 d(i). Factor c(h).
(h - 1)*(h + 1)
Suppose -4*y + 0*y = -68. Factor 25*v**2 + 10*v + v**4 + 2*v**4 - 2*v**3 - 5*v**5 + y*v**3 - 8*v**4.
-5*v*(v - 2)*(v + 1)**3
Let a be 26/(-2)*(-345)/1495. What is n in 14/11*n**2 - 4/11*n + 0 - 6/11*n**a = 0?
0, 1/3, 2
What is v in 8/9 - 10/9*v + 2/9*v**2 = 0?
1, 4
Let w be 48/18*6/20. Let p be 25/(825/22)*12/20. Suppose p*c**2 + 0 + w*c = 0. What is c?
-2, 0
Let s be ((-6)/9 + 0)*-9. Let t(d) = 44 + 7*d**2 - s*d + 9*d - 23*d. Let o(w) = w**2 + w - 1. Let v(r) = -4*o(r) + t(r). Factor v(k).
3*(k - 4)**2
Suppose 17*i - 2*k = 15*i, i + 5*k = 4*i. Factor i*q + 0 + 2/7*q**3 + 4/7*q**2.
2*q**2*(q + 2)/7
Suppose -204/5*f - 108/5 - 111/5*f**2 - 12/5*f**3 + 3/5*f**4 = 0. Calculate f.
-2, -1, 9
Let z(q) be the second derivative of -2*q**6/15 + q**4 - 4*q**3/3 - 153*q + 2. Factor z(n).
-4*n*(n - 1)**2*(n + 2)
Suppose 0 = -3*r + n + 41, -3*r + 0*n + 25 = -5*n. Suppose -r*l = -9*l - 12. Factor -1/2*q**l + 1/2*q + 0.
-q*(q - 1)/2
Let b(y) be the third derivative of 0*y**3 + 0*y**4 + 0 + 1/270*y**5 + 0*y + 14*y**2. Solve b(x) = 0.
0
Let x(h) = 20*h**2 + 8*h - 11. Let r(q) = 7*q**2 + 3*q - 4. Let s = 15 - 21. Let i(a) = s*x(a) + 17*r(a). Find y, given that i(y) = 0.
1, 2
Suppose 185*g - 3*g**4 + 6*g**2 + g**4 - 57*g - 28*g + 10*g - 100 - 14*g**3 = 0. Calculate g.
-5, 1, 2
Factor -21/5*m - 1/5*m**2 + 9 + 1/5*m**3.
(m - 3)**2*(m + 5)/5
Let z - 4/3 + 1/3*z**2 = 0. Calculate z.
-4, 1
Let q(t) be the third derivative of 0*t**3 + 0*t + 0 - 1/30*t**5 - 1/6*t**4 + 1/60*t**6 - 9*t**2. Solve q(s) = 0 for s.
-1, 0, 2
Determine n so that 144/5 - 336/5*n - 3/5*n**4 + 264/5*n**2 + 3/5*n**5 - 72/5*n**3 = 0.
-6, 1, 2
Let v be 1/(-4) + 84/280. Let m(r) be the third derivative of 0*r + 0 - 6*r**2 + 0*r**4 + 0*r**3 + v*r**5. Factor m(d).
3*d**2
Let g(r) = -3*r**4 - 42*r**3 - 222*r**2 - 330*r - 159. Let d(o) = o**3 + 2*o**2 + o - 2. Let y(j) = -6*d(j) + g(j). Factor y(u).
-3*(u + 1)**2*(u + 7)**2
Suppose 0 - 15/2*s + 17/4*s**2 + 7/2*s**3 - 1/4*s**4 = 0. Calculate s.
-2, 0, 1, 15
Suppose i + 0 = 3*r - 5, r = i - 1. Let p(w) be the first derivative of -1/9*w**3 - 1/6*w**i + 1/15*w**5 + 12 + 0*w + 1/3*w**2. Factor p(z).
z*(z - 2)*(z - 1)*(z + 1)/3
Solve 1/7*x**3 + 10/7*x**2 + 31/7*x + 30/7 = 0 for x.
-5, -3, -2
Let v(a) = 15*a**3 + 70*a**2 - 105*a - 20. Let u(o) = -2*o**3 - 10*o**2 + 15*o + 3. Let w(z) = -20*u(z) - 3*v(z). Factor w(s).
-5*s*(s - 1)*(s + 3)
Let n(w) = -w. Let o be n(-4). Suppose 2*y + 2*y + 2*x - 150 = 0, -y = -3*x - 20. Factor 0*v**5 + v**5 + 36*v**4 - y*v**o.
v**4*(v + 1)
Let h(i) be the first derivative of i**4/30 + 46*i**3/45 + 31*i**2/3 + 130*i/3 - 258. Determine l, given that h(l) = 0.
-13, -5
Suppose -45*s + 6 - 30 = -51*s. Factor -4/7*q**3 + 0 - 2/7*q**2 - 2/7*q**s + 0*q.
-2*q**2*(q + 1)**2/7
Let s be (-4)/(38/(-33) + (-8)/44). Solve -155*y**3 - 3*y**5 + y**5 + 4*y**2 + 161*y**s = 0 for y.
-1, 0, 2
Determine f, given that -1/6*f**2 + 1/6*f + 1 = 0.
-2, 3
Let a be 1/(-9) + (-2033)/(-963). Determine u, given that 3/7*u**3 + 0 + 75/7*u + 30/7*u**a = 0.
-5, 0
Let p(q) be the first derivative of -3*q**5/5 - 9*q**4/4 - 2*q**3 - 63. Determine l so that p(l) = 0.
-2, -1, 0
Let l be (-2)/9 + 300/135 - (-30)/9. Factor -4/3 + 20/3*i - l*i**2.
-4*(i - 1)*(4*i - 1)/3
Let i(w) be the third derivative of -w**7/42 + 7*w**6/24 - 7*w**5/6 + 5*w**4/3 - 19*w**2 - 1. Suppose i(p) = 0. Calculate p.
0, 1, 2, 4
Suppose 13*l - 7*l + 990 = 0. Let t = 1156/7 + l. Factor 0*z + 0 + t*z**4 - 1/7*z**2 - 1/7*z**5 + 1/7*z**3.
-z**2*(z - 1)**2*(z + 1)/7
Let c(o) be the first derivative of -3*o**4/16 + 35*o**3/2 - 3675*o**2/8 - 190. Determine g so that c(g) = 0.
0, 35
Let s(h) be the second derivative of -h**4/3 + 26*h**3/3 + 250*h. Factor s(t).
-4*t*(t - 13)
Let s be (18/(-54) - -1)*(-2)/(-6). Suppose -s*r**2 + 8/9*r - 2/3 = 0. What is r?
1, 3
Suppose 0 = -2*n + 4*s + 2, -4*s = 12*n - 7*n - 19. Factor -3/5*l**n + 1/5*l**4 + 0*l**2 + 0 + 4/5*l.
l*(l - 2)**2*(l + 1)/5
Let y(o) = -o**2 + 80*o + 800. Let n(u) = -2*u**2 + 80*u + 800. Let j(v) = -3*n(v) + 4*y(v). Solve j(a) = 0.
-20
Let w be (94/8 + -12)/(-2). Let n(m) be the second derivative of 0 - 1/6*m**2 - 1/180*m**6 + 7/36*m**3 + 8*m - w*m**4 + 1/24*m**5. Factor n(g).
-(g - 2)*(g - 1)**3/6
Find u, given that -36/11*u + 0 + 17/11*u**3 + 1/11*u**4 - 20/11*u**2 = 0.
-18, -1, 0, 2
Let n(u) be the first derivative of -u**7/147 + u**6/35 - 3*u**5/70 + u**4/42 + 20*u - 20. Let v(s) be the first derivative of n(s). Let v(w) = 0. What is w?
0, 1
Let d(c) = c**2 - 4*c - 37. Let w be d(9). Let p(u) = 8*u - 62. Let j be p(w). Factor 2*q**j + 12/7 + 46/7*q.
2*(q + 3)*(7*q + 2)/7
Let 6/11 - 6/11*y**2 - 2/11*y + 2/11*y**3 = 0. What is y?
-1, 1, 3
Let v(h) be the second derivative of -h**7/1512 + h**6/216 + h**4/4 + 20*h. Let y(i) be the third derivative of v(i). Suppose y(j) = 0. Calculate j.
0, 2
Let s(n) = n**3 - 26*n**2 - 55*n - 24. Let g(u) = 6*u**3 - 129*u**2 - 276*u - 119. Let p(l) = 4*g(l) - 22*s(l). Factor p(x).
2*(x + 1)**2*(x + 26)
Let k(q) be the third derivative of -q**8/112 + q**7/10 - q**6/4 - q**5/10 + 11*q**4/8 - 5*q**3/2 + 575*q**2. Determine w, given that k(w) = 0.
-1, 1, 5
Let u(c) be the first derivative of -23*c**3/5 - 72*c**2/5 - 12*c/5 + 301. What is v in u(v) = 0?
-2, -2/23
Let f(s) = -46*s**5 + 273*s**4 - 484*s**3 + 363*s**2 - 109*s + 18. Let l(t) = t**5 + t**3 + t + 2. Let d(h) = -2*f(h) + 6*l(h). Let d(b) = 0. Calculate b.
2/7, 1, 3
Let m(s) be the third derivative of 25/2*s**3 + 0 - 3*s**2 + 15/4*s**4 + 9/20*s**5 + 0*s. Factor m(o).
3*(3*o + 5)**2
Suppose 0 = 2*k + h - 7, 9 + 3 = 3*k + 2*h. Let 24*b - 10*b**2 - 10*b**k - 20 - 20 + 36 = 0. Calculate b.
1/5, 1
Let g(o) be the first derivative of -o**7/210 + 13*o**6/90 - 7*o**5/6 - 49*o**4/6 + 11*o**3 + 43. Let y(f) be the third derivative of g(f). Factor y(q).
-4*(q - 7)**2*(q + 1)
Let x(l) be the first derivative of 4/39*l**3 - 1/39*l**6 + 0*l + 0*l**4 + 1/13*l**2 - 4/65*l**5 + 18. Factor x(h).
-2*h*(h - 1)*(h + 1)**3/13
Let w(p) be the second derivative of p**7/14 + 3*p**6/10 - p**4 + 94*p. Factor w(i).
3*i**2*(i - 1)*(i + 2)**2
Let d(y) be the second derivative of -2/3*y**3 - 49*y - 1/84*y**7 + 11/60*y**6 - 27/40*y**5 + 25/24*y**4 + 0*y**2 + 0. Factor d(b).
-b*(b - 8)*(b - 1)**3/2
Let x(i) = 2*i. Let u be x(-1). Let n(r) = r**3 + 3*r**2 - 1. Let f be n(u). What is s in 0*s**2 - f*s**3 - 3*s**2 + 0*s**2 = 0?
-1, 0
Let x be ((-160)/192)/(20/(-12)*1). Find d, given that 3/4*d + 1/4*d**2 + x = 0.
-2, -1
Let p(k) be the first derivative of -2*k**5/5 - 73*k**4/2 - 140*k**3 + 4*k**2 + 560*k + 832. Factor p(s).
-2*(s - 1)*(s + 2)**2*(s + 70)
Let x = 185 - 113. Let h(j) = 5*j - 51. Let b be h(11). Find f, given that -16 - 124*f**2 + 151*f**3 + x*f**4 - 104*f + 51*f**3 - 98*f**5 + 68*f**b = 0.
-1, -2/7, 1, 2
Suppose 6*i - 20 = i. Factor 3*v**2 + 2*v**3 + 6*v**2 - 2*v**i - 7*v**2 - 2*v**5.
-2*v**2*(v - 1)*(v + 1)**2
Let v(j) be the second derivative of j**5/80 - j**4/6 - j**3/24 + j**2 + 194*j. Determine z so that v(z) = 0.
-1, 1, 8
Let d = -1/4 + 21/52. Let a(q) be the first derivative of -2/39*q**3 + 2 + d*q**2 - 2/13*q. Solve a(r) = 0.
1
Suppose 4*h - 21 = -9. Suppose 11 - 2 = h*x. Factor -2/5 - 6/5*t**2 + 2/5*t**x + 6/5*t.
2*(t - 1)**3/5
Let i be 1*(-1)/1 + -1. Let b be i/(-2)*(5 + -3). Factor -4*f**3 + f + 5*f**b - 3*f - 2*f + 3*f**2.
-4*f*(f - 1)**2
Suppose 34*v**2 + 38*v**3 - 5 - 33*v - 85*v**2 + 24*v**2 + 32*v**2 - 5*v**3 = 0. Calculate v.
-1, -5/33, 1
Let c(z) be the third derivative of -z**9/1008 + z**8/112 - z**7/35 + z**6/30 + 7*z**3/6 + 2*z**2. Let d(f) be the first derivative of c(f). Solve d(g) = 0.
0, 1, 2
Let z(g) = g**2 - 1. Let f(l) be the second derivative of 3*l**3/2 - 9*l**2/2 - 14*l. Let r(c) = -f(c) + 3*z(c). Find v, given that r(v) = 0.
1, 2
Let c(j) = -122*j + 614. Let b be c(5). Find d such that -10/3*d - 2/3*d**2 - b = 0.
-3, -2
Let z(j) be the first derivative of 4*j**3/3 - 16*j**2 + 33*j + 46. Let p(v) = -4*v**2 + 32*v - 32. Let h(y) = 5*p(y) + 4*z(y). Factor h(f).
-4*(f - 7)*(f - 1)
Let d(q) = -7*q**2 + 7*q - 23. Let f(i) be the second derivative of -1/4*i**4 - 11/2*i**2 + 2/3*i**3 + 0 - 6*i. Let g(x) = -2*d(x) + 5*f(x). Factor g(c).
-(c - 3)**2
Factor -3 + 3 - 24*c + 2*c - 23*c + c**3 + c**4 - 21*c**2.
c*(c - 5)*(c 