en that l(g) = 0.
2/3, 1, 2
Let w(c) = 2*c**3 + 18*c**2 + 35*c - 1. Let n be w(-6). Let m(t) be the second derivative of 1/9*t**3 - 1/90*t**n + 0 + 1/27*t**4 + 0*t**2 + 3*t. Factor m(r).
-2*r*(r - 3)*(r + 1)/9
Let d = 226 - 231. Let m be 12*d/(-210)*9. Factor -10/7*c**3 + 4/7 - 2*c + m*c**2 + 2/7*c**4.
2*(c - 2)*(c - 1)**3/7
Let a(f) be the second derivative of -f**5/40 - 3*f**4/8 - 9*f**3/4 - 27*f**2/4 + 67*f. Factor a(n).
-(n + 3)**3/2
Suppose -12 = -382*w + 380*w. Let z(l) = -2*l**3 + 9*l**2 + 21*l - 12. Let t be z(w). Solve 0 - 9/2*m**5 - 18*m**3 - 33/2*m**4 - t*m**2 + 0*m = 0.
-2, -1, -2/3, 0
Suppose -31*m + 33*m = 14. Suppose 0 = -5*p + 5*a + 15, -12 = 2*p - m*p + 2*a. Solve 2*i + 0 - 2/3*i**p = 0 for i.
0, 3
Let u(k) be the third derivative of k**7/105 - k**6/6 + 17*k**5/30 - 2*k**4/3 + 3*k**2 + 32. Determine s so that u(s) = 0.
0, 1, 8
Suppose -9*m - 6*m = -21*m. Let t(w) be the second derivative of m*w**2 - 1/60*w**5 + 0*w**3 - 1/12*w**4 + 0 + 11*w. Suppose t(d) = 0. Calculate d.
-3, 0
Let b be (-2 + (-10)/(-4))*0. Let a be (5 + 2)*12/42. Find s such that b*s - 2*s**2 - 3 - 2*s - s + 5*s**a + 3*s**3 = 0.
-1, 1
Let p(c) be the third derivative of c**8/112 - 3*c**7/35 + c**6/4 - 11*c**4/8 + 3*c**3 - c**2 + 7*c. Solve p(x) = 0 for x.
-1, 1, 2, 3
Let o(b) = -b**4 - 2*b**3 + b**2 + b. Let q(h) = -h**4 + 2*h**3 + 11*h**2 + 2*h. Let t(a) = -2*o(a) + q(a). Factor t(i).
i**2*(i + 3)**2
Suppose 4*w = 5 + 7. Let l be w/(-18) - 93/(-18). Factor 4*p**3 + 3*p**2 + 5*p**2 + 0*p - p - l*p**2.
p*(p + 1)*(4*p - 1)
Let r(j) be the second derivative of -8/21*j**3 - 2/35*j**5 - 2/7*j**2 - 5/21*j**4 + 0 + 15*j. Solve r(b) = 0.
-1, -1/2
Suppose -6*p + 24*p**2 + 8*p**3 - 2*p**5 + 4*p**4 - 66*p**2 + 18*p**2 + 20*p**2 = 0. What is p?
-1, 0, 1, 3
Let n(p) = 6*p**3 - 12*p + 9. Let j(u) = 5*u**3 - 11*u + 8. Suppose 2*t - 15 = -3*t. Let a(c) = t*j(c) - 2*n(c). Factor a(b).
3*(b - 1)**2*(b + 2)
Suppose 2*w - 6 = 24. Let -48*k**2 + 14*k**2 + w - 33*k - 5*k**2 + 9*k**3 = 0. What is k?
-1, 1/3, 5
Suppose 2*s + 23 + 19 = 2*k, 0 = 4*k + 5*s - 48. Suppose -k*o + 16*o = -5. Solve 12*p + 4 - 3*p**2 + o*p**2 + 14 = 0.
-3
Let i(p) be the second derivative of -p**5/10 - 17*p**4/6 - 14*p**3 - 334*p. Factor i(a).
-2*a*(a + 3)*(a + 14)
What is x in 2*x - 2/9*x**3 + 0*x**2 + 0 = 0?
-3, 0, 3
Let c be 3/(-2) + 1 + (-258)/(-504). Let k(b) be the second derivative of 1/21*b**3 - c*b**4 + 0 - 1/140*b**5 + 0*b**2 - b. Factor k(d).
-d*(d - 1)*(d + 2)/7
Let u be 24/10*(-100)/(-15). Let p be (3/(-9))/(u/(-144)). Factor 0 - 162/7*x - 3000/7*x**4 - 2700/7*x**p - 1080/7*x**2 - 1250/7*x**5.
-2*x*(5*x + 3)**4/7
Let u = -219/175 + 48/35. Let l = 83/275 - u. Find h, given that -l*h**2 + 0*h + 2/11 = 0.
-1, 1
Factor -14/11*l - 4/11*l**2 - 12/11.
-2*(l + 2)*(2*l + 3)/11
Let g be ((-2)/7 - 10/(-35))/2. Let f(h) be the third derivative of 8*h**2 - 1/60*h**4 + g*h + 1/300*h**5 + 0 + 0*h**3. Find j such that f(j) = 0.
0, 2
Factor -29*a**4 + 229*a - 211*a**4 - 5200*a**2 - 969*a - 7470*a**3 - 1735*a**3 - 5*a**4.
-5*a*(a + 37)*(7*a + 2)**2
Let y(l) be the second derivative of -l**5/5 + 9*l**4 - 130*l**3 + 338*l**2 + 74*l. Factor y(b).
-4*(b - 13)**2*(b - 1)
Let t = 41 + -119/3. Let b(d) be the first derivative of 2/5*d**5 - 4 + 1/2*d**4 + 0*d - t*d**3 + 0*d**2. Suppose b(o) = 0. Calculate o.
-2, 0, 1
Let q be (3 + -1)/(4/(-18)). Let k be -2*(-3)/(q/(-6)). Factor k*f**3 - f**3 + f**2 - 2*f**3.
f**2*(f + 1)
Let w be 5*(-36)/480*-4 + 6/(-4). Factor -6/5*f + w - 2/5*f**2.
-2*f*(f + 3)/5
Let q be 42/(-4)*(0 - (-28)/(-315)). Let a(d) = d**2 + 15*d + 36. Let g be a(-12). Let -2/15*h**2 + g - 2/5*h**5 - q*h**4 - 2/3*h**3 + 0*h = 0. Calculate h.
-1, -1/3, 0
Let l be 5*4*3/12. Suppose 10*z**3 + 4 - 20*z**2 - 5*z + 6 + 0*z**l - 5*z**5 + 10*z**4 = 0. What is z?
-1, 1, 2
Suppose -27*w + 39 = -69. Let i(g) be the second derivative of 0 + 3/10*g**5 - 13/12*g**w + 2*g**3 - 8*g - 2*g**2 - 1/30*g**6. Solve i(u) = 0.
1, 2
Let h(f) be the third derivative of -f**7/1155 + f**6/165 + f**5/110 - 7*f**4/66 + 8*f**3/33 - 616*f**2. Find x such that h(x) = 0.
-2, 1, 4
Let x(s) be the third derivative of -9*s**8/224 - 6*s**7/35 + 5*s**6/8 + s**5/10 - 17*s**4/16 - s**3 + 2*s**2 - 171*s. Let x(q) = 0. What is q?
-4, -1/3, 1
Suppose -2*l = -2*n + 2, -l + n + 14 = 5*n. Factor -100*p - 97*p + 6*p**l - 2*p**4 + 201*p.
-2*p*(p - 2)*(p + 1)**2
Determine t, given that -4/7*t**3 + 0*t + 1/7*t**5 + 0 + 8/7*t**2 - 2/7*t**4 = 0.
-2, 0, 2
Factor 2/7*w**3 + 282/7*w**2 + 207646/7 + 13254/7*w.
2*(w + 47)**3/7
Let p(m) be the third derivative of -1/56*m**4 + 1/7*m**3 + 0*m - 7*m**2 - 1/140*m**5 + 0. Let p(s) = 0. What is s?
-2, 1
Suppose 7*g + 12 = 10*g. Factor -53*n**5 + 2*n**4 + 30*n**3 + 70*n**2 + 15 + 48*n**5 + 55*n - 7*n**g.
-5*(n - 3)*(n + 1)**4
Let m be (1 - 1)/(21/21). Let q(z) be the first derivative of 2/17*z**2 - 10 + 2/51*z**3 + m*z. Factor q(b).
2*b*(b + 2)/17
Let n be 15 + -24 + (-3243)/(-27). Factor n*c + 2/9*c**4 + 100/3*c**2 + 1250/9 + 40/9*c**3.
2*(c + 5)**4/9
Suppose -504/19*c**2 - 128/19*c**4 - 10/19 + 122/19*c + 736/19*c**3 = 0. Calculate c.
1/4, 5
Let i(d) = -8*d + 3. Let k be i(2). Let o = k + 15. Suppose -4*z**2 - z**o + z**2 - 4*z**2 - 5*z**3 - z**4 - 4*z = 0. Calculate z.
-2, -1, 0
Let d(h) = -85*h**2 + 767*h - 18. Let c be d(9). Solve 75/4*p + c - 18*p**3 - 15/2*p**4 - 3/4*p**5 + 15/2*p**2 = 0.
-5, -1, 0, 1
Let o(c) be the second derivative of -3*c**5/20 + 5*c**4 - 37*c**3/2 + 27*c**2 + 12*c - 5. Let o(s) = 0. Calculate s.
1, 18
Let z(f) be the first derivative of -1/6*f**4 - 2 + 0*f**2 + 2/9*f**3 + 0*f. Solve z(d) = 0.
0, 1
Let i = -24238/5 + 4850. Suppose i*d - 18/5*d**2 - 3/5 + 12/5*d**3 - 3/5*d**4 = 0. Calculate d.
1
Suppose 74 - 62 = q. Suppose -13*h = -2*l - q*h, 2*h = 8. Solve 0*r - 2/11*r**3 + 4/11*r**l + 0 = 0 for r.
0, 2
Let q(r) be the second derivative of -r**4/4 + r**3/3 - r**2 - 21*r. Let h(n) = -4*n**2 + 3*n - 3. Let w(y) = -4*h(y) + 6*q(y). Determine f so that w(f) = 0.
0
Let k(o) = -9*o**3 + 15*o**2 - 33*o + 12. Let n(u) = -4*u**3 + 8*u**2 - 16*u + 6. Let x(c) = 2*k(c) - 5*n(c). Factor x(v).
2*(v - 3)*(v - 1)**2
Solve -1/6*j**3 - 62/3 - 9/2*j**2 + 20*j = 0 for j.
-31, 2
Let f(l) be the first derivative of 1/15*l**3 + 0*l + 1/5*l**2 - 1/25*l**5 + 13 - 1/10*l**4. Factor f(c).
-c*(c - 1)*(c + 1)*(c + 2)/5
Let v(g) be the second derivative of -g**4/60 - 16*g**3/15 + 34*g**2/5 + 355*g + 2. Factor v(i).
-(i - 2)*(i + 34)/5
Let c(b) be the third derivative of 3/8*b**4 + 0*b - 1/20*b**5 - b**3 + 0 - b**2. Factor c(p).
-3*(p - 2)*(p - 1)
Let o be (-26)/(-104) + (-2)/8. Let m(w) be the first derivative of -1/30*w**4 + 8/45*w**3 + o*w - 2 - 4/15*w**2. Suppose m(k) = 0. Calculate k.
0, 2
Let r(o) be the first derivative of -o**4/60 - o**3/10 - o**2/5 - 25*o + 17. Let k(m) be the first derivative of r(m). Factor k(z).
-(z + 1)*(z + 2)/5
Let u(j) be the third derivative of -j**9/60480 + j**8/6720 - j**7/2520 - j**4/12 + 15*j**2. Let h(d) be the second derivative of u(d). Factor h(b).
-b**2*(b - 2)**2/4
Let p(o) be the first derivative of -16*o**5/5 + 5*o**4 + 28*o**3/3 - 4*o**2 + 15. Factor p(i).
-4*i*(i - 2)*(i + 1)*(4*i - 1)
Suppose 134*m - 276 + 31 = 157. What is u in 1/2*u**5 - 1/4*u**m - 3/4*u**2 + 3/4*u**4 + 0 - 1/4*u = 0?
-1, -1/2, 0, 1
Let g(p) be the first derivative of -8*p**3/3 + 15*p**2/2 + 8*p - 20. Let x(w) = -15*w**2 + 31*w + 16. Let d(q) = -5*g(q) + 3*x(q). Let d(r) = 0. What is r?
-2/5, 4
Let n be 68/17*7/2. Factor 7*z**2 - 19*z**2 + n*z**2.
2*z**2
Let f(i) be the first derivative of i**8/1344 - i**6/240 + i**4/96 + 6*i**2 + 9. Let q(m) be the second derivative of f(m). Suppose q(x) = 0. Calculate x.
-1, 0, 1
Let j(m) be the first derivative of 1/15*m**6 + 2/5*m + 4/15*m**3 + 1/5*m**4 - 6/25*m**5 - 3/5*m**2 - 8. Determine k so that j(k) = 0.
-1, 1
Let b be (-8)/(-6)*-18*(-9)/108. Let c(g) be the first derivative of -1/7*g**b + 2/7*g**4 - 8/21*g**3 + 2/7*g + 7. Suppose c(r) = 0. Calculate r.
-1/2, 1/2, 1
Determine c, given that 1/4*c**2 - 2*c - 5 = 0.
-2, 10
Let p(j) be the first derivative of 1/45*j**6 + 0*j + 0*j**2 + 0*j**5 + 0*j**3 - 1/30*j**4 - 2. Factor p(w).
2*w**3*(w - 1)*(w + 1)/15
Let b(y) = -4*y**3 + y**2 + 3*y + 3. Let l(g) = -g**3 + g**3 - g**3 + 1 + g. Let n = 50 + -49. Let v(s) = n*b(