 be 8/20 + 1 - (-14)/f. Find v, given that 3/5*v**2 + 6/5 + b*v = 0.
-2, -1
Let d be 51/68*((-1400)/63)/(-25). What is a in 0*a**2 + 4/3*a**3 - d*a + 0*a**4 - 2/3*a**5 + 0 = 0?
-1, 0, 1
Let s(m) = m**3 + 9*m**2 + 8*m + 3. Let b be s(-8). Factor -4*y**2 - 1008 + 1008 - b*y + y**2.
-3*y*(y + 1)
Factor 368/11 - 360/11*x + 84/11*x**2 + 2/11*x**3.
2*(x - 2)**2*(x + 46)/11
Let q be 15 + (-24)/(-16)*(-169)/(-117)*-6. Factor 27/4*p + 0 - 3/4*p**q.
-3*p*(p - 9)/4
Suppose -25/2*h**3 - 80*h**2 + 0 - 90*h + 5/2*h**4 = 0. What is h?
-2, 0, 9
Let g(w) be the first derivative of -5*w**6/21 + 166*w**5/35 - 3*w**4/2 - 6094*w**3/21 - 1210*w**2/7 + 1574. Find i, given that g(i) = 0.
-5, -2/5, 0, 11
Let m(b) be the third derivative of -7/12*b**5 + 0*b + 5/42*b**7 + 0*b**3 - 1/3*b**6 - 3*b**2 + 5/4*b**4 + 40. Factor m(r).
5*r*(r - 2)*(r + 1)*(5*r - 3)
Let a(z) be the third derivative of z**5/105 - 290*z**4/21 - 166*z**3/3 + 68*z**2 + 7*z - 1. Suppose a(l) = 0. What is l?
-1, 581
Let r = -37/33 - -20191/231. Let h = r - 86. Factor h*t**2 - 6/7 - 4/7*t.
2*(t - 3)*(t + 1)/7
Suppose -13*h + 7*h + 30 = 0. Suppose -b - 4 = 3*t, -2*t = -h*b - t + 12. Factor -33*a + 1 + a**b + 13*a + 22*a.
(a + 1)**2
Let x(c) be the third derivative of -c**5/240 + 91*c**4/32 + 277*c**3/6 + c**2 - 101*c + 23. Factor x(s).
-(s - 277)*(s + 4)/4
Let k = 31 + -33. Let n be (-24)/20*(-5)/k + 6. Determine b, given that 13*b**3 - n*b**5 + 5*b**3 - 27*b**3 + 12*b**4 = 0.
0, 1, 3
Let w be (624/(-728))/(51/(-68)*16/42). Find g such that 12/13*g**2 - 2/13*g**w + 32/13*g + 0 = 0.
-2, 0, 8
Let y(i) = i**3 - 36*i**2 + 284*i + 52. Let g be y(12). Suppose 4*c**3 - 194/9*c**2 - 128/9 + 32*c - 2/9*c**g = 0. Calculate c.
1, 8
Suppose -573*n = -1417 + 271. What is y in 12*y**3 - 2*y**n - 21/2*y**4 + 0 + 0*y - 49/2*y**5 = 0?
-1, 0, 2/7
Let u = -119228 - -119232. Solve -4/13*h + 0 - 64/13*h**3 + 38/13*h**2 + 30/13*h**u = 0.
0, 2/15, 1
Let r be (1/(6/(-76)))/(2/(-9)). Suppose -r = -9*j - 30. Let -9/4*n + 27/8 - 3/8*n**4 - j*n**2 + 9/4*n**3 = 0. Calculate n.
-1, 1, 3
Let r be (15 + 10)*7/35. Factor 4/3*t**4 + 4/9*t**3 + 2/9*t**r - 40/9*t**2 - 6*t - 20/9.
2*(t - 2)*(t + 1)**3*(t + 5)/9
Suppose -203 - 152*w - 54*w**2 - 61*w - 31 - 11026*w**3 + 11023*w**3 = 0. What is w?
-13, -3, -2
Let h(p) be the third derivative of p**8/48 - 31*p**7/21 - 389*p**6/20 - 160*p**5/3 - 673*p**4/24 + 85*p**3 + 3*p**2 - 17. Suppose h(a) = 0. Calculate a.
-5, -1, 2/7, 51
Find z, given that 736/13*z - 2/13*z**2 - 1464/13 = 0.
2, 366
Determine p so that 5043/4 - 115497/8*p - 1413/2*p**2 - 69/8*p**3 = 0.
-41, 2/23
Let g = -5 - -3. Let o be (1 + (-46)/(-4))/((-1)/g). Determine b so that -7*b**2 - 15*b**2 + o*b**2 = 0.
0
Let j(n) be the third derivative of 98*n**2 + 0*n + 2/7*n**3 + 1/12*n**4 + 1/105*n**5 + 0. Let j(f) = 0. Calculate f.
-2, -3/2
Let n = 1194/79 - 3424/237. Suppose -y + 4 = y. Factor -n*s**y - 20/3*s - 50/3.
-2*(s + 5)**2/3
Let i(u) = 31*u**3 - 52*u**2 - 43*u + 1. Let t(c) = -15*c**3 + 24*c**2 + 21*c - 2. Let r(g) = 4*i(g) + 9*t(g). Factor r(n).
-(n - 1)**2*(11*n + 14)
Let t be -1*(-8 + 18/6). Let i be (0/1)/t*1 + 3. Let k**i + 1/2*k**4 - 1/2*k**5 - k**2 + 1/2 - 1/2*k = 0. What is k?
-1, 1
Let p(c) = 25*c**2 - 3186*c + 845883. Let m(l) = 136*l**2 - 15930*l + 4229415. Let o(y) = -2*m(y) + 11*p(y). Factor o(b).
3*(b - 531)**2
Factor -12*t + 16 - 1/4*t**3 - 15/4*t**2.
-(t - 1)*(t + 8)**2/4
Let o(r) = -7*r**3 - 5*r**2 - 3*r. Let g(z) = 10*z**3 + 7*z**2 + 4*z. Let l = -247 - -254. Let s(i) = l*o(i) + 5*g(i). Let s(q) = 0. What is q?
-1, 0, 1
Let -15*v + 3*v**4 - 3*v**2 - 20*v + 33*v - 51*v**5 + 52*v**5 + v**3 = 0. Calculate v.
-2, -1, 0, 1
Solve -602*d**4 + 20*d**2 - 602*d**4 - 609*d**4 + d + 2403*d**4 - 600*d**4 - 2*d**3 + d**5 - 10 = 0 for d.
-1, 1, 10
Let i(d) be the first derivative of 2*d**3/3 - 1076*d**2 - 11650. Determine u so that i(u) = 0.
0, 1076
What is n in -1/4*n**5 + 32*n - 12*n**2 + 0 - 7*n**3 + 3*n**4 = 0?
-2, 0, 2, 4, 8
Factor -83/5*r**2 - 724/5*r - 276/5 + r**3.
(r - 23)*(r + 6)*(5*r + 2)/5
Suppose 3*g = -5*h - 0*h + 16, h + 4 = 3*g. Factor -7*i**3 + 6*i**3 + 3*i**3 + 55*i**g + 3*i**3.
5*i**2*(i + 11)
Let l = 371686/52281 - -10/5809. Suppose 22/9*w**3 + 128/9*w - 28/3*w**2 - 2/9*w**4 - l = 0. Calculate w.
1, 2, 4
Suppose -23*b + 3000 = 2*b. Factor 107 + r**3 - b*r + 26 + 2*r**3 - 25 - 6*r**3 + 39*r**2.
-3*(r - 9)*(r - 2)**2
Let b(c) be the third derivative of -c**7/105 + 17*c**6/45 - 53*c**5/18 + 19*c**4/3 + 12*c**3 + c**2 - c. Suppose b(u) = 0. What is u?
-1/3, 2, 3, 18
Let d(p) be the second derivative of 13/36*p**3 - 1/4*p**2 + 0 - 43*p + 2/9*p**4. Factor d(s).
(s + 1)*(16*s - 3)/6
Let v(c) = 2*c**3 - 172*c**2 + 2250*c - 5960. Let u(r) = -r**3 + 115*r**2 - 1500*r + 3975. Let q(o) = 8*u(o) + 5*v(o). Determine w so that q(w) = 0.
-40, 5
Let v(o) be the third derivative of -5*o**8/336 - 5*o**7/42 - o**6/3 - o**5/3 - 10*o**2 + 37*o. Solve v(h) = 0.
-2, -1, 0
Suppose 3*l = p - 0*p - 3, 7 = p + l. Factor 277*x**2 - 134*x**2 - p*x**3 - 2*x - 135*x**2.
-2*x*(x - 1)*(3*x - 1)
Let t(g) be the first derivative of g**4/16 - 247*g**3/3 - 1979*g**2/8 - 495*g/2 + 5548. Find a, given that t(a) = 0.
-1, 990
Let y = 78 + -75. Suppose -i**2 + 6*i**4 + 3*i**3 - i**y - 7*i**4 = 0. What is i?
0, 1
Let n(a) be the first derivative of -a**7/840 + a**6/90 - a**5/30 + 2*a**3 - 8*a - 26. Let u(x) be the third derivative of n(x). Find w such that u(w) = 0.
0, 2
Let u(o) be the first derivative of o**4/4 - 4*o**3/3 - 25*o**2/2 + 28*o + 1474. Factor u(r).
(r - 7)*(r - 1)*(r + 4)
Suppose 85*q + 212*q + 115*q - 918 + 89*q + 3*q**2 - 48*q = 0. What is q?
-153, 2
What is p in -60*p**4 - 198*p**3 + 11029*p + 74*p**4 + 8971*p - 9600*p**2 + 74*p**4 - 89*p**4 = 0?
-100, 0, 2
Find j such that 194*j**2 - 44759*j + 160*j**3 - 688 - 44781*j - 15*j**2 - 4*j**4 + 337*j**2 + 89556*j = 0.
-2, 1, 43
Let w = -612 + 614. Suppose -1831*l**3 + 104*l + 7*l**4 + 1975*l**3 + 10*l**4 + 3*l**4 + 228*l**w = 0. What is l?
-26/5, -1, 0
Factor -9/5*p**2 + 60 - 33*p.
-3*(p + 20)*(3*p - 5)/5
Let n = -81873 - -1228123/15. Factor n + 2/15*t**2 - 6/5*t.
2*(t - 7)*(t - 2)/15
Let b = -26 + -187. Let j = 213 + b. Factor j - 8/5*l + 12*l**3 - 4/5*l**2.
4*l*(3*l + 1)*(5*l - 2)/5
Let g(t) = t**4 + t**2 - t. Suppose 2*s - s - 20 = 0. Let w(h) = -1469 + 1469 + 5*h**2 - 5*h - 5*h**3 - s*h**4 - 20*h**5. Let z(j) = 5*g(j) - w(j). Factor z(d).
5*d**3*(d + 1)*(4*d + 1)
Let q(b) be the first derivative of 5*b**6/39 + 72*b**5/65 + 46*b**4/13 + 68*b**3/13 + 47*b**2/13 + 12*b/13 + 1218. Solve q(r) = 0.
-3, -2, -1, -1/5
Let p be (1 + 11)*2/6. Suppose p = -2*j + 10. Factor -12*k**2 + 12*k**3 - 9*k**3 - 2*k**j + 36*k.
k*(k - 6)**2
Let n(l) be the third derivative of 2*l + 0 + 1/22*l**4 + 1/770*l**7 + 25*l**2 - 3/220*l**5 - 2/33*l**3 - 1/660*l**6. Suppose n(t) = 0. What is t?
-2, 2/3, 1
Let g(b) = 13*b**3 + 35*b**2 + 209*b + 157. Let q(c) = -9*c**3 - 23*c**2 - 140*c - 105. Let u(v) = 7*g(v) + 10*q(v). Suppose u(k) = 0. What is k?
-7, -1
Let q(u) = u**2 + 1616*u - 129605. Let k(h) = -2*h**2 - 1617*h + 129605. Let o(b) = -6*k(b) - 7*q(b). Suppose o(x) = 0. What is x?
161
Let 22/7 + 2/7*y**4 - 68/7*y + 72/7*y**2 - 4*y**3 = 0. Calculate y.
1, 11
Let d(v) be the first derivative of -1/2*v**6 + 0*v + 0*v**2 + 0*v**3 + 0*v**4 + 3/5*v**5 + 78. Factor d(i).
-3*i**4*(i - 1)
Let m be 0/((-4)/(-1) - 6). Suppose -78*g + 62*g = m. Find n, given that -1/7*n**4 - 5/7*n**2 + g - 2/7*n - 4/7*n**3 = 0.
-2, -1, 0
Let w(l) be the third derivative of l**5/390 - 619*l**4/39 + 1532644*l**3/39 - 5286*l**2. Factor w(g).
2*(g - 1238)**2/13
Factor -61193*o + 129480*o + 11220*o**2 - 98632*o + 2430*o**3 + 3*o**5 + 150*o**4 - 88434.
3*(o - 3)*(o + 2)*(o + 17)**3
Let u(r) be the first derivative of 1/66*r**4 + 4/11*r**2 + 32 - 4/33*r**3 + 19*r. Let p(l) be the first derivative of u(l). Factor p(s).
2*(s - 2)**2/11
Let h be (-7)/42 + 25/6. Suppose 3*m + 3 = 0, 3*b + 6 = h*b - 3*m. Factor 11 + 16*j**4 - 3*j**5 + 16*j - j**5 - 4*j**b - 40*j**2 + 21.
-4*(j - 2)**3*(j + 1)**2
Let d(s) = 119 - 39 - 78*s - 3*s**4 + 72*s**3 - 85*s**2 + 2*s**4 + 9*s**4. Let h(w) = -w**4 + w**3 + w. Let f(g) = d(g) + 3*h(g). Factor f(n).
5*(n - 1)**2*(n + 1)*(n + 16)
Suppose -a - v + 3*v = 17, -a + v = 21. Let p be (-5)/a + 4/(-220). Factor -p*t**2