/52376. What is q in 8/9*q - 2/9*q**3 + 4/9*q**2 - b = 0?
-2, 2
Let t(r) be the second derivative of 1/9*r**4 - 2*r + 0*r**6 - 56 + 1/3*r**3 - 2/3*r**2 - 2/15*r**5 + 1/63*r**7. Factor t(d).
2*(d - 1)**3*(d + 1)*(d + 2)/3
Let c = -153/145 + 2553/1595. Let r(t) be the first derivative of -29 + c*t**2 - 2/33*t**3 - 18/11*t. Solve r(o) = 0 for o.
3
Let r(k) = -6*k + 33. Let w be r(5). Factor -c**3 + w*c**4 + 12*c + 3*c**3 - 5*c**3 + 7*c**2 - 25*c**2 + 24.
3*(c - 2)**2*(c + 1)*(c + 2)
Let n = -365673/5 - -73413. Let t = -278 + n. Solve -6/5*p**3 + 0 - t*p**4 - 2/5*p - 6/5*p**2 = 0 for p.
-1, 0
Solve 344/7*l**3 - 2/7*l**5 - 24*l**4 + 0*l**2 + 0*l + 0 = 0 for l.
-86, 0, 2
Let t(m) = -3*m**2 + 59*m - 106. Let y be t(26). Let o = y - -603. Factor 1/8*u**o - 1/4*u**2 + 0 - 3/8*u.
u*(u - 3)*(u + 1)/8
Suppose 3*i - 482 = m + 87, -m + 1 = 0. Factor 5*d**4 - 31 + i*d + 32*d**3 - 135*d**2 - 49 - 12*d**3.
5*(d - 2)*(d - 1)**2*(d + 8)
Let a(o) be the third derivative of -o**5/30 - 13*o**4/6 + 9*o**3 - 161*o**2 + 13. Suppose a(s) = 0. What is s?
-27, 1
Suppose 17*n - 8*n - 11547 = 0. Let d = n - 1283. Find z such that 3/2*z**2 + d + 27/2*z = 0.
-9, 0
Let x(f) = -47*f**2 - 716*f - 165. Let t(w) = 120*w**2 + 1792*w + 412. Let p(n) = 5*t(n) + 12*x(n). Factor p(v).
4*(v + 10)*(9*v + 2)
Let z be 51/(-34)*(-1 - 59). Let q be (-10)/2 + z + -85. Factor 16/7*c**3 + q*c + 6/7*c**2 + 0 - 6/7*c**4.
-2*c**2*(c - 3)*(3*c + 1)/7
Factor -358/9*r**2 - 188/9 - 842/9*r + 8/9*r**3.
2*(r - 47)*(r + 2)*(4*r + 1)/9
Factor 2/7*o**2 - 528/7 + 526/7*o.
2*(o - 1)*(o + 264)/7
Let p = 4630 + -4623. Let s(n) be the first derivative of 10*n**2 + n**4 + 16/3*n**3 + 8*n - p. Factor s(r).
4*(r + 1)**2*(r + 2)
Let k(u) be the first derivative of -u**6/8 - 13*u**5/12 + 5*u**4/8 + 8*u**3/3 + 2*u - 80. Let w(m) be the third derivative of k(m). Solve w(i) = 0 for i.
-3, 1/9
Let i(f) = -14*f**4 + 4*f**3 + 146*f**2 + 52*f - 2. Let y(l) = 15*l**4 - 2*l**3 - 145*l**2 - 54*l + 3. Let j(c) = 3*i(c) + 2*y(c). Factor j(o).
-4*o*(o - 4)*(o + 3)*(3*o + 1)
Let x(n) be the first derivative of -49*n**6/6 + 198*n**5/5 - 253*n**4/4 + 36*n**3 - 2*n**2 + 238. Suppose x(u) = 0. Calculate u.
0, 2/49, 1, 2
Let d(j) = j**3 - 22*j**2 - 24*j + 29. Let r be d(23). Suppose 3*n + 0*n - 6 = -z, 3*n - r = z. Factor 0*p + 13*p - 4*p**n - 21 - p + 37.
-4*(p - 4)*(p + 1)
Let x = 460 + -458. Let n(z) be the first derivative of 0*z**x + 4/3*z**3 + z**4 + 0*z - 10. Factor n(r).
4*r**2*(r + 1)
Let y = -791 + 789. Let r(d) = 2*d**3 + 66*d**2 - 574*d + 514. Let b(a) = 6*a**3 + 132*a**2 - 1147*a + 1029. Let u(p) = y*b(p) + 5*r(p). What is t in u(t) = 0?
1, 16
Let p be (-7)/(-14) - 39/(-2). Factor -46*k - 16*k**2 - 9*k**4 + 22*k - 21*k**3 + p*k.
-k*(k + 1)*(3*k + 2)**2
Let n(u) be the first derivative of 3*u**5/5 - 231*u**4/2 + 5613*u**3 + 36498*u**2 + 74892*u - 362. Factor n(y).
3*(y - 79)**2*(y + 2)**2
Let s(l) be the second derivative of 5*l**7/63 - 14*l**6/15 - 31*l**5/10 + 65*l**4/9 + 1066*l. Solve s(a) = 0.
-13/5, 0, 1, 10
Let r(h) = 3*h + 10. Let y be r(4). Let n be -1*((-8)/2 + 2). Let 2*o**3 - 12 + y*o - o**2 + 2*o**n - 13*o**2 = 0. What is o?
1, 2, 3
Let w = 122 + 605. Let o = 727 - w. Find m such that o - 2/5*m**2 + 1/5*m**3 + 0*m = 0.
0, 2
Let y = -218043/5 + 43611. Let 0 - 4/5*f**2 + y*f = 0. What is f?
0, 3
Let p(j) be the first derivative of 2*j**3/3 - 76*j**2 + 296*j + 2108. Factor p(f).
2*(f - 74)*(f - 2)
Factor -105*n**3 + 785 + 4031 + 3*n**4 + 15166 + 1377*n**2 - 2486 - 8019*n.
3*(n - 9)**3*(n - 8)
Let v be (-80)/14*56/16. Let q be 22/55*v/(-52). Suppose 0*t**3 + 0 - q*t**4 + 6/13*t**2 - 4/13*t = 0. Calculate t.
-2, 0, 1
Let c(d) = 9*d - d**2 + 73 - 3*d**2 - 5*d**2 + 4*d + 4*d**2 - d**3. Let w be c(-4). Find h such that 0 + 5/4*h**w - 15/4*h**4 + 0*h - 5/4*h**2 + 15/4*h**3 = 0.
0, 1
Let m(k) be the second derivative of 5*k**7/63 - 2*k**6/5 + 7*k**5/30 + 13*k**4/9 - 4*k**3/3 - 8*k**2/3 + 151*k + 12. Solve m(h) = 0 for h.
-1, -2/5, 1, 2
Let j(i) be the first derivative of 42 - 9*i + 3/2*i**2 + 3*i**3 - 3/4*i**4. Factor j(o).
-3*(o - 3)*(o - 1)*(o + 1)
Determine i, given that 314/5*i**2 + 312/5*i + 2/5*i**3 + 0 = 0.
-156, -1, 0
Let y be (6/(-13))/((-2)/26). Let u(z) be the first derivative of 0*z**3 + 2/25*z**5 + 1 + 0*z**4 + 0*z**2 + 0*z - 1/10*z**y. Factor u(g).
-g**4*(3*g - 2)/5
Solve -3/2*r + 1/6*r**4 + 7/6*r**2 - 4/3 + 3/2*r**3 = 0.
-8, -1, 1
Let z(x) be the second derivative of -5*x**4/12 - 80*x**3/3 + 525*x**2/2 + 78*x + 2. Suppose z(m) = 0. What is m?
-35, 3
Let s = 692 + -698. Let z be (8/(-96))/(s/16). Factor 0 + 0*h**2 + z*h**3 - 2/9*h.
2*h*(h - 1)*(h + 1)/9
Determine r so that 87/2*r**4 + 251/2*r**3 + 181/2*r**2 - 9*r - 5/2*r**5 - 20 = 0.
-1, 2/5, 20
Factor 19*x**2 - 40*x + 352*x + 20*x**2 - 59*x**2 + 16*x**2.
-4*x*(x - 78)
Let t(p) = -76*p**2 + 16514*p + 33976. Let v(l) = 5*l**2 - 1101*l - 2264. Let b(m) = -6*t(m) - 92*v(m). Factor b(a).
-4*(a - 554)*(a + 2)
Factor -37 - 2 - 7*y**4 - 12*y**4 - 9 - 3*y**3 + 84*y - 36*y**2 + 22*y**4.
3*(y - 2)**2*(y - 1)*(y + 4)
Let f(z) be the third derivative of 3*z**7/385 - 7*z**6/110 - 7*z**5/110 + 5*z**4/22 + 23*z**2 + 18. Solve f(n) = 0.
-1, 0, 2/3, 5
Let l(w) = 1668*w - 3282. Let i(u) = -u**2 - 1658*u + 3284. Let s(q) = 3*i(q) + 2*l(q). Determine t so that s(t) = 0.
-548, 2
Let w be (0 + 608/6)/(194/291). Let x = w + -148. Let -2/7*g**5 + 0*g + 0*g**2 + 0 - 4/7*g**3 + 6/7*g**x = 0. Calculate g.
0, 1, 2
Let v be (0 + 1)/(7/77). Suppose -13*n = -p - 12*n + 3, 2*p + 4*n - 12 = 0. Find x such that 15*x - p*x**3 + 5*x**2 - x**4 + 6*x**4 + 2 - v*x**3 - 12 = 0.
-1, 1, 2
Let t(h) = 3*h**2 - 4*h + 23. Let o(z) = -z**2 - z. Let k(y) = 4*o(y) + t(y). Let u be k(-10). Let d + d + 4*d**u - 6*d = 0. What is d?
-1, 0, 1
Let o(v) be the second derivative of v**6/5 + 71*v**5/10 - 148*v**4/9 + 100*v**3/9 - 2*v - 161. Determine u so that o(u) = 0.
-25, 0, 2/3
Find t, given that 434/3 + 1/3*t**2 - 15*t = 0.
14, 31
Suppose 5*g - 3*a = 207, a - 74 = 3*g - 5*g. Solve -15*x**3 - 21*x**2 - g*x + 55*x - 22*x = 0 for x.
-1, -2/5, 0
Let b = -160 - -187. Find n such that -69*n**3 + b*n + 138*n**3 - 72*n**3 = 0.
-3, 0, 3
Let a = -5/12733 - -483869/38199. Let f = 166 + 50. Factor 144 - a*q**3 - f*q + 84*q**2 + 2/3*q**4.
2*(q - 6)**3*(q - 1)/3
Find a such that 2/19*a**2 - 162/19 - 48/19*a = 0.
-3, 27
Let k(g) = 23*g - 136. Let b be k(21). Factor -b + 347 - j**2 - j.
-j*(j + 1)
Suppose -31*a - 48 = -43*a. What is w in -3347*w**4 + 28830*w**2 + 3352*w**a - 344*w**3 - 595820*w - 276*w**3 + 4617605 = 0?
31
Let a(n) be the third derivative of -n**7/105 + 7*n**6/30 - 43*n**5/30 + 5*n**4/2 - 2*n**2 + 6*n - 99. Determine v, given that a(v) = 0.
0, 1, 3, 10
Let s(z) be the second derivative of 5*z**7/42 + 16*z**6/3 + 96*z**5 + 2560*z**4/3 + 10240*z**3/3 + 328*z + 2. Factor s(n).
5*n*(n + 8)**4
Let j(x) be the first derivative of 2*x**3/15 - 36*x**2 - 728*x/5 + 508. Factor j(a).
2*(a - 182)*(a + 2)/5
Suppose 9*w = 3*w + 54. Let m be 18/7 - w*16/252. Suppose 9/4*a**m - 7/4*a**4 - 5/4*a**3 + 5/4*a - 1/2 = 0. Calculate a.
-1, 2/7, 1
Let v = -110 - -183. Let c = v - 69. Factor c - 14*l + 9*l**2 + 0*l - 7*l**2 - 10*l**2.
-2*(l + 2)*(4*l - 1)
Let a(n) be the second derivative of 5*n**4/12 - 2075*n**3/2 - 3115*n**2 + 1746*n. Suppose a(i) = 0. What is i?
-1, 1246
Let w = 810 + -792. Suppose -231*f - w = -240*f. Factor -3 - 3/5*a**f - 18/5*a.
-3*(a + 1)*(a + 5)/5
Suppose 3 = 3*g - 3. Let v be ((-8)/10)/((-7868)/2940 - 60/(-28)). Factor -g - v*c + 1/2*c**2.
(c - 4)*(c + 1)/2
Suppose 5*q - 4 = -x - 11, q = -3*x + 7. Factor 19*k**4 - k**4 - 65*k**2 + 29*k**2 + 15*k**x + k**5 + 2*k**5.
3*k**2*(k - 1)*(k + 3)*(k + 4)
Let g(t) be the second derivative of -t**7/63 + 11*t**6/45 + 13*t**5/30 - 11*t**4/18 - 4*t**3/3 - 45*t - 12. Let g(w) = 0. What is w?
-1, 0, 1, 12
Let y(w) be the second derivative of w**7/42 - w**6/10 - 17*w**5/20 - 3*w**4/4 + 8*w**3/3 + 6*w**2 - 696*w. Let y(g) = 0. Calculate g.
-2, -1, 1, 6
Suppose 95 = 11*b + 7. Factor b*g**3 + 14*g**4 + 5*g**2 + g**5 - g**2 - 7*g**4 - 2*g**4.
g**2*(g + 1)*(g + 2)**2
Let i(b) be the second derivative of -b**7/84 - 7*b**6/60 - b**5/40 + 47*b**4/24 + b**3/6 - 10*b**2 + 4*b + 761. Let i(p) = 0. What is p?
-5, -4, -1, 1, 2
Determine g, given that 136/13 + 2/13*g**2 - 138/13*