3 - 7*t**5 - 63*t**4 - 27*t**4 = 0.
0, 5, 8
Let s(t) be the first derivative of t**4/2 + 310*t**3/3 + 296. Factor s(k).
2*k**2*(k + 155)
Factor -89/5*o**2 - 116/5*o + 96/5 - 7/10*o**3.
-(o + 2)*(o + 24)*(7*o - 4)/10
Factor 453/7*y - 33*y**2 + 3/7*y**3 - 225/7.
3*(y - 75)*(y - 1)**2/7
Let a(y) = -18*y - 773. Let m be a(-43). Let k be ((-34)/119)/(m/(-2)). Factor -6/7 - k*t + 2/7*t**2.
2*(t - 3)*(t + 1)/7
Suppose 191*v = 188*v + 2*o - 21, v - 41*o + 612 = 0. Solve 0 + v*p - 1/2*p**2 + 1/2*p**4 - 3*p**3 = 0.
-1, 0, 1, 6
Let k(y) be the third derivative of y**5/20 + 157*y**4/8 + 2*y**2 - 95*y. Factor k(s).
3*s*(s + 157)
Suppose -10*q + 12*q = -5*j + 25, -3*j = 5*q - 34. Solve -78 - d**2 + 150 - 68*d - j*d**2 = 0.
-18, 1
Factor -46*p**3 + 300*p**2 + 30*p**3 - 32*p**3 - 40*p**3 - 4*p**4.
-4*p**2*(p - 3)*(p + 25)
Let r be (45/36*-4)/((-2)/2). Suppose 10*x**2 - 20*x**3 + 3*x**5 - 139*x**4 - 8*x**r + 119*x**4 + 25*x + 10 = 0. What is x?
-2, -1, 1
Let w(v) = -v**4 - 2*v**2 + v - 1. Let z(p) = 4*p**4 + 72*p**3 - 292*p**2 - 296*p + 1304. Let x(s) = -8*w(s) - z(s). What is k in x(k) = 0?
-2, 2, 9
Let x(t) = t**3 + 6*t**2 - 2*t - 10. Suppose -1 = -2*d + 1, 0 = -4*m + 2*d - 26. Let i be x(m). Find y, given that 51*y - 36*y + 5*y**i + 12 - 2*y**2 = 0.
-4, -1
Let n(b) be the first derivative of 7*b**6/54 - 6*b**5/5 - 43*b**4/18 + 4*b**3/3 + 79*b**2/18 + 2*b + 1900. Determine o, given that n(o) = 0.
-1, -2/7, 1, 9
Let k be (2 - 6)/(-1 + -1). Suppose 5*b - 5 - 25 = 0. Suppose -3*o**k + 12 + 9*o + 3*o**4 - 6*o**3 - b*o**2 + 3*o = 0. Calculate o.
-1, 2
Let j = -50 + -4. Let f be (-266)/j + 4/54. Factor 6/7*o**3 - 3/7*o + 3/7*o**4 + 3/7 - 3/7*o**f - 6/7*o**2.
-3*(o - 1)**3*(o + 1)**2/7
Suppose 0 = -3*x + 2*w + 107, x + 5*w = 5*x - 152. What is n in 34*n**2 - 4*n**2 - 31*n**3 + x*n**3 + 4*n + 24*n = 0?
-14, -1, 0
Suppose -5*b - 4*b - 5*b = -28. Let j(i) be the second derivative of 8*i**b - 2/3*i**4 + 0*i**3 + 0*i**5 + 1/30*i**6 + 0 + 23*i. Let j(u) = 0. What is u?
-2, 2
Let c(f) be the second derivative of -f**5/20 + 25*f**4/12 - 47*f**3/6 + 23*f**2/2 - 669*f - 1. Suppose c(d) = 0. Calculate d.
1, 23
Let m(v) be the first derivative of v**3/12 - 47*v**2/8 + 123*v/2 + 2744. Factor m(r).
(r - 41)*(r - 6)/4
Let o(k) = -13*k**3 + 1934*k**2 + 3911*k + 1960. Let u(d) = -11*d**3 + 1938*d**2 + 3912*d + 1960. Let x(g) = -3*o(g) + 4*u(g). Suppose x(p) = 0. What is p?
-1, 392
Let r(s) be the first derivative of s**6/96 + s**5/60 - 19*s**4/96 - 3*s**3/4 - 68*s**2 + 187. Let u(k) be the second derivative of r(k). Solve u(y) = 0.
-9/5, -1, 2
Suppose 430336/11 - 687/11*i**2 - 32800/11*i + 1/11*i**4 + 50/11*i**3 = 0. What is i?
-41, 16
Let z = 304/3 - 101. Let u(o) be the third derivative of 0 - z*o**4 + 5*o**2 + 1/30*o**5 + 0*o + o**3. Factor u(q).
2*(q - 3)*(q - 1)
Let h(k) be the second derivative of 11*k**6/6 + 71*k**5/2 + 1085*k**4/12 - 445*k**3/3 - 660*k**2 - 4022*k + 2. Solve h(t) = 0.
-11, -2, -1, 12/11
Let p(u) be the second derivative of -5/6*u**3 + 0*u**4 + 0 + 0*u**2 - 103*u + 1/4*u**5. Determine f, given that p(f) = 0.
-1, 0, 1
Suppose 133 + 167 = 41*u + 177. What is i in -6/5*i**2 - 2/5*i**u + 2/5*i + 6/5 = 0?
-3, -1, 1
Let b(k) be the third derivative of -k**8/504 - 19*k**7/105 - 133*k**6/90 - 154*k**5/45 + 6*k**4 + 416*k**3/9 + 10*k**2 + 20. Suppose b(w) = 0. Calculate w.
-52, -2, 1
Let g(p) be the first derivative of 15 + 0*p - 1/40*p**5 + p**3 - 39/2*p**2 + 3/16*p**4. Let u(k) be the second derivative of g(k). Factor u(s).
-3*(s - 4)*(s + 1)/2
Let l(k) = -2*k**3 + 8*k**2 - 4*k - 14. Let m(h) = -h**3 + h**2 - 2. Suppose i = 31 - 28. Let c(z) = i*l(z) - 3*m(z). Factor c(w).
-3*(w - 6)*(w - 2)*(w + 1)
Suppose -2*m + 14 = 2*n, -82*n = -2*m - 79*n + 34. Let c(l) be the second derivative of 0 - m*l - 9/4*l**4 + 12*l**3 - 24*l**2 + 3/20*l**5. Factor c(t).
3*(t - 4)**2*(t - 1)
Suppose 0 = -363*d + 2456 - 1004. Solve 5/4*p**d - 10*p + 15/4*p**3 - 15/2*p**2 + 0 = 0.
-4, -1, 0, 2
Let h(r) be the first derivative of r**3/15 + 178*r**2/5 + 31684*r/5 - 1373. Let h(s) = 0. What is s?
-178
Let g = -1341 + 1329. Let l be (g/26)/3*(-78)/6. Solve 3/7*a - 3/7*a**l + 36/7 = 0 for a.
-3, 4
Let g(x) be the second derivative of x**4/12 - 139*x**3/6 - 213*x**2 - 1134*x. Determine v, given that g(v) = 0.
-3, 142
Let u(k) be the third derivative of k**6/1440 + k**5/120 - 5*k**4/96 + 25*k**3/3 + 11*k**2 - 2. Let l(g) be the first derivative of u(g). Factor l(o).
(o - 1)*(o + 5)/4
Let k = -211 - -287. Let d be (-2 - k/(-18))*72/180. Factor -4/9*j**3 - 4/9*j - d*j**2 + 0.
-4*j*(j + 1)**2/9
Let u(d) be the second derivative of d**5/60 - d**4/12 - 4*d**3 + 54*d**2 - 542*d. Factor u(a).
(a - 6)**2*(a + 9)/3
Suppose 0 = 161*i - 173 - 241 + 92. Factor -4 + 2/7*t**3 - 32/7*t**i + 58/7*t.
2*(t - 14)*(t - 1)**2/7
Let o(n) be the first derivative of -507*n**6/5 - 15522*n**5/25 - 11431*n**4/10 - 2270*n**3/3 - 496*n**2/5 - 24*n/5 + 1955. Solve o(b) = 0.
-3, -1, -2/39
Let a = 300 + 70. Let u = 374 - a. Factor 2/3*z**2 - 10/3*z + u.
2*(z - 3)*(z - 2)/3
Suppose 0 = -41*l + 407 - 187 - 97. Factor 9/8*w**2 - 3/8*w**l + 15/4*w + 0.
-3*w*(w - 5)*(w + 2)/8
Let l(n) be the first derivative of -2*n**6/45 - 17*n**5/45 - n**4/3 + 10*n**3/27 + 88*n + 124. Let c(v) be the first derivative of l(v). Solve c(s) = 0 for s.
-5, -1, 0, 1/3
Let s(o) = -3*o**4 + 31*o**3 - 49*o**2 + 3*o + 4. Let n(y) = y**4 - y**3 - y**2 + 3*y + 4. Let u(d) = n(d) - s(d). Factor u(f).
4*f**2*(f - 6)*(f - 2)
Find r, given that -2*r**5 - 12*r**2 - 5*r**3 + 2055 - 2055 + 3*r**3 + 8*r**4 = 0.
-1, 0, 2, 3
Let r(f) be the second derivative of 1/5*f**5 - 25/24*f**4 - 1/2*f**2 + 102 + 19/12*f**3 - 2*f. Factor r(g).
(g - 2)*(g - 1)*(8*g - 1)/2
Let r(q) be the third derivative of -q**8/224 + 11*q**7/140 + 13*q**6/80 - 11*q**5/40 - 3*q**4/4 + 3*q**2 + 672. Determine k, given that r(k) = 0.
-1, 0, 1, 12
Suppose 114/5*r**2 - 72/5*r + 0 - 26/5*r**4 - 2/5*r**5 - 14/5*r**3 = 0. Calculate r.
-12, -3, 0, 1
Let b(u) be the first derivative of -5*u**4/28 - 8*u**3/3 + 7*u**2/2 + 12*u/7 + 225. Factor b(w).
-(w - 1)*(w + 12)*(5*w + 1)/7
Let l(y) be the first derivative of 2*y**5/35 - 9*y**4/14 - 20*y**3/21 - 802. Factor l(u).
2*u**2*(u - 10)*(u + 1)/7
Let i(n) be the second derivative of n**5/60 - 575*n**4/36 - 1153*n**3/18 - 577*n**2/6 + 6799*n. Determine r, given that i(r) = 0.
-1, 577
Factor -1276/3*f + 407044/3 + 1/3*f**2.
(f - 638)**2/3
Let z(g) = -959*g + 198513. Let m be z(207). Factor m*v**3 + 0 + 6/5*v**4 - 32/5*v**2 + 0*v - 1/5*v**5.
-v**2*(v - 4)**2*(v + 2)/5
Solve 2072*n**3 - 854*n**3 - 35*n**5 + 60*n + 320*n**2 - 793*n**3 + 130*n**4 = 0 for n.
-1, -2/7, 0, 6
Factor 144 - 2073*h + 6306*h - 2060*h + 8*h**2 - 2089*h + 2*h**2.
2*(h + 6)*(5*h + 12)
Let k be (2/(-14) + 1)/(315/735). Let v(h) be the third derivative of -12*h**k + 0*h**3 + 1/1020*h**6 + 0 + 0*h**4 + 0*h - 1/510*h**5. Let v(i) = 0. What is i?
0, 1
Let b(c) = -2*c**2 - 13*c. Let g(n) = -n**3 - 13*n**2 - 26*n - 36. Let o be g(-11). Let x(v) = -5*v**2 - 39*v. Let f(s) = o*b(s) - 3*x(s). Factor f(p).
-p*(p - 13)
Let j(k) be the second derivative of k**6/6 + 5*k**5/4 - 10*k**4/3 - 10*k**3 + 1569*k. Factor j(n).
5*n*(n - 2)*(n + 1)*(n + 6)
Suppose -4 = -3*m + 2*o, 0 = 4*m - 5*o + o - 8. Suppose -k + 4*k + 21 = 3*i, 2*i + 3*k + 1 = m. Factor 0 + 1/6*p**i - p**2 + 1/6*p**3 + 0*p.
p**2*(p - 2)*(p + 3)/6
Let d(h) be the first derivative of -h**4/7 + 92*h**3/21 - 268*h**2/7 + 64*h - 4988. Factor d(k).
-4*(k - 14)*(k - 8)*(k - 1)/7
Let f(r) be the first derivative of r**4/12 - 26*r**3/9 - 77*r**2/2 + 3440. Factor f(j).
j*(j - 33)*(j + 7)/3
Let j be (8 + (-329)/42)*(-169 + -11)/(-12). Solve -j*u**2 - 1/2*u**4 - u + 0 - 2*u**3 = 0 for u.
-2, -1, 0
Let z = 65015/4 - 16247. Let j be -1 - ((-2)/1 + 1). Suppose 81/2*k**3 + 3/8*k + z*k**2 + j + 81*k**4 = 0. Calculate k.
-1/6, 0
What is v in -1/2*v**2 - 1495/2 - 64*v = 0?
-115, -13
Suppose 0 = 165*l - 709 + 214. Let y(i) be the second derivative of 0*i**5 + 1/45*i**6 + 18*i - 1/9*i**4 + 1/3*i**2 + 0*i**l + 0. Let y(n) = 0. What is n?
-1, 1
Let l(j) be the second derivative of 5*j**4/12 - 2035*j**3 + 7454205*j**2/2 + 5162*j. Factor l(i).
5*(i - 1221)**2
Let q(w) = -7*w**2 - 19*w + 86. Let d(j) = 5*j**2 + 19*j - 73. Let p(g) = 4*d(g) + 3*q(g). Factor p(r).
-(r -