**5 + 0*a**2 + 2*a**2 - 230.
2*a**2*(a - 1)**2*(a + 4)
Let o(f) = 15*f**4 + 194*f**3 + 881*f**2 - 670*f - 390. Let u(p) = p**4 + p**2 + 2*p + 2. Let z(w) = -2*o(w) + 10*u(w). What is r in z(r) = 0?
-10, -2/5, 1
Let x = -17 - -10. Let r be 21/35 + x/(-5). Find w such that -12*w**2 - 3*w**r + 20*w**3 - 8*w + 3*w**2 = 0.
-2/5, 0, 1
Let g(z) be the second derivative of 0 + 1/26*z**5 + 0*z**2 + 2/195*z**6 + 5*z + 2/39*z**4 + 1/39*z**3. Find k such that g(k) = 0.
-1, -1/2, 0
Let i(k) be the second derivative of 4*k - 1/168*k**7 + 0*k**2 + 0*k**4 + 0*k**3 - 1/20*k**5 + 1/30*k**6 + 0. Find z, given that i(z) = 0.
0, 2
Suppose -2*l - 3*l = j + 7, 0 = -2*l - 4. Find c, given that -4 - j*c - 5*c**3 + 5*c + 3*c**3 + 4*c**2 = 0.
-1, 1, 2
Let x be 3260/12 - (2/6)/(-1). Factor 32 + 32*f + 0*f**3 + x*f**2 + f**3 - 262*f**2.
(f + 2)*(f + 4)**2
Let d(a) be the second derivative of -1/15*a**5 + 1/45*a**6 + 0 + 1/63*a**7 + 0*a**2 + 12*a + 0*a**4 + 0*a**3. Factor d(l).
2*l**3*(l - 1)*(l + 2)/3
Let l(t) be the second derivative of -t**5/150 + t**4/30 + t**3/5 + t**2/3 - t + 11. Factor l(p).
-2*(p - 5)*(p + 1)**2/15
Let j = 15305 + -137743/9. Factor 2/3*w**2 + 0 + 2/3*w**3 + 2/9*w**4 + j*w.
2*w*(w + 1)**3/9
Let r(q) be the first derivative of -q**3/12 + q**2/2 - 3*q/4 + 82. Let r(s) = 0. What is s?
1, 3
Let o be (970/(-125) + 8)*(-200)/(-15). Factor -2/5*u**4 + 0*u**3 + 12/5*u**2 - o*u + 6/5.
-2*(u - 1)**3*(u + 3)/5
Let d(t) be the second derivative of t**4/84 - t**3/21 + t**2/14 - 177*t. Suppose d(n) = 0. What is n?
1
Solve 149 - 57 - 54*b - 6*b**3 - 88*b**2 - 64 = 0.
-14, -1, 1/3
Let m be -4 - (-9)/(36/128). Suppose m*j = 29*j - 2. Factor 3/2*h - 3/4*h**j - 3/2*h**3 + 3/4.
-3*(h - 1)*(h + 1)*(2*h + 1)/4
Let z(p) be the second derivative of -101*p**5/5 - 33*p**4 + 4*p**3/3 - 114*p - 2. Determine a, given that z(a) = 0.
-1, 0, 2/101
Suppose 19 = 4*x + 15. Suppose 3*s - 12 = -f, 3*s + 2 = 4*f - x. Factor -4*t**2 - 4*t + 7*t**3 + 0*t + 0*t**3 + 4 - f*t**3.
4*(t - 1)**2*(t + 1)
Solve -10/7*f**2 + 2/7*f**3 + 2*f - 6/7 = 0.
1, 3
What is y in -4*y**3 - 4348*y + 772*y + 276*y**2 + 4624 - 1017*y - 303*y = 0?
1, 34
Let v(i) = -i**3 + 17*i**2 - i - 6. Let t be v(16). Let g = -234 + t. Let -1/3*h**3 + g + 2/3*h + 1/3*h**2 = 0. Calculate h.
-1, 0, 2
Let x(u) be the third derivative of -u**10/151200 - u**9/30240 - u**8/20160 + 2*u**5/15 - 35*u**2. Let v(k) be the third derivative of x(k). Factor v(y).
-y**2*(y + 1)**2
Let o(i) be the first derivative of -1/8*i**3 + 0*i - 8 - 9/80*i**5 - 3/16*i**4 - 9/2*i**2. Let z(c) be the second derivative of o(c). Factor z(h).
-3*(3*h + 1)**2/4
Let k(l) be the second derivative of l**4/12 - l**3/2 + l**2 + 2*l + 22. Factor k(n).
(n - 2)*(n - 1)
Let a be (-7)/(-14)*8/672. Let o(b) be the third derivative of 0 + 0*b**3 - 1/420*b**5 + 0*b + a*b**4 + 10*b**2. Factor o(u).
-u*(u - 1)/7
Find l, given that -205 - 75 + 4*l**4 - 44*l + 257*l**2 - 77*l**2 - 52*l**3 = 0.
-1, 2, 5, 7
Let v(b) be the first derivative of -b**6/16 + 3*b**4/8 - 71. Factor v(j).
-3*j**3*(j - 2)*(j + 2)/8
Let m(r) = r**2 - 92*r + 671. Let o(x) = -x**2 + 185*x - 1340. Let h(y) = 5*m(y) + 2*o(y). Factor h(w).
3*(w - 15)**2
Let z(h) be the third derivative of -h**8/504 - h**7/315 + h**6/90 + h**5/45 - h**4/36 - h**3/9 - 50*h**2. Factor z(m).
-2*(m - 1)**2*(m + 1)**3/3
Let m(q) be the second derivative of 1/6*q**4 + 1/3*q**3 - q**2 + 0 - 1/10*q**5 - 2*q. Let m(s) = 0. What is s?
-1, 1
Let w(a) = -5*a**4 + 252*a**3 - 259*a**2 - 218*a + 281. Let b(x) = x**4 - 42*x**3 + 43*x**2 + 36*x - 47. Let i(q) = 34*b(q) + 6*w(q). Factor i(t).
4*(t - 1)**2*(t + 1)*(t + 22)
Let r(q) be the third derivative of -q**8/2520 - 2*q**7/1575 + q**6/450 + 2*q**5/225 - q**4/180 - 2*q**3/45 + 123*q**2. Solve r(c) = 0 for c.
-2, -1, 1
Let y(p) = 4*p**4 + 10*p**3 + p**2 + 3*p - 12. Let i(n) = 2*n**4 + 5*n**3 + n**2 + n - 5. Let c(o) = 5*i(o) - 2*y(o). Factor c(g).
(g + 1)**3*(2*g - 1)
Let z(s) be the third derivative of s**8/144 + s**7/105 - 47*s**6/180 + 44*s**5/45 - 43*s**4/24 + 17*s**3/9 + 701*s**2. Factor z(u).
(u - 1)**4*(7*u + 34)/3
Let z(f) be the first derivative of f**7/105 - 7*f**6/180 - f**5/30 + 31*f**3/3 + 11. Let t(h) be the third derivative of z(h). Factor t(g).
2*g*(g - 2)*(4*g + 1)
Let s(g) = 32*g**2 - 2*g - 10. Let o(j) = 62*j**2 - 4*j - 21. Let c(m) = -2*o(m) + 5*s(m). Factor c(f).
2*(2*f - 1)*(9*f + 4)
Let p = 511/20 - 124/5. Let o = 389/4 - 97. Factor p*y + 0 + o*y**2.
y*(y + 3)/4
Suppose -258*n + 10 = -256*n. Let i(w) be the second derivative of -n*w + 1/3*w**3 + 0*w**2 + 1/10*w**5 - 1/3*w**4 + 0. Factor i(c).
2*c*(c - 1)**2
Let y be -34*(-70)/1176 + 14/(-12). Factor -2/7 - 6/7*d**2 - y*d - 2/7*d**3.
-2*(d + 1)**3/7
Let s(v) be the third derivative of 1/15*v**5 + 1/60*v**6 + 0*v**4 - 13 - 2*v**2 + 0*v + 0*v**3. Factor s(r).
2*r**2*(r + 2)
Factor 2437*x**2 + 20*x**3 - 90*x - 2452*x**2 + x**4 + 4*x**4.
5*x*(x - 2)*(x + 3)**2
Let j(w) be the second derivative of 0*w**2 + 0*w**3 - 10*w - 1/336*w**7 - 1/240*w**6 + 1/96*w**4 + 1/160*w**5 + 0. Factor j(q).
-q**2*(q - 1)*(q + 1)**2/8
Let u be 0/((-308)/77*(-2)/((-8)/(-2))). Factor 0*d + 2/7*d**5 + 2/7*d**2 + 6/7*d**4 + u + 6/7*d**3.
2*d**2*(d + 1)**3/7
Suppose -18*t + 1560 = -5*t. Find u such that 3 - 37*u - 8*u - t*u**2 - 7 - 80*u**3 - 1 = 0.
-1, -1/4
Suppose 588/5 - 672/5*l + 87/5*l**2 - 3/5*l**3 = 0. Calculate l.
1, 14
Let z(p) be the first derivative of 5*p**5/4 + 15*p**4/16 - 5*p**3/6 + 198. Suppose z(c) = 0. What is c?
-1, 0, 2/5
Suppose 4*u + 4 = 5*z, -4 = -3*u + 6*u - 4*z. Factor 7*k**3 - 2*k**3 + k**u - 6*k**4.
-5*k**3*(k - 1)
Let r(t) = -12*t + 192. Let a be r(16). Let n(d) be the first derivative of 1/9*d**6 - 4/15*d**5 + 4/9*d**3 - 1/3*d**2 + 5 + 0*d**4 + a*d. Factor n(l).
2*l*(l - 1)**3*(l + 1)/3
Let w be 1*((-12)/(-2) - 1). Solve -2*s**2 - 3*s**w + 3*s**5 - 6*s**3 - 6*s**4 - 3*s**5 + s**5 = 0 for s.
-1, 0
Factor 26/7*z**3 - 16/7 + 4/7*z**2 - 104/7*z.
2*(z - 2)*(z + 2)*(13*z + 2)/7
Let -18/7*u**4 + 290/7*u - 30*u**3 + 52/7 + 334/7*u**2 = 0. What is u?
-13, -1/3, 2
Suppose -14*o = -101*o + 522. Let k(h) be the second derivative of 3/2*h**2 - 3/4*h**3 + 3/40*h**5 + o*h + 0*h**4 + 0. Factor k(r).
3*(r - 1)**2*(r + 2)/2
Determine x so that 32*x**2 + x**4 - 3 + 32*x**3 + 16*x**3 + 23*x**4 + 4*x**5 + 3 = 0.
-2, 0
Let x be 14*(3 + 76/(-28)). Factor -124*q + 20 + 70*q**4 - 360*q**3 + 10*q**x - 56*q + 442*q**2 + 43*q**2.
5*(q - 2)**2*(4*q - 1)**2
Let d be 0/(5/(70/(-28))). Factor -3/2*x**2 + d - 9/4*x - 1/4*x**3.
-x*(x + 3)**2/4
Find z, given that -54/13*z**2 + 12/13 + 34/13*z**3 + 14/13*z - 6/13*z**4 = 0.
-1/3, 1, 2, 3
Let a(j) be the first derivative of j**7/70 - 3*j**6/40 + j**5/8 - 14*j**3/3 - 5. Let d(p) be the third derivative of a(p). Factor d(c).
3*c*(c - 1)*(4*c - 5)
Let u = -573 - -582. Let r(l) be the first derivative of -2/3*l**3 + 2*l**2 - u + 0*l. Determine m, given that r(m) = 0.
0, 2
Suppose -4*u + 4*c + 32 = -u, 8 = -3*u - 4*c. Let x = u - 0. Suppose i**3 - 4*i**3 + 9*i**4 - 8*i**x - 2*i**2 + 2*i**3 = 0. Calculate i.
-1, 0, 2
Let k(i) be the second derivative of -8*i**7/63 - 44*i**6/45 - 41*i**5/60 - 5*i**4/36 + 118*i. Factor k(b).
-b**2*(b + 5)*(4*b + 1)**2/3
Let s(z) be the second derivative of 0*z**3 - 1/50*z**6 + 0*z**2 - 2/25*z**5 + 3/70*z**7 + 0 - 2*z + 1/15*z**4. Find n, given that s(n) = 0.
-1, 0, 2/3
Let z(k) be the first derivative of 240*k**2 - 49/3*k**4 + 32 + 208/3*k + 812/3*k**3. Let z(c) = 0. What is c?
-2/7, 13
Suppose 3*l = -3*p - 3, -4*p - 16 = l - 0*p. Suppose -4 = -2*d, -o + 3*o - 20 = -l*d. Factor o*y - y - 4*y - 4*y**2.
-y*(4*y - 1)
Solve 2/9*y**2 + 20/9 - 22/9*y = 0.
1, 10
Let x be (-9)/(-14) + 4/12*(-39)/91. Let 1/6*z**2 + 1/3 - x*z = 0. What is z?
1, 2
Let t = 1/15100 - -45293/105700. Factor 0*v + 0 + 0*v**2 + 3/7*v**3 + t*v**4.
3*v**3*(v + 1)/7
Suppose 36 = -c - 3*c. Let i = c - -11. Suppose 4*u - i*u + 0*u - 2*u**2 = 0. Calculate u.
0, 1
Let s = -295 + 218. Let n = s - -82. Factor -6/5*m**4 + 3/5*m**3 + 0*m + 0*m**2 + 0 + 3/5*m**n.
3*m**3*(m - 1)**2/5
Factor -6 + 5 - 23 - z + z**2 + 6*z.
(z - 3)*(z + 8)
Let -25*y + 160/3 - 5/6*y**2 = 0. Calculate y.
-32, 2
What is q in -8*q - 30 + 2/3*q**2 = 0?
-3, 15
Let j(s) be the third derivative of -s**8/96 - s**7/630 + 7*s**6/80 + 2*s**5/15 + s**4/36 - 4