- 5/4*k**4 + 0*k + 20/3*k**3. Find p such that c(p) = 0.
0, 1, 3
Let p = 2186 + -4657. Let l = p + 2471. Factor 2/11*k**2 + 4/11*k + l - 2/11*k**3.
-2*k*(k - 2)*(k + 1)/11
Suppose 63*u - 451 = 370 - 506. Let s(d) be the second derivative of 0 - 5/36*d**4 - 12*d + 0*d**2 - 1/3*d**3 + 1/60*d**u. Factor s(j).
j*(j - 6)*(j + 1)/3
Factor -2/13*m**2 + 2/13*m + 24/13.
-2*(m - 4)*(m + 3)/13
Let p(s) be the first derivative of s**6/9 + 8*s**5/15 - 28*s**3/9 - 17*s**2/3 - 4*s + 1246. Factor p(r).
2*(r - 2)*(r + 1)**3*(r + 3)/3
Let q(x) = -3*x**2 + 23*x - 2. Let y(i) = 3*i**2 - 24*i + 3. Suppose -k - 3*k + 5*h - 7 = 0, 0 = 4*k + 4*h + 16. Let a(s) = k*q(s) - 2*y(s). Factor a(g).
3*g*(g - 7)
Factor -2/7*k**4 + 0 - 2/7*k**3 + 0*k + 2/7*k**5 + 2/7*k**2.
2*k**2*(k - 1)**2*(k + 1)/7
Let g(m) = 6*m + 39*m**2 - 6 - 3 + 0*m. Let q be (-12 - 451/(-33))/((-3)/9). Let n(t) = 8*t**2 + t - 2. Let y(u) = q*g(u) + 24*n(u). Factor y(a).
-3*(a + 1)**2
Suppose 3*r - 14 = 4*m, r + 140*m - 8 = 143*m. Solve 9/7 + 3/7*w**r - 12/7*w = 0 for w.
1, 3
Suppose 0 = -4*w - 4*h + 1 + 7, 3*w - 8 = -h. Let u(x) = -x**3 + x**2 + 7*x - 1. Let g be u(w). Solve 3*c**g - 2 + c**2 - 2 - 12 = 0 for c.
-2, 2
Let z(v) be the third derivative of 2*v**7/21 + 59*v**6/24 - 161*v**5/4 - 36595*v**4/24 + 9295*v**3/6 - 4907*v**2. Find n, given that z(n) = 0.
-13, 1/4, 11
Let i(b) be the third derivative of b**7/42 - b**6/6 - 221*b**5/12 - 134*b**2 + 1. What is g in i(g) = 0?
-13, 0, 17
Suppose 68*s = 72*s - 240. Let k be (-25)/s + ((-50)/15 - -4). Factor k*q**2 + 49/4 - 7/2*q.
(q - 7)**2/4
Let d(i) be the third derivative of 16*i - 2*i**2 + 0*i**3 - 1/1365*i**7 + 1/130*i**5 + 0 + 0*i**4 - 1/390*i**6. Determine h, given that d(h) = 0.
-3, 0, 1
Let x(i) = -i**3 + 10*i**2 - 10*i + 12. Suppose 3*a - 2*r = 1 + 16, -4*a = -2*r - 26. Let p be x(a). Factor -4 + 12*u**2 - u**2 + 4*u**3 - p*u - u - 7*u**2.
4*(u - 1)*(u + 1)**2
Let d(k) be the third derivative of k**5/105 + 29*k**4/14 + 340*k**3/21 + 19*k**2 + 6*k. Suppose d(r) = 0. Calculate r.
-85, -2
Let i = 1703413 + -18717737/11. Let r = i - 1800. Find k such that r*k**2 + 0 + 6/11*k**3 + 2/11*k + 2/11*k**4 = 0.
-1, 0
Let l(h) be the second derivative of h**4/30 + 266*h**3 + 796005*h**2 - 55*h + 36. Let l(d) = 0. What is d?
-1995
Let x(j) be the first derivative of -j**5/20 + 1375*j**4/16 - 6386. Factor x(z).
-z**3*(z - 1375)/4
Let o(j) = j**2 - 2*j - 55. Let g(x) = -4*x**2 + 146*x + 254. Let z(h) = -g(h) - 2*o(h). Determine v, given that z(v) = 0.
-1, 72
Factor 1/3*f**2 - 89/3*f - 30.
(f - 90)*(f + 1)/3
Let h(g) be the third derivative of -g**7/1512 + g**6/144 + 5*g**5/36 - 9*g**4/8 - 17*g**2. Let j(k) be the second derivative of h(k). Solve j(i) = 0 for i.
-2, 5
Let w(c) be the third derivative of 5*c**6/24 + 77*c**5/12 - 875*c**4/12 - 380*c**3/3 + 72*c**2 - 1. Factor w(n).
5*(n - 4)*(n + 19)*(5*n + 2)
Let f(h) = -64*h**2 + 221*h - 74. Let a(g) = -112*g**2 + 368*g - 124. Let o(s) = -7*a(s) + 12*f(s). Solve o(m) = 0.
-5, 1/4
Let u be (-53)/(-742) + 27/14. Suppose -4*l = u*q + 8, 3*q - 15*l + 16*l = 3. Determine f, given that -1/4*f**q - 1/2*f + 3/4 = 0.
-3, 1
Suppose -4*j = -39 + 27. Suppose j*k - 18 + 5 = -w, -2*k = 3*w - 18. Factor 10*u**2 - 5*u**5 + 7*u**5 + k*u**5 - 5*u - 9*u**4 - u**4.
5*u*(u - 1)**3*(u + 1)
Let b(h) be the second derivative of h**6/300 - 617*h**5/200 - 1237*h**4/120 - 619*h**3/60 - 14*h + 209. Factor b(m).
m*(m - 619)*(m + 1)**2/10
Let t be (-1890)/(-108)*(-60)/(-14). Let z be t/88 + -7*(-3)/(-168). Determine m, given that 18/11*m**4 - 54/11*m**2 - 4/11*m**3 - z + 48/11*m = 0.
-2, 2/9, 1
Let m(k) = k**4 + 12*k**3 + 21*k**2 + 10*k - 6. Let s(b) = -b**3 + b**2 + 2*b + 2. Let v(a) = -2*m(a) - 6*s(a). Factor v(u).
-2*u*(u + 1)*(u + 4)**2
Let v(p) be the second derivative of -p**4/18 - 28*p**3/9 - 49*p**2 + 59*p + 13. Determine q, given that v(q) = 0.
-21, -7
Suppose 2*c + 3*b - 12 = 0, -5*c + 0*b + 30 = -b. Let o be 152/57 - 0*(-3)/c. Suppose -8/3 + 8/3*l + 2/3*l**4 + 2*l**2 - o*l**3 = 0. Calculate l.
-1, 1, 2
What is f in -1804*f - 426*f + 16*f**2 - 2018*f + 5754 + 1365*f - 13*f**2 = 0?
2, 959
Suppose -4*y = -5*v - 46, -2*y + 174*v - 179*v - 22 = 0. Determine r, given that 2*r**5 - 7/3*r**y - 13/3*r**3 + 0 + 4/3*r + 4/3*r**2 = 0.
-1, -1/2, 0, 2/3, 2
Let u(t) = t**2 + 9*t + 22. Let w be u(-5). Solve 21*r + r**2 - r + 3*r**w + 0*r**2 + 0*r**2 + 16 = 0.
-4, -1
Let z(o) be the first derivative of 0*o + 35*o**5 + 5/3*o**3 + 0*o**2 + 125/6*o**6 + 55/4*o**4 - 131. Solve z(m) = 0.
-1, -1/5, 0
Suppose 151*n = -455*n - 122*n + 2184. Let -2/3 + 5/2*m + 7/6*m**3 - n*m**2 = 0. Calculate m.
4/7, 1
Let q be 5*10/75 - 2/3. Let p = 3 + q. What is c in -2*c**5 + 4*c**2 + 0*c**2 + 125*c**p - 119*c**3 = 0?
-1, 0, 2
Let p(v) be the third derivative of 0 - 58*v**2 + 7/24*v**4 - 1/15*v**6 + 1/20*v**5 - 2/105*v**7 + 0*v + 1/3*v**3. Let p(o) = 0. What is o?
-2, -1/2, 1
Let u be 5 - (-2 + 13 - (-2750)/(-385)). Let -2*h + 4/7*h**2 - u = 0. Calculate h.
-1/2, 4
Let p be (39/32)/((-615)/60 - -11). Let j(c) be the second derivative of 5/4*c**4 + p*c**3 + 27/80*c**5 + 3/4*c**2 + 0 - 15*c. Let j(t) = 0. What is t?
-1, -2/9
What is r in 11 + 5*r**3 - 1395*r + 738*r**2 - 48*r**2 + 983 - 294 = 0?
-140, 1
Let t be 2 - (0 - (4 + -3)). Let y(d) be the second derivative of -8*d**2 - 54*d**3 + 14*d**3 - t*d**4 + 23*d - 45*d**4 - 27*d**4. Solve y(i) = 0 for i.
-2/15
Let s(t) be the first derivative of 1/25*t**5 + 44/15*t**3 - 80 + 0*t + 0*t**2 - 3/4*t**4. What is g in s(g) = 0?
0, 4, 11
Let g(b) be the second derivative of -b**5/40 - 23*b**4/24 - 47*b**3/6 - 18*b**2 - 1138*b. Factor g(s).
-(s + 1)*(s + 4)*(s + 18)/2
Let d(k) be the third derivative of 0*k**4 + 0*k - 28*k**2 - 4 - 2/35*k**7 + 0*k**3 + 5/18*k**6 + 2/15*k**5. Factor d(w).
-4*w**2*(w - 3)*(9*w + 2)/3
Let g(v) be the first derivative of 10*v**5 + 5305*v**4/2 - 6404*v**3 + 5132*v**2 - 1712*v - 2379. Determine p so that g(p) = 0.
-214, 2/5, 1
Suppose 5*n = 202 - 57. Let t = 737 + -720. What is p in n - t + 4*p**3 + 2*p - 11 - 7*p**2 = 0?
-1/4, 1
Solve 120 + 36*x**2 - 3628*x - 38*x**2 + 3746*x = 0.
-1, 60
Let m = 778885 + -2336653/3. Find g such that -2/3*g**4 + 0 + 2/3*g**2 + m*g - 2/3*g**3 = 0.
-1, 0, 1
Let w be 4 + (-7 + 4 - -3)/(-2). Let a be (w/5)/(171/285). Factor 4*r**3 + a - 4*r - 4/3*r**2.
4*(r - 1)*(r + 1)*(3*r - 1)/3
Factor -314*n**2 - 138*n**2 - 245*n**2 - 7*n**3 + 40328 - 140580*n - 1289*n**2.
-(n + 142)**2*(7*n - 2)
Let a(o) = -o**3 + 8*o**2 - 14*o + 32. Let k be a(6). Factor 73*r**2 - k*r**2 - 6*r - 2*r**3 - 23*r**2 - 22*r**2.
-2*r*(r - 3)*(r - 1)
Let n(k) = 2*k**2 - 18*k + 2. Let l(q) = q**3 + 15*q**2 - 4*q - 51. Let t be l(-15). Let s be n(t). Factor 1/3*x**s + 27 + 6*x.
(x + 9)**2/3
Let v = -1908 - -8092. Factor 12338 + 1019*u + 43*u**2 + 2*u**3 + v + 83*u**2 + 1627*u.
2*(u + 21)**3
Let h(f) be the first derivative of -197 + 2/3*f**2 - 2*f**3 + 5/36*f**6 + 0*f - 9/10*f**5 + 25/12*f**4. Let h(i) = 0. What is i?
0, 2/5, 1, 2
Let g(i) be the second derivative of 13*i**5/20 + 11*i**4/3 + 49*i**3/6 + 9*i**2 + 2*i + 687. Suppose g(p) = 0. What is p?
-18/13, -1
Let k be (48/30)/(2 - (-16)/(-10)). Let s be (8 - k - (2 + 1)) + -1. Suppose 0*v**4 + 0 + s*v**2 + 5/3*v**5 + 0*v - 5/3*v**3 = 0. Calculate v.
-1, 0, 1
Let b be 180/(-12) + 29 + -12. Let n(c) be the first derivative of 3/10*c**b + 0*c - 2/5*c**3 - 3 + 3/20*c**4. Factor n(v).
3*v*(v - 1)**2/5
Let s(g) = g**2 + 4*g - 5. Let a be s(-5). Suppose 0 = y - 2*m + 6*m - 11, a = 4*y - m - 27. Factor y*q - 6*q + q**3 - 2*q**3.
-q*(q - 1)*(q + 1)
Let f(t) = 5*t**2 + 7*t + 9. Let p(q) = 2*q**2 + 3*q + 4. Let a = -13 - -16. Suppose 3*w - 18 = -a*w. Let k(g) = w*f(g) - 7*p(g). Factor k(c).
(c - 1)*(c + 1)
Let t(b) be the second derivative of -b**4/18 + 22*b**3/9 + 23*b**2/3 - 1855*b. Factor t(f).
-2*(f - 23)*(f + 1)/3
Let b be (-10)/35*(-63)/6. Suppose s - l = -b + 7, -4*s - 5*l + 16 = 0. Factor 15/2*y**3 + 0*y + 3/2*y**5 - 3*y**2 - 6*y**s + 0.
3*y**2*(y - 2)*(y - 1)**2/2
Suppose 2*h + 104 - 124 = 0. Let z be (18/35)/(-9) + 2/h. Factor 12/7*j**3 + 13/7*j**2 - z + 0*j.
(j + 1)*(3*j + 1)*(4*j - 1)/7
Let g = -10 - -43. Let t = g - 31. Factor 6*u**t + 4*u**4 + 2*u**2 - 12*u**3 + 0*u**3.
4*u**2*(u - 2)*(u - 1)
Suppose -4*o + 3*t + 1379 = 0, 3*o + 2*t = -0*t + 1047. 