Let g(k) = -3*k + 3. Let r(t) = 15*t - 15. Let m(s) = 33*g(s) + 6*r(s). Let a(v) = -3*d(v) - m(v). Factor a(l).
-3*(l - 2)*(l - 1)
Let l = -73/127 + 3343/1397. Factor 64/11*n - 2/11*n**4 + 0 - 64/11*n**2 + l*n**3.
-2*n*(n - 4)**2*(n - 2)/11
Let v(c) = -8*c**5 - 24*c**4 + 22*c**3 - 10*c - 10. Let m(f) = f**5 + f**4 - f**3 + f + 1. Let p(d) = 20*m(d) + 2*v(d). Factor p(x).
4*x**3*(x - 6)*(x - 1)
Factor -796*c + 680/3 + 28/3*c**2.
4*(c - 85)*(7*c - 2)/3
Determine l, given that -7/5*l + 0 - 1/5*l**2 = 0.
-7, 0
Factor 20*r**4 + 0 + 540*r**2 - 1215/2*r - 5/6*r**5 - 165*r**3.
-5*r*(r - 9)**2*(r - 3)**2/6
Let q be (-1*1 - (-268)/36) + -6. Factor 2/9*o**2 + q + 2/3*o.
2*(o + 1)*(o + 2)/9
Let z(t) be the first derivative of 5*t**3/24 - 23*t**2/16 - 5*t/4 + 69. Factor z(b).
(b - 5)*(5*b + 2)/8
Let h(i) = i**2 - 3*i - 6. Suppose 0 = -4*s + 2*s + 10. Let f be h(s). Factor -f*y**3 + 2*y**3 - 8*y**2 - 2*y**3.
-4*y**2*(y + 2)
Let u(x) = -x - 1. Let g(m) = 2*m - 8*m**2 + 1 + 2*m**2 + 5*m**2 + 2*m**2. Let w(r) = 3*g(r) + 6*u(r). Find j, given that w(j) = 0.
-1, 1
Let b be ((-4)/10)/(144/30 - 5). Let j(n) = n**4 + 9*n**3 + 20*n**2 - 25*n. Let p(d) = -d**2. Let q(o) = b*j(o) + 10*p(o). Factor q(f).
2*f*(f - 1)*(f + 5)**2
Let o(p) be the second derivative of 64*p**6/105 + 88*p**5/35 + 5*p**4/2 + 6*p**3/7 + 6*p - 9. Factor o(t).
2*t*(t + 2)*(8*t + 3)**2/7
Let h = 10053 - 30154/3. Suppose 0 + 5*n**2 + 0*n**3 - h*n**4 + 10/3*n = 0. What is n?
-1, 0, 2
Let y(u) be the third derivative of u**4/24 - u**3/6 - 23*u**2. Let z be y(3). Factor -1/2*h**3 + 1/2*h - 3/2 + 3/2*h**z.
-(h - 3)*(h - 1)*(h + 1)/2
Let n(h) be the second derivative of -5*h**4/12 + 5*h**3/6 + 30*h**2 - 7*h - 5. What is f in n(f) = 0?
-3, 4
Solve 4*s**2 + 4 - 11*s**2 - 17*s - 19*s - 12*s**2 = 0 for s.
-2, 2/19
Let m(f) be the second derivative of 1/2*f**3 - 6/5*f**2 - 1/20*f**4 + 0 - 6*f. Factor m(k).
-3*(k - 4)*(k - 1)/5
Suppose -11 = -2*f - r, -34 = -18*f + 15*f - 5*r. Factor 6/5 + 3/5*p**3 + 12/5*p**2 + f*p.
3*(p + 1)**2*(p + 2)/5
Let g(y) be the first derivative of -y**5/30 - y**4/12 + y**3/2 + y**2/6 - 4*y/3 + 295. Determine m so that g(m) = 0.
-4, -1, 1, 2
Let i(y) be the third derivative of y**6/72 - y**5/18 - 5*y**4/9 + 83*y**2. What is z in i(z) = 0?
-2, 0, 4
Let x be (-4)/(-26) - (-700)/182. Let j be (-3)/x - 63/(-12). Factor -3/2*c**2 - j - 6*c.
-3*(c + 1)*(c + 3)/2
Suppose 397 = 8*f - 730 + 95. Suppose 21/2*r**4 - 219/4*r**3 + f*r**2 + 48 - 3/4*r**5 - 132*r = 0. What is r?
1, 4
Let y = -88367/168 + 526. Let c(v) be the third derivative of 0 - 7*v**2 + 1/840*v**6 + 0*v + 1/42*v**3 - y*v**4 - 1/420*v**5. Factor c(d).
(d - 1)**2*(d + 1)/7
Let l be (12 - 12)*(-2)/6. Let d(z) be the second derivative of l + 3/5*z**5 + 0*z**2 + 2/3*z**4 + 2*z - 2/3*z**3. Factor d(r).
4*r*(r + 1)*(3*r - 1)
Let w(q) = q - 4. Let o(g) = -g**3 + 11*g**2 + 14*g - 14. Let l be o(12). Let j be w(l). Let -6 + 5*k - 2 - j*k - 50*k**2 - 39*k = 0. What is k?
-2/5
Suppose -6*k + 8*k - 78 = 0. Let n be (k/(-65))/(-1*1). Factor 2/5 + 1/5*w**2 - n*w.
(w - 2)*(w - 1)/5
Let w(t) = -t - 2. Let q be w(-6). Suppose 0 = g + g - q. Let -1/3*y**g + 0*y + 2/3*y**5 + 0 + 4/3*y**3 - 5/3*y**4 = 0. What is y?
0, 1/2, 1
Determine k so that 9/5 - 24/5*k + 16/5*k**2 = 0.
3/4
Let c(p) = p**4 - 36*p**3 + 2*p**2 + 766*p + 4. Let z(v) = v**4 - v**2 + v - 2. Let i(m) = -c(m) - 2*z(m). Factor i(j).
-3*j*(j - 8)**2*(j + 4)
Let z(f) be the first derivative of 23*f**4/7 - 4*f**3 - 4*f**2/7 + 122. Factor z(d).
4*d*(d - 1)*(23*d + 2)/7
Let p(k) be the third derivative of 0 + 17*k**2 + 1/60*k**5 - 1/210*k**7 + 0*k**3 + 1/120*k**6 + 0*k - 1/24*k**4. Determine c, given that p(c) = 0.
-1, 0, 1
Let y = 5611/14 + -801/2. Factor y*k**2 - 2/7*k - 4/7.
2*(k - 2)*(k + 1)/7
Let j(p) be the third derivative of 20/3*p**3 + 1/15*p**5 + 0*p - 11/6*p**4 + 0 + 25*p**2. Factor j(r).
4*(r - 10)*(r - 1)
Let b = 1507 - 1507. Let x(r) be the first derivative of 1/2*r**2 + b*r + 6 + 1/6*r**3. Factor x(l).
l*(l + 2)/2
Let j(o) = -2*o**4 + 8*o**3 - 13*o**2 + 7*o + 7. Let b(p) = -p**4 + 3*p**3 - 4*p**2 + 2*p + 2. Let y(h) = -14*b(h) + 4*j(h). Solve y(g) = 0.
0, 2/3, 1
Suppose 0 = -4*j + 5*v + 27 + 14, 3*v = -3*j - 3. Factor -6/7*z**2 + 10/7*z**3 - 2/7*z**5 + 0*z - 2/7*z**j + 0.
-2*z**2*(z - 1)**2*(z + 3)/7
Let t(f) be the second derivative of -1/4*f**5 - 5*f**2 - 1/12*f**6 + 5/3*f**3 + 5/8*f**4 - 6*f + 0. Suppose t(o) = 0. Calculate o.
-2, 1
Find a, given that -24/5 + 102/5*a**2 + 12/5*a + 57/5*a**3 - 24/5*a**4 - 3*a**5 = 0.
-2, -1, 2/5, 2
Factor 44 + 1/3*j**2 - 133/3*j.
(j - 132)*(j - 1)/3
Suppose 5*l - 33 - 12 = 0. Suppose -l*t + 4*t = -25. Factor 16*s**t + 7*s**4 + s**4 + 4*s**3 - 12*s**5.
4*s**3*(s + 1)**2
Let -47*w + 3*w + 7*w**2 - 12*w**2 - 331 + 17*w**2 + 51 = 0. Calculate w.
-10/3, 7
Let o(u) be the third derivative of 10*u**2 + 3/560*u**8 + 0*u - 39/100*u**5 - 17/350*u**7 - 2/5*u**3 + 37/200*u**6 + 1/2*u**4 + 0. Find x, given that o(x) = 0.
2/3, 1, 2
Let b(u) = -u**3 + u**2 + 2*u + 1. Let f be b(2). Let k = f - -1. Solve -8*t + 0*t**3 - 6*t**3 - 6*t**k - 2*t**4 + 6*t = 0 for t.
-1, 0
Let n(w) be the first derivative of -w**5/330 - w**4/33 - w**3/11 + 13*w**2/2 - 7. Let y(l) be the second derivative of n(l). Find j, given that y(j) = 0.
-3, -1
Factor -4*h + 38 + 154*h**2 - 170*h**2 - 4*h**3 - 14.
-4*(h - 1)*(h + 2)*(h + 3)
Let c(g) be the first derivative of -2/7*g**2 - 2/7*g**3 + 5/14*g**4 + 0*g + 15. Let c(h) = 0. Calculate h.
-2/5, 0, 1
Let m(a) be the third derivative of a**6/10 - 4*a**5/15 - a**4/6 + 4*a**3/3 - 101*a**2. Factor m(c).
4*(c - 1)**2*(3*c + 2)
Let k(u) = -u**3 + 7*u**2 + 5. Let a be k(7). Let n be 18/5 - 2/(-5). Factor -16 - 4*r - 9*r + 2*r - a*r - n*r**2.
-4*(r + 2)**2
Let m(t) = -3*t**2 - 7*t + 5. Let i(g) = 2 - 14*g**2 + 6*g**2 + 7*g**2 - 3*g. Let r(f) = -10*i(f) + 4*m(f). Factor r(q).
-2*q*(q - 1)
Let q(f) be the second derivative of -3/20*f**5 - 3 + 1/14*f**7 + 0*f**4 + 0*f**2 - 8*f + 0*f**3 + 0*f**6. Factor q(n).
3*n**3*(n - 1)*(n + 1)
Let b(a) be the first derivative of -24*a - 10 + 4*a**2 - 2/9*a**3. Determine z so that b(z) = 0.
6
Let s = 149 - 94. Factor -30*l**5 + s*l**5 - 27*l**5 + 2*l**3.
-2*l**3*(l - 1)*(l + 1)
Suppose 0 = -12*a + 11*a + 20. Let g = 30 - a. What is o in -o**4 - 12*o**4 - 10*o**3 + 5*o**5 + 3*o**4 + 40*o**2 + g - 35*o = 0?
-2, 1
Let w(v) be the third derivative of v**5/120 + v**4/24 + v**3/12 + 434*v**2. Solve w(j) = 0 for j.
-1
Let y(k) be the first derivative of -2/27*k**3 - 14/9*k - 8/9*k**2 + 40. Factor y(h).
-2*(h + 1)*(h + 7)/9
Let s(v) = -v**5 - 3*v**4 + 3*v**3 + 7*v**2. Let k(p) = p**5 + 3*p**4 - 2*p**3 - 6*p**2. Let c(f) = 3*k(f) + 2*s(f). What is h in c(h) = 0?
-2, 0, 1
Let w(m) be the third derivative of -m**5/210 + m**4/84 + 4*m**3/7 - 26*m**2. Let w(r) = 0. What is r?
-3, 4
Let s(g) be the third derivative of -g**6/120 - 17*g**5/20 - 289*g**4/8 - 4913*g**3/6 + 10*g**2 + 1. Factor s(m).
-(m + 17)**3
Factor -64/5 - 8/5*v + 4*v**2.
4*(v - 2)*(5*v + 8)/5
Let j(s) be the first derivative of 93*s**4/4 - 61*s**3 + 87*s**2/2 + 3*s - 777. Factor j(a).
3*(a - 1)**2*(31*a + 1)
Suppose -4*w**5 - 1290*w**2 + 128*w**4 - 570*w**3 + w**5 - 1155*w - 363 - 203*w**4 = 0. What is w?
-11, -1
Let w = 152 - 108. Find p such that 4*p - 12*p - 16*p**3 - 36*p**4 + w*p**2 - 31*p**3 - p**3 = 0.
-2, 0, 1/3
Let a = -145/53 - -1121/371. Solve 10/7*h + 0 - a*h**2 = 0 for h.
0, 5
Let r(t) be the first derivative of -4*t**5/5 - 6*t**4 - 44*t**3/3 - 12*t**2 - 421. Factor r(i).
-4*i*(i + 1)*(i + 2)*(i + 3)
Let u be (2 + 0)*(-11)/(33/6). Let h be u/(-8)*(0 + (-4)/(-3)). Let 4/3*y - h - 2/3*y**2 = 0. What is y?
1
Let v(z) be the first derivative of -z**4/2 + 10*z**3 - 63*z**2 + 98*z - 31. Factor v(l).
-2*(l - 7)**2*(l - 1)
Suppose 1 + 2 = a. Factor -10*w - 3*w**3 + 79*w**4 - 69*w**a - 75*w**2 - 48*w**3 + w**4.
5*w*(w - 2)*(4*w + 1)**2
Let p(j) = j**3 + 34*j**2 + 410*j + 1301. Let i(n) = n**2 + 2*n - 7. Let a(y) = 3*i(y) + p(y). Factor a(o).
(o + 5)*(o + 16)**2
Determine z, given that -155*z**2 + 258 + 0*z**3 - 1049*z - 306*z + 644*z**2 + 12*z**3 + 200*z = 0.
-43, 1/4, 2
Find g, given that -8*g**2 - g + 8*g**4 - 28*g**3 + 30*g**5 - 4*g - 3*g - 8*g**3 + 14*g = 0.
-1, -3/5, 0, 1/3, 1
Let b(j) be the second derivative of 3*j**5/100 + 2*j**4/5 + 21*j