4 - 9*w**2 - w**4 + 12*w**3 + 12*w**2 - 3*w**4 + 13*w**2.
2*w**2*(w + 2)*(w + 4)
Factor 16/3*j**2 - 82/15*j + 0 + 2/15*j**3.
2*j*(j - 1)*(j + 41)/15
Suppose 6*o + g - 1 = 5*o, 4*g - 7 = -5*o. Let n(f) be the third derivative of 0 + 0*f + 0*f**o + 1/6*f**4 - 1/30*f**5 - 4*f**2. Factor n(l).
-2*l*(l - 2)
Factor 17/8*j**2 + 3/8*j**4 + 5/2*j**3 + 2 - 7*j.
(j - 1)*(j + 4)**2*(3*j - 1)/8
Let c be (-5 - 52/(-8))*(7/(-6) + 2). Factor k - c*k**2 + 0 + 1/4*k**3.
k*(k - 4)*(k - 1)/4
Suppose 42 = -3*z + 10*z. Suppose -4*y + z = -10. Factor 3/4*g**y - 3/4*g**2 - 3/2*g + 0 + 3/2*g**3.
3*g*(g - 1)*(g + 1)*(g + 2)/4
Let z(k) = k**4 - k**2 - 2. Let h(u) = -3*u**4 + 99*u**3 + 285*u**2 + 273*u + 102. Let v(o) = h(o) + 6*z(o). What is m in v(m) = 0?
-30, -1
Factor 4*x**4 + 50*x + 34*x**3 - 7*x**4 + 26*x**3 + 12 + 23*x**4 + 2*x**5 + 80*x**2.
2*(x + 1)**4*(x + 6)
Suppose 42 + 0 = 7*z. Factor 2 + 2 - z*c**2 - 2*c + 2*c**4 + c**3 + 0*c**3 + c**3.
2*(c - 1)**2*(c + 1)*(c + 2)
Let y(c) be the second derivative of -c**6/135 + c**5/45 - c**4/54 - 13*c. Find r, given that y(r) = 0.
0, 1
Let j(a) = -4*a**3 + 2*a**2 - a + 2. Let m be j(2). Let v = -22 - m. Solve 6 + 10*c - 3*c**3 - 3*c + v*c = 0.
-1, 2
Suppose -3*n = -n - 12. Factor 10*x**2 - 5*x**2 - 7*x**2 - n*x.
-2*x*(x + 3)
Let r = 6856/9 + -761. Let f(z) be the second derivative of 0 - 1/45*z**6 + 5*z - r*z**3 - 2/3*z**2 - 1/2*z**4 - 1/6*z**5. What is t in f(t) = 0?
-2, -1
Let g(j) be the second derivative of -j**6/270 + j**5/120 + j**4/72 - j**3/6 + 16*j. Let s(c) be the second derivative of g(c). What is l in s(l) = 0?
-1/4, 1
Let t(l) be the first derivative of 17 - 11/20*l**5 - 1/8*l**2 - 1/12*l**3 + 0*l + 9/16*l**4 + 1/6*l**6. Factor t(h).
h*(h - 1)**3*(4*h + 1)/4
Let x(b) = 4*b**2 - 4*b + 5. Let j(g) be the first derivative of -g + 7. Let h(q) = -5*j(q) - x(q). Find c, given that h(c) = 0.
0, 1
Let l = -3641/9 - -405. Let s be (-4)/22 + 528/242. Suppose -2/3*y - 2/9*y**s - l = 0. What is y?
-2, -1
Let h(t) be the first derivative of 2/21*t**6 - 2/7*t**4 + 0*t**5 + 2 + 0*t**3 + 2/7*t**2 + 0*t. Solve h(n) = 0.
-1, 0, 1
Let z(s) be the second derivative of s**6/50 - 3*s**5/50 - 97*s. Factor z(q).
3*q**3*(q - 2)/5
Let q(i) be the second derivative of -i**4/42 - 25*i**3/21 - 46*i**2/7 - 133*i. Factor q(v).
-2*(v + 2)*(v + 23)/7
Let b(m) be the first derivative of -m**7/168 + m**6/72 + m**3 - 20. Let l(d) be the third derivative of b(d). Suppose l(h) = 0. Calculate h.
0, 1
Let l(p) = -11*p**2 - 236*p + 232. Let u(m) = -24*m**2 - 474*m + 463. Let w(y) = -7*l(y) + 3*u(y). Factor w(x).
5*(x - 1)*(x + 47)
Let g(y) = -7*y**3 + 91*y**2 - 1536*y + 8212. Let b(w) = -8*w**3 + 90*w**2 - 1536*w + 8216. Let s(o) = -5*b(o) + 6*g(o). Factor s(v).
-2*(v - 16)**3
Let j = 61/228 - 1/57. Let i(f) be the first derivative of f**2 - j*f**4 - 1/3*f**3 - 4 + 0*f. Factor i(s).
-s*(s - 1)*(s + 2)
Let i(b) be the first derivative of -242*b - 22*b**2 - 2/3*b**3 - 19. Let i(c) = 0. Calculate c.
-11
Let m(g) = 9*g**3 + 132*g**2 + 30*g - 3. Let q(d) = 8*d**3 + 131*d**2 + 29*d - 4. Let p(h) = -4*m(h) + 3*q(h). Determine f, given that p(f) = 0.
-11, -1/4, 0
Let d(n) be the first derivative of n**7/504 + n**6/108 + n**5/72 - 16*n**3/3 - 1. Let a(q) be the third derivative of d(q). Solve a(w) = 0 for w.
-1, 0
Let y be ((1 - -1) + -2)/(-1). Suppose -3*x = 5*v - 5*x - 75, -2*x = y. Determine c, given that 20*c + c + v*c**2 + 4*c - 10 = 0.
-2, 1/3
Let c = -132 - -148. Suppose 0 = -c*h + 18*h. Let 1/3*o**4 - 1/6*o**5 + 0 + h*o**3 - 1/3*o**2 + 1/6*o = 0. What is o?
-1, 0, 1
Let p(o) be the first derivative of -o**3/7 + 9*o**2/7 - 27*o/7 - 175. Factor p(c).
-3*(c - 3)**2/7
Suppose 3/2*a**2 - 11/2*a - 1/2*a**4 + 3 + 3/2*a**3 = 0. What is a?
-2, 1, 3
Suppose -4*m + 55*f = 57*f, -4*m + 24 = -4*f. Suppose -a = -1 - 2. Find g such that -5*g**a - 2*g + m + g**4 - 4*g + 9*g**2 - g = 0.
1, 2
Determine i, given that 24*i**3 - 119*i**4 + 29*i**2 + 122*i**4 + 19*i**2 = 0.
-4, 0
Let l(d) be the first derivative of 0*d + 17 - 7/2*d**2 + 1/3*d**3. Factor l(v).
v*(v - 7)
Let t(z) be the second derivative of z**5/30 + z**4/6 - z**3 + 5*z**2/3 - 22*z - 1. Solve t(b) = 0.
-5, 1
Let c = 16 - 13. Suppose g + c*g - 8 = 0. Factor 6*j - 2 + 44*j**g - 47*j**2 + 2.
-3*j*(j - 2)
Let g be ((-354)/132 + 2/11)/((-1045)/627). Factor g*q**2 + 0 + 0*q - 1/6*q**3.
-q**2*(q - 9)/6
Let o(f) = -4*f**2 - 143*f + 119. Let d(s) = -2*s**2 - 74*s + 60. Let r(l) = 7*d(l) - 4*o(l). Let r(v) = 0. What is v?
-28, 1
Suppose 4*x + a - 5 = 7, -4*x = -a - 4. Factor -4*l + 30 + 2*l**2 + 0*l**x - 16 - 20.
2*(l - 3)*(l + 1)
Let s be (-29997)/7500 + (3 + 1)*1. Let h = 60007/17500 - s. Factor h*p + 2*p**2 - 8/7.
2*(p + 2)*(7*p - 2)/7
What is p in 6*p - 2*p + 2*p**2 + 13*p**2 - p**3 - 18*p**2 = 0?
-4, 0, 1
Let h be (-12)/54 - (-1)/(18/58). Factor -h*x + 3*x**3 + 41 - 74 - 3*x**2 + 36.
3*(x - 1)**2*(x + 1)
Let b be (-28 + 26)/((-4)/282). Let r = b - 138. Factor -j + 0*j**2 + 1/3*j**r + 2/3.
(j - 1)**2*(j + 2)/3
Let h(n) be the second derivative of -n**7/315 - 11*n**6/225 + 2*n**5/75 + 22*n**4/45 + 2*n - 16. Solve h(p) = 0.
-11, -2, 0, 2
Let z = -43 - -43. Determine v, given that 10*v**2 - 6*v**2 + z*v**4 + v**4 - 4*v**3 = 0.
0, 2
Let k(m) be the first derivative of -m**4 + 26*m**3 - 87*m**2 + 68*m - 222. Factor k(f).
-2*(f - 17)*(f - 2)*(2*f - 1)
Let m(q) be the third derivative of -q**5/24 - 655*q**4/24 - 85805*q**3/12 + 294*q**2. Factor m(k).
-5*(k + 131)**2/2
Let h(w) = w**2 + 4*w + 2. Let q(c) = -c**3 - 4*c**2 + c. Let u be q(-4). Let p be h(u). Factor g**2 - 5*g**p + 2*g**2 + 0 + 2.
-2*(g - 1)*(g + 1)
Let d(i) = -i**2 + 20*i - 49. Let f be d(17). Let z be 9/2 - (-39)/(-13). Find p such that 1/2*p**f - z + p = 0.
-3, 1
Let -1/5*g**5 - 9/5*g**2 + 0 + 1/5*g**3 + 9/5*g**4 + 0*g = 0. What is g?
-1, 0, 1, 9
Suppose 3*b = 2*r - 8 - 11, -24 = -2*r + 4*b. Factor -35*a**2 + 7*a**3 - 32*a**2 + 65*a**r.
a**2*(7*a - 2)
Let h(z) = -z**2 + 20*z - 14. Let n be h(19). Suppose -4*o = o + 5, -2*j - n*o = 1. Factor j + 1/2*w**2 + 5/2*w.
(w + 1)*(w + 4)/2
Let q(u) be the second derivative of -u**6/60 - 3*u**5/4 - 157*u**4/24 + 85*u**3 - 289*u**2 - 4*u + 3. Factor q(k).
-(k - 2)**2*(k + 17)**2/2
Factor 44/5*l - 48/5*l**2 - 4*l**3 + 24/5.
-4*(l - 1)*(l + 3)*(5*l + 2)/5
Let b be (-5 + 1)/(1/5*-2). Suppose -11*j**2 - b*j**3 - 3*j**3 + j**3 - 5*j**2 + 4*j**4 = 0. Calculate j.
-1, 0, 4
Let c(y) be the third derivative of y**8/1008 - y**7/315 - y**6/120 + y**5/45 + y**4/18 - 135*y**2 - 1. Determine h, given that c(h) = 0.
-1, 0, 2
Let v be 2 + 13 + 0 - (1 + 1). Let c(b) = -5*b**2 + 9*b + 8. Let f(d) = -11*d**2 + 19*d + 17. Let j(g) = v*c(g) - 6*f(g). Factor j(r).
(r + 1)*(r + 2)
Let h(d) be the first derivative of -1/20*d**5 - 1/8*d**4 + 0*d**2 + 9 - 1/12*d**3 + 0*d. Factor h(c).
-c**2*(c + 1)**2/4
Factor 162/11*c + 38/11*c**3 + 0 - 2/11*c**4 - 18*c**2.
-2*c*(c - 9)**2*(c - 1)/11
Let x(s) = 4 + 9 - s + 1. Let m be x(11). Factor o**2 - m*o**3 - 10*o - 3*o**2 - o**3 + 12*o.
-2*o*(o + 1)*(2*o - 1)
Let b = -187 - -192. Let k = -1 + 7. Factor b*x**2 - x**2 - k*x**3 + 2*x**3.
-4*x**2*(x - 1)
Let s(f) be the second derivative of 0 - 11/84*f**4 - 3/140*f**5 - 2/7*f**3 - 2/7*f**2 - 11*f. Factor s(o).
-(o + 1)*(o + 2)*(3*o + 2)/7
Let f = -6463 - -19394/3. Factor -9*h**2 - 10/3*h - f*h**3 + 0.
-h*(h + 5)*(5*h + 2)/3
Let u(w) be the first derivative of -11 + 1/4*w**2 + 3/4*w**4 + 1/4*w**5 + 0*w + 3/4*w**3. Factor u(r).
r*(r + 1)**2*(5*r + 2)/4
Let z = 0 - -4. Suppose -14 - 2 = -2*n. Determine g so that -3*g**z - g**3 - 3*g**2 - 3*g**2 - n*g**3 = 0.
-2, -1, 0
Let l(c) = 3*c**2 - 36*c - 2. Let a be l(12). Let o be a/5 - (-166)/15. Factor 2/3*j**2 + o - 16/3*j.
2*(j - 4)**2/3
Let h(s) be the first derivative of 0*s + 5/2*s**4 + 4*s**2 - 16/3*s**3 - 13 - 2/5*s**5. What is f in h(f) = 0?
0, 1, 2
Let j(s) be the third derivative of 3*s**8/2240 - s**7/560 - s**6/480 - s**3/2 - 11*s**2. Let m(o) be the first derivative of j(o). Factor m(b).
3*b**2*(b - 1)*(3*b + 1)/4
Let d(j) be the second derivative of -j**6/15 - 3*j**5/10 - j**4/2 - j**3/3 - 8*j. Suppose d(m) = 0. What is m?
-1, 0
Let m = -436 + 1312/3. Factor -1/3*o**2 - 4/3*o - m.
-(o + 2)**2/3
Let q(f) = 19*f**5 + 31*f**4 + 6*f**3 - 8*f**2 + 2*f + 2. Let c(h) = h**5 - h**4 - h**3 + 2*h**2 - h - 