j(k). Factor a(l).
2*(l - 2)*(l + 1)*(l + 3)
Let h be 76/16 - (-3)/12. Solve h*p**3 + 0*p**3 + 12*p**2 - 3*p**3 = 0.
-6, 0
Determine g, given that 68*g**2 - 59*g**2 + 15*g - 29*g**2 + 5*g**3 = 0.
0, 1, 3
Let r(a) = -10*a**2 - 35*a - 20. Let o(g) = -6*g**2 + 7*g**2 + 8*g**2 + 17*g + 21 + 17*g. Let c(p) = -5*o(p) - 4*r(p). Factor c(u).
-5*(u + 1)*(u + 5)
Let s(y) be the second derivative of y**4/7 + 17*y**3/42 - y**2/2 + 62*y. Factor s(m).
(3*m - 1)*(4*m + 7)/7
Let r = 172 + -687/4. Let b(z) be the third derivative of 3/2*z**3 + 1/60*z**5 + r*z**4 + 0*z + 6*z**2 + 0. Factor b(y).
(y + 3)**2
Let d(s) = -4*s**2 - 86*s - 886. Let c(i) = i**2 + i + 2. Let h(f) = 4*c(f) + 2*d(f). Let h(w) = 0. What is w?
-21
Let r(d) be the first derivative of d**5/20 - 7*d**4/16 - 3*d**3/4 + 7*d**2/8 + 2*d + 296. Factor r(i).
(i - 8)*(i - 1)*(i + 1)**2/4
Let n be -3 - (-2 - 0) - -3. Determine d so that -15 + 25 - 18 - n*d**2 - 8*d = 0.
-2
Let m = 3392 - 10174/3. Determine r, given that 2/9 - 2/9*r**3 + 2/3*r**2 - m*r = 0.
1
Suppose i = 4 - 0, 0 = -3*r - i + 13. Factor 4/3*w + 0 + 2/3*w**r + 2*w**2.
2*w*(w + 1)*(w + 2)/3
Let y(r) be the second derivative of r**6/90 - r**5/20 - r**4/12 + 7*r**3/18 + r**2 - r - 51. Solve y(g) = 0 for g.
-1, 2, 3
Solve 3/4*s**2 - 57/2*s + 111/4 = 0.
1, 37
Suppose -2*n - 40 = 3*n. Let l be (-108)/(-72)*n/(-9). Solve -2/3*u + l - 2/3*u**2 = 0.
-2, 1
Let j = -268 + 272. Let s(p) be the first derivative of 4/27*p**3 - 1/18*p**j + 0*p - 1/9*p**2 - 3. Factor s(r).
-2*r*(r - 1)**2/9
Suppose -27*f + 729/8*f**2 + 2 = 0. Calculate f.
4/27
Let h(d) be the second derivative of -d**6/150 + 3*d**5/25 - 7*d**4/12 - 2*d**3/5 + 18*d**2/5 + 13*d. Determine o so that h(o) = 0.
-1, 1, 6
Suppose 0 = w - 3*k - 11, k + k + 4 = -w. Let -13*n**2 + 24*n**2 + 2 - 1 - 12*n**w = 0. What is n?
-1, 1
Let g(i) be the second derivative of -i**6/10 + 57*i**5/20 - 65*i**4/4 + 77*i**3/2 - 45*i**2 - 706*i. Solve g(v) = 0 for v.
1, 2, 15
What is p in -2/13*p**2 + 0 - 2/13*p + 2/13*p**3 + 2/13*p**4 = 0?
-1, 0, 1
Let b(p) be the third derivative of p**5/100 - 17*p**4/10 + 578*p**3/5 - 112*p**2. Find w, given that b(w) = 0.
34
Determine q so that 26/9*q**3 - 8/9*q + 0 - 16/3*q**2 = 0.
-2/13, 0, 2
Let z(c) be the second derivative of c**5/10 + 3*c**4 + 29*c**3 + 110*c**2 - 805*c. Solve z(f) = 0.
-11, -5, -2
Let o = 885 - 881. Let j(t) be the first derivative of -5*t**3 + 9/4*t**o + 7 + 3*t + 3/2*t**2. Factor j(z).
3*(z - 1)**2*(3*z + 1)
Let g(r) be the first derivative of -r**6/1800 + r**5/200 - r**4/60 - 16*r**3/3 + 13. Let o(h) be the third derivative of g(h). Factor o(x).
-(x - 2)*(x - 1)/5
Suppose -4*i + 39 = l + 30, 0 = -3*l + 3. Factor 2/15*q + 0 - 2/15*q**i.
-2*q*(q - 1)/15
Determine i so that 0 - 2/3*i**2 - 2/3*i**4 - 8/3*i**3 + 4*i = 0.
-3, -2, 0, 1
Suppose 0*b = 2*b. Let m be 5 - 24*(-11)/(-88). Find f such that m*f**4 - 1/3*f**2 + b + 11/6*f**3 - 1/6*f = 0.
-1, -1/4, 0, 1/3
Let t(d) = -d**3 - 6*d**2 - 5*d + 2. Let k be t(-5). Let y be (-4 + 3)*-1*k. Factor -3 + 18*l + 5*l**y - 2*l**2 + 14 + 16.
3*(l + 3)**2
Let h = 4/267 - 842/20559. Let k = 144/385 - h. Factor 7/5*q**3 + 0 + k*q**2 + 0*q.
q**2*(7*q + 2)/5
Let d(k) be the second derivative of 3/5*k**6 + 0 + 1/4*k**4 + 36*k + 0*k**2 - k**3 + 39/20*k**5. Determine h so that d(h) = 0.
-2, -1/2, 0, 1/3
Suppose -g + 2 = 0, 3*z - 5*g - 49 = -7*g. Let o be -2 - ((-80)/50 - 6/z). Determine c, given that 2/3*c**3 + 0*c + 0 - 2/3*c**5 + 0*c**4 + o*c**2 = 0.
-1, 0, 1
Factor -1/4*g**2 - 32*g - 1024.
-(g + 64)**2/4
Let u be ((-7 - -4) + 1)*(2 - 4). Let t be (10 - 4 - u)*1/5. Determine m, given that -t*m**2 + 2/5 + 0*m = 0.
-1, 1
Let c = -1 - -1. Let a = 9951/23317 + 6/3331. Factor 0*m + c + a*m**2.
3*m**2/7
Let h = -18/13235 - 49961999/92645. Let s = h - -541. Factor 24/7*i**2 + 6/7 + 2/7*i**4 + 20/7*i + s*i**3.
2*(i + 1)**3*(i + 3)/7
Let d = 306 + -278. Suppose -20 = -3*j - 4*z, -2*z + 10 = -6*j + 2*j. Factor 7*t**2 - d*t**3 + 4*t**3 - 33*t**2 + j + 2.
-2*(t + 1)*(3*t + 1)*(4*t - 1)
Factor 1/4*l**2 - 9/4*l + 7/2.
(l - 7)*(l - 2)/4
Let n be -9 - (-24 + 13 - 2). Suppose 50/3 + 92/3*h**2 + 2/3*h**5 - 14/3*h**n + 130/3*h - 4/3*h**3 = 0. Calculate h.
-1, 5
Let p(m) = 10*m**5 + 65*m**4 + 135*m**3 - 740*m**2 - 1120*m + 2940. Let t(k) = -k**5 - k**2. Let b(d) = p(d) + 5*t(d). Find v, given that b(v) = 0.
-7, -3, 2
Let d(k) be the second derivative of 0 - 5/16*k**4 + 0*k**2 - 5/24*k**3 - 1/24*k**6 + 7*k - 3/16*k**5. Let d(t) = 0. What is t?
-1, 0
Let g(d) be the second derivative of -d**9/4032 - 3*d**8/2240 - d**7/560 + d**3/2 + 11*d. Let v(t) be the second derivative of g(t). Factor v(x).
-3*x**3*(x + 1)*(x + 2)/4
Suppose -2*y + 40 = -0*y + 5*s, 5*y - s - 154 = 0. Let a be (-8)/y*(-3)/2. What is x in -4/5 + 0*x**2 + a*x**3 - 6/5*x = 0?
-1, 2
Let d(v) = v**2 + 14*v - 18. Let u be d(-15). Let i be 8/4 + 3 + u. Determine t so that -4/3*t**i + 4/3 - 2/3*t**3 + 2/3*t = 0.
-2, -1, 1
Find m such that 48*m - 59 + 5*m**2 - 7*m**2 - 10*m**2 - 5 + m**3 = 0.
4
Let g = 375 - 371. Let j(b) be the first derivative of g*b**3 - 9/2*b**2 + 6 + 0*b. Let j(n) = 0. Calculate n.
0, 3/4
Let a(y) be the second derivative of -10/3*y**3 - 5/12*y**4 - 10*y**2 + 0 - 14*y. Factor a(r).
-5*(r + 2)**2
Factor -210 + 2*r**2 - 111*r + 26*r + 17*r + 36*r.
2*(r - 21)*(r + 5)
Let z(o) be the third derivative of -o**8/5376 - o**7/3360 + o**6/1440 + 11*o**4/24 - 25*o**2. Let u(s) be the second derivative of z(s). Solve u(n) = 0 for n.
-1, 0, 2/5
Let f(g) be the second derivative of 0 - 8*g - 8/9*g**3 + 1/18*g**4 + 0*g**2. Determine u, given that f(u) = 0.
0, 8
Let h = -47309 + 47313. Factor q**3 + 1/3*q - q**2 - 1/3*q**h + 0.
-q*(q - 1)**3/3
Factor 5 - g**4 + 2 - 4*g**3 - 41*g**2 - 20*g + 59*g**2.
-(g - 1)**3*(g + 7)
Let f be 3/(-7) - (-144)/168. Factor 0*k + 0 - 1/7*k**3 + f*k**2.
-k**2*(k - 3)/7
Suppose -3*b = -0*b + 48. Let h = -12 - b. Find r such that -3*r**2 + 12*r - h*r + 6*r - 12 - 2*r = 0.
2
Let j(m) be the first derivative of 0*m**3 - 1/38*m**4 + 13 + 0*m - 2/95*m**5 + 0*m**2. Factor j(h).
-2*h**3*(h + 1)/19
Factor 11*r - 738*r**2 + 245*r + 546*r**2 - 4*r**4 + 48*r**3.
-4*r*(r - 4)**3
Let u be 18 + (-1)/((-3)/6). Suppose 4*k + u = 28. What is o in 6*o + 0 - 3 + 3 - k*o**3 - 4 = 0?
-2, 1
Let d = -103 - -89. Let r be (-4)/d + -3 + (-948)/(-308). Factor 2/11*y**4 + 0*y + 0 - 2/11*y**3 - r*y**2.
2*y**2*(y - 2)*(y + 1)/11
Let q(p) = 2*p**2 - 86*p - 84. Let a be q(44). Factor -1/5*n**a + 0*n**3 + 1/5*n**2 + 0*n + 0.
-n**2*(n - 1)*(n + 1)/5
Suppose 0 = -629*u + 632*u - 6. Find n, given that -1/5*n**4 + 0*n + 0*n**u + 1/5*n**3 + 0 = 0.
0, 1
Let l(y) be the second derivative of y**6/80 - 9*y**5/160 - y**4/32 + 3*y**3/16 - 114*y - 2. Factor l(a).
3*a*(a - 3)*(a - 1)*(a + 1)/8
Let h be (3/15)/(126/30). Let z(s) be the second derivative of 0*s**3 + 4*s + 0 + 1/10*s**5 + 0*s**6 + 0*s**4 - h*s**7 + 0*s**2. Determine w so that z(w) = 0.
-1, 0, 1
Let j(w) be the second derivative of -w**4/6 - 10*w**3/3 - 25*w**2 - 274*w. What is q in j(q) = 0?
-5
Factor -146*d**2 + 146*d**2 - d**4 - 7*d**3 - 4*d**4 + 27*d**3.
-5*d**3*(d - 4)
Let k(r) = r**2 - 15*r - 23. Let j be k(17). What is h in 5*h**2 - 21*h + j*h + 15*h = 0?
-1, 0
Let u(z) be the second derivative of -1/100*z**5 + 0*z**4 - 9*z - 4*z**2 + 1/200*z**6 + 0 + 0*z**3. Let a(r) be the first derivative of u(r). Factor a(q).
3*q**2*(q - 1)/5
Let g(b) be the second derivative of b**4/20 - 7*b**3/10 + 18*b**2/5 - 2*b - 8. Find r such that g(r) = 0.
3, 4
Let y(k) be the third derivative of -16*k**2 + 0 + 0*k**3 + 0*k + 1/70*k**7 - 1/20*k**5 - 1/40*k**6 + 1/8*k**4. Factor y(q).
3*q*(q - 1)**2*(q + 1)
Let b(t) be the first derivative of -1/7*t**4 + 0*t**3 + 0*t - 2/7*t**5 + 0*t**2 - 9. What is w in b(w) = 0?
-2/5, 0
Determine h so that 4/3*h**5 + 4/3*h + 4 - 8*h**2 + 4*h**4 - 8/3*h**3 = 0.
-3, -1, 1
Factor 2*h - 9*h**3 + 4 - h**4 + 4 - 7*h**2 + 2*h + h + 4*h.
-(h - 1)*(h + 1)**2*(h + 8)
Let g be 2 - ((0 - -1 - -1) + 0/11). Determine f, given that g + 0*f - 2/3*f**2 = 0.
0
Let c(o) be the third derivative of 6561*o**6/440 + 5103*o**5/110 + 1323*o**4/22 + 1372*o**3/33 - o**2 - 128. Factor c(y).
(27*y + 14)**3/11
Let u(b) = -b**2 + 2*b + 5. Let s be u(0). Suppose 4*x - 69 = -s*q, 2*q = -x + 2*x + 25. Factor 12*o + 7*o**3 + 5*o**3 + 11*o*