ven that c(s) = 0.
-2, 14
Suppose 4 = n - 2*d, 5*n - 45 = 2*n - 5*d. Factor -31*m**3 - 135*m**2 + 135*m**2 + 16*m**3 + 5*m**5 + n*m**4.
5*m**3*(m - 1)*(m + 3)
Let y = 1151 - 1149. Let m = 5 - 3. Factor -m + y*q**2 - q**3 + 7*q**3 + q - 7*q**3.
-(q - 2)*(q - 1)*(q + 1)
Let w = -266889237/192869 + -45/10151. Let x = -1382 - w. Let 32/19*m - 14/19*m**3 + 42/19*m**4 - 8/19 - 18/19*m**5 - x*m**2 = 0. Calculate m.
-1, 2/3, 1
Let n(h) = 2*h**2 + 9*h - 31. Let l be n(-7). Solve 5*u**3 + 2*u**3 - 55*u - 2*u**3 + 65*u**2 - 3*u**l - 2*u**4 - 70*u + 60 = 0.
-4, 1, 3
Let i be 6 - (5 + (-7 - -10)). Let o be (-3 - (0 + 3)) + (6 - i). Suppose 0 + 2*g + 24*g**o + 23/2*g**3 = 0. What is g?
-2, -2/23, 0
Let r = 22 - 9. Let -15*a**2 - 3*a - a + r*a**2 = 0. Calculate a.
-2, 0
Let j = 112 + -558/5. Let n(p) = -1113*p**2 + 359499*p + 2. Let o be n(323). Factor j*x**o + 0 + 6/5*x.
2*x*(x + 3)/5
Let l(y) = y**2 + 8*y + 6. Let q be l(-8). Factor 54 + v - 13*v**2 + q*v**2 - 34*v + 10*v**2.
3*(v - 9)*(v - 2)
Let y(t) be the first derivative of -t**6/6 + 4*t**5/3 + 3*t**4/4 - 158*t**3/9 + 34*t**2 - 24*t + 1359. Let y(k) = 0. Calculate k.
-3, 2/3, 1, 2, 6
Let f be ((-12)/(984/533))/(-13). Factor 100*r + 0 - 30*r**2 - 9*r**3 - f*r**4.
-r*(r - 2)*(r + 10)**2/2
Let t(q) = 7*q**2 + 1444*q + 3264. Let n be t(-204). Suppose -1 - 2 = -a. Factor 0 + 2/3*p**5 - 2/3*p**2 + 2/3*p**4 - 2/3*p**a + n*p.
2*p**2*(p - 1)*(p + 1)**2/3
Let i(j) be the first derivative of -j**6/21 - 24*j**5/35 + 253*j**4/14 - 568*j**3/7 - 36*j**2 + 1728*j/7 - 7366. Suppose i(x) = 0. What is x?
-24, -1, 1, 6
Let o = 203 + -136. Determine k so that -6845*k**2 - 80*k - 38 - 34 + 99*k - 389*k + o = 0.
-1/37
Let r(j) be the first derivative of -6/7*j**2 + 1/7*j**3 - 161 - 9*j. Factor r(v).
3*(v - 7)*(v + 3)/7
Let t(i) be the third derivative of -i**7/175 + i**6/10 + 108*i**5/25 + 248*i**4/5 + 1408*i**3/5 - 7*i**2 + 37*i. Factor t(x).
-6*(x - 22)*(x + 4)**3/5
Let a be (166/1494 - (-256)/126) + (-2)/14. Let p(j) be the first derivative of -12*j - 1/9*j**3 - 2*j**a - 16. Solve p(y) = 0.
-6
Suppose -23*p + 38*p + 15*p = 90. Solve 4 + 37/5*i**2 - i**p - 64/5*i = 0.
2/5, 2, 5
Suppose 2*f + 3*f + 5*b = 5, 4*f - 4*b - 36 = 0. Factor -f*z**3 + 250 - 65*z**2 + 125*z**2 - 84*z - 141*z.
-5*(z - 5)**2*(z - 2)
Suppose 611 = 3*z + 101. Suppose -27*b = 62 - z. Factor -2/9*c**b - 2/9 + 8/9*c**3 - 4/3*c**2 + 8/9*c.
-2*(c - 1)**4/9
Let -45/2*g**2 - 10/3 + 34*g + 19/6*g**3 = 0. What is g?
2/19, 2, 5
Suppose -3*j + 4*w = -6*j + 22, -4*w + 26 = 5*j. Suppose -y - 2*k = -12 - 2, 0 = 2*y - 2*k + j. Factor 19*m**4 + 10*m**3 - 7*m**3 - 22*m**y.
-3*m**3*(m - 1)
Let a(s) be the second derivative of -s**4/9 + 28*s**3/9 + 48*s**2 - 57*s. Find g, given that a(g) = 0.
-4, 18
Let x(b) be the third derivative of 0 + 1/35*b**5 - 1/84*b**4 - 108*b**2 - 3/140*b**6 + 0*b + 0*b**3. Factor x(m).
-2*m*(3*m - 1)**2/7
Let g(i) = i**2 - i + 1. Suppose -2*w = 89 - 93. Let m(l) = -2*l**2 + 12*l - 25. Let b(t) = w*m(t) + 2*g(t). Solve b(o) = 0 for o.
3, 8
Let t = -5 + 8. Let v = 460 + -457. Solve t*l**3 + 0*l**v - 2*l + 3*l - 4*l**3 = 0 for l.
-1, 0, 1
Let p(t) be the first derivative of 2*t**3/15 + 339*t**2/5 + 676*t/5 + 6357. Factor p(m).
2*(m + 1)*(m + 338)/5
Let w(v) be the second derivative of -46*v**6/45 - 64*v**5/15 - 5350*v. Factor w(m).
-4*m**3*(23*m + 64)/3
Determine i, given that -2/9*i**2 + 6*i - 52/9 = 0.
1, 26
Let p be 81/(-135) - -4*824/1760. Suppose -4/11*f**2 + p*f - 2/11*f**3 - 8/11 = 0. Calculate f.
-4, 1
Let a = 15275613/4 - 47339116435/12396. Let n = a - -1/1033. Let -n*j**2 + 4/3*j - 1/3*j**4 - 4/3*j**3 + 1 = 0. What is j?
-3, -1, 1
Factor 27/4*j + 0 - 4*j**5 + 33/4*j**3 + 65/4*j**2 - 21/4*j**4.
-j*(j + 1)**3*(16*j - 27)/4
Let -589*t**4 - 596504*t**2 - 1326151875 + 218054*t**2 - 36583500*t - 664*t**3 - 1076*t**3 + 292*t**4 + 294*t**4 = 0. What is t?
-145
Let z(i) be the first derivative of -i**6/2340 - 19*i**5/195 - 361*i**4/39 + 17*i**3/3 - i + 100. Let x(c) be the third derivative of z(c). Factor x(v).
-2*(v + 38)**2/13
Let r be ((-2)/5)/(((-720)/(-32))/(-15) - -1). Suppose -8/5*k**2 + r*k**3 + 6/5 + 2/5*k**4 - 4/5*k = 0. Calculate k.
-3, -1, 1
What is k in -36/7*k**5 + 472/7*k**2 - 208/7*k + 216/7*k**4 + 32/7 - 68*k**3 = 0?
1/3, 2/3, 1, 2
Let a = -37655/2 + 18829. Let y(g) be the second derivative of 1/5*g**5 + a*g**2 + 41*g - 1/30*g**6 - 2/3*g**3 + 0 - 1/6*g**4. Solve y(t) = 0.
-1, 1, 3
Let f be 42/63*5/(5/(-3)). Let y be (-17)/(-10) - (f - 77/(-35)). Factor y*n**4 - 1/2*n**3 - 6*n + 1/2*n**5 - 11/2*n**2 - 2.
(n - 2)*(n + 1)**3*(n + 2)/2
Let l(w) = -7*w**4 + 93*w**3 - 1226*w**2 + 5026*w - 6498. Let a(x) = -11*x**4 + 140*x**3 - 1842*x**2 + 7540*x - 9747. Let p(g) = 5*a(g) - 8*l(g). Factor p(o).
(o - 19)**2*(o - 3)**2
Let a(c) be the second derivative of c**6/10 - 81*c**5/20 + 85*c**4/2 - 72*c**3 + 2*c - 2379. Determine l, given that a(l) = 0.
0, 1, 8, 18
Let u = 229554 - 229552. Factor -9/4*q**3 - 8 - 40*q - 37/2*q**u.
-(q + 4)**2*(9*q + 2)/4
Find c, given that -20*c - 52*c**2 + 49*c**2 + 143 + 20*c**3 - 10*c**3 + 161*c - 11*c**3 = 0.
-13, -1, 11
Let c(u) be the first derivative of -u**3/9 + 13*u**2/6 + 237. Determine h so that c(h) = 0.
0, 13
Let k(g) = g**3 + 2*g + 1. Let j(y) be the second derivative of y**5/5 - 10*y**4/3 - 29*y**3/6 + 29*y**2/2 - 26*y - 1. Let q(n) = 4*j(n) - 44*k(n). Factor q(o).
-4*(o + 3)**2*(7*o - 2)
Let m(f) be the second derivative of -11*f**4/12 - 5*f**3 - 23*f**2/2 - 4*f - 8. Let s(o) = 45*o**2 + 120*o + 91. Let j(t) = -9*m(t) - 2*s(t). Factor j(c).
(3*c + 5)**2
Let a(x) be the third derivative of -x**5/12 - 175*x**4/24 - 125*x**3 + 6*x**2 - 158*x. Determine n, given that a(n) = 0.
-30, -5
Let u(a) be the third derivative of 0*a + a**2 - 1/15*a**5 - 15 - 4/3*a**3 + 1/2*a**4. Factor u(p).
-4*(p - 2)*(p - 1)
Let f = -71/8 - -17/2. Let a = f + 109/120. Factor 0 + 2/15*m**2 - a*m.
2*m*(m - 4)/15
Let v = 34 - 6. Suppose -3*w = 4*w - v. Suppose -w*z**3 + 0 + 14*z**3 - 3 - 4*z**4 - 11*z + 7*z**2 + z**3 = 0. What is z?
-1, -1/4, 1, 3
Let b(n) be the second derivative of -n**5/20 - 447*n**4/2 - 399618*n**3 - 357258492*n**2 - 1309*n. Solve b(g) = 0 for g.
-894
Let u(k) be the first derivative of k**4/22 + 12*k**3/11 - 61*k**2/11 + 84*k/11 + 1232. What is l in u(l) = 0?
-21, 1, 2
Let o(p) = -2*p + 27. Let n be o(12). Let m be 39/52*12/n. Factor h**5 + 7/2*h**4 + 0 + 1/2*h + 9/2*h**m + 5/2*h**2.
h*(h + 1)**3*(2*h + 1)/2
Let j(g) be the third derivative of 1/420*g**7 + 0*g**3 + 1/20*g**5 + 7*g**2 + 7/240*g**6 - 7*g + 0*g**4 + 0. Suppose j(v) = 0. Calculate v.
-6, -1, 0
Let j = -12445 - -87187/7. Suppose 648/7 - j*w + 2/7*w**2 = 0. Calculate w.
18
Let m(i) be the first derivative of i**6/15 + 152*i**5/75 + 143*i**4/15 + 184*i**3/15 + 21*i**2/5 - 53. Solve m(l) = 0.
-21, -3, -1, -1/3, 0
Suppose -7*a + 3*o - 135 = -6*a, 615 = -5*a - 5*o. Let d be ((-4)/(-15))/(-8 + a/(-15)). Factor -2/3*p**2 - d - 4/3*p.
-2*(p + 1)**2/3
Let c(d) be the first derivative of -8/7*d + 9 - 1/14*d**4 + 46/21*d**3 - 1/3*d**6 - 38/35*d**5 + 8/7*d**2. Let c(y) = 0. Calculate y.
-2, -1, 2/7, 1
Let g(u) be the third derivative of u**6/1260 + 9*u**5/140 + 13*u**4/42 - 179*u**3/6 + 17*u**2 + u. Let m(w) be the first derivative of g(w). Solve m(r) = 0.
-26, -1
Let s(b) be the first derivative of 23*b**2 + 42 - 24*b - 20/3*b**3 - 1/2*b**4. Solve s(r) = 0.
-12, 1
Let q(b) be the second derivative of -2/7*b**5 + 49*b**2 - 28/3*b**3 - 1/105*b**6 - 21*b - 3*b**4 - 4. Factor q(r).
-2*(r - 1)*(r + 7)**3/7
Let l be (140/(-525))/((-704)/(-4950) + 4/(-18)). Solve -1/3*x**2 + 11/3 + l*x = 0.
-1, 11
Let b = 5209/57 + -1730/19. Factor -b*v**3 - v**2 + 4/3*v + 0.
-v*(v - 1)*(v + 4)/3
Let p = -12531 + 12535. Let g(v) be the second derivative of 1/60*v**5 - 5/36*v**p + 0 - 1/18*v**3 + 25*v + 5/6*v**2. Find i, given that g(i) = 0.
-1, 1, 5
Let b(k) be the first derivative of -k**5/90 - k**4/18 - k**2 + 15*k + 263. Let g(v) be the second derivative of b(v). Factor g(x).
-2*x*(x + 2)/3
Suppose 3*o - 3*l = -18, -10*o + 2 = -13*o + l. Factor -108*b - 1944*b**o - 3/2.
-3*(36*b + 1)**2/2
Factor -9*o**3 - 534252*o - 16*o**3 + 1266*o**2 - 18*o**3 + 75151448 - 8*o**3 + 50*o**3.
-(o - 422)**3
Let f(u) be the third derivative of u**6/420 + 37*u**5/42 - 1000*u**4/21 + 20500*u**