2*n**5 + 2/15*n**6 + 0 + 3*n**4 + 0*n**2 + 0*n**3. Factor r(u).
4*u**2*(u + 1)*(u + 9)
Let x = -70373/2 - -35207. Factor 1/4*t**2 - x*t + 1681/4.
(t - 41)**2/4
Let t(l) be the third derivative of -214*l**2 + 0*l - 23/30*l**6 - 1/84*l**8 - 2*l**4 - 16/105*l**7 - 28/15*l**5 + 0 + 0*l**3. Determine y, given that t(y) = 0.
-3, -2, -1, 0
Let o(x) = x**3 + 14*x**2 + 30*x - 30. Let n be o(-11). Let q(v) be the first derivative of 0*v**n + 1/4*v**4 + 8 - 2*v - 3/2*v**2. Factor q(r).
(r - 2)*(r + 1)**2
What is g in -49*g**3 + 4320 - 3*g**4 - 75*g**3 + g**4 + 72*g**3 - 354*g**2 + 144*g = 0?
-12, -5, 3
Suppose -14*l**2 + 0 + 1/7*l**3 - 303/7*l = 0. Calculate l.
-3, 0, 101
Let x = -72 - -52. Let f = x - -23. Factor -6*v - 7*v**2 - f*v + 5*v**2 - 6 - v**2.
-3*(v + 1)*(v + 2)
Let v(d) be the first derivative of -d**6/90 + 8*d**5/15 - 13*d**4/2 + d**3 + 2*d**2 - 269. Let t(l) be the third derivative of v(l). Factor t(n).
-4*(n - 13)*(n - 3)
Suppose -37*z + 32*z = -120. Determine d, given that -z*d**2 + 189*d**2 + 1280 + 643*d + 6*d**3 - d**3 + 797*d = 0.
-16, -1
Let u(i) be the second derivative of i**4/3 - i**3 + 23*i**2 - 5*i - 1. Let b(k) = -k**2 + 2*k - 15. Let r(l) = -20*b(l) - 6*u(l). Factor r(c).
-4*(c - 2)*(c + 3)
Let n(w) be the second derivative of 8*w - 2 - 11/2*w**2 + 1/20*w**5 - 13/12*w**4 + 23/6*w**3. What is x in n(x) = 0?
1, 11
Let w(o) be the third derivative of 4/315*o**7 - 1/45*o**5 + 5/36*o**4 - 1/45*o**6 - 2/9*o**3 - 31*o**2 - 1/504*o**8 + 0*o + 0. Let w(c) = 0. Calculate c.
-1, 1, 2
Let d be -2*(0 - (3 + -2)). Let k be 4 - 0 - 4/d*1. Suppose 5*r**5 - 8*r**3 + 3*r**3 - k*r**5 + 2*r**5 = 0. Calculate r.
-1, 0, 1
Suppose -267289/2*b + 517/2*b**2 + 138188413/6 - 1/6*b**3 = 0. Calculate b.
517
Suppose -8 = 2*v, 8*b - 11*v = -9*v + 24. Suppose 8/3*q**3 + 0 + 10/3*q + 6*q**b = 0. What is q?
-5/4, -1, 0
Factor -1/5*x**5 + 94/5*x**4 - 2877/5*x**3 + 74752/5*x - 98304/5 + 26336/5*x**2.
-(x - 32)**3*(x - 1)*(x + 3)/5
What is u in 3*u + 2*u**3 - 16 + 7*u**2 - 7*u**2 + 54*u - 14*u**2 - 29*u = 0?
1, 2, 4
Suppose 5*p + 45 = -5*h, -7*p + 860*h + 27 = 857*h. What is u in 3/2*u**3 - 3*u - 7/2*u**2 + p = 0?
-2/3, 0, 3
Suppose -14*g + 139 = -211. Suppose -3*n = -2*t + 12, 37 - g = -t - 3*n. Factor 0 + 2/11*r**3 + 2/11*r**4 + t*r**2 + 0*r.
2*r**3*(r + 1)/11
Let c be ((-120)/72)/((-175)/195) - 4/(-28). Factor 6/11*q**3 - 16/11*q + 24/11 - 34/11*q**c.
2*(q - 6)*(q + 1)*(3*q - 2)/11
Factor -1016/3*c**3 + 0 - 2/3*c**5 - 260/3*c**4 - 336*c**2 + 0*c.
-2*c**2*(c + 2)**2*(c + 126)/3
Let u(q) be the first derivative of -1/5*q**5 + 0*q + 16/3*q**3 + 0*q**2 + 75 - 3/2*q**4. Factor u(g).
-g**2*(g - 2)*(g + 8)
Let f(o) = -o**3 - 10*o**2 - 16*o - 1. Let w be f(-8). Let r be (w/(4 + -8))/(21/112). Solve 4/3*g**2 + 4/9 - 4/9*g**3 - r*g = 0 for g.
1
Let d(z) be the second derivative of -z**7/21 + 143*z**6/60 - 138*z**5/5 - 3173*z**4/24 - 361*z**3/6 + 634*z. Suppose d(g) = 0. What is g?
-2, -1/4, 0, 19
Let b(q) be the third derivative of -q**7/70 - 257*q**6/20 - 513*q**5/20 + 5222*q**2 + q. Factor b(l).
-3*l**2*(l + 1)*(l + 513)
Let n(a) be the third derivative of a**6/1320 - 3*a**5/110 - 81*a**4/88 - 3339*a**2 - a. Factor n(s).
s*(s - 27)*(s + 9)/11
Let o(f) be the second derivative of -f**7/140 + f**6/16 - f**5/5 + f**4/4 - 83*f**2/2 + f + 33. Let i(n) be the first derivative of o(n). Solve i(b) = 0.
0, 1, 2
Let b(s) be the first derivative of 2*s**5/5 + 155*s**4/2 + 5076*s**3 + 96228*s**2 - 2204496*s - 1580. Suppose b(m) = 0. Calculate m.
-54, 7
Determine v so that 3/4*v**3 + 327/4 + 321/4*v**2 - 651/4*v = 0.
-109, 1
Let a be -1 - -18 - (-3 + 7 - 3). Suppose -2*u - a = -5*n - 0*u, -4 = 4*n + 4*u. Solve 14*h - 6*h - 4*h - 2*h**n - 5*h - h**3 = 0.
-1, 0
Let a(k) = 1. Let s(h) = -5*h + 7. Let q(v) = -a(v) - s(v). Let z be q(8). Factor -16 + 4*n - n**2 + z - 16.
-n*(n - 4)
Find o such that 9350*o**3 - 1752759*o**5 + 6194*o**2 - 7951*o - 5220 + 1820*o**4 - 6014*o + 1752774*o**5 + 1806*o**2 = 0.
-116, -3, -1/3, 1
Let v = 131 - 56. Let y = v - 73. What is b in -b**5 + y*b**3 - b**5 - b**3 + b**5 = 0?
-1, 0, 1
Factor 0 + 122/3*y - 1/3*y**3 + 121/3*y**2.
-y*(y - 122)*(y + 1)/3
Suppose 268*m + 1360 = 544*m - 259*m. Let w(b) be the first derivative of m*b - 8 + 40/3*b**3 + 50*b**2 + 5/4*b**4. Let w(u) = 0. Calculate u.
-4, -2
Let z(p) = 23*p**2 + 76*p - 531. Let r(y) = 122*y**2 + 380*y - 2656. Let w(d) = -3*r(d) + 16*z(d). Factor w(g).
2*(g - 6)*(g + 44)
Let q(c) be the second derivative of 17*c + 0 + 1/2*c**4 - 1/10*c**5 + 0*c**2 + 5/2*c**3 + 1/120*c**6. Let w(p) be the second derivative of q(p). Factor w(y).
3*(y - 2)**2
Let z(j) be the second derivative of -j**8/9240 + j**7/1540 - j**6/990 - j**3/2 - 9*j**2/2 + 29*j. Let a(w) be the second derivative of z(w). Solve a(f) = 0.
0, 1, 2
Let x = 304 - 303. Let b(m) = m**2 - 3*m - 1. Let s(z) = 4*z**2 + 24*z - 3. Let i(g) = x*s(g) - 3*b(g). Factor i(r).
r*(r + 33)
Let v(l) = -3*l**2 - 19*l + 17. Let h be v(-7). Factor -35*f - 170*f**3 + 21*f**2 + h*f**2 + 7*f + 174*f**3.
4*f*(f - 1)*(f + 7)
Let i(b) = -24*b**3 - b - 1. Let h(j) = 2577*j**3 + 6*j**2 - 9*j - 9. Let q(l) = h(l) - 9*i(l). Factor q(v).
3*v**2*(931*v + 2)
Let l = -148/907 - -6182/4535. Factor 33/5*w + 18/5 + 3/5*w**5 - 36/5*w**3 - l*w**2 - 12/5*w**4.
3*(w - 6)*(w - 1)*(w + 1)**3/5
Let y(s) = 4*s**2. Let c(i) = -8*i**2 - 19*i + 195. Let q(g) = -c(g) - y(g). Factor q(h).
(h - 5)*(4*h + 39)
Let s be -50 + 66 + -25 + 9. Solve -3/4*b + 11/8*b**2 + s - 3/4*b**3 + 1/8*b**4 = 0.
0, 1, 2, 3
Suppose 3*t = 2*p + 24, 16*t - 4*p - 48 = -8*t. Factor t + 2/3*l**2 - 58/3*l.
2*l*(l - 29)/3
Find a such that 14/5*a**2 - 36/5*a**3 + 104/5 - 2*a**4 + 144/5*a = 0.
-13/5, -2, -1, 2
Let i be (38/7 - 6)/((-36)/126). Let h(m) be the first derivative of 3/20*m**5 + 5/32*m**4 + 0*m + 0*m**3 + 0*m**i + 1/48*m**6 - 5. Solve h(u) = 0.
-5, -1, 0
Let o be (19*1/(-392))/(12 + -13). Let c = 16/49 + o. Factor -3/8*n + 0 + c*n**2.
3*n*(n - 1)/8
Let l(h) be the second derivative of -1/4*h**4 + 0 - 185*h + 3/2*h**3 + 0*h**2. Factor l(i).
-3*i*(i - 3)
Suppose 0 = -29*p + 44*p - 45. Let 135*i - i**2 + p*i**2 - 227*i = 0. What is i?
0, 46
Let y(k) be the second derivative of 25 - 1/10*k**6 - 2*k + 18/5*k**5 - 23/4*k**4 + 0*k**3 + 0*k**2. Factor y(p).
-3*p**2*(p - 23)*(p - 1)
Let h(k) = -63*k**3 - 381*k**2 + 9. Let b(o) = -o**4 - 127*o**3 - 764*o**2 + 21. Let y(n) = 3*b(n) - 7*h(n). Factor y(c).
-3*c**2*(c - 25)*(c + 5)
Let x(b) = -44*b**3 - 2071*b**2 - 7*b + 14. Let p(u) = -32*u**3 - 1381*u**2 - 5*u + 10. Let f(l) = -7*p(l) + 5*x(l). Factor f(i).
4*i**2*(i - 172)
Let g(u) = u**2 + 26*u + 27. Let z be g(-25). Solve 16*d**3 - 58 + 2*d**z - 6*d**4 + 4*d**2 - 55 + 105 - 24*d = 0.
-1, -1/3, 2
Let q(o) be the first derivative of -o**5/120 - 7*o**4/8 - 147*o**3/4 + 3*o**2/2 - 46*o - 179. Let s(x) be the second derivative of q(x). Factor s(w).
-(w + 21)**2/2
Let y(a) = a + 10 + 2*a + 12 - a - a**2. Let i be y(5). Find s, given that -9*s**2 + i*s**4 - 26*s + 20*s + 3*s**5 + 3*s**3 + 2*s**4 = 0.
-2, -1, 0, 1
Let r = 15742/3 - 5246. Let i(z) be the second derivative of 1/18*z**4 + 28*z - r*z**2 + 0 + 0*z**3. Factor i(x).
2*(x - 2)*(x + 2)/3
Let a be (5949/720 - 8)/(2/10). Let f(g) be the first derivative of a*g**4 - 21/8*g**2 - 19 + 3/2*g - 1/2*g**3. Let f(p) = 0. Calculate p.
-1, 2/7, 1
Let o(d) be the first derivative of d**4/8 - 29*d**3/2 - d**2/4 + 87*d/2 + 268. Suppose o(u) = 0. What is u?
-1, 1, 87
Let a be -1 + 27/(-9) + 7. Let k be (-12)/9*(75/35 - a). Factor -4/7*n**3 + 0 - 12/7*n**2 - k*n.
-4*n*(n + 1)*(n + 2)/7
Let u(h) be the third derivative of -h**8/6720 - h**7/1680 + h**6/120 - h**5/3 - 54*h**2. Let s(d) be the third derivative of u(d). Factor s(l).
-3*(l - 1)*(l + 2)
Let q be 36/45*(7 - 2). Let a(b) = -b**2. Let r(d) = -26*d**2 + 17*d + 2. Let w(f) = q*r(f) - 28*a(f). Factor w(x).
-4*(x - 1)*(19*x + 2)
Let v(c) = c**4 + c**3 + c + 1. Let l(k) be the first derivative of 2*k**5 - 20*k**3 - 15*k**2/2 + 85*k - 119. Let f(q) = l(q) - 5*v(q). Factor f(z).
5*(z - 4)*(z - 1)*(z + 2)**2
Let 6*b**3 + 78*b**3 - 1327*b**4 - 1699*b + 369*b**2 + 1330*b**4 - 3840 - 1853*b = 0. Calculate b.
-16, -1, 5
Suppose 0 = 5*y - 1 + 11. Let l be ((-2)/4)/(y/12). Factor 12*j**5 + l - 220*j**3 - 11*j + 295*j**3 + 32*j + 57*j**2 + 48*j