10400.
2*(l + 260)**2/13
Let g be 3458/437*(1 - 2). Let y = 746/115 - g. Suppose 81/5*p**2 - 12/5*p - y*p**3 + 0 - 48*p**4 = 0. What is p?
-4/5, 0, 1/4
Factor 12*c**2 + 3/2*c**4 - 27/2*c**3 + 0*c + 0.
3*c**2*(c - 8)*(c - 1)/2
Factor 3/7*w**2 + 1392/7*w + 1389/7.
3*(w + 1)*(w + 463)/7
Determine i, given that 423/2*i**3 + 33*i**4 + 150*i + 0 + 3/2*i**5 + 330*i**2 = 0.
-10, -1, 0
Let q = 67202/83965 + -6/16793. Factor q - 2/5*k - 2/5*k**2.
-2*(k - 1)*(k + 2)/5
Let k(p) be the second derivative of 0 + 2*p - 13/3*p**3 - 4/45*p**6 + 0*p**5 + 1/12*p**4 + 0*p**2. Let q(z) be the second derivative of k(z). Factor q(s).
-2*(4*s - 1)*(4*s + 1)
Let u(w) be the first derivative of 5*w**3/3 - 175*w**2 + 680*w + 268. Determine j, given that u(j) = 0.
2, 68
Let g(o) be the second derivative of 75/2*o**4 - 10*o**3 + o**2 + 322*o + 0. Suppose g(r) = 0. Calculate r.
1/15
Let d(u) = -u**2 + 3*u - 4. Let l(p) = 6*p**2 + 468*p - 466. Let f(x) = -4*d(x) - l(x). Factor f(k).
-2*(k - 1)*(k + 241)
Let k(h) be the first derivative of 1/210*h**5 + 6 + 0*h**4 - 15/2*h**2 + 0*h**3 + 0*h. Let v(y) be the second derivative of k(y). What is w in v(w) = 0?
0
Suppose -3*k**2 - 153*k - 247107 + 782*k + 1093*k = 0. What is k?
287
Let b be ((-5)/5)/((-14)/70). Let g(y) be the first derivative of -8/9*y**3 - 13/18*y**4 - 1/27*y**6 - 4/15*y**b + 0*y - 4/9*y**2 - 15. Factor g(w).
-2*w*(w + 1)**2*(w + 2)**2/9
Let v(z) be the third derivative of -z**6/120 + 37*z**5/60 - 179*z**4/24 - 217*z**3/6 - 83*z**2 + 4. Solve v(k) = 0.
-1, 7, 31
Let r(i) be the second derivative of -2*i**6/15 - 7*i**5/5 + 5*i**4 + 350*i**3/3 + 500*i**2 + 1585*i. Suppose r(y) = 0. Calculate y.
-5, -2, 5
Solve -304/5 + 2/5*i**3 - 296/5*i - 68/5*i**2 = 0 for i.
-2, 38
Let f be 3/5 - -12*1/5. Suppose 0 = f*o - 15. Factor -4*q**3 - 7*q + 4*q**o + 9*q - 2*q**5.
2*q*(q - 1)**2*(q + 1)**2
Suppose -31*a = -22*a + 4*d - 68, 0 = -4*a + 3*d - 8. Factor -2/9*y**a + 0 + 2*y**2 + 2/3*y**3 - 6*y.
-2*y*(y - 3)**2*(y + 3)/9
Suppose 170292*u**2 - 2*u**4 - 19*u**3 - 170292*u**2 + 3*u**3 = 0. Calculate u.
-8, 0
Let l = -69 + 14. Let v(f) = -f**3 + 24*f**2 - 25*f + 14. Let q(i) = 15*i**3 - 335*i**2 + 350*i - 195. Let b(s) = l*v(s) - 4*q(s). Factor b(t).
-5*(t - 2)*(t - 1)**2
Let n(v) = 350*v**2 + 3960*v - 1065. Let o(i) = 39*i**2 + 440*i - 118. Let h(r) = -6*n(r) + 55*o(r). Factor h(k).
5*(k + 10)*(9*k - 2)
Let y be (-6)/(-18)*-3 + -9*23/(-69). Factor 2178/17 + 132/17*l + 2/17*l**y.
2*(l + 33)**2/17
Let t(q) be the second derivative of -q**6/24 + 221*q**5/16 + 185*q**4/8 + 4*q - 966. Factor t(k).
-5*k**2*(k - 222)*(k + 1)/4
Let k(r) = -16*r**2 - 27*r - 296. Let p(y) = -y**2 + 16*y - 2. Let s(u) = 2*k(u) - 30*p(u). Suppose s(q) = 0. What is q?
-266, -1
Let i(p) be the first derivative of -p**7/231 - 2*p**6/165 - p**5/110 + 46*p + 59. Let t(j) be the first derivative of i(j). Factor t(h).
-2*h**3*(h + 1)**2/11
Let r(z) be the first derivative of -1/15*z**2 + 23 + 2/45*z**3 - 4/15*z. Factor r(u).
2*(u - 2)*(u + 1)/15
Let a(r) be the second derivative of -7*r**4/24 + 895*r**3/12 + 32*r**2 + r - 453. Find d such that a(d) = 0.
-1/7, 128
Suppose -59259*x = -59095*x. Suppose -32/7*q**2 + x + 38/7*q**3 - 8/7*q - 10/7*q**4 = 0. What is q?
-1/5, 0, 2
Let q(a) = -4*a**4 + 24*a**3 - 28*a**2 - 30*a + 35. Let n(c) = -20*c**4 + 120*c**3 - 140*c**2 - 148*c + 174. Let d(x) = 3*n(x) - 14*q(x). What is i in d(i) = 0?
-1, 1, 2, 4
Let z(d) = -16*d + 1. Let q(y) = y**2 + 53*y + 267. Let b(p) = -q(p) + 5*z(p). Factor b(g).
-(g + 2)*(g + 131)
Let m(n) be the first derivative of -288/5*n - 43 - 28/15*n**3 + 508/5*n**2. Factor m(r).
-4*(r - 36)*(7*r - 2)/5
Suppose -151 = -7*r - 137. Solve -2 + 3110*k + 165*k**3 + 11*k**4 - 121*k**4 + 25*k**5 - 3090*k + 2 - 100*k**r = 0 for k.
0, 2/5, 1, 2
Let y(i) = -648*i**2 - 12*i - 14. Let n(m) = 21*m + 3. Let c(f) = -4*n(f) - y(f). Suppose c(d) = 0. What is d?
1/18
Suppose u - 211 = -u - 3*l, -2*u + 171 = -5*l. Suppose i + u = 100. Factor -2/9*n - 2/9*n**i + 0.
-2*n*(n + 1)/9
Let f(w) be the second derivative of -w**6/105 - 6*w**5/35 - 15*w**4/14 - 50*w**3/21 - 3852*w. Solve f(l) = 0.
-5, -2, 0
Suppose -5*q + 38 = 7*s, 119*q - 122*q = -3*s + 6. Let -20/3 + 22/3*o - 2/3*o**q = 0. Calculate o.
1, 10
Determine x, given that 392 - 38*x**3 + 346/3*x**2 + 1624/3*x - 10/3*x**4 + 2/3*x**5 = 0.
-6, -2, -1, 7
Let c(v) = -41*v**2 + 6*v - 4. Let b(r) = 39*r**2 + 157*r + 160*r - 323*r + 6. Let q(m) = 2*b(m) + 3*c(m). Solve q(d) = 0 for d.
0, 2/15
Let p(d) be the second derivative of -d**5/210 - 19*d**4/42 - 361*d**3/21 + 59*d**2 - 7*d + 6. Let b(r) be the first derivative of p(r). Factor b(l).
-2*(l + 19)**2/7
Solve -2/15*f**2 + 0 + 14/3*f = 0 for f.
0, 35
Let t be 196/7*(0 - (-4 + 53)). Let a = -1369 - t. Solve 4/11*u - 1/11*u**4 + 3/11*u**2 - 2/11*u**a - 4/11 = 0.
-2, 1
Let j(p) = 53*p + 216. Let f be j(-4). Let v(q) be the second derivative of -1/2*q**3 + 3*q**2 + 0 - 1/4*q**f - 4*q. Factor v(n).
-3*(n - 1)*(n + 2)
Let v(x) = -4*x**4 + 17*x**3 + 37*x**2 - 48*x - 264. Let m(y) = y**4 - y**3 - y**2 + 24. Let g(f) = -15*m(f) - 3*v(f). Factor g(c).
-3*(c - 2)*(c + 2)*(c + 6)**2
Let z(p) = -210*p**2 + 266*p + 6. Let l(a) = -1050*a**2 + 1329*a + 25. Let g(v) = 4*l(v) - 22*z(v). Factor g(h).
4*(3*h - 4)*(35*h + 2)
Let c(w) be the first derivative of w**6/1800 - 11*w**5/300 + 7*w**4/40 + 4*w**3/3 - 172. Let m(r) be the third derivative of c(r). Let m(p) = 0. What is p?
1, 21
Factor -2/13*c**2 - 8032032/13 + 8016/13*c.
-2*(c - 2004)**2/13
Let h = -110 - -103. Let t(s) = 5*s**3 - 50*s**2 + 125*s - 7. Let p(a) = -5*a**3 + 50*a**2 - 125*a + 6. Let y(m) = h*p(m) - 6*t(m). Factor y(g).
5*g*(g - 5)**2
Suppose 54*k - 46463 = -46301. Let j(t) be the second derivative of -1/10*t**5 + 0*t**2 + 4/3*t**k - 30*t + 0 + 1/2*t**4. Find w such that j(w) = 0.
-1, 0, 4
Let m(b) = b**3 + 71*b**2 + 62*b + 6. Let f(a) = -10*a**3 - 643*a**2 - 557*a - 57. Let v(h) = -4*f(h) - 38*m(h). Factor v(j).
2*j*(j - 64)*(j + 1)
Let u(r) be the first derivative of -4*r**5/25 + 6*r**4/5 - 12*r**3/5 + 8*r**2/5 - 430. Suppose u(i) = 0. Calculate i.
0, 1, 4
Let q = -164827 + 494504/3. Factor q*w + 1/3*w**2 + 22/3.
(w + 1)*(w + 22)/3
Suppose -236/7 + 34*g - 2/7*g**2 = 0. Calculate g.
1, 118
Factor 40/11*q**2 + 2/11*q**3 + 6*q - 108/11.
2*(q - 1)*(q + 3)*(q + 18)/11
Let t(n) be the third derivative of 15*n**7/112 + 23*n**6/72 + 19*n**5/60 + n**4/6 - 65*n**3/3 - 43*n**2. Let c(f) be the first derivative of t(f). Factor c(j).
(5*j + 2)**2*(9*j + 2)/2
Let n = -25418 + 635462/25. Factor -22/25*r + 6/25*r**2 + n.
2*(r - 3)*(3*r - 2)/25
Let c = -8676 + 52057/6. Let u(i) be the second derivative of -1/60*i**6 - 1/20*i**5 + c*i**3 + 0 + 5*i - 3/4*i**2 + 1/6*i**4. Find j, given that u(j) = 0.
-3, -1, 1
Factor -8/3*n - 1/3*n**2 + 1/3*n**3 + 4.
(n - 2)**2*(n + 3)/3
Let v(o) = -6454*o + o**2 - 19 + 6374*o + 52 + 44. Let t(d) = 25*d**2 - 2160*d + 2080. Let y(a) = -2*t(a) + 55*v(a). Factor y(l).
5*(l - 15)*(l - 1)
Find w, given that 2/17*w**4 + 282/17*w**3 + 0*w + 280/17*w**2 + 0 = 0.
-140, -1, 0
Let a(o) = o**2 + 4*o + 3. Let d be a(-4). Factor 8*b**4 + 10*b**3 - 7*b - 3*b**2 - d*b**2 - b - 2*b - 2.
2*(b - 1)*(b + 1)**2*(4*b + 1)
Let a(c) be the second derivative of 7/9*c**4 - 1/63*c**7 + 26 + 5/9*c**3 + c + 2/45*c**6 + 0*c**2 + 2/5*c**5. Solve a(v) = 0 for v.
-1, 0, 5
Suppose -5*g = -4*q - 399 - 565, 0 = 5*g + 3*q - 957. Factor g*p - 20*p**2 + 2277 + 0*p**2 - 2197.
-4*(p - 10)*(5*p + 2)
Let h(t) = t**3 + t**2 + t + 1. Let k(o) = 20*o**3 + 36*o**2 + 48*o + 32. Suppose 432 = -130*c + 142*c. Let r(a) = c*h(a) - 2*k(a). Factor r(z).
-4*(z + 1)**2*(z + 7)
Let o(x) be the second derivative of -x**5/100 + x**4/15 + 5*x**3/6 - 14*x**2/5 + 201*x + 13. Let o(r) = 0. What is r?
-4, 1, 7
Let p(v) be the second derivative of -1/12*v**3 - 1/36*v**4 + 9*v + 1/120*v**5 + 0*v**2 - 3. Solve p(c) = 0 for c.
-1, 0, 3
Let o(x) be the third derivative of x**6/360 - 19*x**5/12 - x**4/72 + 95*x**3/6 + 724*x**2 + 2. Factor o(h).
(h - 285)*(h - 1)*(h + 1)/3
Let s be (-11 - -6) + 5 + 2. Factor 2 + 6*u**s + 4*u + 5*u - 16*u + u - 2*u**3.
-2*(u - 1)**3
Let y(p) = 25*p + 331. Let x be y(-13). Suppose 42 = -x*c + 54. Factor -4/3*b**c + 0*b + 0 - 1/3*b**3.
-b**2*(b + 4)/3
Let q(k) be the second derivative of -k**7/168 -