.
-2*i*(i + 13)*(5*i - 2)/5
Let m(k) = -k**3 - 7*k**2 + 21*k + 162. Let x be m(-6). Let 4/7*o**2 - 2/7*o**4 + 0*o + x*o**3 - 2/7 = 0. Calculate o.
-1, 1
Let x(b) be the first derivative of -b**6/6 - b**5/5 + 3*b**4/4 + 5*b**3/3 + b**2 + 65. Let x(d) = 0. Calculate d.
-1, 0, 2
Let h(r) = 4*r - 4. Let p be h(-6). Let i be 6/45 + p/(-15). Factor -2*k**2 + 10*k - 8 - 11 + 7*k**i + 4.
5*(k - 1)*(k + 3)
Factor 2/9*s**4 + 8/3*s**2 - 160/9*s - 128/3 + 2*s**3.
2*(s - 3)*(s + 4)**3/9
Let h = -743 - -747. Let t(n) be the first derivative of -2 + 0*n + 2/7*n**3 + 2/7*n**2 - 5/14*n**h. Factor t(c).
-2*c*(c - 1)*(5*c + 2)/7
Let o(i) be the first derivative of 24*i**2 - 1/2*i**6 + 0*i**4 + 0*i - 12/5*i**5 + 16*i**3 - 39. Suppose o(k) = 0. Calculate k.
-2, 0, 2
Let a be ((-140)/21 - -6)/(7/(-21)). Let x(i) be the second derivative of -4/13*i**a - 1/78*i**4 + 0 + 5/39*i**3 + 7*i. Factor x(z).
-2*(z - 4)*(z - 1)/13
Let x = -30014/7 + 4289. Let f be 2/70 + 8/20. Determine m so that x*m + 0 + f*m**2 = 0.
-3, 0
Determine z, given that 1/2*z**2 - 10 + 19/2*z = 0.
-20, 1
Let l = 157 - 154. Let c = 5 - 5. Factor w - 4*w**3 + c*w**l - w.
-4*w**3
Let s = 97 + -86. Suppose -s*x = 3*x - 56. Factor 0 + 4*z**3 - 4/3*z**2 + 4/3*z**5 - x*z**4 + 0*z.
4*z**2*(z - 1)**3/3
Let f = -12 - -13. Let p(x) = -12*x**4 + 27*x**3 - 7*x**2 - 3*x - 5. Let s(r) = r**3 - r**2 - r + 1. Let q(c) = f*p(c) + 5*s(c). Factor q(t).
-4*t*(t - 2)*(t - 1)*(3*t + 1)
Suppose -4 = 3*w - 2*l, -199*l = -3*w - 204*l + 10. Suppose -2/5*o + w + 2/5*o**2 = 0. What is o?
0, 1
Let m be ((-140)/(-168) + (51/36 - 2))*0. Suppose -1/5*f**5 - 1/5*f + m + 2/5*f**3 + 0*f**4 + 0*f**2 = 0. Calculate f.
-1, 0, 1
Factor -20/11 - 2/11*z**2 - 14/11*z.
-2*(z + 2)*(z + 5)/11
Let o(m) = -25*m**3 + 189*m**2 - 11*m. Let k = 3 - 1. Let q(y) = 5*y**3 - 38*y**2 + 2*y. Let s(i) = k*o(i) + 11*q(i). Let s(c) = 0. Calculate c.
0, 8
Let x = 0 + 24. Let d = 4890 + -9777/2. Solve -3/2*g**4 + 12*g**2 - 24 - 12*g**3 + d*g**5 + x*g = 0 for g.
-2, 1, 2
Let d(q) = -3*q**2 + 2*q - 1. Let l(b) = -16*b**2 - 5 + 126*b - 117*b + 1. Let o(p) = 33*d(p) - 6*l(p). Determine h so that o(h) = 0.
1, 3
Let z(l) be the second derivative of -l**6/40 - 3*l**5/20 - 3*l**4/8 - l**3/2 - 4*l**2 - 11*l. Let b(n) be the first derivative of z(n). What is s in b(s) = 0?
-1
Let k(w) be the second derivative of 2/147*w**7 - 1/105*w**6 + 0 + w + 2/21*w**3 - 2/35*w**5 + 1/21*w**4 - 1/7*w**2. What is j in k(j) = 0?
-1, 1/2, 1
Let q be (-2)/(-20) - 8/(-100)*5. Factor -1/2 + 0*k**3 + 0*k + k**2 - q*k**4.
-(k - 1)**2*(k + 1)**2/2
Let l(p) be the first derivative of -3*p**5/5 + 6*p**4 + p**3 - 12*p**2 + 23. Determine o so that l(o) = 0.
-1, 0, 1, 8
Let h(g) be the second derivative of g**4/18 - g**3/9 - 4*g**2 - g - 17. Factor h(b).
2*(b - 4)*(b + 3)/3
What is t in 2/3*t**3 + 4/3*t**2 + 0 - 2*t = 0?
-3, 0, 1
Let 14/3*g**3 + 0 - 640/3*g**2 - 184/3*g = 0. What is g?
-2/7, 0, 46
Suppose 68/9*p + 16/3*p**2 - 40/3 + 4/9*p**3 = 0. What is p?
-10, -3, 1
Suppose 2*u = 4*d - 16, 4*u + 17 = 4*d + d. Factor 2*r**2 - 2*r**3 + r**2 - 3*r**2 - 2*r**2 + 2*r + u*r**4.
2*r*(r - 1)**2*(r + 1)
Let i(l) be the second derivative of 2*l**7/21 - 4*l**6/15 - 2*l**5/5 + 8*l**4/3 - 14*l**3/3 + 4*l**2 - 130*l. Find w such that i(w) = 0.
-2, 1
Let d be 22/(-770)*14 - 22/(-5). Factor -1/3*c**2 - 11/3 - d*c.
-(c + 1)*(c + 11)/3
Let k(h) be the second derivative of h**10/7560 - h**9/1260 + h**8/840 - 4*h**4/3 + 30*h. Let i(l) be the third derivative of k(l). Factor i(t).
4*t**3*(t - 2)*(t - 1)
Factor 26/9*b**2 - 8/9*b**3 - 2*b + 0.
-2*b*(b - 1)*(4*b - 9)/9
Let b(p) be the second derivative of 2*p + 1/2*p**4 + 0*p**3 - 1/10*p**5 - 4*p**2 + 0. Factor b(r).
-2*(r - 2)**2*(r + 1)
Let y(h) be the second derivative of h**7/84 - h**6/20 - 3*h**5/40 + 11*h**4/24 - h**3/2 + 1033*h. Determine i, given that y(i) = 0.
-2, 0, 1, 3
Let f be (280/(-42))/((-1)/3). Suppose 5*r - f = -0. Determine m, given that 2*m - 4*m**2 + 0 + 2*m**2 - 4*m**2 + r = 0.
-2/3, 1
Let m(w) be the second derivative of -w**7/5040 - w**6/360 - 29*w**4/12 - 26*w. Let x(s) be the third derivative of m(s). Factor x(t).
-t*(t + 4)/2
Let c(p) be the second derivative of p**5/5 + 11*p**4/4 + 15*p**3/2 - 27*p**2 + 11*p + 16. Factor c(d).
(d + 3)*(d + 6)*(4*d - 3)
Let o(j) be the second derivative of -5*j**4/12 + 340*j**3/3 + 685*j**2/2 - 480*j. Determine u so that o(u) = 0.
-1, 137
Suppose 0 = -2*n + 4*c + 34, n - c = 4*c + 23. Let u = n + -8. Find m, given that -m**2 + 26*m**5 - 23*m**u - 5*m**2 + 6*m**4 - 3*m = 0.
-1, 0, 1
Let r(m) be the first derivative of -9*m**4/4 - 52*m**3 + 279*m**2/2 - 114*m + 138. Suppose r(p) = 0. Calculate p.
-19, 2/3, 1
Let 0 + 3/8*f + 0*f**2 - 3/8*f**3 = 0. What is f?
-1, 0, 1
Let n(d) be the first derivative of -4*d**3/3 + 772*d**2 - 148996*d + 466. Solve n(k) = 0 for k.
193
Let n(j) = 6*j + 8*j + 410*j**2 + 18 - 411*j**2. Let c be n(15). Solve -6*w**2 + 2*w**4 - 5*w**c + 4*w + 7*w**3 - 2*w**3 = 0.
-2, 0, 1
Suppose 36*t + 0*t = -20*t. Let d = 55/21 + -16/7. Find p, given that t + d*p - p**2 - 4/3*p**3 = 0.
-1, 0, 1/4
Let j be 5*(-9)/(180/32). Let g be (2/44)/(j/(-32)). Determine n, given that -2/11*n**2 + g + 0*n = 0.
-1, 1
Let g = -35 - -35. Suppose 15 = 3*f - 3*d, f - 4*d + 7*d + 15 = g. Suppose -8/5*s**5 - 4/5*s**3 + 12/5*s**4 + 0 + 0*s**2 + f*s = 0. Calculate s.
0, 1/2, 1
Let j(i) be the first derivative of -i**4 + 4*i**3/3 + 2*i**2 - 4*i - 46. Factor j(x).
-4*(x - 1)**2*(x + 1)
Let j = -26 + 31. Suppose 24 + 4*s - 41 - j*s**2 + 25 + s**2 = 0. What is s?
-1, 2
Factor -3/4*b**4 + 0 - 1/4*b**5 + 0*b + 0*b**2 - 1/2*b**3.
-b**3*(b + 1)*(b + 2)/4
Let u(r) be the first derivative of r**4/12 + 11*r**3/9 + 35*r**2/6 + 25*r/3 - 161. Determine l, given that u(l) = 0.
-5, -1
Let l be 12/432 + (-2)/(-9). Let y = -268 - -1075/4. Factor l*z**4 - 1 + y*z**2 - z**3 + z.
(z - 2)**2*(z - 1)*(z + 1)/4
Determine m, given that 23/2*m - 25 + 1/2*m**2 = 0.
-25, 2
Let a(f) be the first derivative of 4 + 0*f**3 + 0*f + 3/8*f**4 + 0*f**2 + 3/20*f**5. Factor a(y).
3*y**3*(y + 2)/4
Determine f, given that 21*f**3 + 58 - 34 + 6*f - 27*f**2 - 27*f + 3*f**4 = 0.
-8, -1, 1
Let d = -1/222 + 893/1110. Factor 1/5*p**4 - p**3 + 3/5*p**2 - d + p.
(p - 4)*(p - 1)**2*(p + 1)/5
Let f(c) be the third derivative of 2*c**3 + 3/8*c**4 + 19*c**2 - 1/20*c**5 + 0*c + 0. Factor f(k).
-3*(k - 4)*(k + 1)
Suppose 0 = 3*v + 1 - 7. Let n(g) = g**2 + 4*g + 4. Let z be n(-3). What is y in z + y**v - 6*y**2 + 4*y**2 = 0?
-1, 1
Let o(g) be the first derivative of g**3/9 + 49*g**2/3 + 2401*g/3 - 22. Factor o(w).
(w + 49)**2/3
Suppose -5*s + z + 162 = -s, -5*z + 30 = s. Solve 45*m + s*m**2 - 15 + 31 - 11 = 0.
-1, -1/8
Let i be 1/13 - (-294)/234. Factor -i*j + 2/3*j**2 + 0 + 2/3*j**3.
2*j*(j - 1)*(j + 2)/3
Let s(r) be the first derivative of r**5/480 - 5*r**4/192 + r**3/8 - 23*r**2/2 + 33. Let a(b) be the second derivative of s(b). Let a(g) = 0. Calculate g.
2, 3
Let u(o) = -3*o**2 - 33*o - 30. Let c(f) = f**2 + 11*f + 10. Let h(l) = 11*c(l) + 4*u(l). Find y such that h(y) = 0.
-10, -1
Let b(p) be the third derivative of p**8/840 - 2*p**7/105 + 17*p**6/150 - 6*p**5/25 - 9*p**4/20 + 18*p**3/5 - 264*p**2. Factor b(y).
2*(y - 3)**3*(y - 2)*(y + 1)/5
Let k(b) be the third derivative of 0 + 6*b**3 - 1/4*b**4 + 0*b + 1/160*b**6 - 1/16*b**5 + 22*b**2. Suppose k(u) = 0. What is u?
-3, 4
Solve 74/15 - 2/15*n**2 - 24/5*n = 0.
-37, 1
Let p(j) be the second derivative of j**6/165 - j**5/110 - j**4/132 + j**2 - 23*j. Let l(y) be the first derivative of p(y). Factor l(h).
2*h*(h - 1)*(4*h + 1)/11
Let j(a) = 3*a**3 - 5*a**2 - 10*a. Let h(p) = 2*p**3 + 2*p**2 - p. Let c(s) = 2*h(s) - j(s). Let c(m) = 0. Calculate m.
-8, -1, 0
Let b(n) = 2*n**4 + 6*n**3 - 6*n**2 + 6*n. Let q(y) = y**4 + 6*y**3 - 6*y**2 + 5*y. Let m(i) = -3*b(i) + 4*q(i). Determine j, given that m(j) = 0.
0, 1
Let l(h) be the first derivative of -2*h**6/5 - 2352*h**5/25 - 154443*h**4/20 - 229879*h**3 - 666705*h**2/2 - 164775*h + 610. Factor l(i).
-3*(i + 65)**3*(2*i + 1)**2/5
Let a(p) be the second derivative of -p**5/100 + p**4/30 - 247*p. Find i, given that a(i) = 0.
0, 2
Let m(q) be the third derivative of 5*q**8/336 - q**6/12 + 5*q**4/24 - 52*q**2. Factor m(g).
5*g*(g - 1)**2*(g + 1)**2
Suppose -24*d - 8 - 3 + 11 = 0. 