4/15*s + 2/15*s**4 = 0. What is s?
-75, -2, -1
Let y(n) be the third derivative of 1/6*n**4 + 1/15*n**5 + 0*n + 0 + 75*n**2 + 1/120*n**6 + 0*n**3. Determine l so that y(l) = 0.
-2, 0
Factor -2209/6 + 837/2*m**4 - 19787/6*m - 29399/3*m**2 - 9519*m**3 - 9/2*m**5.
-(m - 47)**2*(3*m + 1)**3/6
Let b(u) = u**3 - 6*u**2 - 6*u - 4. Let w be b(7). Let m be w/6 + -1 - (-52)/8. Factor -5*r**4 + 5*r**2 + 5*r - 7*r**3 + 8*r**3 - m*r**3.
-5*r*(r - 1)*(r + 1)**2
Let n be 1/9 - (-15)/((-810)/(-156)). Suppose d**3 + 0*d**n + 3*d**3 + 2*d**2 - 5*d**2 + 16 - 9*d**2 = 0. Calculate d.
-1, 2
Solve 42/13*v + 22/13*v**3 - 62/13*v**2 + 0 - 2/13*v**4 = 0.
0, 1, 3, 7
Solve -215*f + 280 + 35*f**2 + 66 - 159 + 143 = 0.
3, 22/7
Let q(o) be the first derivative of 2/33*o**3 - 244 - 1/33*o**6 + 6/55*o**5 - 3/22*o**4 + 0*o**2 + 0*o. Factor q(p).
-2*p**2*(p - 1)**3/11
Determine t, given that -t**2 - t**2 - 36607 - 132755 + 1164*t = 0.
291
Let z(b) be the second derivative of b**6/6 - 35*b**5/4 + 85*b**4/6 - 3*b + 568. Suppose z(c) = 0. What is c?
0, 1, 34
Let k(c) = c**3 + 6*c**2 + c - 8. Let h be k(-2). Let 11*a - 2*a - h*a**3 - 2*a**2 + 4*a**3 - 5*a = 0. Calculate a.
-2, 0, 1
Let w(o) be the first derivative of 1/4*o + 5/16*o**2 + 71 - 7/24*o**3. Find h such that w(h) = 0.
-2/7, 1
Let o(w) be the third derivative of w**8/43680 + w**7/2340 + w**6/390 - 25*w**4/8 - 44*w**2. Let r(d) be the second derivative of o(d). Factor r(y).
2*y*(y + 3)*(y + 4)/13
Solve -536*x + 967*x**2 - 4162*x - 1779*x + 21*x**3 - 1800 + 194*x**2 + 507*x = 0 for x.
-60, -2/7, 5
Let a(x) be the second derivative of 0 + 1/5*x**5 - 53*x + 0*x**2 + 27/77*x**7 - 51/110*x**6 - 1/33*x**4 + 0*x**3. Let a(y) = 0. What is y?
0, 2/9, 1/2
Let h be -3*2/(-54 - -14). Let v(m) be the second derivative of h*m**5 + 4*m**3 + 6*m**2 + 4*m + 0 + 5/4*m**4. Factor v(f).
3*(f + 1)*(f + 2)**2
Let g(r) be the third derivative of r**8/448 + 12*r**7/35 - 199*r**6/160 - 29*r**5/8 + 99*r**4/8 + 49*r**3 + 679*r**2. Find z such that g(z) = 0.
-98, -1, 2
Let j = 2 + -2. Let l(c) = j + 41 - 2*c + 5*c**2 + 20*c + 16*c. Let y(u) = -5*u**2 - 33*u - 42. Let n(w) = -3*l(w) - 4*y(w). Factor n(m).
5*(m + 3)**2
Let l(a) = 3*a**4 - 3*a**3 + 3*a**2. Let n(j) = j**5 - 7*j**4 + 5*j**3 - 7*j**2 + j. Let k be -3 + (0/(-5))/6. Let u(d) = k*n(d) - 7*l(d). Factor u(q).
-3*q*(q - 1)**2*(q + 1)**2
Let j = -12670/11 + 165744/143. Solve -24/13 + j*d + 10/13*d**2 - 8/13*d**3 = 0 for d.
-3, 1/4, 4
Let f(j) be the second derivative of -1/35*j**5 + 1/21*j**3 + 0 - 100*j + 0*j**6 + 0*j**4 + 0*j**2 + 1/147*j**7. Factor f(o).
2*o*(o - 1)**2*(o + 1)**2/7
Let i(m) = -2*m**5 - m**4 - m**3 + 2*m**2. Let j(h) = 8*h**5 - 139*h**4 + 281*h**3 - 144*h**2. Let p(s) = 6*i(s) + 2*j(s). Factor p(k).
4*k**2*(k - 69)*(k - 1)**2
Let r = 201 + -151. Let -4*f**3 + 15*f**4 - r*f**4 + 2*f**5 - 10*f**3 + 23*f**4 = 0. What is f?
-1, 0, 7
Let x = 6108 - 6103. Let g(p) be the first derivative of -1/2*p**4 - 8/3*p**3 - 6 - x*p**2 - 4*p. Suppose g(l) = 0. What is l?
-2, -1
Let w(v) be the first derivative of v**6/2 + 66*v**5/5 - 39*v**4/2 - 64*v**3 + 339*v**2/2 - 138*v + 751. Let w(s) = 0. What is s?
-23, -2, 1
Let h be ((-18)/(-66) + (-186)/198 - 0)/(-7). Suppose -h*o - 4/21 + 2/7*o**2 = 0. What is o?
-2/3, 1
Let n = -282 - -300. Let j be 3 + 6 + (-102)/n. Factor 14/3*s - j*s**2 + 2/3*s**3 - 2.
2*(s - 3)*(s - 1)**2/3
Let h(c) be the third derivative of -2*c + 0 + 1/2*c**3 - 7/96*c**4 + 55*c**2 + 1/240*c**5. Factor h(q).
(q - 4)*(q - 3)/4
Let x be 141/(-12) - (8/(-3))/((-488)/(-2196)). What is l in -x*l**2 + 0 - 7/2*l = 0?
-14, 0
Let o(f) be the first derivative of -14*f - 136 - 2/21*f**3 + 2*f**2. What is t in o(t) = 0?
7
Factor -240*c - 87530*c**3 + 43764*c**3 + 43771*c**3 + 235*c**2.
5*c*(c - 1)*(c + 48)
Let w(t) = -5*t**5 + 16*t**4 + 31*t**3 - 29*t**2 - 13. Let o(b) = 3*b**5 - 8*b**4 - 17*b**3 + 15*b**2 + 7. Let q(x) = 13*o(x) + 7*w(x). Factor q(s).
4*s**2*(s - 1)*(s + 1)*(s + 2)
Factor -2/3*o**2 - 1033922/3 - 2876/3*o.
-2*(o + 719)**2/3
Let g(k) be the first derivative of 0*k + 2/25*k**5 + 1/30*k**6 - 1/20*k**4 + 0*k**2 - 92 - 2/15*k**3. Factor g(t).
t**2*(t - 1)*(t + 1)*(t + 2)/5
Factor 1455/2*b**2 - 3/2*b**4 + 723/2*b**3 + 0 + 729/2*b.
-3*b*(b - 243)*(b + 1)**2/2
Let i(q) be the third derivative of 115*q**2 + 1/3*q**4 + q + 22/15*q**3 - 1/75*q**5 + 0. Factor i(n).
-4*(n - 11)*(n + 1)/5
Let q = -7/11530 - -13843/11530. Factor q - n - 1/5*n**2.
-(n - 1)*(n + 6)/5
Let f(o) be the first derivative of -216/13*o - 108/13*o**2 + 4/13*o**4 - 214 - 2/65*o**5 + 6/13*o**3. Let f(i) = 0. What is i?
-3, -1, 6
Solve 30*w**2 + 192/5*w - 9*w**3 + 3/5*w**5 - 288/5 - 12/5*w**4 = 0 for w.
-3, -2, 1, 4
Let g(j) be the first derivative of j**3/18 - 11*j**2/3 + 475*j/6 - 8858. Factor g(f).
(f - 25)*(f - 19)/6
Let p(r) be the second derivative of -r**5/20 + 3*r**4/4 - r**3 - 7*r**2/2 - 11*r. Let d be p(8). Factor 2*j - 5*j - 8 + d*j**3 - 12*j**2 + 14.
3*(j - 1)**2*(3*j + 2)
Let z(l) = -15 - 27 + 2*l**2 + 15 - 9 + 2*l. Let c be z(-5). Factor 10/3*a**2 + 0*a - c*a**3 + 0 + 2/3*a**4.
2*a**2*(a - 5)*(a - 1)/3
Let a = 70 - 68. Find n, given that -46 + 192*n + 24*n**a - 22*n**3 - 82 + 244*n**4 - 18*n**3 - 238*n**4 = 0.
-2, 2/3, 4
Factor 0 + 1/2*n**3 - 56*n + 27*n**2.
n*(n - 2)*(n + 56)/2
Let n(t) be the second derivative of -t**6/30 - t**5/20 + t**4/6 - 1061*t. Determine r so that n(r) = 0.
-2, 0, 1
Suppose 7*x = 17*x - 30. Determine k so that 4*k**3 + 324 - 2*k**x + 54*k**2 - 2*k**3 - 2*k**4 + 81*k - 351*k + 6*k**3 = 0.
-6, 3
Let q be 184/14 + -9 - (-2)/(-14). Factor -q*j - 3*j**2 - j**2 - 129 + 153.
-4*(j - 2)*(j + 3)
Factor 1/3*y**2 + 209/3 + 70*y.
(y + 1)*(y + 209)/3
Factor -14/3*i + 2/15*i**3 + 0 - 4/15*i**2.
2*i*(i - 7)*(i + 5)/15
Let g be -5*((-6)/(-39) + (13616/(-1820))/23). Let x(w) = w**2 + 4*w - 2. Let l be x(-5). Factor 3/7*a**l - 9/7*a + g + 0*a**2.
3*(a - 1)**2*(a + 2)/7
Let v(t) be the second derivative of -2*t + 0*t**2 + 0*t**3 + 25/3*t**4 + 15 + 8/21*t**7 + 18*t**5 - 26/5*t**6. Factor v(k).
4*k**2*(k - 5)**2*(4*k + 1)
Let q(y) be the second derivative of y**4/66 + 52*y**3/33 + 276*y**2/11 - 4038*y. Suppose q(c) = 0. Calculate c.
-46, -6
Let x = -23646 - -23649. Factor -1/5*n**x + 0 - 3/5*n + 4/5*n**2.
-n*(n - 3)*(n - 1)/5
Let o be (-18)/135 + 6968/60. Suppose -6*b - o = -116. Factor 0*w + 1/9*w**5 - 1/9*w**3 + 0*w**2 + 0 + b*w**4.
w**3*(w - 1)*(w + 1)/9
Let q be (8/(-6))/(-4)*18/3. Determine c, given that -20*c**2 - 454 + 190*c + 9*c**2 - 1351 + 6*c**q = 0.
19
Suppose 119*q - 65*q = 162. Factor 0 - 10/9*w**2 - 4/3*w - 2/9*w**q.
-2*w*(w + 2)*(w + 3)/9
What is t in 420 + 909*t - 156*t**2 + 334*t**4 + 63*t**3 - 670*t**4 + 711*t**2 + 333*t**4 = 0?
-5, -1, 28
Let f(u) be the third derivative of -u**6/1380 + 94*u**5/115 + 2135*u**2. Factor f(n).
-2*n**2*(n - 564)/23
Suppose 730 = 5*n + 5*y, 5*y + 422 = -0*n + 3*n. Solve 0*k**3 - 3*k**3 + 168*k**2 - n*k - 2208*k = 0 for k.
0, 28
Let a(m) = m**2 + 1. Let z(n) = -n**2 - 7*n - 16. Let y(u) = -3*u**2 - 20*u - 48. Let l(v) = -2*y(v) + 7*z(v). Let r(q) = -4*a(q) - l(q). What is g in r(g) = 0?
-1, 4
Let l(u) be the second derivative of 3*u**5/20 + 4*u**4 + 9*u**3/2 - 135*u**2 + 4373*u. Factor l(j).
3*(j - 2)*(j + 3)*(j + 15)
Let f(x) be the second derivative of -x**6/45 + x**5/15 + 13*x**4/18 + 10*x**3/9 + 2*x - 119. Find b, given that f(b) = 0.
-2, -1, 0, 5
Let l = 5 - -15. Let q(z) = z**2 + z - 1. Let u = 2237 + -2241. Let d(k) = -k**3 + 2*k**2 + 5*k - 1. Let o(t) = l*q(t) + u*d(t). Determine v so that o(v) = 0.
-2, 1
Suppose 6317 - 3698*z + 92001*z**2 - 6289 + 30231*z**2 - 8712*z**3 = 0. Calculate z.
1/66, 14
Let s(i) = -i**3 - 5*i**2 + 2*i - 1. Let d(x) = -6*x**3 - 68*x**2 - 48*x - 8. Let k(u) = -d(u) + 8*s(u). What is y in k(y) = 0?
-2, 0, 16
Let j(a) be the third derivative of 125*a**2 - 25/2*a**3 + 0 - 1/180*a**5 + 0*a + 5/12*a**4. Factor j(p).
-(p - 15)**2/3
Find k such that -2*k**3 - 855 + 684 - 306*k - 262*k + 675 + 66*k**2 = 0.
1, 14, 18
Let w(z) = z + 1. Let s = 329 + -327. Let u(y) = 2*y**2 + 61*y + 509. Let v(a) = s*u(a) + 6*w(a). Find b, given that v(b) = 0.
-16
Let x = -6637 - -6657. Let n(g) be the first derivative of -3/14*g**2 + 6/7*g - 1/7*g**3 + x. Factor n(q).
-3*(q - 1)*(q + 2)/7
Suppose -10*p + 47 = 27. Determine m so that -80*m