) = 0.
0, 1
Factor 4786 + 695*v**2 + 20775 + 6046*v + 1416*v + 43799 + 5*v**3 + 17698*v.
5*(v + 3)*(v + 68)**2
Let g = -27 - 26. Let t be g/(-11) + 2/11. Determine b, given that 13*b**2 - t*b**2 - 98*b + 102*b + 10*b**2 = 0.
-2/9, 0
Factor 2028 + 82/3*z**2 - 1/3*z**3 - 611*z.
-(z - 39)**2*(z - 4)/3
Let -7/2*c**5 - 5/2*c**3 - 1/2*c**2 + 0*c + 0 + 13/2*c**4 = 0. What is c?
-1/7, 0, 1
Let z(k) = k**3 + 11*k**2 + 2*k + 1. Let l(g) = -5*g**4 - 875*g**3 + 3330*g**2 - 4420*g + 1745. Let a(i) = -l(i) - 15*z(i). Determine d, given that a(d) = 0.
-176, 1, 2
Factor 960 + 54*u**4 - 359*u**3 - 2986*u**2 + 1456*u - 2870*u**2 + u**5 + 5940*u**2.
(u - 4)**2*(u + 1)**2*(u + 60)
Let a(z) = 2*z**2 - 137*z - 1307. Let c be a(77). Find s such that -132/5*s + 1/5*s**c + 4356/5 = 0.
66
Suppose 0*d - 243 = -3*d. Find x such that d - 23*x**2 + 58 - 4*x + 67 - x**3 + 301 - 87*x = 0.
-13, 3
Let t be -6*(-3)/9 - (-4 + 2). Factor -16*p**3 + 20*p - 22*p + 2*p - t*p**4.
-4*p**3*(p + 4)
Factor -32*q**2 - 68*q**2 - 7 - 2 + 202*q + 5.
-2*(q - 2)*(50*q - 1)
Let g(x) be the third derivative of -x**5/60 + 52*x**4/3 + 3*x**2 + 400*x. Factor g(o).
-o*(o - 416)
Factor 79/2*h**2 - 157/2 + 1/4*h**3 + 155/4*h.
(h - 1)*(h + 2)*(h + 157)/4
Suppose 5*l = 10, 8*l - 2560 = -5*w + 3*l. Let q be ((-15)/(-9))/((w/(-36))/(-17)). Find b, given that 1/3*b**4 - b**3 - 2/3 + 1/3*b**q + b = 0.
-1, 1, 2
Let x(o) be the third derivative of 10/9*o**3 + 0 + 1/90*o**5 - 75*o**2 + 0*o + 7/36*o**4. Determine f, given that x(f) = 0.
-5, -2
Let k(y) be the first derivative of 49*y**6/69 + 70*y**5/23 + 93*y**4/23 + 136*y**3/69 + 8*y**2/23 + 339. Solve k(w) = 0 for w.
-2, -1, -2/7, 0
Suppose -264 = w - 42*i + 38*i, 1100 = -4*w + 5*i. Let o be (-16)/w + (-1339)/(-455). Find p, given that -2/3*p**2 + 0 + 2/3*p**4 - 2*p + 2*p**o = 0.
-3, -1, 0, 1
Let c(l) be the first derivative of -1/15*l**5 + 55 + 5*l + 10/9*l**3 - 1/3*l**4 + 14/3*l**2. Suppose c(d) = 0. Calculate d.
-5, -1, 3
Factor 52*y + 150 + 2/3*y**2.
2*(y + 3)*(y + 75)/3
Let c(y) be the second derivative of -1/72*y**4 + 62*y - 37/12*y**2 + 0 - 19/18*y**3. Factor c(w).
-(w + 1)*(w + 37)/6
Let p(z) = 2*z**3 + 36*z**2 - 30*z - 80. Let j(u) = -2*u**3 - 31*u**2 + 31*u + 80. Let b(q) = -6*j(q) - 5*p(q). Suppose b(g) = 0. Calculate g.
-5, -2, 4
Let t be 10/(-4)*220/(-275). Factor -35*q**2 + q**2 + 3*q**3 - 11*q**t + 0*q**3.
3*q**2*(q - 15)
Let o = 154 + -553. Let k = 575 + o. Factor -3*v**2 + 2*v**3 + 175*v**4 + 2*v**2 - k*v**4.
-v**2*(v - 1)**2
Let f(a) be the first derivative of -2*a**3/15 + 434*a**2/5 - 94178*a/5 - 674. Factor f(k).
-2*(k - 217)**2/5
Suppose 0 = -2*l - 2*l - f - 314, 0 = 2*l - 2*f + 162. Let g = -79 - l. Factor 0*t + g*t**3 - 2/5*t**2 + 1/5*t**4 + 1/5.
(t - 1)**2*(t + 1)**2/5
Determine w so that -166/25 - 168/25*w - 2/25*w**2 = 0.
-83, -1
Let g(j) be the first derivative of 4*j**3/3 - 11*j**2 - 11*j - 15. Let w(m) = 2*m**2 - 10*m - 6. Let u(l) = 2*g(l) - 5*w(l). Factor u(h).
-2*(h - 4)*(h + 1)
Let j(w) = -32*w - 344. Let g be j(-11). Factor -32/5*c - 12/5*c**4 - 16/5*c**2 + g*c**3 + 0.
-4*c*(c - 2)**2*(3*c + 2)/5
Factor 0*j**4 + 8/3*j**3 + 0 + 0*j + 0*j**2 - 1/6*j**5.
-j**3*(j - 4)*(j + 4)/6
Let s(u) be the third derivative of -u**5/300 - 317*u**4/20 - 301467*u**3/10 - 13*u**2 - 6. Factor s(p).
-(p + 951)**2/5
Let u be -337 + 328 - -1*26/2. Let n(g) be the second derivative of -1/24*g**3 + 1/48*g**u + 0*g**2 + 0 + 17*g. Factor n(b).
b*(b - 1)/4
Let w(z) = -24*z - 195. Let c be w(-23). Suppose 352*i + 15 = c*i. Factor 6/5*g**2 + 1/5*g**i + 4/5 + 9/5*g.
(g + 1)**2*(g + 4)/5
Suppose -4*o + 847 = z - 435, 2*o + z - 642 = 0. Let u be ((o/(-24))/10)/(-2). Factor -14/3*p**4 - 32/3*p - 50/3*p**2 - u*p**5 - 8/3 - 38/3*p**3.
-2*(p + 1)**3*(p + 2)**2/3
Suppose -2*h + 671 = 5*f - 344, f + 3*h = 203. Let d be -1*f/(-735) + 1/(-7). Determine n, given that -d*n**2 + 0*n + 0 + 2/15*n**4 + 0*n**3 = 0.
-1, 0, 1
Let v = 304 - 150. Solve -4*p**3 - 66*p - v*p + 0*p**3 - 62*p**2 + 10*p**2 - 300 = 0 for p.
-5, -3
What is y in -177*y**2 + 163*y**2 - 3678*y + 11*y**2 = 0?
-1226, 0
Let f(l) = -190*l**2 - 540*l - 595. Let w(n) = -7*n**2 - 20*n - 22. Let q = 128 - 240. Let p = -57 - q. Let t(k) = p*w(k) - 2*f(k). Solve t(m) = 0.
-2
Let n(s) be the second derivative of -32/21*s**4 + 4/105*s**6 + 29/7*s**3 - 1/147*s**7 - 36/7*s**2 + 1/7*s**5 + 2 + s. Suppose n(m) = 0. What is m?
-4, 1, 3
Suppose 0 = -i + 2*z - 134, 0 = 4*i - 23*z + 25*z + 496. Let q be (-301)/i - 3/2. Find l such that -q*l + 0*l**2 + 2/9*l**4 + 2/3*l**3 + 0 = 0.
-2, 0, 1
Factor 228*v + 8259 + 165*v**3 - 8219 - 410*v**2 - 88*v.
5*(v - 2)*(3*v - 2)*(11*v + 2)
Let v be ((-1020)/850)/(((-148)/20 - -4) + 3). Factor 0 + 1/9*d**v + 4/3*d + 7/9*d**2.
d*(d + 3)*(d + 4)/9
Let w be 3/(18/15 + (-15)/25). Let o(g) be the second derivative of -3/20*g**w - 16*g + 1/10*g**6 - 3/4*g**4 + 5/2*g**3 + 0 - 3*g**2. Solve o(n) = 0.
-2, 1
Let s(m) = -m**3 - m**2 - 2*m. Let y(i) = 6*i**3 + 334*i**2 + 7364*i + 19200. Let q(g) = 2*s(g) + y(g). Factor q(c).
4*(c + 3)*(c + 40)**2
Suppose 45 = 64*g - 49*g. Suppose 12 = 4*d + k, 2*d + g*k - 5 = 1. Factor -2/9 + 2/3*p**d + 10/9*p**2 + 2/9*p.
2*(p + 1)**2*(3*p - 1)/9
Let f be (81/30*-12)/((-4)/(-40)). Let d be f/(-63) - (-1)/(-7). Factor -4*x + 4*x**3 + 8 - d*x**2 + 3 - 3 - 3*x**2.
4*(x - 2)*(x - 1)*(x + 1)
Let s = 36 - 11. Let i be (-12)/(-5) + (-10)/s. Factor 8*v + 20 - 2*v**2 - 23*v - 3*v**i.
-5*(v - 1)*(v + 4)
Let r(l) be the second derivative of 37/24*l**4 + 2*l - 5*l**3 - 67 + 9*l**2 + 1/60*l**6 - 1/4*l**5. Let r(u) = 0. What is u?
2, 3
Suppose 2*h = -3*h - g + 4, 0 = g - 4. Let c be (-4)/34 - 568/(-1207). What is m in -4/17*m - 2/17*m**4 + h*m**3 + c*m**2 + 0 = 0?
-2, 0, 1
Let y be ((-30)/(-3) + -7)/(9/(-96)*-6). Suppose -y*x - 7/3*x**2 - 4/3 = 0. What is x?
-2, -2/7
Let q(c) be the third derivative of 2*c**2 + 0*c + 1/525*c**7 + 1/75*c**6 + 1/50*c**5 + 0*c**3 + 0*c**4 + 43. Suppose q(h) = 0. What is h?
-3, -1, 0
Determine g so that 1604/11*g - 2/11*g**2 - 321602/11 = 0.
401
Suppose -3*t + 42 = 24. Suppose a + 2 = t. Factor 15*m**5 - 3*m + 2 - 18*m**a + 11*m**3 + 11*m**3 - 8*m**2 - 10*m**5.
(m - 1)**4*(5*m + 2)
Suppose 2*s - 2*u = -s + 8, -4*u = 5*s - 28. Suppose 0 = s*a - 4*w, 0 = a + w - 4*w + 6. Solve -m**a + 23*m**2 + 8*m - 27*m**2 - 3*m**3 = 0 for m.
-2, 0, 1
Let n(d) be the third derivative of -d**6/120 - 289*d**5/60 - 12*d**4 - 4454*d**2. Suppose n(r) = 0. Calculate r.
-288, -1, 0
Let v(p) be the second derivative of p**6/90 - 8*p**5/15 + 5*p**4/2 - p**3/2 - 29*p**2/2 - p + 67. Let y(w) be the second derivative of v(w). Factor y(q).
4*(q - 15)*(q - 1)
Let k(n) be the second derivative of 0 + 0*n**2 - 1/26*n**5 - 99*n + 2/39*n**3 - 2/195*n**6 - 1/78*n**4. Determine f so that k(f) = 0.
-2, -1, 0, 1/2
Let x(d) be the second derivative of 2/7*d**2 - 1/42*d**4 - 2 + 7*d + 1/21*d**3. Let x(u) = 0. Calculate u.
-1, 2
Let u = 7667729/20973 + -1/104865. Let p = -1796/5 + u. Suppose p + 2/5*r**2 - 16/5*r = 0. Calculate r.
4
Let w(g) be the second derivative of -g**6/40 - 3*g**5/20 - g**4/4 - 163*g**2/2 - 43*g - 1. Let m(j) be the first derivative of w(j). Factor m(i).
-3*i*(i + 1)*(i + 2)
Suppose -248/7*f**2 - 2/7*f**5 + 50/7*f**3 - 408/7*f + 32/7*f**4 + 0 = 0. Calculate f.
-2, 0, 3, 17
Factor -28/3 - 82/9*t - 2/9*t**3 - 8/3*t**2.
-2*(t + 2)*(t + 3)*(t + 7)/9
Let a = 415 - 354. Let h = a + -669/11. Determine x so that 0 + 2/11*x**2 - h*x**3 + 0*x = 0.
0, 1
Let g(p) = 10092*p + 121108. Let n be g(-12). Find y, given that -64/3 + 26/3*y**n - 28/3*y**3 - 4/3*y**5 - 88/3*y**2 + 176/3*y = 0.
-2, 1/2, 2, 4
Suppose -1234*r + 4*p - 16 = -1238*r, -r + 2*p - 8 = 0. Factor -4/7*y**2 - 48/7*y + r.
-4*y*(y + 12)/7
Find s such that -340/3*s - 328 - 4/3*s**2 = 0.
-82, -3
Let a(q) be the second derivative of -q**5/4 + 85*q**4/6 - 155*q**3/6 - 165*q**2 + 2*q + 94. Let a(k) = 0. Calculate k.
-1, 2, 33
Let t(u) be the first derivative of -1/10*u**5 + 1/2*u**3 + 0*u + 1/4*u**4 - 18 + 0*u**2. Factor t(l).
-l**2*(l - 3)*(l + 1)/2
Suppose 1682 - 256*b**3 - 118*b + 835*b**2 + 732*b**2 + 417*b**2 - 4174*b = 0. What is b?
1/2, 29/8
Let n(z) be the second derivative of -7*z**5/10 + 86*z**4 - 3145*z**3 - 2738*z**2 - 116*z. Factor n(h).
-2*(h - 37)**2*(7*h + 2)
Suppose 6714 = 28*a - 10*a. Factor -4*v**2 - 6