10*a + 177 = 0, -3*y - 4*a + 128 = 0. Suppose 54 + 3 + y*w + 11*w - 3*w**2 - w = 0. Calculate w.
-1, 19
Find y such that -1/3*y**2 - 110*y + 664/3 = 0.
-332, 2
Let j(a) be the second derivative of a**6/60 + 193*a**5/40 + 383*a**4/24 + 191*a**3/12 - 1780*a + 2. Factor j(k).
k*(k + 1)**2*(k + 191)/2
Let i(c) = -c**4 + 16*c**3 + 123*c**2 - 3197*c + 13997. Let k(m) = 6*m**4 - 96*m**3 - 737*m**2 + 19183*m - 83983. Let y(f) = 34*i(f) + 6*k(f). Factor y(g).
2*(g - 10)**3*(g + 14)
Suppose -2/25*w**3 + 12/5*w**2 - 214/25*w + 156/25 = 0. Calculate w.
1, 3, 26
Let a = 105510 + -105508. Determine v so that 2/3*v**3 + 8/15 - 14/15*v**a - 16/15*v = 0.
-1, 2/5, 2
Determine b so that -2/13*b**4 + 18/13*b**2 + 0 - 2/13*b**5 + 22/13*b**3 - 36/13*b = 0.
-3, -2, 0, 1, 3
Let k(r) = 34*r**3 + 166*r**2 + 14*r. Let i(z) = 7*z**3 + 33*z**2 + 3*z. Suppose 0 = -804*s + 798*s - 84. Let w(o) = s*i(o) + 3*k(o). Factor w(g).
4*g**2*(g + 9)
Let i(u) be the first derivative of 6*u**2 - u**4 + 8/3*u**3 + 8 + 0*u. Factor i(y).
-4*y*(y - 3)*(y + 1)
Let s(b) be the first derivative of -3*b**4 - 4*b**3/3 + 384*b**2 + 256*b - 2390. Find g such that s(g) = 0.
-8, -1/3, 8
Let u(j) be the first derivative of 2*j**3/3 + 370*j**2 - 742*j - 1499. Factor u(w).
2*(w - 1)*(w + 371)
Let p = -25273/2 - -12639. Let f(o) be the first derivative of -o - 7/3*o**3 + p*o**2 + 3/4*o**4 - 27. Factor f(w).
(w - 1)**2*(3*w - 1)
Factor 56*r + 24*r**2 + 71365*r**3 - 2*r**4 + 6 + 26 - 71367*r**3.
-2*(r - 4)*(r + 1)*(r + 2)**2
Suppose 123*s - 125*s - 4 = -4*x, 3*x - 5*s - 10 = 0. Factor -28/17*c**2 - 2/17*c**4 + 0 + x*c - 18/17*c**3.
-2*c**2*(c + 2)*(c + 7)/17
Let v(u) be the third derivative of u**5/150 - 29*u**4/30 + 19*u**3/5 - 65*u**2 + 1. Let v(a) = 0. What is a?
1, 57
Let v = 286 - 278. Suppose 6*q**2 - 8*q + 15*q**2 + v - 19*q**2 = 0. Calculate q.
2
Let j = -13184 + 13184. Let z(s) be the third derivative of j*s**3 + 0 + 0*s + 22*s**2 - 1/12*s**4 - 1/60*s**5 + 1/60*s**6 + 1/210*s**7. Factor z(l).
l*(l - 1)*(l + 1)*(l + 2)
Solve -5*m**4 + 9*m**4 + 28*m**3 - 1704 + 1704 + 48*m**2 = 0.
-4, -3, 0
Let h(z) = 895*z**3 + 475*z**2 + 64*z. Let o(l) = 2686*l**3 + 1426*l**2 + 192*l. Let d = 525 - 511. Let p(k) = d*h(k) - 5*o(k). Factor p(f).
-4*f*(15*f + 4)**2
Let p be (2/2*6)/2. Suppose 2*z + p*w = 51, 4*z + 2*w = -w + 117. Let -16*k**2 - 51*k - 6 - z*k**2 + 4*k**2 = 0. Calculate k.
-1, -2/15
Suppose 0 = -45*d + 19*d + 358904. Suppose 0 = -10*z - 19*z + d. Factor -z*s - 196 - 4/7*s**5 - 760/7*s**3 - 376*s**2 - 92/7*s**4.
-4*(s + 1)**2*(s + 7)**3/7
Let m(b) be the second derivative of b**4/20 + 16*b**3/5 - 216*b**2/5 + 1036*b. Solve m(a) = 0.
-36, 4
Let o = 1140339/5 - 227267. Factor 3232/5*s**4 + o*s - 338/5 - 15602/5*s**2 + 128/5*s**5 + 3832*s**3.
2*(s + 13)**2*(4*s - 1)**3/5
Let r be (96/(-20) + 5)/((-2)/(-20)*1). Let 120/11*y + 24/11*y**3 - 50/11 - 92/11*y**r - 2/11*y**4 = 0. Calculate y.
1, 5
Suppose 6*a - 104 = -86. Suppose 4 = -a*o - 10*v + 8*v, 0 = -5*o + v + 2. Let -8/15*i + 8/5*i**4 + 16/5*i**2 + o - 14/3*i**3 = 0. What is i?
0, 1/4, 2/3, 2
Suppose 5*k = -g + 382, -g + 7*k - 2*k = -402. Let j be g/(-35)*96/(-84). Find y such that 48/5*y**2 + j*y + 16/5*y**3 + 32/5 + 2/5*y**4 = 0.
-2
Suppose 0 = -t - 0 + 2, t = -3*q + 23. Suppose q*h - 8 - 6 = 0. Factor -75 - b**3 - 3*b**h + 4*b**3 - 3*b + 75 + 3*b**4.
3*b*(b - 1)*(b + 1)**2
Let d(s) = -15*s**4 + 258*s**3 - 894*s**2 + 1035*s - 298. Let a(k) = -k**4 + 2*k**3 - 2*k**2 + k + 2. Let q(z) = 5*a(z) + d(z). Find y, given that q(y) = 0.
2/5, 2, 9
Let m(t) be the first derivative of t**4/16 + 8*t**3 + 47*t**2/2 + 680. Determine a so that m(a) = 0.
-94, -2, 0
Factor -248 - 190*x**2 + 1124/3*x + 33*x**3 - 1/3*x**4.
-(x - 93)*(x - 2)**3/3
Let x(z) be the second derivative of z**4 + 15*z**3/2 - 243*z**2/2 - 190*z - 3. Factor x(i).
3*(i - 3)*(4*i + 27)
Let m = 0 + 3. Suppose 2*n + 4 = 0, -2*l = 3*n + n. Factor -11*b + 8*b - 3*b**m + 2*b**2 + l*b**2.
-3*b*(b - 1)**2
Let d = 718 + -439. Let b = -277 + d. Factor 3/7*c**4 - 24/7*c + 15/7*c**3 - 3/7*c**5 - 3/7*c**b - 12/7.
-3*(c - 2)**2*(c + 1)**3/7
Let o(w) = -11*w**2 + w - 1. Let q(t) = 77*t**2 + 12984*t + 348096. Let x(j) = -4*o(j) + q(j). Factor x(b).
(11*b + 590)**2
Let r = 165111 + -825549/5. Suppose -2/15*o**3 - 2/5*o - 2/3*o**2 + r = 0. Calculate o.
-3, 1
Suppose 0*q**3 + 1/2*q**4 + 45*q - 35/2*q**2 - 28 = 0. What is q?
-7, 1, 2, 4
Suppose 2*o = 112 + 152. Solve -124*y**2 + 0*y**5 + o*y**3 - 26*y**4 - 26*y**4 + 40*y + 4*y**5 = 0.
0, 1, 10
Let z(v) be the third derivative of v**7/42 - 23*v**6/24 + 55*v**5/12 + 665*v**4/8 - 10887*v**2. Factor z(n).
5*n*(n - 19)*(n - 7)*(n + 3)
Let i(y) be the third derivative of 1/44*y**4 + 152*y**2 + 0*y - 1/660*y**6 + 6/11*y**3 + 0 - 2/165*y**5. Solve i(m) = 0.
-3, 2
Let p(i) be the first derivative of i**7/63 - 7*i**6/45 + 11*i**5/30 - 5*i**4/18 + 23*i - 1. Let h(f) be the first derivative of p(f). Factor h(t).
2*t**2*(t - 5)*(t - 1)**2/3
Let k(a) = -4*a**3 - 48*a**2 - 31*a - 332. Let n be k(-12). Solve 20/3*l**3 - 24 - n*l - 26/3*l**2 - 2/3*l**4 = 0 for l.
-1, 6
Let z(l) be the third derivative of -3*l**6/280 - 41*l**5/35 + 167*l**4/42 - 16*l**3/3 - 3532*l**2. Factor z(c).
-(c + 56)*(3*c - 2)**2/7
Let f(q) = 5*q**3 - 105*q**2 - 250*q - 5. Let d(c) = -7*c**3 + 157*c**2 + 374*c + 8. Let j(w) = -5*d(w) - 8*f(w). Suppose j(i) = 0. Calculate i.
-2, 0, 13
Let y(x) be the third derivative of x**6/600 + 83*x**5/75 - 67*x**4/6 + 224*x**3/5 + 165*x**2 - 2*x - 3. Factor y(j).
(j - 2)**2*(j + 336)/5
Let w = -10 - -51. Let z = w - 39. Solve 16*d - 18*d**3 + 39*d**2 + 5*d**z + 6*d**3 = 0 for d.
-1/3, 0, 4
Let t(b) be the second derivative of -4/13*b**3 + 3 + 0*b**4 - 16/13*b**2 + 19*b + 1/130*b**5. What is p in t(p) = 0?
-2, 4
Let i(w) = 4*w**2 - 6*w**2 + 3*w**2. Let j(h) = -3*h**2. Let s(a) = -49*a - 146. Let t be s(-3). Let p(l) = t*i(l) + j(l). Determine d so that p(d) = 0.
0
Let i(f) be the first derivative of 5/7*f**3 + 3/28*f**4 - 18 + 3/2*f**2 + 9/7*f. Let i(t) = 0. Calculate t.
-3, -1
Let k(u) = 19*u**2 + 52*u - 11. Let p be k(-3). Let v(g) be the first derivative of -5/3*g + 5/4*g**2 - 5/24*g**p + 0*g**3 + 7. Find q, given that v(q) = 0.
-2, 1
Let q(f) = -38*f**2 + f**3 + 7 + 1 + 52*f**2 - 16*f. Let l be q(-15). Factor -25 - l*d**2 - d**2 + 4*d**3 - 5*d + 50*d.
(d - 1)*(2*d - 5)**2
Let k = -770104/9 - -85568. Suppose 2/9*z**3 - k*z + 8/9 - 2/9*z**2 = 0. What is z?
-2, 1, 2
Let c(d) be the first derivative of -908*d**3 + 27/2*d**6 - 2187/5*d**5 + 300*d**2 - 192 + 2079/2*d**4 + 0*d. What is f in c(f) = 0?
0, 2/3, 25
Suppose -15*o = -5*o - 800. Let 55*n + 37*n - 20 - o*n - n**2 = 0. What is n?
2, 10
Let q(a) be the second derivative of -a**5/180 - a**4/24 - a**3/9 - 33*a**2/2 - 238*a. Let g(h) be the first derivative of q(h). Factor g(s).
-(s + 1)*(s + 2)/3
Let w(p) be the second derivative of 0*p**2 - 17/6*p**3 - 1/12*p**4 - 45*p + 3. Factor w(l).
-l*(l + 17)
Suppose 0 = -5*j + 4*a + 60, 4*j - 94*a = -89*a + 66. Factor -3/7*c**2 - 1/7*c**j - 4/7*c**3 + 0 + 0*c.
-c**2*(c + 1)*(c + 3)/7
Let j = 711 - 339. Let b = j + -253. Factor -4*l**2 - 4*l**2 + 8*l**4 + b*l - 4*l**3 - 115*l.
4*l*(l - 1)*(l + 1)*(2*l - 1)
Let o(j) be the second derivative of 0*j**2 - 1/6*j**4 + 0 - 8/3*j**3 + 63*j. Factor o(z).
-2*z*(z + 8)
Let b(r) = -9*r**2 + r**4 + 1 - 8*r**2 - 12*r**2 + 28*r**2. Let s(v) = -4*v**4 - 5*v**3 + 9*v - 3. Let p(w) = 6*b(w) + 2*s(w). Determine k, given that p(k) = 0.
-3, 0, 1
Let c(y) be the first derivative of 5/3*y**3 - 25*y + 10*y**2 - 16. Determine b, given that c(b) = 0.
-5, 1
Let l be (-8)/10*(-2 + -3). Let b be (-1)/((-4)/(-32))*l/(-8). Factor -8/3*w - b + 4/3*w**2.
4*(w - 3)*(w + 1)/3
Let w = -9779 + 9828. Let i(p) be the second derivative of 2/3*p**4 + 0 + 2/21*p**7 - w*p - 6*p**2 + 10/3*p**3 + 2/15*p**6 - 6/5*p**5. Factor i(g).
4*(g - 1)**3*(g + 1)*(g + 3)
Find m such that 206 + 2/9*m**2 - 224/9*m = 0.
9, 103
Let t(v) be the first derivative of v**3/9 + 557*v**2/6 + 556*v/3 + 2419. Factor t(n).
(n + 1)*(n + 556)/3
Let f(o) be the first derivative of o**4/10 + 10*o**3/3 + 62*o**2/5 - 176*o/5 + 1282. Suppose f(d) = 0. What is d?
-22, -4, 1
Suppose -149*z + 220 - 2500 = -434*z - 475*z. Factor 2/11*y**5 + 4/11*y**2 - 4/11*y**4 - 2/11*y + 0 + 0*y**z.
2*y*(y - 1)**3*(y + 1)/1