 2)**2*(y - 1)
Let w(q) = q**2. Let i(c) = -5*c**2 + 32*c - 64. Suppose a - 2*o + 7 = -4*a, -3*a = -5*o + 8. Let z(x) = a*w(x) - i(x). Factor z(s).
4*(s - 4)**2
Let v(x) be the third derivative of -153*x**2 + 0*x - 6/65*x**5 + 5*x**4 - 325/3*x**3 + 0. Factor v(c).
-2*(6*c - 65)**2/13
Let x be (-5341)/7630*30/(-4). Factor -6 + x*w**3 - 27/2*w**2 + 15*w - 3/4*w**4.
-3*(w - 2)**3*(w - 1)/4
Let l(m) be the second derivative of -5*m**4/12 - 1505*m**3/6 - m + 2030. What is a in l(a) = 0?
-301, 0
Let m(u) = -5*u**2 - 226*u - 248. Let f(p) = -32*p**2 - 1356*p - 1495. Let a(t) = 6*f(t) - 38*m(t). Factor a(s).
-2*(s - 227)*(s + 1)
Let l be 6528/48*26/4. Let c = l + -878. Factor -5/2*x**3 - c*x - 4 + 9*x**2.
-(x - 2)**2*(5*x + 2)/2
Let d(u) be the third derivative of -1/12*u**4 + 0 + 0*u - 175*u**2 - 11/120*u**5 - 3/80*u**6 + 1/672*u**8 - 1/420*u**7 + 0*u**3. Factor d(y).
y*(y - 4)*(y + 1)**3/2
Let w be (-2187)/54*((-14)/21)/(2/9). Determine k, given that -w - 3/8*k**2 + 27/2*k = 0.
18
Let q(o) = -9*o**4 + 29*o**3 + 55*o**2 - 53. Suppose 0 = 4*g + 7*g - 121. Let x(f) = 5*f**4 - 15*f**3 - 28*f**2 + 26. Let d(t) = g*x(t) + 6*q(t). Factor d(v).
(v - 1)*(v + 2)*(v + 4)**2
Let w(g) = g**2 - 1. Let q = 3513 - 3519. Let b(t) = 3*t**2 + 2*t - 6*t**2 + 54 - 26*t. Let d(y) = q*w(y) - b(y). Find l, given that d(l) = 0.
4
Let k = 1375 + -1390. Let l be 10/k*10/(-20). Solve -1/3*x + 0 + l*x**4 - 1/3*x**2 + 1/3*x**3 = 0 for x.
-1, 0, 1
What is h in 4*h**2 - 3 + 8 + 1327*h - 1316*h + 3*h**3 - 4*h**3 + 1 = 0?
-1, 6
Let c(d) be the first derivative of -d**5/20 + 3*d**4/8 - d**3 + d**2 - 229. Factor c(j).
-j*(j - 2)**3/4
Let c be 12/195*(-752)/282*30/(-4). Suppose c*h**2 + 0*h - 2/13*h**3 + 0 = 0. What is h?
0, 8
Factor 82 - 43/2*b + 1/4*b**2.
(b - 82)*(b - 4)/4
Let p = -422 - -424. Let i = 443/5 - 8397/95. Suppose -2/19*u - 4/19 + 2/19*u**3 + i*u**p = 0. What is u?
-2, -1, 1
Let o(c) be the second derivative of -c**7/21 + 77*c**6/30 + 47*c**5/20 - 77*c**4/3 - 26*c**3 + 251*c - 10. Find l such that o(l) = 0.
-2, -1/2, 0, 2, 39
Let w(t) = -4*t**2 - 371*t - 356. Let f(x) = -x**2 - 124*x - 119. Let o be -6*(-17)/(102/4). Let h(q) = o*w(q) - 11*f(q). Factor h(l).
-5*(l + 1)*(l + 23)
Let u(l) be the second derivative of -l**5/10 + 5*l**4/8 - l**3 - 25*l**2 + 3*l - 2. Let y(c) be the first derivative of u(c). Solve y(f) = 0.
1/2, 2
Let x be (6/10)/(2599/230). Let w = x + 196/565. Find u, given that 2/5*u**3 - w + 2/5*u**2 - 2/5*u = 0.
-1, 1
Let c be ((-50)/30 - -1)/((-4)/18). Factor 483*p**2 - 944*p**2 - c*p**4 + 6*p**3 + 482*p**2 + 12*p.
-3*p*(p - 4)*(p + 1)**2
Let k(g) be the first derivative of 2*g**3/21 + 28*g**2 - 394*g/7 + 168. Find m, given that k(m) = 0.
-197, 1
Let q(c) be the first derivative of 1/4*c**3 + 12*c**2 + 93/4*c - 153. Factor q(r).
3*(r + 1)*(r + 31)/4
Let s(j) = 3*j**3 + 94*j**2 + 640*j + 2. Let i be s(-10). Factor 124/3*b + 56/3*b**i - 4/3*b**3 + 64/3.
-4*(b - 16)*(b + 1)**2/3
Let s(k) be the first derivative of -5/3*k**3 - 95/2*k**2 + 0*k - 106. Suppose s(v) = 0. What is v?
-19, 0
Let s(d) = d**2 - 9*d - 47. Let n be s(-4). Find x, given that 2*x**4 - 3*x**4 + 3*x**5 - x**3 - n*x**3 + 4*x**4 = 0.
-2, 0, 1
Let y(c) = 2*c + 1. Let q be y(1). Suppose -4*o = -20, v - 5*v + o = -3. Find p, given that -4*p + 3*p - p**2 + 5*p + q*p**v = 0.
-2, 0
Let v(l) = 2*l**2 + 43*l + 207. Let s be v(-6). Let f(y) be the second derivative of 0 + 1/9*y**3 - 1/3*y**2 - s*y - 1/72*y**4. Factor f(w).
-(w - 2)**2/6
Let z = -131 - -133. Let p(y) = -y**3 + 3*y**2 + 4*y + 3. Let c be p(-2). What is t in -5*t - 18*t**2 + 5*t**3 - c*t**2 + 33*t**z = 0?
-1, 0, 1
Let v be (8 - 7)*(-7)/(-1). Suppose 4*y - 23 + v = 0. Suppose -65*n**2 - 444*n**3 - 121*n**4 - 8*n - 35*n**2 - 679*n**y - 448*n**5 = 0. What is n?
-1, -2/7, -1/4, 0
Let t(i) be the second derivative of 0 - 12*i + 0*i**2 - 13/55*i**6 - 10/33*i**3 + 17/66*i**4 + 6/77*i**7 + 7/55*i**5. What is q in t(q) = 0?
-2/3, 0, 5/6, 1
Let 6/5*g**4 + 12/5*g - 16/5*g**2 + 0 + 1/5*g**5 - 3/5*g**3 = 0. Calculate g.
-6, -2, 0, 1
Let l = -3/160528 + 3852693/1123696. Suppose -4/7*j**2 - 20/7 - l*j = 0. Calculate j.
-5, -1
Let n(p) = 26*p - 43. Let g be n(2). Factor 63*i**2 - 12 - 20*i**2 - 32*i + g*i**3 - 3*i**3 + 22*i**3.
(i + 2)*(4*i - 3)*(7*i + 2)
Let g(i) be the third derivative of i**8/224 - 5*i**7/28 + 19*i**6/8 - 43*i**5/4 + 385*i**4/16 - 121*i**3/4 - 1401*i**2. Factor g(p).
3*(p - 11)**2*(p - 1)**3/2
Suppose 0 = -93*m + 87*m + 24. Suppose u + 5 + 20*u**4 - 25*u**m - 11*u + 10*u**3 = 0. Calculate u.
-1, 1
Let u(d) = -4*d**2 + 3696*d - 853776. Let l(v) = -4*v**2 + 3696*v - 853776. Let h(g) = 3*l(g) - 4*u(g). Determine r so that h(r) = 0.
462
Suppose -13*s = -12*s - 2. Determine c so that -4*c**5 - 30*c**4 + 18*c - 19*c + 36*c**3 + 38*c**4 - 8*c**s - 14*c - 17*c = 0.
-2, -1, 0, 1, 4
Find a such that -27*a**2 - 2*a**3 + 5*a**3 - 163 + 103 + 129*a - 41*a - 4*a**3 = 0.
-30, 1, 2
Determine t, given that 186*t**2 + 34225 + 1/2*t**3 + 34965/2*t = 0.
-185, -2
Let y = 82711/10 - 8271. Let r(a) be the second derivative of 0 - 1/14*a**7 + 1/2*a**4 - 5/2*a**3 - 9/2*a**2 + y*a**6 - 20*a + 9/10*a**5. Factor r(n).
-3*(n - 3)*(n - 1)*(n + 1)**3
Suppose 187*n = 183*n + 828. Let s = 209 - n. What is p in -5 + 5/2*p**s - 5/2*p = 0?
-1, 2
Let k(n) be the second derivative of n**4/3 + 242*n**3/3 + 476*n**2 + 350*n + 1. Factor k(h).
4*(h + 2)*(h + 119)
Let x be (52/130)/((-2)/30). Let c be x/(-10) - 608/(-570). Factor c*d**2 - 5/3 + 0*d.
5*(d - 1)*(d + 1)/3
Let r(l) be the first derivative of -l**5/24 - l**4/8 - 40*l**2 - 64. Let d(q) be the second derivative of r(q). Factor d(x).
-x*(5*x + 6)/2
Let s = -9170 + 9170. Let u(n) be the third derivative of 13/40*n**5 + 0 + 9*n**3 - 25*n**2 + 1/80*n**6 + s*n + 3*n**4. Suppose u(o) = 0. What is o?
-6, -1
Let b(d) be the third derivative of d**4 - 1/60*d**6 + 1/30*d**5 - 97*d**2 + 0*d + 0*d**3 + 0. Factor b(g).
-2*g*(g - 4)*(g + 3)
Suppose -153 = -3*x + 5*z, 5*x + z - 56 - 199 = 0. Factor -27*v**3 + x*v**3 - 9*v**2 + 54*v - 27*v**3.
-3*v*(v - 3)*(v + 6)
Let y(u) be the second derivative of u**5/360 - u**3/4 + 77*u**2/2 + 77*u. Let o(b) be the first derivative of y(b). Suppose o(c) = 0. Calculate c.
-3, 3
Let o(g) be the first derivative of 49/12*g**4 - 175/9*g**3 - 4*g - 110 + 44/3*g**2. Find q such that o(q) = 0.
2/7, 3
Let i(x) be the second derivative of -x**5/40 + x**4/6 - 5*x**3/12 + x**2/2 - 40*x - 14. Let i(k) = 0. What is k?
1, 2
Let h(m) = -5*m - 9 + 2*m + 29. Let n be h(-15). Let -n - 4*q**2 + 4*q + 4*q + 77 = 0. What is q?
-1, 3
Solve -14/17 - 2*b**3 - 82/17*b**2 - 62/17*b = 0.
-1, -7/17
Find n such that 1/6*n**4 - 23/3*n - 23/2*n**2 + 20 - n**3 = 0.
-5, -2, 1, 12
Let r be (-684)/8 - 2/(-8)*2. Let z = r - -87. Factor 2*h**3 + 2*h**4 + 2*h**3 + 10*h**2 - 8*h**z.
2*h**2*(h + 1)**2
Let q(n) be the third derivative of -n**8/252 + 8*n**7/105 - 53*n**6/90 + 22*n**5/9 - 6*n**4 + 80*n**3/9 - 137*n**2. Suppose q(o) = 0. Calculate o.
1, 2, 5
Let y(c) be the third derivative of -c**8/28 + 62*c**7/105 - 8*c**6/3 + 4*c**5/15 + 8*c**4 - 1051*c**2 - 2. What is a in y(a) = 0?
-2/3, 0, 1, 4, 6
Suppose 65*i = 3*i + 248. Let u be 10/(-3)*(-6)/i. Find r such that 0*r + 0*r**2 + 0 + 3/4*r**u + 3/2*r**4 + 3/4*r**3 = 0.
-1, 0
Suppose -2818 - 6494 = -12*d. What is p in 144*p**2 + 22*p**3 + 826 - d + 7*p**3 - 2*p**4 + 148*p + 15*p**3 = 0?
-1, 25
Let j be (-4)/(-10) + -6 + 145/50. Let x = 16/5 + j. Let 1/2*w + 1/2*w**2 - 1/2 - x*w**3 = 0. Calculate w.
-1, 1
Let w be (-1)/4 - 658/56 - (-2623)/122. Factor 361/4 + 1/4*v**2 + w*v.
(v + 19)**2/4
Let f be (-16)/((-1440)/1110) - 1. Solve -f - 2/3*c**2 + 12*c = 0 for c.
1, 17
Let r be ((-48)/208)/((-33)/6 + 1). Let q(y) be the first derivative of 0*y + 25 - 1/13*y**4 - 2/65*y**5 + 2/13*y**2 + r*y**3. Let q(n) = 0. Calculate n.
-2, -1, 0, 1
Factor 0 - 1/5*x**2 - 239/5*x.
-x*(x + 239)/5
Let r = 60753 + -182243/3. Factor 4/3*l**2 - r + 0*l.
4*(l - 2)*(l + 2)/3
Let z = 5345/68 - -1078111/612. Factor 2/9*k**2 + z - 364/9*k.
2*(k - 91)**2/9
Let i be -3*(43080/(-5406))/10 - (-108)/(-2862). Find y, given that -28/17*y**3 - 90/17*y**2 - 2/17*y**4 - 104/17*y - i = 0.
-10, -2, -1
Let x be (-14 - -1) + (17 - (-648)/(-168)). Factor 0 + 6/7*w**3 - x*w**4 - 9/7*w**2 + 0*w.
-w**2*(w - 3)**2/7
Let x(l) b