(p - 1)*(p + 1)*(4*p + 1)
Let o be (-10)/120*-18 - (-2 - -2). Factor -6 + o*z**2 + 9/2*z.
3*(z - 1)*(z + 4)/2
Suppose 0 = -3*d - 166 + 124. Let p be 100/150*(-27)/d. Factor 3/7*s**2 + 6/7 + p*s.
3*(s + 1)*(s + 2)/7
Let z(u) be the third derivative of -3 - 1/40*u**6 - 1/140*u**7 + 1/40*u**5 + 1/8*u**4 + 0*u + 0*u**3 - 3*u**2. Solve z(r) = 0.
-2, -1, 0, 1
Suppose -81*h + 2534 - 2372 = 0. Let g(n) be the first derivative of -11 + 2/51*n**3 - 4/17*n - 1/17*n**h. Factor g(l).
2*(l - 2)*(l + 1)/17
Let v = 3437208/11 - 312472. Factor 0*t + 2/11*t**4 + 4/11*t**3 - v*t**2 + 0.
2*t**2*(t - 2)*(t + 4)/11
Let p(o) be the second derivative of -62 + 20/3*o**3 + 13/3*o**4 - o + 1/5*o**5 - 48*o**2. Find q such that p(q) = 0.
-12, -2, 1
Let m = 8204/6039 + -646/549. Factor -16/11*p + m*p**2 + 30/11.
2*(p - 5)*(p - 3)/11
Factor 11*w**3 - 35*w**2 - 220 - 65*w**3 + 59*w**3 - 200*w.
5*(w - 11)*(w + 2)**2
Factor 184 + 286414*y**2 + 152 - 286452*y**2 + 298*y.
-2*(y + 1)*(19*y - 168)
Suppose -60*v + 405 = 45*v - 24*v. Let y(h) be the third derivative of 9*h**3 + 24*h**2 - 1/5*h**v - 3/8*h**4 + 0 + 0*h + 1/40*h**6. Factor y(c).
3*(c - 3)**2*(c + 2)
Let g(w) be the first derivative of -w**8/84 + 2*w**7/35 - w**6/10 + w**5/15 + w**2 - 21*w - 174. Let h(x) be the second derivative of g(x). Factor h(o).
-4*o**2*(o - 1)**3
Suppose 4*v - 4*c + 0*c = 4, -3*v + 11 = 5*c. Factor -232*x + x**2 + 256*x + 23 + 0*x**v.
(x + 1)*(x + 23)
Let m(n) = -8*n**2 - 299*n - 141. Let s(g) = g**2 + 35*g + 1. Let p(y) = 4*m(y) + 36*s(y). Suppose p(r) = 0. Calculate r.
-22, 6
Factor -1/10*b**3 + 41/10*b**2 + 1083/10 - 95/2*b.
-(b - 19)**2*(b - 3)/10
Let w(v) = 2*v**2 + 75*v - 31. Let z be w(-38). Let l = z + -7. Factor 0*a + 3/4*a**5 + 9/2*a**3 + l + 15/4*a**4 + 0*a**2.
3*a**3*(a + 2)*(a + 3)/4
Let b be (-152)/494 + 22237/1924. Factor 35/4 + 75/4*j + 5/4*j**3 + b*j**2.
5*(j + 1)**2*(j + 7)/4
What is o in -140*o**2 + 47*o**3 - 93/2 - 1/6*o**4 + 419/3*o = 0?
1, 279
Let j = 25438 - 25434. Let w be 3 - 12*(-2)/(-9). Solve 1/3*v**j - 1/3*v**2 + 0 + 1/3*v - w*v**3 = 0.
-1, 0, 1
Let s(d) = 6*d**3 - 62*d**2 + 60*d. Let j be -4*(-21)/(-28) - -1. Let k(q) = q**3 + q**2. Let r(o) = j*k(o) + s(o). Factor r(f).
4*f*(f - 15)*(f - 1)
Let b(z) be the third derivative of z**7/3780 + z**6/108 + 5*z**5/36 - 55*z**4/24 - 16*z**2 - 2. Let j(q) be the second derivative of b(q). Factor j(n).
2*(n + 5)**2/3
Let x be ((-348)/18)/(-2)*6 - -4. Suppose c + 3 = -3*g, -c + 3*g = x - 65. Factor -3/7*q**3 + 0 + c*q + 12/7*q**2.
-3*q**2*(q - 4)/7
Let s(v) = -15*v**3 + 810*v**2 - 1591*v + 788. Let a(y) = -5*y**3 + 270*y**2 - 531*y + 263. Let i(u) = 8*a(u) - 3*s(u). Factor i(d).
5*(d - 52)*(d - 1)**2
Factor -1/2*n**3 - 22 + 11/2*n**2 + 2*n.
-(n - 11)*(n - 2)*(n + 2)/2
Let t(z) = 3*z + 24. Let n be t(-7). Find g such that n*g**4 + 25*g + 6*g - 67*g - 21*g**2 + 18*g = 0.
-2, -1, 0, 3
Let d(l) be the first derivative of -l**4/12 + 650*l**3/9 - 1943*l**2/6 + 1294*l/3 + 5544. What is s in d(s) = 0?
1, 2, 647
Let d(o) be the third derivative of -o**7/70 - o**6/2 + 15*o**5/4 + 65*o**4/4 - 92*o**3 - 1958*o**2 - 3. Suppose d(l) = 0. Calculate l.
-23, -2, 1, 4
Let q be 42 + (17 - 16)*-11. Let m(o) be the first derivative of -1/27*o**6 + q - 16/45*o**5 + 0*o**3 + 0*o**2 - 8/9*o**4 + 0*o. Let m(s) = 0. Calculate s.
-4, 0
Suppose -3*y = -9, -3*x - 11*y = -14*y - 222. Factor -10 + 46*h**3 + 56*h**3 + 35*h - 45*h**2 - 5*h**4 - x*h**3.
-5*(h - 2)*(h - 1)**3
Let r(y) be the second derivative of 5*y**7/42 - 71*y**6/2 + 15123*y**5/4 - 1789555*y**4/12 - 540*y. Determine l so that r(l) = 0.
0, 71
Factor 25/6*g**2 + 1/2*g**3 + 22/3*g + 2.
(g + 2)*(g + 6)*(3*g + 1)/6
Let f(n) be the second derivative of 194481/5*n**2 + 441/5*n**4 - 12348/5*n**3 + 1/75*n**6 + 18*n - 42/25*n**5 + 0. Solve f(q) = 0.
21
Suppose -l - 4*f + f = 0, 4*l - 75 = 3*f. Let k be (-1)/5 - (0 + (-33)/l). Factor -3*v - 4 - 2 + 3*v**3 - 84*v**2 + 90*v**k.
3*(v - 1)*(v + 1)*(v + 2)
Let y(g) be the second derivative of -g**7/112 - 7*g**6/80 - 3*g**5/16 + 5*g**4/8 + 7*g**3/2 + 6*g**2 - 1961*g - 1. Suppose y(q) = 0. Calculate q.
-4, -2, -1, 2
Let d(h) be the first derivative of -h**4/4 + 17*h**3 - 99*h**2/2 + 49*h - 574. Factor d(a).
-(a - 49)*(a - 1)**2
Let i(q) = 4*q**2 - 725*q + 6. Let x(p) = 2*p**2 - 726*p + 4. Let w(c) = -4*i(c) + 6*x(c). Determine s, given that w(s) = 0.
-364, 0
Let o be 22/(-144) - 2/(-28)*(-30975)/(-5900). Find h, given that -10/3 - o*h**2 - 32/9*h = 0.
-15, -1
Suppose 2*o - o - 2 = 0. Suppose -79 = o*g - 7*g + c, -4*g - 2*c + 52 = 0. Factor -5*j**2 + 5*j**3 - 5*j - g*j + 23 - 3.
5*(j - 2)*(j - 1)*(j + 2)
Let r = 4873 - 4864. Let k(u) be the third derivative of 0 + 0*u + 0*u**3 - r*u**2 - 1/180*u**6 - 1/1008*u**8 + 0*u**4 + 0*u**5 - 1/210*u**7. Factor k(v).
-v**3*(v + 1)*(v + 2)/3
Let m(f) = 5*f**2 + 1578*f + 1638. Let y(n) = -2*n**2 - 788*n - 816. Let o(s) = 6*m(s) + 13*y(s). Solve o(z) = 0 for z.
-1, 195
Let f(y) = -945*y**2 - 465*y + 9. Let u(a) = 1889*a**2 + 930*a - 16. Let j(x) = -5*f(x) - 3*u(x). Factor j(v).
-3*(2*v + 1)*(157*v - 1)
Let f(a) be the third derivative of -a**6/80 - a**5/2 + 603*a**4/16 - 1539*a**3/2 + 24*a**2 - a. Factor f(m).
-3*(m - 9)**2*(m + 38)/2
Suppose -246*g + 2296 = -164*g. Let v(r) = -r**2 + 8*r + 9. Let j(c) = 1 - 3 + c + 3. Let n(z) = g*j(z) - 4*v(z). Find w such that n(w) = 0.
-1, 2
Let 878 - 1288*f**3 - 761*f**3 - 785*f**2 - 134*f**3 - 10*f**5 + 243*f**3 - 585*f**4 + 2220*f + 222 = 0. What is f?
-55, -2, -1/2, 1
Suppose -n - 36 = -53. Factor -531 - 19*c**2 + n*c**2 - 88*c - 437.
-2*(c + 22)**2
Let p(h) be the first derivative of -h**3/12 - 5*h**2/4 - 4*h - 2068. Solve p(w) = 0.
-8, -2
Let f be (212/18)/1 + 98/441. Solve -f*t**3 + 73*t**2 - 38*t**2 + 6*t**5 + 15*t**4 - 44*t**2 = 0.
-3, -1/2, 0, 1
Let y(x) = -1 + 5*x**3 + 149*x**2 - 3*x + 153*x**2 - 312*x**2 + 4*x. Let i(h) = h**3 + 2*h**2 + h - 1. Let w(g) = -i(g) + y(g). Solve w(f) = 0 for f.
0, 3
Suppose 87*s - 5*l - 51 = 83*s, 4*l + 36 = 2*s. Find n such that 3/4*n**2 - 3/2*n - 3/4*n**s + 0 + 3/2*n**3 = 0.
-1, 0, 1, 2
Let c(f) be the third derivative of f**8/1344 + 2*f**7/63 + 4*f**6/9 + f**4/3 - 3*f**2 - 7. Let g(y) be the second derivative of c(y). Factor g(s).
5*s*(s + 8)**2
Let -3/5*t**2 - 453/5 - 456/5*t = 0. What is t?
-151, -1
Let u(c) be the first derivative of -c**5/300 + 2*c**4/5 - 96*c**3/5 - 69*c**2/2 - 87. Let j(r) be the second derivative of u(r). Factor j(k).
-(k - 24)**2/5
Let i(m) = -m**2 + 30*m - 142. Let g be i(6). Let c be 1*(0 + (-22)/(-2)). Factor c*w + 7*w - 11 + 6*w**g + 26 - 3*w**2.
3*(w + 1)*(w + 5)
Let i be -30*((-112)/(-420))/(1/3). Let h be i/5 - (-73 + 67). Factor 3/5*g**2 + 3/5 - h*g.
3*(g - 1)**2/5
Let m(y) = -y**3 + 13*y + 3. Let f(c) = -8*c**3 + 46*c**2 - 202*c + 494. Let w(o) = f(o) - 10*m(o). Find b, given that w(b) = 0.
-29, 2, 4
Let f(w) = 10*w**2 + 13*w - 9. Let b be 1520/(-36) - (-4)/18. Let k be (14/b)/((-2)/42). Let o(d) = -7*d**2 - 9*d + 6. Let g(h) = k*o(h) + 5*f(h). Factor g(q).
(q - 1)*(q + 3)
Let n(r) = -3*r**2 + 3445*r + 10364. Let u be n(-3). Factor 144/5*t**u + 14/5*t**3 - 114/5*t - 44/5.
2*(t - 1)*(t + 11)*(7*t + 2)/5
Suppose -64353*w - 4*z + 70 = -64348*w, z - 7 = 4*w. Suppose 0 + 7/2*g**3 - 2*g**w + 0*g - g**4 - 1/2*g**5 = 0. What is g?
-4, 0, 1
Let h be (-8)/14 + 195/35. Let i(o) be the second derivative of 2/21*o**4 - 1/70*o**h + 0 - 2*o - 5/21*o**3 + 2/7*o**2. Suppose i(s) = 0. Calculate s.
1, 2
Suppose 3*d = 7*d - 3*t - 132, -2*d + 5*t = -80. Factor 6*r**2 + 4*r**5 - 19*r**5 - d*r**3 + 10*r**3 - 7*r**3 + 36*r**4.
-3*r**2*(r - 1)**2*(5*r - 2)
Let j(c) be the third derivative of -c**6/360 + 13*c**5/90 - 13*c**4/6 + 12*c**3 + 2*c**2 - c - 168. Factor j(d).
-(d - 18)*(d - 6)*(d - 2)/3
Suppose 3 = 27*r - 26*r. Factor r*w**2 - 23*w**2 + 15*w**2 + 5*w**4.
5*w**2*(w - 1)*(w + 1)
Let p = -2296 - -2295. Let f(o) = 5. Let b(g) = 1. Let u(j) = -4*b(j) + f(j). Let l(z) = 8*z**2 + 12*z. Let k(y) = p*l(y) - 4*u(y). Solve k(s) = 0.
-1, -1/2
Let d(i) = 2*i**3 + 3*i**2 - 6*i - 3. Let z be d(3). Suppose -8 + z = 4*b. Factor 21 - b - 14*q - 36*q**2 - 14*q.
-4*(q + 1)*(9*q - 2)
Let l(b) be the first derivative of 83 - 10*b**2 + 5*b**3 + 0*b + 5/4*b**4. Factor l(m).
5*m*(m - 1)*(m + 4)
Let q(z) be the second derivative of -z**6/180 + 133*