tor 28/9*p - 4/9*p**2 + 80/3.
-4*(p - 12)*(p + 5)/9
Let x(b) = -b**3 - 2*b**2 + b + 5. Let w be x(-2). Factor 5*o**3 + 5*o**2 + 116*o - 114*o - 4*o**w - 4*o**3.
-o*(o - 2)*(3*o + 1)
Let d = 25 + -20. Determine m so that -16 - d*m + 6*m - 4*m**2 + 15*m = 0.
2
Factor -1/7*s**2 - 61/7 - 62/7*s.
-(s + 1)*(s + 61)/7
Suppose -26 = -4*t + z, 5*t - 2*z - 41 = -7. Factor f**3 + 4*f**3 - f**5 - t*f**2 - 7*f**4 + 9*f**4.
-f**2*(f - 3)*(f - 1)*(f + 2)
Let d = -68 + 70. Let j be -1 - (-3 + d + 6/(-9)). Factor -4/3*t - 2/3*t**2 + j*t**3 + 0.
2*t*(t - 2)*(t + 1)/3
Suppose 0 = b - 6*b. Let n = -39517 + 434691/11. Factor n*y + 18/11*y**3 - 2*y**2 + b.
2*y*(y - 1)*(9*y - 2)/11
Let y(z) be the second derivative of -z**6/120 - 9*z**5/80 - z**4/8 + 2*z**3/3 + 114*z. Let y(r) = 0. Calculate r.
-8, -2, 0, 1
Suppose 32 = -5*l + 27. Let f be 0/(-4*4*l/(-4)). Factor 2/7*n**5 + 0*n**2 - 2/7*n**4 + 0*n - 4/7*n**3 + f.
2*n**3*(n - 2)*(n + 1)/7
Let o(m) = m + 1. Let w be o(-1). Factor w - 5 + 3 - 4*k**2 - k**3 - 5*k.
-(k + 1)**2*(k + 2)
Let o(u) = -8*u**2 + 16*u + 6 - 41*u**3 - 15 + 24*u**4 - 18*u. Let f(m) = 6*m**4 - 10*m**3 - 2*m**2 - 2. Let n(c) = 18*f(c) - 4*o(c). Factor n(h).
4*h*(h - 1)**2*(3*h + 2)
Let l be 4/118 - 184646/(-28556). Find m such that l*m + 0 - 1/2*m**2 = 0.
0, 13
Let c(g) be the third derivative of 0*g**4 + 9*g**2 - 1/3240*g**6 + 0*g**5 - 1/3*g**3 + 0*g + 0. Let q(j) be the first derivative of c(j). Solve q(v) = 0.
0
Suppose -j + 28 = -2*r + 6, -3*r + j - 31 = 0. Let k = r + 9. Factor 6/7*m**3 + 3/7*m**2 + k + 0*m - 9/7*m**4.
-3*m**2*(m - 1)*(3*m + 1)/7
Let w(t) be the second derivative of 32/3*t**3 + 0 + 8/3*t**4 + 12*t + 0*t**2 + 1/5*t**5. What is n in w(n) = 0?
-4, 0
Let z(i) be the third derivative of -i**8/4200 + i**7/350 - i**6/100 + i**5/75 + i**3/2 - 7*i**2. Let c(q) be the first derivative of z(q). Solve c(k) = 0.
0, 1, 4
Let r(j) be the third derivative of -7/40*j**4 + 1/200*j**6 - 2/5*j**3 + 0 - 9*j**2 - 1/50*j**5 + 0*j. Factor r(f).
3*(f - 4)*(f + 1)**2/5
Suppose 0 = -5*q + 3*t + 34 - 6, -2*q + 12 = -2*t. Suppose q - 2 = l. Suppose 0*r**l + 4*r**5 + 2*r**3 - 2*r**5 - 4*r**3 = 0. Calculate r.
-1, 0, 1
Suppose -3*l - 2*w + 0*w = -4, 9 = 4*l - w. Factor -2 + 342*u**3 + 4*u**2 - 4*u**4 + l*u**2 - 338*u**3 - u - 3*u**5.
-(u - 1)*(u + 1)**3*(3*u - 2)
Let l = -1/73 - 70/219. Let o = l - -2/3. Factor 0 + 5/6*u**2 - o*u.
u*(5*u - 2)/6
Let w(t) be the second derivative of -t**6/30 + t**5/2 - 11*t**4/4 + 22*t**3/3 - 10*t**2 + 165*t. Let w(g) = 0. What is g?
1, 2, 5
Let r(n) be the third derivative of -n**8/1008 - n**7/189 - n**6/90 - n**5/90 - n**4/216 - n**2 - 7*n. Determine q, given that r(q) = 0.
-1, -1/3, 0
Let n(v) be the third derivative of -v**7/735 - 2*v**6/35 + 17*v**5/70 - 13*v**4/42 - v**2 + 425. Solve n(m) = 0.
-26, 0, 1
Let n(z) = -5*z**3 - 18*z**2 - 11*z - 6. Let b(k) = 2*k**2 - k + 1. Let u(o) = -2*b(o) - n(o). Factor u(p).
(p + 1)**2*(5*p + 4)
Let p(q) be the third derivative of -q**5/140 - q**4/4 - 221*q**2. Factor p(o).
-3*o*(o + 14)/7
Let t(g) be the first derivative of -2*g**5/5 + 25*g**4 - 576*g**3 + 5632*g**2 - 16384*g + 639. Factor t(j).
-2*(j - 16)**3*(j - 2)
Factor -2/5*a**2 - 8 + 42/5*a.
-2*(a - 20)*(a - 1)/5
Let t(b) be the second derivative of 0*b**3 + 0 - 8*b**2 - 13*b - 1/5*b**5 + b**4. Factor t(q).
-4*(q - 2)**2*(q + 1)
Let p = -5 + -65. Let g = -68 - p. Solve 0*q - 2/15*q**g + 2/15 = 0 for q.
-1, 1
Let b(j) = 308*j - 6463. Let k be b(21). Suppose 0*l + 2/7*l**k + 0*l**3 + 0*l**2 + 4/7*l**4 + 0 = 0. Calculate l.
-2, 0
Factor 60*x - 5/2*x**2 + 0.
-5*x*(x - 24)/2
Let r(d) be the third derivative of d**5/75 + 8*d**4/5 - 98*d**3/15 + 2*d**2 - 30*d. Factor r(t).
4*(t - 1)*(t + 49)/5
Let a(y) be the second derivative of 0 + 1/90*y**5 + 7/27*y**3 + 1/3*y**2 + 5/54*y**4 - 21*y. Factor a(j).
2*(j + 1)**2*(j + 3)/9
Let v = -53375/96 + 556. Let x(g) be the third derivative of -1/80*g**6 + 0*g**3 - 1/210*g**7 - 1/1344*g**8 - 1/60*g**5 - v*g**4 + 0 - g**2 + 0*g. Factor x(h).
-h*(h + 1)**4/4
Let w(l) = 19*l**3 + 51*l**2 - 25*l - 229. Let o(y) = -y**3 - y**2 + y + 3. Let d(x) = -22*o(x) - 2*w(x). Factor d(u).
-4*(u - 2)*(2*u + 7)**2
Let j = 28 - 13. Suppose -5*n + 5*u - j = 0, 5*n = 2*u - 9 + 3. Suppose 0 + n + 4 + 3*w**3 + 2 - 9*w = 0. What is w?
-2, 1
Factor -17*j + 2 + 17*j + 2 - 4*j**2.
-4*(j - 1)*(j + 1)
Let q(k) be the third derivative of k**8/112 + 3*k**7/35 + k**6/5 - k**5/10 - 9*k**4/8 - 2*k**3 + 25*k**2. Solve q(z) = 0.
-4, -1, 1
Suppose 3 = 6*c - 15. Suppose -3*k + 2*a + 18 = k, c*a = -9. Solve 0*h - 4/13*h**2 + 0 - 6/13*h**k = 0.
-2/3, 0
Let d be 315/210*(-2)/(-9). Let 0*l**3 + d*l**4 - l**2 + 0 - 2/3*l = 0. What is l?
-1, 0, 2
Let n(d) be the first derivative of d**8/560 - d**7/280 + 5*d**3 + 6. Let s(u) be the third derivative of n(u). Factor s(q).
3*q**3*(q - 1)
Let h be (-7)/(-6) - 1 - 10/90. Let s(i) be the first derivative of -1/9*i**2 + h*i**4 + 0*i + 0*i**3 - 2. Factor s(a).
2*a*(a - 1)*(a + 1)/9
Let s be ((-33)/(-22))/((-12)/(-16)). Let w(x) be the first derivative of -4/3*x**3 + s*x**4 + 4/5*x**5 + 0*x - 4*x**2 - 5. Factor w(u).
4*u*(u - 1)*(u + 1)*(u + 2)
Suppose 0 = 3*i - k - 27, i - k + 7 = -6*k. Factor c**4 - 3*c - 3*c**4 + 3*c + i*c**3 - 6*c**2.
-2*c**2*(c - 3)*(c - 1)
Let i(l) be the first derivative of -21 + 2*l**3 - 3/2*l + 7/8*l**2. Determine r, given that i(r) = 0.
-2/3, 3/8
Factor -1/2*l**2 - 23328 + 216*l.
-(l - 216)**2/2
Let d be (-2)/3*4*3. Let a be 1/2 + (-12)/d. Find o, given that 6*o**2 - 2*o**a + 3*o**3 + 6 - 9*o - 4*o**2 = 0.
-2, 1
Let t = 259875/211159 - -1/16243. Factor 18/13 - t*p - 2/13*p**2.
-2*(p - 1)*(p + 9)/13
Let x(z) be the first derivative of 1/48*z**4 - z + 0*z**2 + 1/12*z**3 + 5. Let w(r) be the first derivative of x(r). Determine h so that w(h) = 0.
-2, 0
Let x be 1 + ((-10)/(-18))/(-5)*-47. Factor -44/9*y**3 - 16/9*y + 0 + 10/9*y**4 + x*y**2.
2*y*(y - 2)**2*(5*y - 2)/9
Let j = -4919 + 24596/5. Find u such that -j*u**2 - 9/5 + 6/5*u = 0.
3
Let d = 981/4 - 4829/20. Let 2/5 + 17/5*u**2 - d*u = 0. Calculate u.
2/17, 1
Let o(q) be the second derivative of q**6/195 + 9*q**5/130 - 5*q**4/39 - q - 57. Suppose o(h) = 0. Calculate h.
-10, 0, 1
Let m(r) be the first derivative of -4*r**3/21 + 24*r**2/7 - 20. Find q such that m(q) = 0.
0, 12
Let y(l) be the second derivative of -2*l**6/15 + l**5 + l**4 - 34*l**3/3 + 20*l**2 - 10*l + 1. Factor y(d).
-4*(d - 5)*(d - 1)**2*(d + 2)
Let m = -598 + 602. Let o = -24 + 26. Let 40/9*w**3 - 26/9*w**2 - o*w**m + 4/9*w + 0 = 0. What is w?
0, 2/9, 1
Let k(q) = -3*q**2 + 232*q + 398. Let y be k(79). What is w in 18/19 + 22/19*w**2 - 2*w - 2/19*w**y = 0?
1, 9
Let o = -6/3211 - -70660/9633. Let o*j**2 - 8/3*j**4 + 0 + 2*j + 16/3*j**3 = 0. Calculate j.
-1/2, 0, 3
Let k(j) be the third derivative of j**6/180 + j**5/5 - 13*j**4/12 + 20*j**3/9 + 75*j**2. Factor k(d).
2*(d - 1)**2*(d + 20)/3
Let i(h) be the first derivative of -h**6/40 - h**5/10 - h**4/8 + 19*h**2 - 22. Let w(d) be the second derivative of i(d). Solve w(z) = 0.
-1, 0
Suppose f - 4 = 38. Suppose -3*m + 3*z + 18 = -m, -3*z - f = -4*m. What is r in -15*r**3 - 76*r**2 - m - 71*r + 23*r + 25*r**2 = 0?
-2, -1, -2/5
Let g(v) be the third derivative of -v**5/140 + 19*v**4/56 + 10*v**3/7 - 26*v**2 + 2*v. Determine l so that g(l) = 0.
-1, 20
Let t = -21317/3 - -7107. Factor -t + 2/9*j + 2/9*j**2.
2*(j - 2)*(j + 3)/9
Let g(q) be the second derivative of q**5/4 + 25*q**4/6 + 40*q**3/3 + 21*q. Factor g(l).
5*l*(l + 2)*(l + 8)
Determine v so that -2/5*v**5 + 436/5*v**2 + 454/5*v - 14/5*v**4 + 124/5*v**3 + 154/5 = 0.
-11, -1, 7
Let j(n) be the second derivative of n**4/12 - 5*n**2/2 + 18*n. Let q(t) = -1. Let c = -11 - -7. Let z(m) = c*q(m) + j(m). Factor z(v).
(v - 1)*(v + 1)
Let h = 47 - 44. Suppose 3*z**h - 7 - z + 0 + 16*z + 1 - 12*z**2 = 0. Calculate z.
1, 2
Suppose 6*k - 7*k + 3 = 0. Let r(l) be the first derivative of 0*l + 2*l**2 + 1 - 2/3*l**k. What is z in r(z) = 0?
0, 2
Let x = -205 + 435. Let d be (-6 - x/(-30)) + (-8)/6. Factor -d*m**2 + 8/3*m - 16/3.
-(m - 4)**2/3
Let m(b) be the first derivative of -b**6/24 + b**5/6 + 5*b**4/24 - 5*b**3/3 - 3*b**2 - 4. Let y(d) be the second derivative of m(d). Factor y(h).
-5*(h - 2)*(h - 1)*(h + 1)
Suppose 17 = v + 5*a - 8*a, 5*v = -a + 5. Let q = -954 + 