.
-2, -2/7, 0
Let o(r) be the first derivative of -2*r**3/15 - 3*r**2/5 + 36*r/5 + 466. Factor o(p).
-2*(p - 3)*(p + 6)/5
Let s(g) = 40*g - 2276. Let j be s(57). Let m(c) be the first derivative of 0*c - 1/2*c**j + c**3 - 1 - 1/2*c**2. Solve m(f) = 0.
0, 1/2, 1
Let u be (-44)/(-24) - (-1)/6. Factor -37*g**3 + 31*g**u + 16*g**3 + 41*g**2 + 25*g**3.
4*g**2*(g + 18)
What is c in -70/9*c**3 - 590/3*c + 646/9*c**2 - 2/9*c**4 + 172 = 0?
-43, 2, 3
Suppose 0 = 3*m - 6, 2*d = -2*d - 4*m + 12. Let v be d - 3 - (-368)/115. Find a such that -6/5*a**2 + v - 16/5*a = 0.
-3, 1/3
Let c = 53995/44 + -13496/11. Factor -c*b**4 + 0*b**2 + 0 + 0*b**3 + 0*b.
-b**4/4
Suppose 417/4*y**2 + 0 - 3/4*y**3 + 105*y = 0. What is y?
-1, 0, 140
Let d(z) = -z**3 + 35*z**2 - 37*z + 27. Suppose -3 = 3*n, -a - 57*n + 4 = -60*n. Let l(y) = -2*y**2 - y - 1. Let o(b) = a*d(b) + 6*l(b). Factor o(f).
-(f - 21)*(f - 1)**2
Suppose 4/5*f**4 + 536/5 + 796/5*f - 268/5*f**3 - 12/5*f**2 = 0. What is f?
-1, 2, 67
Let d be -4*(216/(-336)*-14 + (-38)/4). Factor -1/5*a**d + 0 + 57/5*a.
-a*(a - 57)/5
Solve 15*h**2 - 26*h**3 + 0*h + 2/3*h**5 - 25/3*h**4 + 0 = 0 for h.
-3, 0, 1/2, 15
Let f(s) be the second derivative of 6/7*s**2 - 1/42*s**4 + 5/21*s**3 + 7*s + 4. Factor f(w).
-2*(w - 6)*(w + 1)/7
Let 718*z**4 - 45602*z**3 - 94*z**5 + 92*z**5 - 114*z**4 = 0. Calculate z.
0, 151
Factor 2844*s**2 + 421691*s - 51281*s + 3*s**3 + 303618*s.
3*s*(s + 474)**2
Let c be 1 - 73*-1 - (10 - 7). Let y = c - 61. Solve -24*m + 32*m + y*m + 24 + 3*m**2 = 0.
-4, -2
Let k(v) be the first derivative of -v**3 - 162*v**2 - 1836*v - 1974. Factor k(t).
-3*(t + 6)*(t + 102)
Let k(n) = -n**3 - 26*n**2 + 15. Let m be k(-26). Factor -30*a - 40 + 13*a - 3*a**3 - m*a + 5*a**3 - 2*a**2.
2*(a - 5)*(a + 2)**2
Let q(p) be the third derivative of 1/210*p**7 - 45*p**2 + 1/6*p**3 - 1/240*p**6 - 1/48*p**4 + 0 - 1/20*p**5 + 0*p. Factor q(b).
(b - 2)*(b + 1)**2*(2*b - 1)/2
Let f be (-4)/34 + 7830/13090. Let l = f + 3/154. Suppose 0*y**3 + l*y + 0 + 3/4*y**2 - 1/4*y**4 = 0. Calculate y.
-1, 0, 2
Let u(k) = -k**3 - 7*k**2 + 3. Suppose -n - 3 = z - 0*z, z - 3*n + 19 = 0. Let j be u(z). Factor w**j + 38*w**2 + w**4 + 0*w**3 - 40*w**2.
w**2*(w - 1)*(w + 2)
Let w(r) = 18*r + 5*r**2 + 2*r**2 + r**3 + 6*r**2 - 60 - 11*r. Let m be w(-12). Solve m - 2/9*l**3 - 28/9*l**2 - 98/9*l = 0.
-7, 0
Let k be -554*(6 - (-222)/(-36)). Let v = k - 272/3. Factor -10/3*h**2 - v*h**3 - 5/3*h + 0.
-5*h*(h + 1)**2/3
Let a(y) be the first derivative of -y**3/3 + 5*y**2 - 24*y - 1015. Determine r, given that a(r) = 0.
4, 6
Let x(k) be the third derivative of -k**8/4200 - 2*k**7/105 - 4*k**6/9 - 55*k**3/3 - k**2 - 12. Let j(r) be the first derivative of x(r). Factor j(v).
-2*v**2*(v + 20)**2/5
Let a be (84/((-714)/17))/(-1). Solve 3/8*g**4 - 3/8*g**3 - 27/8*g**a - 3/2 - 33/8*g = 0 for g.
-1, 4
Let f(a) be the first derivative of -a**4/28 + 263*a**3/21 + 76*a**2 + 1068*a/7 + 208. Factor f(s).
-(s - 267)*(s + 2)**2/7
Let l(t) be the first derivative of -43*t**3 - 3*t**4 + 69/4*t**2 + 33/2*t - 36. Let l(p) = 0. Calculate p.
-11, -1/4, 1/2
Let x(m) be the second derivative of m**4/6 + 10*m**3 + 225*m**2 - 2*m + 455. Let x(c) = 0. Calculate c.
-15
What is a in -88/7*a + 2/21*a**3 + 272/21 + 20/7*a**2 = 0?
-34, 2
Solve -2/11*b**3 - 162*b + 126/11*b**2 + 7290/11 = 0.
9, 45
Suppose -30*d**4 - 4*d**5 + 9*d**5 - 54*d**2 + 81*d**3 - 2*d**5 = 0. What is d?
0, 1, 3, 6
Let c(z) be the first derivative of z**6/1440 - z**5/32 + 7*z**4/48 - 8*z**3 - z**2 - 52. Let a(k) be the third derivative of c(k). Factor a(w).
(w - 14)*(w - 1)/4
Let m(c) be the second derivative of -c**4/3 - 100*c**3/3 - 368*c**2 - 311*c - 3. Solve m(j) = 0 for j.
-46, -4
Let z(v) be the second derivative of -v**7/63 + 19*v**6/45 - 47*v**5/30 - 19*v**4/18 + 16*v**3/3 - 99*v + 5. Determine g, given that z(g) = 0.
-1, 0, 1, 3, 16
Let a(s) = -s + 5. Let n be a(5). Let t = 5251 - 5247. Factor -4*j**3 + n + 7/2*j**2 + 1/2*j**t + 0*j.
j**2*(j - 7)*(j - 1)/2
Let m(w) be the first derivative of w**3/3 + 1882*w**2 + 3541924*w + 519. Factor m(q).
(q + 1882)**2
Let z(m) be the first derivative of -5*m**6/6 + 7*m**5 - 5*m**4 - 20*m**3 - 1498. Solve z(f) = 0.
-1, 0, 2, 6
Let t(i) = -7*i**2 - 211*i - 28. Let y be t(-30). Suppose 5*b - 2*p = 9*b, -2*p = -y*b. Factor 1/4*x**4 - 3/2*x + b*x**3 - 7/4*x**2 + 0.
x*(x - 3)*(x + 1)*(x + 2)/4
Let t = -102 - -114. Determine x so that t - 56 - 2*x**2 - 180*x + 154*x = 0.
-11, -2
Let z be 4/7 - (-43 + (-49972)/(-1144))/((-7)/(-4)). Solve 0 - 4/11*v**2 + 0*v - z*v**3 = 0 for v.
-2, 0
Let k(n) be the second derivative of -77*n**4/3 - 284*n**3/3 + 48*n**2 + 4*n + 33. Factor k(r).
-4*(r + 2)*(77*r - 12)
Let l(o) be the first derivative of -o**6/12 + 33*o**5/10 - 81*o**4/8 - 265*o**3/6 - 75*o**2/2 - 3454. Solve l(u) = 0 for u.
-1, 0, 5, 30
Let j(t) be the second derivative of -t**4/42 + 398*t**3/21 + 800*t**2/7 - 61*t + 41. Determine w, given that j(w) = 0.
-2, 400
Let k(o) be the third derivative of -5*o**5/42 - 19*o**4/21 - o**3/7 + o**2 + 1257*o. Solve k(y) = 0 for y.
-3, -1/25
Let o(d) be the second derivative of d**5/20 - 16*d**4 + 191*d**3/6 - 1052*d - 2. What is n in o(n) = 0?
0, 1, 191
Let u(l) be the second derivative of -1/10*l**6 - 1/2*l**4 + 13 - 9/20*l**5 + 0*l**3 - l + 0*l**2. Factor u(m).
-3*m**2*(m + 1)*(m + 2)
Let m(s) = -25*s**5 + 4*s**4 + 2*s**3 - 39*s**2 + 35*s + 14. Let j(k) = 9*k**5 - k**4 - k**3 + 13*k**2 - 12*k - 4. Let n(a) = 11*j(a) + 4*m(a). Factor n(l).
-(l - 3)*(l - 2)**2*(l + 1)**2
Let h(v) = 21*v**4 + 184*v**3 + 476*v**2 - 271*v + 36. Let o(t) = -t**4 + t**2 - t. Let r = 151 - 136. Let q(d) = r*o(d) + 3*h(d). Factor q(y).
3*(y + 6)**2*(4*y - 1)**2
Let a(z) be the first derivative of 1/12*z**4 - 15*z + 1/3*z**3 - 3/2*z**2 + 31. Let o(y) be the first derivative of a(y). Factor o(w).
(w - 1)*(w + 3)
Let w = 974/363 + -2/121. Let n = 59972 + -59970. Factor 2 - w*f + 2/3*f**n.
2*(f - 3)*(f - 1)/3
Suppose 2*b + 30 = 4*y + 550, 0 = -2*b - 4*y + 480. Solve -28 + 76*o**3 + 86*o**3 + 28*o**2 + 84*o**3 + 4*o - b*o**3 = 0 for o.
-1, 1, 7
Let j(i) be the first derivative of 0*i - 2/3*i**2 + 70 + 1/9*i**3. Suppose j(v) = 0. Calculate v.
0, 4
Suppose -5*m + 44 = b, 0 = -5*b - m - 25 + 197. Suppose 88*d - 71*d - b = 0. Factor 4/5*w**d - 24/5*w - 28/5.
4*(w - 7)*(w + 1)/5
Let d(m) be the first derivative of 12*m**2 - 2/25*m**5 - 10*m - 92/15*m**3 + 6/5*m**4 + 25. Factor d(k).
-2*(k - 5)**2*(k - 1)**2/5
Let c be ((-12)/(-9))/(6/9 + 0). Suppose -65*k = -63*k - 4. Determine v, given that -v**k + 432 + v**2 + 24*v + 2*v**c - 410 = 0.
-11, -1
Suppose 25 = 4*k - 23. Suppose 3*u - o - k = 3*o, 4*o + 16 = 4*u. Factor h**2 + 4*h**2 - u + 3 - 4*h**2.
(h - 1)*(h + 1)
Determine k so that -133/6*k**2 + 15/2*k**3 - 4/3 - 31*k = 0.
-1, -2/45, 4
Let n = 149909/33314 - -2/16657. Let w(d) be the second derivative of 2*d - 4*d**4 + 1/14*d**7 + 21/10*d**5 - 3*d**2 + 0 + n*d**3 - 3/5*d**6. Factor w(t).
3*(t - 2)*(t - 1)**4
Let h(j) be the second derivative of j**4/20 + 813*j**3/5 + 1982907*j**2/10 - j + 661. Find i, given that h(i) = 0.
-813
Let q = -7/80706 - -201779/161412. Factor 13/4*f + 1/4*f**4 - 3/4*f**2 + 5/2 - q*f**3.
(f - 5)*(f - 2)*(f + 1)**2/4
Let n(p) be the third derivative of -p**5/300 - 13*p**4/8 + 197*p**3/15 + 3*p**2 - 1765. Factor n(j).
-(j - 2)*(j + 197)/5
Let z(b) be the third derivative of b**6/30 - 12*b**5/5 - 25*b**4/2 - 76*b**3/3 - 11*b**2 - 277*b. Determine o, given that z(o) = 0.
-1, 38
Let u(f) = -3*f**3 - 4147*f**2 - 8285*f - 4186. Let x(k) = -2*k**3 - 2074*k**2 - 4142*k - 2097. Let d(g) = 9*u(g) - 15*x(g). Factor d(s).
3*(s - 2073)*(s + 1)**2
Let u be 2968/(-400) + 8 + (-28)/350. Suppose -i - 56 + 556 = 0. Factor 15*g**2 - 150*g + i - u*g**3.
-(g - 10)**3/2
Let x(f) = f**3 - f**2 + 1. Let r(l) = -7*l**3 + 224*l**2 - 8. Let m(g) = -r(g) - 8*x(g). Suppose m(c) = 0. Calculate c.
-216, 0
Suppose 0 = 4*y + 5*k - 24, -9*y + 3*k - 12 = -11*y. Let z = -5 - -8. Determine a so that -37 + y*a + 17 - z*a**2 + 17 = 0.
1
Let b = -126435 - -126437. Let 3/4*l**b + 7/2 + 7/4*l**3 - 1/4*l**4 - 23/4*l = 0. What is l?
-2, 1, 7
Let l = 63 + -59. Suppose -5*k - 17 + 259 = l*s, -3*k + 57 = s. What is a in -2*a**4 + 63*a - s*a + 4*a**2 - 2 = 0?
-1, 1
Suppose 4*c = -5*d + 69, -6 + 3 = d. Let