3. Suppose 3*a**3 - 7 + 8*a + 12*a**2 + 7*a + s + 9 = 0. Calculate a.
-2, -1
Let t = 43/8 + -191/40. Let r(y) = 203*y - 1824. Let j be r(9). Solve -t*u**2 + 36/5 - 3/5*u**j + 24/5*u = 0 for u.
-2, 3
Let s = 4004673/13160 - 39/1880. Let v = s + -304. Suppose 0 - 2/21*b**2 - v*b = 0. What is b?
-3, 0
Let a be (((-600)/31500)/(1/(-14)))/(4/3). Suppose -2704/5 - 104/5*b - a*b**2 = 0. Calculate b.
-52
Let f(c) = -70*c**3 - 6560*c**2 - 4610*c + 1845. Let l(i) = 63*i**3 + 6548*i**2 + 4611*i - 1846. Let x(g) = 4*f(g) + 5*l(g). Solve x(r) = 0.
-185, -1, 2/7
Suppose -6 = -2*t + 2*a, -a - a = -4. Suppose -3*i + t*i = 496. Factor 2*r**5 + 6*r + i*r**4 + 4*r**5 + 27*r**3 - 21*r**2 - 3*r**5 - 263*r**4.
3*r*(r - 2)*(r - 1)**3
Factor -1/2*z**2 + 61*z + 0.
-z*(z - 122)/2
Suppose -231 = -2*j + 5*k + 501, -2*j + 740 = -3*k. Factor 4*v**3 + j*v + 64*v**5 - 376*v + 32*v**4.
4*v**3*(4*v + 1)**2
Let y(v) = v**2 - 18*v + 7. Let w be y(21). Factor 32*a + 676 - w*a**2 + 71*a**2 - 12*a + 32*a.
(a + 26)**2
Suppose 0 = -2*y - 0*y + 8. Let v be 3/(-9) - (88/(-3))/y. Solve 17*b**2 - 4*b**5 + 7*b**5 - v*b**4 - 13*b**2 = 0 for b.
-2/3, 0, 1, 2
Let a(j) be the first derivative of j**3/9 + 190*j**2 - 1141*j/3 + 195. Factor a(x).
(x - 1)*(x + 1141)/3
Let -5*c**4 + 60*c**3 - 140*c**2 + 0*c**4 - 43084 + 43228 + c**4 - 60*c = 0. Calculate c.
-1, 1, 3, 12
Suppose 117/7*v**2 + 3*v**3 + 78/7 + 1/7*v**4 + 25*v = 0. What is v?
-13, -6, -1
Let b be (-84)/(-10) - (-2)/(-5). Find w, given that -w**5 - 88*w - 24 + w**4 + w**5 + 2741*w**2 + 72*w**3 - b*w**5 - 2691*w**2 - 3*w**4 = 0.
-2, -1/4, 1, 3
Factor 120*t**2 - 22*t**5 - 908*t - 520*t - 1162*t**2 + 3528 + 40*t**4 + 353*t**3 + 23*t**5.
(t - 2)**2*(t + 2)*(t + 21)**2
Let h = 125455 - 125452. Factor 14/13*b**h + 38/13*b**2 - 8/13 + 16/13*b.
2*(b + 1)*(b + 2)*(7*b - 2)/13
Let y(h) be the third derivative of h**7/70 - 167*h**6/10 + 56111*h**5/10 - 55611*h**4/2 + 110889*h**3/2 - 6*h**2 + 6*h - 13. Factor y(s).
3*(s - 333)**2*(s - 1)**2
Let h = -77 - -88. Suppose y + h = 14. Determine k, given that -6*k**5 - 3*k**4 + y*k**2 + 0*k**4 + 6*k**4 - 4*k - 6 - 11*k + 21*k**3 = 0.
-1, -1/2, 1, 2
Suppose 883*b - 888*b = 3210. Let d = b + 645. Suppose 12/5*r**4 + 32/5*r**d - 12/5*r**2 + 0 + 0*r = 0. Calculate r.
-3, 0, 1/3
Let z(o) = -2*o**2 + 13*o - 19. Let v(c) = -c + 1. Let t be ((-1 + -1)*1/2)/1. Let x(i) = t*z(i) - v(i). What is n in x(n) = 0?
3
Let a(j) = -550*j + 7150. Let h be a(13). Factor 0*w**2 + h*w + w**3 + 0 + 1/3*w**4.
w**3*(w + 3)/3
Let a(t) = t**2 + 8*t - 7. Let f be a(-9). Let p be ((-819)/(-455))/(9/75). Let -p*i**5 - 8/5 - 28*i**4 + 12/5*i + 58/5*i**f - 27/5*i**3 = 0. Calculate i.
-1, -2/3, 2/5
Suppose 0 = -554*l + 548*l + 30. Find j such that -40*j**3 - l*j**4 - 32*j**5 + 0*j**2 - 2*j**2 - 37*j**4 - 2*j**2 - 26*j**4 = 0.
-1, -1/8, 0
Let w(r) be the first derivative of 4*r**5/35 + 73*r**4/14 + 1618*r**3/21 + 2592*r**2/7 + 4608*r/7 - 3011. Let w(n) = 0. Calculate n.
-16, -3, -3/2
Let 88/3 + 303/2*p**2 + 119/6*p**4 - 328/3*p + 1/2*p**5 - 551/6*p**3 = 0. Calculate p.
-44, 1, 4/3
Let h be (-2)/(-8)*(-32)/(-20)*5. Factor n**h + 6*n**2 + 16*n + 20*n - 72 - 11*n**2.
-4*(n - 6)*(n - 3)
Let k(u) be the third derivative of -25*u**8/126 + 58*u**7/21 - 253*u**6/90 - 224*u**5/45 + 10*u**4/3 + 64*u**3/9 - 1985*u**2. Solve k(t) = 0 for t.
-2/5, 1/2, 1, 8
Let w be (-2)/(-6) - (30/(-9))/2. Let h be (1 - 0)*2 + 37. Let -5*a**3 - 19*a**2 + h*a**2 - 20*a**w - 5*a**5 - 10*a**4 = 0. What is a?
-1, 0
Let n be (-6 + (-220)/(-32))/((-2)/(-8)) - (-6)/(-12). Suppose 8/5*o**2 + 0 + 7/5*o + 1/5*o**n = 0. What is o?
-7, -1, 0
Let x(p) be the first derivative of 13*p**2 - 5/108*p**4 + 0*p**3 + 3 - 1/270*p**5 + 0*p. Let t(i) be the second derivative of x(i). Solve t(y) = 0 for y.
-5, 0
Let b(p) be the third derivative of p**6/160 + 1131*p**5/20 + 426387*p**4/2 + 428661064*p**3 + 3998*p**2. Determine s so that b(s) = 0.
-1508
Let v = -489713 - -489717. Factor -17/3*p**v - 8/3*p - 22/3*p**2 - 4/3*p**5 - 28/3*p**3 - 1/3.
-(p + 1)**4*(4*p + 1)/3
Let 16/5*z**4 + 77/5*z + 82/5*z**2 - 1/5*z**5 - 98/5 - 76/5*z**3 = 0. What is z?
-1, 1, 2, 7
Let f(y) = y**3 + 33*y**2 - 329*y + 2060. Let b be f(-42). Factor 123/7*i**b + 1320/7*i + 3/7*i**3 + 1200/7.
3*(i + 1)*(i + 20)**2/7
Suppose 0 = 6*l + 35 + 25, l = r - l - 23. Find n such that 4/7*n**5 + 0 + 2/7*n - n**2 - 6/7*n**r + n**4 = 0.
-2, -1, 0, 1/4, 1
Suppose 16*x + 365*x**2 + 151*x - 807*x + 260 - 5*x**5 + 145*x**3 - 125*x**4 = 0. Calculate x.
-26, -2, 1
Let o be (1992/96612 + (-471)/(-679))/(6/14). Let 1/3*p**3 - o*p - 1/3*p**4 + p**2 + 2/3 = 0. Calculate p.
-2, 1
Let d be (16/5)/((-27)/(-45)). Suppose 8733*a = 8734*a. Factor -22/3*c**3 + 0 + a*c + d*c**4 + 8/3*c**5 + 2*c**2.
2*c**2*(c + 3)*(2*c - 1)**2/3
Let y = 53 + -54. Let v be (-6)/(y - 4/8). Determine a so that 4*a - v*a + 4*a**2 - a + 9*a = 0.
-2, 0
Let n(g) be the third derivative of g**6/300 + 17*g**5/30 - 173*g**4/60 + 29*g**3/5 - 2*g**2 - 479*g. Find i, given that n(i) = 0.
-87, 1
Suppose -4*u - 5*w = 28, -16 = -12*u + 14*u + 3*w. Let y be 972/630 + u/5. Suppose -30/7*l - 6*l**4 - 82/7*l**3 - 4/7 - y*l**5 - 74/7*l**2 = 0. Calculate l.
-2, -1, -1/4
Suppose -q + 5*s - 23 = 0, -2*q + 5*s = -0*q + 31. Let r be 5/(-1) - (-23)/q*-2. Factor 0 + 0*n**2 + 0*n - 27/8*n**4 - r*n**3 - 21/8*n**5.
-3*n**3*(n + 1)*(7*n + 2)/8
Factor 1220/21*r - 2/21*r**2 - 186050/21.
-2*(r - 305)**2/21
Let s(q) be the third derivative of q**8/57120 + q**7/3570 - q**4/24 - 33*q**2. Let l(v) be the second derivative of s(v). Determine g, given that l(g) = 0.
-6, 0
Suppose -5*p = 3*n + 30, 2*n + 17 = -2*p + 5. Determine w, given that 1/5*w**3 - 2/5*w + n - 1/5*w**2 = 0.
-1, 0, 2
Suppose -1/7*v**2 - 8/7 - 6/7*v = 0. Calculate v.
-4, -2
Suppose -2*m = 2*j - 18, 2 = 4*j - 22. Let z(y) be the first derivative of 17 + 8/3*y**m + 4*y - 1/2*y**4 - 5*y**2. Suppose z(x) = 0. What is x?
1, 2
Factor -2*x + 1/6*x**3 + 0 + 2/3*x**2.
x*(x - 2)*(x + 6)/6
Let g = -312 - -342. Suppose 24*u - g = 14*u. What is i in 4/3*i**u + 0 - 8/3*i**2 + 4/3*i = 0?
0, 1
Let q(v) be the third derivative of -2*v**4 - 1/15*v**5 - 22/3*v**3 + 9*v**2 + 0*v - 2. Factor q(y).
-4*(y + 1)*(y + 11)
Suppose 0 = h + 5*b - 17, b - 11 = -4*h - 0*b. Factor 39*q - 12*q**h - 24*q**3 + 185*q + 0*q**2 - 192 + 4*q**4.
4*(q - 4)**2*(q - 1)*(q + 3)
Let k(u) = u**3 + u. Let o be 2*(5/(-2) - -2). Let s = -342 + 345. Let v(m) = 6*m**3 + 12*m**2 + 15*m. Let h(q) = o*v(q) + s*k(q). Factor h(i).
-3*i*(i + 2)**2
Let p(f) = 234*f - 700. Let y be p(3). Let h(w) be the first derivative of 38*w**y + 29 - 52/3*w**3 - 24*w. Factor h(i).
-4*(i - 1)*(13*i - 6)
What is g in -47/5*g - 1/5*g**3 - 12/5*g**2 - 12 = 0?
-5, -4, -3
What is f in 0*f**3 - 6*f**3 + 804 - 372*f + 216*f**2 + 1389*f - f**3 + 10*f**3 = 0?
-67, -4, -1
Let a = 76211/6220 + -4/1555. Let d be (-168)/20*((-300)/48)/5. Factor a*i**2 + d*i + 9/4.
(7*i + 3)**2/4
Let q(t) = -53*t**3 - 1. Let h be q(-1). Let u = h + -50. Suppose u + 4*d**3 - 4*d + 2*d**4 - 4*d**4 - 19*d**2 + 19*d**2 = 0. Calculate d.
-1, 1
Let u be 11/14 - (68 + (-1507)/22). Find k such that 1/7*k**3 + 11/7*k - 1/7*k**4 + u*k**2 + 4/7 = 0.
-1, 4
Let s = 441 + -439. Determine c, given that 0*c**2 + 28*c + c**2 + 27 + 71 - c**2 + 2*c**s = 0.
-7
Let g(p) be the first derivative of -p**4/48 + 5*p**3/8 + 2*p**2 + 130*p - 125. Let y(u) be the first derivative of g(u). Suppose y(j) = 0. What is j?
-1, 16
Suppose 54 = 11*r + 6*r + r. Let j(a) be the second derivative of 0*a**r + 0*a**2 - 10*a - 1/55*a**5 + 0 + 0*a**4 + 1/165*a**6. Let j(y) = 0. Calculate y.
0, 2
Suppose -3*y - 70 = -5*f, 42 = 3*f - 2*y - y. Suppose -45*k - 46*k + 23*k - 55*k = 16*k. Factor k - f*x**4 - 8/7*x - 6*x**3 + 48/7*x**2.
-2*x*(x + 1)*(7*x - 2)**2/7
Let t(y) be the second derivative of 20*y - 1/12*y**4 - 1 - 1/6*y**3 + y**2. Solve t(r) = 0 for r.
-2, 1
Let h = 9934 + -9934. Let f(l) be the third derivative of -1/12*l**4 - 1/210*l**7 - 29*l**2 + 1/60*l**6 - 1/2*l**3 + 1/15*l**5 + h*l + 0. Factor f(y).
-(y - 3)*(y - 1)*(y + 1)**2
Let q = 391/18 - 128/9. Let j(n) be the first derivative of -5/4*n**4 + 0*n - 11 + q*n**2 + 10/3*n**3. Solve j(s) = 0 for s.
-1, 0, 3
Find z, given that 0*z**2 + 32/3*z**3 + 0*z - 1/3*z**5 + 0 - 4/3*z**4 = 0.
-8, 0, 4
Factor -413/4*t - 615/4 + 20