. Factor v(w).
5*w*(w + 1)**2*(5*w - 2)/3
Find l such that -5910*l**2 + 11819*l**2 + 65*l + 66 - 5910*l**2 = 0.
-1, 66
Let v(o) be the first derivative of o**6/14 + 18*o**5/35 + 39*o**4/28 + 12*o**3/7 + 6*o**2/7 - 91. Find r such that v(r) = 0.
-2, -1, 0
Let n = 24 - 22. Factor 18*c**2 + 3*c**3 + n*c + 0 - 23*c**2 + 0.
c*(c - 1)*(3*c - 2)
Let m be (216/180)/(0 - 2/40). Let h be m/(-36)*6/8. Determine x so that x**3 + h + 11/4*x + 13/4*x**2 = 0.
-2, -1, -1/4
Suppose -2*k - 3*x + 351 = 71, -x - 420 = -3*k. Let n be (-12)/(8/2) + k/44. Factor n*y + 0 + 2/11*y**2.
2*y*(y + 1)/11
Let m(g) = g + 9. Let q be m(-9). Suppose -5*l - 5*j + 35 = q, 5*l + 3*j - 27 = -0*j. Find u such that -u**l + 2*u**4 - 2*u + 13 - 3*u**2 - 2*u**2 - 13 = 0.
-1, -1/2, 0, 2
Let h(f) be the third derivative of -f**8/4032 - f**7/504 - f**5/20 - 10*f**2. Let s(m) be the third derivative of h(m). What is j in s(j) = 0?
-2, 0
Let s(f) be the second derivative of f**4/12 - f**3/2 + f**2 - 117*f. Factor s(r).
(r - 2)*(r - 1)
Let l(k) = -3*k**4 + 43*k**3 - 36*k**2 - 2*k - 4. Let c(b) = 39*b**4 - 561*b**3 + 468*b**2 + 27*b + 54. Let h(p) = 2*c(p) + 27*l(p). Solve h(j) = 0 for j.
0, 1, 12
Let a be (-402)/130 + (-4 - -8) + (-96)/160. Solve -a*t + 18/13*t**2 + 0 = 0 for t.
0, 2/9
Suppose -4*x = -h - 11, h + 2 = 2*x - 1. Let j be ((-8)/h)/(6/(-15)). Factor 8*q**2 - 4*q**4 + j*q - 4 - 10*q**5 - 3*q**5 - 8*q**3 + 17*q**5.
4*(q - 1)**3*(q + 1)**2
Let x = 33 + -29. Determine w so that -w**4 + 0*w**x + 7*w**4 + 24*w + 18*w**3 - 3*w**4 + 36*w**2 = 0.
-2, 0
Suppose 0 = 10*u - 8*u - 48. Factor -u - 70*x**2 - 20*x + 16*x - 92*x**2 + 112*x + 81*x**3.
3*(3*x - 2)**3
Suppose -t - 4 = 0, 2*m + 2*t = -3*m + 7. Suppose m*c - 10 = 4*g, 4*c - 7 = 3*c + 5*g. What is u in -2/5*u**c - 4/5 - 6/5*u = 0?
-2, -1
Let w(x) be the third derivative of -4/15*x**5 + 2/15*x**6 + 0*x + 0 + 1/6*x**4 + 17*x**2 + 0*x**3. Factor w(t).
4*t*(2*t - 1)**2
Factor -9/10*d**3 + 0*d + 1/10*d**5 + 4/5*d**4 + 0 + 0*d**2.
d**3*(d - 1)*(d + 9)/10
Let x = 24 - 19. Suppose -2*w + x = -3. Suppose -w*f + 35 - 43 - 4*f - 2*f**2 = 0. What is f?
-2
Let u(f) be the third derivative of -f**6/72 + f**5/12 - f**3/2 + 13*f**2. Let t(g) be the first derivative of u(g). What is d in t(d) = 0?
0, 2
Let l(m) = 2*m**3 - m. Let r(d) = -d**3 - d**2 + d. Let c(u) = u - 8. Let t be c(5). Let x(g) = t*l(g) - 3*r(g). Solve x(p) = 0 for p.
0, 1
Let f be -1946*5/750 + 13. Let h(x) be the second derivative of 0*x**5 + 0*x**3 - 2/105*x**7 + 0 + 0*x**2 - 9*x + f*x**6 + 0*x**4. Factor h(k).
-4*k**4*(k - 1)/5
Let a be 2/8 - (-75)/20. Suppose -2*d + 11 = -d. Factor 12*w + 1 - a - 2*w**2 + d + 6*w**2.
4*(w + 1)*(w + 2)
Suppose 560 = 5*k - 630. Let j be 3 - 0 - 574/k. Determine y so that -4/17*y**3 - j*y**4 + 0*y - 6/17*y**5 + 0*y**2 + 0 = 0.
-1, -2/3, 0
Suppose -5*n + 12 = 3*q - 2*n, 5*q - 14 = n. Let f(a) be the second derivative of 5*a**2 + 0 + 1/30*a**4 - 2/3*a**q + 12*a. Factor f(w).
2*(w - 5)**2/5
Let a(k) be the second derivative of k**7/84 - k**6/60 - k**5/20 - 437*k. Factor a(l).
l**3*(l - 2)*(l + 1)/2
Let l(q) be the second derivative of -q**6/18 + 5*q**4/3 + 40*q**3/9 - 239*q. Factor l(a).
-5*a*(a - 4)*(a + 2)**2/3
Let t(r) = r**2 + 22*r + 11. Let m be t(-19). Let s = m + 46. Determine p so that 0*p + s + 1/5*p**2 = 0.
0
Let p be (-428)/(-1070) - (-96)/110. What is m in -49/11 - 1/11*m**2 - p*m = 0?
-7
Let a(d) = 2*d**2 + d. Let k be ((-2436)/54 - -5) + (-1)/(-9). Let s(j) = -13*j**2 - 4*j - 4. Let y(u) = k*a(u) - 5*s(u). Determine c so that y(c) = 0.
-2, 2/3
Let y(c) be the second derivative of -3*c**5/20 - c**4/2 - c**3/2 - 52*c. What is x in y(x) = 0?
-1, 0
Let t(h) be the third derivative of -h**8/420 - h**7/1050 + h**6/50 + 11*h**5/300 + h**4/60 - h**2 + 3. Let t(z) = 0. What is z?
-1, -1/4, 0, 2
Let v be (5/(-72) + 3/36)*-14*-8. Factor -v*n**2 - 2*n**3 - 4/9*n + 0 - 2/9*n**5 - 10/9*n**4.
-2*n*(n + 1)**3*(n + 2)/9
Suppose 0 = 2*f + 4, -109*c - 3*f - 9 = -110*c. Factor 27/2 + 1/6*o**2 - c*o.
(o - 9)**2/6
Let g = -16736 + 184124/11. Determine v, given that 56/11*v**3 + 94/11*v**2 + g*v + 0 - 10/11*v**4 = 0.
-1, -2/5, 0, 7
Let y = -33374248/275365 + 2/55073. Let m = y - -122. Factor -m + 0*d**2 + 2/5*d**3 - 6/5*d.
2*(d - 2)*(d + 1)**2/5
Let t(c) = -c**2 - 1. Let b(n) = 12*n**5 + 16*n**4 + 4*n**3 - 16*n**2 - 16. Let m(k) = b(k) - 16*t(k). Let m(f) = 0. What is f?
-1, -1/3, 0
Let o(k) be the third derivative of -1/24*k**4 - 1/60*k**5 + 4*k**2 + 0*k + 0*k**3 + 1/120*k**6 + 1/210*k**7 + 0. Let o(b) = 0. Calculate b.
-1, 0, 1
Suppose c - 2 = -0*c. Let q be -2*((-50)/(-30) + -2). Determine x, given that 0*x**c + 2/3*x + 0 - q*x**3 = 0.
-1, 0, 1
Let j(w) be the third derivative of w**6/120 + 8*w**5/5 + 128*w**4 + 16384*w**3/3 - 210*w**2. Determine r, given that j(r) = 0.
-32
Let f(h) be the third derivative of -h**6/120 + h**5/12 + h**4/3 - 2*h**3 - 45*h**2. Factor f(z).
-(z - 6)*(z - 1)*(z + 2)
Let g(m) be the second derivative of m**6/70 + 3*m**5/28 + m**4/7 - 172*m. Find f such that g(f) = 0.
-4, -1, 0
Factor -17/3 - 1/3*q**2 + 6*q.
-(q - 17)*(q - 1)/3
Factor 0*r**2 + 9/4*r**3 + 0 - 3*r - 3/4*r**4.
-3*r*(r - 2)**2*(r + 1)/4
Let k = -13 - -19. Suppose -z + 4 = -k. Factor -w**2 - 3*w + z - 11 + w.
-(w + 1)**2
Let o(m) be the first derivative of -m**6/660 + 2*m**5/165 - m**4/33 - 6*m**2 - 8. Let h(q) be the second derivative of o(q). What is r in h(r) = 0?
0, 2
Suppose 19*b**3 + 8*b - 6*b**4 - 24*b**2 - 323*b**5 - 6*b**4 + 325*b**5 + 7*b**3 = 0. Calculate b.
0, 1, 2
Let c(l) be the second derivative of -l**5/40 + l**4/12 + 11*l**3/12 - 3*l**2 - 69*l. Let c(o) = 0. What is o?
-3, 1, 4
Let 9 - 4*r - 10 - 2 - r**2 = 0. Calculate r.
-3, -1
Suppose -1089 + 69 = -85*o. Factor -o*a - 3/4*a**2 + 3/4*a**3 - 15.
3*(a - 5)*(a + 2)**2/4
Let m(p) be the second derivative of 3/8*p**4 - 1/2*p**3 + 0 - 6*p - 3/4*p**2. Find n, given that m(n) = 0.
-1/3, 1
Let d = 103735/7 + -14876. Let s = 57 + d. Factor -s*l**3 + 0 + 2/7*l**2 + 4/7*l.
-2*l*(l - 2)*(l + 1)/7
Find o such that -2/15*o**3 - 16/5*o**2 + 0 - 46/15*o = 0.
-23, -1, 0
Suppose 4*f = 5*f - 2. Suppose 0 = v - 3*i - 10, -f*v + 3 = i - 3. Factor o**3 + o**v + 7*o**4 - 2*o**3 - 6*o**5 + 3*o**3 - 4*o**2.
-2*o**2*(o - 1)**2*(3*o + 2)
Let h(d) be the second derivative of 0*d**2 + 1/24*d**3 + 1/48*d**4 - 11*d + 0. Factor h(k).
k*(k + 1)/4
Let h(r) = -r**3 - 2*r**2 - 3*r. Let y be 2 + -4 + 3 - -1. Let x(v) = -18*v**y + 4*v**2 + 8*v**2 - 1 - 10*v - 4*v**3. Let b(a) = 7*h(a) - 2*x(a). Factor b(o).
(o - 2)*(o - 1)*(o + 1)
Suppose 3*b - 12 = -0*b. Suppose -4*u + t + 1 = 0, 4 - 1 = -3*u + 2*t. Factor p**4 - 4*p**4 - p + b*p**4 - u - p + 2*p**3.
(p - 1)*(p + 1)**3
Suppose -4*r = -0*r + 2*s - 12, -3*r - s = -9. Let n(x) be the first derivative of 4*x - 1/8*x**4 - 5 - r*x**2 + x**3. Find l, given that n(l) = 0.
2
Suppose 2*n + 0*n + 6 = 4*v, 3*v + 3*n = -9. Suppose v = 3*b - d - 2, -3*d - 1 = -4*b + 5. Solve 0 + 8/3*c**4 + b*c**2 + 4/3*c**3 + 0*c + 4/3*c**5 = 0.
-1, 0
Suppose 3*c = s - 12, -s - 2*s - c = -6. Suppose -2*b + 2*g = s*b - 4, -3*b = 3*g + 6. Factor 0 + b*m - 1/4*m**2.
-m**2/4
Suppose 0 = -2*g - 2*g. Suppose 5*f - 11 + 1 = g. Find a, given that -15*a**4 - a**2 - a**5 + 27*a**3 - 14*a**2 - 6*a**f + 6*a + 4*a**5 = 0.
0, 1, 2
Find p, given that 5/4*p**5 - 5/2*p**3 + 5/4 + 5/4*p - 5/2*p**2 + 5/4*p**4 = 0.
-1, 1
Let j(s) = -20*s**4 - s**3 - 8*s**2 + 9*s + 6. Let x(p) = -2*p**4 + 2*p**3 - p**2 + p + 1. Let h(d) = -j(d) + 6*x(d). Solve h(a) = 0.
-1, 0, 3/8
Let m(w) be the second derivative of 5*w**4/12 - 10*w**2 - w - 26. Factor m(n).
5*(n - 2)*(n + 2)
Determine w so that 20*w**2 + 16*w**3 - 58*w - 62*w + 11*w**3 + 114*w + w**2 = 0.
-1, 0, 2/9
Factor 928/19*n + 16/19*n**4 + 744/19*n**2 - 128/19 + 10*n**3.
2*(n + 4)**3*(8*n - 1)/19
Suppose 61 - 44*z - 3*z**2 + 3*z**2 + 52 + 10 + z**2 = 0. Calculate z.
3, 41
Let i(k) be the first derivative of 2*k**3/21 + 8*k**2/7 + 2*k - 69. Let i(m) = 0. Calculate m.
-7, -1
Suppose 25*l - 10 = 27*l. Let a be l*(-11)/((-1925)/(-10)). Find i, given that 0 + 0*i + 2/7*i**4 + a*i**5 - 2/7*i**3 - 2/7*i**2 = 0.
-1, 0, 1
Factor 2/11*s**2 + 1058/11 + 92/11*s.
2*(s + 23)**2/11
Let i(p) = -p**2 + 1. Let h(x) = -3*x**2 + 6*x - 7. Suppose -r = -6*r + 40. Suppose r*o + 8 = 10*o. Let n(t) = o*i(t) - 2*h(t). 