080*s**2 - 864*s - 27. Factor f(p).
-4*(p + 1)**2*(p + 6)**3
Let j(a) be the first derivative of -a**4/12 + 2*a**3/9 + a**2/2 + 58. What is g in j(g) = 0?
-1, 0, 3
Let q be (19 - (21 - 10))*28/72. Factor 4/9*c**2 + 8/3 - q*c.
4*(c - 6)*(c - 1)/9
Let r be -5 + 21/6 - 135/(-10). Let d(c) be the third derivative of 0*c - r*c**2 - 3/4*c**3 + 1/8*c**4 + 0 - 1/120*c**5. Determine z, given that d(z) = 0.
3
Let 7/5*j**4 + 23/5*j - 1/5*j**2 - 23/5*j**3 - 6/5 = 0. What is j?
-1, 2/7, 1, 3
Let n(u) be the second derivative of -u**6/30 + 7*u**5/30 - u**4/3 - 7*u**3/9 + 5*u**2/2 - 28*u + 2. Find y such that n(y) = 0.
-1, 1, 5/3, 3
Suppose 7*k - 12 = 3*k. Factor 11*l + 15*l + 2*l**3 - 8*l**2 - 42*l + 2*l**k + 32.
4*(l - 2)**2*(l + 2)
Let x(o) = -2313*o + 4632. Let t be x(2). Factor 3*l + 0 + t*l**2 + 15/4*l**3 + 3/4*l**4.
3*l*(l + 1)*(l + 2)**2/4
Solve -575/3*x + 49/3*x**2 - 625/3 - 1/3*x**3 = 0.
-1, 25
Suppose 41*l = 18*l + 15*l. Let t = 0 - 0. Let t - 1/3*n**2 + l*n = 0. What is n?
0
Factor 0 + 2/3*x**3 - 2/3*x**2 - 4/3*x.
2*x*(x - 2)*(x + 1)/3
Suppose 0*p**5 + 16 + 103*p**2 + 3 + 55*p**3 + 0 + 88*p + 9 + 13*p**4 + p**5 = 0. Calculate p.
-7, -2, -1
Let h = 8825 + -8823. What is q in 432/7 + 216/7*q + 36/7*q**h + 2/7*q**3 = 0?
-6
Let j = 4741/4 - 3975/4. Let l = 192 - j. Determine a, given that 0*a**3 + 3/2*a**2 + 0 - a - l*a**4 = 0.
-2, 0, 1
Let k = 104 - 102. Let m(d) be the third derivative of 5*d**k + 0 - 1/24*d**4 - 1/240*d**5 + 0*d - 1/8*d**3. Factor m(h).
-(h + 1)*(h + 3)/4
Let f(p) be the third derivative of -1/330*p**5 + 32*p**2 + 0*p**3 + 0 + 1/44*p**4 + 0*p. Factor f(z).
-2*z*(z - 3)/11
Let w be (-126)/84 + 131/4. Factor -25/2*v - 5/4*v**2 - w.
-5*(v + 5)**2/4
Let l = 1019/18 - 283/5. Let s(f) be the second derivative of 0*f**3 + 0*f**4 - 1/60*f**5 + l*f**6 + 0 + 0*f**2 - 2*f. Let s(i) = 0. Calculate i.
0, 1
Factor 18 - 33/4*c + 3/4*c**2.
3*(c - 8)*(c - 3)/4
Suppose 0 + 50/9*t + 130/9*t**2 - 58/9*t**3 + 2/3*t**4 = 0. What is t?
-1/3, 0, 5
Factor -57*l + 97*l + 98 + 56*l - 2*l**2.
-2*(l - 49)*(l + 1)
Factor -775*a**2 + 1369*a**3 - 378*a**2 - 2520*a + 16 - 1312 - 1299*a**3 - a**4.
-(a - 36)**2*(a + 1)**2
Let a = -23 + 28. Suppose 8*k - a*k = 0. Factor 0*f + k*f + f + 3*f - 6*f**2.
-2*f*(3*f - 2)
Let w = 289580/434379 - -2/144793. Factor w*x - 2/3*x**3 + 4/3*x**2 - 1 - 1/3*x**4.
-(x - 1)**2*(x + 1)*(x + 3)/3
Let i(w) = 123*w - 1349. Let k be i(11). Let l(z) be the first derivative of z**3 + 3/2*z**2 + 1/4*z**k + z + 1. Factor l(h).
(h + 1)**3
Let c(d) = -d - 4. Let b be c(-3). Let u be 12*(9/(-12))/b. Find a, given that -5*a + 5*a - 3*a**2 - u*a = 0.
-3, 0
Let m(i) be the second derivative of 0*i**5 + 3/16*i**4 - 7*i - 1/40*i**6 + 0*i**2 - 1/4*i**3 + 0. Factor m(g).
-3*g*(g - 1)**2*(g + 2)/4
Let k = 