 = 0.
-3, -1
Suppose -71 = -2*p - 2*o - 73, 4*p - 3*o = 17. Solve -12/5*d + 6/5*d**p + 0 = 0.
0, 2
What is t in 2/11*t**3 + 24/11*t**2 - 26/11*t + 0 = 0?
-13, 0, 1
Let r = -13309 - -66547/5. Factor -r*j**2 + 2/5*j + 0 + 2/5*j**4 - 2/5*j**3.
2*j*(j - 1)**2*(j + 1)/5
Let t(s) be the third derivative of s**7/70 - 3*s**6/40 - s**5/5 + s**2 - 30. Factor t(i).
3*i**2*(i - 4)*(i + 1)
Let g be 112 + (-4)/(-40)*4*-1. Let s = 112 - g. Factor -s*h**3 - 18/5 - 14/5*h**2 - 6*h.
-2*(h + 1)*(h + 3)**2/5
Let h be (24/(-16))/(6/16). Let n(c) = -c**2 - 3*c + 7. Let s be n(h). Factor 2*j**3 + 0*j**3 + 8*j**2 + 0*j**s + 4 + 10*j.
2*(j + 1)**2*(j + 2)
Let h(k) be the third derivative of 0*k + 0*k**3 - 2*k**2 + 1/10*k**5 - 1/60*k**6 + 0 + 0*k**4. Factor h(s).
-2*s**2*(s - 3)
Find i such that -258*i**2 + 5*i**3 + 243*i**2 + 2*i**4 - 15*i**3 + 3*i**4 = 0.
-1, 0, 3
Let y(a) be the first derivative of 2*a**3/3 - 39*a**2 + 76*a + 93. Determine d so that y(d) = 0.
1, 38
Let u(k) be the first derivative of -k**6/12 + 9*k**5/5 + 19*k**4/8 - 58. Determine x, given that u(x) = 0.
-1, 0, 19
Let t(o) be the third derivative of 1/2688*o**8 - 1/960*o**6 + 0*o**4 + 26*o**2 + 1/480*o**5 + 0*o**3 + 0*o + 0 - 1/1680*o**7. Factor t(f).
f**2*(f - 1)**2*(f + 1)/8
Let g(h) be the second derivative of -5*h**4/12 - 270*h**3 - 65610*h**2 + 2*h - 141. Factor g(v).
-5*(v + 162)**2
Let s(p) be the first derivative of 0*p**3 - 13 + 0*p + 0*p**2 + 1/24*p**4 - 1/30*p**5. Factor s(u).
-u**3*(u - 1)/6
Let o(p) = 5*p**3 - 2*p**2 + p. Let h be o(1). Let i = 358 + -350. Factor i*q**3 + 2*q**2 - h*q**2 - 4*q**4 - 3*q**2 + q**2.
-4*q**2*(q - 1)**2
Let c = -16 - -18. Let o(s) = 2*s**2 + 16*s + 19. Let z(v) = -v**2 - 8*v - 9. Let w(i) = c*o(i) + 5*z(i). Factor w(g).
-(g + 1)*(g + 7)
Suppose -2*g + 2 = 4*d, 0 = -d + 1 - 0. Let h(w) = -3*w - 1. Let l be h(g). Let 7*b**2 - 8*b**2 + 50*b**3 - 31*b - b - 9*b**l - 8 = 0. What is b?
-2/5, 1
Let w(f) be the first derivative of f**4/4 - f**3/7 - 28. What is s in w(s) = 0?
0, 3/7
Let d(o) be the first derivative of 5*o**3/3 - 40*o**2 - 85*o + 227. Factor d(h).
5*(h - 17)*(h + 1)
Let d(u) be the third derivative of -u**7/420 + u**6/60 + 7*u**5/40 - 13*u**4/6 + 20*u**3/3 + 22*u**2 + 3. Factor d(b).
-(b - 4)**2*(b - 1)*(b + 5)/2
Suppose 25 = 9*w - 2. Let a(h) be the first derivative of 8*h - 1 - 4*h**2 + 2/3*h**w. Factor a(i).
2*(i - 2)**2
Let x(i) be the second derivative of i**4/48 + 17*i**3/24 + 2*i**2 - 26*i. Factor x(j).
(j + 1)*(j + 16)/4
Solve -4*d**2 - 4*d - 1 - 140*d**3 + 144*d**3 + 4 + 1 = 0.
-1, 1
Let n(s) = -s**2 + 22*s + 43. Let w(j) = -12*j - 22. Let p(z) = -4*n(z) - 10*w(z). Solve p(t) = 0.
-6, -2
Let p(f) be the first derivative of -3*f**3 + 11*f**2/2 + 20*f + 4. Let w(u) = -2*u**2 + 2*u + 4. Let b(i) = 2*p(i) - 11*w(i). Solve b(z) = 0.
-1, 1
Suppose -2*y - 4*d + 189 = y, -3*y - 2*d + 195 = 0. Let c = y + -46. What is l in 2*l**3 - 3*l + l**3 + c*l**2 - 21*l**2 = 0?
-1, 0, 1
Let k(t) = 3*t**2 + 15*t - 196. Let i be k(-11). Suppose 50/3*h + 5/6*h**3 - 20/3*h**i - 40/3 = 0. Calculate h.
2, 4
Let w(t) be the first derivative of 6 + 4/5*t + 9/5*t**2 + 14/15*t**3. Suppose w(p) = 0. Calculate p.
-1, -2/7
Solve 2/5*k**2 + 26 - 132/5*k = 0.
1, 65
Let i(a) = -5*a**2 + 45*a + 60. Let h be ((-2)/6)/((-14)/(-126)). Let r(n) = 2*n**2 - 15*n - 20. Let y(z) = h*i(z) - 10*r(z). Factor y(b).
-5*(b - 4)*(b + 1)
Let a(w) = -5*w**2 - 753*w. Let z(m) = -20*m**2 - 3005*m. Let o(y) = 15*a(y) - 4*z(y). Solve o(r) = 0 for r.
-145, 0
Let m(w) be the first derivative of w**8/9240 - w**6/1980 + w**3/3 + 13. Let j(y) be the third derivative of m(y). Solve j(q) = 0.
-1, 0, 1
Let x = -10 - -12. Let p be 6/27*-12 + (16 - 13). Factor p*c**5 + 0*c - 4/3*c**x - 5/3*c**4 + 8/3*c**3 + 0.
c**2*(c - 2)**2*(c - 1)/3
Let z(n) = n**3 + 2*n**2 - 10*n. Let s be z(-4). Let f be (5 - 39/s)*12. Suppose -1/2 + 1/2*y**3 + f*y - 3/2*y**2 = 0. Calculate y.
1
Let f(l) be the second derivative of -4*l - 18*l**2 + 2*l**3 + 3/20*l**5 + 0 + 7/4*l**4. Factor f(w).
3*(w - 1)*(w + 2)*(w + 6)
Suppose 10*v = 3*n + 33, v + 5*n - 5 + 7 = 0. Factor 1/2*a**4 + 0 + 1/4*a**5 - 1/2*a**2 + 0*a**v - 1/4*a.
a*(a - 1)*(a + 1)**3/4
Factor -b - 1/2*b**3 + 0 + 3/2*b**2.
-b*(b - 2)*(b - 1)/2
Let o(j) be the third derivative of -j**6/40 + j**5/2 + 25*j**2 + 2*j. Determine b, given that o(b) = 0.
0, 10
Let m(q) be the third derivative of -q**5/630 - q**4/126 + 5*q**3/21 - 6*q**2 + 2*q. Factor m(b).
-2*(b - 3)*(b + 5)/21
Let s(y) be the second derivative of y**6/480 - y**5/60 + y**4/24 - y**2/2 + 3*y. Let m(a) be the first derivative of s(a). Factor m(j).
j*(j - 2)**2/4
Find n, given that 34690*n - 12 - 34712*n + 222*n**2 + 23*n**4 - 89*n**4 - 122*n**3 = 0.
-3, -2/11, 1/3, 1
Factor 41*p**3 - 41*p**3 + 15*p**3 + 9*p + 3*p**4 + 21*p**2.
3*p*(p + 1)**2*(p + 3)
Suppose 7*z = 9*z - 8. Suppose r = -y + 6, 0 = -3*r - y + 6*y - 6. Factor 36*w**z - 21*w**4 - 18*w**4 + r*w**2.
-3*w**2*(w - 1)*(w + 1)
Let l(c) = 4*c**4 + 20*c**3 + 52*c**2 - 4*c - 64. Let k(q) = -q**3 + q + 1. Let d(b) = 8*k(b) - l(b). Suppose d(r) = 0. Calculate r.
-3, -2, 1
Let x(n) be the first derivative of 3*n**5/20 + n**4 + 5*n**3/2 + 3*n**2 - 12*n - 4. Let t(s) be the first derivative of x(s). Find j such that t(j) = 0.
-2, -1
Suppose -4/5*z**4 - 324/5*z + 432/5 + 36/5*z**2 + 4*z**3 = 0. What is z?
-4, 3
Let t(n) be the first derivative of 2*n**3/15 - 56*n**2/5 + 1568*n/5 + 102. Factor t(i).
2*(i - 28)**2/5
Let w(t) be the first derivative of t**6/6 - 7*t**5/5 - t**4/4 + 7*t**3/3 - 15. Factor w(x).
x**2*(x - 7)*(x - 1)*(x + 1)
Let -55*p**4 + 85*p**4 - 1 + 75*p - 90*p**2 - 9 - 5*p**3 = 0. Calculate p.
-2, 1/6, 1
Let j(i) be the third derivative of -i**6/24 + 11*i**5/72 + 35*i**4/144 - 25*i**3/18 - 13*i**2 + 3. What is p in j(p) = 0?
-1, 5/6, 2
Let j(d) be the second derivative of -2*d**7/105 + 8*d**6/75 - 4*d**5/25 - 57*d. Factor j(n).
-4*n**3*(n - 2)**2/5
Let r be ((-4)/38)/((70/1862)/5*-7). Factor -9/4*w**3 + 0*w + 1/2*w**r + 0 + 7/4*w**4.
w**2*(w - 1)*(7*w - 2)/4
Let t(z) be the second derivative of 3*z**5/55 + 7*z**4/66 - 4*z**3/33 - 5*z**2/11 - 2*z + 3. Factor t(f).
2*(f + 1)**2*(6*f - 5)/11
Factor 25/3 + 0*b - 1/3*b**2.
-(b - 5)*(b + 5)/3
Let t = 88963/5052 + -11/421. Let d = t + -52/3. Solve -3/4*o**5 + d*o**4 - 3/4*o - 1/2*o**2 + 1/4 + 3/2*o**3 = 0.
-1, 1/3, 1
Let k be 10/(-16)*(-3 - 1115/(-375)). Let v(t) be the second derivative of -1/6*t**4 - 1/10*t**5 + 5*t + 0*t**3 - k*t**6 + 0 + 0*t**2. Solve v(c) = 0.
-2, 0
Determine z, given that -27/4*z**2 + 1/4*z**4 - 7 + 13*z + 1/2*z**3 = 0.
-7, 1, 2
Let n(j) = 5*j**5 + 29*j**4 + 64*j**3 - 79*j**2 - 141*j. Let f(m) = -2*m**5 - 10*m**4 - 22*m**3 + 26*m**2 + 48*m. Let t(c) = -11*f(c) - 4*n(c). Factor t(g).
2*g*(g - 3)**2*(g + 1)*(g + 2)
Let f(u) be the third derivative of u**6/720 - 7*u**5/360 - 5*u**4/144 + 25*u**3/12 - 46*u**2. Determine h, given that f(h) = 0.
-3, 5
Let m(i) be the first derivative of 0*i**2 - 2/11*i + 2/33*i**3 - 15. Factor m(f).
2*(f - 1)*(f + 1)/11
Let j(k) be the second derivative of 14*k**6/45 - 17*k**5/30 - 83*k**4/18 + 20*k**3/9 + 4*k**2 + 9*k + 23. What is l in j(l) = 0?
-2, -2/7, 1/2, 3
Suppose 100022*b - 100013*b - 36 = 0. Factor -1/5*d**b + 3/5*d**2 + 0 - 2/5*d + 0*d**3.
-d*(d - 1)**2*(d + 2)/5
Let g = 195 + -205. Let h be (-55)/g + (2 - 7). Factor 1/2*i**2 - i + h.
(i - 1)**2/2
Solve 90*x**2 + 42*x + 52*x - 180*x + 1025 - 5*x**3 - 385 - 394*x = 0.
2, 8
Let x = 7 - 3. Suppose 2*c - n + x = 0, -4*c + 0*c - n + 4 = 0. Factor -16/3 - 1/3*p**4 + 8/3*p**2 + c*p + 0*p**3.
-(p - 2)**2*(p + 2)**2/3
Suppose -2*h = 3*s - 46, h - 31 = s - 3*s. Let l = 16 - s. Solve 6/5*d**4 + 0*d + 3/5*d**3 + 0 + l*d**2 + 3/5*d**5 = 0 for d.
-1, 0
Let y be 4*((-266)/372 + 1). Let a = y + 6/31. Factor 1/3*z**2 - 5/3*z**3 + a*z**4 + 0 + 0*z.
z**2*(z - 1)*(4*z - 1)/3
Let o(i) = -8*i**2 - 24*i - 6. Let r(m) = -17*m**2 - 50*m - 13. Let f(g) = 13*o(g) - 6*r(g). Factor f(u).
-2*u*(u + 6)
Let j be 98/196 + 4/(-10). Let b(x) be the second derivative of j*x**5 + 0*x**2 + 4/3*x**3 + 0 + 8*x + 2/3*x**4. Factor b(p).
2*p*(p + 2)**2
Let p(f) be the second derivative of 5*f**4/6 - f**3 - 2*f**2 - 4*f. Factor p(n).
2*(n - 1)*(5*n + 2)
Let -2/11*c**3 + 882/11 - 798/11*c - 82/11*c**2 = 0. What is c?
-21, 1
Let n(f) be the third